TSTP Solution File: NUM537+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM537+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n117.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 15:21:42 EST 2018
% Result : Theorem 0.06s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 7
% Syntax : Number of formulae : 119 ( 13 unt; 0 def)
% Number of atoms : 1502 ( 81 equ)
% Maximal formula atoms : 676 ( 12 avg)
% Number of connectives : 2119 ( 736 ~; 979 |; 374 &)
% ( 12 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 176 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 163 ( 0 sgn 96 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',mEOfElem) ).
fof(7,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtmndt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',mDefDiff) ).
fof(9,axiom,
! [X1,X2] :
( ( aSet0(X1)
& aElement0(X2) )
=> ! [X3] :
( equal(X3,sdtpldt0(X1,X2))
<=> ( aSet0(X3)
& ! [X4] :
( aElementOf0(X4,X3)
<=> ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',mDefCons) ).
fof(10,conjecture,
( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',m__) ).
fof(14,axiom,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',m__679) ).
fof(16,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',mConsDiff) ).
fof(18,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1',m__679_02) ).
fof(21,negated_conjecture,
~ ( ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ) ) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(23,plain,
~ aElementOf0(xx,xS),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(36,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(37,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[36]) ).
fof(38,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[37]) ).
cnf(39,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[38]) ).
fof(41,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtmndt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2)
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X1)
| equal(X4,X2) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& aElementOf0(X4,X1)
& ~ equal(X4,X2) ) ) )
| equal(X3,sdtmndt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(42,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ~ aElementOf0(X9,X5)
| equal(X9,X6) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& aElementOf0(X9,X5)
& ~ equal(X9,X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[41]) ).
fof(43,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtmndt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X7)
| ( aElement0(esk1_3(X5,X6,X7))
& aElementOf0(esk1_3(X5,X6,X7),X5)
& ~ equal(esk1_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[42]) ).
fof(44,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& aElementOf0(X8,X5)
& ~ equal(X8,X6) ) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtmndt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X7)
| ( aElement0(esk1_3(X5,X6,X7))
& aElementOf0(esk1_3(X5,X6,X7),X5)
& ~ equal(esk1_3(X5,X6,X7),X6) ) ) )
| equal(X7,sdtmndt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[43]) ).
fof(45,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElement0(X8)
| ~ aElementOf0(X8,X5)
| equal(X8,X6)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aElement0(esk1_3(X5,X6,X7))
| ~ aElementOf0(esk1_3(X5,X6,X7),X5)
| equal(esk1_3(X5,X6,X7),X6)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk1_3(X5,X6,X7))
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk1_3(X5,X6,X7),X5)
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk1_3(X5,X6,X7),X6)
| aElementOf0(esk1_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtmndt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[44]) ).
cnf(52,plain,
( ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3)
| X4 != X1 ),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(53,plain,
( aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[45]) ).
fof(58,plain,
! [X1,X2] :
( ~ aSet0(X1)
| ~ aElement0(X2)
| ! [X3] :
( ( ~ equal(X3,sdtpldt0(X1,X2))
| ( aSet0(X3)
& ! [X4] :
( ( ~ aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) )
& ( ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) )
| aElementOf0(X4,X3) ) ) ) )
& ( ~ aSet0(X3)
| ? [X4] :
( ( ~ aElementOf0(X4,X3)
| ~ aElement0(X4)
| ( ~ aElementOf0(X4,X1)
& ~ equal(X4,X2) ) )
& ( aElementOf0(X4,X3)
| ( aElement0(X4)
& ( aElementOf0(X4,X1)
| equal(X4,X2) ) ) ) )
| equal(X3,sdtpldt0(X1,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(59,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ? [X9] :
( ( ~ aElementOf0(X9,X7)
| ~ aElement0(X9)
| ( ~ aElementOf0(X9,X5)
& ~ equal(X9,X6) ) )
& ( aElementOf0(X9,X7)
| ( aElement0(X9)
& ( aElementOf0(X9,X5)
| equal(X9,X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(variable_rename,[status(thm)],[58]) ).
fof(60,plain,
! [X5,X6] :
( ~ aSet0(X5)
| ~ aElement0(X6)
| ! [X7] :
( ( ~ equal(X7,sdtpldt0(X5,X6))
| ( aSet0(X7)
& ! [X8] :
( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) ) ) ) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) ) ),
inference(skolemize,[status(esa)],[59]) ).
fof(61,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ aElementOf0(X8,X7)
| ( aElement0(X8)
& ( aElementOf0(X8,X5)
| equal(X8,X6) ) ) )
& ( ~ aElement0(X8)
| ( ~ aElementOf0(X8,X5)
& ~ equal(X8,X6) )
| aElementOf0(X8,X7) )
& aSet0(X7) )
| ~ equal(X7,sdtpldt0(X5,X6)) )
& ( ~ aSet0(X7)
| ( ( ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aElement0(esk2_3(X5,X6,X7))
| ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
& ~ equal(esk2_3(X5,X6,X7),X6) ) )
& ( aElementOf0(esk2_3(X5,X6,X7),X7)
| ( aElement0(esk2_3(X5,X6,X7))
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6) ) ) ) )
| equal(X7,sdtpldt0(X5,X6)) ) )
| ~ aSet0(X5)
| ~ aElement0(X6) ),
inference(shift_quantors,[status(thm)],[60]) ).
fof(62,plain,
! [X5,X6,X7,X8] :
( ( aElement0(X8)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(X8,X5)
| equal(X8,X6)
| ~ aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(X8,X5)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(X8,X6)
| ~ aElement0(X8)
| aElementOf0(X8,X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aSet0(X7)
| ~ equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ aElementOf0(esk2_3(X5,X6,X7),X5)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( ~ equal(esk2_3(X5,X6,X7),X6)
| ~ aElement0(esk2_3(X5,X6,X7))
| ~ aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElement0(esk2_3(X5,X6,X7))
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) )
& ( aElementOf0(esk2_3(X5,X6,X7),X5)
| equal(esk2_3(X5,X6,X7),X6)
| aElementOf0(esk2_3(X5,X6,X7),X7)
| ~ aSet0(X7)
| equal(X7,sdtpldt0(X5,X6))
| ~ aSet0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[61]) ).
cnf(69,plain,
( aElementOf0(X4,X3)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElement0(X4)
| ~ aElementOf0(X4,X2) ),
inference(split_conjunct,[status(thm)],[62]) ).
cnf(70,plain,
( X4 = X1
| aElementOf0(X4,X2)
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtpldt0(X2,X1)
| ~ aElementOf0(X4,X3) ),
inference(split_conjunct,[status(thm)],[62]) ).
fof(72,negated_conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xS)
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X1] :
( aElementOf0(X1,xS)
& ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ( aSet0(sdtpldt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ( aElement0(X1)
& ( aElementOf0(X1,xS)
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,xS)
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X1)
& aElementOf0(X1,sdtpldt0(xS,xx))
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(73,negated_conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ( aElement0(X2)
& ( aElementOf0(X2,xS)
| equal(X2,xx) ) ) )
& ( ~ aElement0(X2)
| ( ~ aElementOf0(X2,xS)
& ~ equal(X2,xx) )
| aElementOf0(X2,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X3)
& aElementOf0(X3,sdtpldt0(xS,xx))
& ~ equal(X3,xx) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X4] :
( aElementOf0(X4,xS)
& ~ aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ( aSet0(sdtpldt0(xS,xx))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ( aElement0(X5)
& ( aElementOf0(X5,xS)
| equal(X5,xx) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xS)
& ~ equal(X5,xx) )
| aElementOf0(X5,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X6)
& aElementOf0(X6,sdtpldt0(xS,xx))
& ~ equal(X6,xx) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& ? [X7] :
( aElementOf0(X7,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(X7,xS) )
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ( aElement0(X2)
& ( aElementOf0(X2,xS)
| equal(X2,xx) ) ) )
& ( ~ aElement0(X2)
| ( ~ aElementOf0(X2,xS)
& ~ equal(X2,xx) )
| aElementOf0(X2,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X3)
& aElementOf0(X3,sdtpldt0(xS,xx))
& ~ equal(X3,xx) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& aElementOf0(esk3_0,xS)
& ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)) )
| ( aSet0(sdtpldt0(xS,xx))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ( aElement0(X5)
& ( aElementOf0(X5,xS)
| equal(X5,xx) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xS)
& ~ equal(X5,xx) )
| aElementOf0(X5,sdtpldt0(xS,xx)) ) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X6)
& aElementOf0(X6,sdtpldt0(xS,xx))
& ~ equal(X6,xx) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(esk4_0,xS)
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,negated_conjecture,
! [X2,X3,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X6)
& aElementOf0(X6,sdtpldt0(xS,xx))
& ~ equal(X6,xx) ) )
& ( ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aElementOf0(esk4_0,xS)
& ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)
& ( ~ aElementOf0(X5,sdtpldt0(xS,xx))
| ( aElement0(X5)
& ( aElementOf0(X5,xS)
| equal(X5,xx) ) ) )
& ( ~ aElement0(X5)
| ( ~ aElementOf0(X5,xS)
& ~ equal(X5,xx) )
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) )
| ( ( ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ( aElement0(X3)
& aElementOf0(X3,sdtpldt0(xS,xx))
& ~ equal(X3,xx) ) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& aElementOf0(esk3_0,xS)
& ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
& ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
& ( ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ( aElement0(X2)
& ( aElementOf0(X2,xS)
| equal(X2,xx) ) ) )
& ( ~ aElement0(X2)
| ( ~ aElementOf0(X2,xS)
& ~ equal(X2,xx) )
| aElementOf0(X2,sdtpldt0(xS,xx)) )
& aSet0(sdtpldt0(xS,xx)) ) ),
inference(shift_quantors,[status(thm)],[74]) ).
fof(76,negated_conjecture,
! [X2,X3,X5,X6] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X6,sdtpldt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(xS,xx))
| equal(X6,xx)
| aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(esk3_0,xS)
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aElementOf0(esk3_0,xS)
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aElementOf0(X5,xS)
| equal(X5,xx)
| ~ aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ aElementOf0(X5,xS)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElement0(X5)
| aElementOf0(X5,sdtpldt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X3,sdtpldt0(xS,xx))
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(xS,xx))
| equal(X3,xx)
| aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| equal(X2,xx)
| ~ aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ aElementOf0(X2,xS)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElement0(X2)
| aElementOf0(X2,sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) )
& ( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(77,negated_conjecture,
( aSet0(sdtpldt0(xS,xx))
| aSet0(sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(91,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(X2,sdtpldt0(xS,xx))
| ~ aElement0(X1)
| X1 != xx
| ~ aElement0(X2)
| X2 != xx ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(123,negated_conjecture,
( X1 = xx
| aElementOf0(X1,xS)
| aElementOf0(esk3_0,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(161,negated_conjecture,
( ~ aElementOf0(esk4_0,xS)
| ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(162,negated_conjecture,
( aElementOf0(esk3_0,xS)
| ~ aElementOf0(esk4_0,xS) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(172,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(174,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(175,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_0,xS) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(177,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 = xx
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(189,negated_conjecture,
( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
| aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(214,negated_conjecture,
( aElementOf0(esk3_0,xS)
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| X1 != xx ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(227,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(esk3_0,xS)
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(262,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(263,plain,
aElement0(xx),
inference(split_conjunct,[status(thm)],[14]) ).
fof(267,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| equal(sdtpldt0(sdtmndt0(X1,X2),X2),X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(268,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3) ) ),
inference(variable_rename,[status(thm)],[267]) ).
fof(269,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| equal(sdtpldt0(sdtmndt0(X3,X4),X4),X3)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[268]) ).
cnf(270,plain,
( sdtpldt0(sdtmndt0(X1,X2),X2) = X1
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[269]) ).
cnf(279,plain,
~ aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(344,negated_conjecture,
( aElementOf0(esk3_0,xS)
| ~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(er,[status(thm)],[214,theory(equality)]) ).
cnf(353,plain,
( sdtmndt0(X1,X2) != X3
| ~ aElement0(X2)
| ~ aElementOf0(X2,X3)
| ~ aSet0(X1) ),
inference(er,[status(thm)],[52,theory(equality)]) ).
cnf(375,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[53,theory(equality)]) ).
cnf(387,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[70,theory(equality)]) ).
cnf(389,plain,
( aElementOf0(X4,X3)
| sdtpldt0(X2,X1) != X3
| ~ aElement0(X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[69,39]) ).
cnf(390,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[389,theory(equality)]) ).
cnf(392,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(xS,xx))
| aElementOf0(esk3_0,xS) ),
inference(spm,[status(thm)],[227,175,theory(equality)]) ).
cnf(412,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(xx,sdtpldt0(xS,xx))
| xx != X1
| ~ aElement0(xx)
| ~ aElement0(X1) ),
inference(er,[status(thm)],[91,theory(equality)]) ).
cnf(413,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(xx,sdtpldt0(xS,xx))
| xx != X1
| $false
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[412,263,theory(equality)]) ).
cnf(414,negated_conjecture,
( aElementOf0(X1,sdtpldt0(xS,xx))
| aElementOf0(xx,sdtpldt0(xS,xx))
| xx != X1
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[413,theory(equality)]) ).
cnf(565,negated_conjecture,
( xx = X1
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(csr,[status(thm)],[177,172]) ).
cnf(1108,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk3_0,xS)
| aElementOf0(esk4_0,xS) ),
inference(spm,[status(thm)],[123,392,theory(equality)]) ).
cnf(1129,plain,
( ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(X2,X1))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[353,theory(equality)]) ).
cnf(1131,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk3_0,xS) ),
inference(csr,[status(thm)],[1108,162]) ).
cnf(2251,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk4_0 = xx
| ~ aElement0(X1)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[390,1131,theory(equality)]) ).
cnf(2267,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk4_0 = xx
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[2251,262,theory(equality)]) ).
cnf(2268,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk4_0 = xx
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[2267,theory(equality)]) ).
cnf(2366,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx
| ~ aElement0(xx) ),
inference(spm,[status(thm)],[565,2268,theory(equality)]) ).
cnf(2400,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx
| $false ),
inference(rw,[status(thm)],[2366,263,theory(equality)]) ).
cnf(2401,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx ),
inference(cn,[status(thm)],[2400,theory(equality)]) ).
cnf(2899,negated_conjecture,
( aElementOf0(xx,sdtpldt0(xS,xx))
| ~ aElement0(xx) ),
inference(er,[status(thm)],[414,theory(equality)]) ).
cnf(2900,negated_conjecture,
( aElementOf0(xx,sdtpldt0(xS,xx))
| $false ),
inference(rw,[status(thm)],[2899,263,theory(equality)]) ).
cnf(2901,negated_conjecture,
aElementOf0(xx,sdtpldt0(xS,xx)),
inference(cn,[status(thm)],[2900,theory(equality)]) ).
cnf(2908,negated_conjecture,
( sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = sdtpldt0(xS,xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[270,2901,theory(equality)]) ).
cnf(2931,negated_conjecture,
( sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = sdtpldt0(xS,xx)
| $false ),
inference(rw,[status(thm)],[2908,77,theory(equality)]) ).
cnf(2932,negated_conjecture,
sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx) = sdtpldt0(xS,xx),
inference(cn,[status(thm)],[2931,theory(equality)]) ).
cnf(2956,negated_conjecture,
( xx = X1
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[387,2932,theory(equality)]) ).
cnf(2986,negated_conjecture,
( xx = X1
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[2956,263,theory(equality)]) ).
cnf(2987,negated_conjecture,
( xx = X1
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false
| ~ aElementOf0(X1,sdtpldt0(xS,xx))
| $false ),
inference(rw,[status(thm)],[2986,189,theory(equality)]) ).
cnf(2988,negated_conjecture,
( xx = X1
| aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(cn,[status(thm)],[2987,theory(equality)]) ).
cnf(3439,negated_conjecture,
( esk3_0 = xx
| esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(csr,[status(thm)],[2401,174]) ).
cnf(3450,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(xS,xx))
| esk4_0 = xx
| esk3_0 = xx
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[375,3439,theory(equality)]) ).
cnf(3460,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(xS,xx))
| esk4_0 = xx
| esk3_0 = xx
| $false
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(rw,[status(thm)],[3450,263,theory(equality)]) ).
cnf(3461,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(xS,xx))
| esk4_0 = xx
| esk3_0 = xx
| $false
| $false ),
inference(rw,[status(thm)],[3460,77,theory(equality)]) ).
cnf(3462,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(xS,xx))
| esk4_0 = xx
| esk3_0 = xx ),
inference(cn,[status(thm)],[3461,theory(equality)]) ).
cnf(3539,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,xS)
| esk3_0 = xx
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[387,3462,theory(equality)]) ).
cnf(3551,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,xS)
| esk3_0 = xx
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[3539,263,theory(equality)]) ).
cnf(3552,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,xS)
| esk3_0 = xx
| $false
| $false ),
inference(rw,[status(thm)],[3551,262,theory(equality)]) ).
cnf(3553,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,xS)
| esk3_0 = xx ),
inference(cn,[status(thm)],[3552,theory(equality)]) ).
cnf(3595,negated_conjecture,
( esk3_0 = xx
| esk4_0 = xx
| ~ aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[161,3553,theory(equality)]) ).
cnf(6636,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx
| ~ aElement0(xx) ),
inference(spm,[status(thm)],[2988,2268,theory(equality)]) ).
cnf(6675,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx
| $false ),
inference(rw,[status(thm)],[6636,263,theory(equality)]) ).
cnf(6676,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk4_0 = xx ),
inference(cn,[status(thm)],[6675,theory(equality)]) ).
cnf(6820,negated_conjecture,
( esk3_0 = xx
| esk4_0 = xx ),
inference(csr,[status(thm)],[6676,3595]) ).
cnf(6822,negated_conjecture,
( aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(esk3_0,xS)
| esk3_0 = xx ),
inference(spm,[status(thm)],[175,6820,theory(equality)]) ).
cnf(6847,negated_conjecture,
( esk3_0 = xx
| aElementOf0(esk3_0,xS) ),
inference(csr,[status(thm)],[6822,344]) ).
cnf(6855,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk3_0 = xx
| ~ aElement0(X1)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[390,6847,theory(equality)]) ).
cnf(6864,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk3_0 = xx
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[6855,262,theory(equality)]) ).
cnf(6865,negated_conjecture,
( aElementOf0(esk3_0,sdtpldt0(xS,X1))
| esk3_0 = xx
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[6864,theory(equality)]) ).
cnf(6926,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(spm,[status(thm)],[2988,6865,theory(equality)]) ).
cnf(6945,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| $false ),
inference(rw,[status(thm)],[6926,263,theory(equality)]) ).
cnf(6946,negated_conjecture,
( xx = esk3_0
| aElementOf0(esk3_0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[6945,theory(equality)]) ).
cnf(6955,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| esk3_0 = xx ),
inference(spm,[status(thm)],[174,6946,theory(equality)]) ).
cnf(7077,negated_conjecture,
( esk3_0 = xx
| aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[6955,6820,theory(equality)]) ).
cnf(7346,negated_conjecture,
( esk3_0 = xx
| ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[1129,7077,theory(equality)]) ).
cnf(7370,negated_conjecture,
( esk3_0 = xx
| $false
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(rw,[status(thm)],[7346,263,theory(equality)]) ).
cnf(7371,negated_conjecture,
( esk3_0 = xx
| $false
| $false ),
inference(rw,[status(thm)],[7370,77,theory(equality)]) ).
cnf(7372,negated_conjecture,
esk3_0 = xx,
inference(cn,[status(thm)],[7371,theory(equality)]) ).
cnf(7570,negated_conjecture,
( esk4_0 = xx
| aElementOf0(xx,xS) ),
inference(rw,[status(thm)],[1131,7372,theory(equality)]) ).
cnf(7571,negated_conjecture,
esk4_0 = xx,
inference(sr,[status(thm)],[7570,279,theory(equality)]) ).
cnf(7594,negated_conjecture,
( aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx))
| aElementOf0(xx,xS) ),
inference(rw,[status(thm)],[175,7372,theory(equality)]) ).
cnf(7595,negated_conjecture,
aElementOf0(esk4_0,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(sr,[status(thm)],[7594,279,theory(equality)]) ).
cnf(7778,negated_conjecture,
aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(rw,[status(thm)],[7595,7571,theory(equality)]) ).
cnf(7782,negated_conjecture,
( ~ aElement0(xx)
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(spm,[status(thm)],[1129,7778,theory(equality)]) ).
cnf(7806,negated_conjecture,
( $false
| ~ aSet0(sdtpldt0(xS,xx)) ),
inference(rw,[status(thm)],[7782,263,theory(equality)]) ).
cnf(7807,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[7806,77,theory(equality)]) ).
cnf(7808,negated_conjecture,
$false,
inference(cn,[status(thm)],[7807,theory(equality)]) ).
cnf(7809,negated_conjecture,
$false,
7808,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM537+2 : TPTP v7.0.0. Released v4.0.0.
% 0.00/0.03 % Command : Source/sine.py -e eprover -t %d %s
% 0.03/0.23 % Computer : n117.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 : Fri Jan 5 07:55:14 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 []
% 0.06/0.51 -running prover on /export/starexec/sandbox/tmp/tmpgOa3Ja/sel_theBenchmark.p_1 with time limit 29
% 0.06/0.51 -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/tmpgOa3Ja/sel_theBenchmark.p_1']
% 0.06/0.51 -prover status Theorem
% 0.06/0.51 Problem theBenchmark.p solved in phase 0.
% 0.06/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.51 % SZS status Ended for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.51 Solved 1 out of 1.
% 0.06/0.51 # Problem is unsatisfiable (or provable), constructing proof object
% 0.06/0.51 # SZS status Theorem
% 0.06/0.51 # SZS output start CNFRefutation.
% See solution above
% 0.06/0.51 # SZS output end CNFRefutation
%------------------------------------------------------------------------------