%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 09:49:39 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.25s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 6 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 15 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_1) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_identity_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f29,negated_conjecture,
product(multiplicative_identity,m,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_3) ).
fof(f30,negated_conjecture,
~ product(m,a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ product(m,X0,X1)
| ~ product(X0,X2,a)
| ~ product(X1,X2,a) ),
inference(resolution,[],[f6,f30]) ).
fof(f232,plain,
! [X0,X1] :
( ~ product(m,X0,X0)
| ~ product(X0,X1,a) ),
inference(factoring,[],[f221]) ).
fof(f234,plain,
! [X0,X1] :
( ~ product(X0,X1,a)
| ~ product(X0,m,X0) ),
inference(resolution,[],[f232,f10]) ).
fof(f239,plain,
! [X0] : ~ product(multiplicative_identity,X0,a),
inference(resolution,[],[f234,f29]) ).
fof(f243,plain,
~ defined(a),
inference(resolution,[],[f239,f8]) ).
fof(f246,plain,
$false,
inference(resolution,[],[f243,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD034-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n001.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:38:05 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.09/0.25 % (907764)Will run a generic schedule for satisfiability detection.
% 0.09/0.25 % (907775)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=214101822:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.25 % (907775) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-907764-907775"...
% 0.09/0.25 % (907770)% WARNING: option uhcvi not known.
% 0.09/0.25 % (907775)...printing done.
% 0.09/0.25 % (907775)Refutation found. Thanks to Tanya!
% 0.09/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.25 % (907775)------------------------------
% 0.09/0.25 % (907775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.25 % (907775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.25 % (907775)CaDiCaL version: 2.1.3
% 0.09/0.25 % (907775)Termination reason: Refutation
% 0.09/0.25 % (907775)Time elapsed: 0.003 s
% 0.09/0.25 % (907775)Peak memory usage: 11 MB
% 0.09/0.25 % (907775)Instructions burned: 6 (million)
% 0.09/0.25 % (907764)Success in time 0.027 s
% 0.09/0.25 % Vampire exiting
%------------------------------------------------------------------------------