%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP704-10 : 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 : n009.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 0.24s 0.52s
% Output : Refutation 0.24s
% 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/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f8,axiom,
! [X0,X1] : mult(op_c,mult(X0,X1)) = mult(mult(op_c,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
fof(f13,axiom,
! [X0,X1] : op_f = mult(X0,mult(X1,ld(mult(X0,X1),op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f13) ).
fof(f14,negated_conjecture,
mult(op_f,mult(x4,x5)) != mult(mult(op_f,x4),x5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f129,plain,
! [X0] : op_f = mult(X0,ld(mult(unit,X0),op_c)),
inference(superposition,[],[f6,f13]) ).
fof(f133,plain,
! [X0] : op_f = mult(X0,ld(X0,op_c)),
inference(forward_demodulation,[],[f129,f6]) ).
fof(f143,plain,
op_c = op_f,
inference(forward_demodulation,[],[f133,f1]) ).
fof(f201,plain,
mult(op_c,mult(x4,x5)) != mult(mult(op_c,x4),x5),
inference(superposition,[],[f14,f143]) ).
fof(f202,plain,
$false,
inference(forward_subsumption_resolution,[],[f201,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP704-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 10:36:45 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.48 Running first-order model finding
% 0.24/0.48 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
% 0.24/0.52 % (1840662)Will run a generic schedule for satisfiability detection.
% 0.24/0.52 % (1840668)% WARNING: option uhcvi not known.
% 0.24/0.52 % (1840668)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=786086405:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.52 % (1840667)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=214445066_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.52 % TRYING [1]
% 0.24/0.52 % TRYING [2]
% 0.24/0.52 % (1840668) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1840662-1840668"...
% 0.24/0.52 % TRYING [3]
% 0.24/0.52 % (1840668)...printing done.
% 0.24/0.52 % (1840668)Refutation found. Thanks to Tanya!
% 0.24/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.52 % (1840668)------------------------------
% 0.24/0.52 % (1840668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.52 % (1840668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.52 % (1840668)CaDiCaL version: 2.1.3
% 0.24/0.52 % (1840668)Termination reason: Refutation
% 0.24/0.52 % (1840668)Time elapsed: 0.006 s
% 0.24/0.52 % (1840668)Peak memory usage: 11 MB
% 0.24/0.52 % (1840668)Instructions burned: 9 (million)
% 0.24/0.52 % (1840662)Success in time 0.031 s
% 0.24/0.52 % Vampire exiting
%------------------------------------------------------------------------------