%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD038-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 17 ~; 22 |; 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 : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( product(X0,X1,X2)
| ~ product(X3,X4,X0)
| ~ product(X4,X1,X5)
| ~ product(X3,X5,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',associativity_multiplication_2) ).
fof(f8,axiom,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/FLD002-0.ax',existence_of_inverse_multiplication) ).
fof(f10,axiom,
! [X2,X0,X1] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/FLD002-0.ax',commutativity_multiplication) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_defined) ).
fof(f29,negated_conjecture,
~ sum(additive_identity,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_sum_3) ).
fof(f30,negated_conjecture,
product(b,multiplicative_inverse(a),multiplicative_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_4) ).
fof(f31,negated_conjecture,
~ product(multiplicative_identity,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_5) ).
fof(f38,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X2)
| product(X3,X4,X0)
| product(X4,X1,X5)
| product(X3,X5,X2) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f39,plain,
! [X0] :
( ~ product(multiplicative_identity,X0,X0)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f40,plain,
! [X0] :
( ~ product(multiplicative_inverse(X0),X0,multiplicative_identity)
| ~ sum(additive_identity,X0,additive_identity)
| defined(X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| product(X1,X0,X2) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f57,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f58,plain,
~ defined(b),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f59,plain,
sum(additive_identity,a,additive_identity),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f60,plain,
~ product(b,multiplicative_inverse(a),multiplicative_identity),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f61,plain,
product(multiplicative_identity,a,b),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f98,plain,
! [X2,X0,X1] :
( product(X0,X1,multiplicative_identity)
| product(X1,a,X2)
| product(X0,X2,b) ),
inference(resolution,[],[f38,f61]) ).
fof(f196,plain,
! [X0] :
( product(X0,multiplicative_inverse(a),multiplicative_identity)
| product(X0,multiplicative_identity,b)
| ~ sum(additive_identity,a,additive_identity)
| defined(a) ),
inference(resolution,[],[f98,f40]) ).
fof(f204,plain,
! [X0] :
( product(X0,multiplicative_inverse(a),multiplicative_identity)
| product(X0,multiplicative_identity,b)
| defined(a) ),
inference(forward_subsumption_resolution,[],[f196,f59]) ).
fof(f207,plain,
! [X0] :
( product(X0,multiplicative_inverse(a),multiplicative_identity)
| product(X0,multiplicative_identity,b) ),
inference(forward_subsumption_resolution,[],[f204,f57]) ).
fof(f473,plain,
product(b,multiplicative_identity,b),
inference(resolution,[],[f207,f60]) ).
fof(f502,plain,
product(multiplicative_identity,b,b),
inference(resolution,[],[f473,f41]) ).
fof(f582,plain,
defined(b),
inference(resolution,[],[f502,f39]) ).
fof(f587,plain,
$false,
inference(forward_subsumption_resolution,[],[f582,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD038-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n004.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Tue Sep 29 00:33:37 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 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
% 0.21/0.30 % (948660)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (948674)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2348757457:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (948670)% WARNING: option uhcvi not known.
% 0.21/0.30 % (948669)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2386277379_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (948670)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1404675730:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (948671)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=563388945:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (948672)dis+10_1_sil=32000:sp=arity:random_seed=1980171234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (948673)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2597386090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (948675)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=998062460:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % TRYING [1]
% 0.21/0.30 % TRYING [2]
% 0.21/0.30 % TRYING [3]
% 0.21/0.30 % TRYING [4]
% 0.21/0.30 % (948670) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948660-948670"...
% 0.21/0.30 % (948672) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-948660-948672"...
% 0.21/0.30 % (948670)...printing done.
% 0.21/0.30 % (948672)...printing done.
% 0.21/0.30 % (948670)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.30 % (948670)------------------------------
% 0.21/0.30 % (948670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.30 % (948670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.30 % (948670)CaDiCaL version: 2.1.3
% 0.21/0.30 % (948670)Termination reason: Refutation
% 0.21/0.30 % (948670)Time elapsed: 0.016 s
% 0.21/0.30 % (948670)Peak memory usage: 11 MB
% 0.21/0.30 % (948670)Instructions burned: 26 (million)
% 0.21/0.30 % (948660)Success in time 0.057 s
% 0.21/0.30 % Vampire exiting
%------------------------------------------------------------------------------