%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT294^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 07:49:09 AM UTC 2026
% Result : Theorem 40.21s 6.00s
% Output : Refutation 40.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT294^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.19 % Computer : n010.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Tue Sep 29 18:24:18 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.22 Running first-order model finding
% 0.13/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/0.96 % (3236908)Will run a generic schedule for satisfiability detection.
% 3.94/0.96 % (3236913)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=810941792_2999 on theBenchmark for (2999ds/0Mi)
% 3.94/0.96 % Exception at run slice level
% 3.94/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.96 % (3236914)% WARNING: option uhcvi not known.
% 3.94/0.96 % (3236918)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2576483237:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.96 % (3236914)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1317164921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.94/0.96 % (3236915)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=322534552:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.94/0.96 % (3236916)dis+10_1_sil=32000:sp=arity:random_seed=856347300:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.94/0.96 % (3236917)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1152890195:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.94/0.96 % (3236914)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.96 % (3236917)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.94/0.96 % (3236919)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2338660596:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.94/0.96 % (3236914)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.94/0.96 % (3236921)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3401376772:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.94/0.96 % Exception at run slice level
% 3.94/0.96 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.94/0.96 % (3236929)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1437239687:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.94/0.96 % (3236916)Instruction limit reached!
% 3.94/0.96 % (3236916)------------------------------
% 3.94/0.96 % (3236916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.96 % (3236916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.96 % (3236916)CaDiCaL version: 2.1.3
% 3.94/0.96 % (3236916)Termination reason: Instruction limit
% 3.94/0.96 % (3236916)Termination phase: Saturation
% 3.94/0.96 % (3236916)Time elapsed: 0.054 s
% 3.94/0.96 % (3236916)Peak memory usage: 12 MB
% 3.94/0.96 % (3236916)Instructions burned: 104 (million)
% 3.94/0.96 % (3236917)Instruction limit reached!
% 3.94/0.96 % (3236917)------------------------------
% 3.94/0.96 % (3236917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.96 % (3236917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.96 % (3236917)CaDiCaL version: 2.1.3
% 3.94/0.96 % (3236917)Termination reason: Instruction limit
% 3.94/0.96 % (3236917)Termination phase: Saturation
% 3.94/0.96 % (3236917)Time elapsed: 0.060 s
% 3.94/0.96 % (3236917)Peak memory usage: 12 MB
% 3.94/0.96 % (3236917)Instructions burned: 117 (million)
% 3.94/0.96 % (3236918)Instruction limit reached!
% 3.94/0.96 % (3236918)------------------------------
% 3.94/0.96 % (3236918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.96 % (3236918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.96 % (3236918)CaDiCaL version: 2.1.3
% 3.94/0.96 % (3236918)Termination reason: Instruction limit
% 3.94/0.96 % (3236918)Termination phase: Saturation
% 3.94/0.96 % (3236918)Time elapsed: 0.069 s
% 3.94/0.96 % (3236918)Peak memory usage: 12 MB
% 3.94/0.96 % (3236918)Instructions burned: 133 (million)
% 3.94/0.96 % (3236919)Instruction limit reached!
% 3.94/0.96 % (3236919)------------------------------
% 3.94/0.96 % (3236919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.94/0.96 % (3236919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/0.96 % (3236919)CaDiCaL version: 2.1.3
% 3.94/0.96 % (3236919)Termination reason: Instruction limit
% 3.94/0.96 % (3236919)Termination phase: Saturation
% 3.94/0.96 % (3236919)Time elapsed: 0.071 s
% 3.94/0.96 % (3236919)Peak memory usage: 13 MB
% 3.94/0.96 % (3236919)Instructions burned: 163 (million)
% 3.94/0.96 % (3236931)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=3769386869:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 23.76/3.68 % (3236931)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 23.76/3.68 % (3236931)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 23.76/3.68 % (3236932)ott-21_1_sil=16000:fs=off:random_seed=1198837472:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 23.76/3.68 % (3236934)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3772488374:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 23.76/3.68 % Exception at run slice level
% 23.76/3.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.76/3.68 % (3236933)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2440566926:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 23.76/3.68 % (3236938)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2693404071:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 23.76/3.68 % (3236929)Instruction limit reached!
% 23.76/3.68 % (3236929)------------------------------
% 23.76/3.68 % (3236929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.76/3.68 % (3236929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.76/3.68 % (3236929)CaDiCaL version: 2.1.3
% 23.76/3.68 % (3236929)Termination reason: Instruction limit
% 23.76/3.68 % (3236929)Termination phase: Saturation
% 23.76/3.68 % (3236929)Time elapsed: 0.072 s
% 23.76/3.68 % (3236929)Peak memory usage: 13 MB
% 23.76/3.68 % (3236929)Instructions burned: 132 (million)
% 23.76/3.68 % (3236941)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=345996810:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 23.76/3.68 % Exception at run slice level
% 23.76/3.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.76/3.68 % (3236943)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=2542516226: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)
% 23.76/3.68 % (3236943)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 23.76/3.68 % (3236932)Instruction limit reached!
% 23.76/3.68 % (3236932)------------------------------
% 23.76/3.68 % (3236932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.76/3.68 % (3236932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.76/3.68 % (3236932)CaDiCaL version: 2.1.3
% 23.76/3.68 % (3236932)Termination reason: Instruction limit
% 23.76/3.68 % (3236932)Termination phase: Saturation
% 23.76/3.68 % (3236932)Time elapsed: 0.090 s
% 23.76/3.68 % (3236932)Peak memory usage: 12 MB
% 23.76/3.68 % (3236932)Instructions burned: 180 (million)
% 23.76/3.68 % (3236945)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3444283335:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 23.76/3.68 % (3236945)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 23.76/3.68 % (3236933)Instruction limit reached!
% 23.76/3.68 % (3236933)------------------------------
% 23.76/3.68 % (3236933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.76/3.68 % (3236933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.76/3.68 % (3236933)CaDiCaL version: 2.1.3
% 23.76/3.68 % (3236933)Termination reason: Instruction limit
% 23.76/3.68 % (3236933)Termination phase: Saturation
% 23.76/3.68 % (3236933)Time elapsed: 0.253 s
% 23.76/3.68 % (3236933)Peak memory usage: 13 MB
% 23.76/3.68 % (3236933)Instructions burned: 478 (million)
% 23.76/3.68 % (3236956)fmb+10_1_sil=64000:random_seed=2024228833:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 23.76/3.68 % (3236956)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 23.76/3.68 % Exception at run slice level
% 23.76/3.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 23.76/3.68 % (3236964)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3890137454:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 23.76/3.68 % Exception at run slice level
% 23.76/3.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3236938)Instruction limit reached!
% 40.21/5.99 % (3236938)------------------------------
% 40.21/5.99 % (3236938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236938)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236938)Termination reason: Instruction limit
% 40.21/5.99 % (3236938)Termination phase: Saturation
% 40.21/5.99 % (3236938)Time elapsed: 0.305 s
% 40.21/5.99 % (3236938)Peak memory usage: 16 MB
% 40.21/5.99 % (3236938)Instructions burned: 1184 (million)
% 40.21/5.99 % (3236931)Instruction limit reached!
% 40.21/5.99 % (3236931)------------------------------
% 40.21/5.99 % (3236931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236931)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236931)Termination reason: Instruction limit
% 40.21/5.99 % (3236931)Termination phase: Saturation
% 40.21/5.99 % (3236931)Time elapsed: 0.324 s
% 40.21/5.99 % (3236931)Peak memory usage: 14 MB
% 40.21/5.99 % (3236931)Instructions burned: 685 (million)
% 40.21/5.99 % (3236972)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2984264623:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3236979)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=948900711:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 40.21/5.99 % (3236979)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.21/5.99 % (3236980)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2225522488:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 40.21/5.99 % (3236980)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.21/5.99 % (3236980)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 40.21/5.99 % (3236983)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2266587758:i=6324_2995 on theBenchmark for (2995ds/6324Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3236995)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=848351766:fmbsr=2.30978:i=2174_2995 on theBenchmark for (2995ds/2174Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3237007)ott-2_1_sil=16000:newcnf=on:random_seed=981928254:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2995 on theBenchmark for (2995ds/869Mi)
% 40.21/5.99 % (3237007)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.21/5.99 % (3236943)Instruction limit reached!
% 40.21/5.99 % (3236943)------------------------------
% 40.21/5.99 % (3236943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236943)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236943)Termination reason: Instruction limit
% 40.21/5.99 % (3236943)Termination phase: Saturation
% 40.21/5.99 % (3236943)Time elapsed: 0.338 s
% 40.21/5.99 % (3236943)Peak memory usage: 15 MB
% 40.21/5.99 % (3236943)Instructions burned: 692 (million)
% 40.21/5.99 % (3237029)ott+10_1_sil=32000:tgt=ground:random_seed=2366657437:i=5114:av=off_2994 on theBenchmark for (2994ds/5114Mi)
% 40.21/5.99 % (3236945)Instruction limit reached!
% 40.21/5.99 % (3236945)------------------------------
% 40.21/5.99 % (3236945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236945)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236945)Termination reason: Instruction limit
% 40.21/5.99 % (3236945)Termination phase: Saturation
% 40.21/5.99 % (3236945)Time elapsed: 0.475 s
% 40.21/5.99 % (3236945)Peak memory usage: 15 MB
% 40.21/5.99 % (3236945)Instructions burned: 879 (million)
% 40.21/5.99 % (3237068)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3995130233:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3237074)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=853912901:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 40.21/5.99 % (3237074)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 40.21/5.99 % (3237007)Instruction limit reached!
% 40.21/5.99 % (3237007)------------------------------
% 40.21/5.99 % (3237007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3237007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3237007)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3237007)Termination reason: Instruction limit
% 40.21/5.99 % (3237007)Termination phase: Saturation
% 40.21/5.99 % (3237007)Time elapsed: 0.550 s
% 40.21/5.99 % (3237007)Peak memory usage: 16 MB
% 40.21/5.99 % (3237007)Instructions burned: 869 (million)
% 40.21/5.99 % (3237130)dis+21_1_sil=32000:sas=cadical:random_seed=3173390130:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 40.21/5.99 % (3236980)Instruction limit reached!
% 40.21/5.99 % (3236980)------------------------------
% 40.21/5.99 % (3236980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236980)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236980)Termination reason: Instruction limit
% 40.21/5.99 % (3236980)Termination phase: Saturation
% 40.21/5.99 % (3236980)Time elapsed: 1.071 s
% 40.21/5.99 % (3236980)Peak memory usage: 18 MB
% 40.21/5.99 % (3236980)Instructions burned: 1472 (million)
% 40.21/5.99 % (3237143)ott+11_1_sil=16000:gs=on:random_seed=2786718370:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2984 on theBenchmark for (2984ds/2251Mi)
% 40.21/5.99 % (3237143)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 40.21/5.99 % (3236979)Instruction limit reached!
% 40.21/5.99 % (3236979)------------------------------
% 40.21/5.99 % (3236979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3236979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3236979)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3236979)Termination reason: Instruction limit
% 40.21/5.99 % (3236979)Termination phase: Saturation
% 40.21/5.99 % (3236979)Time elapsed: 1.624 s
% 40.21/5.99 % (3236979)Peak memory usage: 21 MB
% 40.21/5.99 % (3236979)Instructions burned: 5132 (million)
% 40.21/5.99 % (3237158)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3242181556:fmbsr=1.6:i=67534_2979 on theBenchmark for (2979ds/67534Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3237160)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1402217775:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 40.21/5.99 % (3237130)Instruction limit reached!
% 40.21/5.99 % (3237130)------------------------------
% 40.21/5.99 % (3237130)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3237130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3237130)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3237130)Termination reason: Instruction limit
% 40.21/5.99 % (3237130)Termination phase: Saturation
% 40.21/5.99 % (3237130)Time elapsed: 2.150 s
% 40.21/5.99 % (3237130)Peak memory usage: 21 MB
% 40.21/5.99 % (3237130)Instructions burned: 3774 (million)
% 40.21/5.99 % (3237167)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=2198885238:i=29340_2967 on theBenchmark for (2967ds/29340Mi)
% 40.21/5.99 % (3237074)Instruction limit reached!
% 40.21/5.99 % (3237074)------------------------------
% 40.21/5.99 % (3237074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3237074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3237074)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3237074)Termination reason: Instruction limit
% 40.21/5.99 % (3237074)Termination phase: Saturation
% 40.21/5.99 % (3237074)Time elapsed: 2.679 s
% 40.21/5.99 % (3237074)Peak memory usage: 20 MB
% 40.21/5.99 % (3237074)Instructions burned: 3512 (million)
% 40.21/5.99 % (3237169)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1228974858:i=5211_2965 on theBenchmark for (2965ds/5211Mi)
% 40.21/5.99 % (3237143)Instruction limit reached!
% 40.21/5.99 % (3237143)------------------------------
% 40.21/5.99 % (3237143)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/5.99 % (3237143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/5.99 % (3237143)CaDiCaL version: 2.1.3
% 40.21/5.99 % (3237143)Termination reason: Instruction limit
% 40.21/5.99 % (3237143)Termination phase: Saturation
% 40.21/5.99 % (3237143)Time elapsed: 1.918 s
% 40.21/5.99 % (3237143)Peak memory usage: 20 MB
% 40.21/5.99 % (3237143)Instructions burned: 2252 (million)
% 40.21/5.99 % (3237171)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=58392056:i=5497:nm=2_2965 on theBenchmark for (2965ds/5497Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/5.99 % (3237173)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=3782973245:fmbsr=2:i=46332_2964 on theBenchmark for (2964ds/46332Mi)
% 40.21/5.99 % Exception at run slice level
% 40.21/5.99 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/6.00 % (3237175)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2959351950:i=14071_2964 on theBenchmark for (2964ds/14071Mi)
% 40.21/6.00 % Exception at run slice level
% 40.21/6.00 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.21/6.00 % (3237177)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3049190516:i=22565:add=on:rawr=on_2963 on theBenchmark for (2963ds/22565Mi)
% 40.21/6.00 % (3237029)Instruction limit reached!
% 40.21/6.00 % (3237029)------------------------------
% 40.21/6.00 % (3237029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/6.00 % (3237029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/6.00 % (3237029)CaDiCaL version: 2.1.3
% 40.21/6.00 % (3237029)Termination reason: Instruction limit
% 40.21/6.00 % (3237029)Termination phase: Saturation
% 40.21/6.00 % (3237029)Time elapsed: 3.918 s
% 40.21/6.00 % (3237029)Peak memory usage: 31 MB
% 40.21/6.00 % (3237029)Instructions burned: 5118 (million)
% 40.21/6.00 % (3237185)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2338999025:i=8173:av=off_2955 on theBenchmark for (2955ds/8173Mi)
% 40.21/6.00 % (3237160)Instruction limit reached!
% 40.21/6.00 % (3237160)------------------------------
% 40.21/6.00 % (3237160)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/6.00 % (3237160)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/6.00 % (3237160)CaDiCaL version: 2.1.3
% 40.21/6.00 % (3237160)Termination reason: Instruction limit
% 40.21/6.00 % (3237160)Termination phase: Saturation
% 40.21/6.00 % (3237160)Time elapsed: 3.622 s
% 40.21/6.00 % (3237160)Peak memory usage: 24 MB
% 40.21/6.00 % (3237160)Instructions burned: 4592 (million)
% 40.21/6.00 % (3237167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3236908-3237167"...
% 40.21/6.00 % (3237167)...printing done.
% 40.21/6.00 % (3237167)Refutation found. Thanks to Tanya!
% 40.21/6.00 % SZS status Theorem for theBenchmark
% 40.21/6.00 % SZS output start Proof for theBenchmark
% 40.21/6.00 thf(type_def_5, type, 'type/ind_types/list': $tType > $tType).
% 40.21/6.00 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 40.21/6.00 thf(type_def_7, type, sK2: $tType).
% 40.21/6.00 thf(func_def_0, type, 'const/lists/ALL': !>[X0: $tType]:(((X0 > $o) > 'type/ind_types/list' @ X0 > $o))).
% 40.21/6.00 thf(func_def_1, type, 'const/ind_types/NIL': !>[X0: $tType]:('type/ind_types/list' @ X0)).
% 40.21/6.00 thf(func_def_2, type, 'const/ind_types/CONS': !>[X0: $tType]:((X0 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_6, type, vAND: ($o > $o > $o)).
% 40.21/6.00 thf(func_def_7, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 40.21/6.00 thf(func_def_8, type, sK0: !>[X0: $tType]:((('type/ind_types/list' @ X0 > $o) > X0))).
% 40.21/6.00 thf(func_def_9, type, sK1: !>[X0: $tType]:((('type/ind_types/list' @ X0 > $o) > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_10, type, sK3: 'type/ind_types/list' @ sK2).
% 40.21/6.00 thf(func_def_11, type, vNOT: ($o > $o)).
% 40.21/6.00 thf(func_def_12, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 40.21/6.00 thf(func_def_13, type, db0: !>[X0: $tType]:(X0)).
% 40.21/6.00 thf(func_def_14, type, sK4: !>[X0: $tType]:((('type/ind_types/list' @ X0 > 'type/ind_types/list' @ sK2 > $o) > 'type/ind_types/list' @ sK2))).
% 40.21/6.00 thf(func_def_15, type, db1: !>[X0: $tType]:(X0)).
% 40.21/6.00 thf(func_def_16, type, sK5: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_17, type, db2: !>[X0: $tType]:(X0)).
% 40.21/6.00 thf(func_def_19, type, sK7: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > 'type/ind_types/list' @ X0 > sK2))).
% 40.21/6.00 thf(func_def_20, type, sK8: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_21, type, sK9: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > 'type/ind_types/list' @ X0 > sK2))).
% 40.21/6.00 thf(func_def_22, type, db3: !>[X0: $tType]:(X0)).
% 40.21/6.00 thf(func_def_23, type, sK10: ('type/ind_types/list' @ sK2 > 'type/ind_types/list' @ sK2)).
% 40.21/6.00 thf(func_def_24, type, sK11: !>[X0: $tType]:((('type/ind_types/list' @ X0 > 'type/ind_types/list' @ sK2 > $o) > 'type/ind_types/list' @ sK2))).
% 40.21/6.00 thf(func_def_25, type, sK12: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_26, type, sK13: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > 'type/ind_types/list' @ X0 > sK2))).
% 40.21/6.00 thf(func_def_27, type, sK14: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > 'type/ind_types/list' @ X0 > sK2))).
% 40.21/6.00 thf(func_def_28, type, sK15: !>[X0: $tType, X1: $tType]:((('type/ind_types/list' @ X1 > 'type/ind_types/list' @ X0 > 'type/ind_types/list' @ sK2 > $o) > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_29, type, sK16: !>[X0: $tType]:((('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_30, type, sK17: !>[X0: $tType, X1: $tType]:(('type/ind_types/list' @ X0 > ('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_31, type, sK18: !>[X0: $tType, X1: $tType]:(('type/ind_types/list' @ X0 > ('type/ind_types/list' @ X0 > sK2 > $o) > sK2))).
% 40.21/6.00 thf(func_def_32, type, sK19: ('type/ind_types/list' @ sK2 > 'type/ind_types/list' @ sK2)).
% 40.21/6.00 thf(func_def_33, type, sK20: ('type/ind_types/list' @ sK2 > 'type/ind_types/list' @ sK2)).
% 40.21/6.00 thf(func_def_34, type, sK21: 'type/ind_types/list' @ sK2).
% 40.21/6.00 thf(func_def_35, type, sK22: 'type/ind_types/list' @ sK2).
% 40.21/6.00 thf(func_def_36, type, sK23: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_37, type, sK24: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_38, type, sK25: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_39, type, sK26: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_40, type, sK27: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_41, type, sK28: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_42, type, sK29: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_43, type, sK30: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_44, type, sK31: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_45, type, sK32: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_46, type, sK33: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_47, type, sK34: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_48, type, sK35: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(func_def_49, type, sK36: ('type/ind_types/list' @ sK2 > 'type/ind_types/list' @ sK2)).
% 40.21/6.00 thf(func_def_50, type, sK37: !>[X0: $tType]:(('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0))).
% 40.21/6.00 thf(f1,axiom,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X2 : 'type/ind_types/list' @ X0] : (X1 @ X2))),
% 40.21/6.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/ind_types/list_INDUCT_')).
% 40.21/6.00 thf(f2,axiom,(
% 40.21/6.00 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0] : ((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = ('const/lists/ALL' @ X0 @ X2 @ X3) & (X2 @ X1))),
% 40.21/6.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ALL_1')).
% 40.21/6.00 thf(f3,axiom,(
% 40.21/6.00 ! [X0 : $tType,X1 : (X0 > $o)] : ((('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0)) = $true)),
% 40.21/6.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ALL_0')).
% 40.21/6.00 thf(f4,conjecture,(
% 40.21/6.00 ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X2 : X0] : ($true)) @ X1)),
% 40.21/6.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/lists/ALL_T_')).
% 40.21/6.00 thf(f5,negated_conjecture,(
% 40.21/6.00 ~ ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X2 : X0] : ($true)) @ X1)),
% 40.21/6.00 inference(negated_conjecture,[status(cth)],[f4])).
% 40.21/6.00 thf(f6,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((X1 @ X3) => (X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) & (X1 @ 'const/ind_types/NIL' @ X0)) => ! [X4 : 'type/ind_types/list' @ X0] : (X1 @ X4))),
% 40.21/6.00 inference(rectify,[],[f1])).
% 40.21/6.00 thf(f7,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : ((! [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((((X1 @ X3)) = $true) => (((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) = $true)) & (((X1 @ 'const/ind_types/NIL' @ X0)) = $true)) => ! [X4 : 'type/ind_types/list' @ X0] : (((X1 @ X4)) = $true))),
% 40.21/6.00 inference(fool_elimination,[],[f6])).
% 40.21/6.00 thf(f8,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0] : ((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = ('const/lists/ALL' @ X0 @ X2 @ X3) & (X2 @ X1))),
% 40.21/6.00 inference(rectify,[],[f2])).
% 40.21/6.00 thf(f9,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0] : ((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = (((X2 @ X1) & ('const/lists/ALL' @ X0 @ X2 @ X3))))),
% 40.21/6.00 inference(fool_elimination,[],[f8])).
% 40.21/6.00 thf(f10,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : (X0 > $o)] : ((('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0)) = $true)),
% 40.21/6.00 inference(fool_elimination,[],[f3])).
% 40.21/6.00 thf(f11,plain,(
% 40.21/6.00 ~ ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ('const/lists/ALL' @ X0 @ (^[X2 : X0] : ($true)) @ X1)),
% 40.21/6.00 inference(rectify,[],[f5])).
% 40.21/6.00 thf(f12,plain,(
% 40.21/6.00 ~ ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ($true = (('const/lists/ALL' @ X0 @ (^[Y0 : X0]: ($true)) @ X1)))),
% 40.21/6.00 inference(fool_elimination,[],[f11])).
% 40.21/6.00 thf(f13,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : (! [X4 : 'type/ind_types/list' @ X0] : (((X1 @ X4)) = $true) | (? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) != $true) & (((X1 @ X3)) = $true)) | (((X1 @ 'const/ind_types/NIL' @ X0)) != $true)))),
% 40.21/6.00 inference(ennf_transformation,[],[f7])).
% 40.21/6.00 thf(f14,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : (! [X4 : 'type/ind_types/list' @ X0] : (((X1 @ X4)) = $true) | ? [X2 : X0,X3 : 'type/ind_types/list' @ X0] : ((((X1 @ ('const/ind_types/CONS' @ X0 @ X2 @ X3))) != $true) & (((X1 @ X3)) = $true)) | (((X1 @ 'const/ind_types/NIL' @ X0)) != $true))),
% 40.21/6.00 inference(flattening,[],[f13])).
% 40.21/6.00 thf(f15,plain,(
% 40.21/6.00 ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0] : ($true != (('const/lists/ALL' @ X0 @ (^[Y0 : X0]: ($true)) @ X1)))),
% 40.21/6.00 inference(ennf_transformation,[],[f12])).
% 40.21/6.00 thf(f16,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : (! [X2 : 'type/ind_types/list' @ X0] : (((X1 @ X2)) = $true) | ? [X3 : X0,X4 : 'type/ind_types/list' @ X0] : (($true != ((X1 @ ('const/ind_types/CONS' @ X0 @ X3 @ X4)))) & (((X1 @ X4)) = $true)) | (((X1 @ 'const/ind_types/NIL' @ X0)) != $true))),
% 40.21/6.00 inference(rectify,[],[f14])).
% 40.21/6.00 thf(f17,plain,(
% 40.21/6.00 ! [X0 : $tType,X1 : ('type/ind_types/list' @ X0 > $o)] : (! [X2 : 'type/ind_types/list' @ X0] : (((X1 @ X2)) = $true) | (($true != ((X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))))) & ($true = ((X1 @ (sK1 @ X0 @ X1))))) | (((X1 @ 'const/ind_types/NIL' @ X0)) != $true))),
% 40.21/6.00 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X4,sK1 @ X0 @ X1),skolemize(X4,sK1 @ X0 @ X1)],[f16])).
% 40.21/6.00 thf(f18,plain,(
% 40.21/6.00 ($true != (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3)))),
% 40.21/6.00 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f15])).
% 40.21/6.00 thf(f19,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : ('type/ind_types/list' @ X0 > $o)] : ((((X1 @ 'const/ind_types/NIL' @ X0)) != $true) | ($true = ((X1 @ (sK1 @ X0 @ X1)))) | (((X1 @ X2)) = $true)) )),
% 40.21/6.00 inference(cnf_transformation,[],[f17])).
% 40.21/6.00 thf(f20,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : ('type/ind_types/list' @ X0 > $o)] : (($true != ((X1 @ ('const/ind_types/CONS' @ X0 @ (sK0 @ X0 @ X1) @ (sK1 @ X0 @ X1))))) | (((X1 @ X2)) = $true) | (((X1 @ 'const/ind_types/NIL' @ X0)) != $true)) )),
% 40.21/6.00 inference(cnf_transformation,[],[f17])).
% 40.21/6.00 thf(f21,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0,X1 : X0] : (((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = (((X2 @ X1) & ('const/lists/ALL' @ X0 @ X2 @ X3))))) )),
% 40.21/6.00 inference(cnf_transformation,[],[f9])).
% 40.21/6.00 thf(f22,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X1 : (X0 > $o)] : (((('const/lists/ALL' @ X0 @ X1 @ 'const/ind_types/NIL' @ X0)) = $true)) )),
% 40.21/6.00 inference(cnf_transformation,[],[f10])).
% 40.21/6.00 thf(f23,plain,(
% 40.21/6.00 ($true != (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ sK3)))),
% 40.21/6.00 inference(cnf_transformation,[],[f18])).
% 40.21/6.00 thf(f26,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0,X1 : X0] : (((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = $true) | ((((X2 @ X1) & ('const/lists/ALL' @ X0 @ X2 @ X3))) = $false)) )),
% 40.21/6.00 inference(iff_proxy_clausification,[],[f21])).
% 40.21/6.00 thf(f30,plain,(
% 40.21/6.00 ( ! [X0 : $tType,X2 : (X0 > $o),X3 : 'type/ind_types/list' @ X0,X1 : X0] : (((('const/lists/ALL' @ X0 @ X2 @ ('const/ind_types/CONS' @ X0 @ X1 @ X3))) = $true) | ((('const/lists/ALL' @ X0 @ X2 @ X3)) = $false) | (((X2 @ X1)) = $false)) )),
% 40.21/6.00 inference(and_proxy_clausification,[],[f26])).
% 40.21/6.00 thf(f50,plain,(
% 40.21/6.00 ($true = (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))))),
% 40.21/6.00 inference(unit_resulting_resolution,[],[f19,f23,f22])).
% 40.21/6.00 thf(f2612,plain,(
% 40.21/6.00 ($true != (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ ('const/ind_types/CONS' @ sK2 @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true))))))))),
% 40.21/6.00 inference(unit_resulting_resolution,[],[f20,f23,f22])).
% 40.21/6.00 thf(f26464,plain,(
% 40.21/6.00 ($true != $true) | ($false = (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true))))))) | ($false = (((^[Y0 : sK2]: ($true)) @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))))),
% 40.21/6.00 inference(constrained_superposition,[],[f2612,f30])).
% 40.21/6.00 thf(f26516,plain,(
% 40.21/6.00 ($false = (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true))))))) | ($false = (((^[Y0 : sK2]: ($true)) @ (sK0 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))))),
% 40.21/6.00 inference(trivial_inequality_removal,[],[f26464])).
% 40.21/6.00 thf(f26517,plain,(
% 40.21/6.00 ($false = (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true))))))) | ($true = $false)),
% 40.21/6.00 inference(beta-eta_normalization,[],[f26516])).
% 40.21/6.00 thf(f26518,plain,(
% 40.21/6.00 ($false = (('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)) @ (sK1 @ sK2 @ ('const/lists/ALL' @ sK2 @ (^[Y0 : sK2]: ($true)))))))),
% 40.21/6.00 inference(trivial_inequality_removal,[],[f26517])).
% 40.21/6.00 thf(f26600,plain,(
% 40.21/6.00 ($true = $false)),
% 40.21/6.00 inference(constrained_superposition,[],[f50,f26518])).
% 40.21/6.00 thf(f26688,plain,(
% 40.21/6.00 $false),
% 40.21/6.00 inference(trivial_inequality_removal,[],[f26600])).
% 40.21/6.00 % SZS output end Proof for theBenchmark
% 40.21/6.00 % (3237167)------------------------------
% 40.21/6.00 % (3237167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.21/6.00 % (3237167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.21/6.00 % (3237167)CaDiCaL version: 2.1.3
% 40.21/6.00 % (3237167)Termination reason: Refutation
% 40.21/6.00 % (3237167)Time elapsed: 2.488 s
% 40.21/6.00 % (3237167)Peak memory usage: 21 MB
% 40.21/6.00 % (3237167)Instructions burned: 6092 (million)
% 40.21/6.00 % (3236908)Success in time 5.763 s
% 40.21/6.00 % Vampire exiting
%------------------------------------------------------------------------------