TSTP Solution File: COM019+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : COM019+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 05:48:22 EST 2010
% Result : Theorem 10.65s
% Output : CNFRefutation 10.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 10
% Syntax : Number of formulae : 110 ( 25 unt; 0 def)
% Number of atoms : 3409 ( 424 equ)
% Maximal formula atoms : 2495 ( 30 avg)
% Number of connectives : 5522 (2223 ~;2695 |; 595 &)
% ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 288 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-3 aty)
% Number of variables : 171 ( 3 sgn 95 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& ( X1 = X2
| aReductOfIn0(X2,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2)
| sdtmndtasgtdt0(X1,xR,X2) )
& ( X1 = X3
| aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& aReductOfIn0(X4,X1,xR)
& sdtmndtplgtdt0(X4,xR,X3) )
| sdtmndtplgtdt0(X1,xR,X3)
| sdtmndtasgtdt0(X1,xR,X3) ) )
=> ( iLess0(X1,xa)
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) ) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__715) ).
fof(4,axiom,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ~ ? [X1] : aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__818) ).
fof(5,axiom,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xv,xR)
& sdtmndtplgtdt0(X1,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__799) ).
fof(6,axiom,
aRewritingSystem0(xR),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__656) ).
fof(9,axiom,
! [X1,X2,X3] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3) )
=> ( sdtmndtasgtdt0(X1,X2,X3)
<=> ( X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) ) ) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',mTCRDef) ).
fof(13,conjecture,
( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__) ).
fof(14,axiom,
( aElement0(xa)
& aElement0(xb)
& aElement0(xc) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__731) ).
fof(15,axiom,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xu,xR)
& sdtmndtplgtdt0(X1,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__755) ).
fof(22,axiom,
( ! [X1,X2,X3] :
( ( aElement0(X1)
& aElement0(X2)
& aElement0(X3)
& aReductOfIn0(X2,X1,xR)
& aReductOfIn0(X3,X1,xR) )
=> ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> ( ( aReductOfIn0(X2,X1,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,X1,xR)
& sdtmndtplgtdt0(X3,xR,X2) )
| sdtmndtplgtdt0(X1,xR,X2) )
=> iLess0(X2,X1) ) )
& isTerminating0(xR) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',m__656_01) ).
fof(23,axiom,
! [X1,X2,X3,X4] :
( ( aElement0(X1)
& aRewritingSystem0(X2)
& aElement0(X3)
& aElement0(X4) )
=> ( ( sdtmndtasgtdt0(X1,X2,X3)
& sdtmndtasgtdt0(X3,X2,X4) )
=> sdtmndtasgtdt0(X1,X2,X4) ) ),
file('/tmp/tmpqN7EsJ/sel_COM019+4.p_1',mTCRTrans) ).
fof(25,negated_conjecture,
~ ( xb = xd
| aReductOfIn0(xd,xb,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xb,xR)
& sdtmndtplgtdt0(X1,xR,xd) )
| sdtmndtplgtdt0(xb,xR,xd)
| sdtmndtasgtdt0(xb,xR,xd) ),
inference(assume_negation,[status(cth)],[13]) ).
fof(43,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ( X1 != X2
& ~ aReductOfIn0(X2,X1,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X2) )
& ~ sdtmndtplgtdt0(X1,xR,X2)
& ~ sdtmndtasgtdt0(X1,xR,X2) )
| ( X1 != X3
& ~ aReductOfIn0(X3,X1,xR)
& ! [X4] :
( ~ aElement0(X4)
| ~ aReductOfIn0(X4,X1,xR)
| ~ sdtmndtplgtdt0(X4,xR,X3) )
& ~ sdtmndtplgtdt0(X1,xR,X3)
& ~ sdtmndtasgtdt0(X1,xR,X3) )
| ~ iLess0(X1,xa)
| ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(44,plain,
! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ( X6 != X7
& ~ aReductOfIn0(X7,X6,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X6,xR,X7)
& ~ sdtmndtasgtdt0(X6,xR,X7) )
| ( X6 != X8
& ~ aReductOfIn0(X8,X6,xR)
& ! [X10] :
( ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ~ sdtmndtplgtdt0(X6,xR,X8)
& ~ sdtmndtasgtdt0(X6,xR,X8) )
| ~ iLess0(X6,xa)
| ? [X11] :
( aElement0(X11)
& ( X7 = X11
| ( ( aReductOfIn0(X11,X7,xR)
| ? [X12] :
( aElement0(X12)
& aReductOfIn0(X12,X7,xR)
& sdtmndtplgtdt0(X12,xR,X11) ) )
& sdtmndtplgtdt0(X7,xR,X11) ) )
& sdtmndtasgtdt0(X7,xR,X11)
& ( X8 = X11
| ( ( aReductOfIn0(X11,X8,xR)
| ? [X13] :
( aElement0(X13)
& aReductOfIn0(X13,X8,xR)
& sdtmndtplgtdt0(X13,xR,X11) ) )
& sdtmndtplgtdt0(X8,xR,X11) ) )
& sdtmndtasgtdt0(X8,xR,X11) ) ),
inference(variable_rename,[status(thm)],[43]) ).
fof(45,plain,
! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ( X6 != X7
& ~ aReductOfIn0(X7,X6,xR)
& ! [X9] :
( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& ~ sdtmndtplgtdt0(X6,xR,X7)
& ~ sdtmndtasgtdt0(X6,xR,X7) )
| ( X6 != X8
& ~ aReductOfIn0(X8,X6,xR)
& ! [X10] :
( ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ~ sdtmndtplgtdt0(X6,xR,X8)
& ~ sdtmndtasgtdt0(X6,xR,X8) )
| ~ iLess0(X6,xa)
| ( aElement0(esk5_3(X6,X7,X8))
& ( X7 = esk5_3(X6,X7,X8)
| ( ( aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| ( aElement0(esk6_3(X6,X7,X8))
& aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
& ( X8 = esk5_3(X6,X7,X8)
| ( ( aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| ( aElement0(esk7_3(X6,X7,X8))
& aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8)) ) ),
inference(skolemize,[status(esa)],[44]) ).
fof(46,plain,
! [X6,X7,X8,X9,X10] :
( ( ( ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& X6 != X8
& ~ aReductOfIn0(X8,X6,xR)
& ~ sdtmndtplgtdt0(X6,xR,X8)
& ~ sdtmndtasgtdt0(X6,xR,X8) )
| ( ( ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7) )
& X6 != X7
& ~ aReductOfIn0(X7,X6,xR)
& ~ sdtmndtplgtdt0(X6,xR,X7)
& ~ sdtmndtasgtdt0(X6,xR,X7) )
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ iLess0(X6,xa)
| ( aElement0(esk5_3(X6,X7,X8))
& ( X7 = esk5_3(X6,X7,X8)
| ( ( aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| ( aElement0(esk6_3(X6,X7,X8))
& aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
& ( X8 = esk5_3(X6,X7,X8)
| ( ( aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| ( aElement0(esk7_3(X6,X7,X8))
& aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8)) ) ),
inference(shift_quantors,[status(thm)],[45]) ).
fof(47,plain,
! [X6,X7,X8,X9,X10] :
( ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aElement0(X10)
| ~ aReductOfIn0(X10,X6,xR)
| ~ sdtmndtplgtdt0(X10,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| X6 != X8 )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aElement0(X9)
| ~ aReductOfIn0(X9,X6,xR)
| ~ sdtmndtplgtdt0(X9,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| X6 != X7
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtplgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk6_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk6_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk6_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X7,xR)
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X7,xR,esk5_3(X6,X7,X8))
| X7 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X7,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aElement0(esk7_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( aReductOfIn0(esk7_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(esk7_3(X6,X7,X8),xR,esk5_3(X6,X7,X8))
| aReductOfIn0(esk5_3(X6,X7,X8),X8,xR)
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtplgtdt0(X8,xR,esk5_3(X6,X7,X8))
| X8 = esk5_3(X6,X7,X8)
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) )
& ( sdtmndtasgtdt0(X8,xR,esk5_3(X6,X7,X8))
| ~ iLess0(X6,xa)
| ~ sdtmndtasgtdt0(X6,xR,X7)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X6,xR,X8) ) ),
inference(distribute,[status(thm)],[46]) ).
cnf(53,plain,
( sdtmndtasgtdt0(X3,xR,esk5_3(X1,X3,X2))
| ~ sdtmndtasgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(106,plain,
( X2 = esk5_3(X1,X3,X2)
| aReductOfIn0(esk5_3(X1,X3,X2),X2,xR)
| aReductOfIn0(esk7_3(X1,X3,X2),X2,xR)
| ~ sdtmndtplgtdt0(X1,xR,X2)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aElement0(X1)
| ~ sdtmndtasgtdt0(X1,xR,X3)
| ~ iLess0(X1,xa) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(323,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X1] :
( aElement0(X1)
& aReductOfIn0(X1,xw,xR)
& sdtmndtplgtdt0(X1,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X1] : ~ aReductOfIn0(X1,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(324,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xw,xR)
& sdtmndtplgtdt0(X2,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X3] : ~ aReductOfIn0(X3,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(variable_rename,[status(thm)],[323]) ).
fof(325,plain,
( aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(esk8_0)
& aReductOfIn0(esk8_0,xw,xR)
& sdtmndtplgtdt0(esk8_0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& ! [X3] : ~ aReductOfIn0(X3,xd,xR)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(skolemize,[status(esa)],[324]) ).
fof(326,plain,
! [X3] :
( ~ aReductOfIn0(X3,xd,xR)
& aElement0(xd)
& ( xw = xd
| ( ( aReductOfIn0(xd,xw,xR)
| ( aElement0(esk8_0)
& aReductOfIn0(esk8_0,xw,xR)
& sdtmndtplgtdt0(esk8_0,xR,xd) ) )
& sdtmndtplgtdt0(xw,xR,xd) ) )
& sdtmndtasgtdt0(xw,xR,xd)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(shift_quantors,[status(thm)],[325]) ).
fof(327,plain,
! [X3] :
( ~ aReductOfIn0(X3,xd,xR)
& aElement0(xd)
& ( aElement0(esk8_0)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( aReductOfIn0(esk8_0,xw,xR)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(esk8_0,xR,xd)
| aReductOfIn0(xd,xw,xR)
| xw = xd )
& ( sdtmndtplgtdt0(xw,xR,xd)
| xw = xd )
& sdtmndtasgtdt0(xw,xR,xd)
& aNormalFormOfIn0(xd,xw,xR) ),
inference(distribute,[status(thm)],[326]) ).
cnf(329,plain,
sdtmndtasgtdt0(xw,xR,xd),
inference(split_conjunct,[status(thm)],[327]) ).
cnf(334,plain,
aElement0(xd),
inference(split_conjunct,[status(thm)],[327]) ).
cnf(335,plain,
~ aReductOfIn0(X1,xd,xR),
inference(split_conjunct,[status(thm)],[327]) ).
fof(336,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ? [X3] :
( aElement0(X3)
& aReductOfIn0(X3,xv,xR)
& sdtmndtplgtdt0(X3,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(337,plain,
( aElement0(xw)
& ( xu = xw
| ( ( aReductOfIn0(xw,xu,xR)
| ( aElement0(esk9_0)
& aReductOfIn0(esk9_0,xu,xR)
& sdtmndtplgtdt0(esk9_0,xR,xw) ) )
& sdtmndtplgtdt0(xu,xR,xw) ) )
& sdtmndtasgtdt0(xu,xR,xw)
& ( xv = xw
| ( ( aReductOfIn0(xw,xv,xR)
| ( aElement0(esk10_0)
& aReductOfIn0(esk10_0,xv,xR)
& sdtmndtplgtdt0(esk10_0,xR,xw) ) )
& sdtmndtplgtdt0(xv,xR,xw) ) )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(skolemize,[status(esa)],[336]) ).
fof(338,plain,
( aElement0(xw)
& ( aElement0(esk9_0)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( aReductOfIn0(esk9_0,xu,xR)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(esk9_0,xR,xw)
| aReductOfIn0(xw,xu,xR)
| xu = xw )
& ( sdtmndtplgtdt0(xu,xR,xw)
| xu = xw )
& sdtmndtasgtdt0(xu,xR,xw)
& ( aElement0(esk10_0)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( aReductOfIn0(esk10_0,xv,xR)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(esk10_0,xR,xw)
| aReductOfIn0(xw,xv,xR)
| xv = xw )
& ( sdtmndtplgtdt0(xv,xR,xw)
| xv = xw )
& sdtmndtasgtdt0(xv,xR,xw) ),
inference(distribute,[status(thm)],[337]) ).
cnf(344,plain,
sdtmndtasgtdt0(xu,xR,xw),
inference(split_conjunct,[status(thm)],[338]) ).
cnf(347,plain,
( xu = xw
| aReductOfIn0(xw,xu,xR)
| aReductOfIn0(esk9_0,xu,xR) ),
inference(split_conjunct,[status(thm)],[338]) ).
cnf(349,plain,
aElement0(xw),
inference(split_conjunct,[status(thm)],[338]) ).
cnf(350,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[6]) ).
fof(360,plain,
! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ( ( ~ sdtmndtasgtdt0(X1,X2,X3)
| X1 = X3
| sdtmndtplgtdt0(X1,X2,X3) )
& ( ( X1 != X3
& ~ sdtmndtplgtdt0(X1,X2,X3) )
| sdtmndtasgtdt0(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(361,plain,
! [X4,X5,X6] :
( ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6)
| ( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6) )
& ( ( X4 != X6
& ~ sdtmndtplgtdt0(X4,X5,X6) )
| sdtmndtasgtdt0(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[360]) ).
fof(362,plain,
! [X4,X5,X6] :
( ( ~ sdtmndtasgtdt0(X4,X5,X6)
| X4 = X6
| sdtmndtplgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( X4 != X6
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) )
& ( ~ sdtmndtplgtdt0(X4,X5,X6)
| sdtmndtasgtdt0(X4,X5,X6)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X5)
| ~ aElement0(X6) ) ),
inference(distribute,[status(thm)],[361]) ).
cnf(365,plain,
( sdtmndtplgtdt0(X3,X2,X1)
| X3 = X1
| ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ sdtmndtasgtdt0(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[362]) ).
fof(394,negated_conjecture,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [X1] :
( ~ aElement0(X1)
| ~ aReductOfIn0(X1,xb,xR)
| ~ sdtmndtplgtdt0(X1,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(395,negated_conjecture,
( xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ! [X2] :
( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xb,xR)
| ~ sdtmndtplgtdt0(X2,xR,xd) )
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(variable_rename,[status(thm)],[394]) ).
fof(396,negated_conjecture,
! [X2] :
( ( ~ aElement0(X2)
| ~ aReductOfIn0(X2,xb,xR)
| ~ sdtmndtplgtdt0(X2,xR,xd) )
& xb != xd
& ~ aReductOfIn0(xd,xb,xR)
& ~ sdtmndtplgtdt0(xb,xR,xd)
& ~ sdtmndtasgtdt0(xb,xR,xd) ),
inference(shift_quantors,[status(thm)],[395]) ).
cnf(397,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(split_conjunct,[status(thm)],[396]) ).
cnf(400,negated_conjecture,
xb != xd,
inference(split_conjunct,[status(thm)],[396]) ).
cnf(403,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[14]) ).
cnf(404,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[14]) ).
fof(405,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ? [X2] :
( aElement0(X2)
& aReductOfIn0(X2,xu,xR)
& sdtmndtplgtdt0(X2,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(variable_rename,[status(thm)],[15]) ).
fof(406,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( xu = xb
| ( ( aReductOfIn0(xb,xu,xR)
| ( aElement0(esk18_0)
& aReductOfIn0(esk18_0,xu,xR)
& sdtmndtplgtdt0(esk18_0,xR,xb) ) )
& sdtmndtplgtdt0(xu,xR,xb) ) )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(skolemize,[status(esa)],[405]) ).
fof(407,plain,
( aElement0(xu)
& aReductOfIn0(xu,xa,xR)
& ( aElement0(esk18_0)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( aReductOfIn0(esk18_0,xu,xR)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(esk18_0,xR,xb)
| aReductOfIn0(xb,xu,xR)
| xu = xb )
& ( sdtmndtplgtdt0(xu,xR,xb)
| xu = xb )
& sdtmndtasgtdt0(xu,xR,xb) ),
inference(distribute,[status(thm)],[406]) ).
cnf(408,plain,
sdtmndtasgtdt0(xu,xR,xb),
inference(split_conjunct,[status(thm)],[407]) ).
cnf(411,plain,
( xu = xb
| aReductOfIn0(xb,xu,xR)
| aReductOfIn0(esk18_0,xu,xR) ),
inference(split_conjunct,[status(thm)],[407]) ).
cnf(413,plain,
aReductOfIn0(xu,xa,xR),
inference(split_conjunct,[status(thm)],[407]) ).
cnf(414,plain,
aElement0(xu),
inference(split_conjunct,[status(thm)],[407]) ).
fof(460,plain,
( ! [X1,X2,X3] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(X3)
| ~ aReductOfIn0(X2,X1,xR)
| ~ aReductOfIn0(X3,X1,xR)
| ? [X4] :
( aElement0(X4)
& ( X2 = X4
| ( ( aReductOfIn0(X4,X2,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X2,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X2,xR,X4) ) )
& sdtmndtasgtdt0(X2,xR,X4)
& ( X3 = X4
| ( ( aReductOfIn0(X4,X3,xR)
| ? [X5] :
( aElement0(X5)
& aReductOfIn0(X5,X3,xR)
& sdtmndtplgtdt0(X5,xR,X4) ) )
& sdtmndtplgtdt0(X3,xR,X4) ) )
& sdtmndtasgtdt0(X3,xR,X4) ) )
& isLocallyConfluent0(xR)
& ! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| ( ~ aReductOfIn0(X2,X1,xR)
& ! [X3] :
( ~ aElement0(X3)
| ~ aReductOfIn0(X3,X1,xR)
| ~ sdtmndtplgtdt0(X3,xR,X2) )
& ~ sdtmndtplgtdt0(X1,xR,X2) )
| iLess0(X2,X1) )
& isTerminating0(xR) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(461,plain,
( ! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ? [X9] :
( aElement0(X9)
& ( X7 = X9
| ( ( aReductOfIn0(X9,X7,xR)
| ? [X10] :
( aElement0(X10)
& aReductOfIn0(X10,X7,xR)
& sdtmndtplgtdt0(X10,xR,X9) ) )
& sdtmndtplgtdt0(X7,xR,X9) ) )
& sdtmndtasgtdt0(X7,xR,X9)
& ( X8 = X9
| ( ( aReductOfIn0(X9,X8,xR)
| ? [X11] :
( aElement0(X11)
& aReductOfIn0(X11,X8,xR)
& sdtmndtplgtdt0(X11,xR,X9) ) )
& sdtmndtplgtdt0(X8,xR,X9) ) )
& sdtmndtasgtdt0(X8,xR,X9) ) )
& isLocallyConfluent0(xR)
& ! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| ( ~ aReductOfIn0(X13,X12,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12) )
& isTerminating0(xR) ),
inference(variable_rename,[status(thm)],[460]) ).
fof(462,plain,
( ! [X6,X7,X8] :
( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ( aElement0(esk24_3(X6,X7,X8))
& ( X7 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| ( aElement0(esk25_3(X6,X7,X8))
& aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
& ( X8 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| ( aElement0(esk26_3(X6,X7,X8))
& aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& isLocallyConfluent0(xR)
& ! [X12,X13] :
( ~ aElement0(X12)
| ~ aElement0(X13)
| ( ~ aReductOfIn0(X13,X12,xR)
& ! [X14] :
( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12) )
& isTerminating0(xR) ),
inference(skolemize,[status(esa)],[461]) ).
fof(463,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ( ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13) )
& ~ aReductOfIn0(X13,X12,xR)
& ~ sdtmndtplgtdt0(X12,xR,X13) )
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR)
| ( aElement0(esk24_3(X6,X7,X8))
& ( X7 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| ( aElement0(esk25_3(X6,X7,X8))
& aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
& sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
& ( X8 = esk24_3(X6,X7,X8)
| ( ( aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| ( aElement0(esk26_3(X6,X7,X8))
& aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
& sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8)) ) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(shift_quantors,[status(thm)],[462]) ).
fof(464,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ~ aElement0(X14)
| ~ aReductOfIn0(X14,X12,xR)
| ~ sdtmndtplgtdt0(X14,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ aReductOfIn0(X13,X12,xR)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( ~ sdtmndtplgtdt0(X12,xR,X13)
| iLess0(X13,X12)
| ~ aElement0(X12)
| ~ aElement0(X13) )
& ( aElement0(esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk25_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk25_3(X6,X7,X8),X7,xR)
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk25_3(X6,X7,X8),xR,esk24_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X7,xR)
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X7,xR,esk24_3(X6,X7,X8))
| X7 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X7,xR,esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aElement0(esk26_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( aReductOfIn0(esk26_3(X6,X7,X8),X8,xR)
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(esk26_3(X6,X7,X8),xR,esk24_3(X6,X7,X8))
| aReductOfIn0(esk24_3(X6,X7,X8),X8,xR)
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtplgtdt0(X8,xR,esk24_3(X6,X7,X8))
| X8 = esk24_3(X6,X7,X8)
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& ( sdtmndtasgtdt0(X8,xR,esk24_3(X6,X7,X8))
| ~ aElement0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ aReductOfIn0(X7,X6,xR)
| ~ aReductOfIn0(X8,X6,xR) )
& isLocallyConfluent0(xR)
& isTerminating0(xR) ),
inference(distribute,[status(thm)],[463]) ).
cnf(479,plain,
( iLess0(X1,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aReductOfIn0(X1,X2,xR) ),
inference(split_conjunct,[status(thm)],[464]) ).
fof(481,plain,
! [X1,X2,X3,X4] :
( ~ aElement0(X1)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X3,X2,X4)
| sdtmndtasgtdt0(X1,X2,X4) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(482,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtasgtdt0(X5,X6,X7)
| ~ sdtmndtasgtdt0(X7,X6,X8)
| sdtmndtasgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[481]) ).
cnf(483,plain,
( sdtmndtasgtdt0(X1,X2,X3)
| ~ sdtmndtasgtdt0(X4,X2,X3)
| ~ sdtmndtasgtdt0(X1,X2,X4)
| ~ aElement0(X3)
| ~ aElement0(X4)
| ~ aRewritingSystem0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[482]) ).
cnf(524,plain,
( iLess0(xu,xa)
| ~ aElement0(xa)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[479,413,theory(equality)]) ).
cnf(531,plain,
( iLess0(xu,xa)
| $false
| ~ aElement0(xu) ),
inference(rw,[status(thm)],[524,404,theory(equality)]) ).
cnf(532,plain,
( iLess0(xu,xa)
| $false
| $false ),
inference(rw,[status(thm)],[531,414,theory(equality)]) ).
cnf(533,plain,
iLess0(xu,xa),
inference(cn,[status(thm)],[532,theory(equality)]) ).
cnf(1128,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(xw)
| ~ aElement0(xd)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[483,329,theory(equality)]) ).
cnf(1135,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| ~ aElement0(xd)
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[1128,349,theory(equality)]) ).
cnf(1136,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| $false
| ~ aElement0(X1)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[1135,334,theory(equality)]) ).
cnf(1137,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| $false
| $false
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[1136,350,theory(equality)]) ).
cnf(1138,plain,
( sdtmndtasgtdt0(X1,xR,xd)
| ~ sdtmndtasgtdt0(X1,xR,xw)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[1137,theory(equality)]) ).
cnf(2661,plain,
( sdtmndtasgtdt0(X1,xR,esk5_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[53,533,theory(equality)]) ).
cnf(2753,plain,
( esk5_3(xu,X1,X2) = X2
| aReductOfIn0(esk7_3(xu,X1,X2),X2,xR)
| aReductOfIn0(esk5_3(xu,X1,X2),X2,xR)
| ~ sdtmndtplgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[106,533,theory(equality)]) ).
cnf(2856,plain,
( sdtmndtasgtdt0(X1,xR,esk5_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2)
| $false ),
inference(rw,[status(thm)],[2661,414,theory(equality)]) ).
cnf(2857,plain,
( sdtmndtasgtdt0(X1,xR,esk5_3(xu,X1,X2))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ sdtmndtasgtdt0(xu,xR,X2)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[2856,theory(equality)]) ).
cnf(3040,plain,
( esk5_3(xu,X1,X2) = X2
| aReductOfIn0(esk7_3(xu,X1,X2),X2,xR)
| aReductOfIn0(esk5_3(xu,X1,X2),X2,xR)
| ~ sdtmndtplgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2)
| $false ),
inference(rw,[status(thm)],[2753,414,theory(equality)]) ).
cnf(3041,plain,
( esk5_3(xu,X1,X2) = X2
| aReductOfIn0(esk7_3(xu,X1,X2),X2,xR)
| aReductOfIn0(esk5_3(xu,X1,X2),X2,xR)
| ~ sdtmndtplgtdt0(xu,xR,X2)
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[3040,theory(equality)]) ).
cnf(5644,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[1138,344,theory(equality)]) ).
cnf(5646,plain,
( sdtmndtasgtdt0(xu,xR,xd)
| $false ),
inference(rw,[status(thm)],[5644,414,theory(equality)]) ).
cnf(5647,plain,
sdtmndtasgtdt0(xu,xR,xd),
inference(cn,[status(thm)],[5646,theory(equality)]) ).
cnf(5650,plain,
( xd = xu
| sdtmndtplgtdt0(xu,xR,xd)
| ~ aElement0(xu)
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR) ),
inference(spm,[status(thm)],[365,5647,theory(equality)]) ).
cnf(5656,plain,
( xd = xu
| sdtmndtplgtdt0(xu,xR,xd)
| $false
| ~ aElement0(xd)
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[5650,414,theory(equality)]) ).
cnf(5657,plain,
( xd = xu
| sdtmndtplgtdt0(xu,xR,xd)
| $false
| $false
| ~ aRewritingSystem0(xR) ),
inference(rw,[status(thm)],[5656,334,theory(equality)]) ).
cnf(5658,plain,
( xd = xu
| sdtmndtplgtdt0(xu,xR,xd)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[5657,350,theory(equality)]) ).
cnf(5659,plain,
( xd = xu
| sdtmndtplgtdt0(xu,xR,xd) ),
inference(cn,[status(thm)],[5658,theory(equality)]) ).
cnf(94988,plain,
( sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,X1))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(xb)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[2857,408,theory(equality)]) ).
cnf(95053,plain,
( sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,X1))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| $false
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[94988,403,theory(equality)]) ).
cnf(95054,plain,
( sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,X1))
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[95053,theory(equality)]) ).
cnf(111129,plain,
( sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,xd))
| ~ aElement0(xd) ),
inference(spm,[status(thm)],[95054,5647,theory(equality)]) ).
cnf(111196,plain,
( sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,xd))
| $false ),
inference(rw,[status(thm)],[111129,334,theory(equality)]) ).
cnf(111197,plain,
sdtmndtasgtdt0(xb,xR,esk5_3(xu,xb,xd)),
inference(cn,[status(thm)],[111196,theory(equality)]) ).
cnf(124537,plain,
( esk5_3(xu,X1,xd) = xd
| aReductOfIn0(esk5_3(xu,X1,xd),xd,xR)
| aReductOfIn0(esk7_3(xu,X1,xd),xd,xR)
| xd = xu
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| ~ aElement0(xd) ),
inference(spm,[status(thm)],[3041,5659,theory(equality)]) ).
cnf(124568,plain,
( esk5_3(xu,X1,xd) = xd
| aReductOfIn0(esk5_3(xu,X1,xd),xd,xR)
| aReductOfIn0(esk7_3(xu,X1,xd),xd,xR)
| xd = xu
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1)
| $false ),
inference(rw,[status(thm)],[124537,334,theory(equality)]) ).
cnf(124569,plain,
( esk5_3(xu,X1,xd) = xd
| aReductOfIn0(esk5_3(xu,X1,xd),xd,xR)
| aReductOfIn0(esk7_3(xu,X1,xd),xd,xR)
| xd = xu
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(cn,[status(thm)],[124568,theory(equality)]) ).
cnf(124570,plain,
( esk5_3(xu,X1,xd) = xd
| aReductOfIn0(esk7_3(xu,X1,xd),xd,xR)
| xd = xu
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[124569,335,theory(equality)]) ).
cnf(124571,plain,
( esk5_3(xu,X1,xd) = xd
| xd = xu
| ~ sdtmndtasgtdt0(xu,xR,X1)
| ~ aElement0(X1) ),
inference(sr,[status(thm)],[124570,335,theory(equality)]) ).
cnf(124608,plain,
( esk5_3(xu,xb,xd) = xd
| xd = xu
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[124571,408,theory(equality)]) ).
cnf(124679,plain,
( esk5_3(xu,xb,xd) = xd
| xd = xu
| $false ),
inference(rw,[status(thm)],[124608,403,theory(equality)]) ).
cnf(124680,plain,
( esk5_3(xu,xb,xd) = xd
| xd = xu ),
inference(cn,[status(thm)],[124679,theory(equality)]) ).
cnf(124778,plain,
( sdtmndtasgtdt0(xb,xR,xd)
| xd = xu ),
inference(spm,[status(thm)],[111197,124680,theory(equality)]) ).
cnf(124829,plain,
xd = xu,
inference(sr,[status(thm)],[124778,397,theory(equality)]) ).
cnf(125003,plain,
~ aReductOfIn0(X1,xu,xR),
inference(rw,[status(thm)],[335,124829,theory(equality)]) ).
cnf(125007,negated_conjecture,
xu != xb,
inference(rw,[status(thm)],[400,124829,theory(equality)]) ).
cnf(126883,plain,
( aReductOfIn0(esk18_0,xu,xR)
| aReductOfIn0(xb,xu,xR) ),
inference(sr,[status(thm)],[411,125007,theory(equality)]) ).
cnf(127225,plain,
( xu = xw
| aReductOfIn0(xw,xu,xR) ),
inference(sr,[status(thm)],[347,125003,theory(equality)]) ).
cnf(127226,plain,
xu = xw,
inference(sr,[status(thm)],[127225,125003,theory(equality)]) ).
cnf(127607,plain,
~ aReductOfIn0(X1,xw,xR),
inference(rw,[status(thm)],[125003,127226,theory(equality)]) ).
cnf(131050,plain,
( aReductOfIn0(esk18_0,xw,xR)
| aReductOfIn0(xb,xu,xR) ),
inference(rw,[status(thm)],[126883,127226,theory(equality)]) ).
cnf(131051,plain,
( aReductOfIn0(esk18_0,xw,xR)
| aReductOfIn0(xb,xw,xR) ),
inference(rw,[status(thm)],[131050,127226,theory(equality)]) ).
cnf(131052,plain,
aReductOfIn0(xb,xw,xR),
inference(sr,[status(thm)],[131051,127607,theory(equality)]) ).
cnf(131053,plain,
$false,
inference(sr,[status(thm)],[131052,127607,theory(equality)]) ).
cnf(131054,plain,
$false,
131053,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/COM/COM019+4.p
% --creating new selector for []
% -running prover on /tmp/tmpqN7EsJ/sel_COM019+4.p_1 with time limit 29
% -prover status Theorem
% Problem COM019+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/COM/COM019+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/COM/COM019+4.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above