TSTP Solution File: RNG126+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG126+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 02:35:46 EST 2010
% Result : Theorem 0.65s
% Output : CNFRefutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 465 ( 114 equ)
% Maximal formula atoms : 33 ( 8 avg)
% Number of connectives : 609 ( 201 ~; 184 |; 205 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-2 aty)
% Number of variables : 173 ( 0 sgn 123 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xa )
& doDivides0(xu,xa)
& aDivisorOf0(xu,xa)
& ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
& doDivides0(xu,xb)
& aDivisorOf0(xu,xb) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',m__2373) ).
fof(11,axiom,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',m__2273) ).
fof(20,axiom,
! [X1] :
( aElement0(X1)
=> ! [X2] :
( aDivisorOf0(X2,X1)
<=> ( aElement0(X2)
& doDivides0(X2,X1) ) ) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',mDefDvs) ).
fof(25,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/tmpDJTjJ_/sel_RNG126+4.p_1',m__2174) ).
fof(36,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',m__2091) ).
fof(39,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',mMulComm) ).
fof(43,axiom,
? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xc ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',m__2744) ).
fof(48,conjecture,
( ! [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,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xc )
| aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) ),
file('/tmp/tmpDJTjJ_/sel_RNG126+4.p_1',m__) ).
fof(49,negated_conjecture,
~ ( ! [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,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xc )
| aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ) ) ),
inference(assume_negation,[status(cth)],[48]) ).
fof(50,plain,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(51,plain,
( ? [X2] :
( aElement0(X2)
& sdtasdt0(xu,X2) = xa )
& doDivides0(xu,xa)
& aDivisorOf0(xu,xa)
& ? [X3] :
( aElement0(X3)
& sdtasdt0(xu,X3) = xb )
& doDivides0(xu,xb)
& aDivisorOf0(xu,xb) ),
inference(variable_rename,[status(thm)],[1]) ).
fof(52,plain,
( aElement0(esk1_0)
& sdtasdt0(xu,esk1_0) = xa
& doDivides0(xu,xa)
& aDivisorOf0(xu,xa)
& aElement0(esk2_0)
& sdtasdt0(xu,esk2_0) = xb
& doDivides0(xu,xb)
& aDivisorOf0(xu,xb) ),
inference(skolemize,[status(esa)],[51]) ).
cnf(57,plain,
aDivisorOf0(xu,xa),
inference(split_conjunct,[status(thm)],[52]) ).
fof(151,plain,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X1] :
( ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) )
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(152,plain,
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = xu )
& aElementOf0(xu,xI)
& xu != sz00
& ! [X6] :
( ( ! [X7,X8] :
( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00
| ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) ) ),
inference(variable_rename,[status(thm)],[151]) ).
fof(153,plain,
( aElementOf0(esk11_0,slsdtgt0(xa))
& aElementOf0(esk12_0,slsdtgt0(xb))
& sdtpldt0(esk11_0,esk12_0) = xu
& aElementOf0(xu,xI)
& xu != sz00
& ! [X6] :
( ( ! [X7,X8] :
( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00
| ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) ) ),
inference(skolemize,[status(esa)],[152]) ).
fof(154,plain,
! [X6,X7,X8] :
( ( ( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00
| ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) )
& aElementOf0(esk11_0,slsdtgt0(xa))
& aElementOf0(esk12_0,slsdtgt0(xb))
& sdtpldt0(esk11_0,esk12_0) = xu
& aElementOf0(xu,xI)
& xu != sz00 ),
inference(shift_quantors,[status(thm)],[153]) ).
fof(155,plain,
! [X6,X7,X8] :
( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| ~ iLess0(sbrdtbr0(X6),sbrdtbr0(xu)) )
& aElementOf0(esk11_0,slsdtgt0(xa))
& aElementOf0(esk12_0,slsdtgt0(xb))
& sdtpldt0(esk11_0,esk12_0) = xu
& aElementOf0(xu,xI)
& xu != sz00 ),
inference(distribute,[status(thm)],[154]) ).
cnf(157,plain,
aElementOf0(xu,xI),
inference(split_conjunct,[status(thm)],[155]) ).
fof(191,plain,
! [X1] :
( ~ aElement0(X1)
| ! [X2] :
( ( ~ aDivisorOf0(X2,X1)
| ( aElement0(X2)
& doDivides0(X2,X1) ) )
& ( ~ aElement0(X2)
| ~ doDivides0(X2,X1)
| aDivisorOf0(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(192,plain,
! [X3] :
( ~ aElement0(X3)
| ! [X4] :
( ( ~ aDivisorOf0(X4,X3)
| ( aElement0(X4)
& doDivides0(X4,X3) ) )
& ( ~ aElement0(X4)
| ~ doDivides0(X4,X3)
| aDivisorOf0(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[191]) ).
fof(193,plain,
! [X3,X4] :
( ( ( ~ aDivisorOf0(X4,X3)
| ( aElement0(X4)
& doDivides0(X4,X3) ) )
& ( ~ aElement0(X4)
| ~ doDivides0(X4,X3)
| aDivisorOf0(X4,X3) ) )
| ~ aElement0(X3) ),
inference(shift_quantors,[status(thm)],[192]) ).
fof(194,plain,
! [X3,X4] :
( ( aElement0(X4)
| ~ aDivisorOf0(X4,X3)
| ~ aElement0(X3) )
& ( doDivides0(X4,X3)
| ~ aDivisorOf0(X4,X3)
| ~ aElement0(X3) )
& ( ~ aElement0(X4)
| ~ doDivides0(X4,X3)
| aDivisorOf0(X4,X3)
| ~ aElement0(X3) ) ),
inference(distribute,[status(thm)],[193]) ).
cnf(197,plain,
( aElement0(X2)
| ~ aElement0(X1)
| ~ aDivisorOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(213,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)],[25]) ).
fof(214,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)],[213]) ).
fof(215,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(esk16_1(X7))
& sdtasdt0(xa,esk16_1(X7)) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7 )
| aElementOf0(X7,slsdtgt0(xa)) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk17_1(X10))
& sdtasdt0(xb,esk17_1(X10)) = X10 ) )
& ( ! [X12] :
( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10 )
| aElementOf0(X10,slsdtgt0(xb)) ) )
& ! [X13] :
( ( ~ aElementOf0(X13,xI)
| ( aElementOf0(esk18_1(X13),slsdtgt0(xa))
& aElementOf0(esk19_1(X13),slsdtgt0(xb))
& sdtpldt0(esk18_1(X13),esk19_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)],[214]) ).
fof(216,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(esk18_1(X13),slsdtgt0(xa))
& aElementOf0(esk19_1(X13),slsdtgt0(xb))
& sdtpldt0(esk18_1(X13),esk19_1(X13)) = X13 ) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk17_1(X10))
& sdtasdt0(xb,esk17_1(X10)) = X10 ) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ( aElement0(esk16_1(X7))
& sdtasdt0(xa,esk16_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)],[215]) ).
fof(217,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(esk18_1(X13),slsdtgt0(xa))
| ~ aElementOf0(X13,xI) )
& ( aElementOf0(esk19_1(X13),slsdtgt0(xb))
| ~ aElementOf0(X13,xI) )
& ( sdtpldt0(esk18_1(X13),esk19_1(X13)) = X13
| ~ aElementOf0(X13,xI) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( aElement0(esk17_1(X10))
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk17_1(X10)) = X10
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( aElement0(esk16_1(X7))
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk16_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)],[216]) ).
cnf(218,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(222,plain,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[217]) ).
cnf(306,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[36]) ).
fof(320,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(fof_nnf,[status(thm)],[39]) ).
fof(321,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[320]) ).
cnf(322,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[321]) ).
fof(343,plain,
? [X2] :
( aElement0(X2)
& sdtasdt0(xu,X2) = xc ),
inference(variable_rename,[status(thm)],[43]) ).
fof(344,plain,
( aElement0(esk40_0)
& sdtasdt0(xu,esk40_0) = xc ),
inference(skolemize,[status(esa)],[343]) ).
cnf(345,plain,
sdtasdt0(xu,esk40_0) = xc,
inference(split_conjunct,[status(thm)],[344]) ).
cnf(346,plain,
aElement0(esk40_0),
inference(split_conjunct,[status(thm)],[344]) ).
fof(372,negated_conjecture,
( ! [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,X2] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X1,X2) != xc )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(373,negated_conjecture,
( ! [X3] :
( ( ~ aElementOf0(X3,slsdtgt0(xa))
| ? [X4] :
( aElement0(X4)
& sdtasdt0(xa,X4) = X3 ) )
& ( ! [X5] :
( ~ aElement0(X5)
| sdtasdt0(xa,X5) != X3 )
| aElementOf0(X3,slsdtgt0(xa)) ) )
& ! [X6] :
( ( ~ aElementOf0(X6,slsdtgt0(xb))
| ? [X7] :
( aElement0(X7)
& sdtasdt0(xb,X7) = X6 ) )
& ( ! [X8] :
( ~ aElement0(X8)
| sdtasdt0(xb,X8) != X6 )
| aElementOf0(X6,slsdtgt0(xb)) ) )
& ! [X9,X10] :
( ~ aElementOf0(X9,slsdtgt0(xa))
| ~ aElementOf0(X10,slsdtgt0(xb))
| sdtpldt0(X9,X10) != xc )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(variable_rename,[status(thm)],[372]) ).
fof(374,negated_conjecture,
( ! [X3] :
( ( ~ aElementOf0(X3,slsdtgt0(xa))
| ( aElement0(esk42_1(X3))
& sdtasdt0(xa,esk42_1(X3)) = X3 ) )
& ( ! [X5] :
( ~ aElement0(X5)
| sdtasdt0(xa,X5) != X3 )
| aElementOf0(X3,slsdtgt0(xa)) ) )
& ! [X6] :
( ( ~ aElementOf0(X6,slsdtgt0(xb))
| ( aElement0(esk43_1(X6))
& sdtasdt0(xb,esk43_1(X6)) = X6 ) )
& ( ! [X8] :
( ~ aElement0(X8)
| sdtasdt0(xb,X8) != X6 )
| aElementOf0(X6,slsdtgt0(xb)) ) )
& ! [X9,X10] :
( ~ aElementOf0(X9,slsdtgt0(xa))
| ~ aElementOf0(X10,slsdtgt0(xb))
| sdtpldt0(X9,X10) != xc )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
inference(skolemize,[status(esa)],[373]) ).
fof(375,negated_conjecture,
! [X3,X5,X6,X8,X9,X10] :
( ( ~ aElementOf0(X9,slsdtgt0(xa))
| ~ aElementOf0(X10,slsdtgt0(xb))
| sdtpldt0(X9,X10) != xc )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ( ~ aElement0(X8)
| sdtasdt0(xb,X8) != X6
| aElementOf0(X6,slsdtgt0(xb)) )
& ( ~ aElementOf0(X6,slsdtgt0(xb))
| ( aElement0(esk43_1(X6))
& sdtasdt0(xb,esk43_1(X6)) = X6 ) )
& ( ~ aElement0(X5)
| sdtasdt0(xa,X5) != X3
| aElementOf0(X3,slsdtgt0(xa)) )
& ( ~ aElementOf0(X3,slsdtgt0(xa))
| ( aElement0(esk42_1(X3))
& sdtasdt0(xa,esk42_1(X3)) = X3 ) ) ),
inference(shift_quantors,[status(thm)],[374]) ).
fof(376,negated_conjecture,
! [X3,X5,X6,X8,X9,X10] :
( ( ~ aElementOf0(X9,slsdtgt0(xa))
| ~ aElementOf0(X10,slsdtgt0(xb))
| sdtpldt0(X9,X10) != xc )
& ~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& ( ~ aElement0(X8)
| sdtasdt0(xb,X8) != X6
| aElementOf0(X6,slsdtgt0(xb)) )
& ( aElement0(esk43_1(X6))
| ~ aElementOf0(X6,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk43_1(X6)) = X6
| ~ aElementOf0(X6,slsdtgt0(xb)) )
& ( ~ aElement0(X5)
| sdtasdt0(xa,X5) != X3
| aElementOf0(X3,slsdtgt0(xa)) )
& ( aElement0(esk42_1(X3))
| ~ aElementOf0(X3,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk42_1(X3)) = X3
| ~ aElementOf0(X3,slsdtgt0(xa)) ) ),
inference(distribute,[status(thm)],[375]) ).
cnf(383,negated_conjecture,
~ aElementOf0(xc,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[376]) ).
cnf(386,negated_conjecture,
~ aElementOf0(xc,xI),
inference(rw,[status(thm)],[383,218,theory(equality)]) ).
cnf(527,plain,
( aElement0(xu)
| ~ aElement0(xa) ),
inference(spm,[status(thm)],[197,57,theory(equality)]) ).
cnf(535,plain,
( aElement0(xu)
| $false ),
inference(rw,[status(thm)],[527,306,theory(equality)]) ).
cnf(536,plain,
aElement0(xu),
inference(cn,[status(thm)],[535,theory(equality)]) ).
cnf(667,plain,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X2,xI)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(spm,[status(thm)],[222,322,theory(equality)]) ).
cnf(7892,plain,
( aElementOf0(xc,xI)
| ~ aElementOf0(xu,xI)
| ~ aElement0(esk40_0)
| ~ aElement0(xu) ),
inference(spm,[status(thm)],[667,345,theory(equality)]) ).
cnf(7965,plain,
( aElementOf0(xc,xI)
| $false
| ~ aElement0(esk40_0)
| ~ aElement0(xu) ),
inference(rw,[status(thm)],[7892,157,theory(equality)]) ).
cnf(7966,plain,
( aElementOf0(xc,xI)
| $false
| $false
| ~ aElement0(xu) ),
inference(rw,[status(thm)],[7965,346,theory(equality)]) ).
cnf(7967,plain,
( aElementOf0(xc,xI)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[7966,536,theory(equality)]) ).
cnf(7968,plain,
aElementOf0(xc,xI),
inference(cn,[status(thm)],[7967,theory(equality)]) ).
cnf(7969,plain,
$false,
inference(sr,[status(thm)],[7968,386,theory(equality)]) ).
cnf(7970,plain,
$false,
7969,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG126+4.p
% --creating new selector for []
% -running prover on /tmp/tmpDJTjJ_/sel_RNG126+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG126+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG126+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG126+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
%
%------------------------------------------------------------------------------