0.00/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.10 % Command : run_vampire %s %d SAT 0.09/0.30 % Computer : n026.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % WCLimit : 120 0.09/0.30 % DateTime : Wed Jul 30 05:38:19 EDT 2025 0.09/0.30 % CPUTime : 0.15/0.31 This is a TFF_ problem 0.15/0.32 Running first-order model finding 0.15/0.32 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc --intent sat -m 16384 --cores 7 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7155)dis+10_1_sil=32000:sp=arity:random_seed=2130229090:i=103:fgj=on_1199 on theBenchmark for (1199ds/103Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7156)ott+31_1_sil=16000:bce=on:lcm=predicate:newcnf=on:random_seed=2474683512:i=116_1199 on theBenchmark for (1199ds/116Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7153)dis+11_61:31_drc=ordering:lsd=5:abs=on:bsr=unit_only:rp=on:newcnf=on:random_seed=2677505506:i=135531:add=off:rawr=on_1199 on theBenchmark for (1199ds/135531Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7152)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1382852851_1199 on theBenchmark for (1199ds/0Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7158)ott-3_16_to=lpo:sil=16000:sp=arity:abs=on:fd=off:rp=on:random_seed=1028236690:i=159:nicw=on:bs=unit_only:fsr=off:amm=off_1199 on theBenchmark for (1199ds/159Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7157)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2065885956:i=131_1199 on theBenchmark for (1199ds/131Mi) 0.16/0.40 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.40 % (7154)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=978872871:gsem=randomized:i=88024:add=on:uhcvi=off:rawr=on_1199 on theBenchmark for (1199ds/88024Mi) 0.16/0.45 % (7156)Instruction limit reached! 0.16/0.45 % (7156)------------------------------ 0.16/0.45 % (7156)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.45 % (7156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.45 % (7156)Termination reason: Instruction limit 0.16/0.45 % (7156)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (7156)Time elapsed: 0.051 s 0.16/0.45 % (7156)Peak memory usage: 9 MB 0.16/0.45 % (7156)Instructions burned: 118 (million) 0.16/0.45 % (7155)Instruction limit reached! 0.16/0.45 % (7155)------------------------------ 0.16/0.45 % (7155)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.45 % (7155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.45 % (7155)Termination reason: Instruction limit 0.16/0.45 % (7155)Termination phase: Saturation 0.16/0.45 0.16/0.45 % (7155)Time elapsed: 0.051 s 0.16/0.45 % (7155)Peak memory usage: 9 MB 0.16/0.45 % (7155)Instructions burned: 103 (million) 0.16/0.45 % TRYING [1] 0.16/0.45 % TRYING [2] 0.16/0.46 % (7157)Instruction limit reached! 0.16/0.46 % (7157)------------------------------ 0.16/0.46 % (7157)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.46 % (7157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.46 % (7157)Termination reason: Instruction limit 0.16/0.46 % (7157)Termination phase: Saturation 0.16/0.46 0.16/0.46 % (7157)Time elapsed: 0.059 s 0.16/0.46 % (7157)Peak memory usage: 10 MB 0.16/0.46 % (7157)Instructions burned: 132 (million) 0.16/0.47 % (7158)Instruction limit reached! 0.16/0.47 % (7158)------------------------------ 0.16/0.47 % (7158)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.47 % (7158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.47 % (7158)Termination reason: Instruction limit 0.16/0.47 % (7158)Termination phase: Saturation 0.16/0.47 0.16/0.47 % (7158)Time elapsed: 0.074 s 0.16/0.47 % (7158)Peak memory usage: 11 MB 0.16/0.47 % (7158)Instructions burned: 161 (million) 0.16/0.49 % TRYING [3] 0.16/0.52 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.52 % (7167)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=765959035:i=131:bd=preordered:fsd=on_1198 on theBenchmark for (1198ds/131Mi) 0.16/0.52 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.52 % (7168)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=754531558:i=684:slsql=off:nicw=on:bs=unit_only:rawr=on_1198 on theBenchmark for (1198ds/684Mi) 0.16/0.52 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.52 % (7166)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3919107541:i=714:nm=2_1198 on theBenchmark for (1198ds/714Mi) 0.16/0.55 % (7150)Running in auto input_syntax mode. Trying TPTP 0.16/0.55 % (7169)ott-21_1_sil=16000:fs=off:random_seed=1901835704:i=180:av=off:fsr=off_1198 on theBenchmark for (1198ds/180Mi) 0.16/0.55 % TRYING [1] 0.16/0.55 % TRYING [2] 0.16/0.58 % TRYING [3] 0.16/0.58 % (7167)Instruction limit reached! 0.16/0.58 % (7167)------------------------------ 0.16/0.58 % (7167)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 0.16/0.58 % (7167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 0.16/0.58 % (7167)Termination reason: Instruction limit 0.16/0.58 % (7167)Termination phase: Saturation 0.16/0.58 0.16/0.58 % (7167)Time elapsed: 0.058 s 0.16/0.58 % (7167)Peak memory usage: 9 MB 0.16/0.58 % (7167)Instructions burned: 132 (million) 2.02/0.63 % (7169)Instruction limit reached! 2.02/0.63 % (7169)------------------------------ 2.02/0.63 % (7169)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.02/0.63 % (7169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.02/0.63 % (7169)Termination reason: Instruction limit 2.02/0.63 % (7169)Termination phase: Saturation 2.02/0.63 2.02/0.63 % (7169)Time elapsed: 0.077 s 2.02/0.63 % (7169)Peak memory usage: 9 MB 2.02/0.63 % (7169)Instructions burned: 181 (million) 2.20/0.64 % Finite Model Found! 2.20/0.64 % SZS status CounterSatisfiable for theBenchmark 2.20/0.66 % (7152)First to succeed. 2.20/0.66 % (7152)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7150" 2.20/0.66 % (7150)Running in auto input_syntax mode. Trying TPTP 2.20/0.66 % SZS output start FiniteModel for theBenchmark 2.20/0.66 tff('declare_$i1',type,'fmb_$i_1':$i). 2.20/0.66 tff('declare_$i2',type,'fmb_$i_2':$i). 2.20/0.66 tff('declare_$i3',type,'fmb_$i_3':$i). 2.20/0.66 tff('finite_domain_$i',axiom, 2.20/0.66 ! [X:$i] : ( 2.20/0.66 X = 'fmb_$i_1' | X = 'fmb_$i_2' | X = 'fmb_$i_3' 2.20/0.66 ) ). 2.20/0.66 2.20/0.66 tff('distinct_domain_$i',axiom, 2.20/0.66 'fmb_$i_1' != 'fmb_$i_2' & 'fmb_$i_1' != 'fmb_$i_3' & 'fmb_$i_2' != 'fmb_$i_3' 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff('declare_$ki_world',type,'$ki_world':$tType). 2.20/0.66 tff('declare_$ki_world1',type,'fmb_$ki_world_1':'$ki_world'). 2.20/0.66 tff('declare_$ki_world2',type,'fmb_$ki_world_2':'$ki_world'). 2.20/0.66 tff('declare_$ki_world3',type,'fmb_$ki_world_3':'$ki_world'). 2.20/0.66 tff('finite_domain_$ki_world',axiom, 2.20/0.66 ! [X:'$ki_world'] : ( 2.20/0.66 X = 'fmb_$ki_world_1' | X = 'fmb_$ki_world_2' | X = 'fmb_$ki_world_3' 2.20/0.66 ) ). 2.20/0.66 2.20/0.66 tff('distinct_domain_$ki_world',axiom, 2.20/0.66 'fmb_$ki_world_1' != 'fmb_$ki_world_2' & 'fmb_$ki_world_1' != 'fmb_$ki_world_3' & 'fmb_$ki_world_2' != 'fmb_$ki_world_3' 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff('declare_$ki_local_world',type,'$ki_local_world':'$ki_world'). 2.20/0.66 tff('$ki_local_world_definition',axiom,'$ki_local_world' = 'fmb_$ki_world_1'). 2.20/0.66 tff(declare_empty_set,type,empty_set:$i). 2.20/0.66 tff(empty_set_definition,axiom,empty_set = 'fmb_$i_1'). 2.20/0.66 tff(declare_singleton,type,singleton: ($i) > $i). 2.20/0.66 tff(function_singleton,axiom, 2.20/0.66 singleton('fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & singleton('fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & singleton('fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_product,type,product: ($i) > $i). 2.20/0.66 tff(function_product,axiom, 2.20/0.66 product('fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & product('fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & product('fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_unordered_pair,type,unordered_pair: ($i * $i) > $i). 2.20/0.66 tff(function_unordered_pair,axiom, 2.20/0.66 unordered_pair('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & unordered_pair('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_intersection,type,intersection: ($i * $i) > $i). 2.20/0.66 tff(function_intersection,axiom, 2.20/0.66 intersection('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & intersection('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_difference,type,difference: ($i * $i) > $i). 2.20/0.66 tff(function_difference,axiom, 2.20/0.66 difference('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' 2.20/0.66 & difference('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & difference('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_sum,type,sum: ($i) > $i). 2.20/0.66 tff(function_sum,axiom, 2.20/0.66 sum('fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & sum('fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & sum('fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_union,type,union: ($i * $i) > $i). 2.20/0.66 tff(function_union,axiom, 2.20/0.66 union('fmb_$i_1','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_2','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & union('fmb_$i_3','fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_power_set,type,power_set: ($i) > $i). 2.20/0.66 tff(function_power_set,axiom, 2.20/0.66 power_set('fmb_$i_1') = 'fmb_$i_3' 2.20/0.66 & power_set('fmb_$i_2') = 'fmb_$i_3' 2.20/0.66 & power_set('fmb_$i_3') = 'fmb_$i_3' 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff('declare_$ki_accessible',type,'$ki_accessible': ('$ki_world' * '$ki_world') > $o). 2.20/0.66 tff('predicate_$ki_accessible',axiom, 2.20/0.66 '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_1') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_2') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_1','fmb_$ki_world_3') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_1') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_2') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_2','fmb_$ki_world_3') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_1') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_2') 2.20/0.66 & '$ki_accessible'('fmb_$ki_world_3','fmb_$ki_world_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_qmltpeq,type,qmltpeq: ('$ki_world' * $i * $i) > $o). 2.20/0.66 tff(predicate_qmltpeq,axiom, 2.20/0.66 qmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 2.20/0.66 & qmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 2.20/0.66 & qmltpeq('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 2.20/0.66 & qmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 2.20/0.66 & qmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 2.20/0.66 & qmltpeq('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 2.20/0.66 & qmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 2.20/0.66 & qmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~qmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 2.20/0.66 & qmltpeq('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_equal_set,type,equal_set: ('$ki_world' * $i * $i) > $o). 2.20/0.66 tff(predicate_equal_set,axiom, 2.20/0.66 equal_set('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~equal_set('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 2.20/0.66 & equal_set('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_member,type,member: ('$ki_world' * $i * $i) > $o). 2.20/0.66 tff(predicate_member,axiom, 2.20/0.66 member('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 2.20/0.66 & member('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 2.20/0.66 & member('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 2.20/0.66 & ~member('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 2.20/0.66 & member('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~member('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 2.20/0.66 & member('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 2.20/0.66 & member('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 2.20/0.66 & member('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 2.20/0.66 & member('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 2.20/0.66 & ~member('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 2.20/0.66 & member('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 2.20/0.66 & member('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 2.20/0.66 & ~member('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 2.20/0.66 & ~member('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 2.20/0.66 & member('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff(declare_subset,type,subset: ('$ki_world' * $i * $i) > $o). 2.20/0.66 tff(predicate_subset,axiom, 2.20/0.66 subset('fmb_$ki_world_1','fmb_$i_1','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_1','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_1','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_2','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_2','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_2','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_3','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_3','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_1','fmb_$i_3','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_1','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_1','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_1','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_2','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_2','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_2','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_3','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_3','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_2','fmb_$i_3','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_1','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_1','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_1','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_2','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_2','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_2','fmb_$i_3') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_3','fmb_$i_1') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_3','fmb_$i_2') 2.20/0.66 & subset('fmb_$ki_world_3','fmb_$i_3','fmb_$i_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 tff('declare_$ki_exists_in_world_$i',type,'$ki_exists_in_world_$i': ('$ki_world' * $i) > $o). 2.20/0.66 tff('predicate_$ki_exists_in_world_$i',axiom, 2.20/0.66 ~'$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_1') 2.20/0.66 & '$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_2') 2.20/0.66 & ~'$ki_exists_in_world_$i'('fmb_$ki_world_1','fmb_$i_3') 2.20/0.66 & ~'$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_1') 2.20/0.66 & '$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_2') 2.20/0.66 & ~'$ki_exists_in_world_$i'('fmb_$ki_world_2','fmb_$i_3') 2.20/0.66 & ~'$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_1') 2.20/0.66 & '$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_2') 2.20/0.66 & ~'$ki_exists_in_world_$i'('fmb_$ki_world_3','fmb_$i_3') 2.20/0.66 2.20/0.66 ). 2.20/0.66 2.20/0.66 % SZS output end FiniteModel for theBenchmark 2.20/0.66 % (7152)------------------------------ 2.20/0.66 % (7152)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200) 2.20/0.66 % (7152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c 2.20/0.66 % (7152)Termination reason: Satisfiable 2.20/0.66 2.20/0.66 % (7152)Time elapsed: 0.263 s 2.20/0.66 % (7152)Peak memory usage: 33 MB 2.20/0.66 % (7152)Instructions burned: 620 (million) 2.20/0.66 % (7152)------------------------------ 2.20/0.66 % (7152)------------------------------ 2.20/0.66 % (7150)Success in time 0.345 s 2.20/0.67 EOF