TSTP Solution File: RNG108+4 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG108+4 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 02:24:29 EST 2010
% Result : Theorem 0.36s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 55 ( 10 unt; 0 def)
% Number of atoms : 430 ( 121 equ)
% Maximal formula atoms : 96 ( 7 avg)
% Number of connectives : 630 ( 255 ~; 236 |; 131 &)
% ( 3 <=>; 5 =>; 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 : 13 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 117 ( 0 sgn 80 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
file('/tmp/tmp5_p55g/sel_RNG108+4.p_1',mMulZero) ).
fof(14,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
file('/tmp/tmp5_p55g/sel_RNG108+4.p_1',mMulUnit) ).
fof(22,axiom,
aElement0(sz10),
file('/tmp/tmp5_p55g/sel_RNG108+4.p_1',mSortsC_01) ).
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/tmp5_p55g/sel_RNG108+4.p_1',m__2174) ).
fof(29,axiom,
aElement0(sz00),
file('/tmp/tmp5_p55g/sel_RNG108+4.p_1',mSortsC) ).
fof(33,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/tmp/tmp5_p55g/sel_RNG108+4.p_1',m__2091) ).
fof(43,conjecture,
( ( ? [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/tmp5_p55g/sel_RNG108+4.p_1',m__) ).
fof(44,negated_conjecture,
~ ( ( ? [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)) ) ),
inference(assume_negation,[status(cth)],[43]) ).
fof(52,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtasdt0(X1,sz00) = sz00
& sz00 = sdtasdt0(sz00,X1) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(53,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtasdt0(X2,sz00) = sz00
& sz00 = sdtasdt0(sz00,X2) ) ),
inference(variable_rename,[status(thm)],[52]) ).
fof(54,plain,
! [X2] :
( ( sdtasdt0(X2,sz00) = sz00
| ~ aElement0(X2) )
& ( sz00 = sdtasdt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[53]) ).
cnf(56,plain,
( sdtasdt0(X1,sz00) = sz00
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[54]) ).
fof(147,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtasdt0(X1,sz10) = X1
& X1 = sdtasdt0(sz10,X1) ) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(148,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtasdt0(X2,sz10) = X2
& X2 = sdtasdt0(sz10,X2) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,plain,
! [X2] :
( ( sdtasdt0(X2,sz10) = X2
| ~ aElement0(X2) )
& ( X2 = sdtasdt0(sz10,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(151,plain,
( sdtasdt0(X1,sz10) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(184,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[22]) ).
fof(185,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(186,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)],[185]) ).
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))
| ( 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)],[186]) ).
fof(188,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)],[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(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)],[188]) ).
cnf(197,plain,
( aElementOf0(X1,slsdtgt0(xa))
| sdtasdt0(xa,X2) != X1
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(200,plain,
( aElementOf0(X1,slsdtgt0(xb))
| sdtasdt0(xb,X2) != X1
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[189]) ).
cnf(243,plain,
aElement0(sz00),
inference(split_conjunct,[status(thm)],[29]) ).
cnf(261,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[33]) ).
cnf(262,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[33]) ).
fof(310,negated_conjecture,
( ( ! [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)) ) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(311,negated_conjecture,
( ( ! [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)],[310]) ).
fof(312,negated_conjecture,
! [X2,X3,X4,X5] :
( ( ( ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ~ aElementOf0(xb,slsdtgt0(xb)) )
| ( ( ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00 )
& ~ aElementOf0(sz00,slsdtgt0(xb)) )
| ( ( ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa )
& ~ aElementOf0(xa,slsdtgt0(xa)) )
| ( ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00 )
& ~ aElementOf0(sz00,slsdtgt0(xa)) ) ),
inference(shift_quantors,[status(thm)],[311]) ).
fof(313,negated_conjecture,
! [X2,X3,X4,X5] :
( ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElement0(X5)
| sdtasdt0(xb,X5) != xb )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(X4)
| sdtasdt0(xb,X4) != sz00
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(X3)
| sdtasdt0(xa,X3) != xa
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElement0(X2)
| sdtasdt0(xa,X2) != sz00
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) )
& ( ~ aElementOf0(sz00,slsdtgt0(xa))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xb,slsdtgt0(xb)) ) ),
inference(distribute,[status(thm)],[312]) ).
cnf(322,negated_conjecture,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1)
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa))
| ~ aElementOf0(sz00,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[313]) ).
cnf(385,plain,
( aElementOf0(sdtasdt0(xa,X1),slsdtgt0(xa))
| ~ aElement0(X1) ),
inference(er,[status(thm)],[197,theory(equality)]) ).
cnf(395,plain,
( aElementOf0(X1,slsdtgt0(xb))
| sz00 != X1
| ~ aElement0(sz00)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[200,56,theory(equality)]) ).
cnf(397,plain,
( aElementOf0(X1,slsdtgt0(xb))
| sz00 != X1
| $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[395,243,theory(equality)]) ).
cnf(398,plain,
( aElementOf0(X1,slsdtgt0(xb))
| sz00 != X1
| $false
| $false ),
inference(rw,[status(thm)],[397,261,theory(equality)]) ).
cnf(399,plain,
( aElementOf0(X1,slsdtgt0(xb))
| sz00 != X1 ),
inference(cn,[status(thm)],[398,theory(equality)]) ).
cnf(2028,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| ~ aElement0(sz00)
| ~ aElement0(xa) ),
inference(spm,[status(thm)],[385,56,theory(equality)]) ).
cnf(2029,plain,
( aElementOf0(xa,slsdtgt0(xa))
| ~ aElement0(sz10)
| ~ aElement0(xa) ),
inference(spm,[status(thm)],[385,151,theory(equality)]) ).
cnf(2041,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| $false
| ~ aElement0(xa) ),
inference(rw,[status(thm)],[2028,243,theory(equality)]) ).
cnf(2042,plain,
( aElementOf0(sz00,slsdtgt0(xa))
| $false
| $false ),
inference(rw,[status(thm)],[2041,262,theory(equality)]) ).
cnf(2043,plain,
aElementOf0(sz00,slsdtgt0(xa)),
inference(cn,[status(thm)],[2042,theory(equality)]) ).
cnf(2044,plain,
( aElementOf0(xa,slsdtgt0(xa))
| $false
| ~ aElement0(xa) ),
inference(rw,[status(thm)],[2029,184,theory(equality)]) ).
cnf(2045,plain,
( aElementOf0(xa,slsdtgt0(xa))
| $false
| $false ),
inference(rw,[status(thm)],[2044,262,theory(equality)]) ).
cnf(2046,plain,
aElementOf0(xa,slsdtgt0(xa)),
inference(cn,[status(thm)],[2045,theory(equality)]) ).
cnf(2132,negated_conjecture,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1)
| $false
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[322,2043,theory(equality)]) ).
cnf(2133,negated_conjecture,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1)
| ~ aElementOf0(sz00,slsdtgt0(xb))
| ~ aElementOf0(xa,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[2132,theory(equality)]) ).
cnf(2145,negated_conjecture,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1)
| ~ aElementOf0(sz00,slsdtgt0(xb))
| $false ),
inference(rw,[status(thm)],[2133,2046,theory(equality)]) ).
cnf(2146,negated_conjecture,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1)
| ~ aElementOf0(sz00,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[2145,theory(equality)]) ).
cnf(2319,plain,
( sdtasdt0(xb,X1) != xb
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[2146,399,theory(equality)]) ).
cnf(2336,plain,
( ~ aElement0(sz10)
| ~ aElement0(xb) ),
inference(spm,[status(thm)],[2319,151,theory(equality)]) ).
cnf(2350,plain,
( $false
| ~ aElement0(xb) ),
inference(rw,[status(thm)],[2336,184,theory(equality)]) ).
cnf(2351,plain,
( $false
| $false ),
inference(rw,[status(thm)],[2350,261,theory(equality)]) ).
cnf(2352,plain,
$false,
inference(cn,[status(thm)],[2351,theory(equality)]) ).
cnf(2353,plain,
$false,
2352,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG108+4.p
% --creating new selector for []
% -running prover on /tmp/tmp5_p55g/sel_RNG108+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG108+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG108+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG108+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
%
%------------------------------------------------------------------------------