%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP702-12 : 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 : n014.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 10:18:35 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% 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 : 3 ( 2 avg)
% Maximal term depth : 5 ( 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 : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
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(f11,axiom,
! [X0] : op_d = ld(X0,mult(op_c,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f11) ).
fof(f14,negated_conjecture,
mult(x0,mult(op_d,x1)) != mult(mult(x0,op_d),x1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f47,plain,
! [X0] : mult(x0,mult(ld(X0,mult(op_c,X0)),x1)) != mult(mult(x0,ld(X0,mult(op_c,X0))),x1),
inference(superposition,[],[f14,f11]) ).
fof(f53,plain,
mult(x0,mult(op_c,x1)) != mult(mult(x0,op_c),x1),
inference(superposition,[],[f47,f2]) ).
fof(f56,plain,
$false,
inference(forward_subsumption_resolution,[],[f53,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP702-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n014.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:36:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.16/0.46 % (603187)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (603209)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1450821472:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (603209) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-603187-603209"...
% 0.16/0.46 % (603209)...printing done.
% 0.16/0.46 % (603205)% WARNING: option uhcvi not known.
% 0.16/0.46 % (603209)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (603209)------------------------------
% 0.16/0.46 % (603209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (603209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (603209)CaDiCaL version: 2.1.3
% 0.16/0.46 % (603209)Termination reason: Refutation
% 0.16/0.46 % (603209)Time elapsed: 0.001 s
% 0.16/0.46 % (603209)Peak memory usage: 11 MB
% 0.16/0.46 % (603209)Instructions burned: 3 (million)
% 0.16/0.46 % (603187)Success in time 0.031 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------