TSTP Solution File: RNG111+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG111+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 02:26:37 EST 2010
% Result : Theorem 0.83s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 77 ( 14 unt; 0 def)
% Number of atoms : 626 ( 278 equ)
% Maximal formula atoms : 135 ( 8 avg)
% Number of connectives : 852 ( 303 ~; 356 |; 175 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 57 !; 60 ?)
% Comments :
%------------------------------------------------------------------------------
fof(45,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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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/tmpGjwcPf/sel_RNG111+4.p_1',m__) ).
fof(46,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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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(assume_negation,[status(cth)],[45]) ).
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))
=> ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ( ? [X5,X6] :
( aElementOf0(X5,slsdtgt0(xa))
& aElementOf0(X6,slsdtgt0(xb))
& sdtpldt0(X5,X6) = X4 )
| aElementOf0(X4,xI) )
& X4 != sz00 )
=> ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) ) )
=> ? [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)],[46,theory(equality)]) ).
fof(343,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))
| ? [X3] :
( ? [X4,X5] :
( aElementOf0(X4,slsdtgt0(xa))
& aElementOf0(X5,slsdtgt0(xb))
& sdtpldt0(X4,X5) = X3 )
& aElementOf0(X3,xI)
& X3 != sz00
& ! [X4] :
( ( ! [X5,X6] :
( ~ aElementOf0(X5,slsdtgt0(xa))
| ~ aElementOf0(X6,slsdtgt0(xb))
| sdtpldt0(X5,X6) != X4 )
& ~ aElementOf0(X4,xI) )
| X4 = sz00
| ~ iLess0(sbrdtbr0(X4),sbrdtbr0(X3)) ) ) )
& ! [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)],[47]) ).
fof(344,negated_conjecture,
? [X7] :
( ? [X8,X9] :
( aElementOf0(X8,slsdtgt0(xa))
& aElementOf0(X9,slsdtgt0(xb))
& sdtpldt0(X8,X9) = X7 )
& aElementOf0(X7,xI)
& X7 != sz00
& ! [X10] :
( ( ! [X11,X12] :
( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10 )
& ~ aElementOf0(X10,xI) )
| X10 = sz00
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(X7))
| ? [X13] :
( ? [X14,X15] :
( aElementOf0(X14,slsdtgt0(xa))
& aElementOf0(X15,slsdtgt0(xb))
& sdtpldt0(X14,X15) = X13 )
& aElementOf0(X13,xI)
& X13 != sz00
& ! [X16] :
( ( ! [X17,X18] :
( ~ aElementOf0(X17,slsdtgt0(xa))
| ~ aElementOf0(X18,slsdtgt0(xb))
| sdtpldt0(X17,X18) != X16 )
& ~ aElementOf0(X16,xI) )
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(X13)) ) ) )
& ! [X19] :
( ( ! [X20,X21] :
( ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19 )
& ~ aElementOf0(X19,xI) )
| X19 = sz00
| ? [X22] :
( ? [X23,X24] :
( aElementOf0(X23,slsdtgt0(xa))
& aElementOf0(X24,slsdtgt0(xb))
& sdtpldt0(X23,X24) = X22 )
& aElementOf0(X22,xI)
& X22 != sz00
& iLess0(sbrdtbr0(X22),sbrdtbr0(X19)) ) ) ),
inference(variable_rename,[status(thm)],[343]) ).
fof(345,negated_conjecture,
( aElementOf0(esk38_0,slsdtgt0(xa))
& aElementOf0(esk39_0,slsdtgt0(xb))
& sdtpldt0(esk38_0,esk39_0) = esk37_0
& aElementOf0(esk37_0,xI)
& esk37_0 != sz00
& ! [X10] :
( ( ! [X11,X12] :
( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10 )
& ~ aElementOf0(X10,xI) )
| X10 = sz00
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0))
| ( aElementOf0(esk41_1(X10),slsdtgt0(xa))
& aElementOf0(esk42_1(X10),slsdtgt0(xb))
& sdtpldt0(esk41_1(X10),esk42_1(X10)) = esk40_1(X10)
& aElementOf0(esk40_1(X10),xI)
& esk40_1(X10) != sz00
& ! [X16] :
( ( ! [X17,X18] :
( ~ aElementOf0(X17,slsdtgt0(xa))
| ~ aElementOf0(X18,slsdtgt0(xb))
| sdtpldt0(X17,X18) != X16 )
& ~ aElementOf0(X16,xI) )
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10))) ) ) )
& ! [X19] :
( ( ! [X20,X21] :
( ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19 )
& ~ aElementOf0(X19,xI) )
| X19 = sz00
| ( aElementOf0(esk44_1(X19),slsdtgt0(xa))
& aElementOf0(esk45_1(X19),slsdtgt0(xb))
& sdtpldt0(esk44_1(X19),esk45_1(X19)) = esk43_1(X19)
& aElementOf0(esk43_1(X19),xI)
& esk43_1(X19) != sz00
& iLess0(sbrdtbr0(esk43_1(X19)),sbrdtbr0(X19)) ) ) ),
inference(skolemize,[status(esa)],[344]) ).
fof(346,negated_conjecture,
! [X10,X11,X12,X16,X17,X18,X19,X20,X21] :
( ( ( ( ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19 )
& ~ aElementOf0(X19,xI) )
| X19 = sz00
| ( aElementOf0(esk44_1(X19),slsdtgt0(xa))
& aElementOf0(esk45_1(X19),slsdtgt0(xb))
& sdtpldt0(esk44_1(X19),esk45_1(X19)) = esk43_1(X19)
& aElementOf0(esk43_1(X19),xI)
& esk43_1(X19) != sz00
& iLess0(sbrdtbr0(esk43_1(X19)),sbrdtbr0(X19)) ) )
& ( ( ( ( ( ~ aElementOf0(X17,slsdtgt0(xa))
| ~ aElementOf0(X18,slsdtgt0(xb))
| sdtpldt0(X17,X18) != X16 )
& ~ aElementOf0(X16,xI) )
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10))) )
& aElementOf0(esk41_1(X10),slsdtgt0(xa))
& aElementOf0(esk42_1(X10),slsdtgt0(xb))
& sdtpldt0(esk41_1(X10),esk42_1(X10)) = esk40_1(X10)
& aElementOf0(esk40_1(X10),xI)
& esk40_1(X10) != sz00 )
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0))
| ( ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10 )
& ~ aElementOf0(X10,xI) )
| X10 = sz00 )
& aElementOf0(esk38_0,slsdtgt0(xa))
& aElementOf0(esk39_0,slsdtgt0(xb))
& sdtpldt0(esk38_0,esk39_0) = esk37_0
& aElementOf0(esk37_0,xI)
& esk37_0 != sz00 ),
inference(shift_quantors,[status(thm)],[345]) ).
fof(347,negated_conjecture,
! [X10,X11,X12,X16,X17,X18,X19,X20,X21] :
( ( aElementOf0(esk44_1(X19),slsdtgt0(xa))
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( aElementOf0(esk45_1(X19),slsdtgt0(xb))
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( sdtpldt0(esk44_1(X19),esk45_1(X19)) = esk43_1(X19)
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( aElementOf0(esk43_1(X19),xI)
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( esk43_1(X19) != sz00
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X19)),sbrdtbr0(X19))
| ~ aElementOf0(X20,slsdtgt0(xa))
| ~ aElementOf0(X21,slsdtgt0(xb))
| sdtpldt0(X20,X21) != X19
| X19 = sz00 )
& ( aElementOf0(esk44_1(X19),slsdtgt0(xa))
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( aElementOf0(esk45_1(X19),slsdtgt0(xb))
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( sdtpldt0(esk44_1(X19),esk45_1(X19)) = esk43_1(X19)
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( aElementOf0(esk43_1(X19),xI)
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( esk43_1(X19) != sz00
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( iLess0(sbrdtbr0(esk43_1(X19)),sbrdtbr0(X19))
| ~ aElementOf0(X19,xI)
| X19 = sz00 )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| ~ aElementOf0(X17,slsdtgt0(xa))
| ~ aElementOf0(X18,slsdtgt0(xb))
| sdtpldt0(X17,X18) != X16
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10)))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| ~ aElementOf0(X17,slsdtgt0(xa))
| ~ aElementOf0(X18,slsdtgt0(xb))
| sdtpldt0(X17,X18) != X16
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10)))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| ~ aElementOf0(X16,xI)
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10)))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| ~ aElementOf0(X16,xI)
| X16 = sz00
| ~ iLess0(sbrdtbr0(X16),sbrdtbr0(esk40_1(X10)))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| aElementOf0(esk41_1(X10),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| aElementOf0(esk41_1(X10),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| aElementOf0(esk42_1(X10),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| aElementOf0(esk42_1(X10),slsdtgt0(xb))
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| sdtpldt0(esk41_1(X10),esk42_1(X10)) = esk40_1(X10)
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| sdtpldt0(esk41_1(X10),esk42_1(X10)) = esk40_1(X10)
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| aElementOf0(esk40_1(X10),xI)
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| aElementOf0(esk40_1(X10),xI)
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X11,slsdtgt0(xa))
| ~ aElementOf0(X12,slsdtgt0(xb))
| sdtpldt0(X11,X12) != X10
| X10 = sz00
| esk40_1(X10) != sz00
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& ( ~ aElementOf0(X10,xI)
| X10 = sz00
| esk40_1(X10) != sz00
| ~ iLess0(sbrdtbr0(X10),sbrdtbr0(esk37_0)) )
& aElementOf0(esk38_0,slsdtgt0(xa))
& aElementOf0(esk39_0,slsdtgt0(xb))
& sdtpldt0(esk38_0,esk39_0) = esk37_0
& aElementOf0(esk37_0,xI)
& esk37_0 != sz00 ),
inference(distribute,[status(thm)],[346]) ).
cnf(348,negated_conjecture,
esk37_0 != sz00,
inference(split_conjunct,[status(thm)],[347]) ).
cnf(349,negated_conjecture,
aElementOf0(esk37_0,xI),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(350,negated_conjecture,
sdtpldt0(esk38_0,esk39_0) = esk37_0,
inference(split_conjunct,[status(thm)],[347]) ).
cnf(351,negated_conjecture,
aElementOf0(esk39_0,slsdtgt0(xb)),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(352,negated_conjecture,
aElementOf0(esk38_0,slsdtgt0(xa)),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(353,negated_conjecture,
( X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| esk40_1(X1) != sz00
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(355,negated_conjecture,
( aElementOf0(esk40_1(X1),xI)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(357,negated_conjecture,
( sdtpldt0(esk41_1(X1),esk42_1(X1)) = esk40_1(X1)
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(359,negated_conjecture,
( aElementOf0(esk42_1(X1),slsdtgt0(xb))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(361,negated_conjecture,
( aElementOf0(esk41_1(X1),slsdtgt0(xa))
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(363,negated_conjecture,
( X2 = sz00
| X1 = sz00
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk40_1(X1)))
| ~ aElementOf0(X2,xI)
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(367,negated_conjecture,
( X1 = sz00
| iLess0(sbrdtbr0(esk43_1(X1)),sbrdtbr0(X1))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(374,negated_conjecture,
( X1 = sz00
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa))
| esk43_1(X1) != sz00 ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(375,negated_conjecture,
( X1 = sz00
| aElementOf0(esk43_1(X1),xI)
| sdtpldt0(X2,X3) != X1
| ~ aElementOf0(X3,slsdtgt0(xb))
| ~ aElementOf0(X2,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[347]) ).
cnf(423,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI)
| ~ aElementOf0(esk37_0,xI) ),
inference(spm,[status(thm)],[353,367,theory(equality)]) ).
cnf(424,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI)
| $false ),
inference(rw,[status(thm)],[423,349,theory(equality)]) ).
cnf(425,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(cn,[status(thm)],[424,theory(equality)]) ).
cnf(426,negated_conjecture,
( esk43_1(esk37_0) = sz00
| esk40_1(esk43_1(esk37_0)) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[425,348,theory(equality)]) ).
cnf(774,negated_conjecture,
( sz00 = sdtpldt0(X1,X2)
| esk43_1(sdtpldt0(X1,X2)) != sz00
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[374,theory(equality)]) ).
cnf(785,negated_conjecture,
( sz00 = X1
| sz00 = X2
| esk43_1(X1) != sz00
| esk40_1(X2) != X1
| ~ aElementOf0(esk42_1(X2),slsdtgt0(xb))
| ~ aElementOf0(esk41_1(X2),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(spm,[status(thm)],[374,357,theory(equality)]) ).
cnf(799,negated_conjecture,
( sz00 = sdtpldt0(X1,X2)
| aElementOf0(esk43_1(sdtpldt0(X1,X2)),xI)
| ~ aElementOf0(X2,slsdtgt0(xb))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(er,[status(thm)],[375,theory(equality)]) ).
cnf(810,negated_conjecture,
( sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| sz00 = X2
| esk40_1(X2) != X1
| ~ aElementOf0(esk42_1(X2),slsdtgt0(xb))
| ~ aElementOf0(esk41_1(X2),slsdtgt0(xa))
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(spm,[status(thm)],[375,357,theory(equality)]) ).
cnf(890,negated_conjecture,
( sz00 = X1
| sz00 = esk43_1(esk40_1(X1))
| sz00 = esk40_1(X1)
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk43_1(esk40_1(X1)),xI)
| ~ aElementOf0(X1,xI)
| ~ aElementOf0(esk40_1(X1),xI) ),
inference(spm,[status(thm)],[363,367,theory(equality)]) ).
cnf(7255,negated_conjecture,
( esk37_0 = sz00
| esk43_1(esk37_0) != sz00
| ~ aElementOf0(esk39_0,slsdtgt0(xb))
| ~ aElementOf0(esk38_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[774,350,theory(equality)]) ).
cnf(7274,negated_conjecture,
( esk37_0 = sz00
| esk43_1(esk37_0) != sz00
| $false
| ~ aElementOf0(esk38_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[7255,351,theory(equality)]) ).
cnf(7275,negated_conjecture,
( esk37_0 = sz00
| esk43_1(esk37_0) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[7274,352,theory(equality)]) ).
cnf(7276,negated_conjecture,
( esk37_0 = sz00
| esk43_1(esk37_0) != sz00 ),
inference(cn,[status(thm)],[7275,theory(equality)]) ).
cnf(7277,negated_conjecture,
esk43_1(esk37_0) != sz00,
inference(sr,[status(thm)],[7276,348,theory(equality)]) ).
cnf(7497,negated_conjecture,
( sz00 = X1
| sz00 = X2
| esk43_1(X1) != sz00
| esk40_1(X2) != X1
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk42_1(X2),slsdtgt0(xb))
| ~ aElementOf0(X2,xI) ),
inference(csr,[status(thm)],[785,361]) ).
cnf(7498,negated_conjecture,
( sz00 = X1
| sz00 = X2
| esk43_1(X1) != sz00
| esk40_1(X2) != X1
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(csr,[status(thm)],[7497,359]) ).
cnf(7499,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| sz00 = esk37_0
| esk43_1(X1) != sz00
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI)
| ~ aElementOf0(esk37_0,xI) ),
inference(spm,[status(thm)],[7498,367,theory(equality)]) ).
cnf(7504,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| sz00 = esk37_0
| esk43_1(X1) != sz00
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI)
| $false ),
inference(rw,[status(thm)],[7499,349,theory(equality)]) ).
cnf(7505,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| sz00 = esk37_0
| esk43_1(X1) != sz00
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(cn,[status(thm)],[7504,theory(equality)]) ).
cnf(7506,negated_conjecture,
( sz00 = X1
| esk37_0 = sz00
| esk43_1(X1) != sz00
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[7505,7277,theory(equality)]) ).
cnf(7507,negated_conjecture,
( sz00 = X1
| esk43_1(X1) != sz00
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(sr,[status(thm)],[7506,348,theory(equality)]) ).
cnf(7519,negated_conjecture,
( sz00 = esk40_1(esk43_1(esk37_0))
| esk43_1(esk40_1(esk43_1(esk37_0))) != sz00
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(er,[status(thm)],[7507,theory(equality)]) ).
cnf(7577,negated_conjecture,
( esk37_0 = sz00
| aElementOf0(esk43_1(esk37_0),xI)
| ~ aElementOf0(esk39_0,slsdtgt0(xb))
| ~ aElementOf0(esk38_0,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[799,350,theory(equality)]) ).
cnf(7597,negated_conjecture,
( esk37_0 = sz00
| aElementOf0(esk43_1(esk37_0),xI)
| $false
| ~ aElementOf0(esk38_0,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[7577,351,theory(equality)]) ).
cnf(7598,negated_conjecture,
( esk37_0 = sz00
| aElementOf0(esk43_1(esk37_0),xI)
| $false
| $false ),
inference(rw,[status(thm)],[7597,352,theory(equality)]) ).
cnf(7599,negated_conjecture,
( esk37_0 = sz00
| aElementOf0(esk43_1(esk37_0),xI) ),
inference(cn,[status(thm)],[7598,theory(equality)]) ).
cnf(7600,negated_conjecture,
aElementOf0(esk43_1(esk37_0),xI),
inference(sr,[status(thm)],[7599,348,theory(equality)]) ).
cnf(7614,negated_conjecture,
( esk40_1(esk43_1(esk37_0)) = sz00
| esk43_1(esk40_1(esk43_1(esk37_0))) != sz00
| $false ),
inference(rw,[status(thm)],[7519,7600,theory(equality)]) ).
cnf(7615,negated_conjecture,
( esk40_1(esk43_1(esk37_0)) = sz00
| esk43_1(esk40_1(esk43_1(esk37_0))) != sz00 ),
inference(cn,[status(thm)],[7614,theory(equality)]) ).
cnf(7633,negated_conjecture,
( esk43_1(esk37_0) = sz00
| esk40_1(esk43_1(esk37_0)) != sz00
| $false ),
inference(rw,[status(thm)],[426,7600,theory(equality)]) ).
cnf(7634,negated_conjecture,
( esk43_1(esk37_0) = sz00
| esk40_1(esk43_1(esk37_0)) != sz00 ),
inference(cn,[status(thm)],[7633,theory(equality)]) ).
cnf(7635,negated_conjecture,
esk40_1(esk43_1(esk37_0)) != sz00,
inference(sr,[status(thm)],[7634,7277,theory(equality)]) ).
cnf(7656,negated_conjecture,
esk43_1(esk40_1(esk43_1(esk37_0))) != sz00,
inference(sr,[status(thm)],[7615,7635,theory(equality)]) ).
cnf(7834,negated_conjecture,
( sz00 = X1
| sz00 = X2
| aElementOf0(esk43_1(X1),xI)
| esk40_1(X2) != X1
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk42_1(X2),slsdtgt0(xb))
| ~ aElementOf0(X2,xI) ),
inference(csr,[status(thm)],[810,361]) ).
cnf(7835,negated_conjecture,
( sz00 = X1
| sz00 = X2
| aElementOf0(esk43_1(X1),xI)
| esk40_1(X2) != X1
| ~ iLess0(sbrdtbr0(X2),sbrdtbr0(esk37_0))
| ~ aElementOf0(X2,xI) ),
inference(csr,[status(thm)],[7834,359]) ).
cnf(7836,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != X1
| ~ aElementOf0(esk43_1(esk37_0),xI)
| ~ aElementOf0(esk37_0,xI) ),
inference(spm,[status(thm)],[7835,367,theory(equality)]) ).
cnf(7841,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != X1
| $false
| ~ aElementOf0(esk37_0,xI) ),
inference(rw,[status(thm)],[7836,7600,theory(equality)]) ).
cnf(7842,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != X1
| $false
| $false ),
inference(rw,[status(thm)],[7841,349,theory(equality)]) ).
cnf(7843,negated_conjecture,
( sz00 = esk43_1(esk37_0)
| sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| sz00 = esk37_0
| esk40_1(esk43_1(esk37_0)) != X1 ),
inference(cn,[status(thm)],[7842,theory(equality)]) ).
cnf(7844,negated_conjecture,
( sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| esk37_0 = sz00
| esk40_1(esk43_1(esk37_0)) != X1 ),
inference(sr,[status(thm)],[7843,7277,theory(equality)]) ).
cnf(7845,negated_conjecture,
( sz00 = X1
| aElementOf0(esk43_1(X1),xI)
| esk40_1(esk43_1(esk37_0)) != X1 ),
inference(sr,[status(thm)],[7844,348,theory(equality)]) ).
cnf(7862,negated_conjecture,
( sz00 = esk40_1(esk43_1(esk37_0))
| aElementOf0(esk43_1(esk40_1(esk43_1(esk37_0))),xI) ),
inference(er,[status(thm)],[7845,theory(equality)]) ).
cnf(7863,negated_conjecture,
aElementOf0(esk43_1(esk40_1(esk43_1(esk37_0))),xI),
inference(sr,[status(thm)],[7862,7635,theory(equality)]) ).
cnf(8595,negated_conjecture,
( esk43_1(esk40_1(X1)) = sz00
| esk40_1(X1) = sz00
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk43_1(esk40_1(X1)),xI)
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[890,355]) ).
cnf(8596,negated_conjecture,
( esk43_1(esk40_1(X1)) = sz00
| sz00 = X1
| ~ iLess0(sbrdtbr0(X1),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk43_1(esk40_1(X1)),xI)
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[8595,353]) ).
cnf(8597,negated_conjecture,
( esk43_1(esk40_1(esk43_1(esk37_0))) = sz00
| sz00 = esk43_1(esk37_0)
| ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0))
| ~ aElementOf0(esk43_1(esk37_0),xI) ),
inference(spm,[status(thm)],[8596,7863,theory(equality)]) ).
cnf(8613,negated_conjecture,
( esk43_1(esk40_1(esk43_1(esk37_0))) = sz00
| sz00 = esk43_1(esk37_0)
| ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0))
| $false ),
inference(rw,[status(thm)],[8597,7600,theory(equality)]) ).
cnf(8614,negated_conjecture,
( esk43_1(esk40_1(esk43_1(esk37_0))) = sz00
| sz00 = esk43_1(esk37_0)
| ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)) ),
inference(cn,[status(thm)],[8613,theory(equality)]) ).
cnf(8615,negated_conjecture,
( esk43_1(esk37_0) = sz00
| ~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)) ),
inference(sr,[status(thm)],[8614,7656,theory(equality)]) ).
cnf(8616,negated_conjecture,
~ iLess0(sbrdtbr0(esk43_1(esk37_0)),sbrdtbr0(esk37_0)),
inference(sr,[status(thm)],[8615,7277,theory(equality)]) ).
cnf(8617,negated_conjecture,
( sz00 = esk37_0
| ~ aElementOf0(esk37_0,xI) ),
inference(spm,[status(thm)],[8616,367,theory(equality)]) ).
cnf(8621,negated_conjecture,
( sz00 = esk37_0
| $false ),
inference(rw,[status(thm)],[8617,349,theory(equality)]) ).
cnf(8622,negated_conjecture,
sz00 = esk37_0,
inference(cn,[status(thm)],[8621,theory(equality)]) ).
cnf(8623,negated_conjecture,
$false,
inference(sr,[status(thm)],[8622,348,theory(equality)]) ).
cnf(8624,negated_conjecture,
$false,
8623,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG111+4.p
% --creating new selector for []
% -running prover on /tmp/tmpGjwcPf/sel_RNG111+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG111+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG111+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG111+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
%
%------------------------------------------------------------------------------