%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT002-3 : 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 : 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 09:36:51 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.27s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 9 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
! [X2,X0,X1] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',associativity_of_compose) ).
fof(f21,axiom,
! [X2,X0,X1] :
( compose(a,X0) != X1
| compose(a,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( compose(b,X0) != X1
| compose(b,X2) != X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_compose2) ).
fof(f24,axiom,
compose(compose(a,b),h) = compose(compose(a,b),g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_h_equals_ab_g) ).
fof(f25,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
fof(f26,plain,
h != g,
inference(reorient_equations,[],[f25]) ).
fof(f29,plain,
! [X2,X0] :
( compose(a,X0) != compose(a,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f21]) ).
fof(f30,plain,
! [X2,X0] :
( compose(b,X0) != compose(b,X2)
| X0 = X2 ),
inference(equality_resolution,[],[f22]) ).
fof(f387,plain,
compose(compose(a,b),h) = compose(a,compose(b,g)),
inference(superposition,[],[f24,f9]) ).
fof(f391,plain,
compose(a,compose(b,g)) = compose(a,compose(b,h)),
inference(forward_demodulation,[],[f387,f9]) ).
fof(f401,plain,
! [X0] :
( compose(a,X0) != compose(a,compose(b,h))
| compose(b,g) = X0 ),
inference(superposition,[],[f29,f391]) ).
fof(f650,plain,
compose(b,g) = compose(b,h),
inference(equality_resolution,[],[f401]) ).
fof(f710,plain,
! [X0] :
( compose(b,X0) != compose(b,h)
| g = X0 ),
inference(superposition,[],[f30,f650]) ).
fof(f721,plain,
h = g,
inference(equality_resolution,[],[f710]) ).
fof(f722,plain,
$false,
inference(forward_subsumption_resolution,[],[f721,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT002-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n017.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 21:08:08 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.18/0.27 % (4032038)Will run a generic schedule for satisfiability detection.
% 0.18/0.27 % (4032045)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4175539664:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.27 % (4032044)% WARNING: option uhcvi not known.
% 0.18/0.27 % (4032043)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2581050364_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.27 % (4032044)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3156633811:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.27 % (4032048)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2208504784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.27 % (4032046)dis+10_1_sil=32000:sp=arity:random_seed=1933870562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.27 % (4032047)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4150471996:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.27 % (4032049)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1563163769:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.27 % TRYING [1]
% 0.18/0.27 % TRYING [2]
% 0.18/0.27 % (4032045) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4032038-4032045"...
% 0.18/0.27 % TRYING [3]
% 0.18/0.27 % (4032045)...printing done.
% 0.18/0.27 % (4032045)Refutation found. Thanks to Tanya!
% 0.18/0.27 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.27 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.27 % (4032045)------------------------------
% 0.18/0.27 % (4032045)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.27 % (4032045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.27 % (4032045)CaDiCaL version: 2.1.3
% 0.18/0.27 % (4032045)Termination reason: Refutation
% 0.18/0.27 % (4032045)Time elapsed: 0.009 s
% 0.18/0.27 % (4032045)Peak memory usage: 12 MB
% 0.18/0.27 % (4032045)Instructions burned: 21 (million)
% 0.18/0.27 % (4032038)Success in time 0.039 s
% 0.18/0.27 % Vampire exiting
%------------------------------------------------------------------------------