TSTP Solution File: RNG120+4 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG120+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 02:34:03 EST 2010
% Result : Theorem 14.02s
% Output : CNFRefutation 14.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 10
% Syntax : Number of formulae : 76 ( 10 unt; 0 def)
% Number of atoms : 401 ( 87 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 514 ( 189 ~; 169 |; 144 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 155 ( 0 sgn 98 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(12,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/tmpvd6kzK/sel_RNG120+4.p_1',m__2273) ).
fof(13,axiom,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',m__2666) ).
fof(27,axiom,
aElement0(sz10),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',mSortsC_01) ).
fof(28,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/tmpvd6kzK/sel_RNG120+4.p_1',m__2174) ).
fof(34,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',mSortsB_02) ).
fof(37,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtpldt0(X1,X2)) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',mSortsB) ).
fof(40,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',m__2091) ).
fof(48,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',mMulMnOne) ).
fof(49,axiom,
! [X1] :
( aElement0(X1)
=> aElement0(smndt0(X1)) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',mSortsU) ).
fof(52,conjecture,
( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = smndt0(sdtasdt0(xq,xu)) )
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
file('/tmp/tmpvd6kzK/sel_RNG120+4.p_1',m__) ).
fof(53,negated_conjecture,
~ ( ? [X1,X2] :
( aElementOf0(X1,slsdtgt0(xa))
& aElementOf0(X2,slsdtgt0(xb))
& sdtpldt0(X1,X2) = smndt0(sdtasdt0(xq,xu)) )
| aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(assume_negation,[status(cth)],[52]) ).
fof(54,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)],[12,theory(equality)]) ).
fof(163,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)],[54]) ).
fof(164,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)],[163]) ).
fof(165,plain,
( aElementOf0(esk9_0,slsdtgt0(xa))
& aElementOf0(esk10_0,slsdtgt0(xb))
& sdtpldt0(esk9_0,esk10_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)],[164]) ).
fof(166,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(esk9_0,slsdtgt0(xa))
& aElementOf0(esk10_0,slsdtgt0(xb))
& sdtpldt0(esk9_0,esk10_0) = xu
& aElementOf0(xu,xI)
& xu != sz00 ),
inference(shift_quantors,[status(thm)],[165]) ).
fof(167,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(esk9_0,slsdtgt0(xa))
& aElementOf0(esk10_0,slsdtgt0(xb))
& sdtpldt0(esk9_0,esk10_0) = xu
& aElementOf0(xu,xI)
& xu != sz00 ),
inference(distribute,[status(thm)],[166]) ).
cnf(169,plain,
aElementOf0(xu,xI),
inference(split_conjunct,[status(thm)],[167]) ).
cnf(178,plain,
aElement0(xq),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(233,plain,
aElement0(sz10),
inference(split_conjunct,[status(thm)],[27]) ).
fof(234,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)],[28]) ).
fof(235,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)],[234]) ).
fof(236,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)],[235]) ).
fof(237,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)],[236]) ).
fof(238,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)],[237]) ).
cnf(243,plain,
( aElementOf0(sdtasdt0(X2,X1),xI)
| ~ aElementOf0(X1,xI)
| ~ aElement0(X2) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(244,plain,
( sdtasdt0(xa,esk16_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(245,plain,
( aElement0(esk16_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(247,plain,
( sdtasdt0(xb,esk17_1(X1)) = X1
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(248,plain,
( aElement0(esk17_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(250,plain,
( sdtpldt0(esk18_1(X1),esk19_1(X1)) = X1
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(251,plain,
( aElementOf0(esk19_1(X1),slsdtgt0(xb))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[238]) ).
cnf(252,plain,
( aElementOf0(esk18_1(X1),slsdtgt0(xa))
| ~ aElementOf0(X1,xI) ),
inference(split_conjunct,[status(thm)],[238]) ).
fof(305,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sdtasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(306,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[305]) ).
cnf(307,plain,
( aElement0(sdtasdt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[306]) ).
fof(310,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| aElement0(sdtpldt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(311,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| aElement0(sdtpldt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[310]) ).
cnf(312,plain,
( aElement0(sdtpldt0(X1,X2))
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
cnf(327,plain,
aElement0(xb),
inference(split_conjunct,[status(thm)],[40]) ).
cnf(328,plain,
aElement0(xa),
inference(split_conjunct,[status(thm)],[40]) ).
fof(371,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
& smndt0(X1) = sdtasdt0(X1,smndt0(sz10)) ) ),
inference(fof_nnf,[status(thm)],[48]) ).
fof(372,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
& smndt0(X2) = sdtasdt0(X2,smndt0(sz10)) ) ),
inference(variable_rename,[status(thm)],[371]) ).
fof(373,plain,
! [X2] :
( ( sdtasdt0(smndt0(sz10),X2) = smndt0(X2)
| ~ aElement0(X2) )
& ( smndt0(X2) = sdtasdt0(X2,smndt0(sz10))
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[372]) ).
cnf(375,plain,
( sdtasdt0(smndt0(sz10),X1) = smndt0(X1)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[373]) ).
fof(376,plain,
! [X1] :
( ~ aElement0(X1)
| aElement0(smndt0(X1)) ),
inference(fof_nnf,[status(thm)],[49]) ).
fof(377,plain,
! [X2] :
( ~ aElement0(X2)
| aElement0(smndt0(X2)) ),
inference(variable_rename,[status(thm)],[376]) ).
cnf(378,plain,
( aElement0(smndt0(X1))
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[377]) ).
fof(396,negated_conjecture,
( ! [X1,X2] :
( ~ aElementOf0(X1,slsdtgt0(xa))
| ~ aElementOf0(X2,slsdtgt0(xb))
| sdtpldt0(X1,X2) != smndt0(sdtasdt0(xq,xu)) )
& ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(397,negated_conjecture,
( ! [X3,X4] :
( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != smndt0(sdtasdt0(xq,xu)) )
& ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(variable_rename,[status(thm)],[396]) ).
fof(398,negated_conjecture,
! [X3,X4] :
( ( ~ aElementOf0(X3,slsdtgt0(xa))
| ~ aElementOf0(X4,slsdtgt0(xb))
| sdtpldt0(X3,X4) != smndt0(sdtasdt0(xq,xu)) )
& ~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI) ),
inference(shift_quantors,[status(thm)],[397]) ).
cnf(399,negated_conjecture,
~ aElementOf0(smndt0(sdtasdt0(xq,xu)),xI),
inference(split_conjunct,[status(thm)],[398]) ).
cnf(485,plain,
( aElementOf0(smndt0(X1),xI)
| ~ aElement0(smndt0(sz10))
| ~ aElementOf0(X1,xI)
| ~ aElement0(X1) ),
inference(spm,[status(thm)],[243,375,theory(equality)]) ).
cnf(583,plain,
( aElement0(X1)
| ~ aElement0(esk17_1(X1))
| ~ aElement0(xb)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(spm,[status(thm)],[307,247,theory(equality)]) ).
cnf(585,plain,
( aElement0(X1)
| ~ aElement0(esk16_1(X1))
| ~ aElement0(xa)
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(spm,[status(thm)],[307,244,theory(equality)]) ).
cnf(626,plain,
( aElement0(X1)
| ~ aElement0(esk17_1(X1))
| $false
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(rw,[status(thm)],[583,327,theory(equality)]) ).
cnf(627,plain,
( aElement0(X1)
| ~ aElement0(esk17_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(cn,[status(thm)],[626,theory(equality)]) ).
cnf(630,plain,
( aElement0(X1)
| ~ aElement0(esk16_1(X1))
| $false
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(rw,[status(thm)],[585,328,theory(equality)]) ).
cnf(631,plain,
( aElement0(X1)
| ~ aElement0(esk16_1(X1))
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(cn,[status(thm)],[630,theory(equality)]) ).
cnf(701,plain,
( aElement0(X1)
| ~ aElement0(esk19_1(X1))
| ~ aElement0(esk18_1(X1))
| ~ aElementOf0(X1,xI) ),
inference(spm,[status(thm)],[312,250,theory(equality)]) ).
cnf(3776,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElement0(sdtasdt0(xq,xu))
| ~ aElementOf0(sdtasdt0(xq,xu),xI) ),
inference(spm,[status(thm)],[399,485,theory(equality)]) ).
cnf(4632,plain,
( aElement0(X1)
| ~ aElementOf0(X1,slsdtgt0(xb)) ),
inference(csr,[status(thm)],[627,248]) ).
cnf(4638,plain,
( aElement0(esk19_1(X1))
| ~ aElementOf0(X1,xI) ),
inference(spm,[status(thm)],[4632,251,theory(equality)]) ).
cnf(4852,plain,
( aElement0(X1)
| ~ aElementOf0(X1,slsdtgt0(xa)) ),
inference(csr,[status(thm)],[631,245]) ).
cnf(4858,plain,
( aElement0(esk18_1(X1))
| ~ aElementOf0(X1,xI) ),
inference(spm,[status(thm)],[4852,252,theory(equality)]) ).
cnf(5675,plain,
( aElement0(X1)
| ~ aElement0(esk18_1(X1))
| ~ aElementOf0(X1,xI) ),
inference(csr,[status(thm)],[701,4638]) ).
cnf(6370,plain,
( aElement0(X1)
| ~ aElementOf0(X1,xI) ),
inference(spm,[status(thm)],[5675,4858,theory(equality)]) ).
cnf(260198,plain,
( ~ aElement0(smndt0(sz10))
| ~ aElementOf0(sdtasdt0(xq,xu),xI) ),
inference(csr,[status(thm)],[3776,6370]) ).
cnf(260199,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| ~ aElement0(sz10) ),
inference(spm,[status(thm)],[260198,378,theory(equality)]) ).
cnf(260211,plain,
( ~ aElementOf0(sdtasdt0(xq,xu),xI)
| $false ),
inference(rw,[status(thm)],[260199,233,theory(equality)]) ).
cnf(260212,plain,
~ aElementOf0(sdtasdt0(xq,xu),xI),
inference(cn,[status(thm)],[260211,theory(equality)]) ).
cnf(260213,plain,
( ~ aElement0(xq)
| ~ aElementOf0(xu,xI) ),
inference(spm,[status(thm)],[260212,243,theory(equality)]) ).
cnf(260235,plain,
( $false
| ~ aElementOf0(xu,xI) ),
inference(rw,[status(thm)],[260213,178,theory(equality)]) ).
cnf(260236,plain,
( $false
| $false ),
inference(rw,[status(thm)],[260235,169,theory(equality)]) ).
cnf(260237,plain,
$false,
inference(cn,[status(thm)],[260236,theory(equality)]) ).
cnf(260238,plain,
$false,
260237,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG120+4.p
% --creating new selector for []
% -running prover on /tmp/tmpvd6kzK/sel_RNG120+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG120+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG120+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG120+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
%
%------------------------------------------------------------------------------