TSTP Solution File: NUM586+3 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM586+3 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n140.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 10.70s
% Output : CNFRefutation 10.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 35 ( 8 unt; 0 def)
% Number of atoms : 1023 ( 3 equ)
% Maximal formula atoms : 518 ( 29 avg)
% Number of connectives : 1541 ( 553 ~; 597 |; 350 &)
% ( 8 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 105 ( 11 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 99 !; 10 ?)
% 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/tmpwpvw7T/sel_theBenchmark.p_1',m__4151) ).
fof(15,conjecture,
? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& equal(sbrdtbr0(X1),xk) )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1),xx) ),
file('/export/starexec/sandbox/tmp/tmpwpvw7T/sel_theBenchmark.p_1',m__) ).
fof(41,axiom,
( ? [X1] :
( aElementOf0(X1,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1),xx) )
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
file('/export/starexec/sandbox/tmp/tmpwpvw7T/sel_theBenchmark.p_1',m__4200_02) ).
fof(67,axiom,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/tmp/tmpwpvw7T/sel_theBenchmark.p_1',m__4200) ).
fof(90,negated_conjecture,
~ ? [X1] :
( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( aElementOf0(X2,sdtlpdtrp0(xN,xi))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
<=> ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,xi))) ) ) )
=> ( ( ( ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
| aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& equal(sbrdtbr0(X1),xk) )
| aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ) ) )
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1),xx) ),
inference(assume_negation,[status(cth)],[15]) ).
fof(96,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(98,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( aElementOf0(X1,szNzAzT0)
=> epred1_1(X1) ) ),
inference(apply_def,[status(esa)],[3,96,theory(equality)]) ).
fof(113,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X1] :
( ~ aElementOf0(X1,szNzAzT0)
| epred1_1(X1) ) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(114,plain,
( aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) ) ),
inference(variable_rename,[status(thm)],[113]) ).
fof(115,plain,
! [X2] :
( ( ~ aElementOf0(X2,szNzAzT0)
| epred1_1(X2) )
& aFunction0(xC)
& equal(szDzozmdt0(xC),szNzAzT0) ),
inference(shift_quantors,[status(thm)],[114]) ).
cnf(118,plain,
( epred1_1(X1)
| ~ aElementOf0(X1,szNzAzT0) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(179,negated_conjecture,
! [X1] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X2] :
( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X2)
& aElementOf0(X2,sdtlpdtrp0(xN,xi))
& ~ equal(X2,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
| equal(X2,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ aSubsetOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ equal(sbrdtbr0(X1),xk) )
& ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) )
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1),xx) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(180,negated_conjecture,
! [X3] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( ( ~ aSet0(X3)
| ? [X6] :
( aElementOf0(X6,X3)
& ~ aElementOf0(X6,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) )
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) ),
inference(variable_rename,[status(thm)],[179]) ).
fof(181,negated_conjecture,
! [X3] :
( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
& ! [X4] :
( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk6_1(X3),X3)
& ~ aElementOf0(esk6_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) )
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) ),
inference(skolemize,[status(esa)],[180]) ).
fof(182,negated_conjecture,
! [X3,X4,X5] :
( ( ( ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ( aElement0(X5)
& aElementOf0(X5,sdtlpdtrp0(xN,xi))
& ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi))) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
& ( ( ( ~ aSet0(X3)
| ( aElementOf0(esk6_1(X3),X3)
& ~ aElementOf0(esk6_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
& ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
| ~ equal(sbrdtbr0(X3),xk) )
& ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)) )
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) ),
inference(shift_quantors,[status(thm)],[181]) ).
fof(183,negated_conjecture,
! [X3,X4,X5] :
( ( aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( aElementOf0(X5,sdtlpdtrp0(xN,xi))
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
| equal(X5,szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(X5,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( aElementOf0(esk6_1(X3),X3)
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ aElementOf0(esk6_1(X3),sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(X3)
| ~ equal(sbrdtbr0(X3),xk)
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ aSubsetOf0(X3,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ equal(sbrdtbr0(X3),xk)
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ aElementOf0(X3,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( ~ aElementOf0(X4,sdtlpdtrp0(xN,xi))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X4)
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) )
& ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
| ~ equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X3),xx) ) ),
inference(distribute,[status(thm)],[182]) ).
cnf(186,negated_conjecture,
( sdtlpdtrp0(sdtlpdtrp0(xC,xi),X1) != xx
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)) ),
inference(split_conjunct,[status(thm)],[183]) ).
fof(310,plain,
( ? [X2] :
( aElementOf0(X2,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),X2),xx) )
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(311,plain,
( aElementOf0(esk10_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
& equal(sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk10_0),xx)
& aElementOf0(xx,sdtlcdtrc0(sdtlpdtrp0(xC,xi),szDzozmdt0(sdtlpdtrp0(xC,xi)))) ),
inference(skolemize,[status(esa)],[310]) ).
cnf(313,plain,
sdtlpdtrp0(sdtlpdtrp0(xC,xi),esk10_0) = xx,
inference(split_conjunct,[status(thm)],[311]) ).
cnf(314,plain,
aElementOf0(esk10_0,szDzozmdt0(sdtlpdtrp0(xC,xi))),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(479,plain,
aElementOf0(xi,szNzAzT0),
inference(split_conjunct,[status(thm)],[67]) ).
fof(4552,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)],[96]) ).
fof(4553,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)],[4552]) ).
fof(4554,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(esk34_2(X4,X7),X7)
& ~ aElementOf0(esk34_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(esk35_2(X4,X10),X10)
& ~ aElementOf0(esk35_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)],[4553]) ).
fof(4555,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(esk35_2(X4,X10),X10)
& ~ aElementOf0(esk35_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(esk34_2(X4,X7),X7)
& ~ aElementOf0(esk34_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)],[4554]) ).
fof(4556,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(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElement0(X15)
| ~ aElementOf0(X15,sdtpldt0(X10,szmzizndt0(sdtlpdtrp0(xN,X4))))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_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(esk35_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(esk35_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(esk35_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(esk35_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(esk35_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(esk35_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(esk35_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(esk35_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(esk35_2(X4,X10),X10)
| ~ equal(sbrdtbr0(X10),xk)
| ~ aSet0(X10)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X4)),sdtlpdtrp0(xN,X4))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk35_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(esk35_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(esk35_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(esk34_2(X4,X7),X7)
| ~ aSet0(X7)
| ~ equal(sbrdtbr0(X7),xk)
| aElementOf0(X7,szDzozmdt0(sdtlpdtrp0(xC,X4)))
| ~ epred1_1(X4) )
& ( ~ aElementOf0(esk34_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)],[4555]) ).
cnf(4557,plain,
( szDzozmdt0(sdtlpdtrp0(xC,X1)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X1),szmzizndt0(sdtlpdtrp0(xN,X1))),xk)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[4556]) ).
cnf(4816,plain,
epred1_1(xi),
inference(spm,[status(thm)],[118,479,theory(equality)]) ).
cnf(5493,plain,
~ aElementOf0(esk10_0,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(spm,[status(thm)],[186,313,theory(equality)]) ).
cnf(105789,plain,
( ~ aElementOf0(esk10_0,szDzozmdt0(sdtlpdtrp0(xC,xi)))
| ~ epred1_1(xi) ),
inference(spm,[status(thm)],[5493,4557,theory(equality)]) ).
cnf(105790,plain,
( $false
| ~ epred1_1(xi) ),
inference(rw,[status(thm)],[105789,314,theory(equality)]) ).
cnf(105791,plain,
( $false
| $false ),
inference(rw,[status(thm)],[105790,4816,theory(equality)]) ).
cnf(105792,plain,
$false,
inference(cn,[status(thm)],[105791,theory(equality)]) ).
cnf(105793,plain,
$false,
105792,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM586+3 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.04 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n140.star.cs.uiowa.edu
% 0.03/0.23 % Model : x86_64 x86_64
% 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.23 % Memory : 32218.625MB
% 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64
% 0.03/0.23 % CPULimit : 300
% 0.03/0.23 % DateTime : Mon Jan 8 08:12:57 CST 2018
% 0.03/0.23 % CPUTime :
% 0.06/0.27 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.27 --creating new selector for []
% 10.70/11.06 -running prover on /export/starexec/sandbox/tmp/tmpwpvw7T/sel_theBenchmark.p_1 with time limit 29
% 10.70/11.06 -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/tmpwpvw7T/sel_theBenchmark.p_1']
% 10.70/11.06 -prover status Theorem
% 10.70/11.06 Problem theBenchmark.p solved in phase 0.
% 10.70/11.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.70/11.06 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.70/11.06 Solved 1 out of 1.
% 10.70/11.06 # Problem is unsatisfiable (or provable), constructing proof object
% 10.70/11.06 # SZS status Theorem
% 10.70/11.06 # SZS output start CNFRefutation.
% See solution above
% 10.70/11.06 # SZS output end CNFRefutation
%------------------------------------------------------------------------------