TSTP Solution File: COM020+4 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 15:53:48 EDT 2022
% Result : Theorem 3.46s 1.01s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 41
% Syntax : Number of formulae : 219 ( 20 unt; 0 def)
% Number of atoms : 1299 ( 100 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 1613 ( 533 ~; 597 |; 434 &)
% ( 21 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 18 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 301 ( 226 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4665,plain,
$false,
inference(avatar_sat_refutation,[],[f343,f380,f385,f421,f446,f478,f493,f654,f3589,f3593,f3853,f3871,f3876,f3880,f4028,f4427,f4599,f4664]) ).
fof(f4664,plain,
( ~ spl35_7
| ~ spl35_21
| spl35_114
| ~ spl35_140 ),
inference(avatar_contradiction_clause,[],[f4663]) ).
fof(f4663,plain,
( $false
| ~ spl35_7
| ~ spl35_21
| spl35_114
| ~ spl35_140 ),
inference(subsumption_resolution,[],[f4662,f729]) ).
fof(f729,plain,
( iLess0(xb,xa)
| ~ spl35_7
| ~ spl35_21 ),
inference(subsumption_resolution,[],[f728,f157]) ).
fof(f157,plain,
aElement0(xa),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( aElement0(xb)
& aElement0(xa)
& aElement0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__731) ).
fof(f728,plain,
( iLess0(xb,xa)
| ~ aElement0(xa)
| ~ spl35_7
| ~ spl35_21 ),
inference(subsumption_resolution,[],[f704,f328]) ).
fof(f328,plain,
( aElement0(xb)
| ~ spl35_7 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f327,plain,
( spl35_7
<=> aElement0(xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_7])]) ).
fof(f704,plain,
( ~ aElement0(xb)
| iLess0(xb,xa)
| ~ aElement0(xa)
| ~ spl35_21 ),
inference(resolution,[],[f275,f393]) ).
fof(f393,plain,
( aReductOfIn0(xb,xa,xR)
| ~ spl35_21 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl35_21
<=> aReductOfIn0(xb,xa,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_21])]) ).
fof(f275,plain,
! [X6,X5] :
( ~ aReductOfIn0(X6,X5,xR)
| ~ aElement0(X6)
| iLess0(X6,X5)
| ~ aElement0(X5) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
( ! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ aReductOfIn0(X0,X1,xR)
| ( aElement0(sK32(X0,X2))
& sdtmndtasgtdt0(X2,xR,sK32(X0,X2))
& sdtmndtasgtdt0(X0,xR,sK32(X0,X2))
& ( sK32(X0,X2) = X0
| ( ( aReductOfIn0(sK32(X0,X2),X0,xR)
| ( aReductOfIn0(sK33(X0,X2),X0,xR)
& aElement0(sK33(X0,X2))
& sdtmndtplgtdt0(sK33(X0,X2),xR,sK32(X0,X2)) ) )
& sdtmndtplgtdt0(X0,xR,sK32(X0,X2)) ) )
& sP8(X2,sK32(X0,X2)) )
| ~ aElement0(X0)
| ~ aElement0(X1) )
& isLocallyConfluent0(xR)
& ! [X5,X6] :
( iLess0(X6,X5)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(X7,xR,X6) )
& ~ aReductOfIn0(X6,X5,xR) ) )
& isTerminating0(xR) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33])],[f144,f146,f145]) ).
fof(f145,plain,
! [X0,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X0,xR,X3)
& ( X0 = X3
| ( ( aReductOfIn0(X3,X0,xR)
| ? [X4] :
( aReductOfIn0(X4,X0,xR)
& aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X0,xR,X3) ) )
& sP8(X2,X3) )
=> ( aElement0(sK32(X0,X2))
& sdtmndtasgtdt0(X2,xR,sK32(X0,X2))
& sdtmndtasgtdt0(X0,xR,sK32(X0,X2))
& ( sK32(X0,X2) = X0
| ( ( aReductOfIn0(sK32(X0,X2),X0,xR)
| ? [X4] :
( aReductOfIn0(X4,X0,xR)
& aElement0(X4)
& sdtmndtplgtdt0(X4,xR,sK32(X0,X2)) ) )
& sdtmndtplgtdt0(X0,xR,sK32(X0,X2)) ) )
& sP8(X2,sK32(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0,X2] :
( ? [X4] :
( aReductOfIn0(X4,X0,xR)
& aElement0(X4)
& sdtmndtplgtdt0(X4,xR,sK32(X0,X2)) )
=> ( aReductOfIn0(sK33(X0,X2),X0,xR)
& aElement0(sK33(X0,X2))
& sdtmndtplgtdt0(sK33(X0,X2),xR,sK32(X0,X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ! [X0,X1,X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ aElement0(X2)
| ~ aReductOfIn0(X0,X1,xR)
| ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X2,xR,X3)
& sdtmndtasgtdt0(X0,xR,X3)
& ( X0 = X3
| ( ( aReductOfIn0(X3,X0,xR)
| ? [X4] :
( aReductOfIn0(X4,X0,xR)
& aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3) ) )
& sdtmndtplgtdt0(X0,xR,X3) ) )
& sP8(X2,X3) )
| ~ aElement0(X0)
| ~ aElement0(X1) )
& isLocallyConfluent0(xR)
& ! [X5,X6] :
( iLess0(X6,X5)
| ~ aElement0(X6)
| ~ aElement0(X5)
| ( ~ sdtmndtplgtdt0(X5,xR,X6)
& ! [X7] :
( ~ aReductOfIn0(X7,X5,xR)
| ~ aElement0(X7)
| ~ sdtmndtplgtdt0(X7,xR,X6) )
& ~ aReductOfIn0(X6,X5,xR) ) )
& isTerminating0(xR) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
( ! [X4,X3,X5] :
( ~ aReductOfIn0(X5,X3,xR)
| ~ aElement0(X5)
| ~ aReductOfIn0(X4,X3,xR)
| ? [X6] :
( aElement0(X6)
& sdtmndtasgtdt0(X5,xR,X6)
& sdtmndtasgtdt0(X4,xR,X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X8] :
( aReductOfIn0(X8,X4,xR)
& aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& sP8(X5,X6) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
& isLocallyConfluent0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ aReductOfIn0(X1,X0,xR) ) )
& isTerminating0(xR) ),
inference(definition_folding,[],[f68,f83]) ).
fof(f83,plain,
! [X5,X6] :
( ( ( ? [X7] :
( aReductOfIn0(X7,X5,xR)
& aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X6) )
| aReductOfIn0(X6,X5,xR) )
& sdtmndtplgtdt0(X5,xR,X6) )
| X5 = X6
| ~ sP8(X5,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f68,plain,
( ! [X4,X3,X5] :
( ~ aReductOfIn0(X5,X3,xR)
| ~ aElement0(X5)
| ~ aReductOfIn0(X4,X3,xR)
| ? [X6] :
( aElement0(X6)
& sdtmndtasgtdt0(X5,xR,X6)
& sdtmndtasgtdt0(X4,xR,X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X8] :
( aReductOfIn0(X8,X4,xR)
& aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& ( ( ( ? [X7] :
( aReductOfIn0(X7,X5,xR)
& aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X6) )
| aReductOfIn0(X6,X5,xR) )
& sdtmndtplgtdt0(X5,xR,X6) )
| X5 = X6 ) )
| ~ aElement0(X4)
| ~ aElement0(X3) )
& isLocallyConfluent0(xR)
& ! [X0,X1] :
( iLess0(X1,X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ aReductOfIn0(X1,X0,xR) ) )
& isTerminating0(xR) ),
inference(flattening,[],[f67]) ).
fof(f67,plain,
( ! [X3,X4,X5] :
( ? [X6] :
( aElement0(X6)
& sdtmndtasgtdt0(X5,xR,X6)
& sdtmndtasgtdt0(X4,xR,X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X8] :
( aReductOfIn0(X8,X4,xR)
& aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& ( ( ( ? [X7] :
( aReductOfIn0(X7,X5,xR)
& aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X6) )
| aReductOfIn0(X6,X5,xR) )
& sdtmndtplgtdt0(X5,xR,X6) )
| X5 = X6 ) )
| ~ aReductOfIn0(X5,X3,xR)
| ~ aElement0(X5)
| ~ aReductOfIn0(X4,X3,xR)
| ~ aElement0(X4)
| ~ aElement0(X3) )
& ! [X1,X0] :
( iLess0(X1,X0)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X2] :
( ~ aReductOfIn0(X2,X0,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X1) )
& ~ aReductOfIn0(X1,X0,xR) )
| ~ aElement0(X0)
| ~ aElement0(X1) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
( ! [X3,X4,X5] :
( ( aReductOfIn0(X5,X3,xR)
& aElement0(X5)
& aReductOfIn0(X4,X3,xR)
& aElement0(X4)
& aElement0(X3) )
=> ? [X6] :
( aElement0(X6)
& sdtmndtasgtdt0(X5,xR,X6)
& sdtmndtasgtdt0(X4,xR,X6)
& ( X4 = X6
| ( ( aReductOfIn0(X6,X4,xR)
| ? [X8] :
( aReductOfIn0(X8,X4,xR)
& aElement0(X8)
& sdtmndtplgtdt0(X8,xR,X6) ) )
& sdtmndtplgtdt0(X4,xR,X6) ) )
& ( ( ( ? [X7] :
( aReductOfIn0(X7,X5,xR)
& aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X6) )
| aReductOfIn0(X6,X5,xR) )
& sdtmndtplgtdt0(X5,xR,X6) )
| X5 = X6 ) ) )
& ! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR)
| sdtmndtplgtdt0(X0,xR,X1) )
=> iLess0(X1,X0) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
( isLocallyConfluent0(xR)
& isTerminating0(xR)
& ! [X1,X0] :
( ( aElement0(X0)
& aElement0(X1) )
=> ( ( ? [X2] :
( sdtmndtplgtdt0(X2,xR,X1)
& aReductOfIn0(X2,X0,xR)
& aElement0(X2) )
| aReductOfIn0(X1,X0,xR)
| sdtmndtplgtdt0(X0,xR,X1) )
=> iLess0(X1,X0) ) )
& ! [X0,X1,X2] :
( ( aElement0(X2)
& aReductOfIn0(X2,X0,xR)
& aReductOfIn0(X1,X0,xR)
& aElement0(X0)
& aElement0(X1) )
=> ? [X3] :
( ( ( sdtmndtplgtdt0(X2,xR,X3)
& ( ? [X4] :
( sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR)
& aElement0(X4) )
| aReductOfIn0(X3,X2,xR) ) )
| X2 = X3 )
& aElement0(X3)
& ( X1 = X3
| ( sdtmndtplgtdt0(X1,xR,X3)
& ( aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) ) ) ) )
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656_01) ).
fof(f4662,plain,
( ~ iLess0(xb,xa)
| spl35_114
| ~ spl35_140 ),
inference(forward_demodulation,[],[f2764,f3208]) ).
fof(f3208,plain,
( xb = xw
| ~ spl35_140 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f3206,plain,
( spl35_140
<=> xb = xw ),
introduced(avatar_definition,[new_symbols(naming,[spl35_140])]) ).
fof(f2764,plain,
( ~ iLess0(xw,xa)
| spl35_114 ),
inference(avatar_component_clause,[],[f2762]) ).
fof(f2762,plain,
( spl35_114
<=> iLess0(xw,xa) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_114])]) ).
fof(f4599,plain,
( ~ spl35_145
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(avatar_split_clause,[],[f4419,f443,f418,f377,f3863]) ).
fof(f3863,plain,
( spl35_145
<=> aReductOfIn0(sK28,xb,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_145])]) ).
fof(f377,plain,
( spl35_18
<=> aElement0(sK28) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_18])]) ).
fof(f418,plain,
( spl35_27
<=> sdtmndtplgtdt0(sK28,xR,xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_27])]) ).
fof(f443,plain,
( spl35_32
<=> sdtmndtplgtdt0(xw,xR,xd) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_32])]) ).
fof(f4419,plain,
( ~ aReductOfIn0(sK28,xb,xR)
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f4418,f294]) ).
fof(f294,plain,
~ sP2(xd),
inference(equality_resolution,[],[f184]) ).
fof(f184,plain,
! [X0] :
( xd != X0
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ aReductOfIn0(X0,xd,xR)
& ~ sdtmndtasgtdt0(xd,xR,X0)
& xd != X0
& ! [X1] :
( ~ aReductOfIn0(X1,xd,xR)
| ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,xR,X0) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ( ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ aReductOfIn0(X0,xd,xR)
& ~ sdtmndtasgtdt0(xd,xR,X0)
& xd != X0
& ! [X2] :
( ~ aReductOfIn0(X2,xd,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ( ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ aReductOfIn0(X0,xd,xR)
& ~ sdtmndtasgtdt0(xd,xR,X0)
& xd != X0
& ! [X2] :
( ~ aReductOfIn0(X2,xd,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f4418,plain,
( sP2(xd)
| ~ aReductOfIn0(sK28,xb,xR)
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f4417,f262]) ).
fof(f262,plain,
aElement0(xd),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( sdtmndtasgtdt0(xw,xR,xd)
& ! [X0] : ~ aReductOfIn0(X0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ( sdtmndtplgtdt0(sK30,xR,xd)
& aElement0(sK30)
& aReductOfIn0(sK30,xw,xR) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f49,f138]) ).
fof(f138,plain,
( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aElement0(X1)
& aReductOfIn0(X1,xw,xR) )
=> ( sdtmndtplgtdt0(sK30,xR,xd)
& aElement0(sK30)
& aReductOfIn0(sK30,xw,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
( sdtmndtasgtdt0(xw,xR,xd)
& ! [X0] : ~ aReductOfIn0(X0,xd,xR)
& aNormalFormOfIn0(xd,xw,xR)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aElement0(X1)
& aReductOfIn0(X1,xw,xR) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& aElement0(xd) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
( aNormalFormOfIn0(xd,xw,xR)
& aElement0(xd)
& ( ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X1] :
( sdtmndtplgtdt0(X1,xR,xd)
& aElement0(X1)
& aReductOfIn0(X1,xw,xR) )
| aReductOfIn0(xd,xw,xR) ) )
| xw = xd )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X0] : aReductOfIn0(X0,xd,xR) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
( ~ ? [X0] : aReductOfIn0(X0,xd,xR)
& ( xw = xd
| ( sdtmndtplgtdt0(xw,xR,xd)
& ( ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xd)
& aReductOfIn0(X0,xw,xR) )
| aReductOfIn0(xd,xw,xR) ) ) )
& aNormalFormOfIn0(xd,xw,xR)
& sdtmndtasgtdt0(xw,xR,xd)
& aElement0(xd) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f4417,plain,
( ~ aElement0(xd)
| ~ aReductOfIn0(sK28,xb,xR)
| sP2(xd)
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f4394,f379]) ).
fof(f379,plain,
( aElement0(sK28)
| ~ spl35_18 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f4394,plain,
( ~ aElement0(sK28)
| ~ aReductOfIn0(sK28,xb,xR)
| sP2(xd)
| ~ aElement0(xd)
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(resolution,[],[f3548,f189]) ).
fof(f189,plain,
! [X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X0)
| sP2(X0)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aReductOfIn0(X1,xb,xR) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( xb != X0
& ~ aReductOfIn0(X0,xb,xR)
& ~ sdtmndtasgtdt0(xb,xR,X0)
& ! [X1] :
( ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xb,xR) )
& ~ sdtmndtplgtdt0(xb,xR,X0) )
| ~ aElement0(X0)
| sP2(X0) ),
inference(definition_folding,[],[f52,f74]) ).
fof(f52,plain,
! [X0] :
( ( xb != X0
& ~ aReductOfIn0(X0,xb,xR)
& ~ sdtmndtasgtdt0(xb,xR,X0)
& ! [X1] :
( ~ aElement0(X1)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aReductOfIn0(X1,xb,xR) )
& ~ sdtmndtplgtdt0(xb,xR,X0) )
| ~ aElement0(X0)
| ( ~ sdtmndtplgtdt0(xd,xR,X0)
& ~ aReductOfIn0(X0,xd,xR)
& ~ sdtmndtasgtdt0(xd,xR,X0)
& xd != X0
& ! [X2] :
( ~ aReductOfIn0(X2,xd,xR)
| ~ aElement0(X2)
| ~ sdtmndtplgtdt0(X2,xR,X0) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
~ ? [X0] :
( ( xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X2] :
( aReductOfIn0(X2,xd,xR)
& sdtmndtplgtdt0(X2,xR,X0)
& aElement0(X2) )
| sdtmndtasgtdt0(xd,xR,X0)
| sdtmndtplgtdt0(xd,xR,X0) )
& ( xb = X0
| sdtmndtasgtdt0(xb,xR,X0)
| sdtmndtplgtdt0(xb,xR,X0)
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aReductOfIn0(X1,xb,xR)
& aElement0(X1)
& sdtmndtplgtdt0(X1,xR,X0) ) )
& aElement0(X0) ),
inference(rectify,[],[f25]) ).
fof(f25,negated_conjecture,
~ ? [X0] :
( ( xb = X0
| sdtmndtasgtdt0(xb,xR,X0)
| sdtmndtplgtdt0(xb,xR,X0)
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aReductOfIn0(X1,xb,xR)
& aElement0(X1)
& sdtmndtplgtdt0(X1,xR,X0) ) )
& ( sdtmndtasgtdt0(xd,xR,X0)
| xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X1] :
( aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,X0)
& aElement0(X1) )
| sdtmndtplgtdt0(xd,xR,X0) )
& aElement0(X0) ),
inference(negated_conjecture,[],[f24]) ).
fof(f24,conjecture,
? [X0] :
( ( xb = X0
| sdtmndtasgtdt0(xb,xR,X0)
| sdtmndtplgtdt0(xb,xR,X0)
| aReductOfIn0(X0,xb,xR)
| ? [X1] :
( aReductOfIn0(X1,xb,xR)
& aElement0(X1)
& sdtmndtplgtdt0(X1,xR,X0) ) )
& ( sdtmndtasgtdt0(xd,xR,X0)
| xd = X0
| aReductOfIn0(X0,xd,xR)
| ? [X1] :
( aReductOfIn0(X1,xd,xR)
& sdtmndtplgtdt0(X1,xR,X0)
& aElement0(X1) )
| sdtmndtplgtdt0(xd,xR,X0) )
& aElement0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f3548,plain,
( sdtmndtplgtdt0(sK28,xR,xd)
| ~ spl35_18
| ~ spl35_27
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f3538,f379]) ).
fof(f3538,plain,
( ~ aElement0(sK28)
| sdtmndtplgtdt0(sK28,xR,xd)
| ~ spl35_27
| ~ spl35_32 ),
inference(resolution,[],[f2823,f420]) ).
fof(f420,plain,
( sdtmndtplgtdt0(sK28,xR,xw)
| ~ spl35_27 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f2823,plain,
( ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,xw)
| ~ aElement0(X6)
| sdtmndtplgtdt0(X6,xR,xd) )
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f2822,f154]) ).
fof(f154,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f2822,plain,
( ! [X6] :
( sdtmndtplgtdt0(X6,xR,xd)
| ~ sdtmndtplgtdt0(X6,xR,xw)
| ~ aRewritingSystem0(xR)
| ~ aElement0(X6) )
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f2821,f262]) ).
fof(f2821,plain,
( ! [X6] :
( ~ aElement0(xd)
| ~ aElement0(X6)
| sdtmndtplgtdt0(X6,xR,xd)
| ~ sdtmndtplgtdt0(X6,xR,xw)
| ~ aRewritingSystem0(xR) )
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f2817,f248]) ).
fof(f248,plain,
aElement0(xw),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
( sdtmndtasgtdt0(xu,xR,xw)
& ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( ( aElement0(sK27)
& aReductOfIn0(sK27,xv,xR)
& sdtmndtplgtdt0(sK27,xR,xw) )
| aReductOfIn0(xw,xv,xR) ) )
| xv = xw )
& ( ( ( aReductOfIn0(xw,xu,xR)
| ( aElement0(sK28)
& aReductOfIn0(sK28,xu,xR)
& sdtmndtplgtdt0(sK28,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) )
| xu = xw )
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f129,f131,f130]) ).
fof(f130,plain,
( ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xv,xR)
& sdtmndtplgtdt0(X0,xR,xw) )
=> ( aElement0(sK27)
& aReductOfIn0(sK27,xv,xR)
& sdtmndtplgtdt0(sK27,xR,xw) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xw) )
=> ( aElement0(sK28)
& aReductOfIn0(sK28,xu,xR)
& sdtmndtplgtdt0(sK28,xR,xw) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
( sdtmndtasgtdt0(xu,xR,xw)
& ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xv,xR)
& sdtmndtplgtdt0(X0,xR,xw) )
| aReductOfIn0(xw,xv,xR) ) )
| xv = xw )
& ( ( ( aReductOfIn0(xw,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) )
| xu = xw )
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
( sdtmndtasgtdt0(xu,xR,xw)
& ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xw) )
| aReductOfIn0(xw,xv,xR) ) )
| xv = xw )
& ( ( ( aReductOfIn0(xw,xu,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xu,xR)
& sdtmndtplgtdt0(X0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) )
| xu = xw )
& aElement0(xw)
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
( ( ( ( aReductOfIn0(xw,xu,xR)
| ? [X0] :
( aElement0(X0)
& aReductOfIn0(X0,xu,xR)
& sdtmndtplgtdt0(X0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) )
| xu = xw )
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw)
& ( ( sdtmndtplgtdt0(xv,xR,xw)
& ( ? [X0] :
( aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xw)
& aReductOfIn0(X0,xv,xR) )
| aReductOfIn0(xw,xv,xR) ) )
| xv = xw )
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f2817,plain,
( ! [X6] :
( ~ sdtmndtplgtdt0(X6,xR,xw)
| ~ aElement0(xw)
| ~ aRewritingSystem0(xR)
| sdtmndtplgtdt0(X6,xR,xd)
| ~ aElement0(xd)
| ~ aElement0(X6) )
| ~ spl35_32 ),
inference(resolution,[],[f445,f155]) ).
fof(f155,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X0,X1,X3)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X1)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ~ aElement0(X0)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X1,X2)
| ~ sdtmndtplgtdt0(X0,X1,X3)
| sdtmndtplgtdt0(X0,X1,X2)
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f62]) ).
fof(f62,plain,
! [X0,X2,X1,X3] :
( ~ aElement0(X0)
| ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X0,X2,X3)
| sdtmndtplgtdt0(X0,X2,X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(flattening,[],[f61]) ).
fof(f61,plain,
! [X0,X2,X3,X1] :
( sdtmndtplgtdt0(X0,X2,X1)
| ~ sdtmndtplgtdt0(X3,X2,X1)
| ~ sdtmndtplgtdt0(X0,X2,X3)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1)
| ~ aElement0(X0)
| ~ aElement0(X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X2,X3,X1] :
( ( aRewritingSystem0(X2)
& aElement0(X1)
& aElement0(X0)
& aElement0(X3) )
=> ( ( sdtmndtplgtdt0(X3,X2,X1)
& sdtmndtplgtdt0(X0,X2,X3) )
=> sdtmndtplgtdt0(X0,X2,X1) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3,X1,X2] :
( ( aRewritingSystem0(X1)
& aElement0(X3)
& aElement0(X0)
& aElement0(X2) )
=> ( ( sdtmndtplgtdt0(X2,X1,X3)
& sdtmndtplgtdt0(X0,X1,X2) )
=> sdtmndtplgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCTrans) ).
fof(f445,plain,
( sdtmndtplgtdt0(xw,xR,xd)
| ~ spl35_32 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f4427,plain,
( ~ spl35_114
| spl35_113 ),
inference(avatar_split_clause,[],[f4426,f2759,f2762]) ).
fof(f2759,plain,
( spl35_113
<=> ! [X0] :
( ~ aElement0(X0)
| sP7(X0,xw)
| sP6(xd,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_113])]) ).
fof(f4426,plain,
! [X0] :
( ~ aElement0(X0)
| ~ iLess0(xw,xa)
| sP6(xd,X0)
| sP7(X0,xw) ),
inference(subsumption_resolution,[],[f4425,f248]) ).
fof(f4425,plain,
! [X0] :
( ~ iLess0(xw,xa)
| ~ aElement0(X0)
| ~ aElement0(xw)
| sP6(xd,X0)
| sP7(X0,xw) ),
inference(subsumption_resolution,[],[f4087,f262]) ).
fof(f4087,plain,
! [X0] :
( ~ iLess0(xw,xa)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ aElement0(X0)
| sP7(X0,xw)
| sP6(xd,X0) ),
inference(resolution,[],[f269,f226]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X2)
| sP7(X0,X1)
| sP6(X2,X0)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| ~ aElement0(X0)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ iLess0(X1,xa)
| sP6(X2,X0)
| ( ~ sdtmndtasgtdt0(X1,xR,X2)
& ~ sdtmndtplgtdt0(X1,xR,X2)
& ~ aReductOfIn0(X2,X1,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X1,xR)
| ~ sdtmndtplgtdt0(X3,xR,X2) )
& X1 != X2 )
| sP7(X0,X1)
| ~ aElement0(X2) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X1,X0,X2] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| sP6(X2,X1)
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& X0 != X2 )
| sP7(X1,X0)
| ~ aElement0(X2) ),
inference(definition_folding,[],[f66,f81,f80,f79]) ).
fof(f79,plain,
! [X5,X1] :
( ( sdtmndtplgtdt0(X1,xR,X5)
& ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aReductOfIn0(X6,X1,xR)
& aElement0(X6)
& sdtmndtplgtdt0(X6,xR,X5) ) ) )
| X1 = X5
| ~ sP5(X5,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f80,plain,
! [X2,X1] :
( ? [X5] :
( ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR) ) ) )
| X2 = X5 )
& aElement0(X5)
& sdtmndtasgtdt0(X2,xR,X5)
& sdtmndtasgtdt0(X1,xR,X5)
& sP5(X5,X1) )
| ~ sP6(X2,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f81,plain,
! [X1,X0] :
( ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aElement0(X3) )
& ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ sP7(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f66,plain,
! [X1,X0,X2] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ~ iLess0(X0,xa)
| ? [X5] :
( ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR) ) ) )
| X2 = X5 )
& aElement0(X5)
& sdtmndtasgtdt0(X2,xR,X5)
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aReductOfIn0(X6,X1,xR)
& aElement0(X6)
& sdtmndtplgtdt0(X6,xR,X5) ) ) )
| X1 = X5 ) )
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& X0 != X2 )
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aElement0(X3) )
& ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ aElement0(X2) ),
inference(flattening,[],[f65]) ).
fof(f65,plain,
! [X1,X2,X0] :
( ? [X5] :
( ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR) ) ) )
| X2 = X5 )
& aElement0(X5)
& sdtmndtasgtdt0(X2,xR,X5)
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aReductOfIn0(X6,X1,xR)
& aElement0(X6)
& sdtmndtplgtdt0(X6,xR,X5) ) ) )
| X1 = X5 ) )
| ~ iLess0(X0,xa)
| ~ aElement0(X2)
| ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aElement0(X3) )
& ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ( ~ sdtmndtasgtdt0(X0,xR,X2)
& ~ sdtmndtplgtdt0(X0,xR,X2)
& ~ aReductOfIn0(X2,X0,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X0,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& X0 != X2 )
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,plain,
! [X1,X2,X0] :
( ( aElement0(X2)
& ( sdtmndtasgtdt0(X0,xR,X1)
| sdtmndtplgtdt0(X0,xR,X1)
| ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X1)
& aReductOfIn0(X3,X0,xR) )
| X0 = X1
| aReductOfIn0(X1,X0,xR) )
& ( sdtmndtplgtdt0(X0,xR,X2)
| X0 = X2
| sdtmndtasgtdt0(X0,xR,X2)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X0,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| aReductOfIn0(X2,X0,xR) )
& aElement0(X0)
& aElement0(X1) )
=> ( iLess0(X0,xa)
=> ? [X5] :
( ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR) ) ) )
| X2 = X5 )
& aElement0(X5)
& sdtmndtasgtdt0(X2,xR,X5)
& sdtmndtasgtdt0(X1,xR,X5)
& ( ( sdtmndtplgtdt0(X1,xR,X5)
& ( aReductOfIn0(X5,X1,xR)
| ? [X6] :
( aReductOfIn0(X6,X1,xR)
& aElement0(X6)
& sdtmndtplgtdt0(X6,xR,X5) ) ) )
| X1 = X5 ) ) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X2,X1] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X0)
& ( sdtmndtasgtdt0(X0,xR,X2)
| X0 = X2
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X0,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X0,xR,X2)
| aReductOfIn0(X2,X0,xR) )
& ( sdtmndtplgtdt0(X0,xR,X1)
| sdtmndtasgtdt0(X0,xR,X1)
| X0 = X1
| aReductOfIn0(X1,X0,xR)
| ? [X3] :
( sdtmndtplgtdt0(X3,xR,X1)
& aElement0(X3)
& aReductOfIn0(X3,X0,xR) ) ) )
=> ( iLess0(X0,xa)
=> ? [X3] :
( aElement0(X3)
& sdtmndtasgtdt0(X1,xR,X3)
& sdtmndtasgtdt0(X2,xR,X3)
& ( ( ( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X2,xR) )
| aReductOfIn0(X3,X2,xR) )
& sdtmndtplgtdt0(X2,xR,X3) )
| X2 = X3 )
& ( ( ( ? [X4] :
( aElement0(X4)
& sdtmndtplgtdt0(X4,xR,X3)
& aReductOfIn0(X4,X1,xR) )
| aReductOfIn0(X3,X1,xR) )
& sdtmndtplgtdt0(X1,xR,X3) )
| X1 = X3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__715) ).
fof(f269,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(cnf_transformation,[],[f139]) ).
fof(f4028,plain,
( ~ spl35_7
| ~ spl35_113
| ~ spl35_140 ),
inference(avatar_contradiction_clause,[],[f4027]) ).
fof(f4027,plain,
( $false
| ~ spl35_7
| ~ spl35_113
| ~ spl35_140 ),
inference(subsumption_resolution,[],[f3969,f296]) ).
fof(f296,plain,
! [X1] : ~ sP7(X1,X1),
inference(equality_resolution,[],[f205]) ).
fof(f205,plain,
! [X0,X1] :
( X0 != X1
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ( ~ sdtmndtplgtdt0(X1,xR,X0)
& ! [X2] :
( ~ aReductOfIn0(X2,X1,xR)
| ~ sdtmndtplgtdt0(X2,xR,X0)
| ~ aElement0(X2) )
& ~ sdtmndtasgtdt0(X1,xR,X0)
& ~ aReductOfIn0(X0,X1,xR)
& X0 != X1 )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f107]) ).
fof(f107,plain,
! [X1,X0] :
( ( ~ sdtmndtplgtdt0(X0,xR,X1)
& ! [X3] :
( ~ aReductOfIn0(X3,X0,xR)
| ~ sdtmndtplgtdt0(X3,xR,X1)
| ~ aElement0(X3) )
& ~ sdtmndtasgtdt0(X0,xR,X1)
& ~ aReductOfIn0(X1,X0,xR)
& X0 != X1 )
| ~ sP7(X1,X0) ),
inference(nnf_transformation,[],[f81]) ).
fof(f3969,plain,
( sP7(xb,xb)
| ~ spl35_7
| ~ spl35_113
| ~ spl35_140 ),
inference(backward_demodulation,[],[f3199,f3208]) ).
fof(f3199,plain,
( sP7(xb,xw)
| ~ spl35_7
| ~ spl35_113 ),
inference(subsumption_resolution,[],[f3197,f328]) ).
fof(f3197,plain,
( ~ aElement0(xb)
| sP7(xb,xw)
| ~ spl35_113 ),
inference(resolution,[],[f2760,f2903]) ).
fof(f2903,plain,
~ sP6(xd,xb),
inference(duplicate_literal_removal,[],[f2902]) ).
fof(f2902,plain,
( ~ sP6(xd,xb)
| ~ sP6(xd,xb) ),
inference(resolution,[],[f2832,f676]) ).
fof(f676,plain,
! [X3] :
( sP2(sK19(X3,xb))
| ~ sP6(X3,xb) ),
inference(subsumption_resolution,[],[f675,f213]) ).
fof(f213,plain,
! [X0,X1] :
( aElement0(sK19(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ( ( ( sdtmndtplgtdt0(X0,xR,sK19(X0,X1))
& ( aReductOfIn0(sK19(X0,X1),X0,xR)
| ( aElement0(sK20(X0,X1))
& sdtmndtplgtdt0(sK20(X0,X1),xR,sK19(X0,X1))
& aReductOfIn0(sK20(X0,X1),X0,xR) ) ) )
| sK19(X0,X1) = X0 )
& aElement0(sK19(X0,X1))
& sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1))
& sP5(sK19(X0,X1),X1) )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20])],[f110,f112,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( aReductOfIn0(X2,X0,xR)
| ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR) ) ) )
| X0 = X2 )
& aElement0(X2)
& sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X1,xR,X2)
& sP5(X2,X1) )
=> ( ( ( sdtmndtplgtdt0(X0,xR,sK19(X0,X1))
& ( aReductOfIn0(sK19(X0,X1),X0,xR)
| ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,xR,sK19(X0,X1))
& aReductOfIn0(X3,X0,xR) ) ) )
| sK19(X0,X1) = X0 )
& aElement0(sK19(X0,X1))
& sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
& sdtmndtasgtdt0(X1,xR,sK19(X0,X1))
& sP5(sK19(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,xR,sK19(X0,X1))
& aReductOfIn0(X3,X0,xR) )
=> ( aElement0(sK20(X0,X1))
& sdtmndtplgtdt0(sK20(X0,X1),xR,sK19(X0,X1))
& aReductOfIn0(sK20(X0,X1),X0,xR) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0,X1] :
( ? [X2] :
( ( ( sdtmndtplgtdt0(X0,xR,X2)
& ( aReductOfIn0(X2,X0,xR)
| ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,xR,X2)
& aReductOfIn0(X3,X0,xR) ) ) )
| X0 = X2 )
& aElement0(X2)
& sdtmndtasgtdt0(X0,xR,X2)
& sdtmndtasgtdt0(X1,xR,X2)
& sP5(X2,X1) )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X2,X1] :
( ? [X5] :
( ( ( sdtmndtplgtdt0(X2,xR,X5)
& ( aReductOfIn0(X5,X2,xR)
| ? [X7] :
( aElement0(X7)
& sdtmndtplgtdt0(X7,xR,X5)
& aReductOfIn0(X7,X2,xR) ) ) )
| X2 = X5 )
& aElement0(X5)
& sdtmndtasgtdt0(X2,xR,X5)
& sdtmndtasgtdt0(X1,xR,X5)
& sP5(X5,X1) )
| ~ sP6(X2,X1) ),
inference(nnf_transformation,[],[f80]) ).
fof(f675,plain,
! [X3] :
( ~ aElement0(sK19(X3,xb))
| ~ sP6(X3,xb)
| sP2(sK19(X3,xb)) ),
inference(resolution,[],[f211,f190]) ).
fof(f190,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xb,xR,X0)
| ~ aElement0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X1,xR,sK19(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f2832,plain,
! [X1] :
( ~ sP2(sK19(xd,X1))
| ~ sP6(xd,X1) ),
inference(resolution,[],[f185,f212]) ).
fof(f212,plain,
! [X0,X1] :
( sdtmndtasgtdt0(X0,xR,sK19(X0,X1))
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f185,plain,
! [X0] :
( ~ sdtmndtasgtdt0(xd,xR,X0)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f2760,plain,
( ! [X0] :
( sP6(xd,X0)
| sP7(X0,xw)
| ~ aElement0(X0) )
| ~ spl35_113 ),
inference(avatar_component_clause,[],[f2759]) ).
fof(f3880,plain,
( ~ spl35_3
| ~ spl35_8
| spl35_140 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
fof(f3879,plain,
( $false
| ~ spl35_3
| ~ spl35_8
| spl35_140 ),
inference(subsumption_resolution,[],[f3878,f3207]) ).
fof(f3207,plain,
( xb != xw
| spl35_140 ),
inference(avatar_component_clause,[],[f3206]) ).
fof(f3878,plain,
( xb = xw
| ~ spl35_3
| ~ spl35_8 ),
inference(forward_demodulation,[],[f334,f311]) ).
fof(f311,plain,
( xb = xu
| ~ spl35_3 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f309,plain,
( spl35_3
<=> xb = xu ),
introduced(avatar_definition,[new_symbols(naming,[spl35_3])]) ).
fof(f334,plain,
( xu = xw
| ~ spl35_8 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl35_8
<=> xu = xw ),
introduced(avatar_definition,[new_symbols(naming,[spl35_8])]) ).
fof(f3876,plain,
( spl35_145
| ~ spl35_3
| ~ spl35_9 ),
inference(avatar_split_clause,[],[f3875,f336,f309,f3863]) ).
fof(f336,plain,
( spl35_9
<=> aReductOfIn0(sK28,xu,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_9])]) ).
fof(f3875,plain,
( aReductOfIn0(sK28,xb,xR)
| ~ spl35_3
| ~ spl35_9 ),
inference(forward_demodulation,[],[f338,f311]) ).
fof(f338,plain,
( aReductOfIn0(sK28,xu,xR)
| ~ spl35_9 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f3871,plain,
( spl35_142
| ~ spl35_3
| ~ spl35_10 ),
inference(avatar_split_clause,[],[f3817,f340,f309,f3832]) ).
fof(f3832,plain,
( spl35_142
<=> aReductOfIn0(xw,xb,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_142])]) ).
fof(f340,plain,
( spl35_10
<=> aReductOfIn0(xw,xu,xR) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_10])]) ).
fof(f3817,plain,
( aReductOfIn0(xw,xb,xR)
| ~ spl35_3
| ~ spl35_10 ),
inference(forward_demodulation,[],[f342,f311]) ).
fof(f342,plain,
( aReductOfIn0(xw,xu,xR)
| ~ spl35_10 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f3853,plain,
( ~ spl35_142
| ~ spl35_32 ),
inference(avatar_split_clause,[],[f3852,f443,f3832]) ).
fof(f3852,plain,
( ~ aReductOfIn0(xw,xb,xR)
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f3851,f248]) ).
fof(f3851,plain,
( ~ aElement0(xw)
| ~ aReductOfIn0(xw,xb,xR)
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f3850,f262]) ).
fof(f3850,plain,
( ~ aReductOfIn0(xw,xb,xR)
| ~ aElement0(xd)
| ~ aElement0(xw)
| ~ spl35_32 ),
inference(subsumption_resolution,[],[f2809,f294]) ).
fof(f2809,plain,
( sP2(xd)
| ~ aReductOfIn0(xw,xb,xR)
| ~ aElement0(xw)
| ~ aElement0(xd)
| ~ spl35_32 ),
inference(resolution,[],[f445,f189]) ).
fof(f3593,plain,
( spl35_3
| spl35_40
| ~ spl35_7 ),
inference(avatar_split_clause,[],[f3592,f327,f485,f309]) ).
fof(f485,plain,
( spl35_40
<=> sdtmndtplgtdt0(xu,xR,xb) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_40])]) ).
fof(f3592,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| xb = xu
| ~ spl35_7 ),
inference(subsumption_resolution,[],[f3591,f154]) ).
fof(f3591,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| xb = xu
| ~ aRewritingSystem0(xR)
| ~ spl35_7 ),
inference(subsumption_resolution,[],[f3590,f227]) ).
fof(f227,plain,
aElement0(xu),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
( ( xb = xu
| ( ( aReductOfIn0(xb,xu,xR)
| ( aReductOfIn0(sK22,xu,xR)
& aElement0(sK22)
& sdtmndtplgtdt0(sK22,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb)
& aElement0(xu) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22])],[f20,f119]) ).
fof(f119,plain,
( ? [X0] :
( aReductOfIn0(X0,xu,xR)
& aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xb) )
=> ( aReductOfIn0(sK22,xu,xR)
& aElement0(sK22)
& sdtmndtplgtdt0(sK22,xR,xb) ) ),
introduced(choice_axiom,[]) ).
fof(f20,axiom,
( ( xb = xu
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X0] :
( aReductOfIn0(X0,xu,xR)
& aElement0(X0)
& sdtmndtplgtdt0(X0,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& aReductOfIn0(xu,xa,xR)
& sdtmndtasgtdt0(xu,xR,xb)
& aElement0(xu) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__755) ).
fof(f3590,plain,
( ~ aElement0(xu)
| sdtmndtplgtdt0(xu,xR,xb)
| xb = xu
| ~ aRewritingSystem0(xR)
| ~ spl35_7 ),
inference(subsumption_resolution,[],[f1029,f328]) ).
fof(f1029,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| ~ aElement0(xb)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xu)
| xb = xu ),
inference(resolution,[],[f168,f228]) ).
fof(f228,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(cnf_transformation,[],[f120]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ sdtmndtasgtdt0(X0,X1,X2)
| sdtmndtplgtdt0(X0,X1,X2)
| X0 = X2
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ( ( sdtmndtasgtdt0(X0,X1,X2)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X0,X1,X2) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2)
| ~ sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aRewritingSystem0(X1) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X0,X2,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( sdtmndtasgtdt0(X0,X2,X1)
| ( X0 != X1
& ~ sdtmndtplgtdt0(X0,X2,X1) ) )
& ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1)
| ~ sdtmndtasgtdt0(X0,X2,X1) ) )
| ~ aRewritingSystem0(X2) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0,X2,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( ( sdtmndtasgtdt0(X0,X2,X1)
| ( X0 != X1
& ~ sdtmndtplgtdt0(X0,X2,X1) ) )
& ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1)
| ~ sdtmndtasgtdt0(X0,X2,X1) ) )
| ~ aRewritingSystem0(X2) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X2,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| ( sdtmndtasgtdt0(X0,X2,X1)
<=> ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aRewritingSystem0(X2) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0,X2,X1] :
( ( sdtmndtasgtdt0(X0,X2,X1)
<=> ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1) ) )
| ~ aElement0(X0)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X2,X1] :
( ( aElement0(X0)
& aRewritingSystem0(X2)
& aElement0(X1) )
=> ( sdtmndtasgtdt0(X0,X2,X1)
<=> ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( ( aRewritingSystem0(X1)
& aElement0(X0)
& aElement0(X2) )
=> ( ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) )
<=> sdtmndtasgtdt0(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f3589,plain,
( ~ spl35_7
| ~ spl35_40 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3588,plain,
( $false
| ~ spl35_7
| ~ spl35_40 ),
inference(subsumption_resolution,[],[f3587,f2872]) ).
fof(f2872,plain,
~ sP6(xb,xd),
inference(duplicate_literal_removal,[],[f2871]) ).
fof(f2871,plain,
( ~ sP6(xb,xd)
| ~ sP6(xb,xd) ),
inference(resolution,[],[f2831,f680]) ).
fof(f680,plain,
! [X3] :
( sP2(sK19(xb,X3))
| ~ sP6(xb,X3) ),
inference(subsumption_resolution,[],[f679,f213]) ).
fof(f679,plain,
! [X3] :
( ~ aElement0(sK19(xb,X3))
| ~ sP6(xb,X3)
| sP2(sK19(xb,X3)) ),
inference(resolution,[],[f212,f190]) ).
fof(f2831,plain,
! [X0] :
( ~ sP2(sK19(X0,xd))
| ~ sP6(X0,xd) ),
inference(resolution,[],[f185,f211]) ).
fof(f3587,plain,
( sP6(xb,xd)
| ~ spl35_7
| ~ spl35_40 ),
inference(subsumption_resolution,[],[f3586,f262]) ).
fof(f3586,plain,
( ~ aElement0(xd)
| sP6(xb,xd)
| ~ spl35_7
| ~ spl35_40 ),
inference(resolution,[],[f3569,f2450]) ).
fof(f2450,plain,
( ! [X14] :
( sP7(X14,xu)
| sP6(xb,X14)
| ~ aElement0(X14) )
| ~ spl35_7
| ~ spl35_40 ),
inference(subsumption_resolution,[],[f2449,f719]) ).
fof(f719,plain,
iLess0(xu,xa),
inference(subsumption_resolution,[],[f718,f227]) ).
fof(f718,plain,
( iLess0(xu,xa)
| ~ aElement0(xu) ),
inference(subsumption_resolution,[],[f708,f157]) ).
fof(f708,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu) ),
inference(resolution,[],[f275,f229]) ).
fof(f229,plain,
aReductOfIn0(xu,xa,xR),
inference(cnf_transformation,[],[f120]) ).
fof(f2449,plain,
( ! [X14] :
( ~ iLess0(xu,xa)
| sP7(X14,xu)
| sP6(xb,X14)
| ~ aElement0(X14) )
| ~ spl35_7
| ~ spl35_40 ),
inference(subsumption_resolution,[],[f2448,f328]) ).
fof(f2448,plain,
( ! [X14] :
( ~ aElement0(xb)
| sP6(xb,X14)
| sP7(X14,xu)
| ~ aElement0(X14)
| ~ iLess0(xu,xa) )
| ~ spl35_40 ),
inference(subsumption_resolution,[],[f1152,f227]) ).
fof(f1152,plain,
( ! [X14] :
( ~ aElement0(xu)
| sP7(X14,xu)
| ~ iLess0(xu,xa)
| sP6(xb,X14)
| ~ aElement0(xb)
| ~ aElement0(X14) )
| ~ spl35_40 ),
inference(resolution,[],[f225,f487]) ).
fof(f487,plain,
( sdtmndtplgtdt0(xu,xR,xb)
| ~ spl35_40 ),
inference(avatar_component_clause,[],[f485]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ sdtmndtplgtdt0(X1,xR,X2)
| sP6(X2,X0)
| sP7(X0,X1)
| ~ iLess0(X1,xa)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f3569,plain,
~ sP7(xd,xu),
inference(resolution,[],[f3529,f207]) ).
fof(f207,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X1,xR,X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f3529,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(subsumption_resolution,[],[f3523,f227]) ).
fof(f3523,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(resolution,[],[f2755,f257]) ).
fof(f257,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(cnf_transformation,[],[f132]) ).
fof(f2755,plain,
! [X4] :
( ~ sdtmndtasgtdt0(X4,xR,xw)
| sdtmndtasgtdt0(X4,xR,xd)
| ~ aElement0(X4) ),
inference(subsumption_resolution,[],[f2754,f262]) ).
fof(f2754,plain,
! [X4] :
( ~ sdtmndtasgtdt0(X4,xR,xw)
| ~ aElement0(X4)
| ~ aElement0(xd)
| sdtmndtasgtdt0(X4,xR,xd) ),
inference(subsumption_resolution,[],[f2753,f154]) ).
fof(f2753,plain,
! [X4] :
( ~ aRewritingSystem0(xR)
| ~ sdtmndtasgtdt0(X4,xR,xw)
| ~ aElement0(X4)
| sdtmndtasgtdt0(X4,xR,xd)
| ~ aElement0(xd) ),
inference(subsumption_resolution,[],[f2750,f248]) ).
fof(f2750,plain,
! [X4] :
( ~ aElement0(xw)
| sdtmndtasgtdt0(X4,xR,xd)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xd)
| ~ sdtmndtasgtdt0(X4,xR,xw)
| ~ aElement0(X4) ),
inference(resolution,[],[f269,f292]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ sdtmndtasgtdt0(X2,X3,X1)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X2)
| ~ aElement0(X1)
| sdtmndtasgtdt0(X0,X3,X1)
| ~ sdtmndtasgtdt0(X0,X3,X2)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ sdtmndtasgtdt0(X2,X3,X1)
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ sdtmndtasgtdt0(X0,X3,X2)
| ~ aRewritingSystem0(X3)
| sdtmndtasgtdt0(X0,X3,X1)
| ~ aElement0(X1) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X3,X2,X1,X0] :
( ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X1)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X0,X1)
| ~ aRewritingSystem0(X0)
| sdtmndtasgtdt0(X3,X0,X2)
| ~ aElement0(X2) ),
inference(flattening,[],[f47]) ).
fof(f47,plain,
! [X2,X3,X1,X0] :
( sdtmndtasgtdt0(X3,X0,X2)
| ~ sdtmndtasgtdt0(X3,X0,X1)
| ~ sdtmndtasgtdt0(X1,X0,X2)
| ~ aElement0(X2)
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ~ aElement0(X3) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X2,X3,X1,X0] :
( ( aElement0(X2)
& aRewritingSystem0(X0)
& aElement0(X1)
& aElement0(X3) )
=> ( ( sdtmndtasgtdt0(X3,X0,X1)
& sdtmndtasgtdt0(X1,X0,X2) )
=> sdtmndtasgtdt0(X3,X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X1,X2,X3,X0] :
( ( aElement0(X3)
& aRewritingSystem0(X1)
& aElement0(X0)
& aElement0(X2) )
=> ( ( sdtmndtasgtdt0(X2,X1,X3)
& sdtmndtasgtdt0(X0,X1,X2) )
=> sdtmndtasgtdt0(X0,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRTrans) ).
fof(f654,plain,
( ~ spl35_3
| ~ spl35_12
| ~ spl35_19 ),
inference(avatar_contradiction_clause,[],[f653]) ).
fof(f653,plain,
( $false
| ~ spl35_3
| ~ spl35_12
| ~ spl35_19 ),
inference(subsumption_resolution,[],[f652,f248]) ).
fof(f652,plain,
( ~ aElement0(xw)
| ~ spl35_3
| ~ spl35_12
| ~ spl35_19 ),
inference(subsumption_resolution,[],[f650,f632]) ).
fof(f632,plain,
( ~ sP2(xw)
| ~ spl35_12 ),
inference(backward_demodulation,[],[f294,f351]) ).
fof(f351,plain,
( xw = xd
| ~ spl35_12 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl35_12
<=> xw = xd ),
introduced(avatar_definition,[new_symbols(naming,[spl35_12])]) ).
fof(f650,plain,
( sP2(xw)
| ~ aElement0(xw)
| ~ spl35_3
| ~ spl35_19 ),
inference(resolution,[],[f637,f188]) ).
fof(f188,plain,
! [X0] :
( ~ sdtmndtplgtdt0(xb,xR,X0)
| ~ aElement0(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f637,plain,
( sdtmndtplgtdt0(xb,xR,xw)
| ~ spl35_3
| ~ spl35_19 ),
inference(forward_demodulation,[],[f384,f311]) ).
fof(f384,plain,
( sdtmndtplgtdt0(xu,xR,xw)
| ~ spl35_19 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f382,plain,
( spl35_19
<=> sdtmndtplgtdt0(xu,xR,xw) ),
introduced(avatar_definition,[new_symbols(naming,[spl35_19])]) ).
fof(f493,plain,
( spl35_21
| ~ spl35_3 ),
inference(avatar_split_clause,[],[f492,f309,f391]) ).
fof(f492,plain,
( aReductOfIn0(xb,xa,xR)
| ~ spl35_3 ),
inference(backward_demodulation,[],[f229,f311]) ).
fof(f478,plain,
spl35_7,
inference(avatar_split_clause,[],[f158,f327]) ).
fof(f158,plain,
aElement0(xb),
inference(cnf_transformation,[],[f17]) ).
fof(f446,plain,
( spl35_12
| spl35_32 ),
inference(avatar_split_clause,[],[f266,f443,f349]) ).
fof(f266,plain,
( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd ),
inference(cnf_transformation,[],[f139]) ).
fof(f421,plain,
( spl35_8
| spl35_10
| spl35_27 ),
inference(avatar_split_clause,[],[f250,f418,f340,f332]) ).
fof(f250,plain,
( sdtmndtplgtdt0(sK28,xR,xw)
| aReductOfIn0(xw,xu,xR)
| xu = xw ),
inference(cnf_transformation,[],[f132]) ).
fof(f385,plain,
( spl35_19
| spl35_8 ),
inference(avatar_split_clause,[],[f249,f332,f382]) ).
fof(f249,plain,
( xu = xw
| sdtmndtplgtdt0(xu,xR,xw) ),
inference(cnf_transformation,[],[f132]) ).
fof(f380,plain,
( spl35_8
| spl35_10
| spl35_18 ),
inference(avatar_split_clause,[],[f252,f377,f340,f332]) ).
fof(f252,plain,
( aElement0(sK28)
| aReductOfIn0(xw,xu,xR)
| xu = xw ),
inference(cnf_transformation,[],[f132]) ).
fof(f343,plain,
( spl35_8
| spl35_9
| spl35_10 ),
inference(avatar_split_clause,[],[f251,f340,f336,f332]) ).
fof(f251,plain,
( aReductOfIn0(xw,xu,xR)
| aReductOfIn0(sK28,xu,xR)
| xu = xw ),
inference(cnf_transformation,[],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : COM020+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.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 : Mon Aug 29 17:10:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50 % (17544)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (17562)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (17548)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (17552)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (17547)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (17558)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.52 % (17543)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (17572)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (17565)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (17550)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53 % (17557)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (17544)Refutation not found, incomplete strategy% (17544)------------------------------
% 0.19/0.53 % (17544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (17544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (17545)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.53 % (17544)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (17544)Memory used [KB]: 5884
% 0.19/0.53 % (17544)Time elapsed: 0.126 s
% 0.19/0.53 % (17544)Instructions burned: 21 (million)
% 0.19/0.53 % (17544)------------------------------
% 0.19/0.53 % (17544)------------------------------
% 0.19/0.53 % (17568)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (17546)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (17564)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (17550)Instruction limit reached!
% 0.19/0.54 % (17550)------------------------------
% 0.19/0.54 % (17550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17556)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (17551)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.54 % (17551)Instruction limit reached!
% 0.19/0.54 % (17551)------------------------------
% 0.19/0.54 % (17551)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (17551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17551)Termination reason: Unknown
% 0.19/0.54 % (17551)Termination phase: shuffling
% 0.19/0.54
% 0.19/0.54 % (17551)Memory used [KB]: 895
% 0.19/0.54 % (17551)Time elapsed: 0.002 s
% 0.19/0.54 % (17551)Instructions burned: 2 (million)
% 0.19/0.54 % (17551)------------------------------
% 0.19/0.54 % (17551)------------------------------
% 0.19/0.54 % (17563)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.54 % (17561)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (17550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (17550)Termination reason: Unknown
% 0.19/0.54 % (17550)Termination phase: Saturation
% 0.19/0.54
% 0.19/0.54 % (17550)Memory used [KB]: 5628
% 0.19/0.54 % (17550)Time elapsed: 0.008 s
% 0.19/0.54 % (17550)Instructions burned: 8 (million)
% 0.19/0.54 % (17550)------------------------------
% 0.19/0.54 % (17550)------------------------------
% 0.19/0.54 % (17570)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.54 % (17559)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (17566)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.54 % (17560)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.49/0.54 % (17569)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.49/0.55 % (17549)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.55 % (17555)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.49/0.55 % (17553)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.49/0.55 % (17554)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.55 % (17571)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.49/0.55 % (17567)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.55 TRYING [1]
% 1.49/0.55 TRYING [2]
% 1.64/0.57 TRYING [1]
% 1.64/0.57 TRYING [2]
% 1.64/0.57 TRYING [1]
% 1.64/0.58 TRYING [2]
% 1.64/0.58 TRYING [3]
% 1.64/0.58 TRYING [3]
% 1.64/0.59 % (17545)Instruction limit reached!
% 1.64/0.59 % (17545)------------------------------
% 1.64/0.59 % (17545)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (17545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (17545)Termination reason: Unknown
% 1.64/0.59 % (17545)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (17545)Memory used [KB]: 1407
% 1.64/0.59 % (17545)Time elapsed: 0.190 s
% 1.64/0.59 % (17545)Instructions burned: 38 (million)
% 1.64/0.59 % (17545)------------------------------
% 1.64/0.59 % (17545)------------------------------
% 1.64/0.59 % (17552)Instruction limit reached!
% 1.64/0.59 % (17552)------------------------------
% 1.64/0.59 % (17552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59 % (17552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59 % (17552)Termination reason: Unknown
% 1.64/0.59 % (17552)Termination phase: Saturation
% 1.64/0.59
% 1.64/0.59 % (17552)Memory used [KB]: 1663
% 1.64/0.59 % (17552)Time elapsed: 0.181 s
% 1.64/0.59 % (17552)Instructions burned: 51 (million)
% 1.64/0.59 % (17552)------------------------------
% 1.64/0.59 % (17552)------------------------------
% 1.64/0.60 TRYING [3]
% 1.64/0.61 % (17549)Instruction limit reached!
% 1.64/0.61 % (17549)------------------------------
% 1.64/0.61 % (17549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.61 % (17549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.61 % (17549)Termination reason: Unknown
% 1.64/0.61 % (17549)Termination phase: Finite model building SAT solving
% 1.64/0.61
% 1.64/0.61 % (17549)Memory used [KB]: 7291
% 1.64/0.61 % (17549)Time elapsed: 0.147 s
% 1.64/0.61 % (17549)Instructions burned: 53 (million)
% 1.64/0.61 % (17549)------------------------------
% 1.64/0.61 % (17549)------------------------------
% 1.64/0.61 TRYING [4]
% 1.64/0.62 % (17547)Instruction limit reached!
% 1.64/0.62 % (17547)------------------------------
% 1.64/0.62 % (17547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (17547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (17547)Termination reason: Unknown
% 1.64/0.62 % (17547)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (17547)Memory used [KB]: 6396
% 1.64/0.62 % (17547)Time elapsed: 0.192 s
% 1.64/0.62 % (17547)Instructions burned: 51 (million)
% 1.64/0.62 % (17547)------------------------------
% 1.64/0.62 % (17547)------------------------------
% 1.64/0.62 % (17546)Instruction limit reached!
% 1.64/0.62 % (17546)------------------------------
% 1.64/0.62 % (17546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (17546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (17546)Termination reason: Unknown
% 1.64/0.62 % (17546)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (17546)Memory used [KB]: 6524
% 1.64/0.62 % (17546)Time elapsed: 0.217 s
% 1.64/0.62 % (17546)Instructions burned: 52 (million)
% 1.64/0.62 % (17546)------------------------------
% 1.64/0.62 % (17546)------------------------------
% 1.64/0.62 % (17548)Instruction limit reached!
% 1.64/0.62 % (17548)------------------------------
% 1.64/0.62 % (17548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (17548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (17548)Termination reason: Unknown
% 1.64/0.62 % (17548)Termination phase: Saturation
% 1.64/0.62
% 1.64/0.62 % (17548)Memory used [KB]: 6268
% 1.64/0.62 % (17548)Time elapsed: 0.220 s
% 1.64/0.62 % (17548)Instructions burned: 49 (million)
% 1.64/0.62 % (17548)------------------------------
% 1.64/0.62 % (17548)------------------------------
% 1.64/0.62 % (17560)Instruction limit reached!
% 1.64/0.62 % (17560)------------------------------
% 1.64/0.62 % (17560)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.62 % (17560)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.62 % (17560)Termination reason: Unknown
% 1.64/0.62 % (17560)Termination phase: Finite model building SAT solving
% 1.64/0.62
% 1.64/0.62 % (17560)Memory used [KB]: 7164
% 1.64/0.62 % (17560)Time elapsed: 0.204 s
% 1.64/0.62 % (17560)Instructions burned: 59 (million)
% 1.64/0.62 % (17560)------------------------------
% 1.64/0.62 % (17560)------------------------------
% 2.09/0.65 % (17575)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.09/0.66 % (17553)Instruction limit reached!
% 2.09/0.66 % (17553)------------------------------
% 2.09/0.66 % (17553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (17553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (17553)Termination reason: Unknown
% 2.09/0.66 % (17553)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (17553)Memory used [KB]: 6652
% 2.09/0.66 % (17553)Time elapsed: 0.237 s
% 2.09/0.66 % (17553)Instructions burned: 51 (million)
% 2.09/0.66 % (17553)------------------------------
% 2.09/0.66 % (17553)------------------------------
% 2.09/0.66 % (17557)Instruction limit reached!
% 2.09/0.66 % (17557)------------------------------
% 2.09/0.66 % (17557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.66 % (17557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.66 % (17557)Termination reason: Unknown
% 2.09/0.66 % (17557)Termination phase: Saturation
% 2.09/0.66
% 2.09/0.66 % (17557)Memory used [KB]: 6780
% 2.09/0.66 % (17557)Time elapsed: 0.042 s
% 2.09/0.66 % (17557)Instructions burned: 69 (million)
% 2.09/0.66 % (17557)------------------------------
% 2.09/0.66 % (17557)------------------------------
% 2.09/0.66 % (17562)Instruction limit reached!
% 2.09/0.66 % (17562)------------------------------
% 2.09/0.66 % (17562)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.66 % (17562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.66 % (17562)Termination reason: Unknown
% 2.32/0.66 % (17562)Termination phase: Saturation
% 2.32/0.66
% 2.32/0.66 % (17562)Memory used [KB]: 2174
% 2.32/0.66 % (17562)Time elapsed: 0.252 s
% 2.32/0.66 % (17562)Instructions burned: 100 (million)
% 2.32/0.66 % (17562)------------------------------
% 2.32/0.66 % (17562)------------------------------
% 2.32/0.67 % (17558)Instruction limit reached!
% 2.32/0.67 % (17558)------------------------------
% 2.32/0.67 % (17558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (17573)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.32/0.68 % (17558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (17558)Termination reason: Unknown
% 2.32/0.68 % (17558)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (17558)Memory used [KB]: 1918
% 2.32/0.68 % (17558)Time elapsed: 0.258 s
% 2.32/0.68 % (17558)Instructions burned: 76 (million)
% 2.32/0.68 % (17558)------------------------------
% 2.32/0.68 % (17558)------------------------------
% 2.32/0.68 % (17569)Instruction limit reached!
% 2.32/0.68 % (17569)------------------------------
% 2.32/0.68 % (17569)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.32/0.68 % (17569)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.32/0.68 % (17569)Termination reason: Unknown
% 2.32/0.68 % (17569)Termination phase: Saturation
% 2.32/0.68
% 2.32/0.68 % (17569)Memory used [KB]: 6652
% 2.32/0.68 % (17569)Time elapsed: 0.040 s
% 2.32/0.68 % (17569)Instructions burned: 69 (million)
% 2.32/0.68 % (17569)------------------------------
% 2.32/0.68 % (17569)------------------------------
% 2.32/0.68 TRYING [5]
% 2.32/0.71 % (17574)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.32/0.72 % (17577)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.32/0.73 % (17576)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.63/0.73 % (17559)Instruction limit reached!
% 2.63/0.73 % (17559)------------------------------
% 2.63/0.73 % (17559)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.73 % (17559)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.73 % (17559)Termination reason: Unknown
% 2.63/0.73 % (17556)Instruction limit reached!
% 2.63/0.73 % (17556)------------------------------
% 2.63/0.73 % (17556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.73 % (17559)Termination phase: Saturation
% 2.63/0.73
% 2.63/0.73 % (17556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.73 % (17556)Termination reason: Unknown
% 2.63/0.73 % (17559)Memory used [KB]: 6780
% 2.63/0.73 % (17556)Termination phase: Saturation
% 2.63/0.73
% 2.63/0.73 % (17559)Time elapsed: 0.334 s
% 2.63/0.73 % (17559)Instructions burned: 99 (million)
% 2.63/0.73 % (17559)------------------------------
% 2.63/0.73 % (17559)------------------------------
% 2.63/0.73 % (17556)Memory used [KB]: 6780
% 2.63/0.73 % (17556)Time elapsed: 0.331 s
% 2.63/0.73 % (17556)Instructions burned: 99 (million)
% 2.63/0.73 % (17556)------------------------------
% 2.63/0.73 % (17556)------------------------------
% 2.63/0.74 % (17554)Instruction limit reached!
% 2.63/0.74 % (17554)------------------------------
% 2.63/0.74 % (17554)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (17554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (17554)Termination reason: Unknown
% 2.63/0.74 % (17554)Termination phase: Saturation
% 2.63/0.74
% 2.63/0.74 % (17554)Memory used [KB]: 7547
% 2.63/0.74 % (17554)Time elapsed: 0.342 s
% 2.63/0.74 % (17554)Instructions burned: 101 (million)
% 2.63/0.74 % (17554)------------------------------
% 2.63/0.74 % (17554)------------------------------
% 2.63/0.74 % (17578)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.63/0.74 % (17555)Instruction limit reached!
% 2.63/0.74 % (17555)------------------------------
% 2.63/0.74 % (17555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.74 % (17555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.74 % (17555)Termination reason: Unknown
% 2.63/0.74 % (17555)Termination phase: Saturation
% 2.63/0.74
% 2.63/0.74 % (17555)Memory used [KB]: 6908
% 2.63/0.74 % (17555)Time elapsed: 0.344 s
% 2.63/0.74 % (17555)Instructions burned: 101 (million)
% 2.63/0.74 % (17555)------------------------------
% 2.63/0.74 % (17555)------------------------------
% 2.63/0.75 % (17561)Instruction limit reached!
% 2.63/0.75 % (17561)------------------------------
% 2.63/0.75 % (17561)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.63/0.75 % (17561)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.63/0.75 % (17561)Termination reason: Unknown
% 2.63/0.75 % (17561)Termination phase: Saturation
% 2.63/0.75
% 2.63/0.75 % (17561)Memory used [KB]: 6780
% 2.63/0.75 % (17561)Time elapsed: 0.322 s
% 2.63/0.75 % (17561)Instructions burned: 101 (million)
% 2.63/0.75 % (17561)------------------------------
% 2.63/0.75 % (17561)------------------------------
% 2.63/0.75 % (17581)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.63/0.75 % (17580)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.63/0.75 % (17579)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.63/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.63/0.76 % (17582)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.77/0.79 % (17564)Instruction limit reached!
% 2.77/0.79 % (17564)------------------------------
% 2.77/0.79 % (17564)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (17564)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (17564)Termination reason: Unknown
% 2.77/0.79 % (17564)Termination phase: Saturation
% 2.77/0.79
% 2.77/0.79 % (17564)Memory used [KB]: 7036
% 2.77/0.79 % (17564)Time elapsed: 0.389 s
% 2.77/0.79 % (17564)Instructions burned: 139 (million)
% 2.77/0.79 % (17564)------------------------------
% 2.77/0.79 % (17564)------------------------------
% 2.77/0.79 % (17584)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.77/0.79 % (17583)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.77/0.81 % (17585)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.77/0.81 % (17587)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.77/0.82 TRYING [6]
% 2.77/0.82 % (17586)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.77/0.82 % (17575)Instruction limit reached!
% 2.77/0.82 % (17575)------------------------------
% 2.77/0.82 % (17575)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.82 % (17575)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.82 % (17575)Termination reason: Unknown
% 2.77/0.82 % (17575)Termination phase: Saturation
% 2.77/0.82
% 2.77/0.82 % (17575)Memory used [KB]: 7164
% 2.77/0.82 % (17575)Time elapsed: 0.224 s
% 2.77/0.82 % (17575)Instructions burned: 90 (million)
% 2.77/0.82 % (17575)------------------------------
% 2.77/0.82 % (17575)------------------------------
% 3.03/0.84 % (17570)Instruction limit reached!
% 3.03/0.84 % (17570)------------------------------
% 3.03/0.84 % (17570)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.03/0.84 % (17570)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.03/0.84 % (17570)Termination reason: Unknown
% 3.03/0.84 % (17570)Termination phase: Saturation
% 3.03/0.84
% 3.03/0.84 % (17570)Memory used [KB]: 2814
% 3.03/0.84 % (17570)Time elapsed: 0.441 s
% 3.03/0.84 % (17570)Instructions burned: 178 (million)
% 3.03/0.84 % (17570)------------------------------
% 3.03/0.84 % (17570)------------------------------
% 3.12/0.87 % (17588)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.12/0.87 % (17589)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.12/0.87 % (17563)Instruction limit reached!
% 3.12/0.87 % (17563)------------------------------
% 3.12/0.87 % (17563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.87 % (17563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.87 % (17563)Termination reason: Unknown
% 3.12/0.87 % (17563)Termination phase: Saturation
% 3.12/0.87
% 3.12/0.87 % (17563)Memory used [KB]: 7931
% 3.12/0.87 % (17563)Time elapsed: 0.430 s
% 3.12/0.87 % (17563)Instructions burned: 178 (million)
% 3.12/0.87 % (17563)------------------------------
% 3.12/0.87 % (17563)------------------------------
% 3.12/0.88 % (17591)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.12/0.88 % (17590)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.12/0.88 % (17592)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.12/0.89 % (17580)Instruction limit reached!
% 3.12/0.89 % (17580)------------------------------
% 3.12/0.89 % (17580)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.12/0.89 % (17580)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.12/0.89 % (17580)Termination reason: Unknown
% 3.12/0.89 % (17580)Termination phase: Saturation
% 3.12/0.89
% 3.12/0.89 % (17580)Memory used [KB]: 6652
% 3.12/0.89 % (17580)Time elapsed: 0.037 s
% 3.12/0.89 % (17580)Instructions burned: 68 (million)
% 3.12/0.89 % (17580)------------------------------
% 3.12/0.89 % (17580)------------------------------
% 3.32/0.93 % (17593)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.32/0.96 % (17583)Instruction limit reached!
% 3.32/0.96 % (17583)------------------------------
% 3.32/0.96 % (17583)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.96 % (17583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.96 % (17583)Termination reason: Unknown
% 3.32/0.96 % (17583)Termination phase: Saturation
% 3.32/0.96
% 3.32/0.96 % (17583)Memory used [KB]: 6780
% 3.32/0.96 % (17583)Time elapsed: 0.274 s
% 3.32/0.96 % (17583)Instructions burned: 91 (million)
% 3.32/0.96 % (17583)------------------------------
% 3.32/0.96 % (17583)------------------------------
% 3.32/0.96 % (17594)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.46/0.97 % (17595)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.46/0.98 % (17574)Instruction limit reached!
% 3.46/0.98 % (17574)------------------------------
% 3.46/0.98 % (17574)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.98 % (17574)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.98 % (17574)Termination reason: Unknown
% 3.46/0.98 % (17574)Termination phase: Saturation
% 3.46/0.98
% 3.46/0.98 % (17574)Memory used [KB]: 2686
% 3.46/0.98 % (17574)Time elapsed: 0.369 s
% 3.46/0.98 % (17574)Instructions burned: 211 (million)
% 3.46/0.98 % (17574)------------------------------
% 3.46/0.98 % (17574)------------------------------
% 3.46/0.99 % (17567)First to succeed.
% 3.46/0.99 % (17590)Instruction limit reached!
% 3.46/0.99 % (17590)------------------------------
% 3.46/0.99 % (17590)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.99 % (17590)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.99 % (17590)Termination reason: Unknown
% 3.46/0.99 % (17590)Termination phase: Saturation
% 3.46/0.99
% 3.46/0.99 % (17590)Memory used [KB]: 6652
% 3.46/0.99 % (17590)Time elapsed: 0.035 s
% 3.46/0.99 % (17590)Instructions burned: 68 (million)
% 3.46/0.99 % (17590)------------------------------
% 3.46/0.99 % (17590)------------------------------
% 3.46/1.01 % (17596)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.46/1.01 % (17567)Refutation found. Thanks to Tanya!
% 3.46/1.01 % SZS status Theorem for theBenchmark
% 3.46/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.02 % (17567)------------------------------
% 3.46/1.02 % (17567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/1.02 % (17567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/1.02 % (17567)Termination reason: Refutation
% 3.46/1.02
% 3.46/1.02 % (17567)Memory used [KB]: 7931
% 3.46/1.02 % (17567)Time elapsed: 0.571 s
% 3.46/1.02 % (17567)Instructions burned: 241 (million)
% 3.46/1.02 % (17567)------------------------------
% 3.46/1.02 % (17567)------------------------------
% 3.46/1.02 % (17542)Success in time 0.665 s
%------------------------------------------------------------------------------