%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL063-1 : 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 : n017.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 2.76s 0.81s
% Output : Refutation 2.76s
% 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 ( 4 avg)
% Maximal term depth : 10 ( 2 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 : 21 ( 21 !; 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(h(X0),g(X0)),f(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_f_combinator) ).
fof(f8,plain,
! [X0,X1] : apply(apply(h(apply(apply(b,X0),X1)),g(apply(apply(b,X0),X1))),f(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(h(apply(apply(b,apply(t,X1)),X0)),g(apply(apply(b,apply(t,X1)),X0))),f(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(h(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1))),g(apply(apply(b,apply(t,X2)),apply(apply(b,X0),X1)))),f(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(h(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0))),g(apply(apply(b,apply(t,X1)),apply(apply(b,b),X0)))),f(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(f389,plain,
! [X2,X0,X1] : apply(apply(h(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1)))),g(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1))))),f(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1))))) != apply(apply(apply(X0,apply(X1,f(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1)))))),apply(X2,g(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1)))))),h(apply(apply(b,apply(t,X2)),apply(apply(b,b),apply(apply(b,X0),X1))))),
inference(superposition,[],[f374,f1]) ).
fof(f2983,plain,
! [X0,X1] : apply(apply(X0,f(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0))))),apply(apply(X1,g(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0))))),h(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0)))))) != apply(apply(h(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0)))),g(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0))))),f(apply(apply(b,apply(t,X1)),apply(apply(b,b),apply(apply(b,b),X0))))),
inference(superposition,[],[f389,f1]) ).
fof(f3004,plain,
! [X0] : apply(apply(h(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0)))),g(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0))))),f(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0))))) != apply(apply(X0,f(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0))))),apply(h(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0)))),g(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),X0)))))),
inference(superposition,[],[f2983,f2]) ).
fof(f3010,plain,
apply(apply(h(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))))) != apply(apply(h(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t)))),g(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))))),f(apply(apply(b,apply(t,t)),apply(apply(b,b),apply(apply(b,b),t))))),
inference(superposition,[],[f3004,f2]) ).
fof(f3012,plain,
$false,
inference(trivial_inequality_removal,[],[f3010]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : COL063-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.29 % Computer : n017.cluster.edu
% 0.25/0.29 % Model : x86_64 x86_64
% 0.25/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.29 % Memory : 8046.5625MB
% 0.25/0.29 % OS : Linux 6.8.0-71-generic
% 0.25/0.29 % CPULimit : 300
% 0.25/0.29 % WCLimit : 300
% 0.25/0.29 % DateTime : Mon Sep 28 21:27:47 UTC 2026
% 0.25/0.30 % CPUTime :
% 0.25/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.34 Running first-order model finding
% 0.25/0.34 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
% 2.76/0.81 % (4056490)Will run a generic schedule for satisfiability detection.
% 2.76/0.81 % (4056497)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2059644856:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.76/0.81 % (4056496)% WARNING: option uhcvi not known.
% 2.76/0.81 % (4056498)dis+10_1_sil=32000:sp=arity:random_seed=1883234686:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.76/0.81 % (4056495)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2802438869_2999 on theBenchmark for (2999ds/0Mi)
% 2.76/0.81 % (4056496)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1305849686:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.76/0.81 % (4056499)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1320974722:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.76/0.81 % (4056500)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1332403100:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.76/0.81 % (4056501)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4009504245:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.76/0.81 % TRYING [1]
% 2.76/0.81 % TRYING [2]
% 2.76/0.81 % TRYING [3]
% 2.76/0.81 % TRYING [4]
% 2.76/0.81 % (4056500)Instruction limit reached!
% 2.76/0.81 % (4056500)------------------------------
% 2.76/0.81 % (4056500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056500)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056500)Termination reason: Instruction limit
% 2.76/0.81 % (4056500)Termination phase: Saturation
% 2.76/0.81 % (4056500)Time elapsed: 0.095 s
% 2.76/0.81 % (4056500)Peak memory usage: 12 MB
% 2.76/0.81 % (4056500)Instructions burned: 132 (million)
% 2.76/0.81 % (4056498)Instruction limit reached!
% 2.76/0.81 % (4056498)------------------------------
% 2.76/0.81 % (4056498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056498)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056498)Termination reason: Instruction limit
% 2.76/0.81 % (4056498)Termination phase: Saturation
% 2.76/0.81 % (4056498)Time elapsed: 0.096 s
% 2.76/0.81 % (4056498)Peak memory usage: 12 MB
% 2.76/0.81 % (4056498)Instructions burned: 103 (million)
% 2.76/0.81 % (4056499)Instruction limit reached!
% 2.76/0.81 % (4056499)------------------------------
% 2.76/0.81 % (4056499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056499)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056499)Termination reason: Instruction limit
% 2.76/0.81 % (4056499)Termination phase: Saturation
% 2.76/0.81 % (4056499)Time elapsed: 0.117 s
% 2.76/0.81 % (4056499)Peak memory usage: 12 MB
% 2.76/0.81 % (4056499)Instructions burned: 116 (million)
% 2.76/0.81 % (4056510)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=212026252:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.76/0.81 % (4056509)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1761093164:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.76/0.81 % TRYING [1]
% 2.76/0.81 % TRYING [2]
% 2.76/0.81 % TRYING [3]
% 2.76/0.81 % TRYING [4]
% 2.76/0.81 % (4056501)Instruction limit reached!
% 2.76/0.81 % (4056501)------------------------------
% 2.76/0.81 % (4056501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056501)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056501)Termination reason: Instruction limit
% 2.76/0.81 % (4056501)Termination phase: Saturation
% 2.76/0.81 % (4056501)Time elapsed: 0.160 s
% 2.76/0.81 % (4056501)Peak memory usage: 13 MB
% 2.76/0.81 % (4056501)Instructions burned: 159 (million)
% 2.76/0.81 % (4056511)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=399117633:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.76/0.81 % (4056514)ott-21_1_sil=16000:fs=off:random_seed=4106415440:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.76/0.81 % (4056510)Instruction limit reached!
% 2.76/0.81 % (4056510)------------------------------
% 2.76/0.81 % (4056510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056510)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056510)Termination reason: Instruction limit
% 2.76/0.81 % (4056510)Termination phase: Saturation
% 2.76/0.81 % (4056510)Time elapsed: 0.129 s
% 2.76/0.81 % (4056510)Peak memory usage: 14 MB
% 2.76/0.81 % (4056510)Instructions burned: 131 (million)
% 2.76/0.81 % (4056517)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=568587272:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 2.76/0.81 % TRYING [5]
% 2.76/0.81 % (4056514)Instruction limit reached!
% 2.76/0.81 % (4056514)------------------------------
% 2.76/0.81 % (4056514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056514)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056514)Termination reason: Instruction limit
% 2.76/0.81 % (4056514)Termination phase: Saturation
% 2.76/0.81 % (4056514)Time elapsed: 0.171 s
% 2.76/0.81 % (4056514)Peak memory usage: 12 MB
% 2.76/0.81 % (4056514)Instructions burned: 180 (million)
% 2.76/0.81 % (4056497) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4056490-4056497"...
% 2.76/0.81 % (4056497)...printing done.
% 2.76/0.81 % (4056497)Refutation found. Thanks to Tanya!
% 2.76/0.81 % SZS status Unsatisfiable for theBenchmark
% 2.76/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.81 % (4056497)------------------------------
% 2.76/0.81 % (4056497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.76/0.81 % (4056497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.76/0.81 % (4056497)CaDiCaL version: 2.1.3
% 2.76/0.81 % (4056497)Termination reason: Refutation
% 2.76/0.81 % (4056497)Time elapsed: 0.420 s
% 2.76/0.81 % (4056497)Peak memory usage: 21 MB
% 2.76/0.81 % (4056497)Instructions burned: 894 (million)
% 2.76/0.81 % (4056490)Success in time 0.458 s
% 2.76/0.81 % Vampire exiting
%------------------------------------------------------------------------------