TSTP Solution File: RNG106+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG106+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 02:23:55 EST 2010
% Result : Theorem 0.41s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 10 unt; 0 def)
% Number of atoms : 617 ( 132 equ)
% Maximal formula atoms : 258 ( 13 avg)
% Number of connectives : 908 ( 338 ~; 338 |; 214 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 126 ( 2 sgn 73 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(20,axiom,
! [X1] :
( aIdeal0(X1)
<=> ( aSet0(X1)
& ! [X2] :
( aElementOf0(X2,X1)
=> ( ! [X3] :
( aElementOf0(X3,X1)
=> aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) ),
file('/tmp/tmphirOuQ/sel_RNG106+2.p_1',mDefIdeal) ).
fof(34,axiom,
aElement0(xc),
file('/tmp/tmphirOuQ/sel_RNG106+2.p_1',m__1905) ).
fof(39,conjecture,
( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
file('/tmp/tmphirOuQ/sel_RNG106+2.p_1',m__) ).
fof(40,negated_conjecture,
~ ( ! [X1,X2,X3] :
( ( ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1 )
| aElementOf0(X1,slsdtgt0(xc)) )
& ( ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X2 )
| aElementOf0(X2,slsdtgt0(xc)) )
& aElement0(X3) )
=> ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
=> ( ( aSet0(slsdtgt0(xc))
& ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
<=> ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) ) )
=> ( ! [X1] :
( aElementOf0(X1,slsdtgt0(xc))
=> ( ! [X2] :
( aElementOf0(X2,slsdtgt0(xc))
=> aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
| aIdeal0(slsdtgt0(xc)) ) ) ),
inference(assume_negation,[status(cth)],[39]) ).
fof(134,plain,
! [X1] :
( ( ~ aIdeal0(X1)
| ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(sdtpldt0(X2,X3),X1) )
& ! [X3] :
( ~ aElement0(X3)
| aElementOf0(sdtasdt0(X3,X2),X1) ) ) ) ) )
& ( ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ( ? [X3] :
( aElementOf0(X3,X1)
& ~ aElementOf0(sdtpldt0(X2,X3),X1) )
| ? [X3] :
( aElement0(X3)
& ~ aElementOf0(sdtasdt0(X3,X2),X1) ) ) )
| aIdeal0(X1) ) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(135,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ? [X8] :
( aElementOf0(X8,X4)
& ( ? [X9] :
( aElementOf0(X9,X4)
& ~ aElementOf0(sdtpldt0(X8,X9),X4) )
| ? [X10] :
( aElement0(X10)
& ~ aElementOf0(sdtasdt0(X10,X8),X4) ) ) )
| aIdeal0(X4) ) ),
inference(variable_rename,[status(thm)],[134]) ).
fof(136,plain,
! [X4] :
( ( ~ aIdeal0(X4)
| ( aSet0(X4)
& ! [X5] :
( ~ aElementOf0(X5,X4)
| ( ! [X6] :
( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) )
& ! [X7] :
( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) ) ) ) ) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk9_1(X4),X4)
& ( ( aElementOf0(esk10_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4) )
| ( aElement0(esk11_1(X4))
& ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(skolemize,[status(esa)],[135]) ).
fof(137,plain,
! [X4,X5,X6,X7] :
( ( ( ( ( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4) ) )
| ~ aElementOf0(X5,X4) )
& aSet0(X4) )
| ~ aIdeal0(X4) )
& ( ~ aSet0(X4)
| ( aElementOf0(esk9_1(X4),X4)
& ( ( aElementOf0(esk10_1(X4),X4)
& ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4) )
| ( aElement0(esk11_1(X4))
& ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4) ) ) )
| aIdeal0(X4) ) ),
inference(shift_quantors,[status(thm)],[136]) ).
fof(138,plain,
! [X4,X5,X6,X7] :
( ( ~ aElement0(X7)
| aElementOf0(sdtasdt0(X7,X5),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( ~ aElementOf0(X6,X4)
| aElementOf0(sdtpldt0(X5,X6),X4)
| ~ aElementOf0(X5,X4)
| ~ aIdeal0(X4) )
& ( aSet0(X4)
| ~ aIdeal0(X4) )
& ( aElementOf0(esk9_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk11_1(X4))
| aElementOf0(esk10_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4)
| aElementOf0(esk10_1(X4),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( aElement0(esk11_1(X4))
| ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) )
& ( ~ aElementOf0(sdtasdt0(esk11_1(X4),esk9_1(X4)),X4)
| ~ aElementOf0(sdtpldt0(esk9_1(X4),esk10_1(X4)),X4)
| ~ aSet0(X4)
| aIdeal0(X4) ) ),
inference(distribute,[status(thm)],[137]) ).
cnf(143,plain,
( aIdeal0(X1)
| aElementOf0(esk9_1(X1),X1)
| ~ aSet0(X1) ),
inference(split_conjunct,[status(thm)],[138]) ).
cnf(212,plain,
aElement0(xc),
inference(split_conjunct,[status(thm)],[34]) ).
fof(238,negated_conjecture,
( ! [X1,X2,X3] :
( ( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xc,X4) != X1 )
& ~ aElementOf0(X1,slsdtgt0(xc)) )
| ( ! [X4] :
( ~ aElement0(X4)
| sdtasdt0(xc,X4) != X2 )
& ~ aElementOf0(X2,slsdtgt0(xc)) )
| ~ aElement0(X3)
| ? [X4] :
( aElement0(X4)
& sdtasdt0(xc,X4) = X1
& ? [X5] :
( aElement0(X5)
& sdtasdt0(xc,X5) = X2
& sdtpldt0(X1,X2) = sdtasdt0(xc,sdtpldt0(X4,X5))
& sdtasdt0(X3,X1) = sdtasdt0(xc,sdtasdt0(X4,X3))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtpldt0(X1,X2) )
& aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
& ? [X6] :
( aElement0(X6)
& sdtasdt0(xc,X6) = sdtasdt0(X3,X1) )
& aElementOf0(sdtasdt0(X3,X1),slsdtgt0(xc)) ) ) )
& aSet0(slsdtgt0(xc))
& ! [X1] :
( ( ~ aElementOf0(X1,slsdtgt0(xc))
| ? [X2] :
( aElement0(X2)
& sdtasdt0(xc,X2) = X1 ) )
& ( ! [X2] :
( ~ aElement0(X2)
| sdtasdt0(xc,X2) != X1 )
| aElementOf0(X1,slsdtgt0(xc)) ) )
& ? [X1] :
( aElementOf0(X1,slsdtgt0(xc))
& ( ? [X2] :
( aElementOf0(X2,slsdtgt0(xc))
& ~ aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc)) )
| ? [X2] :
( aElement0(X2)
& ~ aElementOf0(sdtasdt0(X2,X1),slsdtgt0(xc)) ) ) )
& ~ aIdeal0(slsdtgt0(xc)) ),
inference(fof_nnf,[status(thm)],[40]) ).
fof(239,negated_conjecture,
( ! [X7,X8,X9] :
( ( ! [X10] :
( ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7 )
& ~ aElementOf0(X7,slsdtgt0(xc)) )
| ( ! [X11] :
( ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8 )
& ~ aElementOf0(X8,slsdtgt0(xc)) )
| ~ aElement0(X9)
| ? [X12] :
( aElement0(X12)
& sdtasdt0(xc,X12) = X7
& ? [X13] :
( aElement0(X13)
& sdtasdt0(xc,X13) = X8
& sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(X12,X13))
& sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(X12,X9))
& ? [X14] :
( aElement0(X14)
& sdtasdt0(xc,X14) = sdtpldt0(X7,X8) )
& aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
& ? [X15] :
( aElement0(X15)
& sdtasdt0(xc,X15) = sdtasdt0(X9,X7) )
& aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)) ) ) )
& aSet0(slsdtgt0(xc))
& ! [X16] :
( ( ~ aElementOf0(X16,slsdtgt0(xc))
| ? [X17] :
( aElement0(X17)
& sdtasdt0(xc,X17) = X16 ) )
& ( ! [X18] :
( ~ aElement0(X18)
| sdtasdt0(xc,X18) != X16 )
| aElementOf0(X16,slsdtgt0(xc)) ) )
& ? [X19] :
( aElementOf0(X19,slsdtgt0(xc))
& ( ? [X20] :
( aElementOf0(X20,slsdtgt0(xc))
& ~ aElementOf0(sdtpldt0(X19,X20),slsdtgt0(xc)) )
| ? [X21] :
( aElement0(X21)
& ~ aElementOf0(sdtasdt0(X21,X19),slsdtgt0(xc)) ) ) )
& ~ aIdeal0(slsdtgt0(xc)) ),
inference(variable_rename,[status(thm)],[238]) ).
fof(240,negated_conjecture,
( ! [X7,X8,X9] :
( ( ! [X10] :
( ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7 )
& ~ aElementOf0(X7,slsdtgt0(xc)) )
| ( ! [X11] :
( ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8 )
& ~ aElementOf0(X8,slsdtgt0(xc)) )
| ~ aElement0(X9)
| ( aElement0(esk21_3(X7,X8,X9))
& sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
& aElement0(esk22_3(X7,X8,X9))
& sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
& sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
& sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
& aElement0(esk23_3(X7,X8,X9))
& sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
& aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
& aElement0(esk24_3(X7,X8,X9))
& sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
& aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)) ) )
& aSet0(slsdtgt0(xc))
& ! [X16] :
( ( ~ aElementOf0(X16,slsdtgt0(xc))
| ( aElement0(esk25_1(X16))
& sdtasdt0(xc,esk25_1(X16)) = X16 ) )
& ( ! [X18] :
( ~ aElement0(X18)
| sdtasdt0(xc,X18) != X16 )
| aElementOf0(X16,slsdtgt0(xc)) ) )
& aElementOf0(esk26_0,slsdtgt0(xc))
& ( ( aElementOf0(esk27_0,slsdtgt0(xc))
& ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
| ( aElement0(esk28_0)
& ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ) )
& ~ aIdeal0(slsdtgt0(xc)) ),
inference(skolemize,[status(esa)],[239]) ).
fof(241,negated_conjecture,
! [X7,X8,X9,X10,X11,X16,X18] :
( ( ~ aElement0(X18)
| sdtasdt0(xc,X18) != X16
| aElementOf0(X16,slsdtgt0(xc)) )
& ( ~ aElementOf0(X16,slsdtgt0(xc))
| ( aElement0(esk25_1(X16))
& sdtasdt0(xc,esk25_1(X16)) = X16 ) )
& aSet0(slsdtgt0(xc))
& aElementOf0(esk26_0,slsdtgt0(xc))
& ( ( aElementOf0(esk27_0,slsdtgt0(xc))
& ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
| ( aElement0(esk28_0)
& ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ) )
& ~ aIdeal0(slsdtgt0(xc))
& ( ( ( ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8 )
& ~ aElementOf0(X8,slsdtgt0(xc)) )
| ( ( ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7 )
& ~ aElementOf0(X7,slsdtgt0(xc)) )
| ~ aElement0(X9)
| ( aElement0(esk21_3(X7,X8,X9))
& sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
& aElement0(esk22_3(X7,X8,X9))
& sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
& sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
& sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
& aElement0(esk23_3(X7,X8,X9))
& sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
& aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
& aElement0(esk24_3(X7,X8,X9))
& sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
& aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc)) ) ) ),
inference(shift_quantors,[status(thm)],[240]) ).
fof(242,negated_conjecture,
! [X7,X8,X9,X10,X11,X16,X18] :
( ( ~ aElement0(X18)
| sdtasdt0(xc,X18) != X16
| aElementOf0(X16,slsdtgt0(xc)) )
& ( aElement0(esk25_1(X16))
| ~ aElementOf0(X16,slsdtgt0(xc)) )
& ( sdtasdt0(xc,esk25_1(X16)) = X16
| ~ aElementOf0(X16,slsdtgt0(xc)) )
& aSet0(slsdtgt0(xc))
& aElementOf0(esk26_0,slsdtgt0(xc))
& ( aElement0(esk28_0)
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| aElementOf0(esk27_0,slsdtgt0(xc)) )
& ( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) )
& ~ aIdeal0(slsdtgt0(xc))
& ( aElement0(esk21_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk22_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk23_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk24_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk21_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk22_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk23_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk24_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElement0(X11)
| sdtasdt0(xc,X11) != X8
| ~ aElement0(X9) )
& ( aElement0(esk21_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk22_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk23_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk24_3(X7,X8,X9))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElement0(X10)
| sdtasdt0(xc,X10) != X7
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk21_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk21_3(X7,X8,X9)) = X7
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk22_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk22_3(X7,X8,X9)) = X8
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtpldt0(X7,X8) = sdtasdt0(xc,sdtpldt0(esk21_3(X7,X8,X9),esk22_3(X7,X8,X9)))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(X9,X7) = sdtasdt0(xc,sdtasdt0(esk21_3(X7,X8,X9),X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk23_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk23_3(X7,X8,X9)) = sdtpldt0(X7,X8)
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtpldt0(X7,X8),slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElement0(esk24_3(X7,X8,X9))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( sdtasdt0(xc,esk24_3(X7,X8,X9)) = sdtasdt0(X9,X7)
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) )
& ( aElementOf0(sdtasdt0(X9,X7),slsdtgt0(xc))
| ~ aElementOf0(X7,slsdtgt0(xc))
| ~ aElementOf0(X8,slsdtgt0(xc))
| ~ aElement0(X9) ) ),
inference(distribute,[status(thm)],[241]) ).
cnf(243,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X3),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(246,negated_conjecture,
( aElementOf0(sdtpldt0(X3,X2),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aElementOf0(X3,slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(291,negated_conjecture,
~ aIdeal0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(292,negated_conjecture,
( ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(293,negated_conjecture,
( aElement0(esk28_0)
| ~ aElementOf0(sdtpldt0(esk26_0,esk27_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(294,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(295,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| aElement0(esk28_0) ),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(296,negated_conjecture,
aElementOf0(esk26_0,slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(297,negated_conjecture,
aSet0(slsdtgt0(xc)),
inference(split_conjunct,[status(thm)],[242]) ).
cnf(494,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| ~ aSet0(slsdtgt0(xc)) ),
inference(spm,[status(thm)],[243,143,theory(equality)]) ).
cnf(498,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc))
| $false ),
inference(rw,[status(thm)],[494,297,theory(equality)]) ).
cnf(499,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| aIdeal0(slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc)) ),
inference(cn,[status(thm)],[498,theory(equality)]) ).
cnf(500,negated_conjecture,
( aElementOf0(sdtasdt0(X1,X2),slsdtgt0(xc))
| ~ aElement0(X1)
| ~ aElementOf0(X2,slsdtgt0(xc)) ),
inference(sr,[status(thm)],[499,291,theory(equality)]) ).
cnf(504,plain,
( aElementOf0(sdtpldt0(X1,X2),slsdtgt0(xc))
| ~ aElementOf0(X1,slsdtgt0(xc))
| ~ aElementOf0(X2,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[246,212,theory(equality)]) ).
cnf(2313,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElement0(esk28_0)
| ~ aElementOf0(esk26_0,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[294,500,theory(equality)]) ).
cnf(2336,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElement0(esk28_0)
| $false ),
inference(rw,[status(thm)],[2313,296,theory(equality)]) ).
cnf(2337,negated_conjecture,
( aElementOf0(esk27_0,slsdtgt0(xc))
| ~ aElement0(esk28_0) ),
inference(cn,[status(thm)],[2336,theory(equality)]) ).
cnf(2363,negated_conjecture,
aElementOf0(esk27_0,slsdtgt0(xc)),
inference(csr,[status(thm)],[2337,295]) ).
cnf(5178,plain,
( aElement0(esk28_0)
| ~ aElementOf0(esk26_0,slsdtgt0(xc))
| ~ aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[293,504,theory(equality)]) ).
cnf(5185,plain,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| ~ aElementOf0(esk26_0,slsdtgt0(xc))
| ~ aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[292,504,theory(equality)]) ).
cnf(5208,plain,
( aElement0(esk28_0)
| $false
| ~ aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(rw,[status(thm)],[5178,296,theory(equality)]) ).
cnf(5209,plain,
( aElement0(esk28_0)
| $false
| $false ),
inference(rw,[status(thm)],[5208,2363,theory(equality)]) ).
cnf(5210,plain,
aElement0(esk28_0),
inference(cn,[status(thm)],[5209,theory(equality)]) ).
cnf(5217,plain,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| $false
| ~ aElementOf0(esk27_0,slsdtgt0(xc)) ),
inference(rw,[status(thm)],[5185,296,theory(equality)]) ).
cnf(5218,plain,
( ~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc))
| $false
| $false ),
inference(rw,[status(thm)],[5217,2363,theory(equality)]) ).
cnf(5219,plain,
~ aElementOf0(sdtasdt0(esk28_0,esk26_0),slsdtgt0(xc)),
inference(cn,[status(thm)],[5218,theory(equality)]) ).
cnf(5240,negated_conjecture,
( ~ aElement0(esk28_0)
| ~ aElementOf0(esk26_0,slsdtgt0(xc)) ),
inference(spm,[status(thm)],[5219,500,theory(equality)]) ).
cnf(5257,negated_conjecture,
( $false
| ~ aElementOf0(esk26_0,slsdtgt0(xc)) ),
inference(rw,[status(thm)],[5240,5210,theory(equality)]) ).
cnf(5258,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[5257,296,theory(equality)]) ).
cnf(5259,negated_conjecture,
$false,
inference(cn,[status(thm)],[5258,theory(equality)]) ).
cnf(5260,negated_conjecture,
$false,
5259,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG106+2.p
% --creating new selector for []
% -running prover on /tmp/tmphirOuQ/sel_RNG106+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG106+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG106+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG106+2.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
%
%------------------------------------------------------------------------------