%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL062-1 : 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 : n005.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 09:38:19 AM UTC 2026
% Result : Unsatisfiable 1.75s 0.54s
% Output : Refutation 1.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 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,X1] : apply(apply(t,X0),X1) = apply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
fof(f3,negated_conjecture,
! [X0] : apply(apply(apply(X0,f(X0)),g(X0)),h(X0)) != apply(apply(f(X0),h(X0)),g(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_combinator) ).
fof(f8,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,X0),X1)),h(apply(apply(b,X0),X1))),g(apply(apply(b,X0),X1))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,X0),X1)))),g(apply(apply(b,X0),X1))),h(apply(apply(b,X0),X1))),
inference(superposition,[],[f3,f1]) ).
fof(f17,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,X1)),X0)),h(apply(apply(b,apply(t,X1)),X0))),g(apply(apply(b,apply(t,X1)),X0))) != apply(apply(apply(apply(X0,f(apply(apply(b,apply(t,X1)),X0))),X1),g(apply(apply(b,apply(t,X1)),X0))),h(apply(apply(b,apply(t,X1)),X0))),
inference(superposition,[],[f8,f2]) ).
fof(f44,plain,
! [X2,X0,X1] : apply(apply(f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))) != apply(apply(apply(apply(X0,apply(X1,f(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))))),X2),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),
inference(superposition,[],[f17,f1]) ).
fof(f374,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))) != apply(apply(apply(X0,f(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),apply(X1,g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),
inference(superposition,[],[f44,f1]) ).
fof(f392,plain,
! [X0] : apply(apply(f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))) != apply(apply(apply(X0,g(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),f(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,X0)),apply(apply(b,b),t)))),
inference(superposition,[],[f374,f2]) ).
fof(f396,plain,
! [X0,X1] : apply(apply(f(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))) != apply(apply(apply(X0,apply(X1,g(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),h(apply(apply(b,apply(t,apply(apply(b,X0),X1))),apply(apply(b,b),t)))),
inference(superposition,[],[f392,f1]) ).
fof(f1771,plain,
! [X0] : apply(apply(X0,g(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),apply(f(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))))) != apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),X0))),apply(apply(b,b),t)))),
inference(superposition,[],[f396,f1]) ).
fof(f1776,plain,
apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))) != apply(apply(f(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t))),h(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),t)))),
inference(superposition,[],[f1771,f2]) ).
fof(f1778,plain,
$false,
inference(trivial_inequality_removal,[],[f1776]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL062-1 : 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 : n005.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 21:32:12 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 1.75/0.54 % (1210700)Will run a generic schedule for satisfiability detection.
% 1.75/0.54 % (1210708)dis+10_1_sil=32000:sp=arity:random_seed=2154822314:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.75/0.54 % (1210706)% WARNING: option uhcvi not known.
% 1.75/0.54 % (1210706)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3643756205:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.75/0.54 % (1210709)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1672450219:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.75/0.54 % (1210707)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=206427591:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.75/0.54 % (1210710)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1047173629:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.54 % (1210705)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=298464919_2999 on theBenchmark for (2999ds/0Mi)
% 1.75/0.54 % TRYING [1]
% 1.75/0.54 % TRYING [2]
% 1.75/0.54 % TRYING [3]
% 1.75/0.54 % (1210711)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=786092774:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.75/0.54 % TRYING [4]
% 1.75/0.54 % (1210708)Instruction limit reached!
% 1.75/0.54 % (1210708)------------------------------
% 1.75/0.54 % (1210708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210708)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210708)Termination reason: Instruction limit
% 1.75/0.54 % (1210708)Termination phase: Saturation
% 1.75/0.54 % (1210708)Time elapsed: 0.031 s
% 1.75/0.54 % (1210708)Peak memory usage: 12 MB
% 1.75/0.54 % (1210708)Instructions burned: 104 (million)
% 1.75/0.54 % (1210719)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1562376696:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.75/0.54 % TRYING [1]
% 1.75/0.54 % TRYING [2]
% 1.75/0.54 % TRYING [3]
% 1.75/0.54 % TRYING [4]
% 1.75/0.54 % (1210710)Instruction limit reached!
% 1.75/0.54 % (1210710)------------------------------
% 1.75/0.54 % (1210710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210710)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210710)Termination reason: Instruction limit
% 1.75/0.54 % (1210710)Termination phase: Saturation
% 1.75/0.54 % (1210710)Time elapsed: 0.059 s
% 1.75/0.54 % (1210710)Peak memory usage: 12 MB
% 1.75/0.54 % (1210710)Instructions burned: 135 (million)
% 1.75/0.54 % (1210709)Instruction limit reached!
% 1.75/0.54 % (1210709)------------------------------
% 1.75/0.54 % (1210709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210709)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210709)Termination reason: Instruction limit
% 1.75/0.54 % (1210709)Termination phase: Saturation
% 1.75/0.54 % (1210709)Time elapsed: 0.066 s
% 1.75/0.54 % (1210709)Peak memory usage: 12 MB
% 1.75/0.54 % (1210709)Instructions burned: 116 (million)
% 1.75/0.54 % (1210721)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3726329559:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.75/0.54 % (1210722)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=568317198:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.75/0.54 % TRYING [5]
% 1.75/0.54 % (1210711)Instruction limit reached!
% 1.75/0.54 % (1210711)------------------------------
% 1.75/0.54 % (1210711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210711)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210711)Termination reason: Instruction limit
% 1.75/0.54 % (1210711)Termination phase: Saturation
% 1.75/0.54 % (1210711)Time elapsed: 0.130 s
% 1.75/0.54 % (1210711)Peak memory usage: 13 MB
% 1.75/0.54 % (1210711)Instructions burned: 160 (million)
% 1.75/0.54 % (1210727)ott-21_1_sil=16000:fs=off:random_seed=3230256147:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.75/0.54 % (1210721)Instruction limit reached!
% 1.75/0.54 % (1210721)------------------------------
% 1.75/0.54 % (1210721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210721)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210721)Termination reason: Instruction limit
% 1.75/0.54 % (1210721)Termination phase: Saturation
% 1.75/0.54 % (1210721)Time elapsed: 0.082 s
% 1.75/0.54 % (1210721)Peak memory usage: 14 MB
% 1.75/0.54 % (1210721)Instructions burned: 134 (million)
% 1.75/0.54 % (1210729)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1360765850:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.75/0.54 % TRYING [5]
% 1.75/0.54 % (1210727)Instruction limit reached!
% 1.75/0.54 % (1210727)------------------------------
% 1.75/0.54 % (1210727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210727)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210727)Termination reason: Instruction limit
% 1.75/0.54 % (1210727)Termination phase: Saturation
% 1.75/0.54 % (1210727)Time elapsed: 0.097 s
% 1.75/0.54 % (1210727)Peak memory usage: 12 MB
% 1.75/0.54 % (1210727)Instructions burned: 180 (million)
% 1.75/0.54 % (1210707) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1210700-1210707"...
% 1.75/0.54 % (1210707)...printing done.
% 1.75/0.54 % (1210707)Refutation found. Thanks to Tanya!
% 1.75/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.75/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.54 % (1210707)------------------------------
% 1.75/0.54 % (1210707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.75/0.54 % (1210707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.75/0.54 % (1210707)CaDiCaL version: 2.1.3
% 1.75/0.54 % (1210707)Termination reason: Refutation
% 1.75/0.54 % (1210707)Time elapsed: 0.257 s
% 1.75/0.54 % (1210707)Peak memory usage: 17 MB
% 1.75/0.54 % (1210707)Instructions burned: 480 (million)
% 1.75/0.54 % (1210700)Success in time 0.292 s
% 1.75/0.54 % Vampire exiting
%------------------------------------------------------------------------------