#!/bin/sh # This is a shell archive, meaning: # 1. Remove everything above the #!/bin/sh line. # 2. Save the resulting text in a file. # 3. Execute the file with /bin/sh (not csh) to create the files: # README # exq1.desc # exq1.ver1.clauses # exq1.ver1.in # exq1.ver1.out # exq1.ver2.clauses # exq1.ver2.in # exq1.ver2.out # exq2.desc # exq2.ver1.clauses # exq2.ver1.in # exq2.ver1.out # exq2.ver2.clauses # exq2.ver2.in # exq2.ver2.out # exq3.desc # exq3.ver1.clauses # exq3.ver1.in # exq3.ver1.out # exq3.ver2.clauses # exq3.ver2.in # exq3.ver2.out # This archive created: Tue Aug 16 11:20:25 1988 export PATH; PATH=/bin:$PATH if test -f 'README' then echo shar: over-writing existing file "'README'" fi cat << \SHAR_EOF > 'README' problem-set/miscellany/wang/README created : 07/24/86 revised : 07/20/88 Contents of 'wang' : -------------------- NOTE : these problems were proposed by Hao Wang; natural descriptions for them are not available. For more details on the problems, look into "Formalization & Automatic Theorem Proving" by Hao Wang. The particular version of the axioms used comes from 'Problems & Experiments from & with Automated Theorem-proving Programs' by McCharen, Overbeek, & Wos [Aug. 1976]. Main File Headings ---------------------------------------------------------------------- README : You are currently here; a description of all the files in the directory problem-set/miscellany/wang. exq1 : as above. exq2 : as above. exq3 : as above. ---------------------------------------------------------------------- For each problem, there are several standard files, which include one probname.desc file and at least one of each of probname.ver#.in, probname.ver#.clauses, and probname.ver#.out. These contain the following: probname.desc : contains the Natural Language Description of the problem, where available, as well as complete details on each formulation and each version. probname.ver#.in : contains the problem specification, input clauses, and strategy for OTTER; this file is ready to run. probname.ver#.clauses : contains the description, commentary, and the actual clauses (including the denial of the conclusion) used for probname.ver#.in, without any strategy; note that comments always are on lines beginning with a % and that clauses terminate with periods. probname.ver#.out : contains the output from running probname.ver#.in through OTTER, with proof if one is found, and with statistics on the clauses generated and CPU time used. HOW TO RUN : ---------------------------------------------------------------------- Invoke OTTER by using the following command : otter < probname.ver# [ > outfile ] [ & ] NOTE : '> outfile' may be used to send all output to a file named outfile; '&' may be used to run the program in the background. SHAR_EOF if test -f 'exq1.desc' then echo shar: over-writing existing file "'exq1.desc'" fi cat << \SHAR_EOF > 'exq1.desc' problem-set/miscellany/wang/exq1.desc created : 07/24/86 revised : 07/14/88 Natural Language Description: THIS PROBLEM IS EXQ1, PROPOSED BY WANG TO TEST THEOREM PROVERS Note: Natural descriptions for these problems are not available. For more details, look into "Formalization & Automatic Theorem Proving", by Hao Wang. Versions: exq1.ver1.in: uses UR-resolution; all clauses are in the set of support. created : by Hao Wang, 1965. verified for ITP : untested. translated for OTTER by : caw. verified for OTTER : 07/06/88. no proof found. exq1.ver2.in: uses binary resolution, factoring, and unit deletion; only the ground unit clauses are in the set of support. created : W.W. McCune verified for ITP : ? translated for OTTER by : caw. verified for OTTER : 07/14/88. SHAR_EOF if test -f 'exq1.ver1.clauses' then echo shar: over-writing existing file "'exq1.ver1.clauses'" fi cat << \SHAR_EOF > 'exq1.ver1.clauses' % problem-set/miscellany/wang/exq1.ver1.clauses % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ1, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). -R(b,k). -R(k,m). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality substitution axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq1.ver1.in' then echo shar: over-writing existing file "'exq1.ver1.in'" fi cat << \SHAR_EOF > 'exq1.ver1.in' % problem-set/miscellany/wang/exq1.ver1.in % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ1, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(UR_res). list(sos). -R(m,b). -R(b,k). -R(k,m). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality substitution axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. SHAR_EOF if test -f 'exq1.ver1.out' then echo shar: over-writing existing file "'exq1.ver1.out'" fi cat << \SHAR_EOF > 'exq1.ver1.out' % problem-set/miscellany/wang/exq1.ver1.out % created : 07/06/88 % revised : 07/08/88 OTTER release 0.9, 19 May 1988 set(UR_res). list(sos). 1 -R(m,b). 2 -R(b,k). 3 -R(k,m). 4 R(y,m) | -P(y,m) | -R(f(y),m). 5 R(y,m) | -P(y,m) | -R(f(y),y). 6 R(y,m) | -P(y,m) | P(y,f(y)). 7 R(y,m) | -P(y,m) | P(f(y),y). 8 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 9 R(y,b) | P(y,b) | -R(g(y),b). 10 R(y,b) | P(y,b) | -R(g(y),y). 11 R(y,b) | P(y,b) | P(y,g(y)). 12 R(y,b) | P(y,b) | P(g(y),y). 13 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 14 R(y,k) | -R(y,m) | P(y,k). 15 R(y,k) | -R(y,b) | P(y,k). 16 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 17 R(x,x). 18 -R(x,y) | R(y,x). 19 -R(x,y) | -R(y,z) | R(x,z). 20 -R(x,y) | -P(x,z) | P(y,z). 21 -R(x,y) | -P(z,x) | P(z,y). 22 -R(x,y) | R(f(x),f(y)). 23 -R(x,y) | R(g(x),g(y)). end_of_list. new given clause: 1 -R(m,b). new given clause: 2 -R(b,k). new given clause: 3 -R(k,m). new given clause: 17 R(x,x). new given clause: 18 -R(x,y) | R(y,x). ** KEPT: 24 (18,3) -R(m,k). ** KEPT: 25 (18,2) -R(k,b). ** KEPT: 26 (18,1) -R(b,m). new given clause: 24 (18,3) -R(m,k). new given clause: 25 (18,2) -R(k,b). new given clause: 26 (18,1) -R(b,m). new given clause: 22 -R(x,y) | R(f(x),f(y)). new given clause: 23 -R(x,y) | R(g(x),g(y)). new given clause: 14 R(y,k) | -R(y,m) | P(y,k). ** KEPT: 27 (14,24,17) P(m,k). new given clause: 27 (14,24,17) P(m,k). new given clause: 15 R(y,k) | -R(y,b) | P(y,k). ** KEPT: 28 (15,2,17) P(b,k). new given clause: 28 (15,2,17) P(b,k). new given clause: 19 -R(x,y) | -R(y,z) | R(x,z). new given clause: 20 -R(x,y) | -P(x,z) | P(y,z). new given clause: 21 -R(x,y) | -P(z,x) | P(z,y). new given clause: 4 R(y,m) | -P(y,m) | -R(f(y),m). new given clause: 5 R(y,m) | -P(y,m) | -R(f(y),y). new given clause: 6 R(y,m) | -P(y,m) | P(y,f(y)). new given clause: 7 R(y,m) | -P(y,m) | P(f(y),y). new given clause: 9 R(y,b) | P(y,b) | -R(g(y),b). new given clause: 10 R(y,b) | P(y,b) | -R(g(y),y). new given clause: 11 R(y,b) | P(y,b) | P(y,g(y)). new given clause: 12 R(y,b) | P(y,b) | P(g(y),y). new given clause: 16 R(y,k) | R(y,m) | R(y,b) | -P(y,k). new given clause: 8 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). new given clause: 13 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). ------------ END OF SEARCH ------------ sos empty. --------------- options --------------- set(UR_res). set(demod_hist). set(for_sub). set(print_kept). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(binary_res). clear(hyper_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(Unit_deletion). clear(factor). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 0). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). -------------- statistics ------------- clauses input 23 clauses given 28 clauses generated 30 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 0 clauses forward subsumed 25 (clauses subsumed by sos) 0 unit deletions 0 clauses kept 5 empty clauses 0 factors generated 0 clauses back subsumed 0 clauses not processed 0 ----------- times (seconds) ----------- run time 0.92 input time 0.25 binary_res time 0.00 hyper_res time 0.00 UR_res time 0.36 para_into time 0.00 para_from time 0.00 pre_process time 0.06 demod time 0.00 weigh time 0.00 for_sub time 0.04 unit_del time 0.00 post_process time 0.02 back_sub time 0.00 conflict time 0.02 factor time 0.00 FPA build time 0.06 IS build time 0.02 print_cl time 0.12 cl integrate time 0.02 window time 0.00 SHAR_EOF if test -f 'exq1.ver2.clauses' then echo shar: over-writing existing file "'exq1.ver2.clauses'" fi cat << \SHAR_EOF > 'exq1.ver2.clauses' % problem-set/miscellany/wang/exq1.ver2.clauses % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ1, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). -R(b,k). -R(k,m). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality substitution axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq1.ver2.in' then echo shar: over-writing existing file "'exq1.ver2.in'" fi cat << \SHAR_EOF > 'exq1.ver2.in' % problem-set/miscellany/wang/exq1.ver2.in % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ1, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(axioms). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality substitution axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. list(sos). -R(m,b). -R(b,k). -R(k,m). end_of_list. SHAR_EOF if test -f 'exq1.ver2.out' then echo shar: over-writing existing file "'exq1.ver2.out'" fi cat << \SHAR_EOF > 'exq1.ver2.out' % problem-set/miscellany/wang/exq1.ver1.out % created : 07/14/88 % revised : 07/14/88 OTTER version 0.9, 19 May 1988. set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(axioms). 1 R(y,m) | -P(y,m) | -R(f(y),m). 2 R(y,m) | -P(y,m) | -R(f(y),y). 3 R(y,m) | -P(y,m) | P(y,f(y)). 4 R(y,m) | -P(y,m) | P(f(y),y). 5 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 6 R(y,b) | P(y,b) | -R(g(y),b). 7 R(y,b) | P(y,b) | -R(g(y),y). 8 R(y,b) | P(y,b) | P(y,g(y)). 9 R(y,b) | P(y,b) | P(g(y),y). 10 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 11 R(y,k) | -R(y,m) | P(y,k). 12 R(y,k) | -R(y,b) | P(y,k). 13 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 14 R(x,x). 15 -R(x,y) | R(y,x). 16 -R(x,y) | -R(y,z) | R(x,z). 17 -R(x,y) | -P(x,z) | P(y,z). 18 -R(x,y) | -P(z,x) | P(z,y). 19 -R(x,y) | R(f(x),f(y)). 20 -R(x,y) | R(g(x),g(y)). end_of_list. list(sos). 21 -R(m,b). 22 -R(b,k). 23 -R(k,m). end_of_list. ---------------- PROOF ---------------- 1 R(y,m) | -P(y,m) | -R(f(y),m). 2 R(y,m) | -P(y,m) | -R(f(y),y). 3 R(y,m) | -P(y,m) | P(y,f(y)). 4 R(y,m) | -P(y,m) | P(f(y),y). 5 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 6 R(y,b) | P(y,b) | -R(g(y),b). 7 R(y,b) | P(y,b) | -R(g(y),y). 8 R(y,b) | P(y,b) | P(y,g(y)). 9 R(y,b) | P(y,b) | P(g(y),y). 10 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 11 R(y,k) | -R(y,m) | P(y,k). 12 R(y,k) | -R(y,b) | P(y,k). 13 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 14 R(x,x). 15 -R(x,y) | R(y,x). 18 -R(x,y) | -P(z,x) | P(z,y). 21 -R(m,b). 22 -R(b,k). 23 -R(k,m). 25 (21,15) -R(b,m). 33 (22,15) -R(k,b). 34 (22,12,14) P(b,k). 35 (22,5,23,25,34) P(k,m) | -P(k,b). 37 (23,15) -R(m,k). 41 (23,4) -P(k,m) | P(f(k),k). 42 (23,3) -P(k,m) | P(k,f(k)). 43 (23,2) -P(k,m) | -R(f(k),k). 44 (23,1) -P(k,m) | -R(f(k),m). 63 (37,11,14) P(m,k). 85 (35,10,33,21,37,63) -P(k,b). 92 (85,18) -R(x,b) | -P(k,x). 94 (85,9,33) P(g(k),k). 95 (85,8,33) P(k,g(k)). 96 (85,7,33) -R(g(k),k). 97 (85,6,33) -R(g(k),b). 100 (94,13,96,97) R(g(k),m). 102 (95,18) -R(g(k),x) | P(k,x). 491 (102,44,100) -R(f(k),m). 492 (102,43,100) -R(f(k),k). 493 (102,42,100) P(k,f(k)). 494 (102,41,100) P(f(k),k). 508 (491,13,492,494) R(f(k),b). 518 (493,92,508) . --------------- options --------------- set(binary_res). set(demod_hist). set(for_sub). set(Unit_deletion). set(print_kept). set(factor). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(hyper_res). clear(UR_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 1000). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). -------------- statistics ------------- clauses input 23 clauses given 77 clauses generated 1497 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 64 clauses forward subsumed 935 (clauses subsumed by sos) 243 unit deletions 139 clauses kept 498 empty clauses 1 factors generated 218 clauses back subsumed 120 clauses not processed 5 ----------- times (seconds) ----------- run time 110.84 input time 0.82 binary_res time 5.06 hyper_res time 0.00 UR_res time 0.00 para_into time 0.00 para_from time 0.00 pre_process time 88.40 demod time 0.00 weigh time 0.30 for_sub time 64.80 unit_del time 12.65 post_process time 22.21 back_sub time 8.26 conflict time 2.49 factor time 8.00 FPA build time 1.59 IS build time 0.69 print_cl time 5.48 cl integrate time 0.92 window time 0.00 SHAR_EOF if test -f 'exq2.desc' then echo shar: over-writing existing file "'exq2.desc'" fi cat << \SHAR_EOF > 'exq2.desc' problem-set/miscellany/wang/exq2.desc created : 07/24/86 revised : 07/14/88 Natural Language Description: THIS PROBLEM IS EXQ2, PROPOSED BY WANG TO TEST THEOREM PROVERS Note: Natural descriptions for these problems are not available. For more details, look into "Formalization & Automatic Theorem Proving", by Hao Wang. Versions: exq2.ver1.in: uses UR resolution; all clauses are in the set of support. created : from McCharen, Overbeek, & Wos paper, 1976. verified for ITP : untested. translated for OTTER by : caw. verified for OTTER : 07/06/88. no proof found. exq2.ver2.in: uses binary resolution, factoring, and unit deletion; all clauses are in the set of support. created : W.W. McCune verified for ITP : no proof. translated for OTTER by : caw. verified for OTTER : no proof in 1034 kept clauses. SHAR_EOF if test -f 'exq2.ver1.clauses' then echo shar: over-writing existing file "'exq2.ver1.clauses'" fi cat << \SHAR_EOF > 'exq2.ver1.clauses' % problem-set/miscellany/wang/exq2.ver1.clauses % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ2, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). R(b,k) | R(m,k). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq2.ver1.in' then echo shar: over-writing existing file "'exq2.ver1.in'" fi cat << \SHAR_EOF > 'exq2.ver1.in' % problem-set/miscellany/wang/exq2.ver1.in % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ2, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(UR_res). list(sos). -R(m,b). R(b,k) | R(m,k). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. SHAR_EOF if test -f 'exq2.ver1.out' then echo shar: over-writing existing file "'exq2.ver1.out'" fi cat << \SHAR_EOF > 'exq2.ver1.out' % problem-set/miscellany/wang/exq2.ver1.out % created : 07/06/88 % revised : 07/08/88 OTTER release 0.9, 19 May 1988 set(UR_res). list(sos). 1 -R(m,b). 2 R(b,k) | R(m,k). 3 R(y,j) | -R(y,k) | P(y,j). 4 R(y,j) | R(y,k) | -P(y,j). 5 R(y,m) | -P(y,m) | -R(f(y),m). 6 R(y,m) | -P(y,m) | -R(f(y),y). 7 R(y,m) | -P(y,m) | P(y,f(y)). 8 R(y,m) | -P(y,m) | P(f(y),y). 9 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 10 R(y,b) | P(y,b) | -R(g(y),b). 11 R(y,b) | P(y,b) | -R(g(y),y). 12 R(y,b) | P(y,b) | P(y,g(y)). 13 R(y,b) | P(y,b) | P(g(y),y). 14 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 15 R(y,k) | -R(y,m) | P(y,k). 16 R(y,k) | -R(y,b) | P(y,k). 17 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 18 R(x,x). 19 -R(x,y) | R(y,x). 20 -R(x,y) | -R(y,z) | R(x,z). 21 -R(x,y) | -P(x,z) | P(y,z). 22 -R(x,y) | -P(z,x) | P(z,y). 23 -R(x,y) | R(f(x),f(y)). 24 -R(x,y) | R(g(x),g(y)). end_of_list. new given clause: 1 -R(m,b). new given clause: 18 R(x,x). new given clause: 2 R(b,k) | R(m,k). new given clause: 19 -R(x,y) | R(y,x). ** KEPT: 25 (19,1) -R(b,m). new given clause: 25 (19,1) -R(b,m). new given clause: 23 -R(x,y) | R(f(x),f(y)). new given clause: 24 -R(x,y) | R(g(x),g(y)). new given clause: 3 R(y,j) | -R(y,k) | P(y,j). new given clause: 4 R(y,j) | R(y,k) | -P(y,j). new given clause: 15 R(y,k) | -R(y,m) | P(y,k). new given clause: 16 R(y,k) | -R(y,b) | P(y,k). new given clause: 20 -R(x,y) | -R(y,z) | R(x,z). new given clause: 21 -R(x,y) | -P(x,z) | P(y,z). new given clause: 22 -R(x,y) | -P(z,x) | P(z,y). new given clause: 5 R(y,m) | -P(y,m) | -R(f(y),m). new given clause: 6 R(y,m) | -P(y,m) | -R(f(y),y). new given clause: 7 R(y,m) | -P(y,m) | P(y,f(y)). new given clause: 8 R(y,m) | -P(y,m) | P(f(y),y). new given clause: 10 R(y,b) | P(y,b) | -R(g(y),b). new given clause: 11 R(y,b) | P(y,b) | -R(g(y),y). new given clause: 12 R(y,b) | P(y,b) | P(y,g(y)). new given clause: 13 R(y,b) | P(y,b) | P(g(y),y). new given clause: 17 R(y,k) | R(y,m) | R(y,b) | -P(y,k). new given clause: 9 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). new given clause: 14 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). ------------ END OF SEARCH ------------ sos empty. --------------- options --------------- set(UR_res). set(demod_hist). set(for_sub). set(print_kept). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(binary_res). clear(hyper_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(Unit_deletion). clear(factor). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 0). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). -------------- statistics ------------- clauses input 24 clauses given 25 clauses generated 10 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 0 clauses forward subsumed 9 (clauses subsumed by sos) 0 unit deletions 0 clauses kept 1 empty clauses 0 factors generated 0 clauses back subsumed 0 clauses not processed 0 ----------- times (seconds) ----------- run time 0.71 input time 0.28 binary_res time 0.00 hyper_res time 0.00 UR_res time 0.21 para_into time 0.00 para_from time 0.00 pre_process time 0.02 demod time 0.00 weigh time 0.00 for_sub time 0.01 unit_del time 0.00 post_process time 0.01 back_sub time 0.00 conflict time 0.00 factor time 0.00 FPA build time 0.06 IS build time 0.02 print_cl time 0.11 cl integrate time 0.02 window time 0.00 SHAR_EOF if test -f 'exq2.ver2.clauses' then echo shar: over-writing existing file "'exq2.ver2.clauses'" fi cat << \SHAR_EOF > 'exq2.ver2.clauses' % problem-set/miscellany/wang/exq2.ver2.clauses % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ2, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). R(b,k) | R(m,k). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq2.ver2.in' then echo shar: over-writing existing file "'exq2.ver2.in'" fi cat << \SHAR_EOF > 'exq2.ver2.in' % problem-set/miscellany/wang/exq2.ver2.in % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ2, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(sos). -R(m,b). R(b,k) | R(m,k). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. SHAR_EOF if test -f 'exq2.ver2.out' then echo shar: over-writing existing file "'exq2.ver2.out'" fi cat << \SHAR_EOF > 'exq2.ver2.out' % problem-set/miscellany/wang/exq2.ver2.out % created : 07/14/88 % revised : 07/14/88 OTTER version 0.9, 19 May 1988. set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(sos). 1 -R(m,b). 2 R(b,k) | R(m,k). 3 R(y,j) | -R(y,k) | P(y,j). 4 R(y,j) | R(y,k) | -P(y,j). 5 R(y,m) | -P(y,m) | -R(f(y),m). 6 R(y,m) | -P(y,m) | -R(f(y),y). 7 R(y,m) | -P(y,m) | P(y,f(y)). 8 R(y,m) | -P(y,m) | P(f(y),y). 9 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 10 R(y,b) | P(y,b) | -R(g(y),b). 11 R(y,b) | P(y,b) | -R(g(y),y). 12 R(y,b) | P(y,b) | P(y,g(y)). 13 R(y,b) | P(y,b) | P(g(y),y). 14 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 15 R(y,k) | -R(y,m) | P(y,k). 16 R(y,k) | -R(y,b) | P(y,k). 17 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 18 R(x,x). 19 -R(x,y) | R(y,x). 20 -R(x,y) | -R(y,z) | R(x,z). 21 -R(x,y) | -P(x,z) | P(y,z). 22 -R(x,y) | -P(z,x) | P(z,y). 23 -R(x,y) | R(f(x),f(y)). 24 -R(x,y) | R(g(x),g(y)). end_of_list. new given clause: 1 -R(m,b). new given clause: 18 R(x,x). new given clause: 2 R(b,k) | R(m,k). new given clause: 19 -R(x,y) | R(y,x). ** KEPT: 25 (19,2) R(k,m) | R(b,k). ** KEPT: 26 (19,2) R(k,b) | R(m,k). ** KEPT: 27 (19,1) -R(b,m). new given clause: 27 (19,1) -R(b,m). new given clause: 25 (19,2) R(k,m) | R(b,k). ** KEPT: 28 (25,19) R(k,m) | R(k,b). new given clause: 26 (19,2) R(k,b) | R(m,k). new given clause: 28 (25,19) R(k,m) | R(k,b). new given clause: 23 -R(x,y) | R(f(x),f(y)). ** KEPT: 29 (23,28) R(f(k),f(b)) | R(k,m). ** KEPT: 30 (23,28) R(f(k),f(m)) | R(k,b). ** KEPT: 31 (23,26) R(f(m),f(k)) | R(k,b). ** KEPT: 32 (23,26) R(f(k),f(b)) | R(m,k). ** KEPT: 33 (23,25) R(f(b),f(k)) | R(k,m). ** KEPT: 34 (23,25) R(f(k),f(m)) | R(b,k). ** KEPT: 35 (23,23) R(f(f(x)),f(f(y))) | -R(x,y). ** KEPT: 36 (23,19) R(f(x),f(y)) | -R(y,x). ** KEPT: 37 (23,2) R(f(m),f(k)) | R(b,k). ** KEPT: 38 (23,2) R(f(b),f(k)) | R(m,k). new given clause: 24 -R(x,y) | R(g(x),g(y)). ** KEPT: 39 (24,28) R(g(k),g(b)) | R(k,m). ** KEPT: 40 (24,28) R(g(k),g(m)) | R(k,b). ** KEPT: 41 (24,26) R(g(m),g(k)) | R(k,b). ** KEPT: 42 (24,26) R(g(k),g(b)) | R(m,k). ** KEPT: 43 (24,25) R(g(b),g(k)) | R(k,m). ** KEPT: 44 (24,25) R(g(k),g(m)) | R(b,k). ** KEPT: 45 (24,24) R(g(g(x)),g(g(y))) | -R(x,y). ** KEPT: 46 (24,23) R(g(f(x)),g(f(y))) | -R(x,y). ** KEPT: 47 (24,19) R(g(x),g(y)) | -R(y,x). ** KEPT: 48 (24,2) R(g(m),g(k)) | R(b,k). ** KEPT: 49 (24,2) R(g(b),g(k)) | R(m,k). ** KEPT: 50 (24,23) -R(x,y) | R(f(g(x)),f(g(y))). new given clause: 29 (23,28) R(f(k),f(b)) | R(k,m). ** KEPT: 51 (29,24) R(k,m) | R(g(f(k)),g(f(b))). ** KEPT: 52 (29,23) R(k,m) | R(f(f(k)),f(f(b))). ** KEPT: 53 (29,24) R(f(k),f(b)) | R(g(k),g(m)). ** KEPT: 54 (29,23) R(f(k),f(b)) | R(f(k),f(m)). new given clause: 30 (23,28) R(f(k),f(m)) | R(k,b). ** KEPT: 55 (30,24) R(k,b) | R(g(f(k)),g(f(m))). ** KEPT: 56 (30,23) R(k,b) | R(f(f(k)),f(f(m))). ** KEPT: 57 (30,24) R(f(k),f(m)) | R(g(k),g(b)). new given clause: 31 (23,26) R(f(m),f(k)) | R(k,b). ** KEPT: 58 (31,24) R(k,b) | R(g(f(m)),g(f(k))). ** KEPT: 59 (31,23) R(k,b) | R(f(f(m)),f(f(k))). ** KEPT: 60 (31,24) R(f(m),f(k)) | R(g(k),g(b)). ** KEPT: 61 (31,23) R(f(m),f(k)) | R(f(k),f(b)). new given clause: 32 (23,26) R(f(k),f(b)) | R(m,k). ** KEPT: 62 (32,24) R(m,k) | R(g(f(k)),g(f(b))). ** KEPT: 63 (32,23) R(m,k) | R(f(f(k)),f(f(b))). ** KEPT: 64 (32,24) R(f(k),f(b)) | R(g(m),g(k)). new given clause: 33 (23,25) R(f(b),f(k)) | R(k,m). ** KEPT: 65 (33,24) R(k,m) | R(g(f(b)),g(f(k))). ** KEPT: 66 (33,23) R(k,m) | R(f(f(b)),f(f(k))). ** KEPT: 67 (33,24) R(f(b),f(k)) | R(g(k),g(m)). ** KEPT: 68 (33,23) R(f(b),f(k)) | R(f(k),f(m)). new given clause: 34 (23,25) R(f(k),f(m)) | R(b,k). ** KEPT: 69 (34,24) R(b,k) | R(g(f(k)),g(f(m))). ** KEPT: 70 (34,23) R(b,k) | R(f(f(k)),f(f(m))). ** KEPT: 71 (34,24) R(f(k),f(m)) | R(g(b),g(k)). new given clause: 36 (23,19) R(f(x),f(y)) | -R(y,x). ** KEPT: 72 (36,24) -R(x,y) | R(g(f(y)),g(f(x))). ** KEPT: 73 (36,23) -R(x,y) | R(f(f(y)),f(f(x))). ** KEPT: 74 (36,34) R(f(f(m)),f(f(k))) | R(b,k). ** KEPT: 75 (36,33) R(f(m),f(k)) | R(f(b),f(k)). ** KEPT: 76 (36,32) R(f(f(b)),f(f(k))) | R(m,k). ** KEPT: 77 (36,24) R(f(g(x)),f(g(y))) | -R(y,x). new given clause: 37 (23,2) R(f(m),f(k)) | R(b,k). ** KEPT: 78 (37,24) R(b,k) | R(g(f(m)),g(f(k))). ** KEPT: 79 (37,24) R(f(m),f(k)) | R(g(b),g(k)). new given clause: 38 (23,2) R(f(b),f(k)) | R(m,k). ** KEPT: 80 (38,24) R(m,k) | R(g(f(b)),g(f(k))). ** KEPT: 81 (38,24) R(f(b),f(k)) | R(g(m),g(k)). new given clause: 39 (24,28) R(g(k),g(b)) | R(k,m). ** KEPT: 82 (39,36) R(k,m) | R(f(g(b)),f(g(k))). ** KEPT: 83 (39,24) R(k,m) | R(g(g(k)),g(g(b))). ** KEPT: 84 (39,23) R(k,m) | R(f(g(k)),f(g(b))). ** KEPT: 85 (39,24) R(g(k),g(b)) | R(g(k),g(m)). new given clause: 40 (24,28) R(g(k),g(m)) | R(k,b). ** KEPT: 86 (40,36) R(k,b) | R(f(g(m)),f(g(k))). ** KEPT: 87 (40,24) R(k,b) | R(g(g(k)),g(g(m))). ** KEPT: 88 (40,23) R(k,b) | R(f(g(k)),f(g(m))). new given clause: 41 (24,26) R(g(m),g(k)) | R(k,b). ** KEPT: 89 (41,24) R(k,b) | R(g(g(m)),g(g(k))). ** KEPT: 90 (41,24) R(g(m),g(k)) | R(g(k),g(b)). new given clause: 42 (24,26) R(g(k),g(b)) | R(m,k). ** KEPT: 91 (42,36) R(m,k) | R(f(g(b)),f(g(k))). ** KEPT: 92 (42,24) R(m,k) | R(g(g(k)),g(g(b))). ** KEPT: 93 (42,23) R(m,k) | R(f(g(k)),f(g(b))). new given clause: 43 (24,25) R(g(b),g(k)) | R(k,m). ** KEPT: 94 (43,24) R(k,m) | R(g(g(b)),g(g(k))). ** KEPT: 95 (43,24) R(g(b),g(k)) | R(g(k),g(m)). new given clause: 44 (24,25) R(g(k),g(m)) | R(b,k). ** KEPT: 96 (44,36) R(b,k) | R(f(g(m)),f(g(k))). ** KEPT: 97 (44,24) R(b,k) | R(g(g(k)),g(g(m))). ** KEPT: 98 (44,23) R(b,k) | R(f(g(k)),f(g(m))). new given clause: 47 (24,19) R(g(x),g(y)) | -R(y,x). ** KEPT: 99 (47,24) -R(x,y) | R(g(g(y)),g(g(x))). ** KEPT: 100 (47,44) R(g(g(m)),g(g(k))) | R(b,k). ** KEPT: 101 (47,43) R(g(m),g(k)) | R(g(b),g(k)). ** KEPT: 102 (47,42) R(g(g(b)),g(g(k))) | R(m,k). new given clause: 48 (24,2) R(g(m),g(k)) | R(b,k). new given clause: 49 (24,2) R(g(b),g(k)) | R(m,k). new given clause: 3 R(y,j) | -R(y,k) | P(y,j). ** KEPT: 103 (3,47) -R(x,k) | P(x,j) | R(g(j),g(x)). ** KEPT: 104 (3,36) -R(x,k) | P(x,j) | R(f(j),f(x)). ** KEPT: 105 (3,24) -R(x,k) | P(x,j) | R(g(x),g(j)). ** KEPT: 106 (3,23) -R(x,k) | P(x,j) | R(f(x),f(j)). ** KEPT: 107 (3,19) -R(x,k) | P(x,j) | R(j,x). ** KEPT: 108 (3,49) R(m,j) | P(m,j) | R(g(b),g(k)). ** KEPT: 109 (3,48) R(b,j) | P(b,j) | R(g(m),g(k)). ** KEPT: 110 (3,44) R(b,j) | P(b,j) | R(g(k),g(m)). ** KEPT: 111 (3,42) R(m,j) | P(m,j) | R(g(k),g(b)). ** KEPT: 112 (3,38) R(m,j) | P(m,j) | R(f(b),f(k)). ** KEPT: 113 (3,37) R(b,j) | P(b,j) | R(f(m),f(k)). ** KEPT: 114 (3,34) R(b,j) | P(b,j) | R(f(k),f(m)). ** KEPT: 115 (3,32) R(m,j) | P(m,j) | R(f(k),f(b)). ** KEPT: 116 (3,26) R(m,j) | P(m,j) | R(k,b). ** KEPT: 117 (3,25) R(b,j) | P(b,j) | R(k,m). ** KEPT: 118 (3,19) R(x,j) | P(x,j) | -R(k,x). ** KEPT: 119 (3,18) R(k,j) | P(k,j). ** KEPT: 120 (3,2) R(m,j) | P(m,j) | R(b,k). ** KEPT: 121 (3,2) R(b,j) | P(b,j) | R(m,k). new given clause: 119 (3,18) R(k,j) | P(k,j). ** KEPT: 122 (119,47) P(k,j) | R(g(j),g(k)). ** KEPT: 123 (119,36) P(k,j) | R(f(j),f(k)). ** KEPT: 124 (119,24) P(k,j) | R(g(k),g(j)). ** KEPT: 125 (119,23) P(k,j) | R(f(k),f(j)). ** KEPT: 126 (119,19) P(k,j) | R(j,k). new given clause: 126 (119,19) P(k,j) | R(j,k). new given clause: 122 (119,47) P(k,j) | R(g(j),g(k)). ** KEPT: 127 (122,47) P(k,j) | R(g(g(k)),g(g(j))). ** KEPT: 128 (122,36) P(k,j) | R(f(g(k)),f(g(j))). ** KEPT: 129 (122,24) P(k,j) | R(g(g(j)),g(g(k))). ** KEPT: 130 (122,23) P(k,j) | R(f(g(j)),f(g(k))). new given clause: 123 (119,36) P(k,j) | R(f(j),f(k)). ** KEPT: 131 (123,47) P(k,j) | R(g(f(k)),g(f(j))). ** KEPT: 132 (123,36) P(k,j) | R(f(f(k)),f(f(j))). ** KEPT: 133 (123,24) P(k,j) | R(g(f(j)),g(f(k))). ** KEPT: 134 (123,23) P(k,j) | R(f(f(j)),f(f(k))). new given clause: 124 (119,24) P(k,j) | R(g(k),g(j)). new given clause: 125 (119,23) P(k,j) | R(f(k),f(j)). new given clause: 4 R(y,j) | R(y,k) | -P(y,j). ** KEPT: 135 (4,47) R(x,k) | -P(x,j) | R(g(j),g(x)). ** KEPT: 136 (4,36) R(x,k) | -P(x,j) | R(f(j),f(x)). ** KEPT: 137 (4,24) R(x,k) | -P(x,j) | R(g(x),g(j)). ** KEPT: 138 (4,23) R(x,k) | -P(x,j) | R(f(x),f(j)). ** KEPT: 139 (4,19) R(x,k) | -P(x,j) | R(j,x). ** KEPT: 140 (4,47) R(x,j) | -P(x,j) | R(g(k),g(x)). ** KEPT: 141 (4,36) R(x,j) | -P(x,j) | R(f(k),f(x)). ** KEPT: 142 (4,24) R(x,j) | -P(x,j) | R(g(x),g(k)). ** KEPT: 143 (4,23) R(x,j) | -P(x,j) | R(f(x),f(k)). ** KEPT: 144 (4,19) R(x,j) | -P(x,j) | R(k,x). new given clause: 15 R(y,k) | -R(y,m) | P(y,k). ** KEPT: 145 (15,47) -R(x,m) | P(x,k) | R(g(k),g(x)). ** KEPT: 146 (15,36) -R(x,m) | P(x,k) | R(f(k),f(x)). ** KEPT: 147 (15,24) -R(x,m) | P(x,k) | R(g(x),g(k)). ** KEPT: 148 (15,23) -R(x,m) | P(x,k) | R(f(x),f(k)). ** KEPT: 149 (15,19) -R(x,m) | P(x,k) | R(k,x). ** KEPT: 150 (15,3) -R(x,m) | P(x,k) | R(x,j) | P(x,j). ** KEPT: 151 (15,19) R(x,k) | P(x,k) | -R(m,x). ** KEPT: 152 (15,18) R(m,k) | P(m,k). new given clause: 152 (15,18) R(m,k) | P(m,k). ** KEPT: 153 (152,47) P(m,k) | R(g(k),g(m)). ** KEPT: 154 (152,36) P(m,k) | R(f(k),f(m)). ** KEPT: 155 (152,24) P(m,k) | R(g(m),g(k)). ** KEPT: 156 (152,23) P(m,k) | R(f(m),f(k)). ** KEPT: 157 (152,19) P(m,k) | R(k,m). ** KEPT: 158 (152,3) P(m,k) | R(m,j) | P(m,j). new given clause: 157 (152,19) P(m,k) | R(k,m). new given clause: 153 (152,47) P(m,k) | R(g(k),g(m)). ** KEPT: 159 (153,47) P(m,k) | R(g(g(m)),g(g(k))). ** KEPT: 160 (153,36) P(m,k) | R(f(g(m)),f(g(k))). ** KEPT: 161 (153,24) P(m,k) | R(g(g(k)),g(g(m))). ** KEPT: 162 (153,23) P(m,k) | R(f(g(k)),f(g(m))). new given clause: 154 (152,36) P(m,k) | R(f(k),f(m)). ** KEPT: 163 (154,47) P(m,k) | R(g(f(m)),g(f(k))). ** KEPT: 164 (154,36) P(m,k) | R(f(f(m)),f(f(k))). ** KEPT: 165 (154,24) P(m,k) | R(g(f(k)),g(f(m))). ** KEPT: 166 (154,23) P(m,k) | R(f(f(k)),f(f(m))). new given clause: 155 (152,24) P(m,k) | R(g(m),g(k)). new given clause: 156 (152,23) P(m,k) | R(f(m),f(k)). new given clause: 16 R(y,k) | -R(y,b) | P(y,k). ** KEPT: 167 (16,47) -R(x,b) | P(x,k) | R(g(k),g(x)). ** KEPT: 168 (16,36) -R(x,b) | P(x,k) | R(f(k),f(x)). ** KEPT: 169 (16,24) -R(x,b) | P(x,k) | R(g(x),g(k)). ** KEPT: 170 (16,23) -R(x,b) | P(x,k) | R(f(x),f(k)). ** KEPT: 171 (16,19) -R(x,b) | P(x,k) | R(k,x). ** KEPT: 172 (16,3) -R(x,b) | P(x,k) | R(x,j) | P(x,j). ** KEPT: 173 (16,19) R(x,k) | P(x,k) | -R(b,x). ** KEPT: 174 (16,18) R(b,k) | P(b,k). new given clause: 174 (16,18) R(b,k) | P(b,k). ** KEPT: 175 (174,47) P(b,k) | R(g(k),g(b)). ** KEPT: 176 (174,36) P(b,k) | R(f(k),f(b)). ** KEPT: 177 (174,24) P(b,k) | R(g(b),g(k)). ** KEPT: 178 (174,23) P(b,k) | R(f(b),f(k)). ** KEPT: 179 (174,19) P(b,k) | R(k,b). ** KEPT: 180 (174,3) P(b,k) | R(b,j) | P(b,j). new given clause: 179 (174,19) P(b,k) | R(k,b). new given clause: 175 (174,47) P(b,k) | R(g(k),g(b)). ** KEPT: 181 (175,47) P(b,k) | R(g(g(b)),g(g(k))). ** KEPT: 182 (175,36) P(b,k) | R(f(g(b)),f(g(k))). ** KEPT: 183 (175,24) P(b,k) | R(g(g(k)),g(g(b))). ** KEPT: 184 (175,23) P(b,k) | R(f(g(k)),f(g(b))). new given clause: 176 (174,36) P(b,k) | R(f(k),f(b)). ** KEPT: 185 (176,47) P(b,k) | R(g(f(b)),g(f(k))). ** KEPT: 186 (176,36) P(b,k) | R(f(f(b)),f(f(k))). ** KEPT: 187 (176,24) P(b,k) | R(g(f(k)),g(f(b))). ** KEPT: 188 (176,23) P(b,k) | R(f(f(k)),f(f(b))). new given clause: 177 (174,24) P(b,k) | R(g(b),g(k)). new given clause: 178 (174,23) P(b,k) | R(f(b),f(k)). new given clause: 20 -R(x,y) | -R(y,z) | R(x,z). ** KEPT: 189 (20,179) -R(b,x) | R(k,x) | P(b,k). ** KEPT: 190 (20,178) -R(f(k),x) | R(f(b),x) | P(b,k). ** KEPT: 191 (20,177) -R(g(k),x) | R(g(b),x) | P(b,k). ** KEPT: 192 (20,176) -R(f(b),x) | R(f(k),x) | P(b,k). ** KEPT: 193 (20,175) -R(g(b),x) | R(g(k),x) | P(b,k). ** KEPT: 194 (20,174) -R(k,x) | R(b,x) | P(b,k). ** KEPT: 195 (20,157) -R(m,x) | R(k,x) | P(m,k). ** KEPT: 196 (20,156) -R(f(k),x) | R(f(m),x) | P(m,k). ** KEPT: 197 (20,155) -R(g(k),x) | R(g(m),x) | P(m,k). ** KEPT: 198 (20,154) -R(f(m),x) | R(f(k),x) | P(m,k). ** KEPT: 199 (20,153) -R(g(m),x) | R(g(k),x) | P(m,k). ** KEPT: 200 (20,152) -R(k,x) | R(m,x) | P(m,k). ** KEPT: 201 (20,126) -R(k,x) | R(j,x) | P(k,j). ** KEPT: 202 (20,125) -R(f(j),x) | R(f(k),x) | P(k,j). ** KEPT: 203 (20,124) -R(g(j),x) | R(g(k),x) | P(k,j). ** KEPT: 204 (20,123) -R(f(k),x) | R(f(j),x) | P(k,j). ** KEPT: 205 (20,122) -R(g(k),x) | R(g(j),x) | P(k,j). ** KEPT: 206 (20,119) -R(j,x) | R(k,x) | P(k,j). ** KEPT: 207 (20,49) -R(k,x) | R(m,x) | R(g(b),g(k)). ** KEPT: 208 (20,49) -R(g(k),x) | R(g(b),x) | R(m,k). ** KEPT: 209 (20,48) -R(k,x) | R(b,x) | R(g(m),g(k)). ** KEPT: 210 (20,48) -R(g(k),x) | R(g(m),x) | R(b,k). ** KEPT: 211 (20,47) -R(g(x),y) | R(g(z),y) | -R(x,z). ** KEPT: 212 (20,44) -R(k,x) | R(b,x) | R(g(k),g(m)). ** KEPT: 213 (20,44) -R(g(m),x) | R(g(k),x) | R(b,k). ** KEPT: 214 (20,43) -R(m,x) | R(k,x) | R(g(b),g(k)). ** KEPT: 215 (20,43) -R(g(k),x) | R(g(b),x) | R(k,m). ** KEPT: 216 (20,42) -R(k,x) | R(m,x) | R(g(k),g(b)). ** KEPT: 217 (20,42) -R(g(b),x) | R(g(k),x) | R(m,k). ** KEPT: 218 (20,41) -R(b,x) | R(k,x) | R(g(m),g(k)). ** KEPT: 219 (20,41) -R(g(k),x) | R(g(m),x) | R(k,b). ** KEPT: 220 (20,40) -R(b,x) | R(k,x) | R(g(k),g(m)). ** KEPT: 221 (20,40) -R(g(m),x) | R(g(k),x) | R(k,b). ** KEPT: 222 (20,39) -R(m,x) | R(k,x) | R(g(k),g(b)). ** KEPT: 223 (20,39) -R(g(b),x) | R(g(k),x) | R(k,m). ** KEPT: 224 (20,38) -R(k,x) | R(m,x) | R(f(b),f(k)). ** KEPT: 225 (20,38) -R(f(k),x) | R(f(b),x) | R(m,k). ** KEPT: 226 (20,37) -R(k,x) | R(b,x) | R(f(m),f(k)). ** KEPT: 227 (20,37) -R(f(k),x) | R(f(m),x) | R(b,k). ** KEPT: 228 (20,36) -R(f(x),y) | R(f(z),y) | -R(x,z). ** KEPT: 229 (20,34) -R(k,x) | R(b,x) | R(f(k),f(m)). ** KEPT: 230 (20,34) -R(f(m),x) | R(f(k),x) | R(b,k). ** KEPT: 231 (20,33) -R(m,x) | R(k,x) | R(f(b),f(k)). ** KEPT: 232 (20,33) -R(f(k),x) | R(f(b),x) | R(k,m). ** KEPT: 233 (20,32) -R(k,x) | R(m,x) | R(f(k),f(b)). ** KEPT: 234 (20,32) -R(f(b),x) | R(f(k),x) | R(m,k). ** KEPT: 235 (20,31) -R(b,x) | R(k,x) | R(f(m),f(k)). ** KEPT: 236 (20,31) -R(f(k),x) | R(f(m),x) | R(k,b). ** KEPT: 237 (20,30) -R(b,x) | R(k,x) | R(f(k),f(m)). ** KEPT: 238 (20,30) -R(f(m),x) | R(f(k),x) | R(k,b). ** KEPT: 239 (20,29) -R(m,x) | R(k,x) | R(f(k),f(b)). ** KEPT: 240 (20,29) -R(f(b),x) | R(f(k),x) | R(k,m). ** KEPT: 241 (20,28) -R(b,x) | R(k,x) | R(k,m). ** KEPT: 242 (20,28) -R(m,x) | R(k,x) | R(k,b). ** KEPT: 243 (20,26) -R(k,x) | R(m,x) | R(k,b). ** KEPT: 244 (20,26) -R(b,x) | R(k,x) | R(m,k). ** KEPT: 245 (20,25) -R(k,x) | R(b,x) | R(k,m). ** KEPT: 246 (20,25) -R(m,x) | R(k,x) | R(b,k). ** KEPT: 247 (20,24) -R(g(x),y) | R(g(z),y) | -R(z,x). ** KEPT: 248 (20,23) -R(f(x),y) | R(f(z),y) | -R(z,x). ** KEPT: 249 (20,20) -R(x,y) | R(z,y) | -R(z,u) | -R(u,x). ** KEPT: 250 (20,19) -R(x,y) | R(z,y) | -R(x,z). ** KEPT: 251 (20,16) -R(k,x) | R(y,x) | -R(y,b) | P(y,k). ** KEPT: 252 (20,15) -R(k,x) | R(y,x) | -R(y,m) | P(y,k). ** KEPT: 253 (20,4) -R(k,x) | R(y,x) | R(y,j) | -P(y,j). ** KEPT: 254 (20,4) -R(j,x) | R(y,x) | R(y,k) | -P(y,j). ** KEPT: 255 (20,3) -R(j,x) | R(y,x) | -R(y,k) | P(y,j). ** KEPT: 256 (20,2) -R(k,x) | R(m,x) | R(b,k). ** KEPT: 257 (20,2) -R(k,x) | R(b,x) | R(m,k). ** KEPT: 258 (20,179) -R(x,k) | R(x,b) | P(b,k). ** KEPT: 259 (20,178) -R(x,f(b)) | R(x,f(k)) | P(b,k). ** KEPT: 260 (20,177) -R(x,g(b)) | R(x,g(k)) | P(b,k). ** KEPT: 261 (20,176) -R(x,f(k)) | R(x,f(b)) | P(b,k). ** KEPT: 262 (20,175) -R(x,g(k)) | R(x,g(b)) | P(b,k). ** KEPT: 263 (20,174) -R(x,b) | R(x,k) | P(b,k). ** KEPT: 264 (20,157) -R(x,k) | R(x,m) | P(m,k). ** KEPT: 265 (20,156) -R(x,f(m)) | R(x,f(k)) | P(m,k). ** KEPT: 266 (20,155) -R(x,g(m)) | R(x,g(k)) | P(m,k). ** KEPT: 267 (20,154) -R(x,f(k)) | R(x,f(m)) | P(m,k). ** KEPT: 268 (20,153) -R(x,g(k)) | R(x,g(m)) | P(m,k). ** KEPT: 269 (20,152) -R(x,m) | R(x,k) | P(m,k). ** KEPT: 270 (20,126) -R(x,j) | R(x,k) | P(k,j). ** KEPT: 271 (20,125) -R(x,f(k)) | R(x,f(j)) | P(k,j). ** KEPT: 272 (20,124) -R(x,g(k)) | R(x,g(j)) | P(k,j). ** KEPT: 273 (20,123) -R(x,f(j)) | R(x,f(k)) | P(k,j). ** KEPT: 274 (20,122) -R(x,g(j)) | R(x,g(k)) | P(k,j). ** KEPT: 275 (20,119) -R(x,k) | R(x,j) | P(k,j). ** KEPT: 276 (20,49) -R(x,m) | R(x,k) | R(g(b),g(k)). ** KEPT: 277 (20,49) -R(x,g(b)) | R(x,g(k)) | R(m,k). ** KEPT: 278 (20,48) -R(x,b) | R(x,k) | R(g(m),g(k)). ** KEPT: 279 (20,48) -R(x,g(m)) | R(x,g(k)) | R(b,k). ** KEPT: 280 (20,47) -R(x,g(y)) | R(x,g(z)) | -R(z,y). ** KEPT: 281 (20,44) -R(x,b) | R(x,k) | R(g(k),g(m)). ** KEPT: 282 (20,44) -R(x,g(k)) | R(x,g(m)) | R(b,k). ** KEPT: 283 (20,43) -R(x,k) | R(x,m) | R(g(b),g(k)). ** KEPT: 284 (20,43) -R(x,g(b)) | R(x,g(k)) | R(k,m). ** KEPT: 285 (20,42) -R(x,m) | R(x,k) | R(g(k),g(b)). ** KEPT: 286 (20,42) -R(x,g(k)) | R(x,g(b)) | R(m,k). ** KEPT: 287 (20,41) -R(x,k) | R(x,b) | R(g(m),g(k)). ** KEPT: 288 (20,41) -R(x,g(m)) | R(x,g(k)) | R(k,b). ** KEPT: 289 (20,40) -R(x,k) | R(x,b) | R(g(k),g(m)). ** KEPT: 290 (20,40) -R(x,g(k)) | R(x,g(m)) | R(k,b). ** KEPT: 291 (20,39) -R(x,k) | R(x,m) | R(g(k),g(b)). ** KEPT: 292 (20,39) -R(x,g(k)) | R(x,g(b)) | R(k,m). ** KEPT: 293 (20,38) -R(x,m) | R(x,k) | R(f(b),f(k)). ** KEPT: 294 (20,38) -R(x,f(b)) | R(x,f(k)) | R(m,k). ** KEPT: 295 (20,37) -R(x,b) | R(x,k) | R(f(m),f(k)). ** KEPT: 296 (20,37) -R(x,f(m)) | R(x,f(k)) | R(b,k). ** KEPT: 297 (20,36) -R(x,f(y)) | R(x,f(z)) | -R(z,y). ** KEPT: 298 (20,34) -R(x,b) | R(x,k) | R(f(k),f(m)). ** KEPT: 299 (20,34) -R(x,f(k)) | R(x,f(m)) | R(b,k). ** KEPT: 300 (20,33) -R(x,k) | R(x,m) | R(f(b),f(k)). ** KEPT: 301 (20,33) -R(x,f(b)) | R(x,f(k)) | R(k,m). ** KEPT: 302 (20,32) -R(x,m) | R(x,k) | R(f(k),f(b)). ** KEPT: 303 (20,32) -R(x,f(k)) | R(x,f(b)) | R(m,k). ** KEPT: 304 (20,31) -R(x,k) | R(x,b) | R(f(m),f(k)). ** KEPT: 305 (20,31) -R(x,f(m)) | R(x,f(k)) | R(k,b). ** KEPT: 306 (20,30) -R(x,k) | R(x,b) | R(f(k),f(m)). ** KEPT: 307 (20,30) -R(x,f(k)) | R(x,f(m)) | R(k,b). ** KEPT: 308 (20,29) -R(x,k) | R(x,m) | R(f(k),f(b)). ** KEPT: 309 (20,29) -R(x,f(k)) | R(x,f(b)) | R(k,m). ** KEPT: 310 (20,28) -R(x,k) | R(x,b) | R(k,m). ** KEPT: 311 (20,28) -R(x,k) | R(x,m) | R(k,b). ** KEPT: 312 (20,26) -R(x,m) | R(x,k) | R(k,b). ** KEPT: 313 (20,26) -R(x,k) | R(x,b) | R(m,k). ** KEPT: 314 (20,25) -R(x,b) | R(x,k) | R(k,m). ** KEPT: 315 (20,25) -R(x,k) | R(x,m) | R(b,k). ** KEPT: 316 (20,24) -R(x,g(y)) | R(x,g(z)) | -R(y,z). ** KEPT: 317 (20,23) -R(x,f(y)) | R(x,f(z)) | -R(y,z). ** KEPT: 318 (20,19) -R(x,y) | R(x,z) | -R(z,y). ** KEPT: 319 (20,16) -R(x,y) | R(x,k) | -R(y,b) | P(y,k). ** KEPT: 320 (20,15) -R(x,y) | R(x,k) | -R(y,m) | P(y,k). ** KEPT: 321 (20,4) -R(x,y) | R(x,k) | R(y,j) | -P(y,j). ** KEPT: 322 (20,4) -R(x,y) | R(x,j) | R(y,k) | -P(y,j). ** KEPT: 323 (20,3) -R(x,y) | R(x,j) | -R(y,k) | P(y,j). ** KEPT: 324 (20,2) -R(x,m) | R(x,k) | R(b,k). ** KEPT: 325 (20,2) -R(x,b) | R(x,k) | R(m,k). ** KEPT: 326 (20,47) -R(x,y) | -R(y,z) | R(g(z),g(x)). ** KEPT: 327 (20,36) -R(x,y) | -R(y,z) | R(f(z),f(x)). ** KEPT: 328 (20,27) -R(b,x) | -R(x,m). ** KEPT: 329 (20,24) -R(x,y) | -R(y,z) | R(g(x),g(z)). ** KEPT: 330 (20,23) -R(x,y) | -R(y,z) | R(f(x),f(z)). ** KEPT: 331 (20,19) -R(x,y) | -R(y,z) | R(z,x). ** KEPT: 332 (20,16) -R(x,y) | -R(y,b) | R(x,k) | P(x,k). ** KEPT: 333 (20,15) -R(x,y) | -R(y,m) | R(x,k) | P(x,k). ** KEPT: 334 (20,3) -R(x,y) | -R(y,k) | R(x,j) | P(x,j). ** KEPT: 335 (20,1) -R(m,x) | -R(x,b). ** KEPT: 336 (247) -R(g(x),x) | R(g(g(x)),x). ** KEPT: 337 (248) -R(f(x),x) | R(f(f(x)),x). ** KEPT: 338 (253) -R(k,j) | R(x,j) | -P(x,j). ** KEPT: 339 (254) -R(j,k) | R(x,k) | -P(x,j). ** KEPT: 340 (316) -R(x,g(x)) | R(x,g(g(x))). ** KEPT: 341 (317) -R(x,f(x)) | R(x,f(f(x))). new given clause: 328 (20,27) -R(b,x) | -R(x,m). ** KEPT: 342 (328,174) -R(k,m) | P(b,k). ** KEPT: 343 (328,20) -R(x,m) | -R(b,y) | -R(y,x). ** KEPT: 344 (328,19) -R(x,m) | -R(x,b). ** KEPT: 345 (328,4) -R(k,m) | R(b,j) | -P(b,j). ** KEPT: 346 (328,4) -R(j,m) | R(b,k) | -P(b,j). ** KEPT: 347 (328,3) -R(j,m) | -R(b,k) | P(b,j). ** KEPT: 348 (328,157) -R(b,k) | P(m,k). ** KEPT: 349 (328,19) -R(b,x) | -R(m,x). new given clause: 335 (20,1) -R(m,x) | -R(x,b). ** KEPT: 350 (335,152) -R(k,b) | P(m,k). ** KEPT: 351 (335,20) -R(x,b) | -R(m,y) | -R(y,x). ** KEPT: 352 (335,4) -R(k,b) | R(m,j) | -P(m,j). ** KEPT: 353 (335,4) -R(j,b) | R(m,k) | -P(m,j). ** KEPT: 354 (335,3) -R(j,b) | -R(m,k) | P(m,j). ** KEPT: 355 (335,179) -R(m,k) | P(b,k). new given clause: 342 (328,174) -R(k,m) | P(b,k). ** KEPT: 356 (342,157) P(b,k) | P(m,k). ** KEPT: 357 (342,20) P(b,k) | -R(k,x) | -R(x,m). new given clause: 344 (328,19) -R(x,m) | -R(x,b). ** KEPT: 358 (344,20) -R(x,b) | -R(x,y) | -R(y,m). ** KEPT: 359 (344,20) -R(x,m) | -R(x,y) | -R(y,b). new given clause: 348 (328,157) -R(b,k) | P(m,k). ** KEPT: 360 (348,20) P(m,k) | -R(b,x) | -R(x,k). ** KEPT: 361 (348,4) P(m,k) | R(b,j) | -P(b,j). new given clause: 349 (328,19) -R(b,x) | -R(m,x). ** KEPT: 362 (349,20) -R(m,x) | -R(b,y) | -R(y,x). ** KEPT: 363 (349,4) -R(m,k) | R(b,j) | -P(b,j). ** KEPT: 364 (349,4) -R(m,j) | R(b,k) | -P(b,j). ** KEPT: 365 (349,3) -R(m,j) | -R(b,k) | P(b,j). ** KEPT: 366 (349,20) -R(b,x) | -R(m,y) | -R(y,x). ** KEPT: 367 (349,4) -R(b,k) | R(m,j) | -P(m,j). ** KEPT: 368 (349,4) -R(b,j) | R(m,k) | -P(m,j). ** KEPT: 369 (349,3) -R(b,j) | -R(m,k) | P(m,j). new given clause: 350 (335,152) -R(k,b) | P(m,k). ** KEPT: 370 (350,20) P(m,k) | -R(k,x) | -R(x,b). new given clause: 355 (335,179) -R(m,k) | P(b,k). ** KEPT: 371 (355,20) P(b,k) | -R(m,x) | -R(x,k). ** KEPT: 372 (355,4) P(b,k) | R(m,j) | -P(m,j). new given clause: 356 (342,157) P(b,k) | P(m,k). new given clause: 21 -R(x,y) | -P(x,z) | P(y,z). ** KEPT: 373 (21,179) -P(k,x) | P(b,x) | P(b,k). ** KEPT: 374 (21,178) -P(f(b),x) | P(f(k),x) | P(b,k). ** KEPT: 375 (21,177) -P(g(b),x) | P(g(k),x) | P(b,k). ** KEPT: 376 (21,176) -P(f(k),x) | P(f(b),x) | P(b,k). ** KEPT: 377 (21,175) -P(g(k),x) | P(g(b),x) | P(b,k). ** KEPT: 378 (21,174) -P(b,x) | P(k,x) | P(b,k). ** KEPT: 379 (21,157) -P(k,x) | P(m,x) | P(m,k). ** KEPT: 380 (21,156) -P(f(m),x) | P(f(k),x) | P(m,k). ** KEPT: 381 (21,155) -P(g(m),x) | P(g(k),x) | P(m,k). ** KEPT: 382 (21,154) -P(f(k),x) | P(f(m),x) | P(m,k). ** KEPT: 383 (21,153) -P(g(k),x) | P(g(m),x) | P(m,k). ** KEPT: 384 (21,152) -P(m,x) | P(k,x) | P(m,k). ** KEPT: 385 (21,126) -P(j,x) | P(k,x) | P(k,j). ** KEPT: 386 (21,125) -P(f(k),x) | P(f(j),x) | P(k,j). ** KEPT: 387 (21,124) -P(g(k),x) | P(g(j),x) | P(k,j). ** KEPT: 388 (21,123) -P(f(j),x) | P(f(k),x) | P(k,j). ** KEPT: 389 (21,122) -P(g(j),x) | P(g(k),x) | P(k,j). ** KEPT: 390 (21,119) -P(k,x) | P(j,x) | P(k,j). ** KEPT: 391 (21,49) -P(m,x) | P(k,x) | R(g(b),g(k)). ** KEPT: 392 (21,49) -P(g(b),x) | P(g(k),x) | R(m,k). ** KEPT: 393 (21,48) -P(b,x) | P(k,x) | R(g(m),g(k)). ** KEPT: 394 (21,48) -P(g(m),x) | P(g(k),x) | R(b,k). ** KEPT: 395 (21,47) -P(g(x),y) | P(g(z),y) | -R(z,x). ** KEPT: 396 (21,44) -P(b,x) | P(k,x) | R(g(k),g(m)). ** KEPT: 397 (21,44) -P(g(k),x) | P(g(m),x) | R(b,k). ** KEPT: 398 (21,43) -P(k,x) | P(m,x) | R(g(b),g(k)). ** KEPT: 399 (21,43) -P(g(b),x) | P(g(k),x) | R(k,m). ** KEPT: 400 (21,42) -P(m,x) | P(k,x) | R(g(k),g(b)). ** KEPT: 401 (21,42) -P(g(k),x) | P(g(b),x) | R(m,k). ** KEPT: 402 (21,41) -P(k,x) | P(b,x) | R(g(m),g(k)). ** KEPT: 403 (21,41) -P(g(m),x) | P(g(k),x) | R(k,b). ** KEPT: 404 (21,40) -P(k,x) | P(b,x) | R(g(k),g(m)). ** KEPT: 405 (21,40) -P(g(k),x) | P(g(m),x) | R(k,b). ** KEPT: 406 (21,39) -P(k,x) | P(m,x) | R(g(k),g(b)). ** KEPT: 407 (21,39) -P(g(k),x) | P(g(b),x) | R(k,m). ** KEPT: 408 (21,38) -P(m,x) | P(k,x) | R(f(b),f(k)). ** KEPT: 409 (21,38) -P(f(b),x) | P(f(k),x) | R(m,k). ** KEPT: 410 (21,37) -P(b,x) | P(k,x) | R(f(m),f(k)). ** KEPT: 411 (21,37) -P(f(m),x) | P(f(k),x) | R(b,k). ** KEPT: 412 (21,36) -P(f(x),y) | P(f(z),y) | -R(z,x). ** KEPT: 413 (21,34) -P(b,x) | P(k,x) | R(f(k),f(m)). ** KEPT: 414 (21,34) -P(f(k),x) | P(f(m),x) | R(b,k). ** KEPT: 415 (21,33) -P(k,x) | P(m,x) | R(f(b),f(k)). ** KEPT: 416 (21,33) -P(f(b),x) | P(f(k),x) | R(k,m). ** KEPT: 417 (21,32) -P(m,x) | P(k,x) | R(f(k),f(b)). ** KEPT: 418 (21,32) -P(f(k),x) | P(f(b),x) | R(m,k). ** KEPT: 419 (21,31) -P(k,x) | P(b,x) | R(f(m),f(k)). ** KEPT: 420 (21,31) -P(f(m),x) | P(f(k),x) | R(k,b). ** KEPT: 421 (21,30) -P(k,x) | P(b,x) | R(f(k),f(m)). ** KEPT: 422 (21,30) -P(f(k),x) | P(f(m),x) | R(k,b). ** KEPT: 423 (21,29) -P(k,x) | P(m,x) | R(f(k),f(b)). ** KEPT: 424 (21,29) -P(f(k),x) | P(f(b),x) | R(k,m). ** KEPT: 425 (21,28) -P(k,x) | P(b,x) | R(k,m). ** KEPT: 426 (21,28) -P(k,x) | P(m,x) | R(k,b). ** KEPT: 427 (21,26) -P(m,x) | P(k,x) | R(k,b). ** KEPT: 428 (21,26) -P(k,x) | P(b,x) | R(m,k). ** KEPT: 429 (21,25) -P(b,x) | P(k,x) | R(k,m). ** KEPT: 430 (21,25) -P(k,x) | P(m,x) | R(b,k). ** KEPT: 431 (21,24) -P(g(x),y) | P(g(z),y) | -R(x,z). ** KEPT: 432 (21,23) -P(f(x),y) | P(f(z),y) | -R(x,z). ** KEPT: 433 (21,20) -P(x,y) | P(z,y) | -R(x,u) | -R(u,z). ** KEPT: 434 (21,19) -P(x,y) | P(z,y) | -R(z,x). ** KEPT: 435 (21,16) -P(x,y) | P(k,y) | -R(x,b) | P(x,k). ** KEPT: 436 (21,15) -P(x,y) | P(k,y) | -R(x,m) | P(x,k). ** KEPT: 437 (21,4) -P(x,y) | P(k,y) | R(x,j) | -P(x,j). ** KEPT: 438 (21,4) -P(x,y) | P(j,y) | R(x,k) | -P(x,j). ** KEPT: 439 (21,3) -P(x,y) | P(j,y) | -R(x,k) | P(x,j). ** KEPT: 440 (21,2) -P(m,x) | P(k,x) | R(b,k). ** KEPT: 441 (21,2) -P(b,x) | P(k,x) | R(m,k). ** KEPT: 442 (21,356) -R(m,x) | P(x,k) | P(b,k). ** KEPT: 443 (21,356) -R(b,x) | P(x,k) | P(m,k). ** KEPT: 444 (21,355) -R(b,x) | P(x,k) | -R(m,k). ** KEPT: 445 (21,350) -R(m,x) | P(x,k) | -R(k,b). ** KEPT: 446 (21,348) -R(m,x) | P(x,k) | -R(b,k). ** KEPT: 447 (21,342) -R(b,x) | P(x,k) | -R(k,m). ** KEPT: 448 (21,179) -R(b,x) | P(x,k) | R(k,b). ** KEPT: 449 (21,178) -R(b,x) | P(x,k) | R(f(b),f(k)). ** KEPT: 450 (21,177) -R(b,x) | P(x,k) | R(g(b),g(k)). ** KEPT: 451 (21,176) -R(b,x) | P(x,k) | R(f(k),f(b)). ** KEPT: 452 (21,175) -R(b,x) | P(x,k) | R(g(k),g(b)). ** KEPT: 453 (21,174) -R(b,x) | P(x,k) | R(b,k). ** KEPT: 454 (21,157) -R(m,x) | P(x,k) | R(k,m). ** KEPT: 455 (21,156) -R(m,x) | P(x,k) | R(f(m),f(k)). ** KEPT: 456 (21,155) -R(m,x) | P(x,k) | R(g(m),g(k)). ** KEPT: 457 (21,154) -R(m,x) | P(x,k) | R(f(k),f(m)). ** KEPT: 458 (21,153) -R(m,x) | P(x,k) | R(g(k),g(m)). ** KEPT: 459 (21,152) -R(m,x) | P(x,k) | R(m,k). ** KEPT: 460 (21,126) -R(k,x) | P(x,j) | R(j,k). ** KEPT: 461 (21,125) -R(k,x) | P(x,j) | R(f(k),f(j)). ** KEPT: 462 (21,124) -R(k,x) | P(x,j) | R(g(k),g(j)). ** KEPT: 463 (21,123) -R(k,x) | P(x,j) | R(f(j),f(k)). ** KEPT: 464 (21,122) -R(k,x) | P(x,j) | R(g(j),g(k)). ** KEPT: 465 (21,119) -R(k,x) | P(x,j) | R(k,j). ** KEPT: 466 (21,16) -R(x,y) | P(y,k) | R(x,k) | -R(x,b). ** KEPT: 467 (21,15) -R(x,y) | P(y,k) | R(x,k) | -R(x,m). ** KEPT: 468 (21,3) -R(x,y) | P(y,j) | R(x,j) | -R(x,k). ** KEPT: 469 (21,4) -R(x,y) | -P(x,j) | R(y,j) | R(y,k). ** KEPT: 470 (373) -P(k,k) | P(b,k). ** KEPT: 471 (379) -P(k,k) | P(m,k). ** KEPT: 472 (385) -P(j,j) | P(k,j). ** KEPT: 473 (437) -P(x,j) | P(k,j) | R(x,j). ** KEPT: 474 (438) -P(x,j) | P(j,j) | R(x,k). new given clause: 470 (373) -P(k,k) | P(b,k). ** KEPT: 475 (470,21) P(b,k) | -R(x,k) | -P(x,k). ** KEPT: 476 (470,21) -P(k,k) | -R(b,x) | P(x,k). new given clause: 471 (379) -P(k,k) | P(m,k). ** KEPT: 477 (471,21) P(m,k) | -R(x,k) | -P(x,k). ** KEPT: 478 (471,21) -P(k,k) | -R(m,x) | P(x,k). new given clause: 472 (385) -P(j,j) | P(k,j). ** KEPT: 479 (472,21) P(k,j) | -R(x,j) | -P(x,j). ** KEPT: 480 (472,21) -P(j,j) | -R(k,x) | P(x,j). new given clause: 22 -R(x,y) | -P(z,x) | P(z,y). ** KEPT: 481 (22,179) -P(x,k) | P(x,b) | P(b,k). ** KEPT: 482 (22,178) -P(x,f(b)) | P(x,f(k)) | P(b,k). ** KEPT: 483 (22,177) -P(x,g(b)) | P(x,g(k)) | P(b,k). ** KEPT: 484 (22,176) -P(x,f(k)) | P(x,f(b)) | P(b,k). ** KEPT: 485 (22,175) -P(x,g(k)) | P(x,g(b)) | P(b,k). ** KEPT: 486 (22,174) -P(x,b) | P(x,k) | P(b,k). ** KEPT: 487 (22,157) -P(x,k) | P(x,m) | P(m,k). ** KEPT: 488 (22,156) -P(x,f(m)) | P(x,f(k)) | P(m,k). ** KEPT: 489 (22,155) -P(x,g(m)) | P(x,g(k)) | P(m,k). ** KEPT: 490 (22,154) -P(x,f(k)) | P(x,f(m)) | P(m,k). ** KEPT: 491 (22,153) -P(x,g(k)) | P(x,g(m)) | P(m,k). ** KEPT: 492 (22,152) -P(x,m) | P(x,k) | P(m,k). ** KEPT: 493 (22,126) -P(x,j) | P(x,k) | P(k,j). ** KEPT: 494 (22,125) -P(x,f(k)) | P(x,f(j)) | P(k,j). ** KEPT: 495 (22,124) -P(x,g(k)) | P(x,g(j)) | P(k,j). ** KEPT: 496 (22,123) -P(x,f(j)) | P(x,f(k)) | P(k,j). ** KEPT: 497 (22,122) -P(x,g(j)) | P(x,g(k)) | P(k,j). ** KEPT: 498 (22,119) -P(x,k) | P(x,j) | P(k,j). ** KEPT: 499 (22,49) -P(x,m) | P(x,k) | R(g(b),g(k)). ** KEPT: 500 (22,49) -P(x,g(b)) | P(x,g(k)) | R(m,k). ** KEPT: 501 (22,48) -P(x,b) | P(x,k) | R(g(m),g(k)). ** KEPT: 502 (22,48) -P(x,g(m)) | P(x,g(k)) | R(b,k). ** KEPT: 503 (22,47) -P(x,g(y)) | P(x,g(z)) | -R(z,y). ** KEPT: 504 (22,44) -P(x,b) | P(x,k) | R(g(k),g(m)). ** KEPT: 505 (22,44) -P(x,g(k)) | P(x,g(m)) | R(b,k). ** KEPT: 506 (22,43) -P(x,k) | P(x,m) | R(g(b),g(k)). ** KEPT: 507 (22,43) -P(x,g(b)) | P(x,g(k)) | R(k,m). ** KEPT: 508 (22,42) -P(x,m) | P(x,k) | R(g(k),g(b)). ** KEPT: 509 (22,42) -P(x,g(k)) | P(x,g(b)) | R(m,k). ** KEPT: 510 (22,41) -P(x,k) | P(x,b) | R(g(m),g(k)). ** KEPT: 511 (22,41) -P(x,g(m)) | P(x,g(k)) | R(k,b). ** KEPT: 512 (22,40) -P(x,k) | P(x,b) | R(g(k),g(m)). ** KEPT: 513 (22,40) -P(x,g(k)) | P(x,g(m)) | R(k,b). ** KEPT: 514 (22,39) -P(x,k) | P(x,m) | R(g(k),g(b)). ** KEPT: 515 (22,39) -P(x,g(k)) | P(x,g(b)) | R(k,m). ** KEPT: 516 (22,38) -P(x,m) | P(x,k) | R(f(b),f(k)). ** KEPT: 517 (22,38) -P(x,f(b)) | P(x,f(k)) | R(m,k). ** KEPT: 518 (22,37) -P(x,b) | P(x,k) | R(f(m),f(k)). ** KEPT: 519 (22,37) -P(x,f(m)) | P(x,f(k)) | R(b,k). ** KEPT: 520 (22,36) -P(x,f(y)) | P(x,f(z)) | -R(z,y). ** KEPT: 521 (22,34) -P(x,b) | P(x,k) | R(f(k),f(m)). ** KEPT: 522 (22,34) -P(x,f(k)) | P(x,f(m)) | R(b,k). ** KEPT: 523 (22,33) -P(x,k) | P(x,m) | R(f(b),f(k)). ** KEPT: 524 (22,33) -P(x,f(b)) | P(x,f(k)) | R(k,m). ** KEPT: 525 (22,32) -P(x,m) | P(x,k) | R(f(k),f(b)). ** KEPT: 526 (22,32) -P(x,f(k)) | P(x,f(b)) | R(m,k). ** KEPT: 527 (22,31) -P(x,k) | P(x,b) | R(f(m),f(k)). ** KEPT: 528 (22,31) -P(x,f(m)) | P(x,f(k)) | R(k,b). ** KEPT: 529 (22,30) -P(x,k) | P(x,b) | R(f(k),f(m)). ** KEPT: 530 (22,30) -P(x,f(k)) | P(x,f(m)) | R(k,b). ** KEPT: 531 (22,29) -P(x,k) | P(x,m) | R(f(k),f(b)). ** KEPT: 532 (22,29) -P(x,f(k)) | P(x,f(b)) | R(k,m). ** KEPT: 533 (22,28) -P(x,k) | P(x,b) | R(k,m). ** KEPT: 534 (22,28) -P(x,k) | P(x,m) | R(k,b). ** KEPT: 535 (22,26) -P(x,m) | P(x,k) | R(k,b). ** KEPT: 536 (22,26) -P(x,k) | P(x,b) | R(m,k). ** KEPT: 537 (22,25) -P(x,b) | P(x,k) | R(k,m). ** KEPT: 538 (22,25) -P(x,k) | P(x,m) | R(b,k). ** KEPT: 539 (22,24) -P(x,g(y)) | P(x,g(z)) | -R(y,z). ** KEPT: 540 (22,23) -P(x,f(y)) | P(x,f(z)) | -R(y,z). ** KEPT: 541 (22,20) -P(x,y) | P(x,z) | -R(y,u) | -R(u,z). ** KEPT: 542 (22,19) -P(x,y) | P(x,z) | -R(z,y). ** KEPT: 543 (22,16) -P(x,y) | P(x,k) | -R(y,b) | P(y,k). ** KEPT: 544 (22,15) -P(x,y) | P(x,k) | -R(y,m) | P(y,k). ** KEPT: 545 (22,4) -P(x,y) | P(x,k) | R(y,j) | -P(y,j). ** KEPT: 546 (22,4) -P(x,y) | P(x,j) | R(y,k) | -P(y,j). ** KEPT: 547 (22,3) -P(x,y) | P(x,j) | -R(y,k) | P(y,j). ** KEPT: 548 (22,2) -P(x,m) | P(x,k) | R(b,k). ** KEPT: 549 (22,2) -P(x,b) | P(x,k) | R(m,k). ** KEPT: 550 (22,472) -R(j,x) | P(k,x) | -P(j,j). ** KEPT: 551 (22,471) -R(k,x) | P(m,x) | -P(k,k). ** KEPT: 552 (22,470) -R(k,x) | P(b,x) | -P(k,k). ** KEPT: 553 (22,356) -R(k,x) | P(m,x) | P(b,k). ** KEPT: 554 (22,356) -R(k,x) | P(b,x) | P(m,k). ** KEPT: 555 (22,355) -R(k,x) | P(b,x) | -R(m,k). ** KEPT: 556 (22,350) -R(k,x) | P(m,x) | -R(k,b). ** KEPT: 557 (22,348) -R(k,x) | P(m,x) | -R(b,k). ** KEPT: 558 (22,342) -R(k,x) | P(b,x) | -R(k,m). ** KEPT: 559 (22,179) -R(k,x) | P(b,x) | R(k,b). ** KEPT: 560 (22,178) -R(k,x) | P(b,x) | R(f(b),f(k)). ** KEPT: 561 (22,177) -R(k,x) | P(b,x) | R(g(b),g(k)). ** KEPT: 562 (22,176) -R(k,x) | P(b,x) | R(f(k),f(b)). ** KEPT: 563 (22,175) -R(k,x) | P(b,x) | R(g(k),g(b)). ** KEPT: 564 (22,174) -R(k,x) | P(b,x) | R(b,k). ** KEPT: 565 (22,157) -R(k,x) | P(m,x) | R(k,m). ** KEPT: 566 (22,156) -R(k,x) | P(m,x) | R(f(m),f(k)). ** KEPT: 567 (22,155) -R(k,x) | P(m,x) | R(g(m),g(k)). ** KEPT: 568 (22,154) -R(k,x) | P(m,x) | R(f(k),f(m)). ** KEPT: 569 (22,153) -R(k,x) | P(m,x) | R(g(k),g(m)). ** KEPT: 570 (22,152) -R(k,x) | P(m,x) | R(m,k). ** KEPT: 571 (22,126) -R(j,x) | P(k,x) | R(j,k). ** KEPT: 572 (22,125) -R(j,x) | P(k,x) | R(f(k),f(j)). ** KEPT: 573 (22,124) -R(j,x) | P(k,x) | R(g(k),g(j)). ** KEPT: 574 (22,123) -R(j,x) | P(k,x) | R(f(j),f(k)). ** KEPT: 575 (22,122) -R(j,x) | P(k,x) | R(g(j),g(k)). ** KEPT: 576 (22,119) -R(j,x) | P(k,x) | R(k,j). ** KEPT: 577 (22,21) -R(x,y) | P(z,y) | -R(u,z) | -P(u,x). ** KEPT: 578 (22,16) -R(k,x) | P(y,x) | R(y,k) | -R(y,b). ** KEPT: 579 (22,15) -R(k,x) | P(y,x) | R(y,k) | -R(y,m). ** KEPT: 580 (22,3) -R(j,x) | P(y,x) | R(y,j) | -R(y,k). ** KEPT: 581 (22,472) -R(x,j) | -P(j,x) | P(k,j). ** KEPT: 582 (22,471) -R(x,k) | -P(k,x) | P(m,k). ** KEPT: 583 (22,470) -R(x,k) | -P(k,x) | P(b,k). ** KEPT: 584 (22,4) -R(x,j) | -P(y,x) | R(y,j) | R(y,k). ** KEPT: 585 (486) -P(b,b) | P(b,k). ** KEPT: 586 (492) -P(m,m) | P(m,k). ** KEPT: 587 (498) -P(k,k) | P(k,j). ** KEPT: 588 (543) -P(x,x) | P(x,k) | -R(x,b). ** KEPT: 589 (544) -P(x,x) | P(x,k) | -R(x,m). ** KEPT: 590 (547) -P(x,x) | P(x,j) | -R(x,k). ** KEPT: 591 (556) -R(k,b) | P(m,b). ** KEPT: 592 (558) -R(k,m) | P(b,m). ** KEPT: 593 (577) -R(x,y) | P(y,y) | -P(x,x). new given clause: 585 (486) -P(b,b) | P(b,k). ** KEPT: 594 (585,22) P(b,k) | -R(x,b) | -P(b,x). ** KEPT: 595 (585,21) P(b,k) | -R(x,b) | -P(x,b). ** KEPT: 596 (585,22) -P(b,b) | -R(k,x) | P(b,x). ** KEPT: 597 (585,21) -P(b,b) | -R(b,x) | P(x,k). new given clause: 586 (492) -P(m,m) | P(m,k). ** KEPT: 598 (586,22) P(m,k) | -R(x,m) | -P(m,x). ** KEPT: 599 (586,21) P(m,k) | -R(x,m) | -P(x,m). ** KEPT: 600 (586,22) -P(m,m) | -R(k,x) | P(m,x). ** KEPT: 601 (586,21) -P(m,m) | -R(m,x) | P(x,k). new given clause: 587 (498) -P(k,k) | P(k,j). ** KEPT: 602 (587,22) P(k,j) | -R(x,k) | -P(k,x). ** KEPT: 603 (587,21) P(k,j) | -R(x,k) | -P(x,k). ** KEPT: 604 (587,22) -P(k,k) | -R(j,x) | P(k,x). ** KEPT: 605 (587,21) -P(k,k) | -R(k,x) | P(x,j). new given clause: 591 (556) -R(k,b) | P(m,b). ** KEPT: 606 (591,179) P(m,b) | P(b,k). ** KEPT: 607 (591,41) P(m,b) | R(g(m),g(k)). ** KEPT: 608 (591,40) P(m,b) | R(g(k),g(m)). ** KEPT: 609 (591,31) P(m,b) | R(f(m),f(k)). ** KEPT: 610 (591,30) P(m,b) | R(f(k),f(m)). ** KEPT: 611 (591,28) P(m,b) | R(k,m). ** KEPT: 612 (591,26) P(m,b) | R(m,k). ** KEPT: 613 (591,20) P(m,b) | -R(k,x) | -R(x,b). ** KEPT: 614 (591,19) P(m,b) | -R(b,k). ** KEPT: 615 (591,22) -R(k,b) | -R(b,x) | P(m,x). ** KEPT: 616 (591,21) -R(k,b) | -R(m,x) | P(x,b). new given clause: 592 (558) -R(k,m) | P(b,m). ** KEPT: 617 (592,157) P(b,m) | P(m,k). ** KEPT: 618 (592,43) P(b,m) | R(g(b),g(k)). ** KEPT: 619 (592,39) P(b,m) | R(g(k),g(b)). ** KEPT: 620 (592,33) P(b,m) | R(f(b),f(k)). ** KEPT: 621 (592,29) P(b,m) | R(f(k),f(b)). ** KEPT: 622 (592,28) P(b,m) | R(k,b). ** KEPT: 623 (592,25) P(b,m) | R(b,k). ** KEPT: 624 (592,20) P(b,m) | -R(k,x) | -R(x,m). ** KEPT: 625 (592,19) P(b,m) | -R(m,k). ** KEPT: 626 (592,22) -R(k,m) | -R(m,x) | P(b,x). ** KEPT: 627 (592,21) -R(k,m) | -R(b,x) | P(x,m). new given clause: 606 (591,179) P(m,b) | P(b,k). ** KEPT: 628 (606,22) P(b,k) | -R(b,x) | P(m,x). ** KEPT: 629 (606,21) P(b,k) | -R(m,x) | P(x,b). ** KEPT: 630 (606,22) P(m,b) | -R(k,x) | P(b,x). ** KEPT: 631 (606,21) P(m,b) | -R(b,x) | P(x,k). new given clause: 611 (591,28) P(m,b) | R(k,m). ** KEPT: 632 (611,22) R(k,m) | -R(b,x) | P(m,x). ** KEPT: 633 (611,21) R(k,m) | -R(m,x) | P(x,b). ** KEPT: 634 (611,592) P(m,b) | P(b,m). ** KEPT: 635 (611,22) P(m,b) | -P(x,k) | P(x,m). ** KEPT: 636 (611,21) P(m,b) | -P(k,x) | P(m,x). ** KEPT: 637 (611,20) P(m,b) | -R(x,k) | R(x,m). ** KEPT: 638 (611,20) P(m,b) | -R(m,x) | R(k,x). ** KEPT: 639 (636) P(m,b) | -P(k,b). new given clause: 612 (591,26) P(m,b) | R(m,k). ** KEPT: 640 (612,22) R(m,k) | -R(b,x) | P(m,x). ** KEPT: 641 (612,21) R(m,k) | -R(m,x) | P(x,b). ** KEPT: 642 (612,22) P(m,b) | -P(x,m) | P(x,k). ** KEPT: 643 (612,21) P(m,b) | -P(m,x) | P(k,x). ** KEPT: 644 (612,20) P(m,b) | -R(x,m) | R(x,k). ** KEPT: 645 (612,20) P(m,b) | -R(k,x) | R(m,x). ** KEPT: 646 (612,3) P(m,b) | R(m,j) | P(m,j). new given clause: 614 (591,19) P(m,b) | -R(b,k). ** KEPT: 647 (614,22) -R(b,k) | -R(b,x) | P(m,x). ** KEPT: 648 (614,21) -R(b,k) | -R(m,x) | P(x,b). ** KEPT: 649 (614,20) P(m,b) | -R(b,x) | -R(x,k). ** KEPT: 650 (614,4) P(m,b) | R(b,j) | -P(b,j). new given clause: 617 (592,157) P(b,m) | P(m,k). ** KEPT: 651 (617,22) P(m,k) | -R(m,x) | P(b,x). ** KEPT: 652 (617,21) P(m,k) | -R(b,x) | P(x,m). ** KEPT: 653 (617,22) P(b,m) | -R(k,x) | P(m,x). ** KEPT: 654 (617,21) P(b,m) | -R(m,x) | P(x,k). new given clause: 622 (592,28) P(b,m) | R(k,b). ** KEPT: 655 (622,22) R(k,b) | -R(m,x) | P(b,x). ** KEPT: 656 (622,21) R(k,b) | -R(b,x) | P(x,m). ** KEPT: 657 (622,22) P(b,m) | -P(x,k) | P(x,b). ** KEPT: 658 (622,21) P(b,m) | -P(k,x) | P(b,x). ** KEPT: 659 (622,20) P(b,m) | -R(x,k) | R(x,b). ** KEPT: 660 (622,20) P(b,m) | -R(b,x) | R(k,x). ** KEPT: 661 (658) P(b,m) | -P(k,m). new given clause: 623 (592,25) P(b,m) | R(b,k). ** KEPT: 662 (623,22) R(b,k) | -R(m,x) | P(b,x). ** KEPT: 663 (623,21) R(b,k) | -R(b,x) | P(x,m). ** KEPT: 664 (623,22) P(b,m) | -P(x,b) | P(x,k). ** KEPT: 665 (623,21) P(b,m) | -P(b,x) | P(k,x). ** KEPT: 666 (623,20) P(b,m) | -R(x,b) | R(x,k). ** KEPT: 667 (623,20) P(b,m) | -R(k,x) | R(b,x). ** KEPT: 668 (623,3) P(b,m) | R(b,j) | P(b,j). new given clause: 625 (592,19) P(b,m) | -R(m,k). ** KEPT: 669 (625,22) -R(m,k) | -R(m,x) | P(b,x). ** KEPT: 670 (625,21) -R(m,k) | -R(b,x) | P(x,m). ** KEPT: 671 (625,20) P(b,m) | -R(m,x) | -R(x,k). ** KEPT: 672 (625,4) P(b,m) | R(m,j) | -P(m,j). new given clause: 634 (611,592) P(m,b) | P(b,m). ** KEPT: 673 (634,22) P(b,m) | -R(b,x) | P(m,x). ** KEPT: 674 (634,21) P(b,m) | -R(m,x) | P(x,b). ** KEPT: 675 (634,22) P(m,b) | -R(m,x) | P(b,x). ** KEPT: 676 (634,21) P(m,b) | -R(b,x) | P(x,m). new given clause: 639 (636) P(m,b) | -P(k,b). ** KEPT: 677 (639,22) -P(k,b) | -R(b,x) | P(m,x). ** KEPT: 678 (639,21) -P(k,b) | -R(m,x) | P(x,b). ** KEPT: 679 (639,22) P(m,b) | -R(x,b) | -P(k,x). ** KEPT: 680 (639,21) P(m,b) | -R(x,k) | -P(x,b). new given clause: 661 (658) P(b,m) | -P(k,m). ** KEPT: 681 (661,22) -P(k,m) | -R(m,x) | P(b,x). ** KEPT: 682 (661,21) -P(k,m) | -R(b,x) | P(x,m). ** KEPT: 683 (661,22) P(b,m) | -R(x,m) | -P(k,x). ** KEPT: 684 (661,21) P(b,m) | -R(x,k) | -P(x,m). new given clause: 607 (591,41) P(m,b) | R(g(m),g(k)). ** KEPT: 685 (607,22) R(g(m),g(k)) | -R(b,x) | P(m,x). ** KEPT: 686 (607,21) R(g(m),g(k)) | -R(m,x) | P(x,b). ** KEPT: 687 (607,47) P(m,b) | R(g(g(k)),g(g(m))). ** KEPT: 688 (607,36) P(m,b) | R(f(g(k)),f(g(m))). ** KEPT: 689 (607,24) P(m,b) | R(g(g(m)),g(g(k))). ** KEPT: 690 (607,23) P(m,b) | R(f(g(m)),f(g(k))). ** KEPT: 691 (607,22) P(m,b) | -P(x,g(m)) | P(x,g(k)). ** KEPT: 692 (607,21) P(m,b) | -P(g(m),x) | P(g(k),x). ** KEPT: 693 (607,20) P(m,b) | -R(x,g(m)) | R(x,g(k)). ** KEPT: 694 (607,20) P(m,b) | -R(g(k),x) | R(g(m),x). new given clause: 608 (591,40) P(m,b) | R(g(k),g(m)). ** KEPT: 695 (608,22) R(g(k),g(m)) | -R(b,x) | P(m,x). ** KEPT: 696 (608,21) R(g(k),g(m)) | -R(m,x) | P(x,b). ** KEPT: 697 (608,22) P(m,b) | -P(x,g(k)) | P(x,g(m)). ** KEPT: 698 (608,21) P(m,b) | -P(g(k),x) | P(g(m),x). ** KEPT: 699 (608,20) P(m,b) | -R(x,g(k)) | R(x,g(m)). ** KEPT: 700 (608,20) P(m,b) | -R(g(m),x) | R(g(k),x). new given clause: 609 (591,31) P(m,b) | R(f(m),f(k)). ** KEPT: 701 (609,22) R(f(m),f(k)) | -R(b,x) | P(m,x). ** KEPT: 702 (609,21) R(f(m),f(k)) | -R(m,x) | P(x,b). ** KEPT: 703 (609,47) P(m,b) | R(g(f(k)),g(f(m))). ** KEPT: 704 (609,36) P(m,b) | R(f(f(k)),f(f(m))). ** KEPT: 705 (609,24) P(m,b) | R(g(f(m)),g(f(k))). ** KEPT: 706 (609,23) P(m,b) | R(f(f(m)),f(f(k))). ** KEPT: 707 (609,22) P(m,b) | -P(x,f(m)) | P(x,f(k)). ** KEPT: 708 (609,21) P(m,b) | -P(f(m),x) | P(f(k),x). ** KEPT: 709 (609,20) P(m,b) | -R(x,f(m)) | R(x,f(k)). ** KEPT: 710 (609,20) P(m,b) | -R(f(k),x) | R(f(m),x). new given clause: 610 (591,30) P(m,b) | R(f(k),f(m)). ** KEPT: 711 (610,22) R(f(k),f(m)) | -R(b,x) | P(m,x). ** KEPT: 712 (610,21) R(f(k),f(m)) | -R(m,x) | P(x,b). ** KEPT: 713 (610,22) P(m,b) | -P(x,f(k)) | P(x,f(m)). ** KEPT: 714 (610,21) P(m,b) | -P(f(k),x) | P(f(m),x). ** KEPT: 715 (610,20) P(m,b) | -R(x,f(k)) | R(x,f(m)). ** KEPT: 716 (610,20) P(m,b) | -R(f(m),x) | R(f(k),x). new given clause: 618 (592,43) P(b,m) | R(g(b),g(k)). ** KEPT: 717 (618,22) R(g(b),g(k)) | -R(m,x) | P(b,x). ** KEPT: 718 (618,21) R(g(b),g(k)) | -R(b,x) | P(x,m). ** KEPT: 719 (618,47) P(b,m) | R(g(g(k)),g(g(b))). ** KEPT: 720 (618,36) P(b,m) | R(f(g(k)),f(g(b))). ** KEPT: 721 (618,24) P(b,m) | R(g(g(b)),g(g(k))). ** KEPT: 722 (618,23) P(b,m) | R(f(g(b)),f(g(k))). ** KEPT: 723 (618,22) P(b,m) | -P(x,g(b)) | P(x,g(k)). ** KEPT: 724 (618,21) P(b,m) | -P(g(b),x) | P(g(k),x). ** KEPT: 725 (618,20) P(b,m) | -R(x,g(b)) | R(x,g(k)). ** KEPT: 726 (618,20) P(b,m) | -R(g(k),x) | R(g(b),x). new given clause: 619 (592,39) P(b,m) | R(g(k),g(b)). ** KEPT: 727 (619,22) R(g(k),g(b)) | -R(m,x) | P(b,x). ** KEPT: 728 (619,21) R(g(k),g(b)) | -R(b,x) | P(x,m). ** KEPT: 729 (619,22) P(b,m) | -P(x,g(k)) | P(x,g(b)). ** KEPT: 730 (619,21) P(b,m) | -P(g(k),x) | P(g(b),x). ** KEPT: 731 (619,20) P(b,m) | -R(x,g(k)) | R(x,g(b)). ** KEPT: 732 (619,20) P(b,m) | -R(g(b),x) | R(g(k),x). new given clause: 620 (592,33) P(b,m) | R(f(b),f(k)). ** KEPT: 733 (620,22) R(f(b),f(k)) | -R(m,x) | P(b,x). ** KEPT: 734 (620,21) R(f(b),f(k)) | -R(b,x) | P(x,m). ** KEPT: 735 (620,47) P(b,m) | R(g(f(k)),g(f(b))). ** KEPT: 736 (620,36) P(b,m) | R(f(f(k)),f(f(b))). ** KEPT: 737 (620,24) P(b,m) | R(g(f(b)),g(f(k))). ** KEPT: 738 (620,23) P(b,m) | R(f(f(b)),f(f(k))). ** KEPT: 739 (620,22) P(b,m) | -P(x,f(b)) | P(x,f(k)). ** KEPT: 740 (620,21) P(b,m) | -P(f(b),x) | P(f(k),x). ** KEPT: 741 (620,20) P(b,m) | -R(x,f(b)) | R(x,f(k)). ** KEPT: 742 (620,20) P(b,m) | -R(f(k),x) | R(f(b),x). new given clause: 621 (592,29) P(b,m) | R(f(k),f(b)). ** KEPT: 743 (621,22) R(f(k),f(b)) | -R(m,x) | P(b,x). ** KEPT: 744 (621,21) R(f(k),f(b)) | -R(b,x) | P(x,m). ** KEPT: 745 (621,22) P(b,m) | -P(x,f(k)) | P(x,f(b)). ** KEPT: 746 (621,21) P(b,m) | -P(f(k),x) | P(f(b),x). ** KEPT: 747 (621,20) P(b,m) | -R(x,f(k)) | R(x,f(b)). ** KEPT: 748 (621,20) P(b,m) | -R(f(b),x) | R(f(k),x). new given clause: 107 (3,19) -R(x,k) | P(x,j) | R(j,x). ** KEPT: 749 (107,623) P(b,j) | R(j,b) | P(b,m). ** KEPT: 750 (107,612) P(m,j) | R(j,m) | P(m,b). ** KEPT: 751 (107,174) P(b,j) | R(j,b) | P(b,k). ** KEPT: 752 (107,152) P(m,j) | R(j,m) | P(m,k). ** KEPT: 753 (107,49) P(m,j) | R(j,m) | R(g(b),g(k)). ** KEPT: 754 (107,48) P(b,j) | R(j,b) | R(g(m),g(k)). ** KEPT: 755 (107,44) P(b,j) | R(j,b) | R(g(k),g(m)). ** KEPT: 756 (107,42) P(m,j) | R(j,m) | R(g(k),g(b)). ** KEPT: 757 (107,38) P(m,j) | R(j,m) | R(f(b),f(k)). ** KEPT: 758 (107,37) P(b,j) | R(j,b) | R(f(m),f(k)). ** KEPT: 759 (107,34) P(b,j) | R(j,b) | R(f(k),f(m)). ** KEPT: 760 (107,32) P(m,j) | R(j,m) | R(f(k),f(b)). ** KEPT: 761 (107,26) P(m,j) | R(j,m) | R(k,b). ** KEPT: 762 (107,25) P(b,j) | R(j,b) | R(k,m). ** KEPT: 763 (107,20) P(x,j) | R(j,x) | -R(x,y) | -R(y,k). ** KEPT: 764 (107,19) P(x,j) | R(j,x) | -R(k,x). ** KEPT: 765 (107,16) P(x,j) | R(j,x) | -R(x,b) | P(x,k). ** KEPT: 766 (107,15) P(x,j) | R(j,x) | -R(x,m) | P(x,k). ** KEPT: 767 (107,2) P(m,j) | R(j,m) | R(b,k). ** KEPT: 768 (107,2) P(b,j) | R(j,b) | R(m,k). ** KEPT: 769 (107,22) -R(x,k) | R(j,x) | -R(j,y) | P(x,y). ** KEPT: 770 (107,21) -R(x,k) | R(j,x) | -R(x,y) | P(y,j). ** KEPT: 771 (107,22) -R(x,k) | P(x,j) | -P(y,j) | P(y,x). ** KEPT: 772 (107,21) -R(x,k) | P(x,j) | -P(j,y) | P(x,y). ** KEPT: 773 (107,20) -R(x,k) | P(x,j) | -R(y,j) | R(y,x). ** KEPT: 774 (107,20) -R(x,k) | P(x,j) | -R(x,y) | R(j,y). ** KEPT: 775 (770) -R(x,k) | R(j,x) | P(k,j). ** KEPT: 776 (772) -R(x,k) | P(x,j) | -P(j,j). ** KEPT: 777 (774) -R(x,k) | P(x,j) | R(j,k). new given clause: 116 (3,26) R(m,j) | P(m,j) | R(k,b). ** KEPT: 778 (116,349) P(m,j) | R(k,b) | -R(b,j). ** KEPT: 779 (116,335) P(m,j) | R(k,b) | -R(j,b). ** KEPT: 780 (116,47) P(m,j) | R(k,b) | R(g(j),g(m)). ** KEPT: 781 (116,36) P(m,j) | R(k,b) | R(f(j),f(m)). ** KEPT: 782 (116,24) P(m,j) | R(k,b) | R(g(m),g(j)). ** KEPT: 783 (116,23) P(m,j) | R(k,b) | R(f(m),f(j)). ** KEPT: 784 (116,22) P(m,j) | R(k,b) | -P(x,m) | P(x,j). ** KEPT: 785 (116,21) P(m,j) | R(k,b) | -P(m,x) | P(j,x). ** KEPT: 786 (116,20) P(m,j) | R(k,b) | -R(x,m) | R(x,j). ** KEPT: 787 (116,20) P(m,j) | R(k,b) | -R(j,x) | R(m,x). ** KEPT: 788 (116,22) R(m,j) | R(k,b) | -R(j,x) | P(m,x). ** KEPT: 789 (116,21) R(m,j) | R(k,b) | -R(m,x) | P(x,j). ** KEPT: 790 (116,22) R(m,j) | P(m,j) | -P(x,k) | P(x,b). ** KEPT: 791 (116,21) R(m,j) | P(m,j) | -P(k,x) | P(b,x). ** KEPT: 792 (116,20) R(m,j) | P(m,j) | -R(x,k) | R(x,b). ** KEPT: 793 (116,20) R(m,j) | P(m,j) | -R(b,x) | R(k,x). ** KEPT: 794 (784) P(m,j) | R(k,b) | -P(m,m). new given clause: 117 (3,25) R(b,j) | P(b,j) | R(k,m). ** KEPT: 795 (117,349) P(b,j) | R(k,m) | -R(m,j). ** KEPT: 796 (117,328) P(b,j) | R(k,m) | -R(j,m). ** KEPT: 797 (117,47) P(b,j) | R(k,m) | R(g(j),g(b)). ** KEPT: 798 (117,36) P(b,j) | R(k,m) | R(f(j),f(b)). ** KEPT: 799 (117,24) P(b,j) | R(k,m) | R(g(b),g(j)). ** KEPT: 800 (117,23) P(b,j) | R(k,m) | R(f(b),f(j)). ** KEPT: 801 (117,22) P(b,j) | R(k,m) | -P(x,b) | P(x,j). ** KEPT: 802 (117,21) P(b,j) | R(k,m) | -P(b,x) | P(j,x). ** KEPT: 803 (117,20) P(b,j) | R(k,m) | -R(x,b) | R(x,j). ** KEPT: 804 (117,20) P(b,j) | R(k,m) | -R(j,x) | R(b,x). ** KEPT: 805 (117,22) R(b,j) | R(k,m) | -R(j,x) | P(b,x). ** KEPT: 806 (117,21) R(b,j) | R(k,m) | -R(b,x) | P(x,j). ** KEPT: 807 (117,22) R(b,j) | P(b,j) | -P(x,k) | P(x,m). ** KEPT: 808 (117,21) R(b,j) | P(b,j) | -P(k,x) | P(m,x). ** KEPT: 809 (117,20) R(b,j) | P(b,j) | -R(x,k) | R(x,m). ** KEPT: 810 (117,20) R(b,j) | P(b,j) | -R(m,x) | R(k,x). ** KEPT: 811 (801) P(b,j) | R(k,m) | -P(b,b). new given clause: 118 (3,19) R(x,j) | P(x,j) | -R(k,x). ** KEPT: 812 (118,349) P(m,j) | -R(k,m) | -R(b,j). ** KEPT: 813 (118,349) P(b,j) | -R(k,b) | -R(m,j). ** KEPT: 814 (118,335) P(m,j) | -R(k,m) | -R(j,b). ** KEPT: 815 (118,328) P(b,j) | -R(k,b) | -R(j,m). ** KEPT: 816 (118,47) P(x,j) | -R(k,x) | R(g(j),g(x)). ** KEPT: 817 (118,36) P(x,j) | -R(k,x) | R(f(j),f(x)). ** KEPT: 818 (118,24) P(x,j) | -R(k,x) | R(g(x),g(j)). ** KEPT: 819 (118,23) P(x,j) | -R(k,x) | R(f(x),f(j)). ** KEPT: 820 (118,22) P(x,j) | -R(k,x) | -P(y,x) | P(y,j). ** KEPT: 821 (118,21) P(x,j) | -R(k,x) | -P(x,y) | P(j,y). ** KEPT: 822 (118,20) P(x,j) | -R(k,x) | -R(y,x) | R(y,j). ** KEPT: 823 (118,20) P(x,j) | -R(k,x) | -R(j,y) | R(x,y). ** KEPT: 824 (118,22) R(x,j) | -R(k,x) | -R(j,y) | P(x,y). ** KEPT: 825 (118,21) R(x,j) | -R(k,x) | -R(x,y) | P(y,j). ** KEPT: 826 (118,117) R(m,j) | P(m,j) | R(b,j) | P(b,j). ** KEPT: 827 (118,20) R(x,j) | P(x,j) | -R(k,y) | -R(y,x). ** KEPT: 828 (820) P(x,j) | -R(k,x) | -P(x,x). new given clause: 120 (3,2) R(m,j) | P(m,j) | R(b,k). ** KEPT: 829 (120,349) P(m,j) | R(b,k) | -R(b,j). ** KEPT: 830 (120,335) P(m,j) | R(b,k) | -R(j,b). ** KEPT: 831 (120,47) P(m,j) | R(b,k) | R(g(j),g(m)). ** KEPT: 832 (120,36) P(m,j) | R(b,k) | R(f(j),f(m)). ** KEPT: 833 (120,24) P(m,j) | R(b,k) | R(g(m),g(j)). ** KEPT: 834 (120,23) P(m,j) | R(b,k) | R(f(m),f(j)). ** KEPT: 835 (120,22) P(m,j) | R(b,k) | -P(x,m) | P(x,j). ** KEPT: 836 (120,21) P(m,j) | R(b,k) | -P(m,x) | P(j,x). ** KEPT: 837 (120,20) P(m,j) | R(b,k) | -R(x,m) | R(x,j). ** KEPT: 838 (120,20) P(m,j) | R(b,k) | -R(j,x) | R(m,x). ** KEPT: 839 (120,22) R(m,j) | R(b,k) | -R(j,x) | P(m,x). ** KEPT: 840 (120,21) R(m,j) | R(b,k) | -R(m,x) | P(x,j). ** KEPT: 841 (120,107) R(m,j) | P(m,j) | P(b,j) | R(j,b). ** KEPT: 842 (120,22) R(m,j) | P(m,j) | -P(x,b) | P(x,k). ** KEPT: 843 (120,21) R(m,j) | P(m,j) | -P(b,x) | P(k,x). ** KEPT: 844 (120,20) R(m,j) | P(m,j) | -R(x,b) | R(x,k). ** KEPT: 845 (120,20) R(m,j) | P(m,j) | -R(k,x) | R(b,x). ** KEPT: 846 (835) P(m,j) | R(b,k) | -P(m,m). new given clause: 121 (3,2) R(b,j) | P(b,j) | R(m,k). ** KEPT: 847 (121,349) P(b,j) | R(m,k) | -R(m,j). ** KEPT: 848 (121,328) P(b,j) | R(m,k) | -R(j,m). ** KEPT: 849 (121,47) P(b,j) | R(m,k) | R(g(j),g(b)). ** KEPT: 850 (121,36) P(b,j) | R(m,k) | R(f(j),f(b)). ** KEPT: 851 (121,24) P(b,j) | R(m,k) | R(g(b),g(j)). ** KEPT: 852 (121,23) P(b,j) | R(m,k) | R(f(b),f(j)). ** KEPT: 853 (121,22) P(b,j) | R(m,k) | -P(x,b) | P(x,j). ** KEPT: 854 (121,21) P(b,j) | R(m,k) | -P(b,x) | P(j,x). ** KEPT: 855 (121,20) P(b,j) | R(m,k) | -R(x,b) | R(x,j). ** KEPT: 856 (121,20) P(b,j) | R(m,k) | -R(j,x) | R(b,x). ** KEPT: 857 (121,22) R(b,j) | R(m,k) | -R(j,x) | P(b,x). ** KEPT: 858 (121,21) R(b,j) | R(m,k) | -R(b,x) | P(x,j). ** KEPT: 859 (121,107) R(b,j) | P(b,j) | P(m,j) | R(j,m). ** KEPT: 860 (121,22) R(b,j) | P(b,j) | -P(x,m) | P(x,k). ** KEPT: 861 (121,21) R(b,j) | P(b,j) | -P(m,x) | P(k,x). ** KEPT: 862 (121,20) R(b,j) | P(b,j) | -R(x,m) | R(x,k). ** KEPT: 863 (121,20) R(b,j) | P(b,j) | -R(k,x) | R(m,x). ** KEPT: 864 (853) P(b,j) | R(m,k) | -P(b,b). new given clause: 139 (4,19) R(x,k) | -P(x,j) | R(j,x). ** KEPT: 865 (139,625) -P(m,j) | R(j,m) | P(b,m). ** KEPT: 866 (139,614) -P(b,j) | R(j,b) | P(m,b). ** KEPT: 867 (139,355) -P(m,j) | R(j,m) | P(b,k). ** KEPT: 868 (139,349) -P(m,j) | R(j,m) | -R(b,k). ** KEPT: 869 (139,349) -P(b,j) | R(j,b) | -R(m,k). ** KEPT: 870 (139,348) -P(b,j) | R(j,b) | P(m,k). ** KEPT: 871 (139,335) -P(m,j) | R(j,m) | -R(k,b). ** KEPT: 872 (139,328) -P(b,j) | R(j,b) | -R(k,m). ** KEPT: 873 (139,47) -P(x,j) | R(j,x) | R(g(k),g(x)). ** KEPT: 874 (139,36) -P(x,j) | R(j,x) | R(f(k),f(x)). ** KEPT: 875 (139,24) -P(x,j) | R(j,x) | R(g(x),g(k)). ** KEPT: 876 (139,23) -P(x,j) | R(j,x) | R(f(x),f(k)). ** KEPT: 877 (139,22) -P(x,j) | R(j,x) | -P(y,x) | P(y,k). ** KEPT: 878 (139,21) -P(x,j) | R(j,x) | -P(x,y) | P(k,y). ** KEPT: 879 (139,20) -P(x,j) | R(j,x) | -R(y,x) | R(y,k). ** KEPT: 880 (139,20) -P(x,j) | R(j,x) | -R(k,y) | R(x,y). ** KEPT: 881 (139,19) -P(x,j) | R(j,x) | R(k,x). ** KEPT: 882 (139,22) R(x,k) | R(j,x) | -R(y,j) | -P(x,y). ** KEPT: 883 (139,21) R(x,k) | R(j,x) | -R(y,x) | -P(y,j). ** KEPT: 884 (139,22) R(x,k) | -P(x,j) | -P(y,j) | P(y,x). ** KEPT: 885 (139,21) R(x,k) | -P(x,j) | -P(j,y) | P(x,y). ** KEPT: 886 (139,20) R(x,k) | -P(x,j) | -R(y,j) | R(y,x). ** KEPT: 887 (139,20) R(x,k) | -P(x,j) | -R(x,y) | R(j,y). ** KEPT: 888 (139,16) R(b,k) | -P(b,j) | R(j,k) | P(j,k). ** KEPT: 889 (139,15) R(m,k) | -P(m,j) | R(j,k) | P(j,k). ** KEPT: 890 (878) -P(x,j) | R(j,x) | P(k,j). ** KEPT: 891 (884) R(x,k) | -P(x,j) | P(x,x). new given clause: 144 (4,19) R(x,j) | -P(x,j) | R(k,x). ** KEPT: 892 (144,349) -P(m,j) | R(k,m) | -R(b,j). ** KEPT: 893 (144,349) -P(b,j) | R(k,b) | -R(m,j). ** KEPT: 894 (144,335) -P(m,j) | R(k,m) | -R(j,b). ** KEPT: 895 (144,328) -P(b,j) | R(k,b) | -R(j,m). ** KEPT: 896 (144,47) -P(x,j) | R(k,x) | R(g(j),g(x)). ** KEPT: 897 (144,36) -P(x,j) | R(k,x) | R(f(j),f(x)). ** KEPT: 898 (144,24) -P(x,j) | R(k,x) | R(g(x),g(j)). ** KEPT: 899 (144,23) -P(x,j) | R(k,x) | R(f(x),f(j)). ** KEPT: 900 (144,22) -P(x,j) | R(k,x) | -P(y,x) | P(y,j). ** KEPT: 901 (144,21) -P(x,j) | R(k,x) | -P(x,y) | P(j,y). ** KEPT: 902 (144,20) -P(x,j) | R(k,x) | -R(y,x) | R(y,j). ** KEPT: 903 (144,20) -P(x,j) | R(k,x) | -R(j,y) | R(x,y). ** KEPT: 904 (144,22) R(x,j) | R(k,x) | -R(y,j) | -P(x,y). ** KEPT: 905 (144,21) R(x,j) | R(k,x) | -R(y,x) | -P(y,j). ** KEPT: 906 (144,22) R(x,j) | -P(x,j) | -P(y,k) | P(y,x). ** KEPT: 907 (144,21) R(x,j) | -P(x,j) | -P(k,y) | P(x,y). ** KEPT: 908 (144,20) R(x,j) | -P(x,j) | -R(y,k) | R(y,x). ** KEPT: 909 (144,20) R(x,j) | -P(x,j) | -R(x,y) | R(k,y). ** KEPT: 910 (901) -P(x,j) | R(k,x) | P(j,j). new given clause: 149 (15,19) -R(x,m) | P(x,k) | R(k,x). ** KEPT: 911 (149,139) P(j,k) | R(k,j) | R(m,k) | -P(m,j). ** KEPT: 912 (149,107) P(j,k) | R(k,j) | -R(m,k) | P(m,j). ** KEPT: 913 (149,20) P(x,k) | R(k,x) | -R(x,y) | -R(y,m). ** KEPT: 914 (149,19) P(x,k) | R(k,x) | -R(m,x). ** KEPT: 915 (149,22) -R(x,m) | R(k,x) | -R(k,y) | P(x,y). ** KEPT: 916 (149,21) -R(x,m) | R(k,x) | -R(x,y) | P(y,k). ** KEPT: 917 (149,22) -R(x,m) | P(x,k) | -P(y,k) | P(y,x). ** KEPT: 918 (149,21) -R(x,m) | P(x,k) | -P(k,y) | P(x,y). ** KEPT: 919 (149,20) -R(x,m) | P(x,k) | -R(y,k) | R(y,x). ** KEPT: 920 (149,20) -R(x,m) | P(x,k) | -R(x,y) | R(k,y). ** KEPT: 921 (916) -R(x,m) | R(k,x) | P(m,k). ** KEPT: 922 (918) -R(x,m) | P(x,k) | -P(k,k). ** KEPT: 923 (920) -R(x,m) | P(x,k) | R(k,m). new given clause: 151 (15,19) R(x,k) | P(x,k) | -R(m,x). ** KEPT: 924 (151,107) P(x,k) | -R(m,x) | P(x,j) | R(j,x). ** KEPT: 925 (151,47) P(x,k) | -R(m,x) | R(g(k),g(x)). ** KEPT: 926 (151,36) P(x,k) | -R(m,x) | R(f(k),f(x)). ** KEPT: 927 (151,24) P(x,k) | -R(m,x) | R(g(x),g(k)). ** KEPT: 928 (151,23) P(x,k) | -R(m,x) | R(f(x),f(k)). ** KEPT: 929 (151,22) P(x,k) | -R(m,x) | -P(y,x) | P(y,k). ** KEPT: 930 (151,21) P(x,k) | -R(m,x) | -P(x,y) | P(k,y). ** KEPT: 931 (151,20) P(x,k) | -R(m,x) | -R(y,x) | R(y,k). ** KEPT: 932 (151,20) P(x,k) | -R(m,x) | -R(k,y) | R(x,y). ** KEPT: 933 (151,3) P(x,k) | -R(m,x) | R(x,j) | P(x,j). ** KEPT: 934 (151,22) R(x,k) | -R(m,x) | -R(k,y) | P(x,y). ** KEPT: 935 (151,21) R(x,k) | -R(m,x) | -R(x,y) | P(y,k). ** KEPT: 936 (151,144) R(j,k) | P(j,k) | -P(m,j) | R(k,m). ** KEPT: 937 (151,120) R(j,k) | P(j,k) | P(m,j) | R(b,k). ** KEPT: 938 (151,116) R(j,k) | P(j,k) | P(m,j) | R(k,b). ** KEPT: 939 (151,20) R(x,k) | P(x,k) | -R(m,y) | -R(y,x). ** KEPT: 940 (929) P(x,k) | -R(m,x) | -P(x,x). new given clause: 158 (152,3) P(m,k) | R(m,j) | P(m,j). ** KEPT: 941 (158,22) R(m,j) | P(m,j) | -R(k,x) | P(m,x). ** KEPT: 942 (158,21) R(m,j) | P(m,j) | -R(m,x) | P(x,k). ** KEPT: 943 (158,349) P(m,k) | P(m,j) | -R(b,j). ** KEPT: 944 (158,335) P(m,k) | P(m,j) | -R(j,b). ** KEPT: 945 (158,151) P(m,k) | P(m,j) | R(j,k) | P(j,k). ** KEPT: 946 (158,47) P(m,k) | P(m,j) | R(g(j),g(m)). ** KEPT: 947 (158,36) P(m,k) | P(m,j) | R(f(j),f(m)). ** KEPT: 948 (158,24) P(m,k) | P(m,j) | R(g(m),g(j)). ** KEPT: 949 (158,23) P(m,k) | P(m,j) | R(f(m),f(j)). ** KEPT: 950 (158,22) P(m,k) | P(m,j) | -P(x,m) | P(x,j). ** KEPT: 951 (158,21) P(m,k) | P(m,j) | -P(m,x) | P(j,x). ** KEPT: 952 (158,20) P(m,k) | P(m,j) | -R(x,m) | R(x,j). ** KEPT: 953 (158,20) P(m,k) | P(m,j) | -R(j,x) | R(m,x). ** KEPT: 954 (158,22) P(m,k) | R(m,j) | -R(j,x) | P(m,x). ** KEPT: 955 (158,21) P(m,k) | R(m,j) | -R(m,x) | P(x,j). ** KEPT: 956 (941) R(m,j) | P(m,j) | -R(k,j). ** KEPT: 957 (954) P(m,k) | R(m,j) | -R(j,k). new given clause: 171 (16,19) -R(x,b) | P(x,k) | R(k,x). ** KEPT: 958 (171,139) P(j,k) | R(k,j) | R(b,k) | -P(b,j). ** KEPT: 959 (171,107) P(j,k) | R(k,j) | -R(b,k) | P(b,j). ** KEPT: 960 (171,20) P(x,k) | R(k,x) | -R(x,y) | -R(y,b). ** KEPT: 961 (171,19) P(x,k) | R(k,x) | -R(b,x). ** KEPT: 962 (171,22) -R(x,b) | R(k,x) | -R(k,y) | P(x,y). ** KEPT: 963 (171,21) -R(x,b) | R(k,x) | -R(x,y) | P(y,k). ** KEPT: 964 (171,22) -R(x,b) | P(x,k) | -P(y,k) | P(y,x). ** KEPT: 965 (171,21) -R(x,b) | P(x,k) | -P(k,y) | P(x,y). ** KEPT: 966 (171,20) -R(x,b) | P(x,k) | -R(y,k) | R(y,x). ** KEPT: 967 (171,20) -R(x,b) | P(x,k) | -R(x,y) | R(k,y). ** KEPT: 968 (963) -R(x,b) | R(k,x) | P(b,k). ** KEPT: 969 (965) -R(x,b) | P(x,k) | -P(k,k). ** KEPT: 970 (967) -R(x,b) | P(x,k) | R(k,b). new given clause: 173 (16,19) R(x,k) | P(x,k) | -R(b,x). ** KEPT: 971 (173,107) P(x,k) | -R(b,x) | P(x,j) | R(j,x). ** KEPT: 972 (173,47) P(x,k) | -R(b,x) | R(g(k),g(x)). ** KEPT: 973 (173,36) P(x,k) | -R(b,x) | R(f(k),f(x)). ** KEPT: 974 (173,24) P(x,k) | -R(b,x) | R(g(x),g(k)). ** KEPT: 975 (173,23) P(x,k) | -R(b,x) | R(f(x),f(k)). ** KEPT: 976 (173,22) P(x,k) | -R(b,x) | -P(y,x) | P(y,k). ** KEPT: 977 (173,21) P(x,k) | -R(b,x) | -P(x,y) | P(k,y). ** KEPT: 978 (173,20) P(x,k) | -R(b,x) | -R(y,x) | R(y,k). ** KEPT: 979 (173,20) P(x,k) | -R(b,x) | -R(k,y) | R(x,y). ** KEPT: 980 (173,3) P(x,k) | -R(b,x) | R(x,j) | P(x,j). ** KEPT: 981 (173,22) R(x,k) | -R(b,x) | -R(k,y) | P(x,y). ** KEPT: 982 (173,21) R(x,k) | -R(b,x) | -R(x,y) | P(y,k). ** KEPT: 983 (173,144) R(j,k) | P(j,k) | -P(b,j) | R(k,b). ** KEPT: 984 (173,121) R(j,k) | P(j,k) | P(b,j) | R(m,k). ** KEPT: 985 (173,117) R(j,k) | P(j,k) | P(b,j) | R(k,m). ** KEPT: 986 (173,20) R(x,k) | P(x,k) | -R(b,y) | -R(y,x). ** KEPT: 987 (976) P(x,k) | -R(b,x) | -P(x,x). new given clause: 180 (174,3) P(b,k) | R(b,j) | P(b,j). ** KEPT: 988 (180,22) R(b,j) | P(b,j) | -R(k,x) | P(b,x). ** KEPT: 989 (180,21) R(b,j) | P(b,j) | -R(b,x) | P(x,k). ** KEPT: 990 (180,349) P(b,k) | P(b,j) | -R(m,j). ** KEPT: 991 (180,328) P(b,k) | P(b,j) | -R(j,m). ** KEPT: 992 (180,173) P(b,k) | P(b,j) | R(j,k) | P(j,k). ** KEPT: 993 (180,47) P(b,k) | P(b,j) | R(g(j),g(b)). ** KEPT: 994 (180,36) P(b,k) | P(b,j) | R(f(j),f(b)). ** KEPT: 995 (180,24) P(b,k) | P(b,j) | R(g(b),g(j)). ** KEPT: 996 (180,23) P(b,k) | P(b,j) | R(f(b),f(j)). ** KEPT: 997 (180,22) P(b,k) | P(b,j) | -P(x,b) | P(x,j). ** KEPT: 998 (180,21) P(b,k) | P(b,j) | -P(b,x) | P(j,x). ** KEPT: 999 (180,20) P(b,k) | P(b,j) | -R(x,b) | R(x,j). ** KEPT: 1000 (180,20) P(b,k) | P(b,j) | -R(j,x) | R(b,x). ** KEPT: 1001 (180,22) P(b,k) | R(b,j) | -R(j,x) | P(b,x). ** KEPT: 1002 (180,21) P(b,k) | R(b,j) | -R(b,x) | P(x,j). ** KEPT: 1003 (988) R(b,j) | P(b,j) | -R(k,j). ** KEPT: 1004 (1001) P(b,k) | R(b,j) | -R(j,k). new given clause: 189 (20,179) -R(b,x) | R(k,x) | P(b,k). ** KEPT: 1005 (189,180) R(k,j) | P(b,k) | P(b,j). ** KEPT: 1006 (189,20) R(k,x) | P(b,k) | -R(b,y) | -R(y,x). ** KEPT: 1007 (189,118) -R(b,x) | P(b,k) | R(x,j) | P(x,j). ** KEPT: 1008 (189,47) -R(b,x) | P(b,k) | R(g(x),g(k)). ** KEPT: 1009 (189,36) -R(b,x) | P(b,k) | R(f(x),f(k)). ** KEPT: 1010 (189,24) -R(b,x) | P(b,k) | R(g(k),g(x)). ** KEPT: 1011 (189,23) -R(b,x) | P(b,k) | R(f(k),f(x)). ** KEPT: 1012 (189,22) -R(b,x) | P(b,k) | -P(y,k) | P(y,x). ** KEPT: 1013 (189,21) -R(b,x) | P(b,k) | -P(k,y) | P(x,y). ** KEPT: 1014 (189,20) -R(b,x) | P(b,k) | -R(y,k) | R(y,x). ** KEPT: 1015 (189,19) -R(b,x) | P(b,k) | R(x,k). ** KEPT: 1016 (189,22) -R(b,x) | R(k,x) | -R(k,y) | P(b,y). ** KEPT: 1017 (189,21) -R(b,x) | R(k,x) | -R(b,y) | P(y,k). new given clause: 194 (20,174) -R(k,x) | R(b,x) | P(b,k). ** KEPT: 1018 (194,149) R(b,x) | P(b,k) | -R(x,m) | P(x,k). ** KEPT: 1019 (194,144) R(b,x) | P(b,k) | R(x,j) | -P(x,j). ** KEPT: 1020 (194,119) R(b,j) | P(b,k) | P(k,j). ** KEPT: 1021 (194,20) R(b,x) | P(b,k) | -R(k,y) | -R(y,x). ** KEPT: 1022 (194,19) R(b,x) | P(b,k) | -R(x,k). ** KEPT: 1023 (194,349) -R(k,x) | P(b,k) | -R(m,x). ** KEPT: 1024 (194,47) -R(k,x) | P(b,k) | R(g(x),g(b)). ** KEPT: 1025 (194,36) -R(k,x) | P(b,k) | R(f(x),f(b)). ** KEPT: 1026 (194,24) -R(k,x) | P(b,k) | R(g(b),g(x)). ** KEPT: 1027 (194,23) -R(k,x) | P(b,k) | R(f(b),f(x)). ** KEPT: 1028 (194,22) -R(k,x) | P(b,k) | -P(y,b) | P(y,x). ** KEPT: 1029 (194,21) -R(k,x) | P(b,k) | -P(b,y) | P(x,y). ** KEPT: 1030 (194,20) -R(k,x) | P(b,k) | -R(y,b) | R(y,x). ** KEPT: 1031 (194,19) -R(k,x) | P(b,k) | R(x,b). ** KEPT: 1032 (194,22) -R(k,x) | R(b,x) | -R(k,y) | P(b,y). ** KEPT: 1033 (194,21) -R(k,x) | R(b,x) | -R(b,y) | P(y,k). 1022 back subsumes: 1004 (1001) P(b,k) | R(b,j) | -R(j,k). ** KEPT: 1034 (1032) -R(k,x) | R(b,x) | P(b,x). 1034 back subsumes: 1003 (988) R(b,j) | P(b,j) | -R(k,j). ------------ END OF SEARCH ------------ search stopped by max_kept option. --------------- options --------------- set(binary_res). set(demod_hist). set(for_sub). set(Unit_deletion). set(print_kept). set(factor). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(hyper_res). clear(UR_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 1000). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). ------------- memory usage ------------ 13 mallocs of 32700 bytes each (415.1+ K) type (bytes each) gets frees in use avail bytes sym_ent ( 64) 23 0 23 0 1.4 K term ( 16) 19190 16015 3175 6 49.7 K rel ( 20) 13538 7260 6278 0 122.6 K term_ptr ( 8) 14492 24 14468 12 113.1 K fpa_head ( 12) 104 0 104 0 1.2 K fpa_tree ( 28) 5817 5817 0 13 0.4 K context ( 260) 5128 5128 0 3 0.8 K trail ( 12) 51108 51108 0 4 0.0 K imd_tree ( 24) 0 0 0 0 0.0 K imd_pos ( 416) 0 0 0 0 0.0 K is_tree ( 12) 472 0 472 0 5.5 K is_pos (1216) 64645 64645 0 2 2.4 K fsub_pos ( 8) 7095 7095 0 1 0.0 K literal ( 16) 5646 2529 3117 0 48.7 K clause ( 28) 1973 939 1034 0 28.3 K list ( 60) 2 0 2 0 0.1 K clash_nd ( 32) 0 0 0 0 0.0 K clause_ptr ( 8) 1036 2 1034 1 8.1 K int_ptr ( 8) 3751 1777 1974 0 15.4 K -------------- statistics ------------- clauses input 24 clauses given 105 clauses generated 1948 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 62 clauses forward subsumed 876 (clauses subsumed by sos) 454 unit deletions 0 clauses kept 1010 empty clauses 0 factors generated 145 clauses back subsumed 2 clauses not processed 0 ----------- times (seconds) ----------- run time 211.57 input time 0.78 binary_res time 6.04 hyper_res time 0.00 UR_res time 0.00 para_into time 0.00 para_from time 0.00 pre_process time 161.13 demod time 0.00 weigh time 0.74 for_sub time 111.73 unit_del time 30.23 post_process time 49.01 back_sub time 40.19 conflict time 0.10 factor time 8.24 FPA build time 3.50 IS build time 1.69 print_cl time 7.56 cl integrate time 1.89 window time 0.00 SHAR_EOF if test -f 'exq3.desc' then echo shar: over-writing existing file "'exq3.desc'" fi cat << \SHAR_EOF > 'exq3.desc' problem-set/miscellany/wang/exq3.desc created : 07/24/86 revised : 07/14/88 Natural Language Description: THIS PROBLEM IS EXQ3, PROPOSED BY WANG TO TEST THEOREM PROVERS Note: Natural descriptions for these problems are not available. For more details, look into "Formalization & Automatic Theorem Proving", by Hao Wang. Versions: exq3.ver1.in: uses UR-resolution; all clauses are in the set of support. created : from McCharen, Overbeek, & Wos paper., 1976. verified for ITP : untested. translated for OTTER by : caw. verified for OTTER : 07/06/88. no proof found. exq3.ver2.in: uses binary resolution, factoring, and Unit deletion; all clauses are in the set of support. created : W.W. McCune verified for ITP : no proof. translated for OTTER by : caw. verified for OTTER : no proof in 1043 kept clauses. SHAR_EOF if test -f 'exq3.ver1.clauses' then echo shar: over-writing existing file "'exq3.ver1.clauses'" fi cat << \SHAR_EOF > 'exq3.ver1.clauses' % problem-set/miscellany/wang/exq3.ver1.clauses % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ3, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq3.ver1.in' then echo shar: over-writing existing file "'exq3.ver1.in'" fi cat << \SHAR_EOF > 'exq3.ver1.in' % problem-set/miscellany/wang/exq3.ver1.in % created : 07/24/86 % revised : 07/08/88 % description: % % THIS PROBLEM IS EXQ3, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(UR_res). list(sos). -R(m,b). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. SHAR_EOF if test -f 'exq3.ver1.out' then echo shar: over-writing existing file "'exq3.ver1.out'" fi cat << \SHAR_EOF > 'exq3.ver1.out' % problem-set/miscellany/wang/exq3.ver1.out % created : 07/06/88 % revised : 07/08/88 OTTER release 0.9, 19 May 1988 set(UR_res). list(sos). 1 -R(m,b). 2 R(y,j) | -R(y,k) | P(y,j). 3 R(y,j) | R(y,k) | -P(y,j). 4 R(y,m) | -P(y,m) | -R(f(y),m). 5 R(y,m) | -P(y,m) | -R(f(y),y). 6 R(y,m) | -P(y,m) | P(y,f(y)). 7 R(y,m) | -P(y,m) | P(f(y),y). 8 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 9 R(y,b) | P(y,b) | -R(g(y),b). 10 R(y,b) | P(y,b) | -R(g(y),y). 11 R(y,b) | P(y,b) | P(y,g(y)). 12 R(y,b) | P(y,b) | P(g(y),y). 13 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 14 R(y,k) | -R(y,m) | P(y,k). 15 R(y,k) | -R(y,b) | P(y,k). 16 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 17 R(x,x). 18 -R(x,y) | R(y,x). 19 -R(x,y) | -R(y,z) | R(x,z). 20 -R(x,y) | -P(x,z) | P(y,z). 21 -R(x,y) | -P(z,x) | P(z,y). 22 -R(x,y) | R(f(x),f(y)). 23 -R(x,y) | R(g(x),g(y)). end_of_list. new given clause: 1 -R(m,b). new given clause: 17 R(x,x). new given clause: 18 -R(x,y) | R(y,x). ** KEPT: 24 (18,1) -R(b,m). new given clause: 24 (18,1) -R(b,m). new given clause: 22 -R(x,y) | R(f(x),f(y)). new given clause: 23 -R(x,y) | R(g(x),g(y)). new given clause: 2 R(y,j) | -R(y,k) | P(y,j). new given clause: 3 R(y,j) | R(y,k) | -P(y,j). new given clause: 14 R(y,k) | -R(y,m) | P(y,k). new given clause: 15 R(y,k) | -R(y,b) | P(y,k). new given clause: 19 -R(x,y) | -R(y,z) | R(x,z). new given clause: 20 -R(x,y) | -P(x,z) | P(y,z). new given clause: 21 -R(x,y) | -P(z,x) | P(z,y). new given clause: 4 R(y,m) | -P(y,m) | -R(f(y),m). new given clause: 5 R(y,m) | -P(y,m) | -R(f(y),y). new given clause: 6 R(y,m) | -P(y,m) | P(y,f(y)). new given clause: 7 R(y,m) | -P(y,m) | P(f(y),y). new given clause: 9 R(y,b) | P(y,b) | -R(g(y),b). new given clause: 10 R(y,b) | P(y,b) | -R(g(y),y). new given clause: 11 R(y,b) | P(y,b) | P(y,g(y)). new given clause: 12 R(y,b) | P(y,b) | P(g(y),y). new given clause: 16 R(y,k) | R(y,m) | R(y,b) | -P(y,k). new given clause: 8 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). new given clause: 13 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). ------------ END OF SEARCH ------------ sos empty. --------------- options --------------- set(UR_res). set(demod_hist). set(for_sub). set(print_kept). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(binary_res). clear(hyper_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(Unit_deletion). clear(factor). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 0). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). -------------- statistics ------------- clauses input 23 clauses given 24 clauses generated 10 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 0 clauses forward subsumed 9 (clauses subsumed by sos) 0 unit deletions 0 clauses kept 1 empty clauses 0 factors generated 0 clauses back subsumed 0 clauses not processed 0 ----------- times (seconds) ----------- run time 0.69 input time 0.26 binary_res time 0.00 hyper_res time 0.00 UR_res time 0.21 para_into time 0.00 para_from time 0.00 pre_process time 0.02 demod time 0.00 weigh time 0.00 for_sub time 0.01 unit_del time 0.00 post_process time 0.01 back_sub time 0.00 conflict time 0.00 factor time 0.00 FPA build time 0.06 IS build time 0.02 print_cl time 0.11 cl integrate time 0.02 window time 0.00 SHAR_EOF if test -f 'exq3.ver2.clauses' then echo shar: over-writing existing file "'exq3.ver2.clauses'" fi cat << \SHAR_EOF > 'exq3.ver2.clauses' % problem-set/miscellany/wang/exq3.ver2.clauses % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ3, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). -R(m,b). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). SHAR_EOF if test -f 'exq3.ver2.in' then echo shar: over-writing existing file "'exq3.ver2.in'" fi cat << \SHAR_EOF > 'exq3.ver2.in' % problem-set/miscellany/wang/exq3.ver2.in % created : 07/24/86 % revised : 07/14/88 % description: % % THIS PROBLEM IS EXQ3, PROPOSED BY WANG TO TEST THEOREM PROVERS % representation: % % declare_constants([b,k,m,j]). % declare_functions(1,[f,g]). % declare_predicates(2,[R,P]). % declare_variables([x,y,z,v,v1,v2,v3]). set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(sos). -R(m,b). R(y,j) | -R(y,k) | P(y,j). R(y,j) | R(y,k) | -P(y,j). R(y,m) | -P(y,m) | -R(f(y),m). R(y,m) | -P(y,m) | -R(f(y),y). R(y,m) | -P(y,m) | P(y,f(y)). R(y,m) | -P(y,m) | P(f(y),y). R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). R(y,b) | P(y,b) | -R(g(y),b). R(y,b) | P(y,b) | -R(g(y),y). R(y,b) | P(y,b) | P(y,g(y)). R(y,b) | P(y,b) | P(g(y),y). R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). R(y,k) | -R(y,m) | P(y,k). R(y,k) | -R(y,b) | P(y,k). R(y,k) | R(y,m) | R(y,b) | -P(y,k). % Equality Axioms R(x,x). -R(x,y) | R(y,x). -R(x,y) | -R(y,z) | R(x,z). % Equality Substitution Axioms -R(x,y) | -P(x,z) | P(y,z). -R(x,y) | -P(z,x) | P(z,y). -R(x,y) | R(f(x),f(y)). -R(x,y) | R(g(x),g(y)). end_of_list. SHAR_EOF if test -f 'exq3.ver2.out' then echo shar: over-writing existing file "'exq3.ver2.out'" fi cat << \SHAR_EOF > 'exq3.ver2.out' % problem-set/miscellany/wang/exq3.ver2.out % created : 07/14/88 % revised : 07/14/88 OTTER version 0.9, 19 May 1988. set(binary_res). set(factor). set(Unit_deletion). assign(max_kept,1000). list(sos). 1 -R(m,b). 2 R(y,j) | -R(y,k) | P(y,j). 3 R(y,j) | R(y,k) | -P(y,j). 4 R(y,m) | -P(y,m) | -R(f(y),m). 5 R(y,m) | -P(y,m) | -R(f(y),y). 6 R(y,m) | -P(y,m) | P(y,f(y)). 7 R(y,m) | -P(y,m) | P(f(y),y). 8 R(y,m) | P(y,m) | R(v1,m) | R(v1,y) | -P(y,v1) | -P(v1,y). 9 R(y,b) | P(y,b) | -R(g(y),b). 10 R(y,b) | P(y,b) | -R(g(y),y). 11 R(y,b) | P(y,b) | P(y,g(y)). 12 R(y,b) | P(y,b) | P(g(y),y). 13 R(y,b) | -P(y,b) | R(v,b) | R(v,y) | -P(y,v) | -P(v,y). 14 R(y,k) | -R(y,m) | P(y,k). 15 R(y,k) | -R(y,b) | P(y,k). 16 R(y,k) | R(y,m) | R(y,b) | -P(y,k). 17 R(x,x). 18 -R(x,y) | R(y,x). 19 -R(x,y) | -R(y,z) | R(x,z). 20 -R(x,y) | -P(x,z) | P(y,z). 21 -R(x,y) | -P(z,x) | P(z,y). 22 -R(x,y) | R(f(x),f(y)). 23 -R(x,y) | R(g(x),g(y)). end_of_list. new given clause: 1 -R(m,b). new given clause: 17 R(x,x). new given clause: 18 -R(x,y) | R(y,x). ** KEPT: 24 (18,1) -R(b,m). new given clause: 24 (18,1) -R(b,m). new given clause: 22 -R(x,y) | R(f(x),f(y)). ** KEPT: 25 (22,22) R(f(f(x)),f(f(y))) | -R(x,y). ** KEPT: 26 (22,18) R(f(x),f(y)) | -R(y,x). new given clause: 23 -R(x,y) | R(g(x),g(y)). ** KEPT: 27 (23,23) R(g(g(x)),g(g(y))) | -R(x,y). ** KEPT: 28 (23,22) R(g(f(x)),g(f(y))) | -R(x,y). ** KEPT: 29 (23,18) R(g(x),g(y)) | -R(y,x). ** KEPT: 30 (23,22) -R(x,y) | R(f(g(x)),f(g(y))). new given clause: 26 (22,18) R(f(x),f(y)) | -R(y,x). ** KEPT: 31 (26,23) -R(x,y) | R(g(f(y)),g(f(x))). ** KEPT: 32 (26,22) -R(x,y) | R(f(f(y)),f(f(x))). ** KEPT: 33 (26,23) R(f(g(x)),f(g(y))) | -R(y,x). new given clause: 29 (23,18) R(g(x),g(y)) | -R(y,x). ** KEPT: 34 (29,23) -R(x,y) | R(g(g(y)),g(g(x))). new given clause: 2 R(y,j) | -R(y,k) | P(y,j). ** KEPT: 35 (2,29) -R(x,k) | P(x,j) | R(g(j),g(x)). ** KEPT: 36 (2,26) -R(x,k) | P(x,j) | R(f(j),f(x)). ** KEPT: 37 (2,23) -R(x,k) | P(x,j) | R(g(x),g(j)). ** KEPT: 38 (2,22) -R(x,k) | P(x,j) | R(f(x),f(j)). ** KEPT: 39 (2,18) -R(x,k) | P(x,j) | R(j,x). ** KEPT: 40 (2,18) R(x,j) | P(x,j) | -R(k,x). ** KEPT: 41 (2,17) R(k,j) | P(k,j). new given clause: 41 (2,17) R(k,j) | P(k,j). ** KEPT: 42 (41,29) P(k,j) | R(g(j),g(k)). ** KEPT: 43 (41,26) P(k,j) | R(f(j),f(k)). ** KEPT: 44 (41,23) P(k,j) | R(g(k),g(j)). ** KEPT: 45 (41,22) P(k,j) | R(f(k),f(j)). ** KEPT: 46 (41,18) P(k,j) | R(j,k). new given clause: 46 (41,18) P(k,j) | R(j,k). new given clause: 42 (41,29) P(k,j) | R(g(j),g(k)). ** KEPT: 47 (42,29) P(k,j) | R(g(g(k)),g(g(j))). ** KEPT: 48 (42,26) P(k,j) | R(f(g(k)),f(g(j))). ** KEPT: 49 (42,23) P(k,j) | R(g(g(j)),g(g(k))). ** KEPT: 50 (42,22) P(k,j) | R(f(g(j)),f(g(k))). new given clause: 43 (41,26) P(k,j) | R(f(j),f(k)). ** KEPT: 51 (43,29) P(k,j) | R(g(f(k)),g(f(j))). ** KEPT: 52 (43,26) P(k,j) | R(f(f(k)),f(f(j))). ** KEPT: 53 (43,23) P(k,j) | R(g(f(j)),g(f(k))). ** KEPT: 54 (43,22) P(k,j) | R(f(f(j)),f(f(k))). new given clause: 44 (41,23) P(k,j) | R(g(k),g(j)). new given clause: 45 (41,22) P(k,j) | R(f(k),f(j)). new given clause: 3 R(y,j) | R(y,k) | -P(y,j). ** KEPT: 55 (3,29) R(x,k) | -P(x,j) | R(g(j),g(x)). ** KEPT: 56 (3,26) R(x,k) | -P(x,j) | R(f(j),f(x)). ** KEPT: 57 (3,23) R(x,k) | -P(x,j) | R(g(x),g(j)). ** KEPT: 58 (3,22) R(x,k) | -P(x,j) | R(f(x),f(j)). ** KEPT: 59 (3,18) R(x,k) | -P(x,j) | R(j,x). ** KEPT: 60 (3,29) R(x,j) | -P(x,j) | R(g(k),g(x)). ** KEPT: 61 (3,26) R(x,j) | -P(x,j) | R(f(k),f(x)). ** KEPT: 62 (3,23) R(x,j) | -P(x,j) | R(g(x),g(k)). ** KEPT: 63 (3,22) R(x,j) | -P(x,j) | R(f(x),f(k)). ** KEPT: 64 (3,18) R(x,j) | -P(x,j) | R(k,x). new given clause: 14 R(y,k) | -R(y,m) | P(y,k). ** KEPT: 65 (14,29) -R(x,m) | P(x,k) | R(g(k),g(x)). ** KEPT: 66 (14,26) -R(x,m) | P(x,k) | R(f(k),f(x)). ** KEPT: 67 (14,23) -R(x,m) | P(x,k) | R(g(x),g(k)). ** KEPT: 68 (14,22) -R(x,m) | P(x,k) | R(f(x),f(k)). ** KEPT: 69 (14,18) -R(x,m) | P(x,k) | R(k,x). ** KEPT: 70 (14,2) -R(x,m) | P(x,k) | R(x,j) | P(x,j). ** KEPT: 71 (14,18) R(x,k) | P(x,k) | -R(m,x). ** KEPT: 72 (14,17) R(m,k) | P(m,k). new given clause: 72 (14,17) R(m,k) | P(m,k). ** KEPT: 73 (72,29) P(m,k) | R(g(k),g(m)). ** KEPT: 74 (72,26) P(m,k) | R(f(k),f(m)). ** KEPT: 75 (72,23) P(m,k) | R(g(m),g(k)). ** KEPT: 76 (72,22) P(m,k) | R(f(m),f(k)). ** KEPT: 77 (72,18) P(m,k) | R(k,m). ** KEPT: 78 (72,2) P(m,k) | R(m,j) | P(m,j). new given clause: 77 (72,18) P(m,k) | R(k,m). new given clause: 73 (72,29) P(m,k) | R(g(k),g(m)). ** KEPT: 79 (73,29) P(m,k) | R(g(g(m)),g(g(k))). ** KEPT: 80 (73,26) P(m,k) | R(f(g(m)),f(g(k))). ** KEPT: 81 (73,23) P(m,k) | R(g(g(k)),g(g(m))). ** KEPT: 82 (73,22) P(m,k) | R(f(g(k)),f(g(m))). new given clause: 74 (72,26) P(m,k) | R(f(k),f(m)). ** KEPT: 83 (74,29) P(m,k) | R(g(f(m)),g(f(k))). ** KEPT: 84 (74,26) P(m,k) | R(f(f(m)),f(f(k))). ** KEPT: 85 (74,23) P(m,k) | R(g(f(k)),g(f(m))). ** KEPT: 86 (74,22) P(m,k) | R(f(f(k)),f(f(m))). new given clause: 75 (72,23) P(m,k) | R(g(m),g(k)). new given clause: 76 (72,22) P(m,k) | R(f(m),f(k)). new given clause: 15 R(y,k) | -R(y,b) | P(y,k). ** KEPT: 87 (15,29) -R(x,b) | P(x,k) | R(g(k),g(x)). ** KEPT: 88 (15,26) -R(x,b) | P(x,k) | R(f(k),f(x)). ** KEPT: 89 (15,23) -R(x,b) | P(x,k) | R(g(x),g(k)). ** KEPT: 90 (15,22) -R(x,b) | P(x,k) | R(f(x),f(k)). ** KEPT: 91 (15,18) -R(x,b) | P(x,k) | R(k,x). ** KEPT: 92 (15,2) -R(x,b) | P(x,k) | R(x,j) | P(x,j). ** KEPT: 93 (15,18) R(x,k) | P(x,k) | -R(b,x). ** KEPT: 94 (15,17) R(b,k) | P(b,k). new given clause: 94 (15,17) R(b,k) | P(b,k). ** KEPT: 95 (94,29) P(b,k) | R(g(k),g(b)). ** KEPT: 96 (94,26) P(b,k) | R(f(k),f(b)). ** KEPT: 97 (94,23) P(b,k) | R(g(b),g(k)). ** KEPT: 98 (94,22) P(b,k) | R(f(b),f(k)). ** KEPT: 99 (94,18) P(b,k) | R(k,b). ** KEPT: 100 (94,2) P(b,k) | R(b,j) | P(b,j). new given clause: 99 (94,18) P(b,k) | R(k,b). new given clause: 95 (94,29) P(b,k) | R(g(k),g(b)). ** KEPT: 101 (95,29) P(b,k) | R(g(g(b)),g(g(k))). ** KEPT: 102 (95,26) P(b,k) | R(f(g(b)),f(g(k))). ** KEPT: 103 (95,23) P(b,k) | R(g(g(k)),g(g(b))). ** KEPT: 104 (95,22) P(b,k) | R(f(g(k)),f(g(b))). new given clause: 96 (94,26) P(b,k) | R(f(k),f(b)). ** KEPT: 105 (96,29) P(b,k) | R(g(f(b)),g(f(k))). ** KEPT: 106 (96,26) P(b,k) | R(f(f(b)),f(f(k))). ** KEPT: 107 (96,23) P(b,k) | R(g(f(k)),g(f(b))). ** KEPT: 108 (96,22) P(b,k) | R(f(f(k)),f(f(b))). new given clause: 97 (94,23) P(b,k) | R(g(b),g(k)). new given clause: 98 (94,22) P(b,k) | R(f(b),f(k)). new given clause: 19 -R(x,y) | -R(y,z) | R(x,z). ** KEPT: 109 (19,99) -R(b,x) | R(k,x) | P(b,k). ** KEPT: 110 (19,98) -R(f(k),x) | R(f(b),x) | P(b,k). ** KEPT: 111 (19,97) -R(g(k),x) | R(g(b),x) | P(b,k). ** KEPT: 112 (19,96) -R(f(b),x) | R(f(k),x) | P(b,k). ** KEPT: 113 (19,95) -R(g(b),x) | R(g(k),x) | P(b,k). ** KEPT: 114 (19,94) -R(k,x) | R(b,x) | P(b,k). ** KEPT: 115 (19,77) -R(m,x) | R(k,x) | P(m,k). ** KEPT: 116 (19,76) -R(f(k),x) | R(f(m),x) | P(m,k). ** KEPT: 117 (19,75) -R(g(k),x) | R(g(m),x) | P(m,k). ** KEPT: 118 (19,74) -R(f(m),x) | R(f(k),x) | P(m,k). ** KEPT: 119 (19,73) -R(g(m),x) | R(g(k),x) | P(m,k). ** KEPT: 120 (19,72) -R(k,x) | R(m,x) | P(m,k). ** KEPT: 121 (19,46) -R(k,x) | R(j,x) | P(k,j). ** KEPT: 122 (19,45) -R(f(j),x) | R(f(k),x) | P(k,j). ** KEPT: 123 (19,44) -R(g(j),x) | R(g(k),x) | P(k,j). ** KEPT: 124 (19,43) -R(f(k),x) | R(f(j),x) | P(k,j). ** KEPT: 125 (19,42) -R(g(k),x) | R(g(j),x) | P(k,j). ** KEPT: 126 (19,41) -R(j,x) | R(k,x) | P(k,j). ** KEPT: 127 (19,29) -R(g(x),y) | R(g(z),y) | -R(x,z). ** KEPT: 128 (19,26) -R(f(x),y) | R(f(z),y) | -R(x,z). ** KEPT: 129 (19,23) -R(g(x),y) | R(g(z),y) | -R(z,x). ** KEPT: 130 (19,22) -R(f(x),y) | R(f(z),y) | -R(z,x). ** KEPT: 131 (19,19) -R(x,y) | R(z,y) | -R(z,u) | -R(u,x). ** KEPT: 132 (19,18) -R(x,y) | R(z,y) | -R(x,z). ** KEPT: 133 (19,15) -R(k,x) | R(y,x) | -R(y,b) | P(y,k). ** KEPT: 134 (19,14) -R(k,x) | R(y,x) | -R(y,m) | P(y,k). ** KEPT: 135 (19,3) -R(k,x) | R(y,x) | R(y,j) | -P(y,j). ** KEPT: 136 (19,3) -R(j,x) | R(y,x) | R(y,k) | -P(y,j). ** KEPT: 137 (19,2) -R(j,x) | R(y,x) | -R(y,k) | P(y,j). ** KEPT: 138 (19,99) -R(x,k) | R(x,b) | P(b,k). ** KEPT: 139 (19,98) -R(x,f(b)) | R(x,f(k)) | P(b,k). ** KEPT: 140 (19,97) -R(x,g(b)) | R(x,g(k)) | P(b,k). ** KEPT: 141 (19,96) -R(x,f(k)) | R(x,f(b)) | P(b,k). ** KEPT: 142 (19,95) -R(x,g(k)) | R(x,g(b)) | P(b,k). ** KEPT: 143 (19,94) -R(x,b) | R(x,k) | P(b,k). ** KEPT: 144 (19,77) -R(x,k) | R(x,m) | P(m,k). ** KEPT: 145 (19,76) -R(x,f(m)) | R(x,f(k)) | P(m,k). ** KEPT: 146 (19,75) -R(x,g(m)) | R(x,g(k)) | P(m,k). ** KEPT: 147 (19,74) -R(x,f(k)) | R(x,f(m)) | P(m,k). ** KEPT: 148 (19,73) -R(x,g(k)) | R(x,g(m)) | P(m,k). ** KEPT: 149 (19,72) -R(x,m) | R(x,k) | P(m,k). ** KEPT: 150 (19,46) -R(x,j) | R(x,k) | P(k,j). ** KEPT: 151 (19,45) -R(x,f(k)) | R(x,f(j)) | P(k,j). ** KEPT: 152 (19,44) -R(x,g(k)) | R(x,g(j)) | P(k,j). ** KEPT: 153 (19,43) -R(x,f(j)) | R(x,f(k)) | P(k,j). ** KEPT: 154 (19,42) -R(x,g(j)) | R(x,g(k)) | P(k,j). ** KEPT: 155 (19,41) -R(x,k) | R(x,j) | P(k,j). ** KEPT: 156 (19,29) -R(x,g(y)) | R(x,g(z)) | -R(z,y). ** KEPT: 157 (19,26) -R(x,f(y)) | R(x,f(z)) | -R(z,y). ** KEPT: 158 (19,23) -R(x,g(y)) | R(x,g(z)) | -R(y,z). ** KEPT: 159 (19,22) -R(x,f(y)) | R(x,f(z)) | -R(y,z). ** KEPT: 160 (19,18) -R(x,y) | R(x,z) | -R(z,y). ** KEPT: 161 (19,15) -R(x,y) | R(x,k) | -R(y,b) | P(y,k). ** KEPT: 162 (19,14) -R(x,y) | R(x,k) | -R(y,m) | P(y,k). ** KEPT: 163 (19,3) -R(x,y) | R(x,k) | R(y,j) | -P(y,j). ** KEPT: 164 (19,3) -R(x,y) | R(x,j) | R(y,k) | -P(y,j). ** KEPT: 165 (19,2) -R(x,y) | R(x,j) | -R(y,k) | P(y,j). ** KEPT: 166 (19,29) -R(x,y) | -R(y,z) | R(g(z),g(x)). ** KEPT: 167 (19,26) -R(x,y) | -R(y,z) | R(f(z),f(x)). ** KEPT: 168 (19,24) -R(b,x) | -R(x,m). ** KEPT: 169 (19,23) -R(x,y) | -R(y,z) | R(g(x),g(z)). ** KEPT: 170 (19,22) -R(x,y) | -R(y,z) | R(f(x),f(z)). ** KEPT: 171 (19,18) -R(x,y) | -R(y,z) | R(z,x). ** KEPT: 172 (19,15) -R(x,y) | -R(y,b) | R(x,k) | P(x,k). ** KEPT: 173 (19,14) -R(x,y) | -R(y,m) | R(x,k) | P(x,k). ** KEPT: 174 (19,2) -R(x,y) | -R(y,k) | R(x,j) | P(x,j). ** KEPT: 175 (19,1) -R(m,x) | -R(x,b). ** KEPT: 176 (129) -R(g(x),x) | R(g(g(x)),x). ** KEPT: 177 (130) -R(f(x),x) | R(f(f(x)),x). ** KEPT: 178 (135) -R(k,j) | R(x,j) | -P(x,j). ** KEPT: 179 (136) -R(j,k) | R(x,k) | -P(x,j). ** KEPT: 180 (158) -R(x,g(x)) | R(x,g(g(x))). ** KEPT: 181 (159) -R(x,f(x)) | R(x,f(f(x))). new given clause: 168 (19,24) -R(b,x) | -R(x,m). ** KEPT: 182 (168,94) -R(k,m) | P(b,k). ** KEPT: 183 (168,19) -R(x,m) | -R(b,y) | -R(y,x). ** KEPT: 184 (168,18) -R(x,m) | -R(x,b). ** KEPT: 185 (168,3) -R(k,m) | R(b,j) | -P(b,j). ** KEPT: 186 (168,3) -R(j,m) | R(b,k) | -P(b,j). ** KEPT: 187 (168,2) -R(j,m) | -R(b,k) | P(b,j). ** KEPT: 188 (168,77) -R(b,k) | P(m,k). ** KEPT: 189 (168,18) -R(b,x) | -R(m,x). new given clause: 175 (19,1) -R(m,x) | -R(x,b). ** KEPT: 190 (175,72) -R(k,b) | P(m,k). ** KEPT: 191 (175,19) -R(x,b) | -R(m,y) | -R(y,x). ** KEPT: 192 (175,3) -R(k,b) | R(m,j) | -P(m,j). ** KEPT: 193 (175,3) -R(j,b) | R(m,k) | -P(m,j). ** KEPT: 194 (175,2) -R(j,b) | -R(m,k) | P(m,j). ** KEPT: 195 (175,99) -R(m,k) | P(b,k). new given clause: 182 (168,94) -R(k,m) | P(b,k). ** KEPT: 196 (182,77) P(b,k) | P(m,k). ** KEPT: 197 (182,19) P(b,k) | -R(k,x) | -R(x,m). new given clause: 184 (168,18) -R(x,m) | -R(x,b). ** KEPT: 198 (184,19) -R(x,b) | -R(x,y) | -R(y,m). ** KEPT: 199 (184,19) -R(x,m) | -R(x,y) | -R(y,b). new given clause: 188 (168,77) -R(b,k) | P(m,k). ** KEPT: 200 (188,19) P(m,k) | -R(b,x) | -R(x,k). ** KEPT: 201 (188,3) P(m,k) | R(b,j) | -P(b,j). new given clause: 189 (168,18) -R(b,x) | -R(m,x). ** KEPT: 202 (189,19) -R(m,x) | -R(b,y) | -R(y,x). ** KEPT: 203 (189,3) -R(m,k) | R(b,j) | -P(b,j). ** KEPT: 204 (189,3) -R(m,j) | R(b,k) | -P(b,j). ** KEPT: 205 (189,2) -R(m,j) | -R(b,k) | P(b,j). ** KEPT: 206 (189,19) -R(b,x) | -R(m,y) | -R(y,x). ** KEPT: 207 (189,3) -R(b,k) | R(m,j) | -P(m,j). ** KEPT: 208 (189,3) -R(b,j) | R(m,k) | -P(m,j). ** KEPT: 209 (189,2) -R(b,j) | -R(m,k) | P(m,j). new given clause: 190 (175,72) -R(k,b) | P(m,k). ** KEPT: 210 (190,19) P(m,k) | -R(k,x) | -R(x,b). new given clause: 195 (175,99) -R(m,k) | P(b,k). ** KEPT: 211 (195,19) P(b,k) | -R(m,x) | -R(x,k). ** KEPT: 212 (195,3) P(b,k) | R(m,j) | -P(m,j). new given clause: 196 (182,77) P(b,k) | P(m,k). new given clause: 20 -R(x,y) | -P(x,z) | P(y,z). ** KEPT: 213 (20,99) -P(k,x) | P(b,x) | P(b,k). ** KEPT: 214 (20,98) -P(f(b),x) | P(f(k),x) | P(b,k). ** KEPT: 215 (20,97) -P(g(b),x) | P(g(k),x) | P(b,k). ** KEPT: 216 (20,96) -P(f(k),x) | P(f(b),x) | P(b,k). ** KEPT: 217 (20,95) -P(g(k),x) | P(g(b),x) | P(b,k). ** KEPT: 218 (20,94) -P(b,x) | P(k,x) | P(b,k). ** KEPT: 219 (20,77) -P(k,x) | P(m,x) | P(m,k). ** KEPT: 220 (20,76) -P(f(m),x) | P(f(k),x) | P(m,k). ** KEPT: 221 (20,75) -P(g(m),x) | P(g(k),x) | P(m,k). ** KEPT: 222 (20,74) -P(f(k),x) | P(f(m),x) | P(m,k). ** KEPT: 223 (20,73) -P(g(k),x) | P(g(m),x) | P(m,k). ** KEPT: 224 (20,72) -P(m,x) | P(k,x) | P(m,k). ** KEPT: 225 (20,46) -P(j,x) | P(k,x) | P(k,j). ** KEPT: 226 (20,45) -P(f(k),x) | P(f(j),x) | P(k,j). ** KEPT: 227 (20,44) -P(g(k),x) | P(g(j),x) | P(k,j). ** KEPT: 228 (20,43) -P(f(j),x) | P(f(k),x) | P(k,j). ** KEPT: 229 (20,42) -P(g(j),x) | P(g(k),x) | P(k,j). ** KEPT: 230 (20,41) -P(k,x) | P(j,x) | P(k,j). ** KEPT: 231 (20,29) -P(g(x),y) | P(g(z),y) | -R(z,x). ** KEPT: 232 (20,26) -P(f(x),y) | P(f(z),y) | -R(z,x). ** KEPT: 233 (20,23) -P(g(x),y) | P(g(z),y) | -R(x,z). ** KEPT: 234 (20,22) -P(f(x),y) | P(f(z),y) | -R(x,z). ** KEPT: 235 (20,19) -P(x,y) | P(z,y) | -R(x,u) | -R(u,z). ** KEPT: 236 (20,18) -P(x,y) | P(z,y) | -R(z,x). ** KEPT: 237 (20,15) -P(x,y) | P(k,y) | -R(x,b) | P(x,k). ** KEPT: 238 (20,14) -P(x,y) | P(k,y) | -R(x,m) | P(x,k). ** KEPT: 239 (20,3) -P(x,y) | P(k,y) | R(x,j) | -P(x,j). ** KEPT: 240 (20,3) -P(x,y) | P(j,y) | R(x,k) | -P(x,j). ** KEPT: 241 (20,2) -P(x,y) | P(j,y) | -R(x,k) | P(x,j). ** KEPT: 242 (20,196) -R(m,x) | P(x,k) | P(b,k). ** KEPT: 243 (20,196) -R(b,x) | P(x,k) | P(m,k). ** KEPT: 244 (20,195) -R(b,x) | P(x,k) | -R(m,k). ** KEPT: 245 (20,190) -R(m,x) | P(x,k) | -R(k,b). ** KEPT: 246 (20,188) -R(m,x) | P(x,k) | -R(b,k). ** KEPT: 247 (20,182) -R(b,x) | P(x,k) | -R(k,m). ** KEPT: 248 (20,99) -R(b,x) | P(x,k) | R(k,b). ** KEPT: 249 (20,98) -R(b,x) | P(x,k) | R(f(b),f(k)). ** KEPT: 250 (20,97) -R(b,x) | P(x,k) | R(g(b),g(k)). ** KEPT: 251 (20,96) -R(b,x) | P(x,k) | R(f(k),f(b)). ** KEPT: 252 (20,95) -R(b,x) | P(x,k) | R(g(k),g(b)). ** KEPT: 253 (20,94) -R(b,x) | P(x,k) | R(b,k). ** KEPT: 254 (20,77) -R(m,x) | P(x,k) | R(k,m). ** KEPT: 255 (20,76) -R(m,x) | P(x,k) | R(f(m),f(k)). ** KEPT: 256 (20,75) -R(m,x) | P(x,k) | R(g(m),g(k)). ** KEPT: 257 (20,74) -R(m,x) | P(x,k) | R(f(k),f(m)). ** KEPT: 258 (20,73) -R(m,x) | P(x,k) | R(g(k),g(m)). ** KEPT: 259 (20,72) -R(m,x) | P(x,k) | R(m,k). ** KEPT: 260 (20,46) -R(k,x) | P(x,j) | R(j,k). ** KEPT: 261 (20,45) -R(k,x) | P(x,j) | R(f(k),f(j)). ** KEPT: 262 (20,44) -R(k,x) | P(x,j) | R(g(k),g(j)). ** KEPT: 263 (20,43) -R(k,x) | P(x,j) | R(f(j),f(k)). ** KEPT: 264 (20,42) -R(k,x) | P(x,j) | R(g(j),g(k)). ** KEPT: 265 (20,41) -R(k,x) | P(x,j) | R(k,j). ** KEPT: 266 (20,15) -R(x,y) | P(y,k) | R(x,k) | -R(x,b). ** KEPT: 267 (20,14) -R(x,y) | P(y,k) | R(x,k) | -R(x,m). ** KEPT: 268 (20,2) -R(x,y) | P(y,j) | R(x,j) | -R(x,k). ** KEPT: 269 (20,3) -R(x,y) | -P(x,j) | R(y,j) | R(y,k). ** KEPT: 270 (213) -P(k,k) | P(b,k). ** KEPT: 271 (219) -P(k,k) | P(m,k). ** KEPT: 272 (225) -P(j,j) | P(k,j). ** KEPT: 273 (239) -P(x,j) | P(k,j) | R(x,j). ** KEPT: 274 (240) -P(x,j) | P(j,j) | R(x,k). new given clause: 270 (213) -P(k,k) | P(b,k). ** KEPT: 275 (270,20) P(b,k) | -R(x,k) | -P(x,k). ** KEPT: 276 (270,20) -P(k,k) | -R(b,x) | P(x,k). new given clause: 271 (219) -P(k,k) | P(m,k). ** KEPT: 277 (271,20) P(m,k) | -R(x,k) | -P(x,k). ** KEPT: 278 (271,20) -P(k,k) | -R(m,x) | P(x,k). new given clause: 272 (225) -P(j,j) | P(k,j). ** KEPT: 279 (272,20) P(k,j) | -R(x,j) | -P(x,j). ** KEPT: 280 (272,20) -P(j,j) | -R(k,x) | P(x,j). new given clause: 21 -R(x,y) | -P(z,x) | P(z,y). ** KEPT: 281 (21,99) -P(x,k) | P(x,b) | P(b,k). ** KEPT: 282 (21,98) -P(x,f(b)) | P(x,f(k)) | P(b,k). ** KEPT: 283 (21,97) -P(x,g(b)) | P(x,g(k)) | P(b,k). ** KEPT: 284 (21,96) -P(x,f(k)) | P(x,f(b)) | P(b,k). ** KEPT: 285 (21,95) -P(x,g(k)) | P(x,g(b)) | P(b,k). ** KEPT: 286 (21,94) -P(x,b) | P(x,k) | P(b,k). ** KEPT: 287 (21,77) -P(x,k) | P(x,m) | P(m,k). ** KEPT: 288 (21,76) -P(x,f(m)) | P(x,f(k)) | P(m,k). ** KEPT: 289 (21,75) -P(x,g(m)) | P(x,g(k)) | P(m,k). ** KEPT: 290 (21,74) -P(x,f(k)) | P(x,f(m)) | P(m,k). ** KEPT: 291 (21,73) -P(x,g(k)) | P(x,g(m)) | P(m,k). ** KEPT: 292 (21,72) -P(x,m) | P(x,k) | P(m,k). ** KEPT: 293 (21,46) -P(x,j) | P(x,k) | P(k,j). ** KEPT: 294 (21,45) -P(x,f(k)) | P(x,f(j)) | P(k,j). ** KEPT: 295 (21,44) -P(x,g(k)) | P(x,g(j)) | P(k,j). ** KEPT: 296 (21,43) -P(x,f(j)) | P(x,f(k)) | P(k,j). ** KEPT: 297 (21,42) -P(x,g(j)) | P(x,g(k)) | P(k,j). ** KEPT: 298 (21,41) -P(x,k) | P(x,j) | P(k,j). ** KEPT: 299 (21,29) -P(x,g(y)) | P(x,g(z)) | -R(z,y). ** KEPT: 300 (21,26) -P(x,f(y)) | P(x,f(z)) | -R(z,y). ** KEPT: 301 (21,23) -P(x,g(y)) | P(x,g(z)) | -R(y,z). ** KEPT: 302 (21,22) -P(x,f(y)) | P(x,f(z)) | -R(y,z). ** KEPT: 303 (21,19) -P(x,y) | P(x,z) | -R(y,u) | -R(u,z). ** KEPT: 304 (21,18) -P(x,y) | P(x,z) | -R(z,y). ** KEPT: 305 (21,15) -P(x,y) | P(x,k) | -R(y,b) | P(y,k). ** KEPT: 306 (21,14) -P(x,y) | P(x,k) | -R(y,m) | P(y,k). ** KEPT: 307 (21,3) -P(x,y) | P(x,k) | R(y,j) | -P(y,j). ** KEPT: 308 (21,3) -P(x,y) | P(x,j) | R(y,k) | -P(y,j). ** KEPT: 309 (21,2) -P(x,y) | P(x,j) | -R(y,k) | P(y,j). ** KEPT: 310 (21,272) -R(j,x) | P(k,x) | -P(j,j). ** KEPT: 311 (21,271) -R(k,x) | P(m,x) | -P(k,k). ** KEPT: 312 (21,270) -R(k,x) | P(b,x) | -P(k,k). ** KEPT: 313 (21,196) -R(k,x) | P(m,x) | P(b,k). ** KEPT: 314 (21,196) -R(k,x) | P(b,x) | P(m,k). ** KEPT: 315 (21,195) -R(k,x) | P(b,x) | -R(m,k). ** KEPT: 316 (21,190) -R(k,x) | P(m,x) | -R(k,b). ** KEPT: 317 (21,188) -R(k,x) | P(m,x) | -R(b,k). ** KEPT: 318 (21,182) -R(k,x) | P(b,x) | -R(k,m). ** KEPT: 319 (21,99) -R(k,x) | P(b,x) | R(k,b). ** KEPT: 320 (21,98) -R(k,x) | P(b,x) | R(f(b),f(k)). ** KEPT: 321 (21,97) -R(k,x) | P(b,x) | R(g(b),g(k)). ** KEPT: 322 (21,96) -R(k,x) | P(b,x) | R(f(k),f(b)). ** KEPT: 323 (21,95) -R(k,x) | P(b,x) | R(g(k),g(b)). ** KEPT: 324 (21,94) -R(k,x) | P(b,x) | R(b,k). ** KEPT: 325 (21,77) -R(k,x) | P(m,x) | R(k,m). ** KEPT: 326 (21,76) -R(k,x) | P(m,x) | R(f(m),f(k)). ** KEPT: 327 (21,75) -R(k,x) | P(m,x) | R(g(m),g(k)). ** KEPT: 328 (21,74) -R(k,x) | P(m,x) | R(f(k),f(m)). ** KEPT: 329 (21,73) -R(k,x) | P(m,x) | R(g(k),g(m)). ** KEPT: 330 (21,72) -R(k,x) | P(m,x) | R(m,k). ** KEPT: 331 (21,46) -R(j,x) | P(k,x) | R(j,k). ** KEPT: 332 (21,45) -R(j,x) | P(k,x) | R(f(k),f(j)). ** KEPT: 333 (21,44) -R(j,x) | P(k,x) | R(g(k),g(j)). ** KEPT: 334 (21,43) -R(j,x) | P(k,x) | R(f(j),f(k)). ** KEPT: 335 (21,42) -R(j,x) | P(k,x) | R(g(j),g(k)). ** KEPT: 336 (21,41) -R(j,x) | P(k,x) | R(k,j). ** KEPT: 337 (21,20) -R(x,y) | P(z,y) | -R(u,z) | -P(u,x). ** KEPT: 338 (21,15) -R(k,x) | P(y,x) | R(y,k) | -R(y,b). ** KEPT: 339 (21,14) -R(k,x) | P(y,x) | R(y,k) | -R(y,m). ** KEPT: 340 (21,2) -R(j,x) | P(y,x) | R(y,j) | -R(y,k). ** KEPT: 341 (21,272) -R(x,j) | -P(j,x) | P(k,j). ** KEPT: 342 (21,271) -R(x,k) | -P(k,x) | P(m,k). ** KEPT: 343 (21,270) -R(x,k) | -P(k,x) | P(b,k). ** KEPT: 344 (21,3) -R(x,j) | -P(y,x) | R(y,j) | R(y,k). ** KEPT: 345 (286) -P(b,b) | P(b,k). ** KEPT: 346 (292) -P(m,m) | P(m,k). ** KEPT: 347 (298) -P(k,k) | P(k,j). ** KEPT: 348 (305) -P(x,x) | P(x,k) | -R(x,b). ** KEPT: 349 (306) -P(x,x) | P(x,k) | -R(x,m). ** KEPT: 350 (309) -P(x,x) | P(x,j) | -R(x,k). ** KEPT: 351 (316) -R(k,b) | P(m,b). ** KEPT: 352 (318) -R(k,m) | P(b,m). ** KEPT: 353 (337) -R(x,y) | P(y,y) | -P(x,x). new given clause: 345 (286) -P(b,b) | P(b,k). ** KEPT: 354 (345,21) P(b,k) | -R(x,b) | -P(b,x). ** KEPT: 355 (345,20) P(b,k) | -R(x,b) | -P(x,b). ** KEPT: 356 (345,21) -P(b,b) | -R(k,x) | P(b,x). ** KEPT: 357 (345,20) -P(b,b) | -R(b,x) | P(x,k). new given clause: 346 (292) -P(m,m) | P(m,k). ** KEPT: 358 (346,21) P(m,k) | -R(x,m) | -P(m,x). ** KEPT: 359 (346,20) P(m,k) | -R(x,m) | -P(x,m). ** KEPT: 360 (346,21) -P(m,m) | -R(k,x) | P(m,x). ** KEPT: 361 (346,20) -P(m,m) | -R(m,x) | P(x,k). new given clause: 347 (298) -P(k,k) | P(k,j). ** KEPT: 362 (347,21) P(k,j) | -R(x,k) | -P(k,x). ** KEPT: 363 (347,20) P(k,j) | -R(x,k) | -P(x,k). ** KEPT: 364 (347,21) -P(k,k) | -R(j,x) | P(k,x). ** KEPT: 365 (347,20) -P(k,k) | -R(k,x) | P(x,j). new given clause: 351 (316) -R(k,b) | P(m,b). ** KEPT: 366 (351,99) P(m,b) | P(b,k). ** KEPT: 367 (351,19) P(m,b) | -R(k,x) | -R(x,b). ** KEPT: 368 (351,18) P(m,b) | -R(b,k). ** KEPT: 369 (351,21) -R(k,b) | -R(b,x) | P(m,x). ** KEPT: 370 (351,20) -R(k,b) | -R(m,x) | P(x,b). new given clause: 352 (318) -R(k,m) | P(b,m). ** KEPT: 371 (352,77) P(b,m) | P(m,k). ** KEPT: 372 (352,19) P(b,m) | -R(k,x) | -R(x,m). ** KEPT: 373 (352,18) P(b,m) | -R(m,k). ** KEPT: 374 (352,21) -R(k,m) | -R(m,x) | P(b,x). ** KEPT: 375 (352,20) -R(k,m) | -R(b,x) | P(x,m). new given clause: 366 (351,99) P(m,b) | P(b,k). ** KEPT: 376 (366,21) P(b,k) | -R(b,x) | P(m,x). ** KEPT: 377 (366,20) P(b,k) | -R(m,x) | P(x,b). ** KEPT: 378 (366,21) P(m,b) | -R(k,x) | P(b,x). ** KEPT: 379 (366,20) P(m,b) | -R(b,x) | P(x,k). new given clause: 368 (351,18) P(m,b) | -R(b,k). ** KEPT: 380 (368,21) -R(b,k) | -R(b,x) | P(m,x). ** KEPT: 381 (368,20) -R(b,k) | -R(m,x) | P(x,b). ** KEPT: 382 (368,19) P(m,b) | -R(b,x) | -R(x,k). ** KEPT: 383 (368,3) P(m,b) | R(b,j) | -P(b,j). new given clause: 371 (352,77) P(b,m) | P(m,k). ** KEPT: 384 (371,21) P(m,k) | -R(m,x) | P(b,x). ** KEPT: 385 (371,20) P(m,k) | -R(b,x) | P(x,m). ** KEPT: 386 (371,21) P(b,m) | -R(k,x) | P(m,x). ** KEPT: 387 (371,20) P(b,m) | -R(m,x) | P(x,k). new given clause: 373 (352,18) P(b,m) | -R(m,k). ** KEPT: 388 (373,21) -R(m,k) | -R(m,x) | P(b,x). ** KEPT: 389 (373,20) -R(m,k) | -R(b,x) | P(x,m). ** KEPT: 390 (373,19) P(b,m) | -R(m,x) | -R(x,k). ** KEPT: 391 (373,3) P(b,m) | R(m,j) | -P(m,j). new given clause: 39 (2,18) -R(x,k) | P(x,j) | R(j,x). ** KEPT: 392 (39,94) P(b,j) | R(j,b) | P(b,k). ** KEPT: 393 (39,72) P(m,j) | R(j,m) | P(m,k). ** KEPT: 394 (39,19) P(x,j) | R(j,x) | -R(x,y) | -R(y,k). ** KEPT: 395 (39,18) P(x,j) | R(j,x) | -R(k,x). ** KEPT: 396 (39,15) P(x,j) | R(j,x) | -R(x,b) | P(x,k). ** KEPT: 397 (39,14) P(x,j) | R(j,x) | -R(x,m) | P(x,k). ** KEPT: 398 (39,21) -R(x,k) | R(j,x) | -R(j,y) | P(x,y). ** KEPT: 399 (39,20) -R(x,k) | R(j,x) | -R(x,y) | P(y,j). ** KEPT: 400 (39,21) -R(x,k) | P(x,j) | -P(y,j) | P(y,x). ** KEPT: 401 (39,20) -R(x,k) | P(x,j) | -P(j,y) | P(x,y). ** KEPT: 402 (39,19) -R(x,k) | P(x,j) | -R(y,j) | R(y,x). ** KEPT: 403 (39,19) -R(x,k) | P(x,j) | -R(x,y) | R(j,y). ** KEPT: 404 (399) -R(x,k) | R(j,x) | P(k,j). ** KEPT: 405 (401) -R(x,k) | P(x,j) | -P(j,j). ** KEPT: 406 (403) -R(x,k) | P(x,j) | R(j,k). new given clause: 40 (2,18) R(x,j) | P(x,j) | -R(k,x). ** KEPT: 407 (40,189) P(m,j) | -R(k,m) | -R(b,j). ** KEPT: 408 (40,189) P(b,j) | -R(k,b) | -R(m,j). ** KEPT: 409 (40,175) P(m,j) | -R(k,m) | -R(j,b). ** KEPT: 410 (40,168) P(b,j) | -R(k,b) | -R(j,m). ** KEPT: 411 (40,29) P(x,j) | -R(k,x) | R(g(j),g(x)). ** KEPT: 412 (40,26) P(x,j) | -R(k,x) | R(f(j),f(x)). ** KEPT: 413 (40,23) P(x,j) | -R(k,x) | R(g(x),g(j)). ** KEPT: 414 (40,22) P(x,j) | -R(k,x) | R(f(x),f(j)). ** KEPT: 415 (40,21) P(x,j) | -R(k,x) | -P(y,x) | P(y,j). ** KEPT: 416 (40,20) P(x,j) | -R(k,x) | -P(x,y) | P(j,y). ** KEPT: 417 (40,19) P(x,j) | -R(k,x) | -R(y,x) | R(y,j). ** KEPT: 418 (40,19) P(x,j) | -R(k,x) | -R(j,y) | R(x,y). ** KEPT: 419 (40,21) R(x,j) | -R(k,x) | -R(j,y) | P(x,y). ** KEPT: 420 (40,20) R(x,j) | -R(k,x) | -R(x,y) | P(y,j). ** KEPT: 421 (40,19) R(x,j) | P(x,j) | -R(k,y) | -R(y,x). ** KEPT: 422 (415) P(x,j) | -R(k,x) | -P(x,x). new given clause: 59 (3,18) R(x,k) | -P(x,j) | R(j,x). ** KEPT: 423 (59,373) -P(m,j) | R(j,m) | P(b,m). ** KEPT: 424 (59,368) -P(b,j) | R(j,b) | P(m,b). ** KEPT: 425 (59,195) -P(m,j) | R(j,m) | P(b,k). ** KEPT: 426 (59,189) -P(m,j) | R(j,m) | -R(b,k). ** KEPT: 427 (59,189) -P(b,j) | R(j,b) | -R(m,k). ** KEPT: 428 (59,188) -P(b,j) | R(j,b) | P(m,k). ** KEPT: 429 (59,175) -P(m,j) | R(j,m) | -R(k,b). ** KEPT: 430 (59,168) -P(b,j) | R(j,b) | -R(k,m). ** KEPT: 431 (59,29) -P(x,j) | R(j,x) | R(g(k),g(x)). ** KEPT: 432 (59,26) -P(x,j) | R(j,x) | R(f(k),f(x)). ** KEPT: 433 (59,23) -P(x,j) | R(j,x) | R(g(x),g(k)). ** KEPT: 434 (59,22) -P(x,j) | R(j,x) | R(f(x),f(k)). ** KEPT: 435 (59,21) -P(x,j) | R(j,x) | -P(y,x) | P(y,k). ** KEPT: 436 (59,20) -P(x,j) | R(j,x) | -P(x,y) | P(k,y). ** KEPT: 437 (59,19) -P(x,j) | R(j,x) | -R(y,x) | R(y,k). ** KEPT: 438 (59,19) -P(x,j) | R(j,x) | -R(k,y) | R(x,y). ** KEPT: 439 (59,18) -P(x,j) | R(j,x) | R(k,x). ** KEPT: 440 (59,21) R(x,k) | R(j,x) | -R(y,j) | -P(x,y). ** KEPT: 441 (59,20) R(x,k) | R(j,x) | -R(y,x) | -P(y,j). ** KEPT: 442 (59,21) R(x,k) | -P(x,j) | -P(y,j) | P(y,x). ** KEPT: 443 (59,20) R(x,k) | -P(x,j) | -P(j,y) | P(x,y). ** KEPT: 444 (59,19) R(x,k) | -P(x,j) | -R(y,j) | R(y,x). ** KEPT: 445 (59,19) R(x,k) | -P(x,j) | -R(x,y) | R(j,y). ** KEPT: 446 (59,15) R(b,k) | -P(b,j) | R(j,k) | P(j,k). ** KEPT: 447 (59,14) R(m,k) | -P(m,j) | R(j,k) | P(j,k). ** KEPT: 448 (436) -P(x,j) | R(j,x) | P(k,j). ** KEPT: 449 (442) R(x,k) | -P(x,j) | P(x,x). new given clause: 64 (3,18) R(x,j) | -P(x,j) | R(k,x). ** KEPT: 450 (64,189) -P(m,j) | R(k,m) | -R(b,j). ** KEPT: 451 (64,189) -P(b,j) | R(k,b) | -R(m,j). ** KEPT: 452 (64,175) -P(m,j) | R(k,m) | -R(j,b). ** KEPT: 453 (64,168) -P(b,j) | R(k,b) | -R(j,m). ** KEPT: 454 (64,29) -P(x,j) | R(k,x) | R(g(j),g(x)). ** KEPT: 455 (64,26) -P(x,j) | R(k,x) | R(f(j),f(x)). ** KEPT: 456 (64,23) -P(x,j) | R(k,x) | R(g(x),g(j)). ** KEPT: 457 (64,22) -P(x,j) | R(k,x) | R(f(x),f(j)). ** KEPT: 458 (64,21) -P(x,j) | R(k,x) | -P(y,x) | P(y,j). ** KEPT: 459 (64,20) -P(x,j) | R(k,x) | -P(x,y) | P(j,y). ** KEPT: 460 (64,19) -P(x,j) | R(k,x) | -R(y,x) | R(y,j). ** KEPT: 461 (64,19) -P(x,j) | R(k,x) | -R(j,y) | R(x,y). ** KEPT: 462 (64,21) R(x,j) | R(k,x) | -R(y,j) | -P(x,y). ** KEPT: 463 (64,20) R(x,j) | R(k,x) | -R(y,x) | -P(y,j). ** KEPT: 464 (64,21) R(x,j) | -P(x,j) | -P(y,k) | P(y,x). ** KEPT: 465 (64,20) R(x,j) | -P(x,j) | -P(k,y) | P(x,y). ** KEPT: 466 (64,19) R(x,j) | -P(x,j) | -R(y,k) | R(y,x). ** KEPT: 467 (64,19) R(x,j) | -P(x,j) | -R(x,y) | R(k,y). ** KEPT: 468 (459) -P(x,j) | R(k,x) | P(j,j). new given clause: 69 (14,18) -R(x,m) | P(x,k) | R(k,x). ** KEPT: 469 (69,59) P(j,k) | R(k,j) | R(m,k) | -P(m,j). ** KEPT: 470 (69,39) P(j,k) | R(k,j) | -R(m,k) | P(m,j). ** KEPT: 471 (69,19) P(x,k) | R(k,x) | -R(x,y) | -R(y,m). ** KEPT: 472 (69,18) P(x,k) | R(k,x) | -R(m,x). ** KEPT: 473 (69,21) -R(x,m) | R(k,x) | -R(k,y) | P(x,y). ** KEPT: 474 (69,20) -R(x,m) | R(k,x) | -R(x,y) | P(y,k). ** KEPT: 475 (69,21) -R(x,m) | P(x,k) | -P(y,k) | P(y,x). ** KEPT: 476 (69,20) -R(x,m) | P(x,k) | -P(k,y) | P(x,y). ** KEPT: 477 (69,19) -R(x,m) | P(x,k) | -R(y,k) | R(y,x). ** KEPT: 478 (69,19) -R(x,m) | P(x,k) | -R(x,y) | R(k,y). ** KEPT: 479 (474) -R(x,m) | R(k,x) | P(m,k). ** KEPT: 480 (476) -R(x,m) | P(x,k) | -P(k,k). ** KEPT: 481 (478) -R(x,m) | P(x,k) | R(k,m). new given clause: 71 (14,18) R(x,k) | P(x,k) | -R(m,x). ** KEPT: 482 (71,39) P(x,k) | -R(m,x) | P(x,j) | R(j,x). ** KEPT: 483 (71,29) P(x,k) | -R(m,x) | R(g(k),g(x)). ** KEPT: 484 (71,26) P(x,k) | -R(m,x) | R(f(k),f(x)). ** KEPT: 485 (71,23) P(x,k) | -R(m,x) | R(g(x),g(k)). ** KEPT: 486 (71,22) P(x,k) | -R(m,x) | R(f(x),f(k)). ** KEPT: 487 (71,21) P(x,k) | -R(m,x) | -P(y,x) | P(y,k). ** KEPT: 488 (71,20) P(x,k) | -R(m,x) | -P(x,y) | P(k,y). ** KEPT: 489 (71,19) P(x,k) | -R(m,x) | -R(y,x) | R(y,k). ** KEPT: 490 (71,19) P(x,k) | -R(m,x) | -R(k,y) | R(x,y). ** KEPT: 491 (71,2) P(x,k) | -R(m,x) | R(x,j) | P(x,j). ** KEPT: 492 (71,21) R(x,k) | -R(m,x) | -R(k,y) | P(x,y). ** KEPT: 493 (71,20) R(x,k) | -R(m,x) | -R(x,y) | P(y,k). ** KEPT: 494 (71,64) R(j,k) | P(j,k) | -P(m,j) | R(k,m). ** KEPT: 495 (71,19) R(x,k) | P(x,k) | -R(m,y) | -R(y,x). ** KEPT: 496 (487) P(x,k) | -R(m,x) | -P(x,x). new given clause: 78 (72,2) P(m,k) | R(m,j) | P(m,j). ** KEPT: 497 (78,21) R(m,j) | P(m,j) | -R(k,x) | P(m,x). ** KEPT: 498 (78,20) R(m,j) | P(m,j) | -R(m,x) | P(x,k). ** KEPT: 499 (78,189) P(m,k) | P(m,j) | -R(b,j). ** KEPT: 500 (78,175) P(m,k) | P(m,j) | -R(j,b). ** KEPT: 501 (78,71) P(m,k) | P(m,j) | R(j,k) | P(j,k). ** KEPT: 502 (78,29) P(m,k) | P(m,j) | R(g(j),g(m)). ** KEPT: 503 (78,26) P(m,k) | P(m,j) | R(f(j),f(m)). ** KEPT: 504 (78,23) P(m,k) | P(m,j) | R(g(m),g(j)). ** KEPT: 505 (78,22) P(m,k) | P(m,j) | R(f(m),f(j)). ** KEPT: 506 (78,21) P(m,k) | P(m,j) | -P(x,m) | P(x,j). ** KEPT: 507 (78,20) P(m,k) | P(m,j) | -P(m,x) | P(j,x). ** KEPT: 508 (78,19) P(m,k) | P(m,j) | -R(x,m) | R(x,j). ** KEPT: 509 (78,19) P(m,k) | P(m,j) | -R(j,x) | R(m,x). ** KEPT: 510 (78,21) P(m,k) | R(m,j) | -R(j,x) | P(m,x). ** KEPT: 511 (78,20) P(m,k) | R(m,j) | -R(m,x) | P(x,j). ** KEPT: 512 (497) R(m,j) | P(m,j) | -R(k,j). ** KEPT: 513 (510) P(m,k) | R(m,j) | -R(j,k). new given clause: 91 (15,18) -R(x,b) | P(x,k) | R(k,x). ** KEPT: 514 (91,59) P(j,k) | R(k,j) | R(b,k) | -P(b,j). ** KEPT: 515 (91,39) P(j,k) | R(k,j) | -R(b,k) | P(b,j). ** KEPT: 516 (91,19) P(x,k) | R(k,x) | -R(x,y) | -R(y,b). ** KEPT: 517 (91,18) P(x,k) | R(k,x) | -R(b,x). ** KEPT: 518 (91,21) -R(x,b) | R(k,x) | -R(k,y) | P(x,y). ** KEPT: 519 (91,20) -R(x,b) | R(k,x) | -R(x,y) | P(y,k). ** KEPT: 520 (91,21) -R(x,b) | P(x,k) | -P(y,k) | P(y,x). ** KEPT: 521 (91,20) -R(x,b) | P(x,k) | -P(k,y) | P(x,y). ** KEPT: 522 (91,19) -R(x,b) | P(x,k) | -R(y,k) | R(y,x). ** KEPT: 523 (91,19) -R(x,b) | P(x,k) | -R(x,y) | R(k,y). ** KEPT: 524 (519) -R(x,b) | R(k,x) | P(b,k). ** KEPT: 525 (521) -R(x,b) | P(x,k) | -P(k,k). ** KEPT: 526 (523) -R(x,b) | P(x,k) | R(k,b). new given clause: 93 (15,18) R(x,k) | P(x,k) | -R(b,x). ** KEPT: 527 (93,39) P(x,k) | -R(b,x) | P(x,j) | R(j,x). ** KEPT: 528 (93,29) P(x,k) | -R(b,x) | R(g(k),g(x)). ** KEPT: 529 (93,26) P(x,k) | -R(b,x) | R(f(k),f(x)). ** KEPT: 530 (93,23) P(x,k) | -R(b,x) | R(g(x),g(k)). ** KEPT: 531 (93,22) P(x,k) | -R(b,x) | R(f(x),f(k)). ** KEPT: 532 (93,21) P(x,k) | -R(b,x) | -P(y,x) | P(y,k). ** KEPT: 533 (93,20) P(x,k) | -R(b,x) | -P(x,y) | P(k,y). ** KEPT: 534 (93,19) P(x,k) | -R(b,x) | -R(y,x) | R(y,k). ** KEPT: 535 (93,19) P(x,k) | -R(b,x) | -R(k,y) | R(x,y). ** KEPT: 536 (93,2) P(x,k) | -R(b,x) | R(x,j) | P(x,j). ** KEPT: 537 (93,21) R(x,k) | -R(b,x) | -R(k,y) | P(x,y). ** KEPT: 538 (93,20) R(x,k) | -R(b,x) | -R(x,y) | P(y,k). ** KEPT: 539 (93,64) R(j,k) | P(j,k) | -P(b,j) | R(k,b). ** KEPT: 540 (93,19) R(x,k) | P(x,k) | -R(b,y) | -R(y,x). ** KEPT: 541 (532) P(x,k) | -R(b,x) | -P(x,x). new given clause: 100 (94,2) P(b,k) | R(b,j) | P(b,j). ** KEPT: 542 (100,21) R(b,j) | P(b,j) | -R(k,x) | P(b,x). ** KEPT: 543 (100,20) R(b,j) | P(b,j) | -R(b,x) | P(x,k). ** KEPT: 544 (100,189) P(b,k) | P(b,j) | -R(m,j). ** KEPT: 545 (100,168) P(b,k) | P(b,j) | -R(j,m). ** KEPT: 546 (100,93) P(b,k) | P(b,j) | R(j,k) | P(j,k). ** KEPT: 547 (100,29) P(b,k) | P(b,j) | R(g(j),g(b)). ** KEPT: 548 (100,26) P(b,k) | P(b,j) | R(f(j),f(b)). ** KEPT: 549 (100,23) P(b,k) | P(b,j) | R(g(b),g(j)). ** KEPT: 550 (100,22) P(b,k) | P(b,j) | R(f(b),f(j)). ** KEPT: 551 (100,21) P(b,k) | P(b,j) | -P(x,b) | P(x,j). ** KEPT: 552 (100,20) P(b,k) | P(b,j) | -P(b,x) | P(j,x). ** KEPT: 553 (100,19) P(b,k) | P(b,j) | -R(x,b) | R(x,j). ** KEPT: 554 (100,19) P(b,k) | P(b,j) | -R(j,x) | R(b,x). ** KEPT: 555 (100,21) P(b,k) | R(b,j) | -R(j,x) | P(b,x). ** KEPT: 556 (100,20) P(b,k) | R(b,j) | -R(b,x) | P(x,j). ** KEPT: 557 (542) R(b,j) | P(b,j) | -R(k,j). ** KEPT: 558 (555) P(b,k) | R(b,j) | -R(j,k). new given clause: 109 (19,99) -R(b,x) | R(k,x) | P(b,k). ** KEPT: 559 (109,100) R(k,j) | P(b,k) | P(b,j). ** KEPT: 560 (109,19) R(k,x) | P(b,k) | -R(b,y) | -R(y,x). ** KEPT: 561 (109,40) -R(b,x) | P(b,k) | R(x,j) | P(x,j). ** KEPT: 562 (109,29) -R(b,x) | P(b,k) | R(g(x),g(k)). ** KEPT: 563 (109,26) -R(b,x) | P(b,k) | R(f(x),f(k)). ** KEPT: 564 (109,23) -R(b,x) | P(b,k) | R(g(k),g(x)). ** KEPT: 565 (109,22) -R(b,x) | P(b,k) | R(f(k),f(x)). ** KEPT: 566 (109,21) -R(b,x) | P(b,k) | -P(y,k) | P(y,x). ** KEPT: 567 (109,20) -R(b,x) | P(b,k) | -P(k,y) | P(x,y). ** KEPT: 568 (109,19) -R(b,x) | P(b,k) | -R(y,k) | R(y,x). ** KEPT: 569 (109,18) -R(b,x) | P(b,k) | R(x,k). ** KEPT: 570 (109,21) -R(b,x) | R(k,x) | -R(k,y) | P(b,y). ** KEPT: 571 (109,20) -R(b,x) | R(k,x) | -R(b,y) | P(y,k). new given clause: 114 (19,94) -R(k,x) | R(b,x) | P(b,k). ** KEPT: 572 (114,69) R(b,x) | P(b,k) | -R(x,m) | P(x,k). ** KEPT: 573 (114,64) R(b,x) | P(b,k) | R(x,j) | -P(x,j). ** KEPT: 574 (114,41) R(b,j) | P(b,k) | P(k,j). ** KEPT: 575 (114,19) R(b,x) | P(b,k) | -R(k,y) | -R(y,x). ** KEPT: 576 (114,18) R(b,x) | P(b,k) | -R(x,k). ** KEPT: 577 (114,189) -R(k,x) | P(b,k) | -R(m,x). ** KEPT: 578 (114,29) -R(k,x) | P(b,k) | R(g(x),g(b)). ** KEPT: 579 (114,26) -R(k,x) | P(b,k) | R(f(x),f(b)). ** KEPT: 580 (114,23) -R(k,x) | P(b,k) | R(g(b),g(x)). ** KEPT: 581 (114,22) -R(k,x) | P(b,k) | R(f(b),f(x)). ** KEPT: 582 (114,21) -R(k,x) | P(b,k) | -P(y,b) | P(y,x). ** KEPT: 583 (114,20) -R(k,x) | P(b,k) | -P(b,y) | P(x,y). ** KEPT: 584 (114,19) -R(k,x) | P(b,k) | -R(y,b) | R(y,x). ** KEPT: 585 (114,18) -R(k,x) | P(b,k) | R(x,b). ** KEPT: 586 (114,21) -R(k,x) | R(b,x) | -R(k,y) | P(b,y). ** KEPT: 587 (114,20) -R(k,x) | R(b,x) | -R(b,y) | P(y,k). 576 back subsumes: 558 (555) P(b,k) | R(b,j) | -R(j,k). ** KEPT: 588 (586) -R(k,x) | R(b,x) | P(b,x). 588 back subsumes: 557 (542) R(b,j) | P(b,j) | -R(k,j). new given clause: 115 (19,77) -R(m,x) | R(k,x) | P(m,k). ** KEPT: 589 (115,78) R(k,j) | P(m,k) | P(m,j). ** KEPT: 590 (115,19) R(k,x) | P(m,k) | -R(m,y) | -R(y,x). ** KEPT: 591 (115,40) -R(m,x) | P(m,k) | R(x,j) | P(x,j). ** KEPT: 592 (115,29) -R(m,x) | P(m,k) | R(g(x),g(k)). ** KEPT: 593 (115,26) -R(m,x) | P(m,k) | R(f(x),f(k)). ** KEPT: 594 (115,23) -R(m,x) | P(m,k) | R(g(k),g(x)). ** KEPT: 595 (115,22) -R(m,x) | P(m,k) | R(f(k),f(x)). ** KEPT: 596 (115,21) -R(m,x) | P(m,k) | -P(y,k) | P(y,x). ** KEPT: 597 (115,20) -R(m,x) | P(m,k) | -P(k,y) | P(x,y). ** KEPT: 598 (115,19) -R(m,x) | P(m,k) | -R(y,k) | R(y,x). ** KEPT: 599 (115,18) -R(m,x) | P(m,k) | R(x,k). ** KEPT: 600 (115,21) -R(m,x) | R(k,x) | -R(k,y) | P(m,y). ** KEPT: 601 (115,20) -R(m,x) | R(k,x) | -R(m,y) | P(y,k). new given clause: 120 (19,72) -R(k,x) | R(m,x) | P(m,k). ** KEPT: 602 (120,91) R(m,x) | P(m,k) | -R(x,b) | P(x,k). ** KEPT: 603 (120,64) R(m,x) | P(m,k) | R(x,j) | -P(x,j). ** KEPT: 604 (120,41) R(m,j) | P(m,k) | P(k,j). ** KEPT: 605 (120,19) R(m,x) | P(m,k) | -R(k,y) | -R(y,x). ** KEPT: 606 (120,18) R(m,x) | P(m,k) | -R(x,k). ** KEPT: 607 (120,189) -R(k,x) | P(m,k) | -R(b,x). ** KEPT: 608 (120,29) -R(k,x) | P(m,k) | R(g(x),g(m)). ** KEPT: 609 (120,26) -R(k,x) | P(m,k) | R(f(x),f(m)). ** KEPT: 610 (120,23) -R(k,x) | P(m,k) | R(g(m),g(x)). ** KEPT: 611 (120,22) -R(k,x) | P(m,k) | R(f(m),f(x)). ** KEPT: 612 (120,21) -R(k,x) | P(m,k) | -P(y,m) | P(y,x). ** KEPT: 613 (120,20) -R(k,x) | P(m,k) | -P(m,y) | P(x,y). ** KEPT: 614 (120,19) -R(k,x) | P(m,k) | -R(y,m) | R(y,x). ** KEPT: 615 (120,18) -R(k,x) | P(m,k) | R(x,m). ** KEPT: 616 (120,21) -R(k,x) | R(m,x) | -R(k,y) | P(m,y). ** KEPT: 617 (120,20) -R(k,x) | R(m,x) | -R(m,y) | P(y,k). 606 back subsumes: 513 (510) P(m,k) | R(m,j) | -R(j,k). ** KEPT: 618 (616) -R(k,x) | R(m,x) | P(m,x). 618 back subsumes: 512 (497) R(m,j) | P(m,j) | -R(k,j). new given clause: 121 (19,46) -R(k,x) | R(j,x) | P(k,j). ** KEPT: 619 (121,115) R(j,x) | P(k,j) | -R(m,x) | P(m,k). ** KEPT: 620 (121,109) R(j,x) | P(k,j) | -R(b,x) | P(b,k). ** KEPT: 621 (121,99) R(j,b) | P(k,j) | P(b,k). ** KEPT: 622 (121,91) R(j,x) | P(k,j) | -R(x,b) | P(x,k). ** KEPT: 623 (121,77) R(j,m) | P(k,j) | P(m,k). ** KEPT: 624 (121,69) R(j,x) | P(k,j) | -R(x,m) | P(x,k). ** KEPT: 625 (121,19) R(j,x) | P(k,j) | -R(k,y) | -R(y,x). ** KEPT: 626 (121,184) -R(k,b) | P(k,j) | -R(j,m). ** KEPT: 627 (121,184) -R(k,m) | P(k,j) | -R(j,b). ** KEPT: 628 (121,175) -R(k,b) | P(k,j) | -R(m,j). ** KEPT: 629 (121,168) -R(k,m) | P(k,j) | -R(b,j). ** KEPT: 630 (121,29) -R(k,x) | P(k,j) | R(g(x),g(j)). ** KEPT: 631 (121,26) -R(k,x) | P(k,j) | R(f(x),f(j)). ** KEPT: 632 (121,23) -R(k,x) | P(k,j) | R(g(j),g(x)). ** KEPT: 633 (121,22) -R(k,x) | P(k,j) | R(f(j),f(x)). ** KEPT: 634 (121,21) -R(k,x) | P(k,j) | -P(y,j) | P(y,x). ** KEPT: 635 (121,20) -R(k,x) | P(k,j) | -P(j,y) | P(x,y). ** KEPT: 636 (121,19) -R(k,x) | P(k,j) | -R(y,j) | R(y,x). ** KEPT: 637 (121,18) -R(k,x) | P(k,j) | R(x,j). ** KEPT: 638 (121,21) -R(k,x) | R(j,x) | -R(j,y) | P(k,y). ** KEPT: 639 (121,20) -R(k,x) | R(j,x) | -R(k,y) | P(y,j). new given clause: 126 (19,41) -R(j,x) | R(k,x) | P(k,j). ** KEPT: 640 (126,59) R(k,x) | P(k,j) | R(x,k) | -P(x,j). ** KEPT: 641 (126,19) R(k,x) | P(k,j) | -R(j,y) | -R(y,x). ** KEPT: 642 (126,18) R(k,x) | P(k,j) | -R(x,j). ** KEPT: 643 (126,352) -R(j,m) | P(k,j) | P(b,m). ** KEPT: 644 (126,351) -R(j,b) | P(k,j) | P(m,b). ** KEPT: 645 (126,190) -R(j,b) | P(k,j) | P(m,k). ** KEPT: 646 (126,182) -R(j,m) | P(k,j) | P(b,k). ** KEPT: 647 (126,175) -R(j,b) | P(k,j) | -R(m,k). ** KEPT: 648 (126,168) -R(j,m) | P(k,j) | -R(b,k). ** KEPT: 649 (126,120) -R(j,x) | P(k,j) | R(m,x) | P(m,k). ** KEPT: 650 (126,114) -R(j,x) | P(k,j) | R(b,x) | P(b,k). ** KEPT: 651 (126,29) -R(j,x) | P(k,j) | R(g(x),g(k)). ** KEPT: 652 (126,26) -R(j,x) | P(k,j) | R(f(x),f(k)). ** KEPT: 653 (126,23) -R(j,x) | P(k,j) | R(g(k),g(x)). ** KEPT: 654 (126,22) -R(j,x) | P(k,j) | R(f(k),f(x)). ** KEPT: 655 (126,21) -R(j,x) | P(k,j) | -P(y,k) | P(y,x). ** KEPT: 656 (126,20) -R(j,x) | P(k,j) | -P(k,y) | P(x,y). ** KEPT: 657 (126,19) -R(j,x) | P(k,j) | -R(y,k) | R(y,x). ** KEPT: 658 (126,18) -R(j,x) | P(k,j) | R(x,k). ** KEPT: 659 (126,21) -R(j,x) | R(k,x) | -R(j,y) | P(k,y). ** KEPT: 660 (126,20) -R(j,x) | R(k,x) | -R(k,y) | P(y,j). ** KEPT: 661 (659) -R(j,x) | R(k,x) | P(k,x). new given clause: 132 (19,18) -R(x,y) | R(z,y) | -R(x,z). ** KEPT: 662 (132,132) R(x,y) | -R(z,x) | -R(u,y) | -R(u,z). ** KEPT: 663 (132,126) R(x,y) | -R(k,x) | -R(j,y) | P(k,j). ** KEPT: 664 (132,121) R(x,y) | -R(j,x) | -R(k,y) | P(k,j). ** KEPT: 665 (132,120) R(x,y) | -R(m,x) | -R(k,y) | P(m,k). ** KEPT: 666 (132,115) R(x,y) | -R(k,x) | -R(m,y) | P(m,k). ** KEPT: 667 (132,114) R(x,y) | -R(b,x) | -R(k,y) | P(b,k). ** KEPT: 668 (132,109) R(x,y) | -R(k,x) | -R(b,y) | P(b,k). ** KEPT: 669 (132,100) R(x,j) | -R(b,x) | P(b,k) | P(b,j). ** KEPT: 670 (132,98) R(x,f(k)) | -R(f(b),x) | P(b,k). ** KEPT: 671 (132,97) R(x,g(k)) | -R(g(b),x) | P(b,k). ** KEPT: 672 (132,96) R(x,f(b)) | -R(f(k),x) | P(b,k). ** KEPT: 673 (132,95) R(x,g(b)) | -R(g(k),x) | P(b,k). ** KEPT: 674 (132,93) R(x,k) | -R(y,x) | P(y,k) | -R(b,y). ** KEPT: 675 (132,91) R(x,y) | -R(k,x) | -R(y,b) | P(y,k). ** KEPT: 676 (132,78) R(x,j) | -R(m,x) | P(m,k) | P(m,j). ** KEPT: 677 (132,76) R(x,f(k)) | -R(f(m),x) | P(m,k). ** KEPT: 678 (132,75) R(x,g(k)) | -R(g(m),x) | P(m,k). ** KEPT: 679 (132,74) R(x,f(m)) | -R(f(k),x) | P(m,k). ** KEPT: 680 (132,73) R(x,g(m)) | -R(g(k),x) | P(m,k). ** KEPT: 681 (132,71) R(x,k) | -R(y,x) | P(y,k) | -R(m,y). ** KEPT: 682 (132,69) R(x,y) | -R(k,x) | -R(y,m) | P(y,k). ** KEPT: 683 (132,64) R(x,y) | -R(k,x) | R(y,j) | -P(y,j). ** KEPT: 684 (132,64) R(x,j) | -R(y,x) | -P(y,j) | R(k,y). ** KEPT: 685 (132,59) R(x,y) | -R(j,x) | R(y,k) | -P(y,j). ** KEPT: 686 (132,59) R(x,k) | -R(y,x) | -P(y,j) | R(j,y). ** KEPT: 687 (132,45) R(x,f(j)) | -R(f(k),x) | P(k,j). ** KEPT: 688 (132,44) R(x,g(j)) | -R(g(k),x) | P(k,j). ** KEPT: 689 (132,43) R(x,f(k)) | -R(f(j),x) | P(k,j). ** KEPT: 690 (132,42) R(x,g(k)) | -R(g(j),x) | P(k,j). ** KEPT: 691 (132,40) R(x,j) | -R(y,x) | P(y,j) | -R(k,y). ** KEPT: 692 (132,39) R(x,y) | -R(j,x) | -R(y,k) | P(y,j). ** KEPT: 693 (132,29) R(x,g(y)) | -R(g(z),x) | -R(y,z). ** KEPT: 694 (132,26) R(x,f(y)) | -R(f(z),x) | -R(y,z). ** KEPT: 695 (132,23) R(x,g(y)) | -R(g(z),x) | -R(z,y). ** KEPT: 696 (132,22) R(x,f(y)) | -R(f(z),x) | -R(z,y). ** KEPT: 697 (132,19) R(x,y) | -R(z,x) | -R(z,u) | -R(u,y). ** KEPT: 698 (132,15) R(x,k) | -R(y,x) | -R(y,b) | P(y,k). ** KEPT: 699 (132,14) R(x,k) | -R(y,x) | -R(y,m) | P(y,k). ** KEPT: 700 (132,3) R(x,k) | -R(y,x) | R(y,j) | -P(y,j). ** KEPT: 701 (132,3) R(x,j) | -R(y,x) | R(y,k) | -P(y,j). ** KEPT: 702 (132,2) R(x,j) | -R(y,x) | -R(y,k) | P(y,j). ** KEPT: 703 (132,373) -R(x,k) | -R(x,m) | P(b,m). ** KEPT: 704 (132,368) -R(x,k) | -R(x,b) | P(m,b). ** KEPT: 705 (132,195) -R(x,k) | -R(x,m) | P(b,k). ** KEPT: 706 (132,190) -R(x,b) | -R(x,k) | P(m,k). ** KEPT: 707 (132,189) -R(x,y) | -R(x,m) | -R(b,y). ** KEPT: 708 (132,189) -R(x,y) | -R(x,b) | -R(m,y). ** KEPT: 709 (132,126) -R(x,y) | -R(x,j) | R(k,y) | P(k,j). ** KEPT: 710 (132,121) -R(x,y) | -R(x,k) | R(j,y) | P(k,j). ** KEPT: 711 (132,120) -R(x,y) | -R(x,k) | R(m,y) | P(m,k). ** KEPT: 712 (132,115) -R(x,y) | -R(x,m) | R(k,y) | P(m,k). ** KEPT: 713 (132,114) -R(x,y) | -R(x,k) | R(b,y) | P(b,k). ** KEPT: 714 (132,109) -R(x,y) | -R(x,b) | R(k,y) | P(b,k). ** KEPT: 715 (132,93) -R(x,y) | -R(x,b) | R(y,k) | P(y,k). ** KEPT: 716 (132,91) -R(x,b) | -R(x,y) | P(y,k) | R(k,y). ** KEPT: 717 (132,71) -R(x,y) | -R(x,m) | R(y,k) | P(y,k). ** KEPT: 718 (132,69) -R(x,m) | -R(x,y) | P(y,k) | R(k,y). ** KEPT: 719 (132,40) -R(x,y) | -R(x,k) | R(y,j) | P(y,j). ** KEPT: 720 (132,39) -R(x,k) | -R(x,y) | P(y,j) | R(j,y). ** KEPT: 721 (132,29) -R(x,y) | -R(x,z) | R(g(y),g(z)). ** KEPT: 722 (132,26) -R(x,y) | -R(x,z) | R(f(y),f(z)). ** KEPT: 723 (132,21) -R(x,y) | -R(x,z) | -P(u,z) | P(u,y). ** KEPT: 724 (132,20) -R(x,y) | -R(x,z) | -P(z,u) | P(y,u). ** KEPT: 725 (132,19) -R(x,y) | -R(x,z) | -R(u,z) | R(u,y). ** KEPT: 726 (132,100) -R(b,x) | R(j,x) | P(b,k) | P(b,j). ** KEPT: 727 (132,93) -R(x,y) | R(k,y) | P(x,k) | -R(b,x). ** KEPT: 728 (132,78) -R(m,x) | R(j,x) | P(m,k) | P(m,j). ** KEPT: 729 (132,71) -R(x,y) | R(k,y) | P(x,k) | -R(m,x). ** KEPT: 730 (132,64) -R(x,y) | R(j,y) | -P(x,j) | R(k,x). ** KEPT: 731 (132,59) -R(x,y) | R(k,y) | -P(x,j) | R(j,x). ** KEPT: 732 (132,40) -R(x,y) | R(j,y) | P(x,j) | -R(k,x). ** KEPT: 733 (693) R(x,g(g(x))) | -R(g(x),x). ** KEPT: 734 (694) R(x,f(f(x))) | -R(f(x),x). ** KEPT: 735 (698) R(b,k) | -R(x,b) | P(x,k). ** KEPT: 736 (699) R(m,k) | -R(x,m) | P(x,k). 702 back subsumes: 515 (91,39) P(j,k) | R(k,j) | -R(b,k) | P(b,j). 702 back subsumes: 470 (69,39) P(j,k) | R(k,j) | -R(m,k) | P(m,j). ** KEPT: 737 (702) R(k,j) | -R(x,k) | P(x,j). new given clause: 138 (19,99) -R(x,k) | R(x,b) | P(b,k). ** KEPT: 738 (138,132) R(x,b) | P(b,k) | -R(y,k) | -R(y,x). ** KEPT: 739 (138,59) R(x,b) | P(b,k) | -P(x,j) | R(j,x). ** KEPT: 740 (138,19) R(x,b) | P(b,k) | -R(x,y) | -R(y,k). ** KEPT: 741 (138,14) R(x,b) | P(b,k) | -R(x,m) | P(x,k). ** KEPT: 742 (138,3) R(x,b) | P(b,k) | R(x,j) | -P(x,j). ** KEPT: 743 (138,29) -R(x,k) | P(b,k) | R(g(b),g(x)). ** KEPT: 744 (138,26) -R(x,k) | P(b,k) | R(f(b),f(x)). ** KEPT: 745 (138,23) -R(x,k) | P(b,k) | R(g(x),g(b)). ** KEPT: 746 (138,22) -R(x,k) | P(b,k) | R(f(x),f(b)). ** KEPT: 747 (138,21) -R(x,k) | P(b,k) | -P(y,x) | P(y,b). ** KEPT: 748 (138,20) -R(x,k) | P(b,k) | -P(x,y) | P(b,y). ** KEPT: 749 (138,21) -R(x,k) | R(x,b) | -R(k,y) | P(b,y). ** KEPT: 750 (138,20) -R(x,k) | R(x,b) | -R(b,y) | P(y,k). new given clause: 143 (19,94) -R(x,b) | R(x,k) | P(b,k). ** KEPT: 751 (143,132) R(x,k) | P(b,k) | -R(y,b) | -R(y,x). ** KEPT: 752 (143,19) R(x,k) | P(b,k) | -R(x,y) | -R(y,b). ** KEPT: 753 (143,39) -R(x,b) | P(b,k) | P(x,j) | R(j,x). ** KEPT: 754 (143,29) -R(x,b) | P(b,k) | R(g(k),g(x)). ** KEPT: 755 (143,26) -R(x,b) | P(b,k) | R(f(k),f(x)). ** KEPT: 756 (143,23) -R(x,b) | P(b,k) | R(g(x),g(k)). ** KEPT: 757 (143,22) -R(x,b) | P(b,k) | R(f(x),f(k)). ** KEPT: 758 (143,21) -R(x,b) | P(b,k) | -P(y,x) | P(y,k). ** KEPT: 759 (143,20) -R(x,b) | P(b,k) | -P(x,y) | P(k,y). ** KEPT: 760 (143,2) -R(x,b) | P(b,k) | R(x,j) | P(x,j). ** KEPT: 761 (143,21) -R(x,b) | R(x,k) | -R(k,y) | P(b,y). ** KEPT: 762 (143,20) -R(x,b) | R(x,k) | -R(b,y) | P(y,k). new given clause: 144 (19,77) -R(x,k) | R(x,m) | P(m,k). ** KEPT: 763 (144,132) R(x,m) | P(m,k) | -R(y,k) | -R(y,x). ** KEPT: 764 (144,59) R(x,m) | P(m,k) | -P(x,j) | R(j,x). ** KEPT: 765 (144,19) R(x,m) | P(m,k) | -R(x,y) | -R(y,k). ** KEPT: 766 (144,15) R(x,m) | P(m,k) | -R(x,b) | P(x,k). ** KEPT: 767 (144,3) R(x,m) | P(m,k) | R(x,j) | -P(x,j). ** KEPT: 768 (144,29) -R(x,k) | P(m,k) | R(g(m),g(x)). ** KEPT: 769 (144,26) -R(x,k) | P(m,k) | R(f(m),f(x)). ** KEPT: 770 (144,23) -R(x,k) | P(m,k) | R(g(x),g(m)). ** KEPT: 771 (144,22) -R(x,k) | P(m,k) | R(f(x),f(m)). ** KEPT: 772 (144,21) -R(x,k) | P(m,k) | -P(y,x) | P(y,m). ** KEPT: 773 (144,20) -R(x,k) | P(m,k) | -P(x,y) | P(m,y). ** KEPT: 774 (144,21) -R(x,k) | R(x,m) | -R(k,y) | P(m,y). ** KEPT: 775 (144,20) -R(x,k) | R(x,m) | -R(m,y) | P(y,k). new given clause: 149 (19,72) -R(x,m) | R(x,k) | P(m,k). ** KEPT: 776 (149,132) R(x,k) | P(m,k) | -R(y,m) | -R(y,x). ** KEPT: 777 (149,19) R(x,k) | P(m,k) | -R(x,y) | -R(y,m). ** KEPT: 778 (149,39) -R(x,m) | P(m,k) | P(x,j) | R(j,x). ** KEPT: 779 (149,29) -R(x,m) | P(m,k) | R(g(k),g(x)). ** KEPT: 780 (149,26) -R(x,m) | P(m,k) | R(f(k),f(x)). ** KEPT: 781 (149,23) -R(x,m) | P(m,k) | R(g(x),g(k)). ** KEPT: 782 (149,22) -R(x,m) | P(m,k) | R(f(x),f(k)). ** KEPT: 783 (149,21) -R(x,m) | P(m,k) | -P(y,x) | P(y,k). ** KEPT: 784 (149,20) -R(x,m) | P(m,k) | -P(x,y) | P(k,y). ** KEPT: 785 (149,2) -R(x,m) | P(m,k) | R(x,j) | P(x,j). ** KEPT: 786 (149,21) -R(x,m) | R(x,k) | -R(k,y) | P(m,y). ** KEPT: 787 (149,20) -R(x,m) | R(x,k) | -R(m,y) | P(y,k). new given clause: 150 (19,46) -R(x,j) | R(x,k) | P(k,j). ** KEPT: 788 (150,132) R(x,k) | P(k,j) | -R(y,j) | -R(y,x). ** KEPT: 789 (150,19) R(x,k) | P(k,j) | -R(x,y) | -R(y,j). ** KEPT: 790 (150,3) R(x,k) | P(k,j) | -P(x,j). ** KEPT: 791 (150,373) -R(m,j) | P(k,j) | P(b,m). ** KEPT: 792 (150,368) -R(b,j) | P(k,j) | P(m,b). ** KEPT: 793 (150,195) -R(m,j) | P(k,j) | P(b,k). ** KEPT: 794 (150,189) -R(m,j) | P(k,j) | -R(b,k). ** KEPT: 795 (150,189) -R(b,j) | P(k,j) | -R(m,k). ** KEPT: 796 (150,188) -R(b,j) | P(k,j) | P(m,k). ** KEPT: 797 (150,144) -R(x,j) | P(k,j) | R(x,m) | P(m,k). ** KEPT: 798 (150,138) -R(x,j) | P(k,j) | R(x,b) | P(b,k). ** KEPT: 799 (150,29) -R(x,j) | P(k,j) | R(g(k),g(x)). ** KEPT: 800 (150,26) -R(x,j) | P(k,j) | R(f(k),f(x)). ** KEPT: 801 (150,23) -R(x,j) | P(k,j) | R(g(x),g(k)). ** KEPT: 802 (150,22) -R(x,j) | P(k,j) | R(f(x),f(k)). ** KEPT: 803 (150,21) -R(x,j) | P(k,j) | -P(y,x) | P(y,k). ** KEPT: 804 (150,20) -R(x,j) | P(k,j) | -P(x,y) | P(k,y). ** KEPT: 805 (150,21) -R(x,j) | R(x,k) | -R(j,y) | P(k,y). ** KEPT: 806 (150,20) -R(x,j) | R(x,k) | -R(k,y) | P(y,j). 790 back subsumes: 640 (126,59) R(k,x) | P(k,j) | R(x,k) | -P(x,j). new given clause: 155 (19,41) -R(x,k) | R(x,j) | P(k,j). ** KEPT: 807 (155,149) R(x,j) | P(k,j) | -R(x,m) | P(m,k). ** KEPT: 808 (155,143) R(x,j) | P(k,j) | -R(x,b) | P(b,k). ** KEPT: 809 (155,132) R(x,j) | P(k,j) | -R(y,k) | -R(y,x). ** KEPT: 810 (155,93) R(x,j) | P(k,j) | P(x,k) | -R(b,x). ** KEPT: 811 (155,71) R(x,j) | P(k,j) | P(x,k) | -R(m,x). ** KEPT: 812 (155,19) R(x,j) | P(k,j) | -R(x,y) | -R(y,k). ** KEPT: 813 (155,15) R(x,j) | P(k,j) | -R(x,b) | P(x,k). ** KEPT: 814 (155,14) R(x,j) | P(k,j) | -R(x,m) | P(x,k). ** KEPT: 815 (155,29) -R(x,k) | P(k,j) | R(g(j),g(x)). ** KEPT: 816 (155,26) -R(x,k) | P(k,j) | R(f(j),f(x)). ** KEPT: 817 (155,23) -R(x,k) | P(k,j) | R(g(x),g(j)). ** KEPT: 818 (155,22) -R(x,k) | P(k,j) | R(f(x),f(j)). ** KEPT: 819 (155,21) -R(x,k) | P(k,j) | -P(y,x) | P(y,j). ** KEPT: 820 (155,20) -R(x,k) | P(k,j) | -P(x,y) | P(j,y). ** KEPT: 821 (155,21) -R(x,k) | R(x,j) | -R(j,y) | P(k,y). ** KEPT: 822 (155,20) -R(x,k) | R(x,j) | -R(k,y) | P(y,j). new given clause: 160 (19,18) -R(x,y) | R(x,z) | -R(z,y). ** KEPT: 823 (160,160) R(x,y) | -R(y,z) | -R(x,u) | -R(z,u). ** KEPT: 824 (160,155) R(x,y) | -R(y,j) | -R(x,k) | P(k,j). ** KEPT: 825 (160,150) R(x,y) | -R(y,k) | -R(x,j) | P(k,j). ** KEPT: 826 (160,149) R(x,y) | -R(y,k) | -R(x,m) | P(m,k). ** KEPT: 827 (160,144) R(x,y) | -R(y,m) | -R(x,k) | P(m,k). ** KEPT: 828 (160,143) R(x,y) | -R(y,k) | -R(x,b) | P(b,k). ** KEPT: 829 (160,138) R(x,y) | -R(y,b) | -R(x,k) | P(b,k). ** KEPT: 830 (160,132) R(x,y) | -R(y,z) | -R(u,z) | -R(u,x). ** KEPT: 831 (160,126) R(k,x) | -R(x,y) | -R(j,y) | P(k,j). ** KEPT: 832 (160,121) R(j,x) | -R(x,y) | -R(k,y) | P(k,j). ** KEPT: 833 (160,120) R(m,x) | -R(x,y) | -R(k,y) | P(m,k). ** KEPT: 834 (160,115) R(k,x) | -R(x,y) | -R(m,y) | P(m,k). ** KEPT: 835 (160,114) R(b,x) | -R(x,y) | -R(k,y) | P(b,k). ** KEPT: 836 (160,109) R(k,x) | -R(x,y) | -R(b,y) | P(b,k). ** KEPT: 837 (160,100) R(b,x) | -R(x,j) | P(b,k) | P(b,j). ** KEPT: 838 (160,98) R(f(b),x) | -R(x,f(k)) | P(b,k). ** KEPT: 839 (160,97) R(g(b),x) | -R(x,g(k)) | P(b,k). ** KEPT: 840 (160,96) R(f(k),x) | -R(x,f(b)) | P(b,k). ** KEPT: 841 (160,95) R(g(k),x) | -R(x,g(b)) | P(b,k). ** KEPT: 842 (160,93) R(x,y) | -R(y,k) | P(x,k) | -R(b,x). ** KEPT: 843 (160,91) R(k,x) | -R(x,y) | -R(y,b) | P(y,k). ** KEPT: 844 (160,78) R(m,x) | -R(x,j) | P(m,k) | P(m,j). ** KEPT: 845 (160,76) R(f(m),x) | -R(x,f(k)) | P(m,k). ** KEPT: 846 (160,75) R(g(m),x) | -R(x,g(k)) | P(m,k). ** KEPT: 847 (160,74) R(f(k),x) | -R(x,f(m)) | P(m,k). ** KEPT: 848 (160,73) R(g(k),x) | -R(x,g(m)) | P(m,k). ** KEPT: 849 (160,71) R(x,y) | -R(y,k) | P(x,k) | -R(m,x). ** KEPT: 850 (160,69) R(k,x) | -R(x,y) | -R(y,m) | P(y,k). ** KEPT: 851 (160,64) R(k,x) | -R(x,y) | R(y,j) | -P(y,j). ** KEPT: 852 (160,64) R(x,y) | -R(y,j) | -P(x,j) | R(k,x). ** KEPT: 853 (160,59) R(j,x) | -R(x,y) | R(y,k) | -P(y,j). ** KEPT: 854 (160,59) R(x,y) | -R(y,k) | -P(x,j) | R(j,x). ** KEPT: 855 (160,45) R(f(k),x) | -R(x,f(j)) | P(k,j). ** KEPT: 856 (160,44) R(g(k),x) | -R(x,g(j)) | P(k,j). ** KEPT: 857 (160,43) R(f(j),x) | -R(x,f(k)) | P(k,j). ** KEPT: 858 (160,42) R(g(j),x) | -R(x,g(k)) | P(k,j). ** KEPT: 859 (160,40) R(x,y) | -R(y,j) | P(x,j) | -R(k,x). ** KEPT: 860 (160,39) R(j,x) | -R(x,y) | -R(y,k) | P(y,j). ** KEPT: 861 (160,29) R(g(x),y) | -R(y,g(z)) | -R(z,x). ** KEPT: 862 (160,26) R(f(x),y) | -R(y,f(z)) | -R(z,x). ** KEPT: 863 (160,23) R(g(x),y) | -R(y,g(z)) | -R(x,z). ** KEPT: 864 (160,22) R(f(x),y) | -R(y,f(z)) | -R(x,z). ** KEPT: 865 (160,19) R(x,y) | -R(y,z) | -R(x,u) | -R(u,z). ** KEPT: 866 (160,15) R(x,y) | -R(y,k) | -R(x,b) | P(x,k). ** KEPT: 867 (160,14) R(x,y) | -R(y,k) | -R(x,m) | P(x,k). ** KEPT: 868 (160,3) R(x,y) | -R(y,k) | R(x,j) | -P(x,j). ** KEPT: 869 (160,3) R(x,y) | -R(y,j) | R(x,k) | -P(x,j). ** KEPT: 870 (160,2) R(x,y) | -R(y,j) | -R(x,k) | P(x,j). ** KEPT: 871 (160,373) -R(m,x) | -R(k,x) | P(b,m). ** KEPT: 872 (160,368) -R(b,x) | -R(k,x) | P(m,b). ** KEPT: 873 (160,155) -R(x,y) | -R(k,y) | R(x,j) | P(k,j). ** KEPT: 874 (160,150) -R(x,y) | -R(j,y) | R(x,k) | P(k,j). ** KEPT: 875 (160,149) -R(x,y) | -R(m,y) | R(x,k) | P(m,k). ** KEPT: 876 (160,144) -R(x,y) | -R(k,y) | R(x,m) | P(m,k). ** KEPT: 877 (160,143) -R(x,y) | -R(b,y) | R(x,k) | P(b,k). ** KEPT: 878 (160,138) -R(x,y) | -R(k,y) | R(x,b) | P(b,k). ** KEPT: 879 (160,93) -R(b,x) | -R(y,x) | R(y,k) | P(y,k). ** KEPT: 880 (160,91) -R(x,y) | -R(b,y) | P(x,k) | R(k,x). ** KEPT: 881 (160,71) -R(m,x) | -R(y,x) | R(y,k) | P(y,k). ** KEPT: 882 (160,69) -R(x,y) | -R(m,y) | P(x,k) | R(k,x). ** KEPT: 883 (160,40) -R(k,x) | -R(y,x) | R(y,j) | P(y,j). ** KEPT: 884 (160,39) -R(x,y) | -R(k,y) | P(x,j) | R(j,x). ** KEPT: 885 (160,29) -R(x,y) | -R(z,y) | R(g(z),g(x)). ** KEPT: 886 (160,26) -R(x,y) | -R(z,y) | R(f(z),f(x)). ** KEPT: 887 (160,21) -R(x,y) | -R(z,y) | -P(u,x) | P(u,z). ** KEPT: 888 (160,20) -R(x,y) | -R(z,y) | -P(x,u) | P(z,u). ** KEPT: 889 (160,100) -R(x,j) | R(x,b) | P(b,k) | P(b,j). ** KEPT: 890 (160,93) -R(x,k) | R(x,y) | P(y,k) | -R(b,y). ** KEPT: 891 (160,78) -R(x,j) | R(x,m) | P(m,k) | P(m,j). ** KEPT: 892 (160,71) -R(x,k) | R(x,y) | P(y,k) | -R(m,y). ** KEPT: 893 (160,64) -R(x,j) | R(x,y) | -P(y,j) | R(k,y). ** KEPT: 894 (160,59) -R(x,k) | R(x,y) | -P(y,j) | R(j,y). ** KEPT: 895 (160,40) -R(x,j) | R(x,y) | P(y,j) | -R(k,y). ** KEPT: 896 (861) R(g(g(x)),x) | -R(x,g(x)). ** KEPT: 897 (862) R(f(f(x)),x) | -R(x,f(x)). ** KEPT: 898 (868) R(x,j) | -R(j,k) | -P(x,j). ** KEPT: 899 (869) R(x,k) | -R(k,j) | -P(x,j). ** KEPT: 900 (893) -R(k,j) | R(k,x) | -P(x,j). ** KEPT: 901 (894) -R(j,k) | R(j,x) | -P(x,j). new given clause: 171 (19,18) -R(x,y) | -R(y,z) | R(z,x). ** KEPT: 902 (171,155) -R(j,x) | R(x,y) | -R(y,k) | P(k,j). ** KEPT: 903 (171,150) -R(k,x) | R(x,y) | -R(y,j) | P(k,j). ** KEPT: 904 (171,149) -R(k,x) | R(x,y) | -R(y,m) | P(m,k). ** KEPT: 905 (171,144) -R(m,x) | R(x,y) | -R(y,k) | P(m,k). ** KEPT: 906 (171,143) -R(k,x) | R(x,y) | -R(y,b) | P(b,k). ** KEPT: 907 (171,138) -R(b,x) | R(x,y) | -R(y,k) | P(b,k). ** KEPT: 908 (171,126) -R(x,y) | R(y,k) | -R(j,x) | P(k,j). ** KEPT: 909 (171,121) -R(x,y) | R(y,j) | -R(k,x) | P(k,j). ** KEPT: 910 (171,120) -R(x,y) | R(y,m) | -R(k,x) | P(m,k). ** KEPT: 911 (171,115) -R(x,y) | R(y,k) | -R(m,x) | P(m,k). ** KEPT: 912 (171,114) -R(x,y) | R(y,b) | -R(k,x) | P(b,k). ** KEPT: 913 (171,109) -R(x,y) | R(y,k) | -R(b,x) | P(b,k). ** KEPT: 914 (171,100) -R(j,x) | R(x,b) | P(b,k) | P(b,j). ** KEPT: 915 (171,93) -R(k,x) | R(x,y) | P(y,k) | -R(b,y). ** KEPT: 916 (171,78) -R(j,x) | R(x,m) | P(m,k) | P(m,j). ** KEPT: 917 (171,71) -R(k,x) | R(x,y) | P(y,k) | -R(m,y). ** KEPT: 918 (171,64) -R(j,x) | R(x,y) | -P(y,j) | R(k,y). ** KEPT: 919 (171,59) -R(k,x) | R(x,y) | -P(y,j) | R(j,y). ** KEPT: 920 (171,40) -R(j,x) | R(x,y) | P(y,j) | -R(k,y). ** KEPT: 921 (171,19) -R(x,y) | R(y,z) | -R(z,u) | -R(u,x). ** KEPT: 922 (171,155) -R(x,y) | R(j,x) | -R(y,k) | P(k,j). ** KEPT: 923 (171,150) -R(x,y) | R(k,x) | -R(y,j) | P(k,j). ** KEPT: 924 (171,149) -R(x,y) | R(k,x) | -R(y,m) | P(m,k). ** KEPT: 925 (171,144) -R(x,y) | R(m,x) | -R(y,k) | P(m,k). ** KEPT: 926 (171,143) -R(x,y) | R(k,x) | -R(y,b) | P(b,k). ** KEPT: 927 (171,138) -R(x,y) | R(b,x) | -R(y,k) | P(b,k). ** KEPT: 928 (171,100) -R(x,b) | R(j,x) | P(b,k) | P(b,j). ** KEPT: 929 (171,93) -R(x,y) | R(k,x) | P(y,k) | -R(b,y). ** KEPT: 930 (171,78) -R(x,m) | R(j,x) | P(m,k) | P(m,j). ** KEPT: 931 (171,71) -R(x,y) | R(k,x) | P(y,k) | -R(m,y). ** KEPT: 932 (171,64) -R(x,y) | R(j,x) | -P(y,j) | R(k,y). ** KEPT: 933 (171,59) -R(x,y) | R(k,x) | -P(y,j) | R(j,y). ** KEPT: 934 (171,40) -R(x,y) | R(j,x) | P(y,j) | -R(k,y). ** KEPT: 935 (171,91) -R(b,x) | -R(x,y) | P(y,k) | R(k,y). ** KEPT: 936 (171,69) -R(m,x) | -R(x,y) | P(y,k) | R(k,y). ** KEPT: 937 (171,39) -R(k,x) | -R(x,y) | P(y,j) | R(j,y). ** KEPT: 938 (171,21) -R(x,y) | -R(y,z) | -P(u,z) | P(u,x). ** KEPT: 939 (171,20) -R(x,y) | -R(y,z) | -P(z,u) | P(x,u). ** KEPT: 940 (918) -R(j,k) | R(k,x) | -P(x,j). ** KEPT: 941 (919) -R(k,j) | R(j,x) | -P(x,j). new given clause: 176 (129) -R(g(x),x) | R(g(g(x)),x). ** KEPT: 942 (176,171) R(g(g(x)),x) | -R(x,y) | -R(y,g(x)). ** KEPT: 943 (176,160) R(g(g(x)),x) | -R(g(x),y) | -R(x,y). ** KEPT: 944 (176,155) R(g(g(j)),j) | -R(g(j),k) | P(k,j). ** KEPT: 945 (176,150) R(g(g(k)),k) | -R(g(k),j) | P(k,j). ** KEPT: 946 (176,149) R(g(g(k)),k) | -R(g(k),m) | P(m,k). ** KEPT: 947 (176,144) R(g(g(m)),m) | -R(g(m),k) | P(m,k). ** KEPT: 948 (176,143) R(g(g(k)),k) | -R(g(k),b) | P(b,k). ** KEPT: 949 (176,138) R(g(g(b)),b) | -R(g(b),k) | P(b,k). ** KEPT: 950 (176,132) R(g(g(x)),x) | -R(y,x) | -R(y,g(x)). ** KEPT: 951 (176,93) R(g(g(k)),k) | P(g(k),k) | -R(b,g(k)). ** KEPT: 952 (176,71) R(g(g(k)),k) | P(g(k),k) | -R(m,g(k)). ** KEPT: 953 (176,64) R(g(g(j)),j) | -P(g(j),j) | R(k,g(j)). ** KEPT: 954 (176,59) R(g(g(k)),k) | -P(g(k),j) | R(j,g(k)). ** KEPT: 955 (176,40) R(g(g(j)),j) | P(g(j),j) | -R(k,g(j)). ** KEPT: 956 (176,29) R(g(g(g(x))),g(x)) | -R(x,g(x)). ** KEPT: 957 (176,23) R(g(g(g(x))),g(x)) | -R(g(x),x). ** KEPT: 958 (176,19) R(g(g(x)),x) | -R(g(x),y) | -R(y,x). ** KEPT: 959 (176,15) R(g(g(k)),k) | -R(g(k),b) | P(g(k),k). ** KEPT: 960 (176,14) R(g(g(k)),k) | -R(g(k),m) | P(g(k),k). ** KEPT: 961 (176,3) R(g(g(k)),k) | R(g(k),j) | -P(g(k),j). ** KEPT: 962 (176,3) R(g(g(j)),j) | R(g(j),k) | -P(g(j),j). ** KEPT: 963 (176,2) R(g(g(j)),j) | -R(g(j),k) | P(g(j),j). ** KEPT: 964 (176,184) -R(g(b),b) | -R(g(g(b)),m). ** KEPT: 965 (176,184) -R(g(m),m) | -R(g(g(m)),b). ** KEPT: 966 (176,175) -R(g(b),b) | -R(m,g(g(b))). ** KEPT: 967 (176,171) -R(g(x),x) | -R(y,g(g(x))) | R(x,y). ** KEPT: 968 (176,171) -R(g(x),x) | -R(x,y) | R(y,g(g(x))). ** KEPT: 969 (176,168) -R(g(m),m) | -R(b,g(g(m))). ** KEPT: 970 (176,160) -R(g(x),x) | -R(y,x) | R(y,g(g(x))). ** KEPT: 971 (176,160) -R(g(x),x) | R(g(g(x)),y) | -R(y,x). ** KEPT: 972 (176,155) -R(g(k),k) | R(g(g(k)),j) | P(k,j). ** KEPT: 973 (176,150) -R(g(j),j) | R(g(g(j)),k) | P(k,j). ** KEPT: 974 (176,149) -R(g(m),m) | R(g(g(m)),k) | P(m,k). ** KEPT: 975 (176,144) -R(g(k),k) | R(g(g(k)),m) | P(m,k). ** KEPT: 976 (176,143) -R(g(b),b) | R(g(g(b)),k) | P(b,k). ** KEPT: 977 (176,138) -R(g(k),k) | R(g(g(k)),b) | P(b,k). ** KEPT: 978 (176,132) -R(g(x),x) | -R(g(g(x)),y) | R(x,y). ** KEPT: 979 (176,132) -R(g(x),x) | R(y,x) | -R(g(g(x)),y). ** KEPT: 980 (176,91) -R(g(b),b) | P(g(g(b)),k) | R(k,g(g(b))). ** KEPT: 981 (176,69) -R(g(m),m) | P(g(g(m)),k) | R(k,g(g(m))). ** KEPT: 982 (176,39) -R(g(k),k) | P(g(g(k)),j) | R(j,g(g(k))). ** KEPT: 983 (176,29) -R(g(x),x) | R(g(x),g(g(g(x)))). ** KEPT: 984 (176,26) -R(g(x),x) | R(f(x),f(g(g(x)))). ** KEPT: 985 (176,22) -R(g(x),x) | R(f(g(g(x))),f(x)). ** KEPT: 986 (176,21) -R(g(x),x) | -P(y,g(g(x))) | P(y,x). ** KEPT: 987 (176,20) -R(g(x),x) | -P(g(g(x)),y) | P(x,y). ** KEPT: 988 (176,19) -R(g(x),x) | -R(y,g(g(x))) | R(y,x). ** KEPT: 989 (176,19) -R(g(x),x) | -R(x,y) | R(g(g(x)),y). ** KEPT: 990 (176,15) -R(g(b),b) | R(g(g(b)),k) | P(g(g(b)),k). ** KEPT: 991 (176,14) -R(g(m),m) | R(g(g(m)),k) | P(g(g(m)),k). ** KEPT: 992 (176,2) -R(g(k),k) | R(g(g(k)),j) | P(g(g(k)),j). new given clause: 177 (130) -R(f(x),x) | R(f(f(x)),x). ** KEPT: 993 (177,171) R(f(f(x)),x) | -R(x,y) | -R(y,f(x)). ** KEPT: 994 (177,160) R(f(f(x)),x) | -R(f(x),y) | -R(x,y). ** KEPT: 995 (177,155) R(f(f(j)),j) | -R(f(j),k) | P(k,j). ** KEPT: 996 (177,150) R(f(f(k)),k) | -R(f(k),j) | P(k,j). ** KEPT: 997 (177,149) R(f(f(k)),k) | -R(f(k),m) | P(m,k). ** KEPT: 998 (177,144) R(f(f(m)),m) | -R(f(m),k) | P(m,k). ** KEPT: 999 (177,143) R(f(f(k)),k) | -R(f(k),b) | P(b,k). ** KEPT: 1000 (177,138) R(f(f(b)),b) | -R(f(b),k) | P(b,k). ** KEPT: 1001 (177,132) R(f(f(x)),x) | -R(y,x) | -R(y,f(x)). ** KEPT: 1002 (177,93) R(f(f(k)),k) | P(f(k),k) | -R(b,f(k)). ** KEPT: 1003 (177,71) R(f(f(k)),k) | P(f(k),k) | -R(m,f(k)). ** KEPT: 1004 (177,64) R(f(f(j)),j) | -P(f(j),j) | R(k,f(j)). ** KEPT: 1005 (177,59) R(f(f(k)),k) | -P(f(k),j) | R(j,f(k)). ** KEPT: 1006 (177,40) R(f(f(j)),j) | P(f(j),j) | -R(k,f(j)). ** KEPT: 1007 (177,26) R(f(f(f(x))),f(x)) | -R(x,f(x)). ** KEPT: 1008 (177,22) R(f(f(f(x))),f(x)) | -R(f(x),x). ** KEPT: 1009 (177,19) R(f(f(x)),x) | -R(f(x),y) | -R(y,x). ** KEPT: 1010 (177,15) R(f(f(k)),k) | -R(f(k),b) | P(f(k),k). ** KEPT: 1011 (177,14) R(f(f(k)),k) | -R(f(k),m) | P(f(k),k). ** KEPT: 1012 (177,3) R(f(f(k)),k) | R(f(k),j) | -P(f(k),j). ** KEPT: 1013 (177,3) R(f(f(j)),j) | R(f(j),k) | -P(f(j),j). ** KEPT: 1014 (177,2) R(f(f(j)),j) | -R(f(j),k) | P(f(j),j). ** KEPT: 1015 (177,184) -R(f(b),b) | -R(f(f(b)),m). ** KEPT: 1016 (177,184) -R(f(m),m) | -R(f(f(m)),b). ** KEPT: 1017 (177,175) -R(f(b),b) | -R(m,f(f(b))). ** KEPT: 1018 (177,171) -R(f(x),x) | -R(y,f(f(x))) | R(x,y). ** KEPT: 1019 (177,171) -R(f(x),x) | -R(x,y) | R(y,f(f(x))). ** KEPT: 1020 (177,168) -R(f(m),m) | -R(b,f(f(m))). ** KEPT: 1021 (177,160) -R(f(x),x) | -R(y,x) | R(y,f(f(x))). ** KEPT: 1022 (177,160) -R(f(x),x) | R(f(f(x)),y) | -R(y,x). ** KEPT: 1023 (177,155) -R(f(k),k) | R(f(f(k)),j) | P(k,j). ** KEPT: 1024 (177,150) -R(f(j),j) | R(f(f(j)),k) | P(k,j). ** KEPT: 1025 (177,149) -R(f(m),m) | R(f(f(m)),k) | P(m,k). ** KEPT: 1026 (177,144) -R(f(k),k) | R(f(f(k)),m) | P(m,k). ** KEPT: 1027 (177,143) -R(f(b),b) | R(f(f(b)),k) | P(b,k). ** KEPT: 1028 (177,138) -R(f(k),k) | R(f(f(k)),b) | P(b,k). ** KEPT: 1029 (177,132) -R(f(x),x) | -R(f(f(x)),y) | R(x,y). ** KEPT: 1030 (177,132) -R(f(x),x) | R(y,x) | -R(f(f(x)),y). ** KEPT: 1031 (177,91) -R(f(b),b) | P(f(f(b)),k) | R(k,f(f(b))). ** KEPT: 1032 (177,69) -R(f(m),m) | P(f(f(m)),k) | R(k,f(f(m))). ** KEPT: 1033 (177,39) -R(f(k),k) | P(f(f(k)),j) | R(j,f(f(k))). ** KEPT: 1034 (177,29) -R(f(x),x) | R(g(x),g(f(f(x)))). ** KEPT: 1035 (177,26) -R(f(x),x) | R(f(x),f(f(f(x)))). ** KEPT: 1036 (177,23) -R(f(x),x) | R(g(f(f(x))),g(x)). ** KEPT: 1037 (177,21) -R(f(x),x) | -P(y,f(f(x))) | P(y,x). ** KEPT: 1038 (177,20) -R(f(x),x) | -P(f(f(x)),y) | P(x,y). ** KEPT: 1039 (177,19) -R(f(x),x) | -R(y,f(f(x))) | R(y,x). ** KEPT: 1040 (177,19) -R(f(x),x) | -R(x,y) | R(f(f(x)),y). ** KEPT: 1041 (177,15) -R(f(b),b) | R(f(f(b)),k) | P(f(f(b)),k). ** KEPT: 1042 (177,14) -R(f(m),m) | R(f(f(m)),k) | P(f(f(m)),k). ** KEPT: 1043 (177,2) -R(f(k),k) | R(f(f(k)),j) | P(f(f(k)),j). ------------ END OF SEARCH ------------ search stopped by max_kept option. --------------- options --------------- set(binary_res). set(demod_hist). set(for_sub). set(Unit_deletion). set(print_kept). set(factor). set(back_sub). set(print_back_sub). set(print_given). set(check_arity). clear(hyper_res). clear(UR_res). clear(para_from). clear(para_into). clear(demod_inf). clear(para_from_left). clear(para_from_right). clear(para_into_vars). clear(para_from_vars). clear(para_all). clear(para_ones_rule). clear(no_para_into_left). clear(no_para_into_right). clear(demod_linear). clear(print_gen). clear(sort_literals). clear(print_weight). clear(sos_fifo). clear(bird_print). clear(atom_wt_max_args). clear(print_lists_at_end). clear(free_all_mem). clear(for_sub_fpa). clear(no_fapl). clear(no_fanl). assign(report, 0). assign(max_seconds, 0). assign(max_given, 0). assign(max_kept, 1000). assign(max_gen, 0). assign(max_mem, 0). assign(max_weight, 0). assign(max_literals, 0). assign(fpa_literals, 4). assign(fpa_terms, 4). assign(demod_limit, 100). assign(max_proofs, 1). assign(neg_weight, 0). ------------- memory usage ------------ 14 mallocs of 32700 bytes each (447.1+ K) type (bytes each) gets frees in use avail bytes sym_ent ( 64) 23 0 23 0 1.4 K term ( 16) 24752 21290 3462 11 54.3 K rel ( 20) 16994 10146 6848 8 133.9 K term_ptr ( 8) 15283 96 15187 0 118.6 K fpa_head ( 12) 126 0 126 0 1.5 K fpa_tree ( 28) 4852 4852 0 9 0.2 K context ( 260) 5477 5477 0 3 0.8 K trail ( 12) 218767 218767 0 4 0.0 K imd_tree ( 24) 0 0 0 0 0.0 K imd_pos ( 416) 0 0 0 0 0.0 K is_tree ( 12) 685 0 685 0 8.0 K is_pos (1216) 89603 89603 0 2 2.4 K fsub_pos ( 8) 8129 8129 0 1 0.0 K literal ( 16) 7752 4352 3400 2 53.2 K clause ( 28) 2391 1348 1043 1 28.5 K list ( 60) 2 0 2 0 0.1 K clash_nd ( 32) 0 0 0 0 0.0 K clause_ptr ( 8) 1050 7 1043 0 8.1 K int_ptr ( 8) 4411 2426 1985 1 15.5 K -------------- statistics ------------- clauses input 23 clauses given 81 clauses generated 2367 demodulation rewrites 0 clauses wt or lit delete 0 tautologies deleted 114 clauses forward subsumed 1233 (clauses subsumed by sos) 731 unit deletions 0 clauses kept 1020 empty clauses 0 factors generated 323 clauses back subsumed 7 clauses not processed 0 ----------- times (seconds) ----------- run time 421.62 input time 0.85 binary_res time 6.94 hyper_res time 0.00 UR_res time 0.00 para_into time 0.00 para_from time 0.00 pre_process time 329.47 demod time 0.00 weigh time 0.81 for_sub time 260.12 unit_del time 48.00 post_process time 99.08 back_sub time 80.51 conflict time 0.17 factor time 17.74 FPA build time 3.52 IS build time 1.93 print_cl time 8.04 cl integrate time 2.07 window time 0.00 SHAR_EOF # End of shell archive exit 0