%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP704-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 10:18:36 AM UTC 2026
% Result : Unsatisfiable 0.25s 0.57s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f06) ).
fof(f10,axiom,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(mult(X0,op_c),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f10) ).
fof(f13,axiom,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f13) ).
fof(f14,negated_conjecture,
mult(x4,mult(op_f,x5)) != mult(mult(x4,op_f),x5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f204,plain,
! [X0] : op_f = mult(X0,ld(mult(unit,X0),op_c)),
inference(superposition,[],[f6,f13]) ).
fof(f208,plain,
! [X0] : op_f = mult(X0,ld(X0,op_c)),
inference(forward_demodulation,[],[f204,f6]) ).
fof(f227,plain,
op_c = op_f,
inference(forward_demodulation,[],[f208,f1]) ).
fof(f239,plain,
mult(x4,mult(op_c,x5)) != mult(mult(x4,op_c),x5),
inference(superposition,[],[f14,f227]) ).
fof(f240,plain,
$false,
inference(forward_subsumption_resolution,[],[f239,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP704-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.45 % Computer : n020.cluster.edu
% 0.21/0.45 % Model : x86_64 x86_64
% 0.21/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.45 % Memory : 8046.5625MB
% 0.21/0.45 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 10:37:49 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.46 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.51 Running first-order model finding
% 0.25/0.51 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
% 0.25/0.57 % (3192116)Will run a generic schedule for satisfiability detection.
% 0.25/0.57 % (3192128)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=710777567:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.25/0.57 % (3192128) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3192116-3192128"...
% 0.25/0.57 % (3192128)...printing done.
% 0.25/0.57 % (3192128)Refutation found. Thanks to Tanya!
% 0.25/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.57 % (3192128)------------------------------
% 0.25/0.57 % (3192128)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3192128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3192128)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3192128)Termination reason: Refutation
% 0.25/0.57 % (3192128)Time elapsed: 0.006 s
% 0.25/0.57 % (3192128)Peak memory usage: 11 MB
% 0.25/0.57 % (3192128)Instructions burned: 9 (million)
% 0.25/0.57 % (3192116)Success in time 0.043 s
% 0.25/0.57 % Vampire exiting
%------------------------------------------------------------------------------