TSTP Solution File: NUM588+3 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUM588+3 : 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 : n007.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 08:39:16 EDT 2024
% Result : Theorem 0.16s 0.37s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 72
% Syntax : Number of formulae : 191 ( 78 unt; 0 def)
% Number of atoms : 1320 ( 179 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 1497 ( 368 ~; 285 |; 685 &)
% ( 76 <=>; 83 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 61 ( 59 usr; 41 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-2 aty)
% Number of variables : 319 ( 256 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1048,plain,
$false,
inference(avatar_sat_refutation,[],[f852,f857,f862,f867,f872,f877,f882,f887,f891,f897,f902,f907,f912,f917,f922,f927,f932,f937,f942,f947,f952,f957,f962,f967,f972,f977,f981,f985,f990,f995,f1000,f1005,f1010,f1015,f1019,f1023,f1028,f1035,f1041,f1046,f1047]) ).
fof(f1047,plain,
( ~ spl77_14
| spl77_25
| ~ spl77_36 ),
inference(avatar_split_clause,[],[f1030,f1021,f969,f914]) ).
fof(f914,plain,
( spl77_14
<=> aElementOf0(sK41,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_14])]) ).
fof(f969,plain,
( spl77_25
<=> aElementOf0(sK41,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_25])]) ).
fof(f1021,plain,
( spl77_36
<=> ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,sK39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_36])]) ).
fof(f1030,plain,
( ~ aElementOf0(sK41,sK39)
| spl77_25
| ~ spl77_36 ),
inference(resolution,[],[f1022,f971]) ).
fof(f971,plain,
( ~ aElementOf0(sK41,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| spl77_25 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f1022,plain,
( ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,sK39) )
| ~ spl77_36 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1046,plain,
spl77_40,
inference(avatar_split_clause,[],[f557,f1043]) ).
fof(f1043,plain,
( spl77_40
<=> szNzAzT0 = szDzozmdt0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_40])]) ).
fof(f557,plain,
szNzAzT0 = szDzozmdt0(xN),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ( ~ aElementOf0(sK46(X0),szNzAzT0)
& aElementOf0(sK46(X0),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f235,f316]) ).
fof(f316,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
=> ( ~ aElementOf0(sK46(X0),szNzAzT0)
& aElementOf0(sK46(X0),sdtlpdtrp0(xN,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ! [X0] :
( sP10(X0)
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(definition_folding,[],[f112,f234,f233]) ).
fof(f233,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f234,plain,
! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& sP9(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f112,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
( ! [X0] :
( ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ isCountable0(sdtlpdtrp0(xN,X0))
| ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
& ( ? [X1] :
( ~ aElementOf0(X1,szNzAzT0)
& aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
| ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
| ~ aElementOf0(X0,szNzAzT0) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
inference(rectify,[],[f81]) ).
fof(f81,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ( isCountable0(sdtlpdtrp0(xN,X0))
& ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
| ( ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> aElementOf0(X1,szNzAzT0) )
& aSet0(sdtlpdtrp0(xN,X0)) ) ) )
=> ( isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
=> aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) ) )
& xS = sdtlpdtrp0(xN,sz00)
& szNzAzT0 = szDzozmdt0(xN)
& aFunction0(xN) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
fof(f1041,plain,
spl77_39,
inference(avatar_split_clause,[],[f542,f1038]) ).
fof(f1038,plain,
( spl77_39
<=> szNzAzT0 = szDzozmdt0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_39])]) ).
fof(f542,plain,
szNzAzT0 = szDzozmdt0(xC),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ! [X0] :
( sP8(X0)
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(definition_folding,[],[f110,f231,f230,f229,f228,f227,f226,f225,f224,f223]) ).
fof(f223,plain,
! [X7,X0] :
( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| ~ sP0(X7,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f224,plain,
! [X0] :
( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f225,plain,
! [X1,X0] :
( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) )
| ~ sP2(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f226,plain,
! [X0,X1] :
( ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f227,plain,
! [X0,X1] :
( ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& sP2(X1,X0)
& sP1(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f228,plain,
! [X0] :
( ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f229,plain,
! [X0] :
( ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& sP0(X7,X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& sP3(X0,X1)
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| sP4(X0,X1)
| ~ aSet0(X1) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f231,plain,
! [X0] :
( ( sP7(X0)
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& sP6(X0)
& sP5(X0)
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f110,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
( ! [X0] :
( ( ! [X1] :
( ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ( ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ( sbrdtbr0(X1) != xk
| ( ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X4] :
( ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X4,X1) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
| ~ aSet0(X1) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
| xk != sbrdtbr0(X7)
| ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ( ? [X8] :
( ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X8,X7) )
| ~ aSet0(X7) ) ) )
& ( ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X9,X7) )
& aSet0(X7) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11)
| ~ aElementOf0(X11,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) )
| ~ aElementOf0(X0,szNzAzT0) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,plain,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X4] :
( aElementOf0(X4,X1)
=> aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( aElementOf0(X5,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X5
| aElementOf0(X5,X1) )
& aElement0(X5) ) )
& ! [X6] :
( aElementOf0(X6,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X7] :
( ( ( xk = sbrdtbr0(X7)
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
=> aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( xk = sbrdtbr0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( aElementOf0(X9,X7)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X7) ) ) )
& ! [X10] :
( aElementOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X10
& aElementOf0(X10,sdtlpdtrp0(xN,X0))
& aElement0(X10) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X11] :
( aElementOf0(X11,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
inference(rectify,[],[f86]) ).
fof(f86,axiom,
( ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( ! [X1] :
( ( ( ( ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) )
& aSet0(X1) )
=> ( sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = X2
| aElementOf0(X2,X1) )
& aElement0(X2) ) )
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) ) )
& slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk) = szDzozmdt0(sdtlpdtrp0(xC,X0))
& ! [X1] :
( ( ( sbrdtbr0(X1) = xk
& ( aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
=> aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0))) )
& ( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X0)))
=> ( sbrdtbr0(X1) = xk
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1) ) ) )
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
& aElementOf0(X1,sdtlpdtrp0(xN,X0))
& aElement0(X1) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X1] :
( aElementOf0(X1,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aFunction0(sdtlpdtrp0(xC,X0)) ) )
& szNzAzT0 = szDzozmdt0(xC)
& aFunction0(xC) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4151) ).
fof(f1035,plain,
spl77_38,
inference(avatar_split_clause,[],[f475,f1033]) ).
fof(f1033,plain,
( spl77_38
<=> ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_38])]) ).
fof(f475,plain,
! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ~ aElementOf0(sK40,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(sK40,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ~ aElementOf0(sK41,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(sK41,sK40)
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(sK40,slbdtsldtrb0(sK39,xk))
& xk = sbrdtbr0(sK40)
& aSubsetOf0(sK40,sK39)
& ! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,sK40) )
& aSet0(sK40)
& isCountable0(sK39)
& aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,sK39) )
& aSet0(sK39)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK38))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(sK38,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41])],[f276,f280,f279,f278,f277]) ).
fof(f277,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) )
=> ( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK38))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38)) )
& aElementOf0(sK38,szNzAzT0) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK38))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38)) )
=> ( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(X2,slbdtsldtrb0(sK39,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sK39)
& ! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(sK39)
& aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,sK39) )
& aSet0(sK39)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,sK38))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38)) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(X2,slbdtsldtrb0(sK39,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,sK39)
& ! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
=> ( ~ aElementOf0(sK40,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk))
& ~ aSubsetOf0(sK40,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,sK40) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| szmzizndt0(sdtlpdtrp0(xN,sK38)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,sK38))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,sK38))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38))
& aElementOf0(sK40,slbdtsldtrb0(sK39,xk))
& xk = sbrdtbr0(sK40)
& aSubsetOf0(sK40,sK39)
& ! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,sK40) )
& aSet0(sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(X3,sK40) )
=> ( ~ aElementOf0(sK41,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
& aElementOf0(sK41,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f276,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X3] :
( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X3,X2) )
& ! [X4] :
( ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X4
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0))
| ~ aElement0(X4) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X4
& aElementOf0(X4,sdtlpdtrp0(xN,X0))
& aElement0(X4) )
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X2) )
& aSet0(X2) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X7,X1) )
& aSet0(X1)
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X9] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X9)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( ( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X8
| ~ aElementOf0(X8,sdtlpdtrp0(xN,X0))
| ~ aElement0(X8) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) )
| ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
| ~ aElement0(X3) )
& ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) )
| ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f105]) ).
fof(f105,plain,
? [X0] :
( ? [X1] :
( ? [X5] :
( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ? [X9] :
( ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& aElementOf0(X9,X5) )
& ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X7] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
& aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X1)
| ~ aElementOf0(X6,X5) )
& aSet0(X5) )
& isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ~ aElementOf0(X2,X1) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
| ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
& aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,plain,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X4] :
( aElementOf0(X4,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X5] :
( ( aElementOf0(X5,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X5) = xk
& aSubsetOf0(X5,X1)
& ! [X6] :
( aElementOf0(X6,X5)
=> aElementOf0(X6,X1) )
& aSet0(X5) )
=> ( ( ! [X7] :
( aElementOf0(X7,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X7) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X8] :
( aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X8
& aElementOf0(X8,sdtlpdtrp0(xN,X0))
& aElement0(X8) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X9] :
( aElementOf0(X9,X5)
=> aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(rectify,[],[f89]) ).
fof(f89,negated_conjecture,
~ ! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f88]) ).
fof(f88,conjecture,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( ( isCountable0(X1)
& aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
& aSet0(X1)
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
& aElementOf0(X2,sdtlpdtrp0(xN,X0))
& aElement0(X2) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X2) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xk))
& sbrdtbr0(X2) = xk
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0)) )
=> ( ( ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
<=> ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
& aElementOf0(X3,sdtlpdtrp0(xN,X0))
& aElement0(X3) ) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
=> ( aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
| ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f1028,plain,
~ spl77_37,
inference(avatar_split_clause,[],[f805,f1025]) ).
fof(f1025,plain,
( spl77_37
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_37])]) ).
fof(f805,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
! [X4] :
( szmzizndt0(sdtlpdtrp0(xN,sK38)) != X4
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
inference(cnf_transformation,[],[f281]) ).
fof(f1023,plain,
spl77_36,
inference(avatar_split_clause,[],[f463,f1021]) ).
fof(f463,plain,
! [X7] :
( aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))))
| ~ aElementOf0(X7,sK39) ),
inference(cnf_transformation,[],[f281]) ).
fof(f1019,plain,
spl77_35,
inference(avatar_split_clause,[],[f831,f1017]) ).
fof(f1017,plain,
( spl77_35
<=> ! [X2] : ~ aElementOf0(X2,slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_35])]) ).
fof(f831,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f740]) ).
fof(f740,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f419]) ).
fof(f419,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK70(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f417,f418]) ).
fof(f418,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK70(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f417,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f416]) ).
fof(f416,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f415]) ).
fof(f415,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
fof(f1015,plain,
spl77_34,
inference(avatar_split_clause,[],[f650,f1012]) ).
fof(f1012,plain,
( spl77_34
<=> aElementOf0(sz00,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_34])]) ).
fof(f650,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f1010,plain,
spl77_33,
inference(avatar_split_clause,[],[f568,f1007]) ).
fof(f1007,plain,
( spl77_33
<=> aElementOf0(xk,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_33])]) ).
fof(f568,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf_transformation,[],[f80]) ).
fof(f80,axiom,
( xK = szszuzczcdt0(xk)
& aElementOf0(xk,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
fof(f1005,plain,
spl77_32,
inference(avatar_split_clause,[],[f566,f1002]) ).
fof(f1002,plain,
( spl77_32
<=> aSubsetOf0(xS,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_32])]) ).
fof(f566,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
fof(f1000,plain,
spl77_31,
inference(avatar_split_clause,[],[f484,f997]) ).
fof(f997,plain,
( spl77_31
<=> aElementOf0(xK,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_31])]) ).
fof(f484,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
fof(f995,plain,
~ spl77_30,
inference(avatar_split_clause,[],[f482,f992]) ).
fof(f992,plain,
( spl77_30
<=> sz00 = xK ),
introduced(avatar_definition,[new_symbols(naming,[spl77_30])]) ).
fof(f482,plain,
sz00 != xK,
inference(cnf_transformation,[],[f78]) ).
fof(f78,axiom,
sz00 != xK,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3462) ).
fof(f990,plain,
~ spl77_29,
inference(avatar_split_clause,[],[f481,f987]) ).
fof(f987,plain,
( spl77_29
<=> aElementOf0(sK40,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_29])]) ).
fof(f481,plain,
~ aElementOf0(sK40,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38))),xk)),
inference(cnf_transformation,[],[f281]) ).
fof(f985,plain,
spl77_28,
inference(avatar_split_clause,[],[f474,f983]) ).
fof(f983,plain,
( spl77_28
<=> ! [X4] :
( aElement0(X4)
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_28])]) ).
fof(f474,plain,
! [X4] :
( aElement0(X4)
| ~ aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
inference(cnf_transformation,[],[f281]) ).
fof(f981,plain,
spl77_27,
inference(avatar_split_clause,[],[f472,f979]) ).
fof(f979,plain,
( spl77_27
<=> ! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_27])]) ).
fof(f472,plain,
! [X5] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,sK38)),X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,sK38)) ),
inference(cnf_transformation,[],[f281]) ).
fof(f977,plain,
~ spl77_26,
inference(avatar_split_clause,[],[f480,f974]) ).
fof(f974,plain,
( spl77_26
<=> aSubsetOf0(sK40,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_26])]) ).
fof(f480,plain,
~ aSubsetOf0(sK40,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))),
inference(cnf_transformation,[],[f281]) ).
fof(f972,plain,
~ spl77_25,
inference(avatar_split_clause,[],[f479,f969]) ).
fof(f479,plain,
~ aElementOf0(sK41,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))),
inference(cnf_transformation,[],[f281]) ).
fof(f967,plain,
spl77_24,
inference(avatar_split_clause,[],[f464,f964]) ).
fof(f964,plain,
( spl77_24
<=> aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_24])]) ).
fof(f464,plain,
aSubsetOf0(sK39,sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))),
inference(cnf_transformation,[],[f281]) ).
fof(f962,plain,
spl77_23,
inference(avatar_split_clause,[],[f473,f959]) ).
fof(f959,plain,
( spl77_23
<=> aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_23])]) ).
fof(f473,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,sK38),szmzizndt0(sdtlpdtrp0(xN,sK38)))),
inference(cnf_transformation,[],[f281]) ).
fof(f957,plain,
spl77_22,
inference(avatar_split_clause,[],[f832,f954]) ).
fof(f954,plain,
( spl77_22
<=> aSet0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_22])]) ).
fof(f832,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f739]) ).
fof(f739,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f419]) ).
fof(f952,plain,
spl77_21,
inference(avatar_split_clause,[],[f653,f949]) ).
fof(f949,plain,
( spl77_21
<=> isCountable0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_21])]) ).
fof(f653,plain,
isCountable0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f947,plain,
spl77_20,
inference(avatar_split_clause,[],[f652,f944]) ).
fof(f944,plain,
( spl77_20
<=> aSet0(szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_20])]) ).
fof(f652,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f942,plain,
spl77_19,
inference(avatar_split_clause,[],[f649,f939]) ).
fof(f939,plain,
( spl77_19
<=> isFinite0(slcrc0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_19])]) ).
fof(f649,plain,
isFinite0(slcrc0),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
fof(f937,plain,
spl77_18,
inference(avatar_split_clause,[],[f567,f934]) ).
fof(f934,plain,
( spl77_18
<=> isCountable0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_18])]) ).
fof(f567,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f113]) ).
fof(f932,plain,
spl77_17,
inference(avatar_split_clause,[],[f564,f929]) ).
fof(f929,plain,
( spl77_17
<=> aSet0(xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_17])]) ).
fof(f564,plain,
aSet0(xS),
inference(cnf_transformation,[],[f113]) ).
fof(f927,plain,
spl77_16,
inference(avatar_split_clause,[],[f563,f924]) ).
fof(f924,plain,
( spl77_16
<=> isFinite0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_16])]) ).
fof(f563,plain,
isFinite0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3291) ).
fof(f922,plain,
spl77_15,
inference(avatar_split_clause,[],[f562,f919]) ).
fof(f919,plain,
( spl77_15
<=> aSet0(xT) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_15])]) ).
fof(f562,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f917,plain,
( spl77_14
| ~ spl77_6
| ~ spl77_9 ),
inference(avatar_split_clause,[],[f892,f889,f874,f914]) ).
fof(f874,plain,
( spl77_6
<=> aElementOf0(sK41,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_6])]) ).
fof(f889,plain,
( spl77_9
<=> ! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,sK40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_9])]) ).
fof(f892,plain,
( aElementOf0(sK41,sK39)
| ~ spl77_6
| ~ spl77_9 ),
inference(resolution,[],[f890,f876]) ).
fof(f876,plain,
( aElementOf0(sK41,sK40)
| ~ spl77_6 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f890,plain,
( ! [X6] :
( ~ aElementOf0(X6,sK40)
| aElementOf0(X6,sK39) )
| ~ spl77_9 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f912,plain,
spl77_13,
inference(avatar_split_clause,[],[f556,f909]) ).
fof(f909,plain,
( spl77_13
<=> aFunction0(xN) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_13])]) ).
fof(f556,plain,
aFunction0(xN),
inference(cnf_transformation,[],[f317]) ).
fof(f907,plain,
spl77_12,
inference(avatar_split_clause,[],[f541,f904]) ).
fof(f904,plain,
( spl77_12
<=> aFunction0(xC) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_12])]) ).
fof(f541,plain,
aFunction0(xC),
inference(cnf_transformation,[],[f232]) ).
fof(f902,plain,
spl77_11,
inference(avatar_split_clause,[],[f485,f899]) ).
fof(f899,plain,
( spl77_11
<=> aFunction0(xc) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_11])]) ).
fof(f485,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ( sdtlpdtrp0(xc,sK42(X1)) = X1
& aElementOf0(sK42(X1),szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ( ~ aElementOf0(sK43(X4),xS)
& aElementOf0(sK43(X4),X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42,sK43])],[f283,f285,f284]) ).
fof(f284,plain,
! [X1] :
( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
=> ( sdtlpdtrp0(xc,sK42(X1)) = X1
& aElementOf0(sK42(X1),szDzozmdt0(xc)) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
! [X4] :
( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
=> ( ~ aElementOf0(sK43(X4),xS)
& aElementOf0(sK43(X4),X4) ) ),
introduced(choice_axiom,[]) ).
fof(f283,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X3] :
( sdtlpdtrp0(xc,X3) = X1
& aElementOf0(X3,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X4] :
( ( aElementOf0(X4,szDzozmdt0(xc))
| xK != sbrdtbr0(X4)
| ( ~ aSubsetOf0(X4,xS)
& ( ? [X5] :
( ~ aElementOf0(X5,xS)
& aElementOf0(X5,X4) )
| ~ aSet0(X4) ) ) )
& ( ( xK = sbrdtbr0(X4)
& aSubsetOf0(X4,xS)
& ! [X6] :
( aElementOf0(X6,xS)
| ~ aElementOf0(X6,X4) )
& aSet0(X4) )
| ~ aElementOf0(X4,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(rectify,[],[f282]) ).
fof(f282,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( ( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ! [X2] :
( sdtlpdtrp0(xc,X2) != X1
| ~ aElementOf0(X2,szDzozmdt0(xc)) ) )
& ( ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) )
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,xT)
| ~ aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( aElementOf0(X3,szDzozmdt0(xc))
| sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xS)
& ( ? [X4] :
( ~ aElementOf0(X4,xS)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) )
& ( ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,xS)
| ~ aElementOf0(X5,X3) )
& aSet0(X3) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) ) )
& aFunction0(xc) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,plain,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( sdtlpdtrp0(xc,X2) = X1
& aElementOf0(X2,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X3] :
( ( ( sbrdtbr0(X3) = xK
& ( aSubsetOf0(X3,xS)
| ( ! [X4] :
( aElementOf0(X4,X3)
=> aElementOf0(X4,xS) )
& aSet0(X3) ) ) )
=> aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(X3,szDzozmdt0(xc))
=> ( sbrdtbr0(X3) = xK
& aSubsetOf0(X3,xS)
& ! [X5] :
( aElementOf0(X5,X3)
=> aElementOf0(X5,xS) )
& aSet0(X3) ) ) )
& aFunction0(xc) ),
inference(rectify,[],[f76]) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X0,xT) )
& ! [X0] :
( aElementOf0(X0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X1] :
( sdtlpdtrp0(xc,X1) = X0
& aElementOf0(X1,szDzozmdt0(xc)) ) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& ! [X0] :
( ( ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xS)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
=> aElementOf0(X0,szDzozmdt0(xc)) )
& ( aElementOf0(X0,szDzozmdt0(xc))
=> ( sbrdtbr0(X0) = xK
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSet0(X0) ) ) )
& aFunction0(xc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
fof(f897,plain,
spl77_10,
inference(avatar_split_clause,[],[f471,f894]) ).
fof(f894,plain,
( spl77_10
<=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_10])]) ).
fof(f471,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,sK38)),sdtlpdtrp0(xN,sK38)),
inference(cnf_transformation,[],[f281]) ).
fof(f891,plain,
spl77_9,
inference(avatar_split_clause,[],[f467,f889]) ).
fof(f467,plain,
! [X6] :
( aElementOf0(X6,sK39)
| ~ aElementOf0(X6,sK40) ),
inference(cnf_transformation,[],[f281]) ).
fof(f887,plain,
spl77_8,
inference(avatar_split_clause,[],[f470,f884]) ).
fof(f884,plain,
( spl77_8
<=> aElementOf0(sK40,slbdtsldtrb0(sK39,xk)) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_8])]) ).
fof(f470,plain,
aElementOf0(sK40,slbdtsldtrb0(sK39,xk)),
inference(cnf_transformation,[],[f281]) ).
fof(f882,plain,
spl77_7,
inference(avatar_split_clause,[],[f469,f879]) ).
fof(f879,plain,
( spl77_7
<=> xk = sbrdtbr0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_7])]) ).
fof(f469,plain,
xk = sbrdtbr0(sK40),
inference(cnf_transformation,[],[f281]) ).
fof(f877,plain,
spl77_6,
inference(avatar_split_clause,[],[f478,f874]) ).
fof(f478,plain,
aElementOf0(sK41,sK40),
inference(cnf_transformation,[],[f281]) ).
fof(f872,plain,
spl77_5,
inference(avatar_split_clause,[],[f468,f869]) ).
fof(f869,plain,
( spl77_5
<=> aSubsetOf0(sK40,sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_5])]) ).
fof(f468,plain,
aSubsetOf0(sK40,sK39),
inference(cnf_transformation,[],[f281]) ).
fof(f867,plain,
spl77_4,
inference(avatar_split_clause,[],[f454,f864]) ).
fof(f864,plain,
( spl77_4
<=> aElementOf0(sK38,szNzAzT0) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_4])]) ).
fof(f454,plain,
aElementOf0(sK38,szNzAzT0),
inference(cnf_transformation,[],[f281]) ).
fof(f862,plain,
spl77_3,
inference(avatar_split_clause,[],[f466,f859]) ).
fof(f859,plain,
( spl77_3
<=> aSet0(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_3])]) ).
fof(f466,plain,
aSet0(sK40),
inference(cnf_transformation,[],[f281]) ).
fof(f857,plain,
spl77_2,
inference(avatar_split_clause,[],[f465,f854]) ).
fof(f854,plain,
( spl77_2
<=> isCountable0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_2])]) ).
fof(f465,plain,
isCountable0(sK39),
inference(cnf_transformation,[],[f281]) ).
fof(f852,plain,
spl77_1,
inference(avatar_split_clause,[],[f462,f849]) ).
fof(f849,plain,
( spl77_1
<=> aSet0(sK39) ),
introduced(avatar_definition,[new_symbols(naming,[spl77_1])]) ).
fof(f462,plain,
aSet0(sK39),
inference(cnf_transformation,[],[f281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : NUM588+3 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n007.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 15:03:52 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (24441)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (24443)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (24444)WARNING: value z3 for option sas not known
% 0.11/0.35 % (24446)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)
% 0.11/0.35 % (24448)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)
% 0.11/0.35 % (24445)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (24444)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)
% 0.11/0.35 % (24442)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (24447)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)
% 0.11/0.36 % (24446)First to succeed.
% 0.16/0.36 % (24447)Also succeeded, but the first one will report.
% 0.16/0.37 % (24446)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24441"
% 0.16/0.37 % (24446)Refutation found. Thanks to Tanya!
% 0.16/0.37 % SZS status Theorem for theBenchmark
% 0.16/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37 % (24446)------------------------------
% 0.16/0.37 % (24446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.37 % (24446)Termination reason: Refutation
% 0.16/0.37
% 0.16/0.37 % (24446)Memory used [KB]: 1515
% 0.16/0.37 % (24446)Time elapsed: 0.023 s
% 0.16/0.37 % (24446)Instructions burned: 43 (million)
% 0.16/0.37 % (24441)Success in time 0.044 s
%------------------------------------------------------------------------------