%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ITP132^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:10:49 AM UTC 2026
% Result : Theorem 86.34s 12.68s
% Output : Refutation 86.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP132^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n026.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 20:00:57 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 5.60/1.16 % (1105931)Will run a generic schedule for satisfiability detection.
% 5.60/1.16 % (1105937)% WARNING: option uhcvi not known.
% 5.60/1.16 % (1105936)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=380262177_2999 on theBenchmark for (2999ds/0Mi)
% 5.60/1.16 % (1105937)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3944686119:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.60/1.16 % (1105938)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4170262637:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.60/1.16 % (1105939)dis+10_1_sil=32000:sp=arity:random_seed=3425843799:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.60/1.16 % (1105940)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1415422063:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.60/1.16 % (1105941)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1312730624:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.60/1.16 % (1105937)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.60/1.16 % (1105940)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.60/1.16 % (1105942)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2995756375:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.60/1.16 % Exception at run slice level
% 5.60/1.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.60/1.16 % (1105937)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.60/1.16 % (1105939)Instruction limit reached!
% 5.60/1.16 % (1105939)------------------------------
% 5.60/1.16 % (1105939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.16 % (1105939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.16 % (1105939)CaDiCaL version: 2.1.3
% 5.60/1.16 % (1105939)Termination reason: Instruction limit
% 5.60/1.16 % (1105939)Termination phase: Saturation
% 5.60/1.16 % (1105939)Time elapsed: 0.045 s
% 5.60/1.16 % (1105939)Peak memory usage: 12 MB
% 5.60/1.16 % (1105939)Instructions burned: 104 (million)
% 5.60/1.16 % (1105940)Instruction limit reached!
% 5.60/1.16 % (1105940)------------------------------
% 5.60/1.16 % (1105940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.16 % (1105940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.16 % (1105940)CaDiCaL version: 2.1.3
% 5.60/1.16 % (1105940)Termination reason: Instruction limit
% 5.60/1.16 % (1105940)Termination phase: Saturation
% 5.60/1.16 % (1105940)Time elapsed: 0.052 s
% 5.60/1.16 % (1105940)Peak memory usage: 13 MB
% 5.60/1.16 % (1105940)Instructions burned: 117 (million)
% 5.60/1.16 % (1105950)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4022490207:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 5.60/1.16 % (1105951)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4239462195:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 5.60/1.16 % (1105941)Instruction limit reached!
% 5.60/1.16 % (1105941)------------------------------
% 5.60/1.16 % (1105941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.60/1.16 % (1105941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.60/1.16 % (1105941)CaDiCaL version: 2.1.3
% 5.60/1.16 % (1105941)Termination reason: Instruction limit
% 5.60/1.16 % (1105941)Termination phase: Saturation
% 5.60/1.16 % (1105941)Time elapsed: 0.057 s
% 5.60/1.16 % (1105941)Peak memory usage: 13 MB
% 5.60/1.16 % (1105941)Instructions burned: 131 (million)
% 5.60/1.16 % (1105952)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=4224338129:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 5.60/1.16 % (1105952)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 5.60/1.16 % (1105955)ott-21_1_sil=16000:fs=off:random_seed=3925010398:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.60/1.16 % Exception at run slice level
% 5.60/1.16 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 5.60/1.16 % (1105952)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 5.60/1.16 % (1105958)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3125578217:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 21.84/3.48 % (1105951)Instruction limit reached!
% 21.84/3.48 % (1105951)------------------------------
% 21.84/3.48 % (1105951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.84/3.48 % (1105951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/3.48 % (1105951)CaDiCaL version: 2.1.3
% 21.84/3.48 % (1105951)Termination reason: Instruction limit
% 21.84/3.48 % (1105951)Termination phase: Saturation
% 21.84/3.48 % (1105951)Time elapsed: 0.061 s
% 21.84/3.48 % (1105951)Peak memory usage: 13 MB
% 21.84/3.48 % (1105951)Instructions burned: 132 (million)
% 21.84/3.48 % (1105960)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1652072423:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 21.84/3.48 % (1105942)Instruction limit reached!
% 21.84/3.48 % (1105942)------------------------------
% 21.84/3.48 % (1105942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.84/3.48 % (1105942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/3.48 % (1105942)CaDiCaL version: 2.1.3
% 21.84/3.48 % (1105942)Termination reason: Instruction limit
% 21.84/3.48 % (1105942)Termination phase: Saturation
% 21.84/3.48 % (1105942)Time elapsed: 0.134 s
% 21.84/3.48 % (1105942)Peak memory usage: 13 MB
% 21.84/3.48 % (1105942)Instructions burned: 159 (million)
% 21.84/3.48 % Exception at run slice level
% 21.84/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.84/3.48 % (1105955)Instruction limit reached!
% 21.84/3.48 % (1105955)------------------------------
% 21.84/3.48 % (1105955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.84/3.48 % (1105955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/3.48 % (1105955)CaDiCaL version: 2.1.3
% 21.84/3.48 % (1105955)Termination reason: Instruction limit
% 21.84/3.48 % (1105955)Termination phase: Saturation
% 21.84/3.48 % (1105955)Time elapsed: 0.096 s
% 21.84/3.48 % (1105955)Peak memory usage: 14 MB
% 21.84/3.48 % (1105955)Instructions burned: 181 (million)
% 21.84/3.48 % (1105962)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2697721750:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 21.84/3.48 % (1105963)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1454100431:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 21.84/3.48 % (1105964)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=1682690984:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 21.84/3.48 % (1105964)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.84/3.48 % Exception at run slice level
% 21.84/3.48 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 21.84/3.48 % (1105968)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=960730676:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 21.84/3.48 % (1105968)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 21.84/3.48 % (1105952)Instruction limit reached!
% 21.84/3.48 % (1105952)------------------------------
% 21.84/3.48 % (1105952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.84/3.48 % (1105952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/3.48 % (1105952)CaDiCaL version: 2.1.3
% 21.84/3.48 % (1105952)Termination reason: Instruction limit
% 21.84/3.48 % (1105952)Termination phase: Saturation
% 21.84/3.48 % (1105952)Time elapsed: 0.248 s
% 21.84/3.48 % (1105952)Peak memory usage: 15 MB
% 21.84/3.48 % (1105952)Instructions burned: 685 (million)
% 21.84/3.48 % (1105970)fmb+10_1_sil=64000:random_seed=2476278660:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 21.84/3.48 % (1105958)Instruction limit reached!
% 21.84/3.48 % (1105958)------------------------------
% 21.84/3.48 % (1105958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.84/3.48 % (1105958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.84/3.48 % (1105958)CaDiCaL version: 2.1.3
% 21.84/3.48 % (1105958)Termination reason: Instruction limit
% 21.84/3.48 % (1105958)Termination phase: Saturation
% 21.84/3.48 % (1105958)Time elapsed: 0.255 s
% 21.84/3.48 % (1105958)Peak memory usage: 14 MB
% 21.84/3.48 % (1105958)Instructions burned: 478 (million)
% 40.37/6.05 % (1105970)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.37/6.05 % Exception at run slice level
% 40.37/6.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.37/6.05 % (1105972)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2236880772:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 40.37/6.05 % (1105973)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2365861836:fmbsr=1.7:i=920_2995 on theBenchmark for (2995ds/920Mi)
% 40.37/6.05 % Exception at run slice level
% 40.37/6.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.37/6.05 % Exception at run slice level
% 40.37/6.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.37/6.05 % (1105976)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3637029608:i=5131_2995 on theBenchmark for (2995ds/5131Mi)
% 40.37/6.05 % (1105977)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1406629280:i=1472:ins=7:fdi=8:gsp=on_2995 on theBenchmark for (2995ds/1472Mi)
% 40.37/6.05 % (1105976)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.37/6.05 % (1105977)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 40.37/6.05 % (1105977)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 40.37/6.05 % (1105968)Instruction limit reached!
% 40.37/6.05 % (1105968)------------------------------
% 40.37/6.05 % (1105968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/6.05 % (1105968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.05 % (1105968)CaDiCaL version: 2.1.3
% 40.37/6.05 % (1105968)Termination reason: Instruction limit
% 40.37/6.05 % (1105968)Termination phase: Saturation
% 40.37/6.05 % (1105968)Time elapsed: 0.430 s
% 40.37/6.05 % (1105968)Peak memory usage: 19 MB
% 40.37/6.05 % (1105968)Instructions burned: 880 (million)
% 40.37/6.05 % (1105964)Instruction limit reached!
% 40.37/6.05 % (1105964)------------------------------
% 40.37/6.05 % (1105964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/6.05 % (1105964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.05 % (1105964)CaDiCaL version: 2.1.3
% 40.37/6.05 % (1105964)Termination reason: Instruction limit
% 40.37/6.05 % (1105964)Termination phase: Saturation
% 40.37/6.05 % (1105964)Time elapsed: 0.512 s
% 40.37/6.05 % (1105964)Peak memory usage: 16 MB
% 40.37/6.05 % (1105964)Instructions burned: 694 (million)
% 40.37/6.05 % (1105981)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3565513224:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 40.37/6.05 % (1105980)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2775836355:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 40.37/6.05 % (1105962)Instruction limit reached!
% 40.37/6.05 % (1105962)------------------------------
% 40.37/6.05 % (1105962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 40.37/6.05 % (1105962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.05 % (1105962)CaDiCaL version: 2.1.3
% 40.37/6.05 % (1105962)Termination reason: Instruction limit
% 40.37/6.05 % (1105962)Termination phase: Saturation
% 40.37/6.05 % (1105962)Time elapsed: 0.583 s
% 40.37/6.05 % (1105962)Peak memory usage: 20 MB
% 40.37/6.05 % (1105962)Instructions burned: 1180 (million)
% 40.37/6.05 % Exception at run slice level
% 40.37/6.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.37/6.05 % (1105985)ott+10_1_sil=32000:tgt=ground:random_seed=177584035:i=5114:av=off_2991 on theBenchmark for (2991ds/5114Mi)
% 40.37/6.05 % (1105984)ott-2_1_sil=16000:newcnf=on:random_seed=990884567:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 40.37/6.05 % (1105984)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 40.37/6.05 % Exception at run slice level
% 40.37/6.05 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 40.37/6.05 % (1105988)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2492344622:i=54282_2991 on theBenchmark for (2991ds/54282Mi)
% 40.37/6.05 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % (1105990)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2760473535:i=3512:aac=none_2990 on theBenchmark for (2990ds/3512Mi)
% 86.34/12.68 % (1105990)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.34/12.68 % (1105984)Instruction limit reached!
% 86.34/12.68 % (1105984)------------------------------
% 86.34/12.68 % (1105984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105984)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105984)Termination reason: Instruction limit
% 86.34/12.68 % (1105984)Termination phase: Saturation
% 86.34/12.68 % (1105984)Time elapsed: 0.390 s
% 86.34/12.68 % (1105984)Peak memory usage: 17 MB
% 86.34/12.68 % (1105984)Instructions burned: 871 (million)
% 86.34/12.68 % (1105977)Instruction limit reached!
% 86.34/12.68 % (1105977)------------------------------
% 86.34/12.68 % (1105977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105977)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105977)Termination reason: Instruction limit
% 86.34/12.68 % (1105977)Termination phase: Saturation
% 86.34/12.68 % (1105977)Time elapsed: 0.747 s
% 86.34/12.68 % (1105977)Peak memory usage: 20 MB
% 86.34/12.68 % (1105977)Instructions burned: 1473 (million)
% 86.34/12.68 % (1105992)dis+21_1_sil=32000:sas=cadical:random_seed=1351344203:i=3773:amm=off_2987 on theBenchmark for (2987ds/3773Mi)
% 86.34/12.68 % (1105993)ott+11_1_sil=16000:gs=on:random_seed=277095479:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2987 on theBenchmark for (2987ds/2251Mi)
% 86.34/12.68 % (1105993)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.34/12.68 % (1105985)Instruction limit reached!
% 86.34/12.68 % (1105985)------------------------------
% 86.34/12.68 % (1105985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105985)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105985)Termination reason: Instruction limit
% 86.34/12.68 % (1105985)Termination phase: Saturation
% 86.34/12.68 % (1105985)Time elapsed: 1.265 s
% 86.34/12.68 % (1105985)Peak memory usage: 37 MB
% 86.34/12.68 % (1105985)Instructions burned: 5115 (million)
% 86.34/12.68 % (1105997)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=1665544281:fmbsr=1.6:i=67534_2979 on theBenchmark for (2979ds/67534Mi)
% 86.34/12.68 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % (1105999)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2468828536:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2978 on theBenchmark for (2978ds/4591Mi)
% 86.34/12.68 % (1105993)Instruction limit reached!
% 86.34/12.68 % (1105993)------------------------------
% 86.34/12.68 % (1105993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105993)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105993)Termination reason: Instruction limit
% 86.34/12.68 % (1105993)Termination phase: Saturation
% 86.34/12.68 % (1105993)Time elapsed: 1.130 s
% 86.34/12.68 % (1105993)Peak memory usage: 25 MB
% 86.34/12.68 % (1105993)Instructions burned: 2251 (million)
% 86.34/12.68 % (1106001)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4073260427:i=29340_2976 on theBenchmark for (2976ds/29340Mi)
% 86.34/12.68 % (1105992)Instruction limit reached!
% 86.34/12.68 % (1105992)------------------------------
% 86.34/12.68 % (1105992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105992)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105992)Termination reason: Instruction limit
% 86.34/12.68 % (1105992)Termination phase: Saturation
% 86.34/12.68 % (1105992)Time elapsed: 1.985 s
% 86.34/12.68 % (1105992)Peak memory usage: 29 MB
% 86.34/12.68 % (1105992)Instructions burned: 3776 (million)
% 86.34/12.68 % (1105976)Instruction limit reached!
% 86.34/12.68 % (1105976)------------------------------
% 86.34/12.68 % (1105976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105976)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105976)Termination reason: Instruction limit
% 86.34/12.68 % (1105976)Termination phase: Saturation
% 86.34/12.68 % (1105976)Time elapsed: 2.759 s
% 86.34/12.68 % (1105976)Peak memory usage: 30 MB
% 86.34/12.68 % (1105976)Instructions burned: 5134 (million)
% 86.34/12.68 % (1105990)Instruction limit reached!
% 86.34/12.68 % (1105990)------------------------------
% 86.34/12.68 % (1105990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105990)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105990)Termination reason: Instruction limit
% 86.34/12.68 % (1105990)Termination phase: Saturation
% 86.34/12.68 % (1105990)Time elapsed: 2.310 s
% 86.34/12.68 % (1105990)Peak memory usage: 29 MB
% 86.34/12.68 % (1105990)Instructions burned: 3512 (million)
% 86.34/12.68 % (1106003)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=1521054695:i=5211_2967 on theBenchmark for (2967ds/5211Mi)
% 86.34/12.68 % (1106004)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1691977744:i=5497:nm=2_2967 on theBenchmark for (2967ds/5497Mi)
% 86.34/12.68 % (1106006)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=2146089473:fmbsr=2:i=46332_2967 on theBenchmark for (2967ds/46332Mi)
% 86.34/12.68 % (1105999)Instruction limit reached!
% 86.34/12.68 % (1105999)------------------------------
% 86.34/12.68 % (1105999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105999)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105999)Termination reason: Instruction limit
% 86.34/12.68 % (1105999)Termination phase: Saturation
% 86.34/12.68 % (1105999)Time elapsed: 1.154 s
% 86.34/12.68 % (1105999)Peak memory usage: 37 MB
% 86.34/12.68 % (1105999)Instructions burned: 4591 (million)
% 86.34/12.68 % (1106009)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2529491134:i=14071_2967 on theBenchmark for (2967ds/14071Mi)
% 86.34/12.68 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % (1106012)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=2865953403:i=8173:av=off_2966 on theBenchmark for (2966ds/8173Mi)
% 86.34/12.68 % (1106011)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3114669934:i=22565:add=on:rawr=on_2966 on theBenchmark for (2966ds/22565Mi)
% 86.34/12.68 % (1106013)dis+10_16:1_sil=16000:random_seed=2722343831:i=9155:fsr=off_2966 on theBenchmark for (2966ds/9155Mi)
% 86.34/12.68 % (1106013)Instruction limit reached!
% 86.34/12.68 % (1106013)------------------------------
% 86.34/12.68 % (1106013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106013)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106013)Termination reason: Instruction limit
% 86.34/12.68 % (1106013)Termination phase: Saturation
% 86.34/12.68 % (1106013)Time elapsed: 2.308 s
% 86.34/12.68 % (1106013)Peak memory usage: 49 MB
% 86.34/12.68 % (1106013)Instructions burned: 9157 (million)
% 86.34/12.68 % (1106019)ott-3_8_sil=64000:random_seed=76117730:i=20139:bs=on_2943 on theBenchmark for (2943ds/20139Mi)
% 86.34/12.68 % (1106003)Instruction limit reached!
% 86.34/12.68 % (1106003)------------------------------
% 86.34/12.68 % (1106003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106003)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106003)Termination reason: Instruction limit
% 86.34/12.68 % (1106003)Termination phase: Saturation
% 86.34/12.68 % (1106003)Time elapsed: 2.533 s
% 86.34/12.68 % (1106003)Peak memory usage: 49 MB
% 86.34/12.68 % (1106003)Instructions burned: 5211 (million)
% 86.34/12.68 % (1106021)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=2155239819:fmbsr=2:i=32576_2942 on theBenchmark for (2942ds/32576Mi)
% 86.34/12.68 % Exception at run slice level
% 86.34/12.68 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 86.34/12.68 % (1106023)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=3548778020:i=11404_2941 on theBenchmark for (2941ds/11404Mi)
% 86.34/12.68 % (1106012)Instruction limit reached!
% 86.34/12.68 % (1106012)------------------------------
% 86.34/12.68 % (1106012)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106012)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106012)Termination reason: Instruction limit
% 86.34/12.68 % (1106012)Termination phase: Saturation
% 86.34/12.68 % (1106012)Time elapsed: 4.046 s
% 86.34/12.68 % (1106012)Peak memory usage: 46 MB
% 86.34/12.68 % (1106012)Instructions burned: 8174 (million)
% 86.34/12.68 % (1106025)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=2936519247:i=14134_2926 on theBenchmark for (2926ds/14134Mi)
% 86.34/12.68 % (1106025)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 86.34/12.68 % (1106019)Instruction limit reached!
% 86.34/12.68 % (1106019)------------------------------
% 86.34/12.68 % (1106019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106019)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106019)Termination reason: Instruction limit
% 86.34/12.68 % (1106019)Termination phase: Saturation
% 86.34/12.68 % (1106019)Time elapsed: 3.769 s
% 86.34/12.68 % (1106019)Peak memory usage: 27 MB
% 86.34/12.68 % (1106019)Instructions burned: 20142 (million)
% 86.34/12.68 % (1106033)dis+33_16_sil=32000:sac=on:random_seed=1925171512:i=15851:nm=0_2905 on theBenchmark for (2905ds/15851Mi)
% 86.34/12.68 % (1106023)Instruction limit reached!
% 86.34/12.68 % (1106023)------------------------------
% 86.34/12.68 % (1106023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106023)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106023)Termination reason: Instruction limit
% 86.34/12.68 % (1106023)Termination phase: Saturation
% 86.34/12.68 % (1106023)Time elapsed: 5.948 s
% 86.34/12.68 % (1106023)Peak memory usage: 79 MB
% 86.34/12.68 % (1106023)Instructions burned: 11405 (million)
% 86.34/12.68 % (1106035)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=3804608013:avsq=on:i=17627:add=on:amm=off_2881 on theBenchmark for (2881ds/17627Mi)
% 86.34/12.68 % (1106033)Instruction limit reached!
% 86.34/12.68 % (1106033)------------------------------
% 86.34/12.68 % (1106033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1106033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1106033)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1106033)Termination reason: Instruction limit
% 86.34/12.68 % (1106033)Termination phase: Saturation
% 86.34/12.68 % (1106033)Time elapsed: 2.857 s
% 86.34/12.68 % (1106033)Peak memory usage: 21 MB
% 86.34/12.68 % (1106033)Instructions burned: 15853 (million)
% 86.34/12.68 % (1106037)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=2895823659:s2a=on:i=53295_2876 on theBenchmark for (2876ds/53295Mi)
% 86.34/12.68 % (1105937) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1105931-1105937"...
% 86.34/12.68 % (1105937)...printing done.
% 86.34/12.68 % (1105937)Refutation found. Thanks to Tanya!
% 86.34/12.68 % SZS status Theorem for theBenchmark
% 86.34/12.68 % SZS output start Proof for theBenchmark
% 86.34/12.68 thf(type_def_5, type, set: $tType > $tType).
% 86.34/12.68 thf(type_def_6, type, nat: $tType).
% 86.34/12.68 thf(type_def_7, type, sTfun: ($tType * $tType) > $tType).
% 86.34/12.68 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_1, type, dvd: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_2, type, one: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_3, type, ring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_4, type, zero: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_5, type, minus: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_6, type, ord: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_7, type, neg_numeral: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_8, type, order: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_9, type, comm_ring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_10, type, mult_zero: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_11, type, group_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_12, type, no_bot: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_13, type, no_top: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_14, type, semiring_0: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_15, type, monoid_mult: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_16, type, linorder: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_17, type, preorder: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_18, type, ordered_ring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_19, type, zero_neq_one: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_20, type, ab_group_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_21, type, wellorder: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_22, type, semigroup_mult: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_23, type, dense_order: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_24, type, linordered_idom: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_25, type, linordered_ring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_26, type, comm_monoid_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_27, type, ordered_semiring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_28, type, comm_monoid_diff: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_29, type, comm_monoid_mult: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_30, type, ab_semigroup_mult: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_31, type, ordered_semiring_0: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_32, type, ordered_ab_group_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_33, type, ordere1490568538miring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_34, type, comm_s1003936772cancel: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_35, type, linord581940658strict: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_36, type, cancel1352612707id_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_37, type, ring_11004092258visors: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_38, type, cancel146912293up_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_39, type, ordere216010020id_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_40, type, semiri1193490041visors: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_41, type, linord1659791738miring: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_42, type, canoni770627133id_add: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_43, type, semiri1923998003cancel: !>[X0: $tType]:($o)).
% 86.34/12.68 thf(func_def_44, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 86.34/12.68 thf(func_def_45, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 86.34/12.68 thf(func_def_46, type, one_one: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_47, type, times_times: !>[X0: $tType]:((X0 > X0 > X0))).
% 86.34/12.68 thf(func_def_48, type, zero_zero: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_49, type, groups1340683514dd_sum: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X1))).
% 86.34/12.68 thf(func_def_50, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 86.34/12.68 thf(func_def_51, type, number2016821345itions: ((nat > nat) > nat > $o)).
% 86.34/12.68 thf(func_def_52, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_53, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_54, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 86.34/12.68 thf(func_def_55, type, set_ord_atMost: !>[X0: $tType]:((X0 > set @ X0))).
% 86.34/12.68 thf(func_def_56, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 86.34/12.68 thf(func_def_57, type, k: nat).
% 86.34/12.68 thf(func_def_58, type, n: nat).
% 86.34/12.68 thf(func_def_59, type, p: (nat > nat)).
% 86.34/12.68 thf(func_def_63, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_65, type, db0: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_66, type, db1: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_67, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 86.34/12.68 thf(func_def_68, type, vOR: ($o > $o > $o)).
% 86.34/12.68 thf(func_def_69, type, vAND: ($o > $o > $o)).
% 86.34/12.68 thf(func_def_70, type, db3: !>[X0: $tType]:(X0)).
% 86.34/12.68 thf(func_def_71, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 86.34/12.68 thf(func_def_72, type, vIMP: ($o > $o > $o)).
% 86.34/12.68 thf(func_def_73, type, vNOT: ($o > $o)).
% 86.34/12.68 thf(func_def_74, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 86.34/12.68 thf(func_def_75, type, sP0: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > $o))).
% 86.34/12.68 thf(func_def_76, type, sP1: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > $o))).
% 86.34/12.68 thf(func_def_77, type, sP2: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_78, type, sP3: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_79, type, sP4: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 86.34/12.68 thf(func_def_80, type, sK5: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 86.34/12.68 thf(func_def_81, type, sK6: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 86.34/12.68 thf(func_def_82, type, sK7: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_83, type, sK8: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_84, type, sK9: ((nat > $o) > nat)).
% 86.34/12.68 thf(func_def_85, type, sK10: (nat > (nat > $o) > nat)).
% 86.34/12.68 thf(func_def_86, type, sK11: ((nat > $o) > nat)).
% 86.34/12.68 thf(func_def_87, type, sK12: (nat > (nat > $o) > nat)).
% 86.34/12.68 thf(func_def_88, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 86.34/12.68 thf(func_def_89, type, sK14: !>[X0: $tType]:(((X0 > nat) > (X0 > nat) > set @ X0 > X0))).
% 86.34/12.68 thf(func_def_90, type, sK15: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_91, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_92, type, sK17: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 86.34/12.68 thf(func_def_93, type, sK18: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_94, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > X0))).
% 86.34/12.68 thf(func_def_95, type, sK20: !>[X0: $tType, X1: $tType]:((set @ X1 > (X1 > X0) > set @ X0 > X1))).
% 86.34/12.68 thf(func_def_96, type, sK21: !>[X0: $tType, X1: $tType]:((set @ X1 > (X0 > X1) > (X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_97, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > (X2 > X0) > set @ X2 > X0))).
% 86.34/12.68 thf(func_def_98, type, sK23: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > (X1 > X0) > set @ X1 > X1))).
% 86.34/12.68 thf(func_def_99, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X1) > (X0 > X2) > set @ X0 > set @ X2 > X0))).
% 86.34/12.68 thf(func_def_100, type, sK25: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1 > X1))).
% 86.34/12.68 thf(func_def_101, type, sK26: !>[X0: $tType, X1: $tType]:((X0 > (X0 > X1) > set @ X0 > set @ X1 > X0))).
% 86.34/12.68 thf(func_def_102, type, sK27: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > set @ X1 > X1))).
% 86.34/12.68 thf(func_def_103, type, sK28: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 86.34/12.68 thf(func_def_104, type, sK29: !>[X0: $tType]:(((X0 > $o) > X0 > X0))).
% 86.34/12.68 thf(func_def_105, type, sK30: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_106, type, sK31: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_107, type, sK32: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_108, type, sK33: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 86.34/12.68 thf(func_def_109, type, sK34: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_110, type, sK35: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > X0))).
% 86.34/12.68 thf(func_def_111, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > set @ X1 > X1))).
% 86.34/12.68 thf(func_def_112, type, sK37: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_113, type, sK38: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_114, type, sK39: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_115, type, sK40: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_116, type, sK41: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_117, type, sK42: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_118, type, sK43: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_119, type, sK44: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_120, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_121, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_122, type, sK47: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_123, type, sK48: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_124, type, sK49: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_125, type, sK50: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 86.34/12.68 thf(func_def_126, type, sK51: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_127, type, sK52: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_128, type, sK53: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_129, type, sK54: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_130, type, sK55: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_131, type, sK56: !>[X0: $tType]:(((X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_132, type, sK57: !>[X0: $tType]:((X0 > X0 > X0))).
% 86.34/12.68 thf(func_def_133, type, sK58: !>[X0: $tType]:((X0 > X0))).
% 86.34/12.68 thf(func_def_134, type, sK59: !>[X0: $tType]:((X0 > X0))).
% 86.34/12.68 thf(func_def_135, type, sK60: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_136, type, sK61: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_137, type, sK62: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_138, type, sK63: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_139, type, sK64: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_140, type, sK65: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 86.34/12.68 thf(func_def_141, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_142, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_143, type, sK68: !>[X0: $tType]:(((X0 > nat) > (X0 > $o) > X0))).
% 86.34/12.68 thf(func_def_144, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > $o) > (X1 > X0) > X1))).
% 86.34/12.68 thf(func_def_145, type, sK70: ((nat > $o) > nat)).
% 86.34/12.68 thf(func_def_146, type, sK71: ((nat > $o) > nat)).
% 86.34/12.68 thf(func_def_147, type, sK72: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_148, type, sK73: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_149, type, sK74: ((nat > nat) > nat)).
% 86.34/12.68 thf(func_def_150, type, sK75: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_151, type, sK76: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_152, type, sK77: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_153, type, sK78: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_154, type, sK79: (nat > (nat > nat) > nat)).
% 86.34/12.68 thf(func_def_156, type, sK81: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X1 > (X0 > X1) > X0))).
% 86.34/12.68 thf(f1,axiom,(
% 86.34/12.68 (number2016821345itions @ p @ n)),
% 86.34/12.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_partitions)).
% 86.34/12.68 thf(f64,axiom,(
% 86.34/12.68 (number2016821345itions = (^[X0 : (nat > nat), X1 : nat] : ((((groups1340683514dd_sum @ nat @ nat @ (^[X2 : nat] : ((times_times @ nat @ (X0 @ X2) @ X2))) @ (set_ord_atMost @ nat @ X1))) = X1) & ! [X2 : nat] : ((((X0 @ X2)) != zero_zero @ nat) => ((ord_less_eq @ nat @ X2 @ X1) & (ord_less_eq @ nat @ one_one @ nat @ X2))))))),
% 86.34/12.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_63_partitions__def)).
% 86.34/12.68 thf(f300,conjecture,(
% 86.34/12.68 (((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ n)) @ k)) = ((minus_minus @ nat @ n @ k)))),
% 86.34/12.68 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 86.34/12.68 thf(f301,negated_conjecture,(
% 86.34/12.68 ~ (((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ n)) @ k)) = ((minus_minus @ nat @ n @ k)))),
% 86.34/12.68 inference(negated_conjecture,[status(cth)],[f300])).
% 86.34/12.68 thf(f302,plain,(
% 86.34/12.68 (number2016821345itions @ p @ n)),
% 86.34/12.68 inference(rectify,[],[f1])).
% 86.34/12.68 thf(f303,plain,(
% 86.34/12.68 (((number2016821345itions @ p @ n)) = $true)),
% 86.34/12.68 inference(fool_elimination,[],[f302])).
% 86.34/12.68 thf(f406,plain,(
% 86.34/12.68 (number2016821345itions = (^[X0 : (nat > nat), X1 : nat] : ((((groups1340683514dd_sum @ nat @ nat @ (^[X2 : nat] : ((times_times @ nat @ (X0 @ X2) @ X2))) @ (set_ord_atMost @ nat @ X1))) = X1) & ! [X3 : nat] : ((zero_zero @ nat != ((X0 @ X3))) => ((ord_less_eq @ nat @ X3 @ X1) & (ord_less_eq @ nat @ one_one @ nat @ X3))))))),
% 86.34/12.68 inference(rectify,[],[f64])).
% 86.34/12.68 thf(f407,plain,(
% 86.34/12.68 (number2016821345itions = (^[Y0 : nat > nat]: ((^[Y1 : nat]: ((!! @ nat @ (^[Y2 : nat]: ((~ (zero_zero @ nat = (Y0 @ Y2))) => ((ord_less_eq @ nat @ one_one @ nat @ Y2) & (ord_less_eq @ nat @ Y2 @ Y1))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y2 : nat]: (times_times @ nat @ (Y0 @ Y2) @ Y2)) @ (set_ord_atMost @ nat @ Y1)) = Y1))))))),
% 86.34/12.68 inference(fool_elimination,[],[f406])).
% 86.34/12.68 thf(f839,plain,(
% 86.34/12.68 ~ (((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[X0 : nat] : ((times_times @ nat @ (p @ X0) @ X0))) @ (set_ord_atMost @ nat @ n)) @ k)) = ((minus_minus @ nat @ n @ k)))),
% 86.34/12.68 inference(rectify,[],[f301])).
% 86.34/12.68 thf(f840,plain,(
% 86.34/12.68 ~ (((minus_minus @ nat @ n @ k)) = ((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n)) @ k)))),
% 86.34/12.68 inference(fool_elimination,[],[f839])).
% 86.34/12.68 thf(f862,plain,(
% 86.34/12.68 (((minus_minus @ nat @ n @ k)) != ((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n)) @ k)))),
% 86.34/12.68 inference(flattening,[],[f840])).
% 86.34/12.68 thf(f1201,plain,(
% 86.34/12.68 (((number2016821345itions @ p @ n)) = $true)),
% 86.34/12.68 inference(cnf_transformation,[],[f303])).
% 86.34/12.68 thf(f1294,plain,(
% 86.34/12.68 (number2016821345itions = (^[Y0 : nat > nat]: ((^[Y1 : nat]: ((!! @ nat @ (^[Y2 : nat]: ((~ (zero_zero @ nat = (Y0 @ Y2))) => ((ord_less_eq @ nat @ one_one @ nat @ Y2) & (ord_less_eq @ nat @ Y2 @ Y1))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y2 : nat]: (times_times @ nat @ (Y0 @ Y2) @ Y2)) @ (set_ord_atMost @ nat @ Y1)) = Y1))))))),
% 86.34/12.68 inference(cnf_transformation,[],[f407])).
% 86.34/12.68 thf(f1575,plain,(
% 86.34/12.68 (((minus_minus @ nat @ n @ k)) != ((minus_minus @ nat @ (groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n)) @ k)))),
% 86.34/12.68 inference(cnf_transformation,[],[f862])).
% 86.34/12.68 thf(f1578,plain,(
% 86.34/12.68 ($true = (((^[Y0 : nat > nat]: ((^[Y1 : nat]: ((!! @ nat @ (^[Y2 : nat]: ((~ (zero_zero @ nat = (Y0 @ Y2))) => ((ord_less_eq @ nat @ one_one @ nat @ Y2) & (ord_less_eq @ nat @ Y2 @ Y1))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y2 : nat]: (times_times @ nat @ (Y0 @ Y2) @ Y2)) @ (set_ord_atMost @ nat @ Y1)) = Y1))))) @ p @ n)))),
% 86.34/12.68 inference(definition_unfolding,[],[f1201,f1294])).
% 86.34/12.68 thf(f2162,plain,(
% 86.34/12.68 ($true = (((!! @ nat @ (^[Y0 : nat]: ((~ (zero_zero @ nat = (p @ Y0))) => ((ord_less_eq @ nat @ one_one @ nat @ Y0) & (ord_less_eq @ nat @ Y0 @ n))))) & ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n)) = n))))),
% 86.34/12.68 inference(beta-eta_normalization,[],[f1578])).
% 86.34/12.68 thf(f2163,plain,(
% 86.34/12.68 ($true = (((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n)) = n)))),
% 86.34/12.68 inference(and_proxy_clausification,[],[f2162])).
% 86.34/12.68 thf(f2172,plain,(
% 86.34/12.68 (n = ((groups1340683514dd_sum @ nat @ nat @ (^[Y0 : nat]: (times_times @ nat @ (p @ Y0) @ Y0)) @ (set_ord_atMost @ nat @ n))))),
% 86.34/12.68 inference(equality_proxy_clausification,[],[f2163])).
% 86.34/12.68 thf(f146455,plain,(
% 86.34/12.68 (((minus_minus @ nat @ n @ k)) != ((minus_minus @ nat @ n @ k)))),
% 86.34/12.68 inference(constrained_superposition,[],[f1575,f2172])).
% 86.34/12.68 thf(f146571,plain,(
% 86.34/12.68 $false),
% 86.34/12.68 inference(trivial_inequality_removal,[],[f146455])).
% 86.34/12.68 % SZS output end Proof for theBenchmark
% 86.34/12.68 % (1105937)------------------------------
% 86.34/12.68 % (1105937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 86.34/12.68 % (1105937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.34/12.68 % (1105937)CaDiCaL version: 2.1.3
% 86.34/12.68 % (1105937)Termination reason: Refutation
% 86.34/12.68 % (1105937)Time elapsed: 12.357 s
% 86.34/12.68 % (1105937)Peak memory usage: 91 MB
% 86.34/12.68 % (1105937)Instructions burned: 24873 (million)
% 86.34/12.68 % (1105931)Success in time 12.437 s
% 86.34/12.68 % Vampire exiting
%------------------------------------------------------------------------------