%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 10:18:29 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 13 unt; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f9,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
fof(f10,negated_conjecture,
mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,x1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f43,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(rd(mult(X0,op_c),op_c),mult(op_c,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f57,plain,
! [X0,X1] : mult(X0,mult(op_c,X1)) = mult(op_c,mult(X0,X1)),
inference(forward_demodulation,[],[f43,f4]) ).
fof(f79,plain,
! [X0,X1] : mult(mult(X1,op_c),X0) = mult(mult(X1,X0),ld(X0,mult(X0,op_c))),
inference(superposition,[],[f8,f9]) ).
fof(f86,plain,
! [X0,X1] : mult(mult(X1,X0),op_c) = mult(mult(X1,op_c),X0),
inference(forward_demodulation,[],[f79,f2]) ).
fof(f94,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(mult(X1,op_c),X0),
inference(forward_demodulation,[],[f86,f9]) ).
fof(f215,plain,
mult(x0,mult(op_c,x1)) != mult(op_c,mult(x0,x1)),
inference(superposition,[],[f10,f94]) ).
fof(f234,plain,
$false,
inference(forward_subsumption_resolution,[],[f215,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n010.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:33:47 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.45 Running first-order model finding
% 0.12/0.45 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
% 0.19/0.50 % (765437)Will run a generic schedule for satisfiability detection.
% 0.19/0.50 % (765445)dis+10_1_sil=32000:sp=arity:random_seed=1116359313:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.50 % (765443)% WARNING: option uhcvi not known.
% 0.19/0.50 % (765445) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-765437-765445"...
% 0.19/0.50 % (765445)...printing done.
% 0.19/0.50 % (765445)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (765445)------------------------------
% 0.19/0.50 % (765445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.50 % (765445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.50 % (765445)CaDiCaL version: 2.1.3
% 0.19/0.50 % (765445)Termination reason: Refutation
% 0.19/0.50 % (765445)Time elapsed: 0.004 s
% 0.19/0.50 % (765445)Peak memory usage: 11 MB
% 0.19/0.50 % (765445)Instructions burned: 11 (million)
% 0.19/0.50 % (765437)Success in time 0.038 s
% 0.19/0.50 % Vampire exiting
%------------------------------------------------------------------------------