%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP011-4 : 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 : n010.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 10:16:21 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f2,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f4,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
multiply(b,c) = multiply(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_equality) ).
fof(f6,negated_conjecture,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_left_cancellation) ).
fof(f8,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f1,f4]) ).
fof(f9,plain,
! [X0] : multiply(d,multiply(c,X0)) = multiply(multiply(b,c),X0),
inference(superposition,[],[f1,f5]) ).
fof(f12,plain,
! [X0] : multiply(d,multiply(c,X0)) = multiply(b,multiply(c,X0)),
inference(forward_demodulation,[],[f9,f1]) ).
fof(f13,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f8,f2]) ).
fof(f16,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f13,f4]) ).
fof(f26,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f13,f16]) ).
fof(f56,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f13,f26]) ).
fof(f60,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f56,f16]) ).
fof(f63,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f16,f60]) ).
fof(f72,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f4,f60]) ).
fof(f107,plain,
multiply(b,identity) = multiply(d,identity),
inference(superposition,[],[f12,f72]) ).
fof(f112,plain,
d = multiply(b,identity),
inference(forward_demodulation,[],[f107,f63]) ).
fof(f116,plain,
b = d,
inference(forward_demodulation,[],[f112,f63]) ).
fof(f117,plain,
$false,
inference(forward_subsumption_resolution,[],[f116,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:13:46 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.44 % (676168)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (676175)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2813402129:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.44 % (676175) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-676168-676175"...
% 0.10/0.44 % (676175)...printing done.
% 0.10/0.44 % (676175)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (676175)------------------------------
% 0.10/0.44 % (676175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (676175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (676175)CaDiCaL version: 2.1.3
% 0.10/0.44 % (676175)Termination reason: Refutation
% 0.10/0.44 % (676175)Time elapsed: 0.002 s
% 0.10/0.44 % (676175)Peak memory usage: 11 MB
% 0.10/0.44 % (676175)Instructions burned: 5 (million)
% 0.10/0.44 % (676168)Success in time 0.032 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------