TSTP Solution File: NUM535+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : NUM535+2 : TPTP v7.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : n098.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 15:21:41 EST 2018
% Result : Theorem 0.07s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 6
% Syntax : Number of formulae : 107 ( 11 unt; 0 def)
% Number of atoms : 1478 ( 65 equ)
% Maximal formula atoms : 676 ( 13 avg)
% Number of connectives : 2115 ( 744 ~; 970 |; 373 &)
% ( 12 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 177 ( 7 avg)
% Maximal term depth : 3 ( 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 : 142 ( 0 sgn 88 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',mEOfElem) ).
fof(6,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',m__617) ).
fof(8,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',m__617_02) ).
fof(9,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/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',mDefDiff) ).
fof(11,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/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',mDefCons) ).
fof(12,conjecture,
( ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1',m__) ).
fof(20,negated_conjecture,
~ ( ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ) ) )
& ( ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
<=> ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) ) )
=> ( ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) ) )
=> ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
=> aElementOf0(X1,xS) )
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ) ) ),
inference(assume_negation,[status(cth)],[12]) ).
fof(34,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(35,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[34]) ).
fof(36,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[35]) ).
cnf(37,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(38,plain,
aSet0(xS),
inference(split_conjunct,[status(thm)],[6]) ).
cnf(40,plain,
aElementOf0(xx,xS),
inference(split_conjunct,[status(thm)],[8]) ).
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)],[9]) ).
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(51,plain,
( aElementOf0(X4,X3)
| X4 = X1
| ~ aElement0(X1)
| ~ aSet0(X2)
| X3 != sdtmndt0(X2,X1)
| ~ aElementOf0(X4,X2)
| ~ aElement0(X4) ),
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)],[11]) ).
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(sdtmndt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xS)
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ? [X1] :
( aElementOf0(X1,xS)
& ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ( aSet0(sdtmndt0(xS,xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ( aElement0(X1)
& aElementOf0(X1,xS)
& ~ equal(X1,xx) ) )
& ( ~ aElement0(X1)
| ~ aElementOf0(X1,xS)
| equal(X1,xx)
| aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X1)
& ( aElementOf0(X1,sdtmndt0(xS,xx))
| equal(X1,xx) ) ) )
& ( ~ aElement0(X1)
| ( ~ aElementOf0(X1,sdtmndt0(xS,xx))
& ~ equal(X1,xx) )
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ? [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aElementOf0(X1,xS) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(73,negated_conjecture,
( ( aSet0(sdtmndt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ( aElement0(X2)
& aElementOf0(X2,xS)
& ~ equal(X2,xx) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
& ~ equal(X3,xx) )
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ? [X4] :
( aElementOf0(X4,xS)
& ~ aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ( aSet0(sdtmndt0(xS,xx))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ( aElement0(X5)
& aElementOf0(X5,xS)
& ~ equal(X5,xx) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X6)
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx) ) ) )
& ( ~ aElement0(X6)
| ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
& ~ equal(X6,xx) )
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& ? [X7] :
( aElementOf0(X7,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aElementOf0(X7,xS) )
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
inference(variable_rename,[status(thm)],[72]) ).
fof(74,negated_conjecture,
( ( aSet0(sdtmndt0(xS,xx))
& ! [X2] :
( ( ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ( aElement0(X2)
& aElementOf0(X2,xS)
& ~ equal(X2,xx) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X3] :
( ( ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
& ~ equal(X3,xx) )
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aElementOf0(esk3_0,xS)
& ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) )
| ( aSet0(sdtmndt0(xS,xx))
& ! [X5] :
( ( ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ( aElement0(X5)
& aElementOf0(X5,xS)
& ~ equal(X5,xx) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X6] :
( ( ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X6)
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx) ) ) )
& ( ~ aElement0(X6)
| ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
& ~ equal(X6,xx) )
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aElementOf0(esk4_0,xS)
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ) ),
inference(skolemize,[status(esa)],[73]) ).
fof(75,negated_conjecture,
! [X2,X3,X5,X6] :
( ( ( ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X6)
& ( aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx) ) ) )
& ( ~ aElement0(X6)
| ( ~ aElementOf0(X6,sdtmndt0(xS,xx))
& ~ equal(X6,xx) )
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aElementOf0(esk4_0,xS)
& ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
& ( ~ aElementOf0(X5,sdtmndt0(xS,xx))
| ( aElement0(X5)
& aElementOf0(X5,xS)
& ~ equal(X5,xx) ) )
& ( ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& aSet0(sdtmndt0(xS,xx)) )
| ( ( ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( aElement0(X3)
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx) ) ) )
& ( ~ aElement0(X3)
| ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
& ~ equal(X3,xx) )
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& aElementOf0(esk3_0,xS)
& ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
& ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
& ( ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ( aElement0(X2)
& aElementOf0(X2,xS)
& ~ equal(X2,xx) ) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx)) )
& aSet0(sdtmndt0(xS,xx)) ) ),
inference(shift_quantors,[status(thm)],[74]) ).
fof(76,negated_conjecture,
! [X2,X3,X5,X6] :
( ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElement0(X6)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X6,sdtmndt0(xS,xx))
| equal(X6,xx)
| ~ aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(X6,sdtmndt0(xS,xx))
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ equal(X6,xx)
| ~ aElement0(X6)
| aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(esk3_0,xS)
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aElementOf0(esk3_0,xS)
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElement0(X5)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aElementOf0(X5,xS)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ equal(X5,xx)
| ~ aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| ~ aElement0(X5)
| ~ aElementOf0(X5,xS)
| equal(X5,xx)
| aElementOf0(X5,sdtmndt0(xS,xx)) )
& ( aElement0(X3)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X3,sdtmndt0(xS,xx))
| equal(X3,xx)
| ~ aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(X3,sdtmndt0(xS,xx))
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ equal(X3,xx)
| ~ aElement0(X3)
| aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(esk3_0,xS)
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElement0(X2)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aElementOf0(X2,xS)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ equal(X2,xx)
| ~ aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( ~ aElement0(X2)
| ~ aElementOf0(X2,xS)
| equal(X2,xx)
| aElementOf0(X2,sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) )
& ( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ) ),
inference(distribute,[status(thm)],[75]) ).
cnf(77,negated_conjecture,
( aSet0(sdtmndt0(xS,xx))
| aSet0(sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(123,negated_conjecture,
( aElementOf0(X1,xS)
| aElementOf0(esk3_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(156,negated_conjecture,
( aElementOf0(X1,sdtmndt0(xS,xx))
| X1 = xx
| ~ aElementOf0(esk4_0,xS)
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(159,negated_conjecture,
( aElement0(X1)
| ~ aElementOf0(esk4_0,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(161,negated_conjecture,
( ~ aElementOf0(esk4_0,xS)
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(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(164,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS)
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(165,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk4_0,xS)
| ~ aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(174,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(175,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(esk3_0,xS) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(177,negated_conjecture,
( aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(X1)
| X1 != xx ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(227,negated_conjecture,
( X1 = xx
| aElementOf0(X1,sdtmndt0(xS,xx))
| aElementOf0(esk3_0,xS)
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(split_conjunct,[status(thm)],[76]) ).
cnf(281,plain,
( aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[37,40,theory(equality)]) ).
cnf(282,plain,
( aElement0(xx)
| $false ),
inference(rw,[status(thm)],[281,38,theory(equality)]) ).
cnf(283,plain,
aElement0(xx),
inference(cn,[status(thm)],[282,theory(equality)]) ).
cnf(403,plain,
( aElementOf0(X1,X2)
| ~ aElement0(X3)
| ~ aElementOf0(X1,sdtmndt0(X2,X3))
| ~ aSet0(X2) ),
inference(er,[status(thm)],[53,theory(equality)]) ).
cnf(421,plain,
( X1 = X2
| aElementOf0(X2,X3)
| ~ aElement0(X1)
| ~ aElementOf0(X2,sdtpldt0(X3,X1))
| ~ aSet0(X3) ),
inference(er,[status(thm)],[70,theory(equality)]) ).
cnf(434,negated_conjecture,
( ~ aElementOf0(esk4_0,xS)
| xx != esk3_0
| ~ aElement0(esk3_0) ),
inference(spm,[status(thm)],[161,164,theory(equality)]) ).
cnf(499,plain,
( aElementOf0(X4,X3)
| sdtpldt0(X2,X1) != X3
| ~ aElement0(X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[69,37]) ).
cnf(500,plain,
( aElementOf0(X1,sdtpldt0(X2,X3))
| ~ aElement0(X3)
| ~ aElementOf0(X1,X2)
| ~ aSet0(X2) ),
inference(er,[status(thm)],[499,theory(equality)]) ).
cnf(506,plain,
( X1 = X4
| aElementOf0(X4,X3)
| sdtmndt0(X2,X1) != X3
| ~ aElement0(X1)
| ~ aElementOf0(X4,X2)
| ~ aSet0(X2) ),
inference(csr,[status(thm)],[51,37]) ).
cnf(507,plain,
( X1 = X2
| aElementOf0(X2,sdtmndt0(X3,X1))
| ~ aElement0(X1)
| ~ aElementOf0(X2,X3)
| ~ aSet0(X3) ),
inference(er,[status(thm)],[506,theory(equality)]) ).
cnf(577,negated_conjecture,
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X1,sdtmndt0(xS,xx))
| ~ aElementOf0(esk4_0,xS) ),
inference(csr,[status(thm)],[165,159]) ).
cnf(580,negated_conjecture,
( ~ aElementOf0(esk4_0,xS)
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[161,577,theory(equality)]) ).
cnf(617,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| aElementOf0(esk3_0,xS) ),
inference(spm,[status(thm)],[227,175,theory(equality)]) ).
cnf(1180,plain,
( aElementOf0(esk4_0,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[177,283,theory(equality)]) ).
cnf(1187,negated_conjecture,
( xx = esk3_0
| ~ aElementOf0(esk4_0,xS)
| ~ aElement0(esk3_0)
| ~ aElementOf0(esk3_0,xS) ),
inference(spm,[status(thm)],[580,156,theory(equality)]) ).
cnf(1188,negated_conjecture,
( esk3_0 = xx
| ~ aElement0(esk3_0)
| ~ aElementOf0(esk4_0,xS) ),
inference(csr,[status(thm)],[1187,162]) ).
cnf(1189,negated_conjecture,
( ~ aElement0(esk3_0)
| ~ aElementOf0(esk4_0,xS) ),
inference(csr,[status(thm)],[1188,434]) ).
cnf(1271,negated_conjecture,
( aElementOf0(esk3_0,xS)
| aElementOf0(esk4_0,xS)
| esk4_0 = xx ),
inference(spm,[status(thm)],[123,617,theory(equality)]) ).
cnf(1323,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk3_0,xS) ),
inference(csr,[status(thm)],[1271,162]) ).
cnf(2133,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(spm,[status(thm)],[421,174,theory(equality)]) ).
cnf(2139,plain,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx)
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[421,1180,theory(equality)]) ).
cnf(2144,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| $false
| ~ aSet0(sdtmndt0(xS,xx))
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[2133,283,theory(equality)]) ).
cnf(2145,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| $false
| $false
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[2144,77,theory(equality)]) ).
cnf(2146,negated_conjecture,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk3_0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[2145,theory(equality)]) ).
cnf(2159,plain,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| $false
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(rw,[status(thm)],[2139,283,theory(equality)]) ).
cnf(2160,plain,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| $false
| $false ),
inference(rw,[status(thm)],[2159,77,theory(equality)]) ).
cnf(2161,plain,
( xx = esk4_0
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cn,[status(thm)],[2160,theory(equality)]) ).
cnf(2204,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| ~ aElement0(xx)
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[2146,500,theory(equality)]) ).
cnf(2205,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| $false
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx))
| ~ aSet0(sdtmndt0(xS,xx)) ),
inference(rw,[status(thm)],[2204,283,theory(equality)]) ).
cnf(2206,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| $false
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx))
| $false ),
inference(rw,[status(thm)],[2205,77,theory(equality)]) ).
cnf(2207,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[2206,theory(equality)]) ).
cnf(2266,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| ~ aElement0(xx)
| ~ aSet0(xS)
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(spm,[status(thm)],[403,2207,theory(equality)]) ).
cnf(2274,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| $false
| ~ aSet0(xS)
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(rw,[status(thm)],[2266,283,theory(equality)]) ).
cnf(2275,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| $false
| $false
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(rw,[status(thm)],[2274,38,theory(equality)]) ).
cnf(2276,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(cn,[status(thm)],[2275,theory(equality)]) ).
cnf(2279,negated_conjecture,
( esk4_0 = xx
| ~ aElementOf0(esk3_0,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[2276,580]) ).
cnf(2426,negated_conjecture,
( esk4_0 = xx
| xx = esk3_0
| ~ aElement0(xx)
| ~ aElementOf0(esk3_0,xS)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[2279,507,theory(equality)]) ).
cnf(2536,negated_conjecture,
( esk4_0 = xx
| xx = esk3_0
| $false
| ~ aElementOf0(esk3_0,xS)
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[2426,283,theory(equality)]) ).
cnf(2537,negated_conjecture,
( esk4_0 = xx
| xx = esk3_0
| $false
| ~ aElementOf0(esk3_0,xS)
| $false ),
inference(rw,[status(thm)],[2536,38,theory(equality)]) ).
cnf(2538,negated_conjecture,
( esk4_0 = xx
| xx = esk3_0
| ~ aElementOf0(esk3_0,xS) ),
inference(cn,[status(thm)],[2537,theory(equality)]) ).
cnf(2562,negated_conjecture,
( esk4_0 = xx
| esk3_0 = xx ),
inference(csr,[status(thm)],[2538,1323]) ).
cnf(2563,negated_conjecture,
( aElementOf0(esk3_0,xS)
| esk3_0 = xx
| ~ aElementOf0(xx,xS) ),
inference(spm,[status(thm)],[162,2562,theory(equality)]) ).
cnf(2568,negated_conjecture,
( aElementOf0(esk3_0,xS)
| esk3_0 = xx
| $false ),
inference(rw,[status(thm)],[2563,40,theory(equality)]) ).
cnf(2569,negated_conjecture,
( aElementOf0(esk3_0,xS)
| esk3_0 = xx ),
inference(cn,[status(thm)],[2568,theory(equality)]) ).
cnf(2571,negated_conjecture,
( aElement0(esk3_0)
| esk3_0 = xx
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[37,2569,theory(equality)]) ).
cnf(2576,negated_conjecture,
( aElement0(esk3_0)
| esk3_0 = xx
| $false ),
inference(rw,[status(thm)],[2571,38,theory(equality)]) ).
cnf(2577,negated_conjecture,
( aElement0(esk3_0)
| esk3_0 = xx ),
inference(cn,[status(thm)],[2576,theory(equality)]) ).
cnf(2582,negated_conjecture,
( esk3_0 = xx
| ~ aElementOf0(esk4_0,xS) ),
inference(spm,[status(thm)],[1189,2577,theory(equality)]) ).
cnf(2585,negated_conjecture,
( esk3_0 = xx
| ~ aElementOf0(xx,xS) ),
inference(spm,[status(thm)],[2582,2562,theory(equality)]) ).
cnf(2586,negated_conjecture,
( esk3_0 = xx
| $false ),
inference(rw,[status(thm)],[2585,40,theory(equality)]) ).
cnf(2587,negated_conjecture,
esk3_0 = xx,
inference(cn,[status(thm)],[2586,theory(equality)]) ).
cnf(2601,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx))
| ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(rw,[status(thm)],[2146,2587,theory(equality)]) ).
cnf(2630,negated_conjecture,
( $false
| ~ aElementOf0(esk4_0,xS) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1189,2587,theory(equality)]),283,theory(equality)]) ).
cnf(2631,negated_conjecture,
~ aElementOf0(esk4_0,xS),
inference(cn,[status(thm)],[2630,theory(equality)]) ).
cnf(2734,negated_conjecture,
( esk4_0 = xx
| aElementOf0(esk4_0,sdtmndt0(xS,xx)) ),
inference(csr,[status(thm)],[2601,2161]) ).
cnf(2764,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| ~ aElement0(xx)
| ~ aSet0(xS) ),
inference(spm,[status(thm)],[403,2734,theory(equality)]) ).
cnf(2789,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| $false
| ~ aSet0(xS) ),
inference(rw,[status(thm)],[2764,283,theory(equality)]) ).
cnf(2790,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx
| $false
| $false ),
inference(rw,[status(thm)],[2789,38,theory(equality)]) ).
cnf(2791,negated_conjecture,
( aElementOf0(esk4_0,xS)
| esk4_0 = xx ),
inference(cn,[status(thm)],[2790,theory(equality)]) ).
cnf(2792,negated_conjecture,
esk4_0 = xx,
inference(sr,[status(thm)],[2791,2631,theory(equality)]) ).
cnf(2797,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2631,2792,theory(equality)]),40,theory(equality)]) ).
cnf(2798,negated_conjecture,
$false,
inference(cn,[status(thm)],[2797,theory(equality)]) ).
cnf(2799,negated_conjecture,
$false,
2798,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM535+2 : 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 : n098.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 08:29:45 CST 2018
% 0.03/0.23 % CPUTime :
% 0.07/0.27 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.27 --creating new selector for []
% 0.07/0.40 -running prover on /export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1 with time limit 29
% 0.07/0.40 -running prover with command ['/export/starexec/sandbox2/solver/bin/Source/./Source/PROVER/eproof.working', '-s', '-tLPO4', '-xAuto', '-tAuto', '--memory-limit=768', '--tptp3-format', '--cpu-limit=29', '/export/starexec/sandbox2/tmp/tmpzaa1Ly/sel_theBenchmark.p_1']
% 0.07/0.40 -prover status Theorem
% 0.07/0.40 Problem theBenchmark.p solved in phase 0.
% 0.07/0.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.40 % SZS status Ended for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.40 Solved 1 out of 1.
% 0.07/0.40 # Problem is unsatisfiable (or provable), constructing proof object
% 0.07/0.40 # SZS status Theorem
% 0.07/0.40 # SZS output start CNFRefutation.
% See solution above
% 0.07/0.40 # SZS output end CNFRefutation
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