%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP665-12 : 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 : n019.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 0.14s 0.46s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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,x1),op_c) != mult(x0,mult(x1,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f44,plain,
! [X0] : ld(op_c,mult(X0,op_c)) = X0,
inference(superposition,[],[f2,f9]) ).
fof(f46,plain,
! [X0] : rd(mult(op_c,X0),op_c) = X0,
inference(superposition,[],[f4,f9]) ).
fof(f65,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(rd(mult(op_c,X1),op_c),mult(X0,op_c)),
inference(superposition,[],[f7,f9]) ).
fof(f68,plain,
! [X0,X1] : mult(op_c,mult(X1,X0)) = mult(X1,mult(X0,op_c)),
inference(forward_demodulation,[],[f65,f46]) ).
fof(f116,plain,
mult(x0,mult(x1,op_c)) != mult(mult(x0,op_c),ld(op_c,mult(x1,op_c))),
inference(superposition,[],[f10,f8]) ).
fof(f122,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(X0,op_c),ld(op_c,mult(X1,op_c))),
inference(superposition,[],[f9,f8]) ).
fof(f129,plain,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(X0,op_c),X1),
inference(forward_demodulation,[],[f122,f44]) ).
fof(f133,plain,
mult(x0,mult(x1,op_c)) != mult(mult(x0,op_c),x1),
inference(forward_demodulation,[],[f116,f44]) ).
fof(f150,plain,
mult(x0,mult(x1,op_c)) != mult(op_c,mult(x0,x1)),
inference(forward_demodulation,[],[f133,f129]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[],[f150,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:33:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.46 % (2895459)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (2895487)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1821543102:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.46 % (2895487) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2895459-2895487"...
% 0.14/0.46 % (2895483)% WARNING: option uhcvi not known.
% 0.14/0.46 % (2895487)...printing done.
% 0.14/0.46 % (2895487)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46 % (2895487)------------------------------
% 0.14/0.46 % (2895487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46 % (2895487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46 % (2895487)CaDiCaL version: 2.1.3
% 0.14/0.46 % (2895487)Termination reason: Refutation
% 0.14/0.46 % (2895487)Time elapsed: 0.006 s
% 0.14/0.46 % (2895487)Peak memory usage: 11 MB
% 0.14/0.46 % (2895487)Instructions burned: 8 (million)
% 0.14/0.46 % (2895459)Success in time 0.048 s
% 0.14/0.46 % Vampire exiting
%------------------------------------------------------------------------------