%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL038-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 : Tue Sep 29 09:38:13 AM UTC 2026
% Result : Unsatisfiable 2.69s 0.65s
% Output : Refutation 2.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 11 unt; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_definition) ).
fof(f3,axiom,
! [X2,X0,X1] : apply(apply(apply(v,X0),X1),X2) = apply(apply(X2,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_definition) ).
fof(f4,negated_conjecture,
! [X0] : apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f6,plain,
! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
inference(superposition,[],[f1,f2]) ).
fof(f7,plain,
! [X0,X1] : apply(X0,apply(X1,f(apply(apply(b,X0),X1)))) != apply(f(apply(apply(b,X0),X1)),apply(X0,apply(X1,f(apply(apply(b,X0),X1))))),
inference(superposition,[],[f4,f1]) ).
fof(f11,plain,
! [X2,X0,X1] : apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2))))) != apply(f(apply(apply(b,apply(apply(b,X0),X1)),X2)),apply(X0,apply(X1,apply(X2,f(apply(apply(b,apply(apply(b,X0),X1)),X2)))))),
inference(superposition,[],[f7,f1]) ).
fof(f279,plain,
! [X2,X3,X0,X1] : apply(X1,apply(apply(apply(X0,f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X3))),X0))),X2),X3)) != apply(f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X3))),X0)),apply(X1,apply(apply(apply(X0,f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X3))),X0))),X2),X3))),
inference(superposition,[],[f11,f3]) ).
fof(f4169,plain,
! [X2,X0,X1] : apply(X1,apply(apply(X0,f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X0))),v))),X2)) != apply(f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X0))),v)),apply(X1,apply(apply(X0,f(apply(apply(b,apply(apply(b,X1),apply(apply(v,X2),X0))),v))),X2))),
inference(superposition,[],[f279,f3]) ).
fof(f4230,plain,
! [X0] : apply(m,apply(apply(b,f(apply(apply(b,apply(apply(b,X0),apply(apply(v,X0),b))),v))),X0)) != apply(X0,apply(apply(b,f(apply(apply(b,apply(apply(b,X0),apply(apply(v,X0),b))),v))),X0)),
inference(superposition,[],[f4169,f6]) ).
fof(f4245,plain,
$false,
inference(equality_resolution,[],[f4230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL038-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.20 % Computer : n016.cluster.edu
% 0.12/0.20 % Model : x86_64 x86_64
% 0.12/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.20 % Memory : 8046.5625MB
% 0.12/0.20 % OS : Linux 6.8.0-71-generic
% 0.12/0.20 % CPULimit : 300
% 0.12/0.20 % WCLimit : 300
% 0.12/0.20 % DateTime : Mon Sep 28 21:35:19 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.23 Running first-order model finding
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.69/0.65 % (4047260)Will run a generic schedule for satisfiability detection.
% 2.69/0.65 % (4047281)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1576275559:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.69/0.65 % (4047276)% WARNING: option uhcvi not known.
% 2.69/0.65 % (4047275)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=58011936_2999 on theBenchmark for (2999ds/0Mi)
% 2.69/0.65 % (4047278)dis+10_1_sil=32000:sp=arity:random_seed=434472283:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.69/0.65 % (4047276)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3887637626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.69/0.65 % (4047277)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3114179115:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.69/0.65 % (4047279)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2449524965:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.69/0.65 % (4047280)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2288588160:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.69/0.65 % TRYING [1]
% 2.69/0.65 % TRYING [2]
% 2.69/0.65 % TRYING [3]
% 2.69/0.65 % TRYING [4]
% 2.69/0.65 % (4047281)Instruction limit reached!
% 2.69/0.65 % (4047281)------------------------------
% 2.69/0.65 % (4047281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047281)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047281)Termination reason: Instruction limit
% 2.69/0.65 % (4047281)Termination phase: Saturation
% 2.69/0.65 % (4047281)Time elapsed: 0.052 s
% 2.69/0.65 % (4047281)Peak memory usage: 15 MB
% 2.69/0.65 % (4047281)Instructions burned: 160 (million)
% 2.69/0.65 % (4047308)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=766953922:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.69/0.65 % TRYING [1]
% 2.69/0.65 % TRYING [2]
% 2.69/0.65 % TRYING [3]
% 2.69/0.65 % TRYING [4]
% 2.69/0.65 % (4047278)Instruction limit reached!
% 2.69/0.65 % (4047278)------------------------------
% 2.69/0.65 % (4047278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047278)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047278)Termination reason: Instruction limit
% 2.69/0.65 % (4047278)Termination phase: Saturation
% 2.69/0.65 % (4047278)Time elapsed: 0.060 s
% 2.69/0.65 % (4047278)Peak memory usage: 12 MB
% 2.69/0.65 % (4047278)Instructions burned: 104 (million)
% 2.69/0.65 % TRYING [5]
% 2.69/0.65 % (4047279)Instruction limit reached!
% 2.69/0.65 % (4047279)------------------------------
% 2.69/0.65 % (4047279)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047279)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047279)Termination reason: Instruction limit
% 2.69/0.65 % (4047279)Termination phase: Saturation
% 2.69/0.65 % (4047279)Time elapsed: 0.072 s
% 2.69/0.65 % (4047279)Peak memory usage: 13 MB
% 2.69/0.65 % (4047279)Instructions burned: 117 (million)
% 2.69/0.65 % (4047280)Instruction limit reached!
% 2.69/0.65 % (4047280)------------------------------
% 2.69/0.65 % (4047280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047280)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047280)Termination reason: Instruction limit
% 2.69/0.65 % (4047280)Termination phase: Saturation
% 2.69/0.65 % (4047280)Time elapsed: 0.074 s
% 2.69/0.65 % (4047280)Peak memory usage: 13 MB
% 2.69/0.65 % (4047280)Instructions burned: 132 (million)
% 2.69/0.65 % (4047314)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=490163504:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.69/0.65 % TRYING [5]
% 2.69/0.65 % (4047318)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=454302524:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.69/0.65 % (4047319)ott-21_1_sil=16000:fs=off:random_seed=1793646938:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.69/0.65 % (4047314)Instruction limit reached!
% 2.69/0.65 % (4047314)------------------------------
% 2.69/0.65 % (4047314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047314)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047314)Termination reason: Instruction limit
% 2.69/0.65 % (4047314)Termination phase: Saturation
% 2.69/0.65 % (4047314)Time elapsed: 0.085 s
% 2.69/0.65 % (4047314)Peak memory usage: 14 MB
% 2.69/0.65 % (4047314)Instructions burned: 131 (million)
% 2.69/0.65 % (4047351)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3814349299:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.69/0.65 % (4047319)Instruction limit reached!
% 2.69/0.65 % (4047319)------------------------------
% 2.69/0.65 % (4047319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047319)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047319)Termination reason: Instruction limit
% 2.69/0.65 % (4047319)Termination phase: Saturation
% 2.69/0.65 % (4047319)Time elapsed: 0.097 s
% 2.69/0.65 % (4047319)Peak memory usage: 12 MB
% 2.69/0.65 % (4047319)Instructions burned: 181 (million)
% 2.69/0.65 % (4047359)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2691928419:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.69/0.65 % TRYING [1]
% 2.69/0.65 % TRYING [2]
% 2.69/0.65 % TRYING [3]
% 2.69/0.65 % TRYING [4]
% 2.69/0.65 % TRYING [6]
% 2.69/0.65 % TRYING [5]
% 2.69/0.65 % (4047308)Instruction limit reached!
% 2.69/0.65 % (4047308)------------------------------
% 2.69/0.65 % (4047308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047308)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047308)Termination reason: Instruction limit
% 2.69/0.65 % (4047308)Termination phase: Finite model building SAT solving
% 2.69/0.65 % (4047308)Time elapsed: 0.220 s
% 2.69/0.65 % (4047308)Peak memory usage: 18 MB
% 2.69/0.65 % (4047308)Instructions burned: 716 (million)
% 2.69/0.65 % (4047384)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=671103411:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.69/0.65 % (4047318) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4047260-4047318"...
% 2.69/0.65 % (4047318)...printing done.
% 2.69/0.65 % (4047318)Refutation found. Thanks to Tanya!
% 2.69/0.65 % SZS status Unsatisfiable for theBenchmark
% 2.69/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.69/0.65 % (4047318)------------------------------
% 2.69/0.65 % (4047318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.69/0.65 % (4047318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.69/0.65 % (4047318)CaDiCaL version: 2.1.3
% 2.69/0.65 % (4047318)Termination reason: Refutation
% 2.69/0.65 % (4047318)Time elapsed: 0.268 s
% 2.69/0.65 % (4047318)Peak memory usage: 18 MB
% 2.69/0.65 % (4047318)Instructions burned: 487 (million)
% 2.69/0.65 % (4047260)Success in time 0.41 s
% 2.69/0.65 % Vampire exiting
%------------------------------------------------------------------------------