TSTP Solution File: COM023+4 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 04:48:08 EDT 2024
% Result : Theorem 0.13s 0.39s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 54
% Syntax : Number of formulae : 256 ( 15 unt; 0 def)
% Number of atoms : 1547 ( 98 equ)
% Maximal formula atoms : 40 ( 6 avg)
% Number of connectives : 1926 ( 635 ~; 665 |; 559 &)
% ( 35 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 45 ( 43 usr; 19 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-3 aty)
% Number of variables : 500 ( 370 !; 130 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f878,plain,
$false,
inference(avatar_sat_refutation,[],[f281,f290,f312,f318,f322,f327,f341,f368,f392,f396,f413,f417,f577,f582,f739,f860,f877]) ).
fof(f877,plain,
( ~ spl42_1
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f876]) ).
fof(f876,plain,
( $false
| ~ spl42_1
| ~ spl42_4 ),
inference(subsumption_resolution,[],[f866,f345]) ).
fof(f345,plain,
( ~ sP0(sK20,sK18)
| ~ spl42_4 ),
inference(resolution,[],[f155,f289]) ).
fof(f289,plain,
( sdtmndtplgtdt0(sK18,xR,sK20)
| ~ spl42_4 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f287,plain,
( spl42_4
<=> sdtmndtplgtdt0(sK18,xR,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f155,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X5,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X1,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ sP0(X5,X1) ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X5,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X1,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ sP0(X5,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f866,plain,
( sP0(sK20,sK18)
| ~ spl42_1 ),
inference(superposition,[],[f331,f276]) ).
fof(f276,plain,
( sK18 = sK19
| ~ spl42_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f274,plain,
( spl42_1
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f331,plain,
sP0(sK20,sK19),
inference(subsumption_resolution,[],[f330,f159]) ).
fof(f159,plain,
aElement0(sK20),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ~ isConfluent0(xR)
& ! [X3] :
( sP1(X3,sK20)
| sP0(X3,sK19)
| ~ aElement0(X3) )
& sdtmndtasgtdt0(sK18,xR,sK20)
& ( ( sdtmndtplgtdt0(sK18,xR,sK20)
& ( ( sdtmndtplgtdt0(sK21,xR,sK20)
& aReductOfIn0(sK21,sK18,xR)
& aElement0(sK21) )
| aReductOfIn0(sK20,sK18,xR) ) )
| sK18 = sK20 )
& sdtmndtasgtdt0(sK18,xR,sK19)
& ( ( sdtmndtplgtdt0(sK18,xR,sK19)
& ( ( sdtmndtplgtdt0(sK22,xR,sK19)
& aReductOfIn0(sK22,sK18,xR)
& aElement0(sK22) )
| aReductOfIn0(sK19,sK18,xR) ) )
| sK18 = sK19 )
& aElement0(sK20)
& aElement0(sK19)
& aElement0(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f82,f85,f84,f83]) ).
fof(f83,plain,
( ? [X0,X1,X2] :
( ! [X3] :
( sP1(X3,X2)
| sP0(X3,X1)
| ~ aElement0(X3) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,X1)
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ( ! [X3] :
( sP1(X3,sK20)
| sP0(X3,sK19)
| ~ aElement0(X3) )
& sdtmndtasgtdt0(sK18,xR,sK20)
& ( ( sdtmndtplgtdt0(sK18,xR,sK20)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,sK20)
& aReductOfIn0(X4,sK18,xR)
& aElement0(X4) )
| aReductOfIn0(sK20,sK18,xR) ) )
| sK18 = sK20 )
& sdtmndtasgtdt0(sK18,xR,sK19)
& ( ( sdtmndtplgtdt0(sK18,xR,sK19)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,sK19)
& aReductOfIn0(X5,sK18,xR)
& aElement0(X5) )
| aReductOfIn0(sK19,sK18,xR) ) )
| sK18 = sK19 )
& aElement0(sK20)
& aElement0(sK19)
& aElement0(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
( ? [X4] :
( sdtmndtplgtdt0(X4,xR,sK20)
& aReductOfIn0(X4,sK18,xR)
& aElement0(X4) )
=> ( sdtmndtplgtdt0(sK21,xR,sK20)
& aReductOfIn0(sK21,sK18,xR)
& aElement0(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X5] :
( sdtmndtplgtdt0(X5,xR,sK19)
& aReductOfIn0(X5,sK18,xR)
& aElement0(X5) )
=> ( sdtmndtplgtdt0(sK22,xR,sK19)
& aReductOfIn0(sK22,sK18,xR)
& aElement0(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( ! [X3] :
( sP1(X3,X2)
| sP0(X3,X1)
| ~ aElement0(X3) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X2)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X5] :
( sdtmndtplgtdt0(X5,xR,X1)
& aReductOfIn0(X5,X0,xR)
& aElement0(X5) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( ! [X5] :
( sP1(X5,X2)
| sP0(X5,X1)
| ~ aElement0(X5) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X1)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) ) ),
inference(definition_folding,[],[f28,f54,f53]) ).
fof(f54,plain,
! [X5,X2] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X2,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ~ sP1(X5,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f28,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( ! [X5] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X2,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X1,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ aElement0(X5) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X1)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) ) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
( ~ isConfluent0(xR)
& ? [X0,X1,X2] :
( ! [X5] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X2,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ( ~ sdtmndtasgtdt0(X1,xR,X5)
& ~ sdtmndtplgtdt0(X1,xR,X5)
& ! [X7] :
( ~ sdtmndtplgtdt0(X7,xR,X5)
| ~ aReductOfIn0(X7,X1,xR)
| ~ aElement0(X7) )
& ~ aReductOfIn0(X5,X1,xR)
& X1 != X5 )
| ~ aElement0(X5) )
& sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X1)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
~ ( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X1)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X5] :
( ( sdtmndtasgtdt0(X2,xR,X5)
| sdtmndtplgtdt0(X2,xR,X5)
| ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X2,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X2,xR)
| X2 = X5 )
& ( sdtmndtasgtdt0(X1,xR,X5)
| sdtmndtplgtdt0(X1,xR,X5)
| ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR)
| X1 = X5 )
& aElement0(X5) ) ) ),
inference(rectify,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( ( sdtmndtasgtdt0(X2,xR,X3)
| sdtmndtplgtdt0(X2,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR)
| X2 = X3 )
& ( sdtmndtasgtdt0(X1,xR,X3)
| sdtmndtplgtdt0(X1,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR)
| X1 = X3 )
& aElement0(X3) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( isConfluent0(xR)
| ! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,xR,X2)
& ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR) ) )
| X0 = X2 )
& sdtmndtasgtdt0(X0,xR,X1)
& ( ( sdtmndtplgtdt0(X0,xR,X1)
& ( ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR) ) )
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( ( sdtmndtasgtdt0(X2,xR,X3)
| sdtmndtplgtdt0(X2,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR)
| X2 = X3 )
& ( sdtmndtasgtdt0(X1,xR,X3)
| sdtmndtplgtdt0(X1,xR,X3)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR)
| X1 = X3 )
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f330,plain,
( sP0(sK20,sK19)
| ~ aElement0(sK20) ),
inference(resolution,[],[f170,f267]) ).
fof(f267,plain,
! [X1] : ~ sP1(X1,X1),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( X0 != X1
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X5,X2] :
( ( ~ sdtmndtasgtdt0(X2,xR,X5)
& ~ sdtmndtplgtdt0(X2,xR,X5)
& ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,X5)
| ~ aReductOfIn0(X6,X2,xR)
| ~ aElement0(X6) )
& ~ aReductOfIn0(X5,X2,xR)
& X2 != X5 )
| ~ sP1(X5,X2) ),
inference(nnf_transformation,[],[f54]) ).
fof(f170,plain,
! [X3] :
( sP1(X3,sK20)
| sP0(X3,sK19)
| ~ aElement0(X3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f860,plain,
( ~ spl42_2
| ~ spl42_4 ),
inference(avatar_contradiction_clause,[],[f859]) ).
fof(f859,plain,
( $false
| ~ spl42_2
| ~ spl42_4 ),
inference(subsumption_resolution,[],[f858,f159]) ).
fof(f858,plain,
( ~ aElement0(sK20)
| ~ spl42_2
| ~ spl42_4 ),
inference(subsumption_resolution,[],[f857,f353]) ).
fof(f353,plain,
( ~ sP7(sK20,sK18)
| ~ spl42_4 ),
inference(resolution,[],[f205,f289]) ).
fof(f205,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X1,X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X1)
| ~ aReductOfIn0(X4,X0,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ sP7(X1,X0) ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X1,X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X1)
| ~ aReductOfIn0(X4,X0,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ sP7(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f857,plain,
( sP7(sK20,sK18)
| ~ aElement0(sK20)
| ~ spl42_2 ),
inference(resolution,[],[f826,f478]) ).
fof(f478,plain,
~ sP9(sK19,sK20),
inference(duplicate_literal_removal,[],[f477]) ).
fof(f477,plain,
( ~ sP9(sK19,sK20)
| ~ sP9(sK19,sK20) ),
inference(resolution,[],[f471,f468]) ).
fof(f468,plain,
! [X0] :
( sP0(sK26(X0,sK20),sK19)
| ~ sP9(X0,sK20) ),
inference(subsumption_resolution,[],[f467,f192]) ).
fof(f192,plain,
! [X0,X1] :
( aElement0(sK26(X0,X1))
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtmndtasgtdt0(X0,xR,sK26(X0,X1))
& sP6(sK26(X0,X1),X0)
& sdtmndtasgtdt0(X1,xR,sK26(X0,X1))
& sP5(sK26(X0,X1),X1)
& aElement0(sK26(X0,X1)) )
| ~ sP9(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f100,f101]) ).
fof(f101,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& sP6(X2,X0)
& sdtmndtasgtdt0(X1,xR,X2)
& sP5(X2,X1)
& aElement0(X2) )
=> ( sdtmndtasgtdt0(X0,xR,sK26(X0,X1))
& sP6(sK26(X0,X1),X0)
& sdtmndtasgtdt0(X1,xR,sK26(X0,X1))
& sP5(sK26(X0,X1),X1)
& aElement0(sK26(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtasgtdt0(X0,xR,X2)
& sP6(X2,X0)
& sdtmndtasgtdt0(X1,xR,X2)
& sP5(X2,X1)
& aElement0(X2) )
| ~ sP9(X0,X1) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X2,X1] :
( ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& sP6(X5,X2)
& sdtmndtasgtdt0(X1,xR,X5)
& sP5(X5,X1)
& aElement0(X5) )
| ~ sP9(X2,X1) ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X2,X1] :
( ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& sP6(X5,X2)
& sdtmndtasgtdt0(X1,xR,X5)
& sP5(X5,X1)
& aElement0(X5) )
| ~ sP9(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f467,plain,
! [X0] :
( ~ sP9(X0,sK20)
| sP0(sK26(X0,sK20),sK19)
| ~ aElement0(sK26(X0,sK20)) ),
inference(resolution,[],[f460,f170]) ).
fof(f460,plain,
! [X0,X1] :
( ~ sP1(sK26(X0,X1),X1)
| ~ sP9(X0,X1) ),
inference(resolution,[],[f194,f151]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f194,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK26(X0,X1))
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f471,plain,
! [X0,X1] :
( ~ sP0(sK26(X0,X1),X0)
| ~ sP9(X0,X1) ),
inference(resolution,[],[f196,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f196,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK26(X0,X1))
| ~ sP9(X0,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f826,plain,
( ! [X0] :
( sP9(sK19,X0)
| sP7(X0,sK18)
| ~ aElement0(X0) )
| ~ spl42_2 ),
inference(subsumption_resolution,[],[f825,f157]) ).
fof(f157,plain,
aElement0(sK18),
inference(cnf_transformation,[],[f86]) ).
fof(f825,plain,
( ! [X0] :
( sP9(sK19,X0)
| sP7(X0,sK18)
| ~ aElement0(X0)
| ~ aElement0(sK18) )
| ~ spl42_2 ),
inference(subsumption_resolution,[],[f784,f158]) ).
fof(f158,plain,
aElement0(sK19),
inference(cnf_transformation,[],[f86]) ).
fof(f784,plain,
( ! [X0] :
( sP9(sK19,X0)
| sP7(X0,sK18)
| ~ aElement0(sK19)
| ~ aElement0(X0)
| ~ aElement0(sK18) )
| ~ spl42_2 ),
inference(resolution,[],[f215,f348]) ).
fof(f348,plain,
( ~ sP8(sK19,sK18)
| ~ spl42_2 ),
inference(resolution,[],[f200,f280]) ).
fof(f280,plain,
( sdtmndtplgtdt0(sK18,xR,sK19)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl42_2
<=> sdtmndtplgtdt0(sK18,xR,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f200,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ sP8(X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 )
| ~ sP8(X0,X1) ),
inference(rectify,[],[f103]) ).
fof(f103,plain,
! [X2,X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X2)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,xR)
& X0 != X2 )
| ~ sP8(X2,X0) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X2,X0] :
( ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X2)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,xR)
& X0 != X2 )
| ~ sP8(X2,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f215,plain,
! [X2,X0,X1] :
( sP9(X2,X1)
| sP8(X2,X0)
| sP7(X1,X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X2] :
( sP9(X2,X1)
| sP8(X2,X0)
| sP7(X1,X0)
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f32,f64,f63,f62,f61,f60]) ).
fof(f60,plain,
! [X5,X1] :
( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5
| ~ sP5(X5,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f61,plain,
! [X5,X2] :
( ( sdtmndtplgtdt0(X2,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X2,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X2,xR) ) )
| X2 = X5
| ~ sP6(X5,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X2,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X2,xR) ) )
| X2 = X5 )
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5 )
& aElement0(X5) )
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X2)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,xR)
& X0 != X2 )
| ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X1)
| ~ aReductOfIn0(X4,X0,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X2,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X2,xR) ) )
| X2 = X5 )
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5 )
& aElement0(X5) )
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ! [X3] :
( ~ sdtmndtplgtdt0(X3,xR,X2)
| ~ aReductOfIn0(X3,X0,xR)
| ~ aElement0(X3) )
& ~ aReductOfIn0(X2,X0,xR)
& X0 != X2 )
| ( ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X4] :
( ~ sdtmndtplgtdt0(X4,xR,X1)
| ~ aReductOfIn0(X4,X0,xR)
| ~ aElement0(X4) )
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ aElement0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,xR,X2)
| sdtmndtplgtdt0(X0,xR,X2)
| ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR)
| X0 = X2 )
& ( sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X4] :
( sdtmndtplgtdt0(X4,xR,X1)
& aReductOfIn0(X4,X0,xR)
& aElement0(X4) )
| aReductOfIn0(X1,X0,xR)
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X5] :
( sdtmndtasgtdt0(X2,xR,X5)
& ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( ? [X6] :
( sdtmndtplgtdt0(X6,xR,X5)
& aReductOfIn0(X6,X2,xR)
& aElement0(X6) )
| aReductOfIn0(X5,X2,xR) ) )
| X2 = X5 )
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5 )
& aElement0(X5) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,xR,X2)
| sdtmndtplgtdt0(X0,xR,X2)
| ? [X3] :
( sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X2,X0,xR)
| X0 = X2 )
& ( sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR)
& aElement0(X3) )
| aReductOfIn0(X1,X0,xR)
| X0 = X1 )
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| X2 = X3 )
& sdtmndtasgtdt0(X1,xR,X3)
& ( ( sdtmndtplgtdt0(X1,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR) ) )
| X1 = X3 )
& aElement0(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f739,plain,
( ~ spl42_17
| spl42_18
| spl42_10 ),
inference(avatar_split_clause,[],[f720,f365,f736,f732]) ).
fof(f732,plain,
( spl42_17
<=> sP5(sK31(xR),sK30(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f736,plain,
( spl42_18
<=> sK30(xR) = sK31(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_18])]) ).
fof(f365,plain,
( spl42_10
<=> sP10(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_10])]) ).
fof(f720,plain,
( sK30(xR) = sK31(xR)
| ~ sP5(sK31(xR),sK30(xR))
| spl42_10 ),
inference(subsumption_resolution,[],[f719,f366]) ).
fof(f366,plain,
( ~ sP10(xR)
| spl42_10 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f719,plain,
( sP10(xR)
| sK30(xR) = sK31(xR)
| ~ sP5(sK31(xR),sK30(xR)) ),
inference(subsumption_resolution,[],[f715,f172]) ).
fof(f172,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f715,plain,
( ~ aRewritingSystem0(xR)
| sP10(xR)
| sK30(xR) = sK31(xR)
| ~ sP5(sK31(xR),sK30(xR)) ),
inference(resolution,[],[f712,f214]) ).
fof(f214,plain,
! [X0,X1] :
( sdtmndtplgtdt0(X1,xR,X0)
| X0 = X1
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1] :
( ( sdtmndtplgtdt0(X1,xR,X0)
& ( ( sdtmndtplgtdt0(sK28(X0,X1),xR,X0)
& aReductOfIn0(sK28(X0,X1),X1,xR)
& aElement0(sK28(X0,X1)) )
| aReductOfIn0(X0,X1,xR) ) )
| X0 = X1
| ~ sP5(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f112,f113]) ).
fof(f113,plain,
! [X0,X1] :
( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X0)
& aReductOfIn0(X2,X1,xR)
& aElement0(X2) )
=> ( sdtmndtplgtdt0(sK28(X0,X1),xR,X0)
& aReductOfIn0(sK28(X0,X1),X1,xR)
& aElement0(sK28(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ( sdtmndtplgtdt0(X1,xR,X0)
& ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X0)
& aReductOfIn0(X2,X1,xR)
& aElement0(X2) )
| aReductOfIn0(X0,X1,xR) ) )
| X0 = X1
| ~ sP5(X0,X1) ),
inference(rectify,[],[f111]) ).
fof(f111,plain,
! [X5,X1] :
( ( sdtmndtplgtdt0(X1,xR,X5)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X1,xR)
& aElement0(X7) )
| aReductOfIn0(X5,X1,xR) ) )
| X1 = X5
| ~ sP5(X5,X1) ),
inference(nnf_transformation,[],[f60]) ).
fof(f712,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK30(X0),X0,sK31(X0))
| ~ aRewritingSystem0(X0)
| sP10(X0) ),
inference(subsumption_resolution,[],[f711,f222]) ).
fof(f222,plain,
! [X0] :
( aElement0(sK30(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ( sP10(X0)
| ( ! [X4] :
( ~ sdtmndtasgtdt0(sK31(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK30(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK29(X0),X0,sK31(X0))
& sdtmndtasgtdt0(sK29(X0),X0,sK30(X0))
& aElement0(sK31(X0))
& aElement0(sK30(X0))
& aElement0(sK29(X0)) ) )
& ( ! [X5,X6,X7] :
( ( sdtmndtasgtdt0(X7,X0,sK32(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK32(X0,X6,X7))
& aElement0(sK32(X0,X6,X7)) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32])],[f117,f119,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( ! [X4] :
( ~ sdtmndtasgtdt0(sK31(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK30(X0),X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(sK29(X0),X0,sK31(X0))
& sdtmndtasgtdt0(sK29(X0),X0,sK30(X0))
& aElement0(sK31(X0))
& aElement0(sK30(X0))
& aElement0(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
=> ( sdtmndtasgtdt0(X7,X0,sK32(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK32(X0,X6,X7))
& aElement0(sK32(X0,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ( sP10(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
| ~ sdtmndtasgtdt0(X5,X0,X7)
| ~ sdtmndtasgtdt0(X5,X0,X6)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ( sP10(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& sdtmndtasgtdt0(X1,X0,X3)
& sdtmndtasgtdt0(X1,X0,X2)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( sP10(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ sdtmndtasgtdt0(X1,X0,X3)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f711,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK30(X0),X0,sK31(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK30(X0))
| sP10(X0) ),
inference(subsumption_resolution,[],[f698,f223]) ).
fof(f223,plain,
! [X0] :
( aElement0(sK31(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f698,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK30(X0),X0,sK31(X0))
| ~ aElement0(sK31(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK30(X0))
| sP10(X0) ),
inference(duplicate_literal_removal,[],[f695]) ).
fof(f695,plain,
! [X0] :
( ~ sdtmndtplgtdt0(sK30(X0),X0,sK31(X0))
| ~ aElement0(sK31(X0))
| ~ aRewritingSystem0(X0)
| ~ aElement0(sK30(X0))
| sP10(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f256,f656]) ).
fof(f656,plain,
! [X0] :
( ~ sdtmndtasgtdt0(sK30(X0),X0,sK31(X0))
| sP10(X0)
| ~ aRewritingSystem0(X0) ),
inference(subsumption_resolution,[],[f655,f223]) ).
fof(f655,plain,
! [X0] :
( sP10(X0)
| ~ sdtmndtasgtdt0(sK30(X0),X0,sK31(X0))
| ~ aElement0(sK31(X0))
| ~ aRewritingSystem0(X0) ),
inference(duplicate_literal_removal,[],[f649]) ).
fof(f649,plain,
! [X0] :
( sP10(X0)
| ~ sdtmndtasgtdt0(sK30(X0),X0,sK31(X0))
| ~ aElement0(sK31(X0))
| ~ aElement0(sK31(X0))
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f226,f272]) ).
fof(f272,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1) ),
inference(duplicate_literal_removal,[],[f271]) ).
fof(f271,plain,
! [X2,X1] :
( sdtmndtasgtdt0(X2,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(equality_resolution,[],[f255]) ).
fof(f255,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| X0 != X2
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( ~ sdtmndtplgtdt0(X0,X1,X2)
& X0 != X2 ) )
& ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) )
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X2)
& aRewritingSystem0(X1)
& aElement0(X0) )
=> ( sdtmndtasgtdt0(X0,X1,X2)
<=> ( sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f226,plain,
! [X0,X4] :
( ~ sdtmndtasgtdt0(sK31(X0),X0,X4)
| sP10(X0)
| ~ sdtmndtasgtdt0(sK30(X0),X0,X4)
| ~ aElement0(X4) ),
inference(cnf_transformation,[],[f120]) ).
fof(f256,plain,
! [X2,X0,X1] :
( sdtmndtasgtdt0(X0,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f582,plain,
spl42_15,
inference(avatar_contradiction_clause,[],[f581]) ).
fof(f581,plain,
( $false
| spl42_15 ),
inference(subsumption_resolution,[],[f580,f159]) ).
fof(f580,plain,
( ~ aElement0(sK20)
| spl42_15 ),
inference(subsumption_resolution,[],[f579,f172]) ).
fof(f579,plain,
( ~ aRewritingSystem0(xR)
| ~ aElement0(sK20)
| spl42_15 ),
inference(subsumption_resolution,[],[f578,f191]) ).
fof(f191,plain,
isTerminating0(xR),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( sP4(X5,X4)
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(definition_folding,[],[f30,f58,f57,f56]) ).
fof(f56,plain,
! [X6,X4] :
( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| X4 = X6
| ~ sP2(X6,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
! [X6,X5] :
( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| X5 = X6
| ~ sP3(X6,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
! [X5,X4] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& sP3(X6,X5)
& sdtmndtasgtdt0(X4,xR,X6)
& sP2(X6,X4)
& aElement0(X6) )
| ~ sP4(X5,X4) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f30,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| X5 = X6 )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| X4 = X6 )
& aElement0(X6) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ sdtmndtplgtdt0(X2,xR,X1)
| ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X1)
| ~ aElement0(X0) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| X5 = X6 )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| X4 = X6 )
& aElement0(X6) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X5)
| ~ aElement0(X4)
| ~ aElement0(X3) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
( isTerminating0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& isLocallyConfluent0(xR)
& ! [X3,X4,X5] :
( ( aReductOfIn0(X5,X3,xR)
& aReductOfIn0(X4,X3,xR)
& aElement0(X5)
& aElement0(X4)
& aElement0(X3) )
=> ? [X6] :
( sdtmndtasgtdt0(X5,xR,X6)
& ( ( sdtmndtplgtdt0(X5,xR,X6)
& ( ? [X7] :
( sdtmndtplgtdt0(X7,xR,X6)
& aReductOfIn0(X7,X5,xR)
& aElement0(X7) )
| aReductOfIn0(X6,X5,xR) ) )
| X5 = X6 )
& sdtmndtasgtdt0(X4,xR,X6)
& ( ( sdtmndtplgtdt0(X4,xR,X6)
& ( ? [X8] :
( sdtmndtplgtdt0(X8,xR,X6)
& aReductOfIn0(X8,X4,xR)
& aElement0(X8) )
| aReductOfIn0(X6,X4,xR) ) )
| X4 = X6 )
& aElement0(X6) ) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
( isTerminating0(xR)
& ! [X0,X1] :
( ( aElement0(X1)
& aElement0(X0) )
=> ( ( sdtmndtplgtdt0(X0,xR,X1)
| ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR) )
=> iLess0(X1,X0) ) )
& isLocallyConfluent0(xR)
& ! [X0,X1,X2] :
( ( aReductOfIn0(X2,X0,xR)
& aReductOfIn0(X1,X0,xR)
& aElement0(X2)
& aElement0(X1)
& aElement0(X0) )
=> ? [X3] :
( sdtmndtasgtdt0(X2,xR,X3)
& ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| X2 = X3 )
& sdtmndtasgtdt0(X1,xR,X3)
& ( ( sdtmndtplgtdt0(X1,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X1,xR) ) )
| X1 = X3 )
& aElement0(X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f578,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| ~ aElement0(sK20)
| spl42_15 ),
inference(resolution,[],[f572,f533]) ).
fof(f533,plain,
! [X0,X1] :
( aElement0(sK39(X1,X0))
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(duplicate_literal_removal,[],[f532]) ).
fof(f532,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1)
| aElement0(sK39(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(resolution,[],[f248,f250]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| aElement0(X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| aReductOfIn0(sK40(X1,X2),X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f136,f137]) ).
fof(f137,plain,
! [X1,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X1)
=> aReductOfIn0(sK40(X1,X2),X2,X1) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X4] : ~ aReductOfIn0(X4,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(rectify,[],[f135]) ).
fof(f135,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0,X1] :
( ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2)
| ~ aElement0(X2) )
& ( ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( ~ ? [X3] : aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2)
& aElement0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f248,plain,
! [X0,X1] :
( aNormalFormOfIn0(sK39(X0,X1),X1,X0)
| ~ aElement0(X1)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( aNormalFormOfIn0(sK39(X0,X1),X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f40,f132]) ).
fof(f132,plain,
! [X0,X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
=> aNormalFormOfIn0(sK39(X0,X1),X1,X0) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ? [X2] : aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) )
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ( isTerminating0(X0)
& aRewritingSystem0(X0) )
=> ! [X1] :
( aElement0(X1)
=> ? [X2] : aNormalFormOfIn0(X2,X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermNF) ).
fof(f572,plain,
( ~ aElement0(sK39(xR,sK20))
| spl42_15 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl42_15
<=> aElement0(sK39(xR,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_15])]) ).
fof(f577,plain,
( ~ spl42_15
| spl42_16 ),
inference(avatar_split_clause,[],[f568,f574,f570]) ).
fof(f574,plain,
( spl42_16
<=> sP0(sK39(xR,sK20),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f568,plain,
( sP0(sK39(xR,sK20),sK19)
| ~ aElement0(sK39(xR,sK20)) ),
inference(subsumption_resolution,[],[f567,f159]) ).
fof(f567,plain,
( ~ aElement0(sK20)
| sP0(sK39(xR,sK20),sK19)
| ~ aElement0(sK39(xR,sK20)) ),
inference(resolution,[],[f551,f170]) ).
fof(f551,plain,
! [X0] :
( ~ sP1(sK39(xR,X0),X0)
| ~ aElement0(X0) ),
inference(subsumption_resolution,[],[f550,f191]) ).
fof(f550,plain,
! [X0] :
( ~ aElement0(X0)
| ~ isTerminating0(xR)
| ~ sP1(sK39(xR,X0),X0) ),
inference(subsumption_resolution,[],[f543,f172]) ).
fof(f543,plain,
! [X0] :
( ~ aRewritingSystem0(xR)
| ~ aElement0(X0)
| ~ isTerminating0(xR)
| ~ sP1(sK39(xR,X0),X0) ),
inference(resolution,[],[f535,f151]) ).
fof(f535,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,X1,sK39(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ isTerminating0(X1) ),
inference(duplicate_literal_removal,[],[f534]) ).
fof(f534,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,X1,sK39(X1,X0))
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ~ aElement0(X0)
| ~ isTerminating0(X1)
| ~ aRewritingSystem0(X1) ),
inference(resolution,[],[f251,f248]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X2,X0,X1)
| sdtmndtasgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f417,plain,
spl42_14,
inference(avatar_contradiction_clause,[],[f416]) ).
fof(f416,plain,
( $false
| spl42_14 ),
inference(subsumption_resolution,[],[f415,f172]) ).
fof(f415,plain,
( ~ aRewritingSystem0(xR)
| spl42_14 ),
inference(subsumption_resolution,[],[f414,f191]) ).
fof(f414,plain,
( ~ isTerminating0(xR)
| ~ aRewritingSystem0(xR)
| spl42_14 ),
inference(resolution,[],[f411,f296]) ).
fof(f296,plain,
! [X0] :
( sP14(X0)
| ~ isTerminating0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f240,f247]) ).
fof(f247,plain,
! [X0] :
( sP15(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( sP15(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f38,f73,f72]) ).
fof(f72,plain,
! [X0] :
( sP14(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f73,plain,
! [X0] :
( ( isTerminating0(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( isTerminating0(X0)
<=> ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isTerminating0(X0)
<=> ! [X1,X2] :
( ( aElement0(X2)
& aElement0(X1) )
=> ( sdtmndtplgtdt0(X1,X0,X2)
=> iLess0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTermin) ).
fof(f240,plain,
! [X0] :
( ~ sP15(X0)
| ~ isTerminating0(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ( ( isTerminating0(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ isTerminating0(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f73]) ).
fof(f411,plain,
( ~ sP14(xR)
| spl42_14 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f410,plain,
( spl42_14
<=> sP14(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_14])]) ).
fof(f413,plain,
( ~ spl42_13
| spl42_14 ),
inference(avatar_split_clause,[],[f401,f410,f406]) ).
fof(f406,plain,
( spl42_13
<=> sP7(sK38(xR),sK37(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).
fof(f401,plain,
( sP14(xR)
| ~ sP7(sK38(xR),sK37(xR)) ),
inference(resolution,[],[f245,f205]) ).
fof(f245,plain,
! [X0] :
( sdtmndtplgtdt0(sK37(X0),X0,sK38(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ( sP14(X0)
| ( ~ iLess0(sK38(X0),sK37(X0))
& sdtmndtplgtdt0(sK37(X0),X0,sK38(X0))
& aElement0(sK38(X0))
& aElement0(sK37(X0)) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37,sK38])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) )
=> ( ~ iLess0(sK38(X0),sK37(X0))
& sdtmndtplgtdt0(sK37(X0),X0,sK38(X0))
& aElement0(sK38(X0))
& aElement0(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ( sP14(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X3,X4] :
( iLess0(X4,X3)
| ~ sdtmndtplgtdt0(X3,X0,X4)
| ~ aElement0(X4)
| ~ aElement0(X3) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ( sP14(X0)
| ? [X1,X2] :
( ~ iLess0(X2,X1)
& sdtmndtplgtdt0(X1,X0,X2)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2] :
( iLess0(X2,X1)
| ~ sdtmndtplgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f396,plain,
spl42_12,
inference(avatar_contradiction_clause,[],[f395]) ).
fof(f395,plain,
( $false
| spl42_12 ),
inference(subsumption_resolution,[],[f394,f172]) ).
fof(f394,plain,
( ~ aRewritingSystem0(xR)
| spl42_12 ),
inference(subsumption_resolution,[],[f393,f187]) ).
fof(f187,plain,
isLocallyConfluent0(xR),
inference(cnf_transformation,[],[f59]) ).
fof(f393,plain,
( ~ isLocallyConfluent0(xR)
| ~ aRewritingSystem0(xR)
| spl42_12 ),
inference(resolution,[],[f390,f295]) ).
fof(f295,plain,
! [X0] :
( sP12(X0)
| ~ isLocallyConfluent0(X0)
| ~ aRewritingSystem0(X0) ),
inference(resolution,[],[f228,f239]) ).
fof(f239,plain,
! [X0] :
( sP13(X0)
| ~ aRewritingSystem0(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( sP13(X0)
| ~ aRewritingSystem0(X0) ),
inference(definition_folding,[],[f36,f70,f69]) ).
fof(f69,plain,
! [X0] :
( sP12(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f70,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) ) )
| ~ aRewritingSystem0(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( aRewritingSystem0(X0)
=> ( isLocallyConfluent0(X0)
<=> ! [X1,X2,X3] :
( ( aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mWCRDef) ).
fof(f228,plain,
! [X0] :
( ~ sP13(X0)
| ~ isLocallyConfluent0(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ( ( isLocallyConfluent0(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ isLocallyConfluent0(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f70]) ).
fof(f390,plain,
( ~ sP12(xR)
| spl42_12 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl42_12
<=> sP12(xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_12])]) ).
fof(f392,plain,
( ~ spl42_11
| spl42_12 ),
inference(avatar_split_clause,[],[f380,f389,f385]) ).
fof(f385,plain,
( spl42_11
<=> sP7(sK34(xR),sK33(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f380,plain,
( sP12(xR)
| ~ sP7(sK34(xR),sK33(xR)) ),
inference(resolution,[],[f236,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,X1,xR)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f236,plain,
! [X0] :
( aReductOfIn0(sK34(X0),sK33(X0),X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ( sP12(X0)
| ( ! [X4] :
( ~ sdtmndtasgtdt0(sK35(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK34(X0),X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(sK35(X0),sK33(X0),X0)
& aReductOfIn0(sK34(X0),sK33(X0),X0)
& aElement0(sK35(X0))
& aElement0(sK34(X0))
& aElement0(sK33(X0)) ) )
& ( ! [X5,X6,X7] :
( ( sdtmndtasgtdt0(X7,X0,sK36(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK36(X0,X6,X7))
& aElement0(sK36(X0,X6,X7)) )
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34,sK35,sK36])],[f123,f125,f124]) ).
fof(f124,plain,
! [X0] :
( ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) )
=> ( ! [X4] :
( ~ sdtmndtasgtdt0(sK35(X0),X0,X4)
| ~ sdtmndtasgtdt0(sK34(X0),X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(sK35(X0),sK33(X0),X0)
& aReductOfIn0(sK34(X0),sK33(X0),X0)
& aElement0(sK35(X0))
& aElement0(sK34(X0))
& aElement0(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
=> ( sdtmndtasgtdt0(X7,X0,sK36(X0,X6,X7))
& sdtmndtasgtdt0(X6,X0,sK36(X0,X6,X7))
& aElement0(sK36(X0,X6,X7)) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X0] :
( ( sP12(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X5,X6,X7] :
( ? [X8] :
( sdtmndtasgtdt0(X7,X0,X8)
& sdtmndtasgtdt0(X6,X0,X8)
& aElement0(X8) )
| ~ aReductOfIn0(X7,X5,X0)
| ~ aReductOfIn0(X6,X5,X0)
| ~ aElement0(X7)
| ~ aElement0(X6)
| ~ aElement0(X5) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ( sP12(X0)
| ? [X1,X2,X3] :
( ! [X4] :
( ~ sdtmndtasgtdt0(X3,X0,X4)
| ~ sdtmndtasgtdt0(X2,X0,X4)
| ~ aElement0(X4) )
& aReductOfIn0(X3,X1,X0)
& aReductOfIn0(X2,X1,X0)
& aElement0(X3)
& aElement0(X2)
& aElement0(X1) ) )
& ( ! [X1,X2,X3] :
( ? [X4] :
( sdtmndtasgtdt0(X3,X0,X4)
& sdtmndtasgtdt0(X2,X0,X4)
& aElement0(X4) )
| ~ aReductOfIn0(X3,X1,X0)
| ~ aReductOfIn0(X2,X1,X0)
| ~ aElement0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f368,plain,
( ~ spl42_9
| spl42_10 ),
inference(avatar_split_clause,[],[f356,f365,f361]) ).
fof(f361,plain,
( spl42_9
<=> sP7(sK30(xR),sK29(xR)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).
fof(f356,plain,
( sP10(xR)
| ~ sP7(sK30(xR),sK29(xR)) ),
inference(resolution,[],[f224,f206]) ).
fof(f206,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f106]) ).
fof(f224,plain,
! [X0] :
( sdtmndtasgtdt0(sK29(X0),X0,sK30(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f341,plain,
( spl42_7
| spl42_8
| spl42_3 ),
inference(avatar_split_clause,[],[f332,f283,f338,f334]) ).
fof(f334,plain,
( spl42_7
<=> aReductOfIn0(sK20,sK18,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).
fof(f338,plain,
( spl42_8
<=> aElement0(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f283,plain,
( spl42_3
<=> sK18 = sK20 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_3])]) ).
fof(f332,plain,
( aElement0(sK21)
| aReductOfIn0(sK20,sK18,xR)
| spl42_3 ),
inference(subsumption_resolution,[],[f165,f284]) ).
fof(f284,plain,
( sK18 != sK20
| spl42_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f165,plain,
( aElement0(sK21)
| aReductOfIn0(sK20,sK18,xR)
| sK18 = sK20 ),
inference(cnf_transformation,[],[f86]) ).
fof(f327,plain,
( ~ spl42_1
| ~ spl42_3 ),
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f326,plain,
( $false
| ~ spl42_1
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f325,f268]) ).
fof(f268,plain,
! [X1] : ~ sP0(X1,X1),
inference(equality_resolution,[],[f152]) ).
fof(f152,plain,
! [X0,X1] :
( X0 != X1
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f325,plain,
( sP0(sK18,sK18)
| ~ spl42_1
| ~ spl42_3 ),
inference(superposition,[],[f302,f276]) ).
fof(f302,plain,
( sP0(sK18,sK19)
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f301,f157]) ).
fof(f301,plain,
( sP0(sK18,sK19)
| ~ aElement0(sK18)
| ~ spl42_3 ),
inference(resolution,[],[f298,f267]) ).
fof(f298,plain,
( ! [X3] :
( sP1(X3,sK18)
| sP0(X3,sK19)
| ~ aElement0(X3) )
| ~ spl42_3 ),
inference(forward_demodulation,[],[f170,f285]) ).
fof(f285,plain,
( sK18 = sK20
| ~ spl42_3 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f322,plain,
( ~ spl42_2
| ~ spl42_3 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f320,f158]) ).
fof(f320,plain,
( ~ aElement0(sK19)
| ~ spl42_2
| ~ spl42_3 ),
inference(subsumption_resolution,[],[f319,f268]) ).
fof(f319,plain,
( sP0(sK19,sK19)
| ~ aElement0(sK19)
| ~ spl42_2
| ~ spl42_3 ),
inference(resolution,[],[f314,f298]) ).
fof(f314,plain,
( ~ sP1(sK19,sK18)
| ~ spl42_2 ),
inference(resolution,[],[f150,f280]) ).
fof(f150,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f318,plain,
( ~ spl42_3
| ~ spl42_5 ),
inference(avatar_contradiction_clause,[],[f317]) ).
fof(f317,plain,
( $false
| ~ spl42_3
| ~ spl42_5 ),
inference(subsumption_resolution,[],[f316,f158]) ).
fof(f316,plain,
( ~ aElement0(sK19)
| ~ spl42_3
| ~ spl42_5 ),
inference(subsumption_resolution,[],[f315,f268]) ).
fof(f315,plain,
( sP0(sK19,sK19)
| ~ aElement0(sK19)
| ~ spl42_3
| ~ spl42_5 ),
inference(resolution,[],[f313,f298]) ).
fof(f313,plain,
( ~ sP1(sK19,sK18)
| ~ spl42_5 ),
inference(resolution,[],[f148,f307]) ).
fof(f307,plain,
( aReductOfIn0(sK19,sK18,xR)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f305,plain,
( spl42_5
<=> aReductOfIn0(sK19,sK18,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f148,plain,
! [X0,X1] :
( ~ aReductOfIn0(X0,X1,xR)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f312,plain,
( spl42_5
| spl42_6
| spl42_1 ),
inference(avatar_split_clause,[],[f303,f274,f309,f305]) ).
fof(f309,plain,
( spl42_6
<=> aElement0(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f303,plain,
( aElement0(sK22)
| aReductOfIn0(sK19,sK18,xR)
| spl42_1 ),
inference(subsumption_resolution,[],[f160,f275]) ).
fof(f275,plain,
( sK18 != sK19
| spl42_1 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f160,plain,
( aElement0(sK22)
| aReductOfIn0(sK19,sK18,xR)
| sK18 = sK19 ),
inference(cnf_transformation,[],[f86]) ).
fof(f290,plain,
( spl42_3
| spl42_4 ),
inference(avatar_split_clause,[],[f168,f287,f283]) ).
fof(f168,plain,
( sdtmndtplgtdt0(sK18,xR,sK20)
| sK18 = sK20 ),
inference(cnf_transformation,[],[f86]) ).
fof(f281,plain,
( spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f163,f278,f274]) ).
fof(f163,plain,
( sdtmndtplgtdt0(sK18,xR,sK19)
| sK18 = sK19 ),
inference(cnf_transformation,[],[f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : COM023+4 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n020.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 May 3 21:27:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (17151)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (17154)WARNING: value z3 for option sas not known
% 0.13/0.36 % (17158)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.13/0.36 % (17153)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.36 % (17157)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.13/0.36 % (17156)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_531 on theBenchmark for (531ds/0Mi)
% 0.13/0.36 % (17155)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.36 % (17154)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (17152)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38 TRYING [1]
% 0.13/0.38 TRYING [2]
% 0.13/0.38 TRYING [3]
% 0.13/0.39 % (17154)First to succeed.
% 0.13/0.39 % (17154)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17151"
% 0.13/0.39 % (17154)Refutation found. Thanks to Tanya!
% 0.13/0.39 % SZS status Theorem for theBenchmark
% 0.13/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.39 % (17154)------------------------------
% 0.13/0.39 % (17154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.39 % (17154)Termination reason: Refutation
% 0.13/0.39
% 0.13/0.39 % (17154)Memory used [KB]: 1303
% 0.13/0.39 % (17154)Time elapsed: 0.028 s
% 0.13/0.39 % (17154)Instructions burned: 53 (million)
% 0.13/0.39 % (17151)Success in time 0.045 s
%------------------------------------------------------------------------------