0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.12 % Command : run_vampire %s %d SAT 0.12/0.33 % Computer : n009.cluster.edu 0.12/0.33 % Model : x86_64 x86_64 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.33 % Memory : 8042.1875MB 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.33 % CPULimit : 960 0.12/0.33 % WCLimit : 120 0.12/0.33 % DateTime : Wed Jul 30 06:46:19 EDT 2025 0.12/0.33 % CPUTime : 0.19/0.35 This is a TFF_ problem 0.19/0.36 Running first-order model finding 0.19/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.22/0.44 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.44 % (16028)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=973221840:i=116_1199 on theBenchmark for (1199ds/116Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16024)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2906789891_1199 on theBenchmark for (1199ds/0Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16029)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4193927760:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16027)dis+10_1_sil=32000:sp=arity:random_seed=3689492804:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16025)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=3258656634:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16030)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=929646143:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.22/0.45 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.45 % (16026)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2707968756:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.22/0.49 % (16028)Instruction limit reached! 0.22/0.49 % (16028)------------------------------ 0.22/0.49 % (16028)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.49 % (16028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.49 % (16028)Termination reason: Instruction limit 0.22/0.49 % (16028)Termination phase: Blocked clause elimination 0.22/0.49 0.22/0.49 % (16028)Time elapsed: 0.045 s 0.22/0.49 % (16028)Peak memory usage: 9 MB 0.22/0.49 % (16028)Instructions burned: 117 (million) 0.22/0.50 % (16027)Instruction limit reached! 0.22/0.50 % (16027)------------------------------ 0.22/0.50 % (16027)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.50 % (16027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.50 % (16027)Termination reason: Instruction limit 0.22/0.50 % (16027)Termination phase: Saturation 0.22/0.50 0.22/0.50 % (16027)Time elapsed: 0.042 s 0.22/0.50 % (16027)Peak memory usage: 10 MB 0.22/0.50 % (16027)Instructions burned: 104 (million) 0.22/0.51 % (16029)Instruction limit reached! 0.22/0.51 % (16029)------------------------------ 0.22/0.51 % (16029)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.51 % (16029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.51 % (16029)Termination reason: Instruction limit 0.22/0.51 % (16029)Termination phase: Saturation 0.22/0.51 0.22/0.51 % (16029)Time elapsed: 0.059 s 0.22/0.51 % (16029)Peak memory usage: 11 MB 0.22/0.51 % (16029)Instructions burned: 131 (million) 0.22/0.52 % (16030)Instruction limit reached! 0.22/0.52 % (16030)------------------------------ 0.22/0.52 % (16030)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.22/0.52 % (16030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.22/0.52 % (16030)Termination reason: Instruction limit 0.22/0.52 % (16030)Termination phase: Saturation 0.22/0.52 0.22/0.52 % (16030)Time elapsed: 0.071 s 0.22/0.52 % (16030)Peak memory usage: 12 MB 0.22/0.52 % (16030)Instructions burned: 160 (million) 0.22/0.54 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (16038)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3192897325:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 0.22/0.54 % (16016)Running in auto input_syntax mode. Trying TPTP 0.22/0.54 % (16039)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2403861023:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 1.42/0.56 % (16016)Running in auto input_syntax mode. Trying TPTP 1.42/0.56 % (16040)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3051424607:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 1.42/0.57 % (16016)Running in auto input_syntax mode. Trying TPTP 1.42/0.57 % (16041)ott-21_1_sil=16000:fs=off:random_seed=2316833627:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 1.52/0.58 % (16039)Instruction limit reached! 1.52/0.58 % (16039)------------------------------ 1.52/0.58 % (16039)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.52/0.58 % (16039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.52/0.58 % (16039)Termination reason: Instruction limit 1.52/0.58 % (16039)Termination phase: Blocked clause elimination 1.52/0.58 1.52/0.58 % (16039)Time elapsed: 0.036 s 1.52/0.58 % (16039)Peak memory usage: 10 MB 1.52/0.58 % (16039)Instructions burned: 133 (million) 1.52/0.62 % (16041)Instruction limit reached! 1.52/0.62 % (16041)------------------------------ 1.52/0.62 % (16041)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 1.52/0.62 % (16041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 1.52/0.62 % (16041)Termination reason: Instruction limit 1.52/0.62 % (16041)Termination phase: Saturation 1.52/0.62 1.52/0.62 % (16041)Time elapsed: 0.051 s 1.52/0.62 % (16041)Peak memory usage: 11 MB 1.52/0.62 % (16041)Instructions burned: 181 (million) 1.84/0.62 % (16016)Running in auto input_syntax mode. Trying TPTP 1.84/0.62 % (16069)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1696962367:i=477:bd=all_1197 on theBenchmark for (1197ds/477Mi) 1.84/0.63 % TRYING [1] 1.84/0.64 % TRYING [2] 1.96/0.66 % TRYING [1] 1.96/0.67 % TRYING [2] 1.96/0.67 % (16016)Running in auto input_syntax mode. Trying TPTP 1.96/0.67 % (16113)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3378077884:fmbsr=1.3:i=865:ins=25_1197 on theBenchmark for (1197ds/865Mi) 2.33/0.73 % TRYING [3] 2.33/0.75 % TRYING [3] 2.33/0.77 % (16069)Instruction limit reached! 2.33/0.77 % (16069)------------------------------ 2.33/0.77 % (16069)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.33/0.77 % (16069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.33/0.77 % (16069)Termination reason: Instruction limit 2.33/0.77 % (16069)Termination phase: Saturation 2.33/0.77 2.33/0.77 % (16069)Time elapsed: 0.142 s 2.33/0.77 % (16069)Peak memory usage: 17 MB 2.33/0.77 % (16069)Instructions burned: 478 (million) 2.76/0.77 % (16040)Instruction limit reached! 2.76/0.77 % (16040)------------------------------ 2.76/0.77 % (16040)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.76/0.77 % (16040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.76/0.77 % (16040)Termination reason: Instruction limit 2.76/0.77 % (16040)Termination phase: Saturation 2.76/0.77 2.76/0.77 % (16040)Time elapsed: 0.215 s 2.76/0.77 % (16040)Peak memory usage: 19 MB 2.76/0.77 % (16040)Instructions burned: 685 (million) 2.76/0.78 % (16038)Instruction limit reached! 2.76/0.78 % (16038)------------------------------ 2.76/0.78 % (16038)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.76/0.78 % (16038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.76/0.78 % (16038)Termination reason: Instruction limit 2.76/0.78 % (16038)Termination phase: Finite model building constraint generation 2.76/0.78 2.76/0.78 % (16038)Time elapsed: 0.239 s 2.76/0.78 % (16038)Peak memory usage: 29 MB 2.76/0.78 % (16038)Instructions burned: 715 (million) 2.76/0.80 % TRYING [1] 2.76/0.81 % (16016)Running in auto input_syntax mode. Trying TPTP 2.76/0.81 % (16127)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4284850485:i=1179_1195 on theBenchmark for (1195ds/1179Mi) 2.76/0.82 % TRYING [2] 2.76/0.82 % (16016)Running in auto input_syntax mode. Trying TPTP 2.76/0.82 % (16128)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3091062121:i=889:ins=1_1195 on theBenchmark for (1195ds/889Mi) 2.76/0.83 % (16016)Running in auto input_syntax mode. Trying TPTP 2.76/0.83 % (16129)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:plsqr=128,1:sp=reverse_frequency:bsr=unit_only:rp=on:newcnf=on:random_seed=2376147845:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_1195 on theBenchmark for (1195ds/692Mi) 3.12/0.90 % (16113)Instruction limit reached! 3.12/0.90 % (16113)------------------------------ 3.12/0.90 % (16113)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.12/0.90 % (16113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.12/0.90 % (16113)Termination reason: Instruction limit 3.12/0.90 % (16113)Termination phase: Finite model building constraint generation 3.12/0.90 3.12/0.90 % (16113)Time elapsed: 0.230 s 3.12/0.90 % (16113)Peak memory usage: 35 MB 3.12/0.90 % (16113)Instructions burned: 866 (million) 3.64/0.98 % (16016)Running in auto input_syntax mode. Trying TPTP 3.64/0.98 % (16154)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2845090435:i=879:kws=inv_precedence:fsr=off_1194 on theBenchmark for (1194ds/879Mi) 3.64/1.00 Cannot represent all propositional literals internally 3.64/1.00 % (16128)Refutation not found, incomplete strategy% (16128)------------------------------ 3.64/1.00 % (16128)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 3.64/1.00 % (16128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 3.64/1.00 % (16128)Termination reason: Refutation not found, incomplete strategy 3.64/1.00 3.64/1.00 % (16128)Time elapsed: 0.178 s 3.64/1.00 % (16128)Peak memory usage: 16 MB 3.64/1.00 % (16128)Instructions burned: 491 (million) 3.64/1.00 % (16128)------------------------------ 3.64/1.00 % (16128)------------------------------ 4.09/1.08 % (16016)Running in auto input_syntax mode. Trying TPTP 4.09/1.08 % (16159)fmb+10_1_sil=64000:random_seed=3658450840:i=22061:nm=2:gsp=on_1193 on theBenchmark for (1193ds/22061Mi) 5.86/1.19 % (16129)Instruction limit reached! 5.86/1.19 % (16129)------------------------------ 5.86/1.19 % (16129)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 5.86/1.19 % (16129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 5.86/1.19 % (16129)Termination reason: Instruction limit 5.86/1.19 % (16129)Termination phase: Saturation 5.86/1.19 5.86/1.19 % (16129)Time elapsed: 0.364 s 5.86/1.19 % (16129)Peak memory usage: 16 MB 5.86/1.19 % (16129)Instructions burned: 693 (million) 5.86/1.20 % TRYING [1] 6.06/1.22 % TRYING [2] 6.11/1.28 % (16127)Instruction limit reached! 6.11/1.28 % (16127)------------------------------ 6.11/1.28 % (16127)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.11/1.28 % (16127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.11/1.28 % (16127)Termination reason: Instruction limit 6.11/1.28 % (16127)Termination phase: Saturation 6.11/1.28 6.11/1.28 % (16127)Time elapsed: 0.466 s 6.11/1.28 % (16127)Peak memory usage: 30 MB 6.11/1.28 % (16127)Instructions burned: 1179 (million) 6.11/1.29 % (16016)Running in auto input_syntax mode. Trying TPTP 6.11/1.29 % (16161)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=148155440:i=9515:nm=5_1191 on theBenchmark for (1191ds/9515Mi) 6.53/1.36 % (16154)Instruction limit reached! 6.53/1.36 % (16154)------------------------------ 6.53/1.36 % (16154)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.53/1.36 % (16154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.53/1.36 % (16154)Termination reason: Instruction limit 6.53/1.36 % (16154)Termination phase: Saturation 6.53/1.36 6.53/1.36 % (16154)Time elapsed: 0.372 s 6.53/1.36 % (16154)Peak memory usage: 19 MB 6.53/1.36 % (16154)Instructions burned: 880 (million) 6.53/1.37 % (16016)Running in auto input_syntax mode. Trying TPTP 6.53/1.37 % (16162)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2896904202:fmbsr=1.7:i=920_1190 on theBenchmark for (1190ds/920Mi) 6.89/1.44 % (16016)Running in auto input_syntax mode. Trying TPTP 6.89/1.44 % (16164)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2262287869:i=5131_1190 on theBenchmark for (1190ds/5131Mi) 6.89/1.46 Cannot represent all propositional literals internally 6.89/1.46 % (16161)Refutation not found, incomplete strategy% (16161)------------------------------ 6.89/1.46 % (16161)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 6.89/1.46 % (16161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 6.89/1.46 % (16161)Termination reason: Refutation not found, incomplete strategy 6.89/1.46 6.89/1.46 % (16161)Time elapsed: 0.174 s 6.89/1.46 % (16161)Peak memory usage: 14 MB 6.89/1.46 % (16161)Instructions burned: 385 (million) 6.89/1.46 % (16161)------------------------------ 6.89/1.46 % (16161)------------------------------ 7.79/1.55 % (16016)Running in auto input_syntax mode. Trying TPTP 7.79/1.55 % (16167)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4260097484:i=1472:afp=4000:ins=7:aer=on:uhcvi=off:fdi=8:gsp=on_1188 on theBenchmark for (1188ds/1472Mi) 7.79/1.58 % TRYING [8] 9.34/1.71 % (16162)Instruction limit reached! 9.34/1.71 % (16162)------------------------------ 9.34/1.71 % (16162)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 9.34/1.71 % (16162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 9.34/1.71 % (16162)Termination reason: Instruction limit 9.34/1.71 % (16162)Termination phase: Finite model building constraint generation 9.34/1.71 9.34/1.71 % (16162)Time elapsed: 0.344 s 9.34/1.71 % (16162)Peak memory usage: 40 MB 9.34/1.71 % (16162)Instructions burned: 921 (million) 9.34/1.72 % TRYING [3] 10.16/1.81 % (16016)Running in auto input_syntax mode. Trying TPTP 10.16/1.81 % (16169)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4053489416:i=6324_1186 on theBenchmark for (1186ds/6324Mi) 11.21/2.07 Cannot represent all propositional literals internally 11.21/2.07 % (16169)Refutation not found, incomplete strategy% (16169)------------------------------ 11.21/2.07 % (16169)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 11.21/2.07 % (16169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 11.21/2.07 % (16169)Termination reason: Refutation not found, incomplete strategy 11.21/2.07 11.21/2.07 % (16169)Time elapsed: 0.253 s 11.21/2.07 % (16169)Peak memory usage: 16 MB 11.21/2.07 % (16169)Instructions burned: 576 (million) 11.21/2.07 % (16169)------------------------------ 11.21/2.07 % (16169)------------------------------ 12.42/2.15 % (16167)Instruction limit reached! 12.42/2.15 % (16167)------------------------------ 12.42/2.15 % (16167)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 12.42/2.15 % (16167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 12.42/2.15 % (16167)Termination reason: Instruction limit 12.42/2.15 % (16167)Termination phase: Saturation 12.42/2.15 12.42/2.15 % (16167)Time elapsed: 0.601 s 12.42/2.15 % (16167)Peak memory usage: 23 MB 12.42/2.15 % (16167)Instructions burned: 1473 (million) 12.42/2.16 % (16016)Running in auto input_syntax mode. Trying TPTP 12.42/2.16 % (16171)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2986111245:fmbsr=2.30978:i=2174_1182 on theBenchmark for (1182ds/2174Mi) 13.01/2.24 % (16016)Running in auto input_syntax mode. Trying TPTP 13.01/2.24 % (16172)ott-2_1_sil=16000:newcnf=on:random_seed=3010471078:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_1182 on theBenchmark for (1182ds/869Mi) 13.53/2.34 Cannot represent all propositional literals internally 13.53/2.34 % (16171)Refutation not found, incomplete strategy% (16171)------------------------------ 13.53/2.34 % (16171)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 13.53/2.34 % (16171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 13.53/2.34 % (16171)Termination reason: Refutation not found, incomplete strategy 13.53/2.34 13.53/2.34 % (16171)Time elapsed: 0.173 s 13.53/2.34 % (16171)Peak memory usage: 14 MB 13.53/2.34 % (16171)Instructions burned: 422 (million) 13.53/2.34 % (16171)------------------------------ 13.53/2.34 % (16171)------------------------------ 13.97/2.39 % (16016)Running in auto input_syntax mode. Trying TPTP 13.97/2.39 % (16175)ott+10_1_sil=32000:tgt=ground:random_seed=483870549:i=5114:av=off_1180 on theBenchmark for (1180ds/5114Mi) 15.07/2.60 % (16172)Instruction limit reached! 15.07/2.60 % (16172)------------------------------ 15.07/2.60 % (16172)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 15.07/2.60 % (16172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 15.07/2.60 % (16172)Termination reason: Instruction limit 15.07/2.60 % (16172)Termination phase: Saturation 15.07/2.60 15.07/2.60 % (16172)Time elapsed: 0.363 s 15.07/2.60 % (16172)Peak memory usage: 15 MB 15.07/2.60 % (16172)Instructions burned: 870 (million) 15.91/2.69 % (16016)Running in auto input_syntax mode. Trying TPTP 15.91/2.69 % (16177)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1173011983:i=54282_1177 on theBenchmark for (1177ds/54282Mi) 17.88/2.94 % TRYING [1] 17.88/2.95 % TRYING [2] 19.52/3.15 % TRYING [3] 20.37/3.32 % Finite Model Found! 20.37/3.32 % SZS status CounterSatisfiable for theBenchmark 21.38/3.44 % (16164)Instruction limit reached! 21.38/3.44 % (16164)------------------------------ 21.38/3.44 % (16164)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 21.38/3.44 % (16164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 21.38/3.44 % (16164)Termination reason: Instruction limit 21.38/3.44 % (16164)Termination phase: Saturation 21.38/3.44 21.38/3.44 % (16164)Time elapsed: 1.996 s 21.38/3.44 % (16164)Peak memory usage: 28 MB 21.38/3.44 % (16164)Instructions burned: 5131 (million) 21.69/3.53 % (16016)Running in auto input_syntax mode. Trying TPTP 21.69/3.53 % (16179)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2192230200:i=3512:aac=none_1169 on theBenchmark for (1169ds/3512Mi) 22.48/3.59 % (16024)First to succeed. 22.48/3.59 % (16024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16016" 22.80/3.65 % (16016)Running in auto input_syntax mode. Trying TPTP 22.80/3.65 % SZS output start FiniteModel for theBenchmark 22.80/3.65 tff('declare_$i1',type,'fmb_$i_1':$i). 22.80/3.65 tff('declare_$i2',type,'fmb_$i_2':$i). 22.80/3.65 tff('declare_$i3',type,'fmb_$i_3':$i). 22.80/3.65 tff('finite_domain_$i',axiom, 22.80/3.65 ! [X:$i] : ( 22.80/3.65 X = 'fmb_$i_1' | X = 'fmb_$i_2' | X = 'fmb_$i_3' 22.80/3.65 ) ). 22.80/3.65 22.80/3.65 tff('distinct_domain_$i',axiom, 22.80/3.65 'fmb_$i_1' != 'fmb_$i_2' & 'fmb_$i_1' != 'fmb_$i_3' & 'fmb_$i_2' != 'fmb_$i_3' 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff('declare_$ki_world',type,'$ki_world':$tType). 22.80/3.65 tff('declare_$ki_world1',type,'fmb_$ki_world_1':'$ki_world'). 22.80/3.65 tff('declare_$ki_world2',type,'fmb_$ki_world_2':'$ki_world'). 22.80/3.65 tff('declare_$ki_world3',type,'fmb_$ki_world_3':'$ki_world'). 22.80/3.65 tff('finite_domain_$ki_world',axiom, 22.80/3.65 ! [X:'$ki_world'] : ( 22.80/3.65 X = 'fmb_$ki_world_1' | X = 'fmb_$ki_world_2' | X = 'fmb_$ki_world_3' 22.80/3.65 ) ). 22.80/3.65 22.80/3.65 tff('distinct_domain_$ki_world',axiom, 22.80/3.65 'fmb_$ki_world_1' != 'fmb_$ki_world_2' & 'fmb_$ki_world_1' != 'fmb_$ki_world_3' & 'fmb_$ki_world_2' != 'fmb_$ki_world_3' 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff('declare_$ki_local_world',type,'$ki_local_world':'$ki_world'). 22.80/3.65 tff('$ki_local_world_definition',axiom,'$ki_local_world' = 'fmb_$ki_world_1'). 22.80/3.65 tff(declare_def,type,def:$i). 22.80/3.65 tff(def_definition,axiom,def = 'fmb_$i_1'). 22.80/3.65 tff(declare_tptp_minus_1,type,tptp_minus_1:$i). 22.80/3.65 tff(tptp_minus_1_definition,axiom,tptp_minus_1 = 'fmb_$i_2'). 22.80/3.65 tff(declare_pv40,type,pv40:$i). 22.80/3.65 tff(pv40_definition,axiom,pv40 = 'fmb_$i_3'). 22.80/3.65 tff(declare_tptp_float_0_0,type,tptp_float_0_0:$i). 22.80/3.65 tff(tptp_float_0_0_definition,axiom,tptp_float_0_0 = 'fmb_$i_3'). 22.80/3.65 tff(declare_n0,type,n0:$i). 22.80/3.65 tff(n0_definition,axiom,n0 = 'fmb_$i_3'). 22.80/3.65 tff(declare_n1,type,n1:$i). 22.80/3.65 tff(n1_definition,axiom,n1 = 'fmb_$i_3'). 22.80/3.65 tff(declare_n2,type,n2:$i). 22.80/3.65 tff(n2_definition,axiom,n2 = 'fmb_$i_3'). 22.80/3.65 tff(declare_n3,type,n3:$i). 22.80/3.65 tff(n3_definition,axiom,n3 = 'fmb_$i_3'). 22.80/3.65 tff(declare_n4,type,n4:$i). 22.80/3.65 tff(n4_definition,axiom,n4 = 'fmb_$i_3'). 22.80/3.65 tff(declare_use,type,use:$i). 22.80/3.65 tff(use_definition,axiom,use = 'fmb_$i_3'). 22.80/3.65 tff(declare_n5,type,n5:$i). 22.80/3.65 tff(n5_definition,axiom,n5 = 'fmb_$i_3'). 22.80/3.65 tff(declare_pv31,type,pv31:$i). 22.80/3.65 tff(pv31_definition,axiom,pv31 = 'fmb_$i_3'). 22.80/3.65 tff(declare_minus,type,minus: ($i * $i) > $i). 22.80/3.65 tff(function_minus,axiom, 22.80/3.65 minus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & minus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_dim,type,dim: ($i * $i) > $i). 22.80/3.65 tff(function_dim,axiom, 22.80/3.65 dim('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & dim('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_sum,type,sum: ($i * $i * $i) > $i). 22.80/3.65 tff(function_sum,axiom, 22.80/3.65 sum('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & sum('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_plus,type,plus: ($i * $i) > $i). 22.80/3.65 tff(function_plus,axiom, 22.80/3.65 plus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & plus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_inv,type,inv: ($i) > $i). 22.80/3.65 tff(function_inv,axiom, 22.80/3.65 inv('fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & inv('fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & inv('fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_uniform_int_rnd,type,uniform_int_rnd: ($i * $i) > $i). 22.80/3.65 tff(function_uniform_int_rnd,axiom, 22.80/3.65 uniform_int_rnd('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & uniform_int_rnd('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_succ,type,succ: ($i) > $i). 22.80/3.65 tff(function_succ,axiom, 22.80/3.65 succ('fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & succ('fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & succ('fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_pred,type,pred: ($i) > $i). 22.80/3.65 tff(function_pred,axiom, 22.80/3.65 pred('fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & pred('fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & pred('fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_update3,type,tptp_update3: ($i * $i * $i * $i) > $i). 22.80/3.65 tff(function_tptp_update3,axiom, 22.80/3.65 tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_1','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_2','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update3('fmb_$i_3','fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_update2,type,tptp_update2: ($i * $i * $i) > $i). 22.80/3.65 tff(function_tptp_update2,axiom, 22.80/3.65 tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_update2('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_const_array1,type,tptp_const_array1: ($i * $i) > $i). 22.80/3.65 tff(function_tptp_const_array1,axiom, 22.80/3.65 tptp_const_array1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array1('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_mmul,type,tptp_mmul: ($i * $i) > $i). 22.80/3.65 tff(function_tptp_mmul,axiom, 22.80/3.65 tptp_mmul('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_mmul('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_a_select3,type,a_select3: ($i * $i * $i) > $i). 22.80/3.65 tff(function_a_select3,axiom, 22.80/3.65 a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select3('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_const_array2,type,tptp_const_array2: ($i * $i * $i) > $i). 22.80/3.65 tff(function_tptp_const_array2,axiom, 22.80/3.65 tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_1','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_2','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_const_array2('fmb_$i_3','fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_a_select2,type,a_select2: ($i * $i) > $i). 22.80/3.65 tff(function_a_select2,axiom, 22.80/3.65 a_select2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & a_select2('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_madd,type,tptp_madd: ($i * $i) > $i). 22.80/3.65 tff(function_tptp_madd,axiom, 22.80/3.65 tptp_madd('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_madd('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_tptp_msub,type,tptp_msub: ($i * $i) > $i). 22.80/3.65 tff(function_tptp_msub,axiom, 22.80/3.65 tptp_msub('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & tptp_msub('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_trans,type,trans: ($i) > $i). 22.80/3.65 tff(function_trans,axiom, 22.80/3.65 trans('fmb_$i_1') = 'fmb_$i_3' 22.80/3.65 & trans('fmb_$i_2') = 'fmb_$i_3' 22.80/3.65 & trans('fmb_$i_3') = 'fmb_$i_3' 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff('declare_$ki_accessible',type,'$ki_accessible': ('$ki_world' * '$ki_world') > $o). 22.80/3.65 tff('predicate_$ki_accessible',axiom, 22.80/3.65 ~'$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_1') 22.80/3.65 & '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_2') 22.80/3.65 & ~'$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_3') 22.80/3.65 & ~'$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_1') 22.80/3.65 & ~'$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_2') 22.80/3.65 & '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_3') 22.80/3.65 & '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_1') 22.80/3.65 & ~'$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_2') 22.80/3.65 & ~'$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_customqmltpeq,type,customqmltpeq: ('$ki_world' * $i * $i) > $o). 22.80/3.65 tff(predicate_customqmltpeq,axiom, 22.80/3.65 customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~customqmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~customqmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 22.80/3.65 & customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 22.80/3.65 & customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 22.80/3.65 & customqmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_true,type,true: ('$ki_world') > $o). 22.80/3.65 tff(predicate_true,axiom, 22.80/3.65 ~true('fmb_$ki_world_1') 22.80/3.65 & true('fmb_$ki_world_2') 22.80/3.65 & true('fmb_$ki_world_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_geq,type,geq: ('$ki_world' * $i * $i) > $o). 22.80/3.65 tff(predicate_geq,axiom, 22.80/3.65 ~geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 22.80/3.65 & geq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 22.80/3.65 & ~geq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_lt,type,lt: ('$ki_world' * $i * $i) > $o). 22.80/3.65 tff(predicate_lt,axiom, 22.80/3.65 ~lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 22.80/3.65 & lt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 22.80/3.65 & ~lt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_leq,type,leq: ('$ki_world' * $i * $i) > $o). 22.80/3.65 tff(predicate_leq,axiom, 22.80/3.65 leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 22.80/3.65 & ~leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 22.80/3.65 & leq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff(declare_gt,type,gt: ('$ki_world' * $i * $i) > $o). 22.80/3.65 tff(predicate_gt,axiom, 22.80/3.65 ~gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 22.80/3.65 & ~gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 22.80/3.65 & ~gt('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 22.80/3.65 & gt('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': ('$ki_world' * $i) > $o). 22.80/3.65 tff('predicate_$ki_exists_in_world_$i',axiom, 22.80/3.65 '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_1') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_2') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_3') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_1') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_2') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_3') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_1') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_2') 22.80/3.65 & '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_3') 22.80/3.65 22.80/3.65 ). 22.80/3.65 22.80/3.65 % SZS output end FiniteModel for theBenchmark 22.80/3.65 % (16024)------------------------------ 22.80/3.65 % (16024)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 22.80/3.65 % (16024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 22.80/3.65 % (16024)Termination reason: Satisfiable 22.80/3.65 22.80/3.65 % (16024)Time elapsed: 3.135 s 22.80/3.65 % (16024)Peak memory usage: 443 MB 22.80/3.65 % (16024)Instructions burned: 8421 (million) 22.80/3.65 % (16024)------------------------------ 22.80/3.65 % (16024)------------------------------ 22.80/3.65 % (16016)Success in time 3.289 s 22.89/3.67 EOF