TSTP Solution File: NUM585+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM585+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n033.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.625MB
% OS : Linux 3.10.0-693.2.2.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Jan 8 15:21:53 EST 2018
% Result : Theorem 95.94s
% Output : CNFRefutation 95.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 86 ( 17 unt; 0 def)
% Number of atoms : 2094 ( 18 equ)
% Maximal formula atoms : 693 ( 24 avg)
% Number of connectives : 3166 (1158 ~;1310 |; 630 &)
% ( 13 <=>; 55 =>; 0 <=; 0 <~>)
% Maximal formula depth : 133 ( 9 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 10 con; 0-2 aty)
% Number of variables : 234 ( 0 sgn 186 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2',m__4151) ).
fof(15,conjecture,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
file('/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2',m__) ).
fof(65,axiom,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& equal(sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))),xK)
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
file('/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2',m__3965) ).
fof(76,axiom,
! [X1] :
( aFunction0(X1)
=> ! [X2] :
( aElementOf0(X2,szDzozmdt0(X1))
=> aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
file('/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2',mImgRng) ).
fof(81,axiom,
( aFunction0(xc)
& ! [X1] :
( ( aElementOf0(X1,szDzozmdt0(xc))
=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) ) )
| aSubsetOf0(X1,xS) )
& equal(sbrdtbr0(X1),xK) )
=> aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ! [X1] :
( aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2',m__3453) ).
fof(88,negated_conjecture,
~ ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> ( ( aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
<=> ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) ) ) )
=> ( ! [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
=> aElementOf0(X2,xT) )
| aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ) ) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(94,plain,
! [X1] :
( epred1_1(X1)
=> ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ! [X2] :
( ( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
=> aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ),
introduced(definition) ).
fof(95,plain,
! [X1] :
( epred2_1(X1)
=> ! [X2] :
( ( aSet0(X2)
& ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
=> ( ( ( ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& equal(sbrdtbr0(X2),xk) )
| aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ) ) ) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( aElementOf0(X3,sdtlpdtrp0(xN,X1))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
<=> ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& ! [X3] :
( aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
=> aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& equal(sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))),xK)
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
introduced(definition) ).
fof(96,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ) ),
inference(apply_def,[status(esa)],[3,94,theory(equality)]) ).
fof(97,plain,
! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred2_1(X1) ),
inference(apply_def,[status(esa)],[65,95,theory(equality)]) ).
fof(111,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| epred1_1(X1) ) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(112,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) ) ),
inference(variable_rename,[status(thm)],[111]) ).
fof(113,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) )
& aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[112]) ).
cnf(116,plain,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[113]) ).
fof(177,negated_conjecture,
? [X1] :
( aElementOf0(X1,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
| ? [X3] :
( aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) ) )
& ( ! [X3] :
( ~ aElementOf0(X3,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X3),X2) )
| aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1)))) ) )
& ? [X2] :
( aElementOf0(X2,sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))))
& ~ aElementOf0(X2,xT) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X1),szDzozmdt0(sdtlpdtrp0(xC,X1))),xT) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(178,negated_conjecture,
? [X4] :
( aElementOf0(X4,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,X4),szDzozmdt0(sdtlpdtrp0(xC,X4))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,X4),szDzozmdt0(sdtlpdtrp0(xC,X4))))
| ? [X6] :
( aElementOf0(X6,szDzozmdt0(sdtlpdtrp0(xC,X4)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X6),X5) ) )
& ( ! [X7] :
( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X7),X5) )
| aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,X4),szDzozmdt0(sdtlpdtrp0(xC,X4)))) ) )
& ? [X8] :
( aElementOf0(X8,sdtlcdtrc0(sdtlpdtrp0(xC,X4),szDzozmdt0(sdtlpdtrp0(xC,X4))))
& ~ aElementOf0(X8,xT) )
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,X4),szDzozmdt0(sdtlpdtrp0(xC,X4))),xT) ),
inference(variable_rename,[status(thm)],[177]) ).
fof(179,negated_conjecture,
( aElementOf0(esk6_0,szNzAzT0)
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
| ( aElementOf0(esk7_1(X5),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(X5)),X5) ) )
& ( ! [X7] :
( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),X7),X5) )
| aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) ) )
& aElementOf0(esk8_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& ~ aElementOf0(esk8_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))),xT) ),
inference(skolemize,[status(esa)],[178]) ).
fof(180,negated_conjecture,
! [X5,X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),X7),X5)
| aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) )
& ( ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
| ( aElementOf0(esk7_1(X5),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(X5)),X5) ) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& aElementOf0(esk8_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& ~ aElementOf0(esk8_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))),xT)
& aElementOf0(esk6_0,szNzAzT0) ),
inference(shift_quantors,[status(thm)],[179]) ).
fof(181,negated_conjecture,
! [X5,X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),X7),X5)
| aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) )
& ( aElementOf0(esk7_1(X5),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
| ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) )
& ( equal(sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(X5)),X5)
| ~ aElementOf0(X5,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) )
& aSet0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& aElementOf0(esk8_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))))
& ~ aElementOf0(esk8_0,xT)
& ~ aSubsetOf0(sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))),xT)
& aElementOf0(esk6_0,szNzAzT0) ),
inference(distribute,[status(thm)],[180]) ).
cnf(182,negated_conjecture,
aElementOf0(esk6_0,szNzAzT0),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(184,negated_conjecture,
~ aElementOf0(esk8_0,xT),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(185,negated_conjecture,
aElementOf0(esk8_0,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(187,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(X1)) = X1
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) ),
inference(split_conjunct,[status(thm)],[181]) ).
cnf(188,negated_conjecture,
( aElementOf0(esk7_1(X1),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))
| ~ aElementOf0(X1,sdtlcdtrc0(sdtlpdtrp0(xC,esk6_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0)))) ),
inference(split_conjunct,[status(thm)],[181]) ).
fof(466,plain,
! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| epred2_1(X1) ),
inference(fof_nnf,[status(thm)],[97]) ).
fof(467,plain,
! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| epred2_1(X2) ),
inference(variable_rename,[status(thm)],[466]) ).
cnf(468,plain,
( epred2_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[467]) ).
fof(500,plain,
! [X1] :
( ~ aFunction0(X1)
| ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(X1))
| aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1))) ) ),
inference(fof_nnf,[status(thm)],[76]) ).
fof(501,plain,
! [X3] :
( ~ aFunction0(X3)
| ! [X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3))) ) ),
inference(variable_rename,[status(thm)],[500]) ).
fof(502,plain,
! [X3,X4] :
( ~ aElementOf0(X4,szDzozmdt0(X3))
| aElementOf0(sdtlpdtrp0(X3,X4),sdtlcdtrc0(X3,szDzozmdt0(X3)))
| ~ aFunction0(X3) ),
inference(shift_quantors,[status(thm)],[501]) ).
cnf(503,plain,
( aElementOf0(sdtlpdtrp0(X1,X2),sdtlcdtrc0(X1,szDzozmdt0(X1)))
| ~ aFunction0(X1)
| ~ aElementOf0(X2,szDzozmdt0(X1)) ),
inference(split_conjunct,[status(thm)],[502]) ).
fof(4493,plain,
( aFunction0(xc)
& ! [X1] :
( ( ~ aElementOf0(X1,szDzozmdt0(xc))
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,xS) )
& aSubsetOf0(X1,xS)
& equal(sbrdtbr0(X1),xK) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) ) )
& ~ aSubsetOf0(X1,xS) )
| ~ equal(sbrdtbr0(X1),xK)
| aElementOf0(X1,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X2] :
( aElementOf0(X2,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X2),X1) ) )
& ( ! [X2] :
( ~ aElementOf0(X2,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X2),X1) )
| aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X1] :
( ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X1,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(4494,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ? [X5] :
( aElementOf0(X5,X3)
& ~ aElementOf0(X5,xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ? [X7] :
( aElementOf0(X7,szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,X7),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(variable_rename,[status(thm)],[4493]) ).
fof(4495,plain,
( aFunction0(xc)
& ! [X3] :
( ( ~ aElementOf0(X3,szDzozmdt0(xc))
| ( aSet0(X3)
& ! [X4] :
( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk32_1(X3),X3)
& ~ aElementOf0(esk32_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) ) )
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk33_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk33_1(X6)),X6) ) )
& ( ! [X8] :
( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6) )
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) ) )
& ! [X9] :
( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(skolemize,[status(esa)],[4494]) ).
fof(4496,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ( aElementOf0(esk33_1(X6),szDzozmdt0(xc))
& equal(sdtlpdtrp0(xc,esk33_1(X6)),X6) ) )
& ( ( ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS) )
& aSet0(X3)
& aSubsetOf0(X3,xS)
& equal(sbrdtbr0(X3),xK) )
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk32_1(X3),X3)
& ~ aElementOf0(esk32_1(X3),xS) ) )
& ~ aSubsetOf0(X3,xS) )
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(shift_quantors,[status(thm)],[4495]) ).
fof(4497,plain,
! [X3,X4,X6,X8,X9] :
( ( ~ aElementOf0(X9,sdtlcdtrc0(xc,szDzozmdt0(xc)))
| aElementOf0(X9,xT) )
& ( ~ aElementOf0(X8,szDzozmdt0(xc))
| ~ equal(sdtlpdtrp0(xc,X8),X6)
| aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( aElementOf0(esk33_1(X6),szDzozmdt0(xc))
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( equal(sdtlpdtrp0(xc,esk33_1(X6)),X6)
| ~ aElementOf0(X6,sdtlcdtrc0(xc,szDzozmdt0(xc))) )
& ( ~ aElementOf0(X4,X3)
| aElementOf0(X4,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSet0(X3)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aSubsetOf0(X3,xS)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( equal(sbrdtbr0(X3),xK)
| ~ aElementOf0(X3,szDzozmdt0(xc)) )
& ( aElementOf0(esk32_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aElementOf0(esk32_1(X3),xS)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& ( ~ aSubsetOf0(X3,xS)
| ~ equal(sbrdtbr0(X3),xK)
| aElementOf0(X3,szDzozmdt0(xc)) )
& aFunction0(xc)
& equal(szDzozmdt0(xc),slbdtsldtrb0(xS,xK))
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
inference(distribute,[status(thm)],[4496]) ).
cnf(4501,plain,
aFunction0(xc),
inference(split_conjunct,[status(thm)],[4497]) ).
cnf(4502,plain,
( aElementOf0(X1,szDzozmdt0(xc))
| sbrdtbr0(X1) != xK
| ~ aSubsetOf0(X1,xS) ),
inference(split_conjunct,[status(thm)],[4497]) ).
cnf(4512,plain,
( aElementOf0(X1,xT)
| ~ aElementOf0(X1,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(split_conjunct,[status(thm)],[4497]) ).
fof(4541,plain,
! [X1] :
( ~ epred1_1(X1)
| ( aFunction0(sdtlpdtrp0(xC,X1))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,X1))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,X1))
| equal(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1)))
| ( aSet0(X2)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& equal(sbrdtbr0(X2),xk) ) )
& ( ( ( ~ aSet0(X2)
| ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ equal(sbrdtbr0(X2),xk)
| aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X1)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk))
& ! [X2] :
( ~ aSet0(X2)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X2)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) )
| aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2),sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))) ) ) ) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(4542,plain,
! [X4] :
( ~ epred1_1(X4)
| ( aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) ) )
& ( ( ( ~ aSet0(X7)
| ? [X9] :
( aElementOf0(X9,X7)
& ~ aElementOf0(X9,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ! [X10] :
( ~ aSet0(X10)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X11] :
( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X12] :
( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( ? [X13] :
( aElementOf0(X13,X10)
& ~ aElementOf0(X13,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X14] :
( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& ! [X15] :
( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) ) ) ) ),
inference(variable_rename,[status(thm)],[4541]) ).
fof(4543,plain,
! [X4] :
( ~ epred1_1(X4)
| ( aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X5] :
( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X7] :
( ( ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ( aSet0(X7)
& ! [X8] :
( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) ) )
& ( ( ( ~ aSet0(X7)
| ( aElementOf0(esk35_2(X4,X7),X7)
& ~ aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) ) )
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ! [X10] :
( ~ aSet0(X10)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X11] :
( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X12] :
( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( aElementOf0(esk36_2(X4,X10),X10)
& ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X14] :
( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& ! [X15] :
( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) ) ) ) ),
inference(skolemize,[status(esa)],[4542]) ).
fof(4544,plain,
! [X4,X5,X6,X7,X8,X10,X11,X12,X14,X15] :
( ( ( ( ( ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X15)
& ( aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X15)
| ( ~ aElementOf0(X15,X10)
& ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ( ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))) )
| ( ( ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X12)
& aElementOf0(X12,sdtlpdtrp0(xN,X4))
& ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ( ( aElementOf0(esk36_2(X4,X10),X10)
& ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X10),xk) )
& ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)) )
| ~ aSet0(X10) )
& ( ( ( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSet0(X7)
& aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(sbrdtbr0(X7),xk) )
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) )
& ( ( ( ~ aSet0(X7)
| ( aElementOf0(esk35_2(X4,X7),X7)
& ~ aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4))) )
& ( ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X6)
& aElementOf0(X6,sdtlpdtrp0(xN,X4))
& ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5) )
& aFunction0(sdtlpdtrp0(xC,X4))
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ~ epred1_1(X4) ),
inference(shift_quantors,[status(thm)],[4543]) ).
fof(4545,plain,
! [X4,X5,X6,X7,X8,X10,X11,X12,X14,X15] :
( ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElementOf0(X15,X10)
| equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ aElementOf0(X15,X10)
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ equal(X15,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X15)
| aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| ~ aElementOf0(X14,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X14)
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aElement0(X12)
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(X12,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X12)
| ~ aElementOf0(X12,sdtlpdtrp0(xN,X4))
| equal(X12,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X12,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(esk36_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk36_2(X4,X10),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X10,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X10,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X11,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X11)
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X10)
| equal(sdtlpdtrp0(sdtlpdtrp0(xC,X4),X10),sdtlpdtrp0(xc,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X8,X7)
| aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aSet0(X7)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( equal(sbrdtbr0(X7),xk)
| ~ aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aElementOf0(esk35_2(X4,X7),X7)
| ~ aSet0(X7)
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_2(X4,X7),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X7)
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aSubsetOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( aElementOf0(X6,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| equal(X6,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(X5,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X5)
| ~ epred1_1(X4) )
& ( aFunction0(sdtlpdtrp0(xC,X4))
| ~ epred1_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( equal(szDzozmdt0(sdtlpdtrp0(xC,X4)),slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ epred1_1(X4) ) ),
inference(distribute,[status(thm)],[4544]) ).
cnf(4546,plain,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[4545]) ).
cnf(4560,plain,
( aSet0(X2)
| ~ epred1_1(X1)
| ~ aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,X1))) ),
inference(split_conjunct,[status(thm)],[4545]) ).
cnf(4564,plain,
( sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2) = sdtlpdtrp0(xc,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ~ epred1_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[4545]) ).
fof(4639,plain,
! [X1] :
( ~ epred2_1(X1)
| ! [X2] :
( ~ aSet0(X2)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& aElementOf0(X3,sdtlpdtrp0(xN,X1))
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1)))
| aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ( ( ? [X3] :
( aElementOf0(X3,X2)
& ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
& ~ aSubsetOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1)))) )
| ~ equal(sbrdtbr0(X2),xk) )
& ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X1)),sdtlpdtrp0(xN,X1))
& ! [X3] :
( ~ aElementOf0(X3,sdtlpdtrp0(xN,X1))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X1)),X3) )
& aSet0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| ( aElement0(X3)
& ( aElementOf0(X3,X2)
| equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,X2)
& ~ equal(X3,szmzizndt0(sdtlpdtrp0(xN,X1))) )
| aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) ) )
& ! [X3] :
( ~ aElementOf0(X3,sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))))
| aElementOf0(X3,xS) )
& aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
& equal(sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))),xK)
& aElementOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(4640,plain,
! [X4] :
( ~ epred2_1(X4)
| ! [X5] :
( ~ aSet0(X5)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X7] :
( ( ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X7)
& aElementOf0(X7,sdtlpdtrp0(xN,X4))
& ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( ? [X8] :
( aElementOf0(X8,X5)
& ~ aElementOf0(X8,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9) )
& aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X10] :
( ( ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X10)
& ( aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X10)
| ( ~ aElementOf0(X10,X5)
& ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X11] :
( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS) )
& aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
& equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
& aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(variable_rename,[status(thm)],[4639]) ).
fof(4641,plain,
! [X4] :
( ~ epred2_1(X4)
| ! [X5] :
( ~ aSet0(X5)
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X6] :
( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X7] :
( ( ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X7)
& aElementOf0(X7,sdtlpdtrp0(xN,X4))
& ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ( ( aElementOf0(esk37_2(X4,X5),X5)
& ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk)) )
| ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& ! [X9] :
( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9) )
& aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
& ! [X10] :
( ( ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X10)
& ( aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X10)
| ( ~ aElementOf0(X10,X5)
& ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) ) )
& ! [X11] :
( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS) )
& aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
& equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
& aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK)) ) ) ),
inference(skolemize,[status(esa)],[4640]) ).
fof(4642,plain,
! [X4,X5,X6,X7,X9,X10,X11] :
( ( ( ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS) )
& ( ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X10)
& ( aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) ) ) )
& ( ~ aElement0(X10)
| ( ~ aElementOf0(X10,X5)
& ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4))) )
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& ( ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
& aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
& aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
& equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
& aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK)) )
| ( ( ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ( aElement0(X7)
& aElementOf0(X7,sdtlpdtrp0(xN,X4))
& ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4))) ) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ( ( aElementOf0(esk37_2(X4,X5),X5)
& ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
& ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4)))) )
| ~ equal(sbrdtbr0(X5),xk) )
& ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4)) )
| ~ aSet0(X5)
| ~ epred2_1(X4) ),
inference(shift_quantors,[status(thm)],[4641]) ).
fof(4643,plain,
! [X4,X5,X6,X7,X9,X10,X11] :
( ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ aElementOf0(X11,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| aElementOf0(X11,xS)
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aElement0(X10)
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aElementOf0(X10,X5)
| equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ aElementOf0(X10,X5)
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ equal(X10,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElement0(X10)
| aElementOf0(X10,sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| ~ aElementOf0(X9,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X9)
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aSet0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aSubsetOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),xS)
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| equal(sbrdtbr0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4)))),xK)
| ~ epred2_1(X4) )
& ( aElement0(X7)
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( aElementOf0(X7,sdtlpdtrp0(xN,X4))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| ~ aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ aElement0(X7)
| ~ aElementOf0(X7,sdtlpdtrp0(xN,X4))
| equal(X7,szmzizndt0(sdtlpdtrp0(xN,X4)))
| aElementOf0(X7,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( aElementOf0(esk37_2(X4,X5),X5)
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(esk37_2(X4,X5),sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ aSubsetOf0(X5,sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ equal(sbrdtbr0(X5),xk)
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X5,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X4),szmzizndt0(sdtlpdtrp0(xN,X4))),xk))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( ~ aElementOf0(X6,sdtlpdtrp0(xN,X4))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X4)),X6)
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ aSet0(X5)
| aElementOf0(sdtpldt0(X5,szmzizndt0(sdtlpdtrp0(xN,X4))),slbdtsldtrb0(xS,xK))
| ~ epred2_1(X4) ) ),
inference(distribute,[status(thm)],[4642]) ).
cnf(4657,plain,
( sbrdtbr0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1)))) = xK
| ~ epred2_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[4643]) ).
cnf(4668,plain,
( aSubsetOf0(sdtpldt0(X2,szmzizndt0(sdtlpdtrp0(xN,X1))),xS)
| ~ epred2_1(X1)
| ~ aSet0(X2)
| ~ aElementOf0(X2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)) ),
inference(split_conjunct,[status(thm)],[4643]) ).
cnf(4781,negated_conjecture,
epred1_1(esk6_0),
inference(spm,[status(thm)],[116,182,theory(equality)]) ).
cnf(4785,negated_conjecture,
epred2_1(esk6_0),
inference(spm,[status(thm)],[468,182,theory(equality)]) ).
cnf(5049,negated_conjecture,
aElementOf0(esk7_1(esk8_0),szDzozmdt0(sdtlpdtrp0(xC,esk6_0))),
inference(spm,[status(thm)],[188,185,theory(equality)]) ).
cnf(5078,negated_conjecture,
sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(esk8_0)) = esk8_0,
inference(spm,[status(thm)],[187,185,theory(equality)]) ).
cnf(7118,plain,
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),xS)
| ~ epred2_1(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred1_1(X2) ),
inference(spm,[status(thm)],[4668,4546,theory(equality)]) ).
cnf(7332,plain,
( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = xK
| ~ epred2_1(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2)))
| ~ epred1_1(X2) ),
inference(spm,[status(thm)],[4657,4546,theory(equality)]) ).
cnf(7748,plain,
( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ epred1_1(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(spm,[status(thm)],[4564,4546,theory(equality)]) ).
cnf(502544,plain,
( aSubsetOf0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2))),xS)
| ~ epred2_1(X2)
| ~ epred1_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(csr,[status(thm)],[7118,4560]) ).
cnf(502545,negated_conjecture,
( aSubsetOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xS)
| ~ epred2_1(esk6_0)
| ~ epred1_1(esk6_0) ),
inference(spm,[status(thm)],[502544,5049,theory(equality)]) ).
cnf(502797,negated_conjecture,
( aSubsetOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xS)
| $false
| ~ epred1_1(esk6_0) ),
inference(rw,[status(thm)],[502545,4785,theory(equality)]) ).
cnf(502798,negated_conjecture,
( aSubsetOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xS)
| $false
| $false ),
inference(rw,[status(thm)],[502797,4781,theory(equality)]) ).
cnf(502799,negated_conjecture,
aSubsetOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xS),
inference(cn,[status(thm)],[502798,theory(equality)]) ).
cnf(553046,plain,
( sbrdtbr0(sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = xK
| ~ epred2_1(X2)
| ~ epred1_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(csr,[status(thm)],[7332,4560]) ).
cnf(553047,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = xK
| ~ epred2_1(esk6_0)
| ~ epred1_1(esk6_0) ),
inference(spm,[status(thm)],[553046,5049,theory(equality)]) ).
cnf(553311,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = xK
| $false
| ~ epred1_1(esk6_0) ),
inference(rw,[status(thm)],[553047,4785,theory(equality)]) ).
cnf(553312,negated_conjecture,
( sbrdtbr0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = xK
| $false
| $false ),
inference(rw,[status(thm)],[553311,4781,theory(equality)]) ).
cnf(553313,negated_conjecture,
sbrdtbr0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = xK,
inference(cn,[status(thm)],[553312,theory(equality)]) ).
cnf(553367,negated_conjecture,
( aElementOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),szDzozmdt0(xc))
| ~ aSubsetOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),xS) ),
inference(spm,[status(thm)],[4502,553313,theory(equality)]) ).
cnf(554163,negated_conjecture,
( aElementOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),szDzozmdt0(xc))
| $false ),
inference(rw,[status(thm)],[553367,502799,theory(equality)]) ).
cnf(554164,negated_conjecture,
aElementOf0(sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0))),szDzozmdt0(xc)),
inference(cn,[status(thm)],[554163,theory(equality)]) ).
cnf(555310,negated_conjecture,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aFunction0(xc) ),
inference(spm,[status(thm)],[503,554164,theory(equality)]) ).
cnf(555329,negated_conjecture,
( aElementOf0(sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| $false ),
inference(rw,[status(thm)],[555310,4501,theory(equality)]) ).
cnf(555330,negated_conjecture,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cn,[status(thm)],[555329,theory(equality)]) ).
cnf(555500,negated_conjecture,
aElementOf0(sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))),xT),
inference(spm,[status(thm)],[4512,555330,theory(equality)]) ).
cnf(710422,plain,
( sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X2)))) = sdtlpdtrp0(sdtlpdtrp0(xC,X2),X1)
| ~ epred1_1(X2)
| ~ aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,X2))) ),
inference(csr,[status(thm)],[7748,4560]) ).
cnf(710423,negated_conjecture,
( sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = sdtlpdtrp0(sdtlpdtrp0(xC,esk6_0),esk7_1(esk8_0))
| ~ epred1_1(esk6_0) ),
inference(spm,[status(thm)],[710422,5049,theory(equality)]) ).
cnf(710712,negated_conjecture,
( sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = esk8_0
| ~ epred1_1(esk6_0) ),
inference(rw,[status(thm)],[710423,5078,theory(equality)]) ).
cnf(710713,negated_conjecture,
( sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = esk8_0
| $false ),
inference(rw,[status(thm)],[710712,4781,theory(equality)]) ).
cnf(710714,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(esk7_1(esk8_0),szmzizndt0(sdtlpdtrp0(xN,esk6_0)))) = esk8_0,
inference(cn,[status(thm)],[710713,theory(equality)]) ).
cnf(710989,negated_conjecture,
aElementOf0(esk8_0,xT),
inference(rw,[status(thm)],[555500,710714,theory(equality)]) ).
cnf(710990,negated_conjecture,
$false,
inference(sr,[status(thm)],[710989,184,theory(equality)]) ).
cnf(710991,negated_conjecture,
$false,
710990,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM585+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.02/0.23 % Computer : n033.star.cs.uiowa.edu
% 0.02/0.23 % Model : x86_64 x86_64
% 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.23 % Memory : 32218.625MB
% 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.02/0.23 % CPULimit : 300
% 0.02/0.23 % DateTime : Fri Jan 5 11:18:45 CST 2018
% 0.02/0.24 % CPUTime :
% 0.06/0.28 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.28 --creating new selector for []
% 29.05/29.47 eprover: CPU time limit exceeded, terminating
% 95.94/97.86 -running prover on /export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_1 with time limit 29
% 95.94/97.86 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_1']
% 95.94/97.86 -prover status ResourceOut
% 95.94/97.86 -running prover on /export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2 with time limit 81
% 95.94/97.86 -running prover with command ['/export/starexec/sandbox/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=81', '/export/starexec/sandbox/tmp/tmpLcCSsa/sel_theBenchmark.p_2']
% 95.94/97.86 -prover status Theorem
% 95.94/97.86 Problem theBenchmark.p solved in phase 1.
% 95.94/97.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.94/97.86 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 95.94/97.86 Solved 1 out of 1.
% 95.94/97.86 # Problem is unsatisfiable (or provable), constructing proof object
% 95.94/97.86 # SZS status Theorem
% 95.94/97.86 # SZS output start CNFRefutation.
% See solution above
% 95.94/97.86 # SZS output end CNFRefutation
%------------------------------------------------------------------------------