%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEV505^1 : 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 : n019.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 08:39:36 AM UTC 2026
% Result : Theorem 16.80s 2.69s
% Output : Refutation 16.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV505^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n019.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 15:54:48 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 5.72/1.05 % (959844)Will run a generic schedule for satisfiability detection.
% 5.72/1.05 % (959850)% WARNING: option uhcvi not known.
% 5.72/1.05 % (959849)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3858345432_2999 on theBenchmark for (2999ds/0Mi)
% 5.72/1.05 % (959852)dis+10_1_sil=32000:sp=arity:random_seed=184139735:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.72/1.05 % (959851)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=862130250:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.72/1.05 % (959850)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=975929061:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.72/1.05 % (959850)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.05 % Exception at run slice level
% 5.72/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.72/1.05 % (959850)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.72/1.05 % (959853)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=899747464:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.72/1.05 % (959855)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=418413422:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.72/1.05 % (959853)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.05 % (959854)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=639992727:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.72/1.05 % (959860)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2434277270:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.72/1.05 % Exception at run slice level
% 5.72/1.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.72/1.05 % (959853)Instruction limit reached!
% 5.72/1.05 % (959853)------------------------------
% 5.72/1.05 % (959853)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.05 % (959853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.05 % (959853)CaDiCaL version: 2.1.3
% 5.72/1.05 % (959853)Termination reason: Instruction limit
% 5.72/1.05 % (959853)Termination phase: Saturation
% 5.72/1.05 % (959853)Time elapsed: 0.033 s
% 5.72/1.05 % (959853)Peak memory usage: 13 MB
% 5.72/1.05 % (959853)Instructions burned: 116 (million)
% 5.72/1.05 % (959865)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2099143229:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.72/1.05 % (959866)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=3738227727:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.72/1.05 % (959866)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.72/1.05 % (959866)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.72/1.05 % (959852)Instruction limit reached!
% 5.72/1.05 % (959852)------------------------------
% 5.72/1.05 % (959852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.05 % (959852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.05 % (959852)CaDiCaL version: 2.1.3
% 5.72/1.05 % (959852)Termination reason: Instruction limit
% 5.72/1.05 % (959852)Termination phase: Saturation
% 5.72/1.05 % (959852)Time elapsed: 0.052 s
% 5.72/1.05 % (959852)Peak memory usage: 12 MB
% 5.72/1.05 % (959852)Instructions burned: 104 (million)
% 5.72/1.05 % (959869)ott-21_1_sil=16000:fs=off:random_seed=1706309539:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 5.72/1.05 % (959855)Instruction limit reached!
% 5.72/1.05 % (959855)------------------------------
% 5.72/1.05 % (959855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.72/1.05 % (959855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.05 % (959855)CaDiCaL version: 2.1.3
% 5.72/1.05 % (959855)Termination reason: Instruction limit
% 5.72/1.05 % (959855)Termination phase: Saturation
% 5.72/1.05 % (959855)Time elapsed: 0.089 s
% 5.72/1.05 % (959855)Peak memory usage: 13 MB
% 5.72/1.05 % (959855)Instructions burned: 160 (million)
% 5.72/1.05 % (959865)Instruction limit reached!
% 5.72/1.05 % (959865)------------------------------
% 16.80/2.69 % (959865)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959865)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959865)Termination reason: Instruction limit
% 16.80/2.69 % (959865)Termination phase: Saturation
% 16.80/2.69 % (959865)Time elapsed: 0.072 s
% 16.80/2.69 % (959865)Peak memory usage: 13 MB
% 16.80/2.69 % (959865)Instructions burned: 132 (million)
% 16.80/2.69 % (959854)Instruction limit reached!
% 16.80/2.69 % (959854)------------------------------
% 16.80/2.69 % (959854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959854)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959854)Termination reason: Instruction limit
% 16.80/2.69 % (959854)Termination phase: Saturation
% 16.80/2.69 % (959854)Time elapsed: 0.114 s
% 16.80/2.69 % (959854)Peak memory usage: 13 MB
% 16.80/2.69 % (959854)Instructions burned: 132 (million)
% 16.80/2.69 % (959871)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3509920655:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 16.80/2.69 % (959872)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1571185896:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959873)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=642523286:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.80/2.69 % (959869)Instruction limit reached!
% 16.80/2.69 % (959869)------------------------------
% 16.80/2.69 % (959869)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959869)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959869)Termination reason: Instruction limit
% 16.80/2.69 % (959869)Termination phase: Saturation
% 16.80/2.69 % (959869)Time elapsed: 0.083 s
% 16.80/2.69 % (959869)Peak memory usage: 12 MB
% 16.80/2.69 % (959869)Instructions burned: 181 (million)
% 16.80/2.69 % (959876)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2206475390:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959878)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=2321174520: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)
% 16.80/2.69 % (959878)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.80/2.69 % (959880)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4163389036:i=879:kws=inv_precedence:fsr=off_2998 on theBenchmark for (2998ds/879Mi)
% 16.80/2.69 % (959880)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.80/2.69 % (959866)Instruction limit reached!
% 16.80/2.69 % (959866)------------------------------
% 16.80/2.69 % (959866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959866)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959866)Termination reason: Instruction limit
% 16.80/2.69 % (959866)Termination phase: Saturation
% 16.80/2.69 % (959866)Time elapsed: 0.165 s
% 16.80/2.69 % (959866)Peak memory usage: 15 MB
% 16.80/2.69 % (959866)Instructions burned: 687 (million)
% 16.80/2.69 % (959883)fmb+10_1_sil=64000:random_seed=532548381:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 16.80/2.69 % (959883)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959885)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3778949908:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959887)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=382748997:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959889)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2870922679:i=5131_2997 on theBenchmark for (2997ds/5131Mi)
% 16.80/2.69 % (959889)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.80/2.69 % (959871)Instruction limit reached!
% 16.80/2.69 % (959871)------------------------------
% 16.80/2.69 % (959871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959871)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959871)Termination reason: Instruction limit
% 16.80/2.69 % (959871)Termination phase: Saturation
% 16.80/2.69 % (959871)Time elapsed: 0.294 s
% 16.80/2.69 % (959871)Peak memory usage: 15 MB
% 16.80/2.69 % (959871)Instructions burned: 478 (million)
% 16.80/2.69 % (959891)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1629031693:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 16.80/2.69 % (959891)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.80/2.69 % (959891)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.80/2.69 % (959878)Instruction limit reached!
% 16.80/2.69 % (959878)------------------------------
% 16.80/2.69 % (959878)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959878)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959878)Termination reason: Instruction limit
% 16.80/2.69 % (959878)Termination phase: Saturation
% 16.80/2.69 % (959878)Time elapsed: 0.339 s
% 16.80/2.69 % (959878)Peak memory usage: 19 MB
% 16.80/2.69 % (959878)Instructions burned: 692 (million)
% 16.80/2.69 % (959893)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4213299586:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959895)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1370882629:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959897)ott-2_1_sil=16000:newcnf=on:random_seed=962758091:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2994 on theBenchmark for (2994ds/869Mi)
% 16.80/2.69 % (959897)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.80/2.69 % (959880)Instruction limit reached!
% 16.80/2.69 % (959880)------------------------------
% 16.80/2.69 % (959880)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959880)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959880)Termination reason: Instruction limit
% 16.80/2.69 % (959880)Termination phase: Saturation
% 16.80/2.69 % (959880)Time elapsed: 0.491 s
% 16.80/2.69 % (959880)Peak memory usage: 17 MB
% 16.80/2.69 % (959880)Instructions burned: 881 (million)
% 16.80/2.69 % (959899)ott+10_1_sil=32000:tgt=ground:random_seed=2943741009:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 16.80/2.69 % (959873)Instruction limit reached!
% 16.80/2.69 % (959873)------------------------------
% 16.80/2.69 % (959873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959873)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959873)Termination reason: Instruction limit
% 16.80/2.69 % (959873)Termination phase: Saturation
% 16.80/2.69 % (959873)Time elapsed: 0.598 s
% 16.80/2.69 % (959873)Peak memory usage: 22 MB
% 16.80/2.69 % (959873)Instructions burned: 1180 (million)
% 16.80/2.69 % (959901)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3120130005:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959903)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=4031201254:i=3512:aac=none_2991 on theBenchmark for (2991ds/3512Mi)
% 16.80/2.69 % (959903)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.80/2.69 % (959897)Instruction limit reached!
% 16.80/2.69 % (959897)------------------------------
% 16.80/2.69 % (959897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959897)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959897)Termination reason: Instruction limit
% 16.80/2.69 % (959897)Termination phase: Saturation
% 16.80/2.69 % (959897)Time elapsed: 0.396 s
% 16.80/2.69 % (959897)Peak memory usage: 16 MB
% 16.80/2.69 % (959897)Instructions burned: 870 (million)
% 16.80/2.69 % (959905)dis+21_1_sil=32000:sas=cadical:random_seed=2713685010:i=3773:amm=off_2989 on theBenchmark for (2989ds/3773Mi)
% 16.80/2.69 % (959891)Instruction limit reached!
% 16.80/2.69 % (959891)------------------------------
% 16.80/2.69 % (959891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959891)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959891)Termination reason: Instruction limit
% 16.80/2.69 % (959891)Termination phase: Saturation
% 16.80/2.69 % (959891)Time elapsed: 0.831 s
% 16.80/2.69 % (959891)Peak memory usage: 23 MB
% 16.80/2.69 % (959891)Instructions burned: 1473 (million)
% 16.80/2.69 % (959907)ott+11_1_sil=16000:gs=on:random_seed=2689010401:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2986 on theBenchmark for (2986ds/2251Mi)
% 16.80/2.69 % (959907)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.80/2.69 % (959889)Instruction limit reached!
% 16.80/2.69 % (959889)------------------------------
% 16.80/2.69 % (959889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959889)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959889)Termination reason: Instruction limit
% 16.80/2.69 % (959889)Termination phase: Saturation
% 16.80/2.69 % (959889)Time elapsed: 1.177 s
% 16.80/2.69 % (959889)Peak memory usage: 23 MB
% 16.80/2.69 % (959889)Instructions burned: 5132 (million)
% 16.80/2.69 % (959909)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=3070895193:fmbsr=1.6:i=67534_2985 on theBenchmark for (2985ds/67534Mi)
% 16.80/2.69 % Exception at run slice level
% 16.80/2.69 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.80/2.69 % (959911)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1705049042:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2985 on theBenchmark for (2985ds/4591Mi)
% 16.80/2.69 % (959907)Instruction limit reached!
% 16.80/2.69 % (959907)------------------------------
% 16.80/2.69 % (959907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959907)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959907)Termination reason: Instruction limit
% 16.80/2.69 % (959907)Termination phase: Saturation
% 16.80/2.69 % (959907)Time elapsed: 1.015 s
% 16.80/2.69 % (959907)Peak memory usage: 31 MB
% 16.80/2.69 % (959907)Instructions burned: 2251 (million)
% 16.80/2.69 % (959913)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=571883549:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 16.80/2.69 % (959903)Instruction limit reached!
% 16.80/2.69 % (959903)------------------------------
% 16.80/2.69 % (959903)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959903)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959903)Termination reason: Instruction limit
% 16.80/2.69 % (959903)Termination phase: Saturation
% 16.80/2.69 % (959903)Time elapsed: 1.566 s
% 16.80/2.69 % (959903)Peak memory usage: 20 MB
% 16.80/2.69 % (959903)Instructions burned: 3513 (million)
% 16.80/2.69 % (959915)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3390420427:i=5211_2976 on theBenchmark for (2976ds/5211Mi)
% 16.80/2.69 % (959913) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-959844-959913"...
% 16.80/2.69 % (959913)...printing done.
% 16.80/2.69 % (959913)Refutation found. Thanks to Tanya!
% 16.80/2.69 % SZS status Theorem for theBenchmark
% 16.80/2.69 % SZS output start Proof for theBenchmark
% 16.80/2.69 thf(type_def_5, type, 'type/nums/num': $tType).
% 16.80/2.69 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 16.80/2.69 thf(type_def_7, type, sK1: $tType).
% 16.80/2.69 thf(func_def_0, type, 'const/sets/UNION': !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0 > $o))).
% 16.80/2.69 thf(func_def_1, type, 'const/sets/INTER': !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0 > $o))).
% 16.80/2.69 thf(func_def_2, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 16.80/2.69 thf(func_def_3, type, 'const/sets/FINITE': !>[X0: $tType]:(((X0 > $o) > $o))).
% 16.80/2.69 thf(func_def_4, type, 'const/nums/NUMERAL': ('type/nums/num' > 'type/nums/num')).
% 16.80/2.69 thf(func_def_5, type, 'const/nums/_0': 'type/nums/num').
% 16.80/2.69 thf(func_def_6, type, 'const/iterate/nsum': !>[X0: $tType]:(((X0 > $o) > (X0 > 'type/nums/num') > 'type/nums/num'))).
% 16.80/2.69 thf(func_def_7, type, 'const/iterate/neutral': !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 16.80/2.69 thf(func_def_8, type, 'const/iterate/monoidal': !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 16.80/2.69 thf(func_def_9, type, 'const/iterate/iterate': !>[X0: $tType, X1: $tType]:(((X1 > X1 > X1) > (X0 > $o) > (X0 > X1) > X1))).
% 16.80/2.69 thf(func_def_10, type, 'const/arith/+': ('type/nums/num' > 'type/nums/num' > 'type/nums/num')).
% 16.80/2.69 thf(func_def_14, type, sK0: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > X1) > (X1 > X1 > X1) > X0))).
% 16.80/2.69 thf(func_def_15, type, sK2: (sK1 > 'type/nums/num')).
% 16.80/2.69 thf(func_def_16, type, sK3: (sK1 > $o)).
% 16.80/2.69 thf(func_def_17, type, sK4: (sK1 > $o)).
% 16.80/2.69 thf(func_def_18, type, vNOT: ($o > $o)).
% 16.80/2.69 thf(func_def_19, type, db0: !>[X0: $tType]:(X0)).
% 16.80/2.69 thf(func_def_20, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 16.80/2.69 thf(func_def_21, type, db1: !>[X0: $tType]:(X0)).
% 16.80/2.69 thf(func_def_22, type, db2: !>[X0: $tType]:(X0)).
% 16.80/2.69 thf(func_def_23, type, sK5: !>[X0: $tType]:(((X0 > sK1 > sK1) > (X0 > $o) > ($o > $o > $o) > (X0 > $o) > sK1))).
% 16.80/2.69 thf(func_def_24, type, sK6: !>[X0: $tType]:(((X0 > $o) > ($o > $o > $o) > (X0 > $o) > (X0 > sK1 > sK1) > sK1))).
% 16.80/2.69 thf(func_def_25, type, sK7: !>[X0: $tType]:(((X0 > $o) > ($o > $o > $o) > (X0 > $o) > (X0 > sK1 > sK1) > sK1))).
% 16.80/2.69 thf(func_def_26, type, sK8: !>[X0: $tType]:(((X0 > $o) > ($o > $o > $o) > (X0 > $o) > (X0 > sK1 > sK1) > sK1))).
% 16.80/2.69 thf(f1,axiom,(
% 16.80/2.69 ! [X0 : $tType,X2 : $tType,X1 : (X2 > X2 > X2)] : (('const/iterate/monoidal' @ X2 @ X1) => ! [X3 : (X0 > X2),X4 : (X0 > $o),X5 : (X0 > $o)] : ((! [X6 : X0] : (('const/sets/IN' @ X0 @ X6 @ ('const/sets/INTER' @ X0 @ X4 @ X5)) => (((X3 @ X6)) = (('const/iterate/neutral' @ X2 @ X1)))) & ('const/sets/FINITE' @ X0 @ X5) & ('const/sets/FINITE' @ X0 @ X4)) => ((('const/iterate/iterate' @ X0 @ X2 @ X1 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X1 @ ('const/iterate/iterate' @ X0 @ X2 @ X1 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X2 @ X1 @ X5 @ X3))))))),
% 16.80/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/ITERATE_UNION_NONZERO_')).
% 16.80/2.69 thf(f2,axiom,(
% 16.80/2.69 ('const/iterate/monoidal' @ 'type/nums/num' @ 'const/arith/+')),
% 16.80/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/MONOIDAL_ADD_')).
% 16.80/2.69 thf(f3,axiom,(
% 16.80/2.69 ! [X0 : $tType] : ('const/iterate/nsum' @ X0 = (('const/iterate/iterate' @ X0 @ 'type/nums/num' @ 'const/arith/+')))),
% 16.80/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/nsum_')).
% 16.80/2.69 thf(f4,axiom,(
% 16.80/2.69 ((('const/iterate/neutral' @ 'type/nums/num' @ 'const/arith/+')) = (('const/nums/NUMERAL' @ 'const/nums/_0')))),
% 16.80/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NEUTRAL_ADD_')).
% 16.80/2.69 thf(f5,conjecture,(
% 16.80/2.69 ! [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : ((! [X4 : X0] : (('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3)) => (((X1 @ X4)) = (('const/nums/NUMERAL' @ 'const/nums/_0')))) & ('const/sets/FINITE' @ X0 @ X3) & ('const/sets/FINITE' @ X0 @ X2)) => ((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) = (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))))),
% 16.80/2.69 file('/export/starexec/sandbox/benchmark/theBenchmark.p','thm/iterate/NSUM_UNION_NONZERO_')).
% 16.80/2.69 thf(f6,negated_conjecture,(
% 16.80/2.69 ~ ! [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : ((! [X4 : X0] : (('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3)) => (((X1 @ X4)) = (('const/nums/NUMERAL' @ 'const/nums/_0')))) & ('const/sets/FINITE' @ X0 @ X3) & ('const/sets/FINITE' @ X0 @ X2)) => ((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) = (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))))),
% 16.80/2.69 inference(negated_conjecture,[status(cth)],[f5])).
% 16.80/2.69 thf(f7,plain,(
% 16.80/2.69 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X1 > X1)] : (('const/iterate/monoidal' @ X1 @ X2) => ! [X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : ((! [X6 : X0] : (('const/sets/IN' @ X0 @ X6 @ ('const/sets/INTER' @ X0 @ X4 @ X5)) => (((X3 @ X6)) = (('const/iterate/neutral' @ X1 @ X2)))) & ('const/sets/FINITE' @ X0 @ X5) & ('const/sets/FINITE' @ X0 @ X4)) => ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3))))))),
% 16.80/2.69 inference(rectify,[],[f1])).
% 16.80/2.69 thf(f8,plain,(
% 16.80/2.69 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X1 > X1)] : (((('const/iterate/monoidal' @ X1 @ X2)) = $true) => ! [X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : ((! [X6 : X0] : (((('const/sets/IN' @ X0 @ X6 @ ('const/sets/INTER' @ X0 @ X4 @ X5))) = $true) => (((X3 @ X6)) = (('const/iterate/neutral' @ X1 @ X2)))) & ((('const/sets/FINITE' @ X0 @ X5)) = $true) & ((('const/sets/FINITE' @ X0 @ X4)) = $true)) => ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3))))))),
% 16.80/2.69 inference(fool_elimination,[],[f7])).
% 16.80/2.69 thf(f9,plain,(
% 16.80/2.69 ('const/iterate/monoidal' @ 'type/nums/num' @ 'const/arith/+')),
% 16.80/2.69 inference(rectify,[],[f2])).
% 16.80/2.69 thf(f10,plain,(
% 16.80/2.69 ((('const/iterate/monoidal' @ 'type/nums/num' @ 'const/arith/+')) = $true)),
% 16.80/2.69 inference(fool_elimination,[],[f9])).
% 16.80/2.69 thf(f11,plain,(
% 16.80/2.69 ~ ! [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : ((! [X4 : X0] : (('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3)) => (((X1 @ X4)) = (('const/nums/NUMERAL' @ 'const/nums/_0')))) & ('const/sets/FINITE' @ X0 @ X3) & ('const/sets/FINITE' @ X0 @ X2)) => ((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) = (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))))),
% 16.80/2.69 inference(rectify,[],[f6])).
% 16.80/2.69 thf(f12,plain,(
% 16.80/2.69 ~ ! [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : ((! [X4 : X0] : (((('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3))) = $true) => ((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((X1 @ X4)))) & ((('const/sets/FINITE' @ X0 @ X3)) = $true) & ((('const/sets/FINITE' @ X0 @ X2)) = $true)) => ((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) = (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))))),
% 16.80/2.69 inference(fool_elimination,[],[f11])).
% 16.80/2.69 thf(f13,plain,(
% 16.80/2.69 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X1 > X1)] : (! [X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : (((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3)))) | (? [X6 : X0] : ((((X3 @ X6)) != (('const/iterate/neutral' @ X1 @ X2))) & ((('const/sets/IN' @ X0 @ X6 @ ('const/sets/INTER' @ X0 @ X4 @ X5))) = $true)) | ((('const/sets/FINITE' @ X0 @ X5)) != $true) | ((('const/sets/FINITE' @ X0 @ X4)) != $true))) | ((('const/iterate/monoidal' @ X1 @ X2)) != $true))),
% 16.80/2.69 inference(ennf_transformation,[],[f8])).
% 16.80/2.69 thf(f14,plain,(
% 16.80/2.69 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X1 > X1)] : (! [X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : (((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3)))) | ? [X6 : X0] : ((((X3 @ X6)) != (('const/iterate/neutral' @ X1 @ X2))) & ((('const/sets/IN' @ X0 @ X6 @ ('const/sets/INTER' @ X0 @ X4 @ X5))) = $true)) | ((('const/sets/FINITE' @ X0 @ X5)) != $true) | ((('const/sets/FINITE' @ X0 @ X4)) != $true)) | ((('const/iterate/monoidal' @ X1 @ X2)) != $true))),
% 16.80/2.69 inference(flattening,[],[f13])).
% 16.80/2.69 thf(f15,plain,(
% 16.80/2.69 ? [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : (((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) != (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))) & (! [X4 : X0] : (((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((X1 @ X4))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3))) != $true)) & ((('const/sets/FINITE' @ X0 @ X3)) = $true) & ((('const/sets/FINITE' @ X0 @ X2)) = $true)))),
% 16.80/2.69 inference(ennf_transformation,[],[f12])).
% 16.80/2.69 thf(f16,plain,(
% 16.80/2.69 ? [X0 : $tType,X1 : (X0 > 'type/nums/num'),X2 : (X0 > $o),X3 : (X0 > $o)] : (((('const/iterate/nsum' @ X0 @ ('const/sets/UNION' @ X0 @ X2 @ X3) @ X1)) != (('const/arith/+' @ ('const/iterate/nsum' @ X0 @ X2 @ X1) @ ('const/iterate/nsum' @ X0 @ X3 @ X1)))) & ! [X4 : X0] : (((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((X1 @ X4))) | ((('const/sets/IN' @ X0 @ X4 @ ('const/sets/INTER' @ X0 @ X2 @ X3))) != $true)) & ((('const/sets/FINITE' @ X0 @ X3)) = $true) & ((('const/sets/FINITE' @ X0 @ X2)) = $true))),
% 16.80/2.69 inference(flattening,[],[f15])).
% 16.80/2.69 thf(f17,plain,(
% 16.80/2.69 ! [X0 : $tType,X1 : $tType,X2 : (X1 > X1 > X1)] : (! [X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : (((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3)))) | (((('const/iterate/neutral' @ X1 @ X2)) != ((X3 @ (sK0 @ X0 @ X1 @ X5 @ X4 @ X3 @ X2)))) & ($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X1 @ X5 @ X4 @ X3 @ X2) @ ('const/sets/INTER' @ X0 @ X4 @ X5))))) | ((('const/sets/FINITE' @ X0 @ X5)) != $true) | ((('const/sets/FINITE' @ X0 @ X4)) != $true)) | ((('const/iterate/monoidal' @ X1 @ X2)) != $true))),
% 16.80/2.69 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X6,sK0 @ X0 @ X1 @ X5 @ X4 @ X3 @ X2)],[f14])).
% 16.80/2.69 thf(f18,plain,(
% 16.80/2.69 ((('const/iterate/nsum' @ sK1 @ ('const/sets/UNION' @ sK1 @ sK3 @ sK4) @ sK2)) != (('const/arith/+' @ ('const/iterate/nsum' @ sK1 @ sK3 @ sK2) @ ('const/iterate/nsum' @ sK1 @ sK4 @ sK2)))) & ! [X4 : sK1] : (((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((sK2 @ X4))) | ($true != (('const/sets/IN' @ sK1 @ X4 @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4))))) & ($true = (('const/sets/FINITE' @ sK1 @ sK4))) & ($true = (('const/sets/FINITE' @ sK1 @ sK3)))),
% 16.80/2.69 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4)],[f16])).
% 16.80/2.69 thf(f19,plain,(
% 16.80/2.69 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : (((('const/iterate/monoidal' @ X1 @ X2)) != $true) | ($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X1 @ X5 @ X4 @ X3 @ X2) @ ('const/sets/INTER' @ X0 @ X4 @ X5)))) | ((('const/sets/FINITE' @ X0 @ X5)) != $true) | ((('const/sets/FINITE' @ X0 @ X4)) != $true) | ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3))))) )),
% 16.80/2.69 inference(cnf_transformation,[],[f17])).
% 16.80/2.69 thf(f20,plain,(
% 16.80/2.69 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o),X5 : (X0 > $o)] : (((('const/iterate/neutral' @ X1 @ X2)) != ((X3 @ (sK0 @ X0 @ X1 @ X5 @ X4 @ X3 @ X2)))) | ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/sets/UNION' @ X0 @ X4 @ X5) @ X3)) = ((X2 @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3) @ ('const/iterate/iterate' @ X0 @ X1 @ X2 @ X5 @ X3)))) | ((('const/sets/FINITE' @ X0 @ X5)) != $true) | ((('const/sets/FINITE' @ X0 @ X4)) != $true) | ((('const/iterate/monoidal' @ X1 @ X2)) != $true)) )),
% 16.80/2.69 inference(cnf_transformation,[],[f17])).
% 16.80/2.69 thf(f21,plain,(
% 16.80/2.69 ((('const/iterate/monoidal' @ 'type/nums/num' @ 'const/arith/+')) = $true)),
% 16.80/2.69 inference(cnf_transformation,[],[f10])).
% 16.80/2.69 thf(f22,plain,(
% 16.80/2.69 ( ! [X0 : $tType] : (('const/iterate/nsum' @ X0 = (('const/iterate/iterate' @ X0 @ 'type/nums/num' @ 'const/arith/+')))) )),
% 16.80/2.69 inference(cnf_transformation,[],[f3])).
% 16.80/2.69 thf(f23,plain,(
% 16.80/2.69 ((('const/iterate/neutral' @ 'type/nums/num' @ 'const/arith/+')) = (('const/nums/NUMERAL' @ 'const/nums/_0')))),
% 16.80/2.69 inference(cnf_transformation,[],[f4])).
% 16.80/2.69 thf(f24,plain,(
% 16.80/2.69 ($true = (('const/sets/FINITE' @ sK1 @ sK3)))),
% 16.80/2.69 inference(cnf_transformation,[],[f18])).
% 16.80/2.69 thf(f25,plain,(
% 16.80/2.69 ($true = (('const/sets/FINITE' @ sK1 @ sK4)))),
% 16.80/2.69 inference(cnf_transformation,[],[f18])).
% 16.80/2.69 thf(f26,plain,(
% 16.80/2.69 ( ! [X4 : sK1] : (($true != (('const/sets/IN' @ sK1 @ X4 @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4)))) | ((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((sK2 @ X4)))) )),
% 16.80/2.69 inference(cnf_transformation,[],[f18])).
% 16.80/2.69 thf(f27,plain,(
% 16.80/2.69 ((('const/iterate/nsum' @ sK1 @ ('const/sets/UNION' @ sK1 @ sK3 @ sK4) @ sK2)) != (('const/arith/+' @ ('const/iterate/nsum' @ sK1 @ sK3 @ sK2) @ ('const/iterate/nsum' @ sK1 @ sK4 @ sK2))))),
% 16.80/2.69 inference(cnf_transformation,[],[f18])).
% 16.80/2.69 thf(f29,definition,(
% 16.80/2.69 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 16.80/2.69 introduced(theory,[fool_exhaustiveness_axiom])).
% 16.80/2.69 thf(f30,plain,(
% 16.80/2.69 ((('const/iterate/iterate' @ sK1 @ 'type/nums/num' @ 'const/arith/+' @ ('const/sets/UNION' @ sK1 @ sK3 @ sK4) @ sK2)) != (('const/arith/+' @ ('const/iterate/iterate' @ sK1 @ 'type/nums/num' @ 'const/arith/+' @ sK3 @ sK2) @ ('const/iterate/iterate' @ sK1 @ 'type/nums/num' @ 'const/arith/+' @ sK4 @ sK2))))),
% 16.80/2.69 inference(definition_unfolding,[],[f27,f22,f22,f22])).
% 16.80/2.69 thf(f35,plain,(
% 16.80/2.69 ( ! [X0 : sK1] : (($true != $true) | ((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((sK2 @ X0))) | ($false = (('const/sets/IN' @ sK1 @ X0 @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4))))) )),
% 16.80/2.69 inference(constrained_superposition,[],[f26,f29])).
% 16.80/2.69 thf(f37,plain,(
% 16.80/2.69 ( ! [X0 : sK1] : (($false = (('const/sets/IN' @ sK1 @ X0 @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4)))) | ((('const/nums/NUMERAL' @ 'const/nums/_0')) = ((sK2 @ X0)))) )),
% 16.80/2.69 inference(trivial_inequality_removal,[],[f35])).
% 16.80/2.69 thf(f46,plain,(
% 16.80/2.69 ((('const/iterate/neutral' @ 'type/nums/num' @ 'const/arith/+')) != ((sK2 @ (sK0 @ sK1 @ 'type/nums/num' @ sK4 @ sK3 @ sK2 @ 'const/arith/+'))))),
% 16.80/2.69 inference(unit_resulting_resolution,[],[f20,f25,f24,f21,f30])).
% 16.80/2.69 thf(f86,plain,(
% 16.80/2.69 ((('const/nums/NUMERAL' @ 'const/nums/_0')) != ((sK2 @ (sK0 @ sK1 @ 'type/nums/num' @ sK4 @ sK3 @ sK2 @ 'const/arith/+'))))),
% 16.80/2.69 inference(forward_demodulation,[],[f46,f23])).
% 16.80/2.69 thf(f87,plain,(
% 16.80/2.69 ($false = (('const/sets/IN' @ sK1 @ (sK0 @ sK1 @ 'type/nums/num' @ sK4 @ sK3 @ sK2 @ 'const/arith/+') @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4))))),
% 16.80/2.69 inference(unit_resulting_resolution,[],[f37,f86])).
% 16.80/2.69 thf(f819,plain,(
% 16.80/2.69 ($true = (('const/sets/IN' @ sK1 @ (sK0 @ sK1 @ 'type/nums/num' @ sK4 @ sK3 @ sK2 @ 'const/arith/+') @ ('const/sets/INTER' @ sK1 @ sK3 @ sK4))))),
% 16.80/2.69 inference(unit_resulting_resolution,[],[f19,f25,f24,f21,f30])).
% 16.80/2.69 thf(f824,plain,(
% 16.80/2.69 ($true = $false)),
% 16.80/2.69 inference(forward_demodulation,[],[f819,f87])).
% 16.80/2.69 thf(f825,plain,(
% 16.80/2.69 $false),
% 16.80/2.69 inference(trivial_inequality_removal,[],[f824])).
% 16.80/2.69 % SZS output end Proof for theBenchmark
% 16.80/2.69 % (959913)------------------------------
% 16.80/2.69 % (959913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.80/2.69 % (959913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.80/2.69 % (959913)CaDiCaL version: 2.1.3
% 16.80/2.69 % (959913)Termination reason: Refutation
% 16.80/2.69 % (959913)Time elapsed: 0.088 s
% 16.80/2.69 % (959913)Peak memory usage: 12 MB
% 16.80/2.69 % (959913)Instructions burned: 167 (million)
% 16.80/2.69 % (959844)Success in time 2.461 s
% 16.80/2.69 % Vampire exiting
%------------------------------------------------------------------------------