%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD031-3 : 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 : n011.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 09:49:38 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 19 ( 9 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 17 ( 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X5,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| product(X0,X1,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(f9,axiom,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ product(X1,X0,X2)
| product(X0,X1,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(f28,negated_conjecture,
product(multiplicative_identity,a,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product_2) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
~ product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_product_4) ).
fof(f34,plain,
product(a,multiplicative_identity,multiplicative_identity),
inference(resolution,[],[f10,f28]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ product(X1,a,X2)
| ~ product(X0,X1,multiplicative_identity)
| product(X0,X2,multiplicative_identity) ),
inference(resolution,[],[f6,f28]) ).
fof(f140,plain,
! [X0] :
( ~ product(X0,multiplicative_identity,multiplicative_identity)
| product(X0,a,multiplicative_identity)
| ~ defined(a) ),
inference(resolution,[],[f134,f8]) ).
fof(f143,plain,
! [X0] :
( ~ product(X0,multiplicative_identity,multiplicative_identity)
| product(X0,a,multiplicative_identity) ),
inference(forward_subsumption_resolution,[],[f140,f27]) ).
fof(f155,plain,
product(a,a,multiplicative_identity),
inference(resolution,[],[f143,f34]) ).
fof(f172,plain,
! [X0] :
( ~ product(X0,a,multiplicative_identity)
| product(X0,multiplicative_identity,multiplicative_identity) ),
inference(resolution,[],[f155,f134]) ).
fof(f333,plain,
( product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)
| sum(additive_identity,a,additive_identity)
| ~ defined(a) ),
inference(resolution,[],[f172,f9]) ).
fof(f338,plain,
( product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity)
| ~ defined(a) ),
inference(forward_subsumption_resolution,[],[f333,f29]) ).
fof(f339,plain,
product(multiplicative_inverse(a),multiplicative_identity,multiplicative_identity),
inference(forward_subsumption_resolution,[],[f338,f27]) ).
fof(f396,plain,
product(multiplicative_identity,multiplicative_inverse(a),multiplicative_identity),
inference(resolution,[],[f339,f10]) ).
fof(f397,plain,
$false,
inference(forward_subsumption_resolution,[],[f396,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD031-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n011.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Sep 29 00:30:31 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20 Running first-order model finding
% 0.06/0.20 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
% 0.06/0.25 % (3949736)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (3949743)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2105956014:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.25 % (3949742)% WARNING: option uhcvi not known.
% 0.06/0.25 % (3949741)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=150970524_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.25 % (3949742)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4117079649:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (3949747)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1078594058:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.25 % (3949744)dis+10_1_sil=32000:sp=arity:random_seed=2460029149:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.25 % (3949746)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2832840379:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.25 % TRYING [1]
% 0.06/0.25 % TRYING [2]
% 0.06/0.25 % TRYING [3]
% 0.06/0.25 % (3949745)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3532362112:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.25 % (3949744) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3949736-3949744"...
% 0.06/0.25 % TRYING [4]
% 0.06/0.25 % (3949744)...printing done.
% 0.06/0.25 % (3949744)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.26 % (3949744)------------------------------
% 0.06/0.26 % (3949744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.26 % (3949744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.26 % (3949744)CaDiCaL version: 2.1.3
% 0.06/0.26 % (3949744)Termination reason: Refutation
% 0.06/0.26 % (3949744)Time elapsed: 0.008 s
% 0.06/0.26 % (3949744)Peak memory usage: 11 MB
% 0.06/0.26 % (3949744)Instructions burned: 10 (million)
% 0.06/0.26 % (3949736)Success in time 0.041 s
% 0.06/0.26 % Vampire exiting
%------------------------------------------------------------------------------