%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP151^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:53 AM UTC 2026
% Result : Theorem 27.95s 4.26s
% Output : Refutation 27.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP151^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n015.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Tue Sep 29 20:05:34 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/0.99 % (4047238)Will run a generic schedule for satisfiability detection.
% 4.05/0.99 % (4047246)dis+10_1_sil=32000:sp=arity:random_seed=4104838104:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.05/0.99 % (4047244)% WARNING: option uhcvi not known.
% 4.05/0.99 % (4047243)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=757644641_2999 on theBenchmark for (2999ds/0Mi)
% 4.05/0.99 % (4047244)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3935494470:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.05/0.99 % (4047248)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2595770976:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.05/0.99 % (4047245)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1180976731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.05/0.99 % (4047249)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=746707369:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.05/0.99 % (4047247)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3417729111:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.05/0.99 % (4047244)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.05/0.99 % (4047247)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.05/0.99 % (4047246)Instruction limit reached!
% 4.05/0.99 % (4047246)------------------------------
% 4.05/0.99 % (4047246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (4047246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (4047246)CaDiCaL version: 2.1.3
% 4.05/0.99 % (4047246)Termination reason: Instruction limit
% 4.05/0.99 % (4047246)Termination phase: Property scanning
% 4.05/0.99 % (4047246)Time elapsed: 0.023 s
% 4.05/0.99 % (4047246)Peak memory usage: 11 MB
% 4.05/0.99 % (4047246)Instructions burned: 105 (million)
% 4.05/0.99 % (4047257)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3917721871:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.05/0.99 % Exception at run slice level
% 4.05/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.05/0.99 % (4047244)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.05/0.99 % Exception at run slice level
% 4.05/0.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.05/0.99 % (4047247)Instruction limit reached!
% 4.05/0.99 % (4047247)------------------------------
% 4.05/0.99 % (4047247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (4047247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (4047247)CaDiCaL version: 2.1.3
% 4.05/0.99 % (4047247)Termination reason: Instruction limit
% 4.05/0.99 % (4047247)Termination phase: Saturation
% 4.05/0.99 % (4047247)Time elapsed: 0.048 s
% 4.05/0.99 % (4047247)Peak memory usage: 13 MB
% 4.05/0.99 % (4047247)Instructions burned: 116 (million)
% 4.05/0.99 % (4047248)Instruction limit reached!
% 4.05/0.99 % (4047248)------------------------------
% 4.05/0.99 % (4047248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (4047248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (4047248)CaDiCaL version: 2.1.3
% 4.05/0.99 % (4047248)Termination reason: Instruction limit
% 4.05/0.99 % (4047248)Termination phase: Saturation
% 4.05/0.99 % (4047248)Time elapsed: 0.056 s
% 4.05/0.99 % (4047248)Peak memory usage: 13 MB
% 4.05/0.99 % (4047248)Instructions burned: 132 (million)
% 4.05/0.99 % (4047261)ott-21_1_sil=16000:fs=off:random_seed=2244184190:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.05/0.99 % (4047259)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1846429939:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.05/0.99 % (4047249)Instruction limit reached!
% 4.05/0.99 % (4047249)------------------------------
% 4.05/0.99 % (4047249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.05/0.99 % (4047249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.05/0.99 % (4047249)CaDiCaL version: 2.1.3
% 4.05/0.99 % (4047249)Termination reason: Instruction limit
% 4.05/0.99 % (4047249)Termination phase: Saturation
% 4.05/0.99 % (4047249)Time elapsed: 0.067 s
% 4.05/0.99 % (4047249)Peak memory usage: 13 MB
% 15.87/2.53 % (4047249)Instructions burned: 159 (million)
% 15.87/2.53 % (4047260)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=2774615837:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 15.87/2.53 % (4047262)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3971716686:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.87/2.53 % (4047265)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4268252148:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 15.87/2.53 % (4047260)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.87/2.53 % (4047261)Instruction limit reached!
% 15.87/2.53 % (4047261)------------------------------
% 15.87/2.53 % (4047261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.87/2.53 % (4047261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/2.53 % (4047261)CaDiCaL version: 2.1.3
% 15.87/2.53 % (4047261)Termination reason: Instruction limit
% 15.87/2.53 % (4047261)Termination phase: Saturation
% 15.87/2.53 % (4047261)Time elapsed: 0.042 s
% 15.87/2.53 % (4047261)Peak memory usage: 14 MB
% 15.87/2.53 % (4047261)Instructions burned: 184 (million)
% 15.87/2.53 % (4047269)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1601388266:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 15.87/2.53 % (4047260)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 15.87/2.53 % (4047259)Instruction limit reached!
% 15.87/2.53 % (4047259)------------------------------
% 15.87/2.53 % (4047259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.87/2.53 % (4047259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/2.53 % (4047259)CaDiCaL version: 2.1.3
% 15.87/2.53 % (4047259)Termination reason: Instruction limit
% 15.87/2.53 % (4047259)Termination phase: Saturation
% 15.87/2.53 % (4047259)Time elapsed: 0.055 s
% 15.87/2.53 % (4047259)Peak memory usage: 13 MB
% 15.87/2.53 % (4047259)Instructions burned: 132 (million)
% 15.87/2.53 % Exception at run slice level
% 15.87/2.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.87/2.53 % (4047271)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4202246454:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 15.87/2.53 % (4047272)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=3043859209:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2998 on theBenchmark for (2998ds/692Mi)
% 15.87/2.53 % (4047272)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.87/2.53 % Exception at run slice level
% 15.87/2.53 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 15.87/2.53 % (4047275)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=716777482:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 15.87/2.53 % (4047275)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 15.87/2.53 % (4047262)Instruction limit reached!
% 15.87/2.53 % (4047262)------------------------------
% 15.87/2.53 % (4047262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.87/2.53 % (4047262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/2.53 % (4047262)CaDiCaL version: 2.1.3
% 15.87/2.53 % (4047262)Termination reason: Instruction limit
% 15.87/2.53 % (4047262)Termination phase: Saturation
% 15.87/2.53 % (4047262)Time elapsed: 0.255 s
% 15.87/2.53 % (4047262)Peak memory usage: 15 MB
% 15.87/2.53 % (4047262)Instructions burned: 479 (million)
% 15.87/2.53 % (4047277)fmb+10_1_sil=64000:random_seed=704030507:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 15.87/2.53 % (4047277)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 15.87/2.53 % (4047260)Instruction limit reached!
% 15.87/2.53 % (4047260)------------------------------
% 15.87/2.53 % (4047260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.87/2.53 % (4047260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/2.53 % (4047260)CaDiCaL version: 2.1.3
% 15.87/2.53 % (4047260)Termination reason: Instruction limit
% 15.87/2.53 % (4047260)Termination phase: Saturation
% 27.95/4.26 % (4047260)Time elapsed: 0.318 s
% 27.95/4.26 % (4047260)Peak memory usage: 16 MB
% 27.95/4.26 % (4047260)Instructions burned: 687 (million)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047269)Instruction limit reached!
% 27.95/4.26 % (4047269)------------------------------
% 27.95/4.26 % (4047269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047269)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047269)Termination reason: Instruction limit
% 27.95/4.26 % (4047269)Termination phase: Saturation
% 27.95/4.26 % (4047269)Time elapsed: 0.289 s
% 27.95/4.26 % (4047269)Peak memory usage: 18 MB
% 27.95/4.26 % (4047269)Instructions burned: 1183 (million)
% 27.95/4.26 % (4047279)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3403352492:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 27.95/4.26 % (4047280)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3192746699:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 27.95/4.26 % (4047281)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1685591517:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 27.95/4.26 % (4047281)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047272)Instruction limit reached!
% 27.95/4.26 % (4047272)------------------------------
% 27.95/4.26 % (4047272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047272)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047272)Termination reason: Instruction limit
% 27.95/4.26 % (4047272)Termination phase: Saturation
% 27.95/4.26 % (4047272)Time elapsed: 0.316 s
% 27.95/4.26 % (4047272)Peak memory usage: 17 MB
% 27.95/4.26 % (4047272)Instructions burned: 694 (million)
% 27.95/4.26 % (4047285)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=661422161:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 27.95/4.26 % (4047286)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3057620259:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 27.95/4.26 % (4047287)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1094134657:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 27.95/4.26 % (4047285)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 27.95/4.26 % (4047285)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047291)ott-2_1_sil=16000:newcnf=on:random_seed=1464218725:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 27.95/4.26 % (4047292)ott+10_1_sil=32000:tgt=ground:random_seed=2744765445:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 27.95/4.26 % (4047291)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 27.95/4.26 % (4047275)Instruction limit reached!
% 27.95/4.26 % (4047275)------------------------------
% 27.95/4.26 % (4047275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047275)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047275)Termination reason: Instruction limit
% 27.95/4.26 % (4047275)Termination phase: Saturation
% 27.95/4.26 % (4047275)Time elapsed: 0.426 s
% 27.95/4.26 % (4047275)Peak memory usage: 19 MB
% 27.95/4.26 % (4047275)Instructions burned: 879 (million)
% 27.95/4.26 % (4047295)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=129562356:i=54282_2993 on theBenchmark for (2993ds/54282Mi)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047297)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1653763063:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 27.95/4.26 % (4047297)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 27.95/4.26 % (4047291)Instruction limit reached!
% 27.95/4.26 % (4047291)------------------------------
% 27.95/4.26 % (4047291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047291)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047291)Termination reason: Instruction limit
% 27.95/4.26 % (4047291)Termination phase: Saturation
% 27.95/4.26 % (4047291)Time elapsed: 0.404 s
% 27.95/4.26 % (4047291)Peak memory usage: 18 MB
% 27.95/4.26 % (4047291)Instructions burned: 870 (million)
% 27.95/4.26 % (4047299)dis+21_1_sil=32000:sas=cadical:random_seed=1397189943:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 27.95/4.26 % (4047285)Instruction limit reached!
% 27.95/4.26 % (4047285)------------------------------
% 27.95/4.26 % (4047285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047285)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047285)Termination reason: Instruction limit
% 27.95/4.26 % (4047285)Termination phase: Saturation
% 27.95/4.26 % (4047285)Time elapsed: 0.656 s
% 27.95/4.26 % (4047285)Peak memory usage: 16 MB
% 27.95/4.26 % (4047285)Instructions burned: 1473 (million)
% 27.95/4.26 % (4047301)ott+11_1_sil=16000:gs=on:random_seed=2888574124:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2988 on theBenchmark for (2988ds/2251Mi)
% 27.95/4.26 % (4047301)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 27.95/4.26 % (4047281)Instruction limit reached!
% 27.95/4.26 % (4047281)------------------------------
% 27.95/4.26 % (4047281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047281)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047281)Termination reason: Instruction limit
% 27.95/4.26 % (4047281)Termination phase: Saturation
% 27.95/4.26 % (4047281)Time elapsed: 0.937 s
% 27.95/4.26 % (4047281)Peak memory usage: 21 MB
% 27.95/4.26 % (4047281)Instructions burned: 5131 (million)
% 27.95/4.26 % (4047305)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4092709464:fmbsr=1.6:i=67534_2985 on theBenchmark for (2985ds/67534Mi)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047307)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2578914033:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2985 on theBenchmark for (2985ds/4591Mi)
% 27.95/4.26 % (4047301)Instruction limit reached!
% 27.95/4.26 % (4047301)------------------------------
% 27.95/4.26 % (4047301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047301)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047301)Termination reason: Instruction limit
% 27.95/4.26 % (4047301)Termination phase: Saturation
% 27.95/4.26 % (4047301)Time elapsed: 1.024 s
% 27.95/4.26 % (4047301)Peak memory usage: 22 MB
% 27.95/4.26 % (4047301)Instructions burned: 2253 (million)
% 27.95/4.26 % (4047309)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=147401149:i=29340_2977 on theBenchmark for (2977ds/29340Mi)
% 27.95/4.26 % (4047297)Instruction limit reached!
% 27.95/4.26 % (4047297)------------------------------
% 27.95/4.26 % (4047297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047297)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047297)Termination reason: Instruction limit
% 27.95/4.26 % (4047297)Termination phase: Saturation
% 27.95/4.26 % (4047297)Time elapsed: 1.503 s
% 27.95/4.26 % (4047297)Peak memory usage: 27 MB
% 27.95/4.26 % (4047297)Instructions burned: 3512 (million)
% 27.95/4.26 % (4047311)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1274479120:i=5211_2977 on theBenchmark for (2977ds/5211Mi)
% 27.95/4.26 % (4047292)Instruction limit reached!
% 27.95/4.26 % (4047292)------------------------------
% 27.95/4.26 % (4047292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047292)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047292)Termination reason: Instruction limit
% 27.95/4.26 % (4047292)Termination phase: Saturation
% 27.95/4.26 % (4047292)Time elapsed: 1.716 s
% 27.95/4.26 % (4047292)Peak memory usage: 21 MB
% 27.95/4.26 % (4047292)Instructions burned: 5116 (million)
% 27.95/4.26 % (4047313)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2575630703:i=5497:nm=2_2976 on theBenchmark for (2976ds/5497Mi)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047315)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1666176745:fmbsr=2:i=46332_2976 on theBenchmark for (2976ds/46332Mi)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047317)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=3187136780:i=14071_2975 on theBenchmark for (2975ds/14071Mi)
% 27.95/4.26 % (4047307)Instruction limit reached!
% 27.95/4.26 % (4047307)------------------------------
% 27.95/4.26 % (4047307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047307)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047307)Termination reason: Instruction limit
% 27.95/4.26 % (4047307)Termination phase: Saturation
% 27.95/4.26 % (4047307)Time elapsed: 1.053 s
% 27.95/4.26 % (4047307)Peak memory usage: 23 MB
% 27.95/4.26 % (4047307)Instructions burned: 4594 (million)
% 27.95/4.26 % Exception at run slice level
% 27.95/4.26 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 27.95/4.26 % (4047320)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=3886470921:i=8173:av=off_2974 on theBenchmark for (2974ds/8173Mi)
% 27.95/4.26 % (4047319)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3364633659:i=22565:add=on:rawr=on_2974 on theBenchmark for (2974ds/22565Mi)
% 27.95/4.26 % (4047299)Instruction limit reached!
% 27.95/4.26 % (4047299)------------------------------
% 27.95/4.26 % (4047299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.26 % (4047299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.26 % (4047299)CaDiCaL version: 2.1.3
% 27.95/4.26 % (4047299)Termination reason: Instruction limit
% 27.95/4.26 % (4047299)Termination phase: Saturation
% 27.95/4.26 % (4047299)Time elapsed: 1.670 s
% 27.95/4.26 % (4047299)Peak memory usage: 30 MB
% 27.95/4.26 % (4047299)Instructions burned: 3773 (million)
% 27.95/4.26 % (4047323)dis+10_16:1_sil=16000:random_seed=1462608958:i=9155:fsr=off_2973 on theBenchmark for (2973ds/9155Mi)
% 27.95/4.26 % (4047244) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4047238-4047244"...
% 27.95/4.26 % (4047244)...printing done.
% 27.95/4.26 % (4047244)Refutation found. Thanks to Tanya!
% 27.95/4.26 % SZS status Theorem for theBenchmark
% 27.95/4.26 % SZS output start Proof for theBenchmark
% 27.95/4.26 thf(type_def_5, type, polyno727731844poly_a: $tType).
% 27.95/4.26 thf(type_def_6, type, nat: $tType).
% 27.95/4.26 thf(type_def_7, type, int: $tType).
% 27.95/4.26 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 27.95/4.26 thf(func_def_0, type, minus_minus_int: (int > int > int)).
% 27.95/4.26 thf(func_def_1, type, minus_minus_nat: (nat > nat > nat)).
% 27.95/4.26 thf(func_def_2, type, zero_zero_int: int).
% 27.95/4.26 thf(func_def_3, type, zero_zero_nat: nat).
% 27.95/4.26 thf(func_def_4, type, suc: (nat > nat)).
% 27.95/4.26 thf(func_def_5, type, semiri2019852685at_int: (nat > int)).
% 27.95/4.26 thf(func_def_6, type, semiri1382578993at_nat: (nat > nat)).
% 27.95/4.26 thf(func_def_7, type, ord_less_int: (int > int > $o)).
% 27.95/4.26 thf(func_def_8, type, ord_less_nat: (nat > nat > $o)).
% 27.95/4.26 thf(func_def_9, type, ord_less_eq_int: (int > int > $o)).
% 27.95/4.26 thf(func_def_10, type, ord_less_eq_nat: (nat > nat > $o)).
% 27.95/4.26 thf(func_def_11, type, polyno578545843gree_a: (polyno727731844poly_a > nat)).
% 27.95/4.26 thf(func_def_12, type, polyno1674775833reen_a: (polyno727731844poly_a > nat > nat)).
% 27.95/4.26 thf(func_def_13, type, polyno190918219poly_a: (polyno727731844poly_a > $o)).
% 27.95/4.26 thf(func_def_14, type, polyno1372495879olyh_a: (polyno727731844poly_a > nat > $o)).
% 27.95/4.26 thf(func_def_15, type, power_power_int: (int > nat > int)).
% 27.95/4.26 thf(func_def_16, type, power_power_nat: (nat > nat > nat)).
% 27.95/4.26 thf(func_def_17, type, n: nat).
% 27.95/4.26 thf(func_def_18, type, p: polyno727731844poly_a).
% 27.95/4.26 thf(func_def_20, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 27.95/4.26 thf(func_def_21, type, vNOT: ($o > $o)).
% 27.95/4.26 thf(func_def_24, type, vOR: ($o > $o > $o)).
% 27.95/4.26 thf(func_def_25, type, db0: !>[X0: $tType]:(X0)).
% 27.95/4.26 thf(func_def_26, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 27.95/4.26 thf(func_def_27, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 27.95/4.26 thf(func_def_28, type, vAND: ($o > $o > $o)).
% 27.95/4.26 thf(func_def_29, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 27.95/4.26 thf(func_def_30, type, vIMP: ($o > $o > $o)).
% 27.95/4.26 thf(func_def_31, type, db1: !>[X0: $tType]:(X0)).
% 27.95/4.26 thf(func_def_32, type, db2: !>[X0: $tType]:(X0)).
% 27.95/4.26 thf(func_def_33, type, sP0: (nat > nat > nat > $o)).
% 27.95/4.26 thf(func_def_34, type, sP1: (nat > nat > nat > $o)).
% 27.95/4.26 thf(func_def_35, type, sP2: (nat > nat > nat > $o)).
% 27.95/4.26 thf(func_def_36, type, sP3: (int > int > int > $o)).
% 27.95/4.26 thf(func_def_37, type, sP4: (int > int > int > $o)).
% 27.95/4.26 thf(func_def_38, type, sP5: (int > int > int > $o)).
% 27.95/4.26 thf(func_def_39, type, sK6: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_40, type, sK7: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_41, type, sK8: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_42, type, sK9: (nat > nat)).
% 27.95/4.26 thf(func_def_43, type, sK10: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_44, type, sK11: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_45, type, sK12: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_46, type, sK13: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_47, type, sK14: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_48, type, sK15: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_49, type, sK16: (nat > nat)).
% 27.95/4.26 thf(func_def_50, type, sK17: ((nat > $o) > nat)).
% 27.95/4.26 thf(func_def_51, type, sK18: (nat > nat)).
% 27.95/4.26 thf(func_def_52, type, sK19: (nat > nat > nat)).
% 27.95/4.26 thf(func_def_53, type, sK20: (nat > nat > nat)).
% 27.95/4.26 thf(func_def_54, type, sK21: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_55, type, sK22: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_56, type, sK23: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_57, type, sK24: ((nat > nat > $o) > nat)).
% 27.95/4.26 thf(func_def_58, type, sK25: ((nat > $o) > nat > nat)).
% 27.95/4.26 thf(func_def_59, type, sK26: ((nat > $o) > nat > nat)).
% 27.95/4.26 thf(func_def_60, type, sK27: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_61, type, sK28: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_62, type, sK29: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_63, type, sK30: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_64, type, sK31: (nat > nat)).
% 27.95/4.26 thf(func_def_65, type, sK32: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_66, type, sK33: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_67, type, sK34: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_68, type, sK35: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_69, type, sK36: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_70, type, sK37: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_71, type, sK38: ((int > int) > int)).
% 27.95/4.26 thf(func_def_72, type, sK39: ((int > int) > int)).
% 27.95/4.26 thf(func_def_73, type, sK40: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_74, type, sK41: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_75, type, sK42: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_76, type, sK43: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_77, type, sK44: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_78, type, sK45: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_79, type, sK46: ((int > int) > int)).
% 27.95/4.26 thf(func_def_80, type, sK47: ((int > int) > int)).
% 27.95/4.26 thf(func_def_81, type, sK48: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_82, type, sK49: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_83, type, sK50: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_84, type, sK51: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_85, type, sK52: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_86, type, sK53: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_87, type, sK54: ((int > int) > int)).
% 27.95/4.26 thf(func_def_88, type, sK55: ((int > int) > int)).
% 27.95/4.26 thf(func_def_89, type, sK56: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_90, type, sK57: ((nat > nat) > nat)).
% 27.95/4.26 thf(func_def_91, type, sK58: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_92, type, sK59: ((nat > int) > nat)).
% 27.95/4.26 thf(func_def_93, type, sK60: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_94, type, sK61: ((int > nat) > int)).
% 27.95/4.26 thf(func_def_95, type, sK62: ((int > int) > int)).
% 27.95/4.27 thf(func_def_96, type, sK63: ((int > int) > int)).
% 27.95/4.27 thf(func_def_97, type, sK64: (int > int)).
% 27.95/4.27 thf(func_def_98, type, sK65: (nat > nat)).
% 27.95/4.27 thf(func_def_99, type, sK66: (int > int)).
% 27.95/4.27 thf(func_def_100, type, sK67: ((nat > $o) > nat)).
% 27.95/4.27 thf(func_def_101, type, sK68: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_102, type, sK69: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_103, type, sK70: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_104, type, sK71: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_105, type, sK72: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_106, type, sK73: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_107, type, sK74: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_108, type, sK75: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_109, type, sK76: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_110, type, sK77: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_111, type, sK78: (int > nat)).
% 27.95/4.27 thf(func_def_112, type, sK79: (int > nat)).
% 27.95/4.27 thf(func_def_113, type, sK80: ((nat > $o) > nat)).
% 27.95/4.27 thf(func_def_114, type, sK81: (int > nat)).
% 27.95/4.27 thf(func_def_115, type, sK82: (int > nat)).
% 27.95/4.27 thf(func_def_116, type, sK83: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_117, type, sK84: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_118, type, sK85: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_119, type, sK86: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_120, type, sK87: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_121, type, sK88: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_122, type, sK89: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_123, type, sK90: ((nat > nat > $o) > nat)).
% 27.95/4.27 thf(func_def_124, type, sK91: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_125, type, sK92: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_126, type, sK93: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_127, type, sK94: ((int > int > $o) > int)).
% 27.95/4.27 thf(func_def_128, type, sK95: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_129, type, sK96: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_130, type, sK97: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_131, type, sK98: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_132, type, sK99: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_133, type, sK100: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_134, type, sK101: ((int > int) > int)).
% 27.95/4.27 thf(func_def_135, type, sK102: ((int > int) > int)).
% 27.95/4.27 thf(func_def_136, type, sK103: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_137, type, sK104: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_138, type, sK105: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_139, type, sK106: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_140, type, sK107: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_141, type, sK108: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_142, type, sK109: ((int > int) > int)).
% 27.95/4.27 thf(func_def_143, type, sK110: ((int > int) > int)).
% 27.95/4.27 thf(func_def_144, type, sK111: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_145, type, sK112: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_146, type, sK113: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_147, type, sK114: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_148, type, sK115: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_149, type, sK116: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_150, type, sK117: ((int > int) > int)).
% 27.95/4.27 thf(func_def_151, type, sK118: ((int > int) > int)).
% 27.95/4.27 thf(func_def_152, type, sK119: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_153, type, sK120: ((nat > nat) > nat)).
% 27.95/4.27 thf(func_def_154, type, sK121: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_155, type, sK122: ((int > nat) > int)).
% 27.95/4.27 thf(func_def_156, type, sK123: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_157, type, sK124: ((nat > int) > nat)).
% 27.95/4.27 thf(func_def_158, type, sK125: ((int > int) > int)).
% 27.95/4.27 thf(func_def_159, type, sK126: ((int > int) > int)).
% 27.95/4.27 thf(func_def_160, type, sK127: ((nat > $o) > nat > nat > nat)).
% 27.95/4.27 thf(func_def_161, type, sK128: (nat > (nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_162, type, sK129: ((int > $o) > int > int > int)).
% 27.95/4.27 thf(func_def_163, type, sK130: (int > (int > $o) > int > int)).
% 27.95/4.27 thf(func_def_164, type, sK131: (nat > nat > nat)).
% 27.95/4.27 thf(func_def_165, type, sK132: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_166, type, sK133: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_167, type, sK134: (nat > nat)).
% 27.95/4.27 thf(func_def_168, type, sK135: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_169, type, sK136: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_170, type, sK137: (nat > nat > nat)).
% 27.95/4.27 thf(func_def_171, type, sK138: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_172, type, sK139: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_173, type, sK140: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_174, type, sK141: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(func_def_176, type, sK143: ((nat > $o) > nat)).
% 27.95/4.27 thf(func_def_177, type, sK144: ((nat > $o) > nat)).
% 27.95/4.27 thf(func_def_178, type, sK145: ((nat > $o) > nat > nat)).
% 27.95/4.27 thf(f32,axiom,(
% 27.95/4.27 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ (suc @ X1)) => (((polyno578545843gree_a @ X0)) = zero_zero_nat))),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_degree__isnpolyh__Suc)).
% 27.95/4.27 thf(f57,axiom,(
% 27.95/4.27 ! [X0 : nat] : ((X0 != zero_zero_nat) => ~ ! [X1 : nat] : (X0 != ((suc @ X1))))),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_polypow_Ocases)).
% 27.95/4.27 thf(f346,axiom,(
% 27.95/4.27 (ord_less_nat = (^[X0 : nat, X1 : nat] : ((X1 != X0) & (ord_less_eq_nat @ X0 @ X1))))),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_dual__order_Ostrict__iff__order)).
% 27.95/4.27 thf(f349,axiom,(
% 27.95/4.27 (ord_less_nat @ zero_zero_nat @ n)),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 27.95/4.27 thf(f350,axiom,(
% 27.95/4.27 (polyno1372495879olyh_a @ p @ n)),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 27.95/4.27 thf(f351,conjecture,(
% 27.95/4.27 (((polyno578545843gree_a @ p)) = zero_zero_nat)),
% 27.95/4.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2)).
% 27.95/4.27 thf(f352,negated_conjecture,(
% 27.95/4.27 ~ (((polyno578545843gree_a @ p)) = zero_zero_nat)),
% 27.95/4.27 inference(negated_conjecture,[status(cth)],[f351])).
% 27.95/4.27 thf(f405,plain,(
% 27.95/4.27 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ (suc @ X1)) => (((polyno578545843gree_a @ X0)) = zero_zero_nat))),
% 27.95/4.27 inference(rectify,[],[f32])).
% 27.95/4.27 thf(f406,plain,(
% 27.95/4.27 ! [X0 : polyno727731844poly_a,X1 : nat] : ((((polyno1372495879olyh_a @ X0 @ (suc @ X1))) = $true) => (zero_zero_nat = ((polyno578545843gree_a @ X0))))),
% 27.95/4.27 inference(fool_elimination,[],[f405])).
% 27.95/4.27 thf(f894,plain,(
% 27.95/4.27 (ord_less_nat = (^[X0 : nat, X1 : nat] : ((X1 != X0) & (ord_less_eq_nat @ X0 @ X1))))),
% 27.95/4.27 inference(rectify,[],[f346])).
% 27.95/4.27 thf(f895,plain,(
% 27.95/4.27 (ord_less_nat = (^[Y0 : nat]: ((^[Y1 : nat]: ((ord_less_eq_nat @ Y0 @ Y1) & (~ (Y0 = Y1)))))))),
% 27.95/4.27 inference(fool_elimination,[],[f894])).
% 27.95/4.27 thf(f900,plain,(
% 27.95/4.27 (ord_less_nat @ zero_zero_nat @ n)),
% 27.95/4.27 inference(rectify,[],[f349])).
% 27.95/4.27 thf(f901,plain,(
% 27.95/4.27 (((ord_less_nat @ zero_zero_nat @ n)) = $true)),
% 27.95/4.27 inference(fool_elimination,[],[f900])).
% 27.95/4.27 thf(f902,plain,(
% 27.95/4.27 (polyno1372495879olyh_a @ p @ n)),
% 27.95/4.27 inference(rectify,[],[f350])).
% 27.95/4.27 thf(f903,plain,(
% 27.95/4.27 (((polyno1372495879olyh_a @ p @ n)) = $true)),
% 27.95/4.27 inference(fool_elimination,[],[f902])).
% 27.95/4.27 thf(f953,plain,(
% 27.95/4.27 (zero_zero_nat != ((polyno578545843gree_a @ p)))),
% 27.95/4.27 inference(flattening,[],[f352])).
% 27.95/4.27 thf(f968,plain,(
% 27.95/4.27 ! [X0 : polyno727731844poly_a,X1 : nat] : ((zero_zero_nat = ((polyno578545843gree_a @ X0))) | (((polyno1372495879olyh_a @ X0 @ (suc @ X1))) != $true))),
% 27.95/4.27 inference(ennf_transformation,[],[f406])).
% 27.95/4.27 thf(f975,plain,(
% 27.95/4.27 ! [X0 : nat] : (? [X1 : nat] : (((suc @ X1)) = X0) | (zero_zero_nat = X0))),
% 27.95/4.27 inference(ennf_transformation,[],[f57])).
% 27.95/4.27 thf(f1286,plain,(
% 27.95/4.27 ! [X0 : nat] : ((((suc @ (sK9 @ X0))) = X0) | (zero_zero_nat = X0))),
% 27.95/4.27 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK6 @ X0)],[f975])).
% 27.95/4.27 thf(f1408,plain,(
% 27.95/4.27 ( ! [X0 : polyno727731844poly_a,X1 : nat] : ((((polyno1372495879olyh_a @ X0 @ (suc @ X1))) != $true) | (zero_zero_nat = ((polyno578545843gree_a @ X0)))) )),
% 27.95/4.27 inference(cnf_transformation,[],[f968])).
% 27.95/4.27 thf(f1433,plain,(
% 27.95/4.27 ( ! [X0 : nat] : ((((suc @ (sK9 @ X0))) = X0) | (zero_zero_nat = X0)) )),
% 27.95/4.27 inference(cnf_transformation,[],[f1286])).
% 27.95/4.27 thf(f1821,plain,(
% 27.95/4.27 (ord_less_nat = (^[Y0 : nat]: ((^[Y1 : nat]: ((ord_less_eq_nat @ Y0 @ Y1) & (~ (Y0 = Y1)))))))),
% 27.95/4.27 inference(cnf_transformation,[],[f895])).
% 27.95/4.27 thf(f1824,plain,(
% 27.95/4.27 (((ord_less_nat @ zero_zero_nat @ n)) = $true)),
% 27.95/4.27 inference(cnf_transformation,[],[f901])).
% 27.95/4.27 thf(f1825,plain,(
% 27.95/4.27 (((polyno1372495879olyh_a @ p @ n)) = $true)),
% 27.95/4.27 inference(cnf_transformation,[],[f903])).
% 27.95/4.27 thf(f1826,plain,(
% 27.95/4.27 (zero_zero_nat != ((polyno578545843gree_a @ p)))),
% 27.95/4.27 inference(cnf_transformation,[],[f953])).
% 27.95/4.27 thf(f2048,plain,(
% 27.95/4.27 ($true = (((^[Y0 : nat]: ((^[Y1 : nat]: ((ord_less_eq_nat @ Y0 @ Y1) & (~ (Y0 = Y1)))))) @ zero_zero_nat @ n)))),
% 27.95/4.27 inference(definition_unfolding,[],[f1824,f1821])).
% 27.95/4.27 thf(f2106,plain,(
% 27.95/4.27 ($true = (((ord_less_eq_nat @ zero_zero_nat @ n) & (~ (zero_zero_nat = n)))))),
% 27.95/4.27 inference(beta-eta_normalization,[],[f2048])).
% 27.95/4.27 thf(f2107,plain,(
% 27.95/4.27 ($true = ((~ (zero_zero_nat = n))))),
% 27.95/4.27 inference(and_proxy_clausification,[],[f2106])).
% 27.95/4.27 thf(f2109,plain,(
% 27.95/4.27 ($false = ((zero_zero_nat = n)))),
% 27.95/4.27 inference(not_proxy_clausification,[],[f2107])).
% 27.95/4.27 thf(f2110,plain,(
% 27.95/4.27 (zero_zero_nat != n)),
% 27.95/4.27 inference(equality_proxy_clausification,[],[f2109])).
% 27.95/4.27 thf(f5469,plain,(
% 27.95/4.27 ( ! [X0 : nat,X1 : polyno727731844poly_a] : (($true != ((polyno1372495879olyh_a @ X1 @ X0))) | (zero_zero_nat = ((polyno578545843gree_a @ X1))) | (zero_zero_nat = X0)) )),
% 27.95/4.27 inference(constrained_superposition,[],[f1408,f1433])).
% 27.95/4.27 thf(f30316,plain,(
% 27.95/4.27 ($true != $true) | (zero_zero_nat = ((polyno578545843gree_a @ p))) | (zero_zero_nat = n)),
% 27.95/4.27 inference(constrained_superposition,[],[f5469,f1825])).
% 27.95/4.27 thf(f30344,plain,(
% 27.95/4.27 (zero_zero_nat = ((polyno578545843gree_a @ p))) | (zero_zero_nat = n)),
% 27.95/4.27 inference(trivial_inequality_removal,[],[f30316])).
% 27.95/4.27 thf(f30346,plain,(
% 27.95/4.27 (zero_zero_nat = n)),
% 27.95/4.27 inference(forward_subsumption_resolution,[],[f30344,f1826])).
% 27.95/4.27 thf(f30347,plain,(
% 27.95/4.27 $false),
% 27.95/4.27 inference(forward_subsumption_resolution,[],[f30346,f2110])).
% 27.95/4.27 % SZS output end Proof for theBenchmark
% 27.95/4.27 % (4047244)------------------------------
% 27.95/4.27 % (4047244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.95/4.27 % (4047244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.95/4.27 % (4047244)CaDiCaL version: 2.1.3
% 27.95/4.27 % (4047244)Termination reason: Refutation
% 27.95/4.27 % (4047244)Time elapsed: 3.955 s
% 27.95/4.27 % (4047244)Peak memory usage: 31 MB
% 27.95/4.27 % (4047244)Instructions burned: 11121 (million)
% 27.95/4.27 % (4047238)Success in time 4.022 s
% 27.95/4.27 % Vampire exiting
%------------------------------------------------------------------------------