%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL034-1 : 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 : n018.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 1.03s 0.45s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 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 : 18 ( 18 !; 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,
! [X0,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_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(f42,plain,
! [X0,X1] : apply(X0,apply(X1,apply(apply(b,X0),X1))) = apply(m,apply(apply(b,X0),X1)),
inference(superposition,[],[f1,f2]) ).
fof(f43,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(f53,plain,
! [X2,X0,X1] : apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1)))))) != apply(f(apply(apply(b,X2),apply(apply(b,X0),X1))),apply(X2,apply(X0,apply(X1,f(apply(apply(b,X2),apply(apply(b,X0),X1))))))),
inference(superposition,[],[f43,f1]) ).
fof(f192,plain,
! [X2,X0,X1] : apply(X1,apply(apply(X0,f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X0)))),X2)) != apply(f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X0))),apply(X1,apply(apply(X0,f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X0)))),X2))),
inference(superposition,[],[f53,f3]) ).
fof(f874,plain,
! [X0] : apply(m,apply(apply(b,f(apply(apply(b,X0),apply(apply(b,apply(t,X0)),b)))),X0)) != apply(X0,apply(apply(b,f(apply(apply(b,X0),apply(apply(b,apply(t,X0)),b)))),X0)),
inference(superposition,[],[f192,f42]) ).
fof(f895,plain,
$false,
inference(equality_resolution,[],[f874]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL034-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n018.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 21:32:25 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 1.03/0.45 % (3809236)Will run a generic schedule for satisfiability detection.
% 1.03/0.45 % (3809247)% WARNING: option uhcvi not known.
% 1.03/0.45 % (3809247)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1566607512:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.45 % (3809246)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=213369351_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.45 % (3809248)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1392457300:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.45 % (3809249)dis+10_1_sil=32000:sp=arity:random_seed=1520411501:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.45 % TRYING [1]
% 1.03/0.45 % TRYING [2]
% 1.03/0.45 % (3809250)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2837839876:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.45 % TRYING [3]
% 1.03/0.45 % TRYING [4]
% 1.03/0.45 % (3809251)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2472553122:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.45 % (3809252)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1388372051:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.45 % TRYING [5]
% 1.03/0.45 % (3809249)Instruction limit reached!
% 1.03/0.45 % (3809249)------------------------------
% 1.03/0.45 % (3809249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.45 % (3809249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.45 % (3809249)CaDiCaL version: 2.1.3
% 1.03/0.45 % (3809249)Termination reason: Instruction limit
% 1.03/0.45 % (3809249)Termination phase: Saturation
% 1.03/0.45 % (3809249)Time elapsed: 0.057 s
% 1.03/0.45 % (3809249)Peak memory usage: 12 MB
% 1.03/0.45 % (3809249)Instructions burned: 103 (million)
% 1.03/0.45 % (3809250)Instruction limit reached!
% 1.03/0.45 % (3809250)------------------------------
% 1.03/0.45 % (3809250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.45 % (3809250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.45 % (3809250)CaDiCaL version: 2.1.3
% 1.03/0.45 % (3809250)Termination reason: Instruction limit
% 1.03/0.45 % (3809250)Termination phase: Saturation
% 1.03/0.45 % (3809250)Time elapsed: 0.073 s
% 1.03/0.45 % (3809250)Peak memory usage: 12 MB
% 1.03/0.45 % (3809250)Instructions burned: 116 (million)
% 1.03/0.45 % (3809251)Instruction limit reached!
% 1.03/0.45 % (3809251)------------------------------
% 1.03/0.45 % (3809251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.45 % (3809251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.45 % (3809251)CaDiCaL version: 2.1.3
% 1.03/0.45 % (3809251)Termination reason: Instruction limit
% 1.03/0.45 % (3809251)Termination phase: Saturation
% 1.03/0.45 % (3809251)Time elapsed: 0.074 s
% 1.03/0.45 % (3809251)Peak memory usage: 13 MB
% 1.03/0.45 % (3809251)Instructions burned: 133 (million)
% 1.03/0.45 % (3809279)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4188948397:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.03/0.45 % TRYING [1]
% 1.03/0.45 % TRYING [2]
% 1.03/0.45 % TRYING [3]
% 1.03/0.45 % TRYING [4]
% 1.03/0.45 % (3809287)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3985740685:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.03/0.45 % (3809252)Instruction limit reached!
% 1.03/0.45 % (3809252)------------------------------
% 1.03/0.45 % (3809252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.45 % (3809252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.45 % (3809252)CaDiCaL version: 2.1.3
% 1.03/0.45 % (3809252)Termination reason: Instruction limit
% 1.03/0.45 % (3809252)Termination phase: Saturation
% 1.03/0.45 % (3809252)Time elapsed: 0.103 s
% 1.03/0.45 % (3809252)Peak memory usage: 13 MB
% 1.03/0.45 % (3809252)Instructions burned: 160 (million)
% 1.03/0.45 % TRYING [5]
% 1.03/0.45 % (3809291)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=1398817634:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.03/0.45 % (3809302)ott-21_1_sil=16000:fs=off:random_seed=1800954254:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.03/0.45 % TRYING [6]
% 1.03/0.45 % (3809291) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3809236-3809291"...
% 1.03/0.45 % (3809291)...printing done.
% 1.03/0.45 % (3809291)Refutation found. Thanks to Tanya!
% 1.03/0.45 % SZS status Unsatisfiable for theBenchmark
% 1.03/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.45 % (3809291)------------------------------
% 1.03/0.45 % (3809291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.45 % (3809291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.45 % (3809291)CaDiCaL version: 2.1.3
% 1.03/0.45 % (3809291)Termination reason: Refutation
% 1.03/0.45 % (3809291)Time elapsed: 0.059 s
% 1.03/0.45 % (3809291)Peak memory usage: 13 MB
% 1.03/0.45 % (3809291)Instructions burned: 95 (million)
% 1.03/0.45 % (3809236)Success in time 0.216 s
% 1.03/0.45 % Vampire exiting
%------------------------------------------------------------------------------