%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : FLD056-3 : 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 : n003.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 09:49:44 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 10 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 16 ~; 15 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f23,axiom,
! [X0,X1] :
( less_or_equal(X0,X1)
| less_or_equal(X1,X0)
| ~ defined(X0)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD002-0.ax',totality_of_order_relation) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f28,negated_conjecture,
~ less_or_equal(a,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_2) ).
fof(f48,plain,
! [X0,X1] :
( defined(X1)
| ~ less_or_equal(X1,X0)
| defined(X0)
| ~ less_or_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f51,plain,
~ defined(a),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f52,plain,
less_or_equal(a,a),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f400,plain,
! [X0] :
( ~ less_or_equal(a,X0)
| ~ less_or_equal(X0,a)
| defined(X0) ),
inference(resolution,[],[f48,f51]) ).
fof(f405,plain,
( ~ less_or_equal(a,a)
| defined(a) ),
inference(factoring,[],[f400]) ).
fof(f407,definition,
( spl0_29
<=> defined(a) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f409,plain,
( defined(a)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f411,definition,
( spl0_30
<=> less_or_equal(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f413,plain,
( ~ less_or_equal(a,a)
| spl0_30 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f414,plain,
( spl0_29
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f405,f411,f407]) ).
fof(f415,plain,
( $false
| spl0_30 ),
inference(resolution,[],[f413,f52]) ).
fof(f418,plain,
spl0_30,
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f419,plain,
( $false
| ~ spl0_29 ),
inference(resolution,[],[f409,f51]) ).
fof(f420,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f419]) ).
cnf(s15,plain,
( spl0_29
| ~ spl0_30 ),
inference(sat_conversion,[],[f414]) ).
cnf(s16,plain,
spl0_30,
inference(sat_conversion,[],[f418]) ).
cnf(s17,plain,
~ spl0_29,
inference(sat_conversion,[],[f420]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s15,s16,s17]) ).
fof(f421,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD056-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 00:44:58 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
% 0.09/0.26 % (2188728)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (2188739)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2451664476:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % (2188734)% WARNING: option uhcvi not known.
% 0.09/0.26 % (2188739) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2188728-2188739"...
% 0.09/0.26 % (2188739)...printing done.
% 0.09/0.26 % (2188739)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (2188739)------------------------------
% 0.09/0.26 % (2188739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (2188739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (2188739)CaDiCaL version: 2.1.3
% 0.09/0.26 % (2188739)Termination reason: Refutation
% 0.09/0.26 % (2188739)Time elapsed: 0.004 s
% 0.09/0.26 % (2188739)Peak memory usage: 12 MB
% 0.09/0.26 % (2188739)Instructions burned: 9 (million)
% 0.09/0.26 % (2188728)Success in time 0.033 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------