%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD030-4 : 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 : n002.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 09:49:37 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.26s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 11 unt; 2 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 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(f29,axiom,
defined(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_defined) ).
fof(f31,negated_conjecture,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_5) ).
fof(f32,negated_conjecture,
product(multiplicative_identity,a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_6) ).
fof(f33,negated_conjecture,
~ product(d,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_product_7) ).
fof(f363,definition,
( spl0_27
<=> defined(c) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f365,plain,
( ~ defined(c)
| spl0_27 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f372,plain,
( $false
| spl0_27 ),
inference(resolution,[],[f365,f29]) ).
fof(f373,plain,
spl0_27,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f418,plain,
! [X2,X0,X1] :
( ~ product(X0,X1,d)
| ~ product(X1,b,X2)
| ~ product(X0,X2,c) ),
inference(resolution,[],[f7,f33]) ).
fof(f446,plain,
! [X0] :
( ~ product(X0,c,c)
| ~ product(X0,a,d) ),
inference(resolution,[],[f418,f31]) ).
fof(f483,plain,
( ~ product(multiplicative_identity,a,d)
| ~ defined(c) ),
inference(resolution,[],[f446,f8]) ).
fof(f485,definition,
( spl0_35
<=> product(multiplicative_identity,a,d) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f487,plain,
( ~ product(multiplicative_identity,a,d)
| spl0_35 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f488,plain,
( ~ spl0_27
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f483,f485,f363]) ).
fof(f489,plain,
( $false
| spl0_35 ),
inference(resolution,[],[f487,f32]) ).
fof(f493,plain,
spl0_35,
inference(avatar_contradiction_clause,[],[f489]) ).
cnf(s39,plain,
spl0_27,
inference(sat_conversion,[],[f373]) ).
cnf(s45,plain,
( ~ spl0_27
| ~ spl0_35 ),
inference(sat_conversion,[],[f488]) ).
cnf(s46,plain,
spl0_35,
inference(sat_conversion,[],[f493]) ).
cnf(s47,plain,
~ spl0_27,
inference(rat,[],[s45,s46]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s39,s47]) ).
fof(f494,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD030-4 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n002.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 00:32:53 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.08/0.26 % (940334)Will run a generic schedule for satisfiability detection.
% 0.08/0.26 % (940345)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=873115821:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.26 % (940340)% WARNING: option uhcvi not known.
% 0.08/0.26 % (940339)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2491417720_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.26 % (940344)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3705051085:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26 % (940345) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-940334-940345"...
% 0.08/0.26 % (940341)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1806560306:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.26 % (940340)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3176134286:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.26 % (940342)dis+10_1_sil=32000:sp=arity:random_seed=745633133:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.26 % (940343)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=955319551:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.26 % (940345)...printing done.
% 0.08/0.26 % (940345)Refutation found. Thanks to Tanya!
% 0.08/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.26 % (940345)------------------------------
% 0.08/0.26 % (940345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.26 % (940345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.26 % (940345)CaDiCaL version: 2.1.3
% 0.08/0.26 % (940345)Termination reason: Refutation
% 0.08/0.26 % (940345)Time elapsed: 0.007 s
% 0.08/0.26 % (940345)Peak memory usage: 12 MB
% 0.08/0.26 % (940345)Instructions burned: 15 (million)
% 0.08/0.26 % (940334)Success in time 0.033 s
% 0.08/0.26 % Vampire exiting
%------------------------------------------------------------------------------