%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : COL021-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:38:11 AM UTC 2026
% Result : Unsatisfiable 0.20s 0.28s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : apply(apply(apply(b,X0),X1),X2) = apply(X0,apply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
fof(f2,axiom,
! [X0] : apply(m,X0) = apply(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).
fof(f4,negated_conjecture,
! [X0] : X0 != apply(combinator,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
fof(f5,plain,
! [X0] : apply(combinator,X0) != X0,
inference(reorient_equations,[],[f4]) ).
fof(f8,plain,
! [X0,X1] : apply(m,apply(apply(b,X0),X1)) = apply(X0,apply(X1,apply(apply(b,X0),X1))),
inference(superposition,[],[f1,f2]) ).
fof(f174,plain,
! [X0] : apply(m,apply(apply(b,combinator),X0)) != apply(X0,apply(apply(b,combinator),X0)),
inference(superposition,[],[f5,f8]) ).
fof(f199,plain,
$false,
inference(equality_resolution,[],[f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL021-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:32:10 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 0.20/0.28 % (3808630)Will run a generic schedule for satisfiability detection.
% 0.20/0.28 % (3808635)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1632653878_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28 % TRYING [1]
% 0.20/0.28 % TRYING [2]
% 0.20/0.28 % TRYING [3]
% 0.20/0.28 % TRYING [4]
% 0.20/0.28 % (3808636)% WARNING: option uhcvi not known.
% 0.20/0.28 % (3808636)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3352292056:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28 % (3808637)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3935827704:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28 % (3808638)dis+10_1_sil=32000:sp=arity:random_seed=814968261:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28 % (3808639)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1845489909:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28 % (3808641)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1734742756:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28 % (3808640)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3439194466:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28 % (3808636) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3808630-3808636"...
% 0.20/0.28 % (3808638) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3808630-3808638"...
% 0.20/0.28 % (3808636)...printing done.
% 0.20/0.28 % (3808638)...printing done.
% 0.20/0.28 % (3808639) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3808630-3808639"...
% 0.20/0.28 % (3808636)Refutation found. Thanks to Tanya!
% 0.20/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.28 % (3808636)------------------------------
% 0.20/0.28 % (3808636)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.28 % (3808636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.28 % (3808636)CaDiCaL version: 2.1.3
% 0.20/0.28 % (3808636)Termination reason: Refutation
% 0.20/0.28 % (3808636)Time elapsed: 0.009 s
% 0.20/0.28 % (3808636)Peak memory usage: 11 MB
% 0.20/0.28 % (3808636)Instructions burned: 14 (million)
% 0.20/0.28 % (3808630)Success in time 0.043 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------