TSTP Solution File: RNG112+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG112+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 02:27:16 EST 2010
% Result : Theorem 3.62s
% Output : CNFRefutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 89 ( 16 unt; 0 def)
% Number of atoms : 741 ( 277 equ)
% Maximal formula atoms : 68 ( 8 avg)
% Number of connectives : 985 ( 333 ~; 376 |; 261 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-2 aty)
% Number of variables : 236 ( 0 sgn 130 !; 68 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,xI) )
& X3 != sz00 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
file('/tmp/tmpQJ3PVT/sel_RNG112+4.p_1',m__2351) ).
fof(24,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/tmpQJ3PVT/sel_RNG112+4.p_1',m__2174) ).
fof(28,axiom,
? [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/tmpQJ3PVT/sel_RNG112+4.p_1',m__2228) ).
fof(46,conjecture,
? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
file('/tmp/tmpQJ3PVT/sel_RNG112+4.p_1',m__) ).
fof(47,negated_conjecture,
~ ? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(48,plain,
! [X1] :
( ( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00 )
=> ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
| aElementOf0(X3,xI) )
& X3 != sz00 )
=> ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[6,theory(equality)]) ).
fof(49,negated_conjecture,
~ ? [X1] :
( ( ? [X2,X3] :
( aElementOf0(X2,slsdtgt0(xa))
& aElementOf0(X3,slsdtgt0(xb))
& sdtpldt0(X2,X3) = X1 )
| aElementOf0(X1,xI) )
& X1 != sz00
& ! [X2] :
( ( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00 )
=> ~ iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(76,plain,
! [X1] :
( ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) )
| X1 = sz00
| ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& ! [X3] :
( ( ! [X4,X5] :
( ~ aElementOf0(X4,slsdtgt0(xa))
| ~ aElementOf0(X5,slsdtgt0(xb))
| sdtpldt0(X4,X5) != X3 )
& ~ aElementOf0(X3,xI) )
| X3 = sz00
| ~ iLess0(sbrdtbr0(X3),sbrdtbr0(X2)) ) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(77,plain,
! [X6] :
( ( ! [X7,X8] :
( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00
| ? [X9] :
( ? [X10,X11] :
( aElementOf0(X10,slsdtgt0(xa))
& aElementOf0(X11,slsdtgt0(xb))
& sdtpldt0(X10,X11) = X9 )
& aElementOf0(X9,xI)
& X9 != sz00
& ! [X12] :
( ( ! [X13,X14] :
( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) )
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(X9)) ) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X6] :
( ( ! [X7,X8] :
( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00
| ( aElementOf0(esk4_1(X6),slsdtgt0(xa))
& aElementOf0(esk5_1(X6),slsdtgt0(xb))
& sdtpldt0(esk4_1(X6),esk5_1(X6)) = esk3_1(X6)
& aElementOf0(esk3_1(X6),xI)
& esk3_1(X6) != sz00
& ! [X12] :
( ( ! [X13,X14] :
( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) )
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) ) ) ),
inference(skolemize,[status(esa)],[77]) ).
fof(79,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ( ( ( ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12 )
& ~ aElementOf0(X12,xI) )
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) )
& aElementOf0(esk4_1(X6),slsdtgt0(xa))
& aElementOf0(esk5_1(X6),slsdtgt0(xb))
& sdtpldt0(esk4_1(X6),esk5_1(X6)) = esk3_1(X6)
& aElementOf0(esk3_1(X6),xI)
& esk3_1(X6) != sz00 )
| ( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6 )
& ~ aElementOf0(X6,xI) )
| X6 = sz00 ),
inference(shift_quantors,[status(thm)],[78]) ).
fof(80,plain,
! [X6,X7,X8,X12,X13,X14] :
( ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| ~ aElementOf0(X13,slsdtgt0(xa))
| ~ aElementOf0(X14,slsdtgt0(xb))
| sdtpldt0(X13,X14) != X12
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| ~ aElementOf0(X12,xI)
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| ~ aElementOf0(X12,xI)
| X12 = sz00
| ~ iLess0(sbrdtbr0(X12),sbrdtbr0(esk3_1(X6))) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| aElementOf0(esk4_1(X6),slsdtgt0(xa)) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| aElementOf0(esk4_1(X6),slsdtgt0(xa)) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| aElementOf0(esk5_1(X6),slsdtgt0(xb)) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| aElementOf0(esk5_1(X6),slsdtgt0(xb)) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| sdtpldt0(esk4_1(X6),esk5_1(X6)) = esk3_1(X6) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| sdtpldt0(esk4_1(X6),esk5_1(X6)) = esk3_1(X6) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| aElementOf0(esk3_1(X6),xI) )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| aElementOf0(esk3_1(X6),xI) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ~ aElementOf0(X8,slsdtgt0(xb))
| sdtpldt0(X7,X8) != X6
| X6 = sz00
| esk3_1(X6) != sz00 )
& ( ~ aElementOf0(X6,xI)
| X6 = sz00
| esk3_1(X6) != sz00 ) ),
inference(distribute,[status(thm)],[79]) ).
cnf(81,plain,
( X1 = sz00
| esk3_1(X1) != sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(82,plain,
( X1 = sz00
| esk3_1(X1) != sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(83,plain,
( aElementOf0(esk3_1(X1),xI)
| X1 = sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(86,plain,
( sdtpldt0(esk4_1(X1),esk5_1(X1)) = esk3_1(X1)
| X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(88,plain,
( aElementOf0(esk5_1(X1),slsdtgt0(xb))
| X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(90,plain,
( aElementOf0(esk4_1(X1),slsdtgt0(xa))
| X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[80]) ).
cnf(91,plain,
( X1 = sz00
| X2 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk3_1(X2)))
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(X2,xI) ),
inference(split_conjunct,[status(thm)],[80]) ).
fof(209,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)],[24]) ).
fof(210,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)],[209]) ).
fof(211,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(esk15_1(X7))
& sdtasdt0(xa,esk15_1(X7)) = X7 ) )
& ( ! [X9] :
( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7 )
| aElementOf0(X7,slsdtgt0(xa)) ) )
& ! [X10] :
( ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk16_1(X10))
& sdtasdt0(xb,esk16_1(X10)) = X10 ) )
& ( ! [X12] :
( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10 )
| aElementOf0(X10,slsdtgt0(xb)) ) )
& ! [X13] :
( ( ~ aElementOf0(X13,xI)
| ( aElementOf0(esk17_1(X13),slsdtgt0(xa))
& aElementOf0(esk18_1(X13),slsdtgt0(xb))
& sdtpldt0(esk17_1(X13),esk18_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)],[210]) ).
fof(212,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(esk17_1(X13),slsdtgt0(xa))
& aElementOf0(esk18_1(X13),slsdtgt0(xb))
& sdtpldt0(esk17_1(X13),esk18_1(X13)) = X13 ) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElementOf0(X10,slsdtgt0(xb))
| ( aElement0(esk16_1(X10))
& sdtasdt0(xb,esk16_1(X10)) = X10 ) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( ~ aElementOf0(X7,slsdtgt0(xa))
| ( aElement0(esk15_1(X7))
& sdtasdt0(xa,esk15_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)],[211]) ).
fof(213,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(esk17_1(X13),slsdtgt0(xa))
| ~ aElementOf0(X13,xI) )
& ( aElementOf0(esk18_1(X13),slsdtgt0(xb))
| ~ aElementOf0(X13,xI) )
& ( sdtpldt0(esk17_1(X13),esk18_1(X13)) = X13
| ~ aElementOf0(X13,xI) )
& ( ~ aElement0(X12)
| sdtasdt0(xb,X12) != X10
| aElementOf0(X10,slsdtgt0(xb)) )
& ( aElement0(esk16_1(X10))
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk16_1(X10)) = X10
| ~ aElementOf0(X10,slsdtgt0(xb)) )
& ( ~ aElement0(X9)
| sdtasdt0(xa,X9) != X7
| aElementOf0(X7,slsdtgt0(xa)) )
& ( aElement0(esk15_1(X7))
| ~ aElementOf0(X7,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk15_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)],[212]) ).
cnf(214,plain,
xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[213]) ).
fof(259,plain,
? [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)],[28]) ).
fof(260,plain,
? [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)],[259]) ).
fof(261,plain,
( ! [X5] :
( ( ~ aElementOf0(X5,slsdtgt0(xa))
| ( aElement0(esk28_1(X5))
& sdtasdt0(xa,esk28_1(X5)) = X5 ) )
& ( ! [X7] :
( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5 )
| aElementOf0(X5,slsdtgt0(xa)) ) )
& ! [X8] :
( ( ~ aElementOf0(X8,slsdtgt0(xb))
| ( aElement0(esk29_1(X8))
& sdtasdt0(xb,esk29_1(X8)) = X8 ) )
& ( ! [X10] :
( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8 )
| aElementOf0(X8,slsdtgt0(xb)) ) )
& aElementOf0(esk30_0,slsdtgt0(xa))
& aElementOf0(esk31_0,slsdtgt0(xb))
& sdtpldt0(esk30_0,esk31_0) = esk27_0
& aElementOf0(esk27_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk27_0 != sz00 ),
inference(skolemize,[status(esa)],[260]) ).
fof(262,plain,
! [X5,X7,X8,X10] :
( ( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8
| aElementOf0(X8,slsdtgt0(xb)) )
& ( ~ aElementOf0(X8,slsdtgt0(xb))
| ( aElement0(esk29_1(X8))
& sdtasdt0(xb,esk29_1(X8)) = X8 ) )
& ( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5
| aElementOf0(X5,slsdtgt0(xa)) )
& ( ~ aElementOf0(X5,slsdtgt0(xa))
| ( aElement0(esk28_1(X5))
& sdtasdt0(xa,esk28_1(X5)) = X5 ) )
& aElementOf0(esk30_0,slsdtgt0(xa))
& aElementOf0(esk31_0,slsdtgt0(xb))
& sdtpldt0(esk30_0,esk31_0) = esk27_0
& aElementOf0(esk27_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk27_0 != sz00 ),
inference(shift_quantors,[status(thm)],[261]) ).
fof(263,plain,
! [X5,X7,X8,X10] :
( ( ~ aElement0(X10)
| sdtasdt0(xb,X10) != X8
| aElementOf0(X8,slsdtgt0(xb)) )
& ( aElement0(esk29_1(X8))
| ~ aElementOf0(X8,slsdtgt0(xb)) )
& ( sdtasdt0(xb,esk29_1(X8)) = X8
| ~ aElementOf0(X8,slsdtgt0(xb)) )
& ( ~ aElement0(X7)
| sdtasdt0(xa,X7) != X5
| aElementOf0(X5,slsdtgt0(xa)) )
& ( aElement0(esk28_1(X5))
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& ( sdtasdt0(xa,esk28_1(X5)) = X5
| ~ aElementOf0(X5,slsdtgt0(xa)) )
& aElementOf0(esk30_0,slsdtgt0(xa))
& aElementOf0(esk31_0,slsdtgt0(xb))
& sdtpldt0(esk30_0,esk31_0) = esk27_0
& aElementOf0(esk27_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)))
& esk27_0 != sz00 ),
inference(distribute,[status(thm)],[262]) ).
cnf(264,plain,
esk27_0 != sz00,
inference(split_conjunct,[status(thm)],[263]) ).
cnf(265,plain,
aElementOf0(esk27_0,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
inference(split_conjunct,[status(thm)],[263]) ).
cnf(266,plain,
sdtpldt0(esk30_0,esk31_0) = esk27_0,
inference(split_conjunct,[status(thm)],[263]) ).
cnf(267,plain,
aElementOf0(esk31_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[263]) ).
cnf(268,plain,
aElementOf0(esk30_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[263]) ).
fof(364,negated_conjecture,
! [X1] :
( ( ! [X2,X3] :
( ~ aElementOf0(X2,slsdtgt0(xa))
| ~ aElementOf0(X3,slsdtgt0(xb))
| sdtpldt0(X2,X3) != X1 )
& ~ aElementOf0(X1,xI) )
| X1 = sz00
| ? [X2] :
( ? [X3,X4] :
( aElementOf0(X3,slsdtgt0(xa))
& aElementOf0(X4,slsdtgt0(xb))
& sdtpldt0(X3,X4) = X2 )
& aElementOf0(X2,xI)
& X2 != sz00
& iLess0(sbrdtbr0(X2),sbrdtbr0(X1)) ) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(365,negated_conjecture,
! [X5] :
( ( ! [X6,X7] :
( ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5 )
& ~ aElementOf0(X5,xI) )
| X5 = sz00
| ? [X8] :
( ? [X9,X10] :
( aElementOf0(X9,slsdtgt0(xa))
& aElementOf0(X10,slsdtgt0(xb))
& sdtpldt0(X9,X10) = X8 )
& aElementOf0(X8,xI)
& X8 != sz00
& iLess0(sbrdtbr0(X8),sbrdtbr0(X5)) ) ),
inference(variable_rename,[status(thm)],[364]) ).
fof(366,negated_conjecture,
! [X5] :
( ( ! [X6,X7] :
( ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5 )
& ~ aElementOf0(X5,xI) )
| X5 = sz00
| ( aElementOf0(esk41_1(X5),slsdtgt0(xa))
& aElementOf0(esk42_1(X5),slsdtgt0(xb))
& sdtpldt0(esk41_1(X5),esk42_1(X5)) = esk40_1(X5)
& aElementOf0(esk40_1(X5),xI)
& esk40_1(X5) != sz00
& iLess0(sbrdtbr0(esk40_1(X5)),sbrdtbr0(X5)) ) ),
inference(skolemize,[status(esa)],[365]) ).
fof(367,negated_conjecture,
! [X5,X6,X7] :
( ( ( ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5 )
& ~ aElementOf0(X5,xI) )
| X5 = sz00
| ( aElementOf0(esk41_1(X5),slsdtgt0(xa))
& aElementOf0(esk42_1(X5),slsdtgt0(xb))
& sdtpldt0(esk41_1(X5),esk42_1(X5)) = esk40_1(X5)
& aElementOf0(esk40_1(X5),xI)
& esk40_1(X5) != sz00
& iLess0(sbrdtbr0(esk40_1(X5)),sbrdtbr0(X5)) ) ),
inference(shift_quantors,[status(thm)],[366]) ).
fof(368,negated_conjecture,
! [X5,X6,X7] :
( ( aElementOf0(esk41_1(X5),slsdtgt0(xa))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk42_1(X5),slsdtgt0(xb))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( sdtpldt0(esk41_1(X5),esk42_1(X5)) = esk40_1(X5)
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk40_1(X5),xI)
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( esk40_1(X5) != sz00
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( iLess0(sbrdtbr0(esk40_1(X5)),sbrdtbr0(X5))
| ~ aElementOf0(X6,slsdtgt0(xa))
| ~ aElementOf0(X7,slsdtgt0(xb))
| sdtpldt0(X6,X7) != X5
| X5 = sz00 )
& ( aElementOf0(esk41_1(X5),slsdtgt0(xa))
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( aElementOf0(esk42_1(X5),slsdtgt0(xb))
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( sdtpldt0(esk41_1(X5),esk42_1(X5)) = esk40_1(X5)
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( aElementOf0(esk40_1(X5),xI)
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( esk40_1(X5) != sz00
| ~ aElementOf0(X5,xI)
| X5 = sz00 )
& ( iLess0(sbrdtbr0(esk40_1(X5)),sbrdtbr0(X5))
| ~ aElementOf0(X5,xI)
| X5 = sz00 ) ),
inference(distribute,[status(thm)],[367]) ).
cnf(369,negated_conjecture,
( X1 = sz00
| iLess0(sbrdtbr0(esk40_1(X1)),sbrdtbr0(X1))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[368]) ).
cnf(376,negated_conjecture,
( X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| esk40_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[368]) ).
cnf(377,negated_conjecture,
( X1 = sz00
| aElementOf0(esk40_1(X1),xI)
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[368]) ).
cnf(385,plain,
aElementOf0(esk27_0,xI),
inference(rw,[status(thm)],[265,214,theory(equality)]) ).
cnf(706,negated_conjecture,
( sz00 = sdtpldt0(X1,X2)
| esk40_1(sdtpldt0(X1,X2)) != sz00
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[376,theory(equality)]) ).
cnf(726,negated_conjecture,
( sz00 = sdtpldt0(X1,X2)
| aElementOf0(esk40_1(sdtpldt0(X1,X2)),xI)
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[377,theory(equality)]) ).
cnf(812,negated_conjecture,
( sz00 = esk40_1(esk3_1(X1))
| sz00 = X1
| sz00 = esk3_1(X1)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(esk40_1(esk3_1(X1)),xI)
| ~ aElementOf0(esk3_1(X1),xI) ),
inference(spm,[status(thm)],[91,369,theory(equality)]) ).
cnf(866,plain,
( sz00 = sdtpldt0(X1,X2)
| esk3_1(sdtpldt0(X1,X2)) != sz00
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[82,theory(equality)]) ).
cnf(949,plain,
( sz00 = sdtpldt0(X1,X2)
| aElementOf0(esk4_1(sdtpldt0(X1,X2)),slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[90,theory(equality)]) ).
cnf(970,plain,
( sz00 = sdtpldt0(X1,X2)
| aElementOf0(esk5_1(sdtpldt0(X1,X2)),slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[88,theory(equality)]) ).
cnf(1683,plain,
( sdtpldt0(esk4_1(sdtpldt0(X1,X2)),esk5_1(sdtpldt0(X1,X2))) = esk3_1(sdtpldt0(X1,X2))
| sz00 = sdtpldt0(X1,X2)
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[86,theory(equality)]) ).
cnf(8090,negated_conjecture,
( esk40_1(esk3_1(X1)) = sz00
| esk3_1(X1) = sz00
| sz00 = X1
| ~ aElementOf0(esk40_1(esk3_1(X1)),xI)
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[812,83]) ).
cnf(8091,negated_conjecture,
( esk40_1(esk3_1(X1)) = sz00
| sz00 = X1
| ~ aElementOf0(esk40_1(esk3_1(X1)),xI)
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[8090,81]) ).
cnf(8970,plain,
( esk27_0 = sz00
| esk3_1(esk27_0) != sz00
| ~ aElementOf0(esk31_0,slsdtgt0(xb))
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[866,266,theory(equality)]) ).
cnf(8992,plain,
( esk27_0 = sz00
| esk3_1(esk27_0) != sz00
| $false
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[8970,267,theory(equality)]) ).
cnf(8993,plain,
( esk27_0 = sz00
| esk3_1(esk27_0) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[8992,268,theory(equality)]) ).
cnf(8994,plain,
( esk27_0 = sz00
| esk3_1(esk27_0) != sz00 ),
inference(cn,[status(thm)],[8993,theory(equality)]) ).
cnf(8995,plain,
esk3_1(esk27_0) != sz00,
inference(sr,[status(thm)],[8994,264,theory(equality)]) ).
cnf(11188,plain,
( esk27_0 = sz00
| aElementOf0(esk4_1(esk27_0),slsdtgt0(xa))
| ~ aElementOf0(esk31_0,slsdtgt0(xb))
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[949,266,theory(equality)]) ).
cnf(11214,plain,
( esk27_0 = sz00
| aElementOf0(esk4_1(esk27_0),slsdtgt0(xa))
| $false
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[11188,267,theory(equality)]) ).
cnf(11215,plain,
( esk27_0 = sz00
| aElementOf0(esk4_1(esk27_0),slsdtgt0(xa))
| $false
| $false ),
inference(rw,[status(thm)],[11214,268,theory(equality)]) ).
cnf(11216,plain,
( esk27_0 = sz00
| aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)) ),
inference(cn,[status(thm)],[11215,theory(equality)]) ).
cnf(11217,plain,
aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)),
inference(sr,[status(thm)],[11216,264,theory(equality)]) ).
cnf(11610,plain,
( esk27_0 = sz00
| aElementOf0(esk5_1(esk27_0),slsdtgt0(xb))
| ~ aElementOf0(esk31_0,slsdtgt0(xb))
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[970,266,theory(equality)]) ).
cnf(11636,plain,
( esk27_0 = sz00
| aElementOf0(esk5_1(esk27_0),slsdtgt0(xb))
| $false
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[11610,267,theory(equality)]) ).
cnf(11637,plain,
( esk27_0 = sz00
| aElementOf0(esk5_1(esk27_0),slsdtgt0(xb))
| $false
| $false ),
inference(rw,[status(thm)],[11636,268,theory(equality)]) ).
cnf(11638,plain,
( esk27_0 = sz00
| aElementOf0(esk5_1(esk27_0),slsdtgt0(xb)) ),
inference(cn,[status(thm)],[11637,theory(equality)]) ).
cnf(11639,plain,
aElementOf0(esk5_1(esk27_0),slsdtgt0(xb)),
inference(sr,[status(thm)],[11638,264,theory(equality)]) ).
cnf(56803,plain,
( sdtpldt0(esk4_1(esk27_0),esk5_1(esk27_0)) = esk3_1(esk27_0)
| esk27_0 = sz00
| ~ aElementOf0(esk31_0,slsdtgt0(xb))
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[1683,266,theory(equality)]) ).
cnf(56965,plain,
( sdtpldt0(esk4_1(esk27_0),esk5_1(esk27_0)) = esk3_1(esk27_0)
| esk27_0 = sz00
| $false
| ~ aElementOf0(esk30_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[56803,267,theory(equality)]) ).
cnf(56966,plain,
( sdtpldt0(esk4_1(esk27_0),esk5_1(esk27_0)) = esk3_1(esk27_0)
| esk27_0 = sz00
| $false
| $false ),
inference(rw,[status(thm)],[56965,268,theory(equality)]) ).
cnf(56967,plain,
( sdtpldt0(esk4_1(esk27_0),esk5_1(esk27_0)) = esk3_1(esk27_0)
| esk27_0 = sz00 ),
inference(cn,[status(thm)],[56966,theory(equality)]) ).
cnf(56968,plain,
sdtpldt0(esk4_1(esk27_0),esk5_1(esk27_0)) = esk3_1(esk27_0),
inference(sr,[status(thm)],[56967,264,theory(equality)]) ).
cnf(64578,plain,
( esk3_1(esk27_0) = sz00
| esk40_1(esk3_1(esk27_0)) != sz00
| ~ aElementOf0(esk5_1(esk27_0),slsdtgt0(xb))
| ~ aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)) ),
inference(spm,[status(thm)],[706,56968,theory(equality)]) ).
cnf(64580,plain,
( esk3_1(esk27_0) = sz00
| aElementOf0(esk40_1(esk3_1(esk27_0)),xI)
| ~ aElementOf0(esk5_1(esk27_0),slsdtgt0(xb))
| ~ aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)) ),
inference(spm,[status(thm)],[726,56968,theory(equality)]) ).
cnf(64707,plain,
( esk3_1(esk27_0) = sz00
| esk40_1(esk3_1(esk27_0)) != sz00
| $false
| ~ aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)) ),
inference(rw,[status(thm)],[64578,11639,theory(equality)]) ).
cnf(64708,plain,
( esk3_1(esk27_0) = sz00
| esk40_1(esk3_1(esk27_0)) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[64707,11217,theory(equality)]) ).
cnf(64709,plain,
( esk3_1(esk27_0) = sz00
| esk40_1(esk3_1(esk27_0)) != sz00 ),
inference(cn,[status(thm)],[64708,theory(equality)]) ).
cnf(64710,plain,
esk40_1(esk3_1(esk27_0)) != sz00,
inference(sr,[status(thm)],[64709,8995,theory(equality)]) ).
cnf(64711,plain,
( esk3_1(esk27_0) = sz00
| aElementOf0(esk40_1(esk3_1(esk27_0)),xI)
| $false
| ~ aElementOf0(esk4_1(esk27_0),slsdtgt0(xa)) ),
inference(rw,[status(thm)],[64580,11639,theory(equality)]) ).
cnf(64712,plain,
( esk3_1(esk27_0) = sz00
| aElementOf0(esk40_1(esk3_1(esk27_0)),xI)
| $false
| $false ),
inference(rw,[status(thm)],[64711,11217,theory(equality)]) ).
cnf(64713,plain,
( esk3_1(esk27_0) = sz00
| aElementOf0(esk40_1(esk3_1(esk27_0)),xI) ),
inference(cn,[status(thm)],[64712,theory(equality)]) ).
cnf(64714,plain,
aElementOf0(esk40_1(esk3_1(esk27_0)),xI),
inference(sr,[status(thm)],[64713,8995,theory(equality)]) ).
cnf(64898,plain,
( esk40_1(esk3_1(esk27_0)) = sz00
| sz00 = esk27_0
| ~ aElementOf0(esk27_0,xI) ),
inference(spm,[status(thm)],[8091,64714,theory(equality)]) ).
cnf(64912,plain,
( esk40_1(esk3_1(esk27_0)) = sz00
| sz00 = esk27_0
| $false ),
inference(rw,[status(thm)],[64898,385,theory(equality)]) ).
cnf(64913,plain,
( esk40_1(esk3_1(esk27_0)) = sz00
| sz00 = esk27_0 ),
inference(cn,[status(thm)],[64912,theory(equality)]) ).
cnf(64914,plain,
esk27_0 = sz00,
inference(sr,[status(thm)],[64913,64710,theory(equality)]) ).
cnf(64915,plain,
$false,
inference(sr,[status(thm)],[64914,264,theory(equality)]) ).
cnf(64916,plain,
$false,
64915,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG112+4.p
% --creating new selector for []
% -running prover on /tmp/tmpQJ3PVT/sel_RNG112+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG112+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG112+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG112+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
%
%------------------------------------------------------------------------------