TSTP Solution File: SEV515+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : SEV515+1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 16:05:08 EDT 2024
% Result : Theorem 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 115 ( 4 unt; 0 def)
% Number of atoms : 597 ( 0 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 701 ( 219 ~; 348 |; 118 &)
% ( 13 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 145 ( 117 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f354,plain,
$false,
inference(avatar_sat_refutation,[],[f79,f87,f91,f100,f126,f303,f320,f345]) ).
fof(f345,plain,
( spl4_14
| ~ spl4_8
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f344,f214,f89,f211]) ).
fof(f211,plain,
( spl4_14
<=> g_both(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f89,plain,
( spl4_8
<=> ! [X2,X0] :
( g_false_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f214,plain,
( spl4_15
<=> g_true_only(sK1(sK3),sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f344,plain,
( g_both(sK1(sK3),sK3)
| ~ spl4_8
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f343,f132]) ).
fof(f132,plain,
! [X0] :
( ~ g_both(X0,X0)
| g_both(X0,sK3) ),
inference(subsumption_resolution,[],[f128,f37]) ).
fof(f37,plain,
! [X3] :
( ~ g_both(X3,X3)
| ~ g_true_only(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK2) )
| ( g_false_only(X1,X1)
& g_true_only(X1,sK2) ) )
| sP0 )
& ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f19,f21,f20]) ).
fof(f20,plain,
( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
=> ! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,sK2) )
| ( g_false_only(X1,X1)
& g_true_only(X1,sK2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
( ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) )
=> ! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,sK3) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,sK3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| sP0 )
& ? [X2] :
! [X3] :
( ( ( ~ g_both(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_false_only(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_false_only(X3,X3) )
| ~ g_both(X3,X2) )
& ( ( ~ g_true_only(X3,X3)
& ~ g_both(X3,X3) )
| ~ g_true_only(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| sP0 )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(definition_folding,[],[f12,f13]) ).
fof(f13,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f12,plain,
( ( ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
| ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) ) )
& ? [X5] :
! [X6] :
( ( ( ~ g_both(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_false_only(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_false_only(X6,X6) )
| ~ g_both(X6,X5) )
& ( ( ~ g_true_only(X6,X6)
& ~ g_both(X6,X6) )
| ~ g_true_only(X6,X5) ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X2] :
( ~ ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
& ? [X4] :
( g_both(X4,X4)
& g_both(X4,X2) ) ) )
| ! [X5] :
? [X6] :
( ( ( g_both(X6,X6)
| g_false_only(X6,X6) )
& g_false_only(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_false_only(X6,X6) )
& g_both(X6,X5) )
| ( ( g_true_only(X6,X6)
| g_both(X6,X6) )
& g_true_only(X6,X5) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ~ ? [X0] :
! [X1] :
( ( g_true_only(X1,X1)
& g_false_only(X1,X0) )
| ( g_false_only(X1,X1)
& g_true_only(X1,X0) ) )
& ? [X0] :
( ~ ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
& ? [X1] :
( g_both(X1,X1)
& g_both(X1,X0) ) ) )
| ! [X0] :
? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f128,plain,
! [X0] :
( g_both(X0,sK3)
| g_true_only(X0,sK3)
| ~ g_both(X0,X0) ),
inference(resolution,[],[f47,f42]) ).
fof(f42,plain,
! [X3] :
( ~ g_false_only(X3,sK3)
| ~ g_both(X3,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0,X1] :
( g_false_only(X0,X1)
| g_both(X0,X1)
| g_true_only(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
| g_both(X2,X3)
| g_true_only(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f343,plain,
( g_both(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| ~ spl4_8
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f342,f324]) ).
fof(f324,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ spl4_15 ),
inference(resolution,[],[f215,f38]) ).
fof(f38,plain,
! [X3] :
( ~ g_true_only(X3,sK3)
| ~ g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f215,plain,
( g_true_only(sK1(sK3),sK3)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f342,plain,
( g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| ~ spl4_8
| ~ spl4_15 ),
inference(subsumption_resolution,[],[f337,f328]) ).
fof(f328,plain,
( ~ g_false_only(sK1(sK3),sK3)
| ~ spl4_15 ),
inference(resolution,[],[f325,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ g_true(X0,X1)
| ~ g_false_only(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( g_false_only(X0,X1)
| g_true(X0,X1)
| ~ g_false(X0,X1) )
& ( ( ~ g_true(X0,X1)
& g_false(X0,X1) )
| ~ g_false_only(X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0,X1] :
( g_false_only(X0,X1)
<=> ( ~ g_true(X0,X1)
& g_false(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X3] :
( g_false_only(X2,X3)
<=> ( ~ g_true(X2,X3)
& g_false(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f325,plain,
( g_true(sK1(sK3),sK3)
| ~ spl4_15 ),
inference(resolution,[],[f215,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ g_true_only(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( g_true_only(X0,X1)
| g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( ~ g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_true_only(X0,X1) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( g_true_only(X0,X1)
<=> ( ~ g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2,X3] :
( g_true_only(X2,X3)
<=> ( ~ g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f337,plain,
( g_false_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_both(sK1(sK3),sK3)
| ~ spl4_8 ),
inference(resolution,[],[f245,f150]) ).
fof(f150,plain,
g_both(sK3,sK3),
inference(subsumption_resolution,[],[f149,f38]) ).
fof(f149,plain,
( g_true_only(sK3,sK3)
| g_both(sK3,sK3) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f144,plain,
( g_true_only(sK3,sK3)
| g_true_only(sK3,sK3)
| g_both(sK3,sK3) ),
inference(resolution,[],[f135,f131]) ).
fof(f131,plain,
! [X0] :
( ~ g_both(X0,sK3)
| g_both(X0,X0) ),
inference(subsumption_resolution,[],[f127,f40]) ).
fof(f40,plain,
! [X3] :
( ~ g_both(X3,sK3)
| ~ g_true_only(X3,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0] :
( g_both(X0,X0)
| g_true_only(X0,X0)
| ~ g_both(X0,sK3) ),
inference(resolution,[],[f47,f39]) ).
fof(f39,plain,
! [X3] :
( ~ g_false_only(X3,X3)
| ~ g_both(X3,sK3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f135,plain,
! [X0] :
( g_both(X0,X0)
| g_true_only(X0,sK3)
| g_true_only(X0,X0) ),
inference(resolution,[],[f133,f47]) ).
fof(f133,plain,
! [X0] :
( ~ g_false_only(X0,X0)
| g_true_only(X0,sK3) ),
inference(subsumption_resolution,[],[f129,f39]) ).
fof(f129,plain,
! [X0] :
( g_both(X0,sK3)
| g_true_only(X0,sK3)
| ~ g_false_only(X0,X0) ),
inference(resolution,[],[f47,f41]) ).
fof(f41,plain,
! [X3] :
( ~ g_false_only(X3,sK3)
| ~ g_false_only(X3,X3) ),
inference(cnf_transformation,[],[f22]) ).
fof(f245,plain,
( ! [X0] :
( ~ g_both(sK3,X0)
| g_false_only(sK1(X0),X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0) )
| ~ spl4_8 ),
inference(subsumption_resolution,[],[f244,f153]) ).
fof(f153,plain,
~ g_true_only(sK3,sK3),
inference(resolution,[],[f150,f40]) ).
fof(f244,plain,
( ! [X0] :
( g_false_only(sK1(X0),X0)
| ~ g_both(sK3,X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_true_only(sK3,sK3) )
| ~ spl4_8 ),
inference(duplicate_literal_removal,[],[f242]) ).
fof(f242,plain,
( ! [X0] :
( g_false_only(sK1(X0),X0)
| ~ g_both(sK3,X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_true_only(sK3,sK3)
| g_true_only(sK3,sK3) )
| ~ spl4_8 ),
inference(resolution,[],[f90,f142]) ).
fof(f142,plain,
! [X0] :
( g_true_only(X0,X0)
| g_both(X0,sK3)
| g_true_only(X0,sK3) ),
inference(resolution,[],[f135,f132]) ).
fof(f90,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK1(X0),X0)
| ~ g_both(X2,X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f320,plain,
( spl4_14
| spl4_15
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f319,f77,f214,f211]) ).
fof(f77,plain,
( spl4_5
<=> ! [X2,X0] :
( g_both(sK1(X0),sK1(X0))
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f319,plain,
( g_true_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK3)
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f318,f133]) ).
fof(f318,plain,
( g_true_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f317,f132]) ).
fof(f317,plain,
( g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f268,f153]) ).
fof(f268,plain,
( g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK3,sK3)
| ~ spl4_5 ),
inference(duplicate_literal_removal,[],[f264]) ).
fof(f264,plain,
( g_both(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK3)
| g_both(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK3,sK3)
| g_true_only(sK3,sK3)
| ~ spl4_5 ),
inference(resolution,[],[f182,f150]) ).
fof(f182,plain,
( ! [X0,X1] :
( ~ g_both(X1,X0)
| g_both(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(X1,sK3)
| g_true_only(X1,X1) )
| ~ spl4_5 ),
inference(resolution,[],[f78,f135]) ).
fof(f78,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_both(sK1(X0),sK1(X0))
| ~ g_both(X2,X0)
| g_true_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0)) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f303,plain,
( ~ spl4_7
| ~ spl4_14 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl4_7
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f293,f153]) ).
fof(f293,plain,
( g_true_only(sK3,sK3)
| ~ spl4_7
| ~ spl4_14 ),
inference(factoring,[],[f284]) ).
fof(f284,plain,
( ! [X0] :
( g_true_only(X0,sK3)
| g_true_only(X0,X0) )
| ~ spl4_7
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f283,f226]) ).
fof(f226,plain,
( ~ g_true_only(sK1(sK3),sK1(sK3))
| ~ spl4_14 ),
inference(resolution,[],[f212,f40]) ).
fof(f212,plain,
( g_both(sK1(sK3),sK3)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f283,plain,
( ! [X0] :
( g_true_only(sK1(sK3),sK1(sK3))
| g_true_only(X0,sK3)
| g_true_only(X0,X0) )
| ~ spl4_7
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f282,f261]) ).
fof(f261,plain,
( ~ g_false_only(sK1(sK3),sK1(sK3))
| ~ spl4_14 ),
inference(resolution,[],[f253,f52]) ).
fof(f253,plain,
( g_true(sK1(sK3),sK1(sK3))
| ~ spl4_14 ),
inference(resolution,[],[f225,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_true(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( g_both(X0,X1)
| ~ g_false(X0,X1)
| ~ g_true(X0,X1) )
& ( ( g_false(X0,X1)
& g_true(X0,X1) )
| ~ g_both(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( g_both(X0,X1)
<=> ( g_false(X0,X1)
& g_true(X0,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X2,X3] :
( g_both(X2,X3)
<=> ( g_false(X2,X3)
& g_true(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f225,plain,
( g_both(sK1(sK3),sK1(sK3))
| ~ spl4_14 ),
inference(resolution,[],[f212,f131]) ).
fof(f282,plain,
( ! [X0] :
( g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_true_only(X0,sK3)
| g_true_only(X0,X0) )
| ~ spl4_7
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f281,f232]) ).
fof(f232,plain,
( ~ g_true_only(sK1(sK3),sK3)
| ~ spl4_14 ),
inference(resolution,[],[f227,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ g_false(X0,X1)
| ~ g_true_only(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f227,plain,
( g_false(sK1(sK3),sK3)
| ~ spl4_14 ),
inference(resolution,[],[f212,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ g_both(X0,X1)
| g_false(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f281,plain,
( ! [X0] :
( g_true_only(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_true_only(X0,sK3)
| g_true_only(X0,X0) )
| ~ spl4_7
| ~ spl4_14 ),
inference(subsumption_resolution,[],[f279,f235]) ).
fof(f235,plain,
( ~ g_false_only(sK1(sK3),sK3)
| ~ spl4_14 ),
inference(resolution,[],[f228,f52]) ).
fof(f228,plain,
( g_true(sK1(sK3),sK3)
| ~ spl4_14 ),
inference(resolution,[],[f212,f48]) ).
fof(f279,plain,
( ! [X0] :
( g_false_only(sK1(sK3),sK3)
| g_true_only(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_true_only(X0,sK3)
| g_true_only(X0,X0) )
| ~ spl4_7 ),
inference(duplicate_literal_removal,[],[f273]) ).
fof(f273,plain,
( ! [X0] :
( g_false_only(sK1(sK3),sK3)
| g_true_only(sK1(sK3),sK3)
| g_false_only(sK1(sK3),sK1(sK3))
| g_true_only(sK1(sK3),sK1(sK3))
| g_true_only(X0,sK3)
| g_true_only(X0,X0)
| g_true_only(X0,X0)
| g_true_only(X0,sK3) )
| ~ spl4_7 ),
inference(resolution,[],[f236,f142]) ).
fof(f236,plain,
( ! [X0,X1] :
( ~ g_both(X1,X0)
| g_false_only(sK1(X0),X0)
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0))
| g_true_only(X1,sK3)
| g_true_only(X1,X1) )
| ~ spl4_7 ),
inference(resolution,[],[f86,f135]) ).
fof(f86,plain,
( ! [X2,X0] :
( ~ g_both(X2,X2)
| g_false_only(sK1(X0),X0)
| ~ g_both(X2,X0)
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl4_7
<=> ! [X2,X0] :
( g_false_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| g_true_only(sK1(X0),X0)
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f126,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f125]) ).
fof(f125,plain,
( $false
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f124,f38]) ).
fof(f124,plain,
( g_true_only(sK3,sK3)
| ~ spl4_10 ),
inference(resolution,[],[f118,f99]) ).
fof(f99,plain,
( ! [X1] :
( g_false_only(X1,X1)
| g_true_only(X1,X1) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl4_10
<=> ! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f118,plain,
( ~ g_false_only(sK3,sK3)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f115,f38]) ).
fof(f115,plain,
( g_true_only(sK3,sK3)
| ~ g_false_only(sK3,sK3)
| ~ spl4_10 ),
inference(resolution,[],[f99,f41]) ).
fof(f100,plain,
( spl4_1
| spl4_10 ),
inference(avatar_split_clause,[],[f46,f98,f62]) ).
fof(f62,plain,
( spl4_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f46,plain,
! [X1] :
( g_true_only(X1,X1)
| g_false_only(X1,X1)
| sP0 ),
inference(cnf_transformation,[],[f22]) ).
fof(f91,plain,
( ~ spl4_1
| spl4_8 ),
inference(avatar_split_clause,[],[f30,f89,f62]) ).
fof(f30,plain,
! [X2,X0] :
( g_false_only(sK1(X0),X0)
| g_both(sK1(X0),X0)
| g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0))
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ! [X0] :
( ( ( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_true_only(sK1(X0),X0) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f16,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
=> ( ( ( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_false_only(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0)) )
& g_both(sK1(X0),X0) )
| ( ( g_true_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),sK1(X0)) )
& g_true_only(sK1(X0),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
( ! [X0] :
( ? [X1] :
( ( ( g_both(X1,X1)
| g_false_only(X1,X1) )
& g_false_only(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_false_only(X1,X1) )
& g_both(X1,X0) )
| ( ( g_true_only(X1,X1)
| g_both(X1,X1) )
& g_true_only(X1,X0) ) )
| ! [X2] :
( ~ g_both(X2,X2)
| ~ g_both(X2,X0) ) )
| ~ sP0 ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
( ! [X2] :
( ? [X3] :
( ( ( g_both(X3,X3)
| g_false_only(X3,X3) )
& g_false_only(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_false_only(X3,X3) )
& g_both(X3,X2) )
| ( ( g_true_only(X3,X3)
| g_both(X3,X3) )
& g_true_only(X3,X2) ) )
| ! [X4] :
( ~ g_both(X4,X4)
| ~ g_both(X4,X2) ) )
| ~ sP0 ),
inference(nnf_transformation,[],[f13]) ).
fof(f87,plain,
( ~ spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f31,f85,f62]) ).
fof(f31,plain,
! [X2,X0] :
( g_false_only(sK1(X0),X0)
| g_true_only(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0))
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f79,plain,
( ~ spl4_1
| spl4_5 ),
inference(avatar_split_clause,[],[f33,f77,f62]) ).
fof(f33,plain,
! [X2,X0] :
( g_both(sK1(X0),sK1(X0))
| g_false_only(sK1(X0),sK1(X0))
| g_both(sK1(X0),X0)
| g_true_only(sK1(X0),X0)
| ~ g_both(X2,X2)
| ~ g_both(X2,X0)
| ~ sP0 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV515+1 : TPTP v8.2.0. Released v7.0.0.
% 0.03/0.13 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jun 21 19:08:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.22/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.22/0.36 Running first-order model finding
% 0.22/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22098)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22103)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22104)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22102)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22101)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22099)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.22/0.44 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (22100)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.22/0.44 TRYING [10]
% 0.22/0.44 % (22103)First to succeed.
% 0.22/0.44 % (22104)Also succeeded, but the first one will report.
% 0.22/0.45 TRYING [23]
% 0.22/0.45 TRYING [1]
% 0.22/0.45 % (22102)Also succeeded, but the first one will report.
% 0.22/0.45 % (22103)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22095"
% 0.22/0.45 TRYING [2]
% 0.22/0.45 % (22095)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.45 % (22103)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Theorem for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.45 % (22103)------------------------------
% 0.22/0.45 % (22103)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.45 % (22103)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.45 % (22103)Termination reason: Refutation
% 0.22/0.45
% 0.22/0.45 % (22103)Memory used [KB]: 839
% 0.22/0.45 % (22103)Time elapsed: 0.011 s
% 0.22/0.45 % (22103)Instructions burned: 12 (million)
% 0.22/0.45 % (22103)------------------------------
% 0.22/0.45 % (22103)------------------------------
% 0.22/0.45 % (22095)Success in time 0.082 s
%------------------------------------------------------------------------------