%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU933^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 08:34:25 AM UTC 2026
% Result : Theorem 12.90s 2.10s
% Output : Refutation 12.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU933^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.17 % Computer : n006.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 14:46:39 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 Running first-order model finding
% 0.09/0.20 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
% 3.41/0.70 % (824457)Will run a generic schedule for satisfiability detection.
% 3.41/0.70 % (824467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=775666752:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.41/0.70 % (824462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=490450312_2999 on theBenchmark for (2999ds/0Mi)
% 3.41/0.70 % (824464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=828296689:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.41/0.70 % (824465)dis+10_1_sil=32000:sp=arity:random_seed=609115129:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.41/0.70 % (824466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1919090193:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.41/0.70 % (824468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3638032695:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.41/0.70 % Exception at run slice level
% 3.41/0.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.41/0.70 % (824466)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.41/0.70 % (824463)% WARNING: option uhcvi not known.
% 3.41/0.70 % (824463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2500529899:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.41/0.70 % (824463)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.41/0.70 % (824463)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.41/0.70 % (824475)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=225897427:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 3.41/0.70 % Exception at run slice level
% 3.41/0.70 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 3.41/0.70 % (824467)Instruction limit reached!
% 3.41/0.70 % (824467)------------------------------
% 3.41/0.70 % (824467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.70 % (824467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.70 % (824467)CaDiCaL version: 2.1.3
% 3.41/0.70 % (824467)Termination reason: Instruction limit
% 3.41/0.70 % (824467)Termination phase: Saturation
% 3.41/0.70 % (824467)Time elapsed: 0.033 s
% 3.41/0.70 % (824467)Peak memory usage: 12 MB
% 3.41/0.70 % (824467)Instructions burned: 132 (million)
% 3.41/0.70 % (824464)Refutation not found, incomplete strategy
% 3.41/0.70 % (824464)------------------------------
% 3.41/0.70 % (824464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.70 % (824464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.70 % (824464)CaDiCaL version: 2.1.3
% 3.41/0.70 % (824464)Termination reason: Refutation not found, incomplete strategy
% 3.41/0.70 % (824464)Time elapsed: 0.034 s
% 3.41/0.70 % (824464)Peak memory usage: 12 MB
% 3.41/0.70 % (824464)Instructions burned: 63 (million)
% 3.41/0.70 % (824464)------------------------------
% 3.41/0.70 % (824464)------------------------------
% 3.41/0.70 % (824479)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=3316049097:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 3.41/0.70 % (824479)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 3.41/0.70 % (824479)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 3.41/0.70 % (824478)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3033080974:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 3.41/0.70 % (824465)Instruction limit reached!
% 3.41/0.70 % (824465)------------------------------
% 3.41/0.70 % (824465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.41/0.70 % (824465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.41/0.70 % (824465)CaDiCaL version: 2.1.3
% 3.41/0.70 % (824465)Termination reason: Instruction limit
% 3.41/0.70 % (824465)Termination phase: Saturation
% 3.41/0.70 % (824465)Time elapsed: 0.050 s
% 3.41/0.70 % (824465)Peak memory usage: 12 MB
% 3.41/0.70 % (824465)Instructions burned: 105 (million)
% 3.41/0.70 % (824481)ott-21_1_sil=16000:fs=off:random_seed=3065655474:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 12.90/2.09 % (824466)Instruction limit reached!
% 12.90/2.09 % (824466)------------------------------
% 12.90/2.09 % (824466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.09 % (824466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.09 % (824466)CaDiCaL version: 2.1.3
% 12.90/2.09 % (824466)Termination reason: Instruction limit
% 12.90/2.09 % (824466)Termination phase: Saturation
% 12.90/2.09 % (824466)Time elapsed: 0.057 s
% 12.90/2.09 % (824466)Peak memory usage: 12 MB
% 12.90/2.09 % (824466)Instructions burned: 117 (million)
% 12.90/2.09 % (824483)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1179802649:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 12.90/2.09 % (824485)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2571282064:fmbsr=1.3:i=865:ins=25_2999 on theBenchmark for (2999ds/865Mi)
% 12.90/2.09 % Exception at run slice level
% 12.90/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.09 % (824468)Instruction limit reached!
% 12.90/2.09 % (824468)------------------------------
% 12.90/2.09 % (824468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.09 % (824468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.09 % (824468)CaDiCaL version: 2.1.3
% 12.90/2.09 % (824468)Termination reason: Instruction limit
% 12.90/2.09 % (824468)Termination phase: Saturation
% 12.90/2.09 % (824468)Time elapsed: 0.078 s
% 12.90/2.09 % (824468)Peak memory usage: 13 MB
% 12.90/2.09 % (824468)Instructions burned: 161 (million)
% 12.90/2.09 % (824488)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1016615572:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 12.90/2.09 % (824489)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=777192614:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 12.90/2.09 % Exception at run slice level
% 12.90/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.09 % (824478)Instruction limit reached!
% 12.90/2.09 % (824478)------------------------------
% 12.90/2.09 % (824478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.09 % (824478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.09 % (824478)CaDiCaL version: 2.1.3
% 12.90/2.09 % (824478)Termination reason: Instruction limit
% 12.90/2.09 % (824478)Termination phase: Saturation
% 12.90/2.09 % (824478)Time elapsed: 0.067 s
% 12.90/2.09 % (824478)Peak memory usage: 13 MB
% 12.90/2.09 % (824478)Instructions burned: 133 (million)
% 12.90/2.09 % (824483)Refutation not found, incomplete strategy
% 12.90/2.09 % (824483)------------------------------
% 12.90/2.09 % (824483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.09 % (824483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.09 % (824483)CaDiCaL version: 2.1.3
% 12.90/2.09 % (824483)Termination reason: Refutation not found, incomplete strategy
% 12.90/2.09 % (824483)Time elapsed: 0.046 s
% 12.90/2.09 % (824483)Peak memory usage: 12 MB
% 12.90/2.09 % (824483)Instructions burned: 81 (million)
% 12.90/2.09 % (824483)------------------------------
% 12.90/2.09 % (824483)------------------------------
% 12.90/2.09 % (824492)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=4272996042: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)
% 12.90/2.09 % (824492)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.90/2.09 % (824493)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3057168009:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 12.90/2.09 % (824493)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.90/2.09 % (824494)fmb+10_1_sil=64000:random_seed=1463809049:i=22061:nm=2:gsp=on_2998 on theBenchmark for (2998ds/22061Mi)
% 12.90/2.09 % (824494)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.90/2.09 % Exception at run slice level
% 12.90/2.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.09 % (824481)Instruction limit reached!
% 12.90/2.09 % (824481)------------------------------
% 12.90/2.09 % (824481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.09 % (824481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824481)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824481)Termination reason: Instruction limit
% 12.90/2.10 % (824481)Termination phase: Saturation
% 12.90/2.10 % (824481)Time elapsed: 0.082 s
% 12.90/2.10 % (824481)Peak memory usage: 12 MB
% 12.90/2.10 % (824481)Instructions burned: 181 (million)
% 12.90/2.10 % (824498)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2662592631:i=9515:nm=5_2998 on theBenchmark for (2998ds/9515Mi)
% 12.90/2.10 % (824499)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=917136370:fmbsr=1.7:i=920_2998 on theBenchmark for (2998ds/920Mi)
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % (824502)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1537978641:i=5131_2998 on theBenchmark for (2998ds/5131Mi)
% 12.90/2.10 % (824502)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.90/2.10 % (824503)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1762619215:i=1472:ins=7:fdi=8:gsp=on_2998 on theBenchmark for (2998ds/1472Mi)
% 12.90/2.10 % (824503)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 12.90/2.10 % (824503)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.90/2.10 % (824479)Instruction limit reached!
% 12.90/2.10 % (824479)------------------------------
% 12.90/2.10 % (824479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824479)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824479)Termination reason: Instruction limit
% 12.90/2.10 % (824479)Termination phase: Saturation
% 12.90/2.10 % (824479)Time elapsed: 0.163 s
% 12.90/2.10 % (824479)Peak memory usage: 14 MB
% 12.90/2.10 % (824479)Instructions burned: 687 (million)
% 12.90/2.10 % (824506)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2364174954:i=6324_2997 on theBenchmark for (2997ds/6324Mi)
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % (824508)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2087303275:fmbsr=2.30978:i=2174_2997 on theBenchmark for (2997ds/2174Mi)
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % (824510)ott-2_1_sil=16000:newcnf=on:random_seed=3524603708:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2997 on theBenchmark for (2997ds/869Mi)
% 12.90/2.10 % (824510)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 12.90/2.10 % (824510)Instruction limit reached!
% 12.90/2.10 % (824510)------------------------------
% 12.90/2.10 % (824510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824510)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824510)Termination reason: Instruction limit
% 12.90/2.10 % (824510)Termination phase: Saturation
% 12.90/2.10 % (824510)Time elapsed: 0.205 s
% 12.90/2.10 % (824510)Peak memory usage: 18 MB
% 12.90/2.10 % (824510)Instructions burned: 872 (million)
% 12.90/2.10 % (824492)Instruction limit reached!
% 12.90/2.10 % (824492)------------------------------
% 12.90/2.10 % (824492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824492)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824492)Termination reason: Instruction limit
% 12.90/2.10 % (824492)Termination phase: Saturation
% 12.90/2.10 % (824492)Time elapsed: 0.312 s
% 12.90/2.10 % (824492)Peak memory usage: 13 MB
% 12.90/2.10 % (824492)Instructions burned: 692 (million)
% 12.90/2.10 % (824512)ott+10_1_sil=32000:tgt=ground:random_seed=2010405538:i=5114:av=off_2995 on theBenchmark for (2995ds/5114Mi)
% 12.90/2.10 % (824513)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3546986036:i=54282_2995 on theBenchmark for (2995ds/54282Mi)
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % (824516)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2627959026:i=3512:aac=none_2995 on theBenchmark for (2995ds/3512Mi)
% 12.90/2.10 % (824516)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.90/2.10 % (824493)Instruction limit reached!
% 12.90/2.10 % (824493)------------------------------
% 12.90/2.10 % (824493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824493)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824493)Termination reason: Instruction limit
% 12.90/2.10 % (824493)Termination phase: Saturation
% 12.90/2.10 % (824493)Time elapsed: 0.423 s
% 12.90/2.10 % (824493)Peak memory usage: 15 MB
% 12.90/2.10 % (824493)Instructions burned: 880 (million)
% 12.90/2.10 % (824518)dis+21_1_sil=32000:sas=cadical:random_seed=3435554363:i=3773:amm=off_2994 on theBenchmark for (2994ds/3773Mi)
% 12.90/2.10 % (824488)Instruction limit reached!
% 12.90/2.10 % (824488)------------------------------
% 12.90/2.10 % (824488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824488)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824488)Termination reason: Instruction limit
% 12.90/2.10 % (824488)Termination phase: Saturation
% 12.90/2.10 % (824488)Time elapsed: 0.530 s
% 12.90/2.10 % (824488)Peak memory usage: 16 MB
% 12.90/2.10 % (824488)Instructions burned: 1180 (million)
% 12.90/2.10 % (824520)ott+11_1_sil=16000:gs=on:random_seed=1902692410:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2993 on theBenchmark for (2993ds/2251Mi)
% 12.90/2.10 % (824520)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 12.90/2.10 % (824503)Instruction limit reached!
% 12.90/2.10 % (824503)------------------------------
% 12.90/2.10 % (824503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824503)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824503)Termination reason: Instruction limit
% 12.90/2.10 % (824503)Termination phase: Saturation
% 12.90/2.10 % (824503)Time elapsed: 0.721 s
% 12.90/2.10 % (824503)Peak memory usage: 18 MB
% 12.90/2.10 % (824503)Instructions burned: 1472 (million)
% 12.90/2.10 % (824522)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2997953923:fmbsr=1.6:i=67534_2990 on theBenchmark for (2990ds/67534Mi)
% 12.90/2.10 % Exception at run slice level
% 12.90/2.10 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 12.90/2.10 % (824524)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2869574509:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2990 on theBenchmark for (2990ds/4591Mi)
% 12.90/2.10 % (824520)Instruction limit reached!
% 12.90/2.10 % (824520)------------------------------
% 12.90/2.10 % (824520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824520)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824520)Termination reason: Instruction limit
% 12.90/2.10 % (824520)Termination phase: Saturation
% 12.90/2.10 % (824520)Time elapsed: 0.967 s
% 12.90/2.10 % (824520)Peak memory usage: 18 MB
% 12.90/2.10 % (824520)Instructions burned: 2253 (million)
% 12.90/2.10 % (824512)Instruction limit reached!
% 12.90/2.10 % (824512)------------------------------
% 12.90/2.10 % (824512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824512)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824512)Termination reason: Instruction limit
% 12.90/2.10 % (824512)Termination phase: Saturation
% 12.90/2.10 % (824512)Time elapsed: 1.184 s
% 12.90/2.10 % (824512)Peak memory usage: 32 MB
% 12.90/2.10 % (824512)Instructions burned: 5118 (million)
% 12.90/2.10 % (824527)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3244108027:i=29340_2983 on theBenchmark for (2983ds/29340Mi)
% 12.90/2.10 % (824528)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1904358097:i=5211_2983 on theBenchmark for (2983ds/5211Mi)
% 12.90/2.10 % (824527) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-824457-824527"...
% 12.90/2.10 % (824527)...printing done.
% 12.90/2.10 % (824527)Refutation found. Thanks to Tanya!
% 12.90/2.10 % SZS status Theorem for theBenchmark
% 12.90/2.10 % SZS output start Proof for theBenchmark
% 12.90/2.10 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 12.90/2.10 thf(func_def_5, type, db0: !>[X0: $tType]:(X0)).
% 12.90/2.10 thf(func_def_6, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 12.90/2.10 thf(func_def_7, type, sK0: ((($i > $i) > $o) > ($i > $i) > $i > $i)).
% 12.90/2.10 thf(func_def_8, type, sK1: (($i > $i) > ($i > $i) > ($i > $i) > $o)).
% 12.90/2.10 thf(func_def_9, type, vNOT: ($o > $o)).
% 12.90/2.10 thf(func_def_10, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 12.90/2.10 thf(func_def_11, type, sK2: (($i > $i) > ($i > $i) > $i)).
% 12.90/2.10 thf(func_def_12, type, db1: !>[X0: $tType]:(X0)).
% 12.90/2.10 thf(func_def_13, type, sK3: (($i > $i) > ($i > $i) > $i)).
% 12.90/2.10 thf(f1,conjecture,(
% 12.90/2.10 (a != b) => ~ ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((! [X3 : ($i > $i)] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : ((X0 @ (X3 @ X4)))))) & (X2 @ X0)) => (X2 @ (^[X4 : $i] : ((X1 @ (X0 @ X4)))))) => ! [X2 : (($i > $i) > $o)] : ((! [X5 : ($i > $i)] : ((X2 @ X5) => (X2 @ (^[X4 : $i] : ((X0 @ (X5 @ X4)))))) & (X2 @ X0)) => (X2 @ X1)))),
% 12.90/2.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM196B_pme)).
% 12.90/2.10 thf(f2,negated_conjecture,(
% 12.90/2.10 ~((a != b) => ~ ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((! [X3 : ($i > $i)] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : ((X0 @ (X3 @ X4)))))) & (X2 @ X0)) => (X2 @ (^[X4 : $i] : ((X1 @ (X0 @ X4)))))) => ! [X2 : (($i > $i) > $o)] : ((! [X5 : ($i > $i)] : ((X2 @ X5) => (X2 @ (^[X4 : $i] : ((X0 @ (X5 @ X4)))))) & (X2 @ X0)) => (X2 @ X1))))),
% 12.90/2.10 inference(negated_conjecture,[status(cth)],[f1])).
% 12.90/2.10 thf(f3,plain,(
% 12.90/2.10 ~((a != b) => ~ ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((! [X3 : ($i > $i)] : ((X2 @ X3) => (X2 @ (^[X4 : $i] : ((X0 @ (X3 @ X4)))))) & (X2 @ X0)) => (X2 @ (^[X5 : $i] : ((X1 @ (X0 @ X5)))))) => ! [X6 : (($i > $i) > $o)] : ((! [X7 : ($i > $i)] : ((X6 @ X7) => (X6 @ (^[X8 : $i] : ((X0 @ (X7 @ X8)))))) & (X6 @ X0)) => (X6 @ X1))))),
% 12.90/2.10 inference(rectify,[],[f2])).
% 12.90/2.10 thf(f4,plain,(
% 12.90/2.10 ~((a != b) => ~ ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((! [X3 : ($i > $i)] : ((((X2 @ X3)) = $true) => ($true = ((X2 @ (^[Y0 : $i]: (X0 @ (X3 @ Y0))))))) & (((X2 @ X0)) = $true)) => ($true = ((X2 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0))))))) => ! [X6 : (($i > $i) > $o)] : ((! [X7 : ($i > $i)] : ((((X6 @ X7)) = $true) => ($true = ((X6 @ (^[Y0 : $i]: (X0 @ (X7 @ Y0))))))) & (((X6 @ X0)) = $true)) => (((X6 @ X1)) = $true))))),
% 12.90/2.10 inference(fool_elimination,[],[f3])).
% 12.90/2.10 thf(f5,plain,(
% 12.90/2.10 ~((a != b) => ~ ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((! [X3 : ($i > $i)] : ((((X2 @ X3)) = $true) => ($true = ((X2 @ (^[Y0 : $i]: (X0 @ (X3 @ Y0))))))) & (((X2 @ X0)) = $true)) => ($true = ((X2 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0))))))) => ! [X4 : (($i > $i) > $o)] : ((! [X5 : ($i > $i)] : (($true = ((X4 @ X5))) => ($true = ((X4 @ (^[Y0 : $i]: (X0 @ (X5 @ Y0))))))) & ($true = ((X4 @ X0)))) => ($true = ((X4 @ X1))))))),
% 12.90/2.10 inference(rectify,[],[f4])).
% 12.90/2.10 thf(f6,plain,(
% 12.90/2.10 ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X4 : (($i > $i) > $o)] : (($true = ((X4 @ X1))) | (? [X5 : ($i > $i)] : (($true != ((X4 @ (^[Y0 : $i]: (X0 @ (X5 @ Y0)))))) & ($true = ((X4 @ X5)))) | ($true != ((X4 @ X0))))) | ? [X2 : (($i > $i) > $o)] : (($true != ((X2 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) & (! [X3 : ($i > $i)] : (($true = ((X2 @ (^[Y0 : $i]: (X0 @ (X3 @ Y0)))))) | (((X2 @ X3)) != $true)) & (((X2 @ X0)) = $true)))) & (a != b)),
% 12.90/2.10 inference(ennf_transformation,[],[f5])).
% 12.90/2.10 thf(f7,plain,(
% 12.90/2.10 ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X4 : (($i > $i) > $o)] : (($true = ((X4 @ X1))) | ? [X5 : ($i > $i)] : (($true != ((X4 @ (^[Y0 : $i]: (X0 @ (X5 @ Y0)))))) & ($true = ((X4 @ X5)))) | ($true != ((X4 @ X0)))) | ? [X2 : (($i > $i) > $o)] : (($true != ((X2 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) & ! [X3 : ($i > $i)] : (($true = ((X2 @ (^[Y0 : $i]: (X0 @ (X3 @ Y0)))))) | (((X2 @ X3)) != $true)) & (((X2 @ X0)) = $true))) & (a != b)),
% 12.90/2.10 inference(flattening,[],[f6])).
% 12.90/2.10 thf(f8,plain,(
% 12.90/2.10 ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((((X2 @ X1)) = $true) | ? [X3 : ($i > $i)] : (($true != ((X2 @ (^[Y0 : $i]: (X0 @ (X3 @ Y0)))))) & (((X2 @ X3)) = $true)) | (((X2 @ X0)) != $true)) | ? [X4 : (($i > $i) > $o)] : (($true != ((X4 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) & ! [X5 : ($i > $i)] : (($true = ((X4 @ (^[Y0 : $i]: (X0 @ (X5 @ Y0)))))) | ($true != ((X4 @ X5)))) & ($true = ((X4 @ X0))))) & (a != b)),
% 12.90/2.10 inference(rectify,[],[f7])).
% 12.90/2.10 thf(f9,plain,(
% 12.90/2.10 ! [X0 : ($i > $i),X1 : ($i > $i)] : (! [X2 : (($i > $i) > $o)] : ((((X2 @ X1)) = $true) | (($true != ((X2 @ (^[Y0 : $i]: (X0 @ (sK0 @ X2 @ X0 @ Y0)))))) & ($true = ((X2 @ (sK0 @ X2 @ X0))))) | (((X2 @ X0)) != $true)) | (($true != ((sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) & ! [X5 : ($i > $i)] : (($true = ((sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X0 @ (X5 @ Y0)))))) | ($true != ((sK1 @ X1 @ X0 @ X5)))) & ($true = ((sK1 @ X1 @ X0 @ X0))))) & (a != b)),
% 12.90/2.10 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X4,sK1 @ X1 @ X0),skolemize(X4,sK1 @ X1 @ X0)],[f8])).
% 12.90/2.10 thf(f10,plain,(
% 12.90/2.10 (a != b)),
% 12.90/2.10 inference(cnf_transformation,[],[f9])).
% 12.90/2.10 thf(f14,plain,(
% 12.90/2.10 ( ! [X2 : (($i > $i) > $o),X0 : ($i > $i),X1 : ($i > $i)] : (($true != ((X2 @ (^[Y0 : $i]: (X0 @ (sK0 @ X2 @ X0 @ Y0)))))) | (((X2 @ X1)) = $true) | (((X2 @ X0)) != $true) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(cnf_transformation,[],[f9])).
% 12.90/2.10 thf(f16,plain,(
% 12.90/2.10 ( ! [X2 : (($i > $i) > $o),X0 : ($i > $i),X1 : ($i > $i)] : (($true != ((sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0)))))) | ($true != ((X2 @ (^[Y0 : $i]: (X0 @ (sK0 @ X2 @ X0 @ Y0)))))) | (((X2 @ X0)) != $true) | (((X2 @ X1)) = $true)) )),
% 12.90/2.10 inference(cnf_transformation,[],[f9])).
% 12.90/2.10 thf(f18,definition,(
% 12.90/2.10 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 12.90/2.10 introduced(theory,[fool_exhaustiveness_axiom])).
% 12.90/2.10 thf(f287,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: (X0 @ (sK0 @ (^[Y1 : $i > $i]: (~ (Y1 = X1))) @ X0 @ Y0))) = X1) | ($true != (((^[Y0 : $i > $i]: (~ (Y0 = X1))) @ X0))) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(leibniz_equality_elimination,[],[f14])).
% 12.90/2.10 thf(f336,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: (X0 @ (sK0 @ (^[Y1 : $i > $i]: (~ (Y1 = X1))) @ X0 @ Y0))) = X1) | ($true != ((~ (X0 = X1)))) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(beta-eta_normalization,[],[f287])).
% 12.90/2.10 thf(f337,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: (X0 @ (sK0 @ (^[Y1 : $i > $i]: (~ (Y1 = X1))) @ X0 @ Y0))) = X1) | ($true = ((X0 = X1))) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(not_proxy_clausification,[],[f336])).
% 12.90/2.10 thf(f338,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : (((^[Y0 : $i]: (X0 @ (sK0 @ (^[Y1 : $i > $i]: (~ (Y1 = X1))) @ X0 @ Y0))) = X1) | (X0 = X1) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(equality_proxy_clausification,[],[f337])).
% 12.90/2.10 thf(f1985,plain,(
% 12.90/2.10 ( ! [X2 : (($i > $i) > $o),X0 : ($i > $i),X1 : ($i > $i)] : (($true != $true) | ($true != ((X2 @ (^[Y0 : $i]: (X1 @ (sK0 @ X2 @ X1 @ Y0)))))) | (((X2 @ X1)) != $true) | (((X2 @ X0)) = $true) | ($false = ((sK1 @ X0 @ X1 @ (^[Y0 : $i]: (X0 @ (X1 @ Y0))))))) )),
% 12.90/2.10 inference(constrained_superposition,[],[f16,f18])).
% 12.90/2.10 thf(f2010,plain,(
% 12.90/2.10 ( ! [X2 : (($i > $i) > $o),X0 : ($i > $i),X1 : ($i > $i)] : (($true != ((X2 @ (^[Y0 : $i]: (X1 @ (sK0 @ X2 @ X1 @ Y0)))))) | (((X2 @ X1)) != $true) | (((X2 @ X0)) = $true) | ($false = ((sK1 @ X0 @ X1 @ (^[Y0 : $i]: (X0 @ (X1 @ Y0))))))) )),
% 12.90/2.10 inference(trivial_inequality_removal,[],[f1985])).
% 12.90/2.10 thf(f2028,plain,(
% 12.90/2.10 ( ! [X2 : ($i > $i),X0 : (($i > $i) > $o),X1 : ($i > $i)] : (($true != $true) | ($true != ((X0 @ X1))) | ($true = ((X0 @ X2))) | ($false = ((sK1 @ X2 @ X1 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0)))))) | ($false = ((X0 @ (^[Y0 : $i]: (X1 @ (sK0 @ X0 @ X1 @ Y0))))))) )),
% 12.90/2.10 inference(constrained_superposition,[],[f2010,f18])).
% 12.90/2.10 thf(f2095,plain,(
% 12.90/2.10 ( ! [X2 : ($i > $i),X0 : (($i > $i) > $o),X1 : ($i > $i)] : (($true != ((X0 @ X1))) | ($true = ((X0 @ X2))) | ($false = ((sK1 @ X2 @ X1 @ (^[Y0 : $i]: (X2 @ (X1 @ Y0)))))) | ($false = ((X0 @ (^[Y0 : $i]: (X1 @ (sK0 @ X0 @ X1 @ Y0))))))) )),
% 12.90/2.10 inference(trivial_inequality_removal,[],[f2028])).
% 12.90/2.10 thf(f2130,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : ((X0 = X1) | (((sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0))))) = $false) | ($false = ((X0 = (^[Y0 : $i]: (X0 @ (sK0 @ (= @ X0) @ X0 @ Y0))))))) )),
% 12.90/2.10 inference(leibniz_equality_elimination,[],[f2095])).
% 12.90/2.10 thf(f2214,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : ($i > $i)] : ((((sK1 @ X1 @ X0 @ (^[Y0 : $i]: (X1 @ (X0 @ Y0))))) = $false) | (X0 = X1) | ((^[Y0 : $i]: (X0 @ (sK0 @ (= @ X0) @ X0 @ Y0))) != X0)) )),
% 12.90/2.10 inference(equality_proxy_clausification,[],[f2130])).
% 12.90/2.10 thf(f3007,plain,(
% 12.90/2.10 ( ! [X2 : $i,X0 : ($i > $i),X1 : ($i > $i)] : ((((X1 @ X2)) = (((^[Y0 : $i]: (X0 @ (sK0 @ (^[Y1 : $i > $i]: (~ (Y1 = X1))) @ X0 @ Y0))) @ X2))) | (X0 = X1) | ($true = ((sK1 @ X1 @ X0 @ X0)))) )),
% 12.90/2.10 inference(argument_congruence,[],[f338])).
% 12.90/2.10 thf(f3047,plain,(
% 12.90/2.10 ( ! [X2 : $i,X0 : ($i > $i),X1 : ($i > $i)] : ((((X1 @ X2)) = ((X0 @ (sK0 @ (^[Y0 : $i > $i]: (~ (Y0 = X1))) @ X0 @ X2)))) | ($true = ((sK1 @ X1 @ X0 @ X0))) | (X0 = X1)) )),
% 12.90/2.10 inference(beta-eta_normalization,[],[f3007])).
% 12.90/2.10 thf(f3058,plain,(
% 12.90/2.10 ( ! [X0 : ($i > $i),X1 : $i] : ((b != ((X0 @ X1))) | ($true = ((sK1 @ X0 @ (^[Y0 : $i]: (a)) @ (^[Y0 : $i]: (a))))) | ((^[Y0 : $i]: (a)) = X0)) )),
% 12.90/2.10 inference(constrained_superposition,[],[f10,f3047])).
% 12.90/2.10 thf(f3140,plain,(
% 12.90/2.10 ($true = ((sK1 @ (^[Y0 : $i]: (Y0)) @ (^[Y0 : $i]: (a)) @ (^[Y0 : $i]: (a))))) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a)))),
% 12.90/2.10 inference(equality_resolution,[],[f3058])).
% 12.90/2.10 thf(f3276,definition,(
% 12.90/2.10 spl4_3 <=> ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a)))),
% 12.90/2.10 introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition])).
% 12.90/2.10 thf(f3277,plain,(
% 12.90/2.10 ((^[Y0 : $i]: (Y0)) != (^[Y0 : $i]: (a))) | spl4_3),
% 12.90/2.10 inference(avatar_component_clause,[],[f3276])).
% 12.90/2.10 thf(f3278,plain,(
% 12.90/2.10 ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a))) | ~spl4_3),
% 12.90/2.10 inference(avatar_component_clause,[],[f3276])).
% 12.90/2.10 thf(f3280,definition,(
% 12.90/2.10 spl4_4 <=> ($true = ((sK1 @ (^[Y0 : $i]: (Y0)) @ (^[Y0 : $i]: (a)) @ (^[Y0 : $i]: (a)))))),
% 12.90/2.10 introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition])).
% 12.90/2.10 thf(f3282,plain,(
% 12.90/2.10 ($true = ((sK1 @ (^[Y0 : $i]: (Y0)) @ (^[Y0 : $i]: (a)) @ (^[Y0 : $i]: (a))))) | ~spl4_4),
% 12.90/2.10 inference(avatar_component_clause,[],[f3280])).
% 12.90/2.10 thf(f3283,plain,(
% 12.90/2.10 spl4_3 | spl4_4),
% 12.90/2.10 inference(avatar_split_clause,[],[f3140,f3280,f3276])).
% 12.90/2.10 thf(f3284,plain,(
% 12.90/2.10 ( ! [X1 : $i] : (((((^[Y0 : $i]: (Y0)) @ X1)) = (((^[Y0 : $i]: (a)) @ X1)))) ) | ~spl4_3),
% 12.90/2.10 inference(argument_congruence,[],[f3278])).
% 12.90/2.10 thf(f3312,plain,(
% 12.90/2.10 ( ! [X1 : $i] : ((a = X1)) ) | ~spl4_3),
% 12.90/2.10 inference(beta-eta_normalization,[],[f3284])).
% 12.90/2.10 thf(f3356,plain,(
% 12.90/2.10 $false | ~spl4_3),
% 12.90/2.10 inference(unit_resulting_resolution,[],[f3312,f10])).
% 12.90/2.10 thf(f3368,plain,(
% 12.90/2.10 ~spl4_3),
% 12.90/2.10 inference(avatar_contradiction_clause,[],[f3356])).
% 12.90/2.10 thf(f3379,plain,(
% 12.90/2.10 ($true = $false) | ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a))) | ((^[Y0 : $i]: (a)) != (^[Y0 : $i]: ((^[Y1 : $i]: (a)) @ (sK0 @ (= @ (^[Y1 : $i]: (a))) @ (^[Y1 : $i]: (a)) @ Y0)))) | ~spl4_4),
% 12.90/2.10 inference(constrained_superposition,[],[f3282,f2214])).
% 12.90/2.10 thf(f3511,plain,(
% 12.90/2.10 ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a))) | ((^[Y0 : $i]: (a)) != (^[Y0 : $i]: ((^[Y1 : $i]: (a)) @ (sK0 @ (= @ (^[Y1 : $i]: (a))) @ (^[Y1 : $i]: (a)) @ Y0)))) | ~spl4_4),
% 12.90/2.10 inference(trivial_inequality_removal,[],[f3379])).
% 12.90/2.10 thf(f3512,plain,(
% 12.90/2.10 ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a))) | ((^[Y0 : $i]: (a)) != (^[Y0 : $i]: (a))) | ~spl4_4),
% 12.90/2.10 inference(beta-eta_normalization,[],[f3511])).
% 12.90/2.10 thf(f3513,plain,(
% 12.90/2.10 ((^[Y0 : $i]: (Y0)) = (^[Y0 : $i]: (a))) | ~spl4_4),
% 12.90/2.10 inference(trivial_inequality_removal,[],[f3512])).
% 12.90/2.10 thf(f3517,plain,(
% 12.90/2.10 $false | (spl4_3 | ~spl4_4)),
% 12.90/2.10 inference(forward_subsumption_resolution,[],[f3513,f3277])).
% 12.90/2.10 thf(f3518,plain,(
% 12.90/2.10 spl4_3 | ~spl4_4),
% 12.90/2.10 inference(avatar_contradiction_clause,[],[f3517])).
% 12.90/2.10 cnf(s2, plain, spl4_3 | spl4_4, inference(sat_conversion,[],[f3283])).
% 12.90/2.10 cnf(s3, plain, ~spl4_3, inference(sat_conversion,[],[f3368])).
% 12.90/2.10 cnf(s5, plain, spl4_3 | ~spl4_4, inference(sat_conversion,[],[f3518])).
% 12.90/2.10 cnf(s6, plain, ~spl4_4, inference(rat,[],[s5,s3])).
% 12.90/2.10 cnf(s7, plain, $false, inference(rat,[],[s2,s6,s3])).
% 12.90/2.10 thf(f3519,plain,(
% 12.90/2.10 $false),
% 12.90/2.10 inference(avatar_sat_refutation,[],[s7])).
% 12.90/2.10 % SZS output end Proof for theBenchmark
% 12.90/2.10 % (824527)------------------------------
% 12.90/2.10 % (824527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.90/2.10 % (824527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.90/2.10 % (824527)CaDiCaL version: 2.1.3
% 12.90/2.10 % (824527)Termination reason: Refutation
% 12.90/2.10 % (824527)Time elapsed: 0.218 s
% 12.90/2.10 % (824527)Peak memory usage: 13 MB
% 12.90/2.10 % (824527)Instructions burned: 481 (million)
% 12.90/2.10 % (824457)Success in time 1.886 s
% 12.90/2.10 % Vampire exiting
%------------------------------------------------------------------------------