TSTP Solution File: RNG119+4 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG119+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 02:33:42 EST 2010
% Result : Theorem 0.33s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 355 ( 103 equ)
% Maximal formula atoms : 33 ( 5 avg)
% Number of connectives : 449 ( 156 ~; 140 |; 140 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 100 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( aSet0(X1)
=> ! [X2] :
( aElementOf0(X2,X1)
=> aElement0(X2) ) ),
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',mEOfElem) ).
fof(5,axiom,
~ ( ? [X1] :
( aElement0(X1)
& sdtasdt0(xu,X1) = xb )
| doDivides0(xu,xb) ),
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',m__2612) ).
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/tmpbQNxLt/sel_RNG119+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/tmpbQNxLt/sel_RNG119+4.p_1',m__2666) ).
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/tmpbQNxLt/sel_RNG119+4.p_1',m__2174) ).
fof(34,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> aElement0(sdtasdt0(X1,X2)) ),
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',mSortsB_02) ).
fof(41,axiom,
! [X1] :
( aElement0(X1)
=> ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',mAddZero) ).
fof(42,axiom,
! [X1,X2] :
( ( aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',mMulComm) ).
fof(51,conjecture,
xr != sz00,
file('/tmp/tmpbQNxLt/sel_RNG119+4.p_1',m__) ).
fof(52,negated_conjecture,
~ ( xr != sz00 ),
inference(assume_negation,[status(cth)],[51]) ).
fof(53,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(54,negated_conjecture,
xr = sz00,
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(55,plain,
! [X1] :
( ~ aSet0(X1)
| ! [X2] :
( ~ aElementOf0(X2,X1)
| aElement0(X2) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(56,plain,
! [X3] :
( ~ aSet0(X3)
| ! [X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4) ) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,plain,
! [X3,X4] :
( ~ aElementOf0(X4,X3)
| aElement0(X4)
| ~ aSet0(X3) ),
inference(shift_quantors,[status(thm)],[56]) ).
cnf(58,plain,
( aElement0(X2)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X1) ),
inference(split_conjunct,[status(thm)],[57]) ).
fof(70,plain,
( ! [X1] :
( ~ aElement0(X1)
| sdtasdt0(xu,X1) != xb )
& ~ doDivides0(xu,xb) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(71,plain,
( ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xu,X2) != xb )
& ~ doDivides0(xu,xb) ),
inference(variable_rename,[status(thm)],[70]) ).
fof(72,plain,
! [X2] :
( ( ~ aElement0(X2)
| sdtasdt0(xu,X2) != xb )
& ~ doDivides0(xu,xb) ),
inference(shift_quantors,[status(thm)],[71]) ).
cnf(74,plain,
( sdtasdt0(xu,X1) != xb
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[72]) ).
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)],[53]) ).
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(176,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(split_conjunct,[status(thm)],[13]) ).
cnf(178,plain,
aElement0(xq),
inference(split_conjunct,[status(thm)],[13]) ).
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(241,plain,
aSet0(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(336,plain,
! [X1] :
( ~ aElement0(X1)
| ( sdtpldt0(X1,sz00) = X1
& X1 = sdtpldt0(sz00,X1) ) ),
inference(fof_nnf,[status(thm)],[41]) ).
fof(337,plain,
! [X2] :
( ~ aElement0(X2)
| ( sdtpldt0(X2,sz00) = X2
& X2 = sdtpldt0(sz00,X2) ) ),
inference(variable_rename,[status(thm)],[336]) ).
fof(338,plain,
! [X2] :
( ( sdtpldt0(X2,sz00) = X2
| ~ aElement0(X2) )
& ( X2 = sdtpldt0(sz00,X2)
| ~ aElement0(X2) ) ),
inference(distribute,[status(thm)],[337]) ).
cnf(340,plain,
( sdtpldt0(X1,sz00) = X1
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[338]) ).
fof(341,plain,
! [X1,X2] :
( ~ aElement0(X1)
| ~ aElement0(X2)
| sdtasdt0(X1,X2) = sdtasdt0(X2,X1) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(342,plain,
! [X3,X4] :
( ~ aElement0(X3)
| ~ aElement0(X4)
| sdtasdt0(X3,X4) = sdtasdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[341]) ).
cnf(343,plain,
( sdtasdt0(X1,X2) = sdtasdt0(X2,X1)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(split_conjunct,[status(thm)],[342]) ).
cnf(395,negated_conjecture,
xr = sz00,
inference(split_conjunct,[status(thm)],[54]) ).
cnf(406,plain,
sdtpldt0(sdtasdt0(xq,xu),sz00) = xb,
inference(rw,[status(thm)],[176,395,theory(equality)]) ).
cnf(409,plain,
( sdtasdt0(xq,xu) = xb
| ~ aElement0(sdtasdt0(xq,xu)) ),
inference(spm,[status(thm)],[406,340,theory(equality)]) ).
cnf(429,plain,
( aElement0(xu)
| ~ aSet0(xI) ),
inference(spm,[status(thm)],[58,169,theory(equality)]) ).
cnf(439,plain,
( aElement0(xu)
| $false ),
inference(rw,[status(thm)],[429,241,theory(equality)]) ).
cnf(440,plain,
aElement0(xu),
inference(cn,[status(thm)],[439,theory(equality)]) ).
cnf(2615,plain,
( sdtasdt0(xq,xu) = xb
| ~ aElement0(xu)
| ~ aElement0(xq) ),
inference(spm,[status(thm)],[409,307,theory(equality)]) ).
cnf(2618,plain,
( sdtasdt0(xq,xu) = xb
| $false
| ~ aElement0(xq) ),
inference(rw,[status(thm)],[2615,440,theory(equality)]) ).
cnf(2619,plain,
( sdtasdt0(xq,xu) = xb
| $false
| $false ),
inference(rw,[status(thm)],[2618,178,theory(equality)]) ).
cnf(2620,plain,
sdtasdt0(xq,xu) = xb,
inference(cn,[status(thm)],[2619,theory(equality)]) ).
cnf(2637,plain,
( xb = sdtasdt0(xu,xq)
| ~ aElement0(xu)
| ~ aElement0(xq) ),
inference(spm,[status(thm)],[343,2620,theory(equality)]) ).
cnf(2672,plain,
( xb = sdtasdt0(xu,xq)
| $false
| ~ aElement0(xq) ),
inference(rw,[status(thm)],[2637,440,theory(equality)]) ).
cnf(2673,plain,
( xb = sdtasdt0(xu,xq)
| $false
| $false ),
inference(rw,[status(thm)],[2672,178,theory(equality)]) ).
cnf(2674,plain,
xb = sdtasdt0(xu,xq),
inference(cn,[status(thm)],[2673,theory(equality)]) ).
cnf(2750,plain,
~ aElement0(xq),
inference(spm,[status(thm)],[74,2674,theory(equality)]) ).
cnf(2774,plain,
$false,
inference(rw,[status(thm)],[2750,178,theory(equality)]) ).
cnf(2775,plain,
$false,
inference(cn,[status(thm)],[2774,theory(equality)]) ).
cnf(2776,plain,
$false,
2775,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG119+4.p
% --creating new selector for []
% -running prover on /tmp/tmpbQNxLt/sel_RNG119+4.p_1 with time limit 29
% -prover status Theorem
% Problem RNG119+4.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG119+4.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG119+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
%
%------------------------------------------------------------------------------