TSTP Solution File: RNG109+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG109+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 : Sun Dec 26 02:24:45 EST 2010
% Result : Theorem 0.42s
% Output : CNFRefutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 66 ( 10 unt; 0 def)
% Number of atoms : 446 ( 138 equ)
% Maximal formula atoms : 33 ( 6 avg)
% Number of connectives : 577 ( 197 ~; 199 |; 165 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 178 ( 0 sgn 105 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(21,axiom,
( xa != sz00
| xb != sz00 ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',m__2110) ).
fof(23,axiom,
( aSet0(xI)
& ! [X1] :
( aElementOf0(X1,xI)
=> ( ! [X2] :
( aElementOf0(X2,xI)
=> aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xa))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xb))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ! [X1] :
( aElementOf0(X1,xI)
<=> ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',m__2174) ).
fof(28,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',mSortsB_02) ).
fof(33,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',m__2091) ).
fof(35,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',mAddZero) ).
fof(37,axiom,
( ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = sz00 )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xa,X1) = xa )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = sz00 )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xb,X1) = xb )
& aElementOf0(xb,slsdtgt0(xb)) ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',m__2203) ).
fof(44,conjecture,
? [X1] :
( ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
=> ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) )
& X1 != sz00 ),
file('/tmp/tmpWJBK4B/sel_RNG109+4.p_1',m__) ).
fof(45,negated_conjecture,
~ ? [X1] :
( ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xa))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xb))
<=> ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
=> ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) )
& X1 != sz00 ),
inference(assume_negation,[status(cth)],[44]) ).
cnf(184,plain,
( xb != sz00
| xa != sz00 ),
inference(split_conjunct,[status(thm)],[21]) ).
fof(186,plain,
( aSet0(xI)
& ! [X1] :
( ~ aElementOf0(X1,xI)
| ( ! [X2] :
( ~ aElementOf0(X2,xI)
| aElementOf0(sdtpldt0(X1,X2),xI) )
& ! [X2] :
( ~ aElement0(X2)
| aElementOf0(sdtasdt0(X2,X1),xI) ) ) )
& aIdeal0(xI)
& ! [X1] :
( ( ~ aElementOf0(X1,slsdtgt0(xa))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = X1 ) )
& ( ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xa,X2) != X1 )
| aElementOf0(X1,slsdtgt0(xa)) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,slsdtgt0(xb))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xb,X2) = X1 ) )
& ( ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xb,X2) != X1 )
| aElementOf0(X1,slsdtgt0(xb)) ) )
& ! [X1] :
( ( ~ aElementOf0(X1,xI)
| ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 ) )
& ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
| aElementOf0(X1,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(187,plain,
( aSet0(xI)
& ! [X4] :
( ~ aElementOf0(X4,xI)
| ( ! [X5] :
( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X4,X5),xI) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI) ) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ? [X8] :
( aElement0(X8)
& sdtasdt0(xa,X8) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7 )
| aElementOf0(X7,slsdtgt0(xa)) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,slsdtgt0(xb))
| ? [X11] :
( aElement0(X11)
& sdtasdt0(xb,X11) = X10 ) )
& ( ! [X12] :
( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10 )
| aElementOf0(X10,slsdtgt0(xb)) ) )
& ! [X13] :
( ( ~ aElementOf0(X13,xI)
| ? [X14,X15] :
( aElementOf0(X14,slsdtgt0(xa))
& aElementOf0(X15,slsdtgt0(xb))
& sdtpldt0(X14,X15) = X13 ) )
& ( ! [X16,X17] :
( ~ aElementOf0(X16,slsdtgt0(xa))
| ~ aElementOf0(X17,slsdtgt0(xb))
| sdtpldt0(X16,X17) != X13 )
| aElementOf0(X13,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(variable_rename,[status(thm)],[186]) ).
fof(188,plain,
( aSet0(xI)
& ! [X4] :
( ~ aElementOf0(X4,xI)
| ( ! [X5] :
( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X4,X5),xI) )
& ! [X6] :
( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI) ) ) )
& aIdeal0(xI)
& ! [X7] :
( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ( aElement0(esk12_1(X7))
& sdtasdt0(xa,esk12_1(X7)) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7 )
| aElementOf0(X7,slsdtgt0(xa)) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk13_1(X10))
& sdtasdt0(xb,esk13_1(X10)) = X10 ) )
& ( ! [X12] :
( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10 )
| aElementOf0(X10,slsdtgt0(xb)) ) )
& ! [X13] :
( ( ~ aElementOf0(X13,xI)
| ( aElementOf0(esk14_1(X13),slsdtgt0(xa))
& aElementOf0(esk15_1(X13),slsdtgt0(xb))
& sdtpldt0(esk14_1(X13),esk15_1(X13)) = X13 ) )
& ( ! [X16,X17] :
( ~ aElementOf0(X16,slsdtgt0(xa))
| ~ aElementOf0(X17,slsdtgt0(xb))
| sdtpldt0(X16,X17) != X13 )
| aElementOf0(X13,xI) ) )
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(skolemize,[status(esa)],[187]) ).
fof(189,plain,
! [X4,X5,X6,X7,X9,X10,X12,X13,X16,X17] :
( ( ~ aElementOf0(X16,slsdtgt0(xa))
| ~ aElementOf0(X17,slsdtgt0(xb))
| sdtpldt0(X16,X17) != X13
| aElementOf0(X13,xI) )
& ( ~ aElementOf0(X13,xI)
| ( aElementOf0(esk14_1(X13),slsdtgt0(xa))
& aElementOf0(esk15_1(X13),slsdtgt0(xb))
& sdtpldt0(esk14_1(X13),esk15_1(X13)) = X13 ) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk13_1(X10))
& sdtasdt0(xb,esk13_1(X10)) = X10 ) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ( aElement0(esk12_1(X7))
& sdtasdt0(xa,esk12_1(X7)) = X7 ) )
& ( ( ( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI) )
& ( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X4,X5),xI) ) )
| ~ aElementOf0(X4,xI) )
& aSet0(xI)
& aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(shift_quantors,[status(thm)],[188]) ).
fof(190,plain,
! [X4,X5,X6,X7,X9,X10,X12,X13,X16,X17] :
( ( ~ aElementOf0(X16,slsdtgt0(xa))
| ~ aElementOf0(X17,slsdtgt0(xb))
| sdtpldt0(X16,X17) != X13
| aElementOf0(X13,xI) )
& ( aElementOf0(esk14_1(X13),slsdtgt0(xa))
| ~ aElementOf0(X13,xI) )
& ( aElementOf0(esk15_1(X13),slsdtgt0(xb))
| ~ aElementOf0(X13,xI) )
& ( sdtpldt0(esk14_1(X13),esk15_1(X13)) = X13
| ~ aElementOf0(X13,xI) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( aElement0(esk13_1(X10))
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk13_1(X10)) = X10
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( aElement0(esk12_1(X7))
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk12_1(X7)) = X7
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( ~ aElement0(X6)
| aElementOf0(sdtasdt0(X6,X4),xI)
| ~ aElementOf0(X4,xI) )
& ( ~ aElementOf0(X5,xI)
| aElementOf0(sdtpldt0(X4,X5),xI)
| ~ aElementOf0(X4,xI) )
& aSet0(xI)
& aIdeal0(xI)
& xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
inference(distribute,[status(thm)],[189]) ).
cnf(196,plain,
( sdtasdt0(xa,esk12_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(197,plain,
( aElement0(esk12_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(199,plain,
( sdtasdt0(xb,esk13_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(200,plain,
( aElement0(esk13_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[190]) ).
fof(241,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[28]) ).
fof(242,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[241]) ).
cnf(243,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(262,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(263,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[33]) ).
fof(272,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
inference(fof_nnf,[status(thm)],[35]) ).
fof(273,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtpldt0(X2,sz00) = X2
& X2 = sdtpldt0(sz00,X2) ) ),
inference(variable_rename,[status(thm)],[272]) ).
fof(274,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aElement0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[273]) ).
cnf(275,plain,
( X1 = sdtpldt0(sz00,X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[274]) ).
cnf(276,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[274]) ).
fof(280,plain,
( ? [X2] :
( aElement0(X2)
& sdtasdt0(xa,X2) = sz00 )
& aElementOf0(sz00,slsdtgt0(xa))
& ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = xa )
& aElementOf0(xa,slsdtgt0(xa))
& ? [X4] :
( aElement0(X4)
& sdtasdt0(xb,X4) = sz00 )
& aElementOf0(sz00,slsdtgt0(xb))
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xb,X5) = xb )
& aElementOf0(xb,slsdtgt0(xb)) ),
inference(variable_rename,[status(thm)],[37]) ).
fof(281,plain,
( aElement0(esk27_0)
& sdtasdt0(xa,esk27_0) = sz00
& aElementOf0(sz00,slsdtgt0(xa))
& aElement0(esk28_0)
& sdtasdt0(xa,esk28_0) = xa
& aElementOf0(xa,slsdtgt0(xa))
& aElement0(esk29_0)
& sdtasdt0(xb,esk29_0) = sz00
& aElementOf0(sz00,slsdtgt0(xb))
& aElement0(esk30_0)
& sdtasdt0(xb,esk30_0) = xb
& aElementOf0(xb,slsdtgt0(xb)) ),
inference(skolemize,[status(esa)],[280]) ).
cnf(282,plain,
aElementOf0(xb,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[281]) ).
cnf(285,plain,
aElementOf0(sz00,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[281]) ).
cnf(288,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[281]) ).
fof(325,negated_conjecture,
! [X1] :
( ( ! [X2] :
( ( ~ aElementOf0(X2,slsdtgt0(xa))
| ? [X3] :
( aElement0(X3)
& sdtasdt0(xa,X3) = X2 ) )
& ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(xa,X3) != X2 )
| aElementOf0(X2,slsdtgt0(xa)) ) )
& ! [X2] :
( ( ~ aElementOf0(X2,slsdtgt0(xb))
| ? [X3] :
( aElement0(X3)
& sdtasdt0(xb,X3) = X2 ) )
& ( ! [X3] :
( ~ aElement0(X3)
| sdtasdt0(xb,X3) != X2 )
| aElementOf0(X2,slsdtgt0(xb)) ) )
& ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
| X1 = sz00 ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(326,negated_conjecture,
! [X4] :
( ( ! [X5] :
( ( ~ aElementOf0(X5,slsdtgt0(xa))
| ? [X6] :
( aElement0(X6)
& sdtasdt0(xa,X6) = X5 ) )
& ( ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5 )
| aElementOf0(X5,slsdtgt0(xa)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,slsdtgt0(xb))
| ? [X9] :
( aElement0(X9)
& sdtasdt0(xb,X9) = X8 ) )
& ( ! [X10] :
( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8 )
| aElementOf0(X8,slsdtgt0(xb)) ) )
& ! [X11,X12] :
( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X4 )
& ~ aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
| X4 = sz00 ),
inference(variable_rename,[status(thm)],[325]) ).
fof(327,negated_conjecture,
! [X4] :
( ( ! [X5] :
( ( ~ aElementOf0(X5,slsdtgt0(xa))
| ( aElement0(esk32_2(X4,X5))
& sdtasdt0(xa,esk32_2(X4,X5)) = X5 ) )
& ( ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5 )
| aElementOf0(X5,slsdtgt0(xa)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,slsdtgt0(xb))
| ( aElement0(esk33_2(X4,X8))
& sdtasdt0(xb,esk33_2(X4,X8)) = X8 ) )
& ( ! [X10] :
( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8 )
| aElementOf0(X8,slsdtgt0(xb)) ) )
& ! [X11,X12] :
( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X4 )
& ~ aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) )
| X4 = sz00 ),
inference(skolemize,[status(esa)],[326]) ).
fof(328,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12] :
( ( ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X4 )
& ~ aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8
| aElementOf0(X8,slsdtgt0(xb)) )
& ( ~ aElementOf0(X8,slsdtgt0(xb))
| ( aElement0(esk33_2(X4,X8))
& sdtasdt0(xb,esk33_2(X4,X8)) = X8 ) )
& ( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5
| aElementOf0(X5,slsdtgt0(xa)) )
& ( ~ aElementOf0(X5,slsdtgt0(xa))
| ( aElement0(esk32_2(X4,X5))
& sdtasdt0(xa,esk32_2(X4,X5)) = X5 ) ) )
| X4 = sz00 ),
inference(shift_quantors,[status(thm)],[327]) ).
fof(329,negated_conjecture,
! [X4,X5,X7,X8,X10,X11,X12] :
( ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X4
| X4 = sz00 )
& ( ~ aElementOf0(X4,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
| X4 = sz00 )
& ( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8
| aElementOf0(X8,slsdtgt0(xb))
| X4 = sz00 )
& ( aElement0(esk33_2(X4,X8))
| ~ aElementOf0(X8,slsdtgt0(xb))
| X4 = sz00 )
& ( sdtasdt0(xb,esk33_2(X4,X8)) = X8
| ~ aElementOf0(X8,slsdtgt0(xb))
| X4 = sz00 )
& ( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5
| aElementOf0(X5,slsdtgt0(xa))
| X4 = sz00 )
& ( aElement0(esk32_2(X4,X5))
| ~ aElementOf0(X5,slsdtgt0(xa))
| X4 = sz00 )
& ( sdtasdt0(xa,esk32_2(X4,X5)) = X5
| ~ aElementOf0(X5,slsdtgt0(xa))
| X4 = sz00 ) ),
inference(distribute,[status(thm)],[328]) ).
cnf(337,negated_conjecture,
( X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(438,plain,
( aElement0(X1)
| ~ aElement0(esk12_1(X1))
| ~ aElement0(xa)
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[243,196,theory(equality)]) ).
cnf(439,plain,
( aElement0(X1)
| ~ aElement0(esk12_1(X1))
| $false
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[438,263,theory(equality)]) ).
cnf(440,plain,
( aElement0(X1)
| ~ aElement0(esk12_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[439,theory(equality)]) ).
cnf(441,plain,
( aElement0(X1)
| ~ aElement0(esk13_1(X1))
| ~ aElement0(xb)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(spm,[status(thm)],[243,199,theory(equality)]) ).
cnf(442,plain,
( aElement0(X1)
| ~ aElement0(esk13_1(X1))
| $false
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(rw,[status(thm)],[441,262,theory(equality)]) ).
cnf(443,plain,
( aElement0(X1)
| ~ aElement0(esk13_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[442,theory(equality)]) ).
cnf(760,negated_conjecture,
( sz00 = X1
| X2 != X1
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[337,276,theory(equality)]) ).
cnf(767,negated_conjecture,
( sz00 = X1
| X2 != X1
| $false
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X2) ),
inference(rw,[status(thm)],[760,285,theory(equality)]) ).
cnf(768,negated_conjecture,
( sz00 = X1
| X2 != X1
| ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[767,theory(equality)]) ).
cnf(769,negated_conjecture,
( sz00 = X1
| ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[768,theory(equality)]) ).
cnf(2966,plain,
( aElement0(X1)
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(csr,[status(thm)],[440,197]) ).
cnf(3022,plain,
( aElement0(X1)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(csr,[status(thm)],[443,200]) ).
cnf(3461,negated_conjecture,
( sz00 = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(csr,[status(thm)],[769,2966]) ).
cnf(3462,plain,
sz00 = xa,
inference(spm,[status(thm)],[3461,288,theory(equality)]) ).
cnf(3552,negated_conjecture,
( xa = X1
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[337,3462,theory(equality)]) ).
cnf(3570,plain,
( sdtpldt0(xa,X1) = X1
| ~ aElement0(X1) ),
inference(rw,[status(thm)],[275,3462,theory(equality)]) ).
cnf(3572,plain,
( $false
| sz00 != xb ),
inference(rw,[status(thm)],[184,3462,theory(equality)]) ).
cnf(3573,plain,
( $false
| xa != xb ),
inference(rw,[status(thm)],[3572,3462,theory(equality)]) ).
cnf(3574,plain,
xa != xb,
inference(cn,[status(thm)],[3573,theory(equality)]) ).
cnf(6039,negated_conjecture,
( xa = X1
| X2 != X1
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[3552,3570,theory(equality)]) ).
cnf(6052,negated_conjecture,
( xa = X1
| X2 != X1
| ~ aElementOf0(X2,slsdtgt0(xb))
| $false
| ~ aElement0(X2) ),
inference(rw,[status(thm)],[6039,288,theory(equality)]) ).
cnf(6053,negated_conjecture,
( xa = X1
| X2 != X1
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElement0(X2) ),
inference(cn,[status(thm)],[6052,theory(equality)]) ).
cnf(6054,negated_conjecture,
( xa = X1
| ~ aElementOf0(X1,slsdtgt0(xb))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[6053,theory(equality)]) ).
cnf(6156,negated_conjecture,
( xa = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(csr,[status(thm)],[6054,3022]) ).
cnf(6157,plain,
xa = xb,
inference(spm,[status(thm)],[6156,282,theory(equality)]) ).
cnf(6171,plain,
$false,
inference(sr,[status(thm)],[6157,3574,theory(equality)]) ).
cnf(6172,plain,
$false,
6171,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG109+4.p
% --creating new selector for []
% -running prover on /tmp/tmpWJBK4B/sel_RNG109+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG109+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG109+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG109+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
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------