TSTP Solution File: RNG081+2 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG081+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 02:11:21 EST 2010
% Result : Theorem 0.24s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 60 ( 17 unt; 0 def)
% Number of atoms : 477 ( 230 equ)
% Maximal formula atoms : 75 ( 7 avg)
% Number of connectives : 511 ( 94 ~; 121 |; 282 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 53 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 18 con; 0-2 aty)
% Number of variables : 96 ( 0 sgn 33 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
aScalar0(sz0z00),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',mSZeroSc) ).
fof(5,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',m__1678_01) ).
fof(6,axiom,
! [X1] :
( aScalar0(X1)
=> ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',mScZero) ).
fof(20,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) = sz00 )
=> sdtasasdt0(X1,X2) = sz0z00 ) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',mDefSPZ) ).
fof(29,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( aDimensionOf0(X1) = aDimensionOf0(X2)
=> aScalar0(sdtasasdt0(X1,X2)) ) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',mScPr) ).
fof(34,conjecture,
( ( aDimensionOf0(xs) != sz00
=> ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
& X1 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& X2 = sziznziztdt0(xt)
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X2,X2)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasasdt0(X1,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X4,X4)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X3,X4)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X5,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X10)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X8,X6)
& ? [X14] :
( aScalar0(X14)
& X14 = sdtasdt0(X11,X13)
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
& sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',m__) ).
fof(36,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',m__1678) ).
fof(37,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/tmp/tmpQUhHJS/sel_RNG081+2.p_1',mSqPos) ).
fof(42,negated_conjecture,
~ ( ( aDimensionOf0(xs) != sz00
=> ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
& ! [X2] :
( aNaturalNumber0(X2)
=> sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
& X1 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
& ! [X3] :
( aNaturalNumber0(X3)
=> sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& X2 = sziznziztdt0(xt)
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X2,X2)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasasdt0(X1,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X4,X4)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X3,X4)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X5,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X10)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X8,X6)
& ? [X14] :
( aScalar0(X14)
& X14 = sdtasdt0(X11,X13)
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
& sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
=> sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(assume_negation,[status(cth)],[34]) ).
cnf(52,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[4]) ).
cnf(53,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[5]) ).
fof(54,plain,
! [X1] :
( ~ aScalar0(X1)
| ( sdtpldt0(X1,sz0z00) = X1
& sdtpldt0(sz0z00,X1) = X1
& sdtasdt0(X1,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X1) = sz0z00
& sdtpldt0(X1,smndt0(X1)) = sz0z00
& sdtpldt0(smndt0(X1),X1) = sz0z00
& smndt0(smndt0(X1)) = X1
& smndt0(sz0z00) = sz0z00 ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(55,plain,
! [X2] :
( ~ aScalar0(X2)
| ( sdtpldt0(X2,sz0z00) = X2
& sdtpldt0(sz0z00,X2) = X2
& sdtasdt0(X2,sz0z00) = sz0z00
& sdtasdt0(sz0z00,X2) = sz0z00
& sdtpldt0(X2,smndt0(X2)) = sz0z00
& sdtpldt0(smndt0(X2),X2) = sz0z00
& smndt0(smndt0(X2)) = X2
& smndt0(sz0z00) = sz0z00 ) ),
inference(variable_rename,[status(thm)],[54]) ).
fof(56,plain,
! [X2] :
( ( sdtpldt0(X2,sz0z00) = X2
| ~ aScalar0(X2) )
& ( sdtpldt0(sz0z00,X2) = X2
| ~ aScalar0(X2) )
& ( sdtasdt0(X2,sz0z00) = sz0z00
| ~ aScalar0(X2) )
& ( sdtasdt0(sz0z00,X2) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(X2,smndt0(X2)) = sz0z00
| ~ aScalar0(X2) )
& ( sdtpldt0(smndt0(X2),X2) = sz0z00
| ~ aScalar0(X2) )
& ( smndt0(smndt0(X2)) = X2
| ~ aScalar0(X2) )
& ( smndt0(sz0z00) = sz0z00
| ~ aScalar0(X2) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(61,plain,
( sdtasdt0(sz0z00,X1) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(62,plain,
( sdtasdt0(X1,sz0z00) = sz0z00
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[56]) ).
fof(108,plain,
! [X1,X2] :
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) != sz00
| sdtasasdt0(X1,X2) = sz0z00 ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(109,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) != sz00
| sdtasasdt0(X3,X4) = sz0z00 ),
inference(variable_rename,[status(thm)],[108]) ).
cnf(110,plain,
( sdtasasdt0(X1,X2) = sz0z00
| aDimensionOf0(X2) != sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[109]) ).
fof(147,plain,
! [X1,X2] :
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aScalar0(sdtasasdt0(X1,X2)) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(148,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aScalar0(sdtasasdt0(X3,X4)) ),
inference(variable_rename,[status(thm)],[147]) ).
cnf(149,plain,
( aScalar0(sdtasasdt0(X1,X2))
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(164,negated_conjecture,
( ( aDimensionOf0(xs) = sz00
| ? [X1] :
( aVector0(X1)
& szszuzczcdt0(aDimensionOf0(X1)) = aDimensionOf0(xs)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(X1,X2) = sdtlbdtrb0(xs,X2) )
& X1 = sziznziztdt0(xs)
& ? [X2] :
( aVector0(X2)
& szszuzczcdt0(aDimensionOf0(X2)) = aDimensionOf0(xt)
& ! [X3] :
( ~ aNaturalNumber0(X3)
| sdtlbdtrb0(X2,X3) = sdtlbdtrb0(xt,X3) )
& X2 = sziznziztdt0(xt)
& ? [X3] :
( aScalar0(X3)
& X3 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X4] :
( aScalar0(X4)
& X4 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X5] :
( aScalar0(X5)
& X5 = sdtasasdt0(X1,X1)
& ? [X6] :
( aScalar0(X6)
& X6 = sdtasasdt0(X2,X2)
& ? [X7] :
( aScalar0(X7)
& X7 = sdtasasdt0(X1,X2)
& ? [X8] :
( aScalar0(X8)
& X8 = sdtasdt0(X3,X3)
& ? [X9] :
( aScalar0(X9)
& X9 = sdtasdt0(X4,X4)
& ? [X10] :
( aScalar0(X10)
& X10 = sdtasdt0(X3,X4)
& ? [X11] :
( aScalar0(X11)
& X11 = sdtasdt0(X5,X9)
& ? [X12] :
( aScalar0(X12)
& X12 = sdtasdt0(X7,X10)
& ? [X13] :
( aScalar0(X13)
& X13 = sdtasdt0(X8,X6)
& ? [X14] :
( aScalar0(X14)
& X14 = sdtasdt0(X11,X13)
& sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6))
& sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(fof_nnf,[status(thm)],[42]) ).
fof(165,negated_conjecture,
( ( aDimensionOf0(xs) = sz00
| ? [X15] :
( aVector0(X15)
& szszuzczcdt0(aDimensionOf0(X15)) = aDimensionOf0(xs)
& ! [X16] :
( ~ aNaturalNumber0(X16)
| sdtlbdtrb0(X15,X16) = sdtlbdtrb0(xs,X16) )
& X15 = sziznziztdt0(xs)
& ? [X17] :
( aVector0(X17)
& szszuzczcdt0(aDimensionOf0(X17)) = aDimensionOf0(xt)
& ! [X18] :
( ~ aNaturalNumber0(X18)
| sdtlbdtrb0(X17,X18) = sdtlbdtrb0(xt,X18) )
& X17 = sziznziztdt0(xt)
& ? [X19] :
( aScalar0(X19)
& X19 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& ? [X20] :
( aScalar0(X20)
& X20 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& ? [X21] :
( aScalar0(X21)
& X21 = sdtasasdt0(X15,X15)
& ? [X22] :
( aScalar0(X22)
& X22 = sdtasasdt0(X17,X17)
& ? [X23] :
( aScalar0(X23)
& X23 = sdtasasdt0(X15,X17)
& ? [X24] :
( aScalar0(X24)
& X24 = sdtasdt0(X19,X19)
& ? [X25] :
( aScalar0(X25)
& X25 = sdtasdt0(X20,X20)
& ? [X26] :
( aScalar0(X26)
& X26 = sdtasdt0(X19,X20)
& ? [X27] :
( aScalar0(X27)
& X27 = sdtasdt0(X21,X25)
& ? [X28] :
( aScalar0(X28)
& X28 = sdtasdt0(X23,X26)
& ? [X29] :
( aScalar0(X29)
& X29 = sdtasdt0(X24,X22)
& ? [X30] :
( aScalar0(X30)
& X30 = sdtasdt0(X27,X29)
& sdtlseqdt0(sdtasdt0(X23,X23),sdtasdt0(X21,X22))
& sdtlseqdt0(sdtpldt0(X28,X28),sdtpldt0(X27,X29))
& sdtlseqdt0(sdtasdt0(sdtpldt0(X23,X26),sdtpldt0(X23,X26)),sdtasdt0(sdtpldt0(X21,X24),sdtpldt0(X22,X25)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(variable_rename,[status(thm)],[164]) ).
fof(166,negated_conjecture,
( ( aDimensionOf0(xs) = sz00
| ( aVector0(esk3_0)
& szszuzczcdt0(aDimensionOf0(esk3_0)) = aDimensionOf0(xs)
& ! [X16] :
( ~ aNaturalNumber0(X16)
| sdtlbdtrb0(esk3_0,X16) = sdtlbdtrb0(xs,X16) )
& esk3_0 = sziznziztdt0(xs)
& aVector0(esk4_0)
& szszuzczcdt0(aDimensionOf0(esk4_0)) = aDimensionOf0(xt)
& ! [X18] :
( ~ aNaturalNumber0(X18)
| sdtlbdtrb0(esk4_0,X18) = sdtlbdtrb0(xt,X18) )
& esk4_0 = sziznziztdt0(xt)
& aScalar0(esk5_0)
& esk5_0 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(esk6_0)
& esk6_0 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(esk7_0)
& esk7_0 = sdtasasdt0(esk3_0,esk3_0)
& aScalar0(esk8_0)
& esk8_0 = sdtasasdt0(esk4_0,esk4_0)
& aScalar0(esk9_0)
& esk9_0 = sdtasasdt0(esk3_0,esk4_0)
& aScalar0(esk10_0)
& esk10_0 = sdtasdt0(esk5_0,esk5_0)
& aScalar0(esk11_0)
& esk11_0 = sdtasdt0(esk6_0,esk6_0)
& aScalar0(esk12_0)
& esk12_0 = sdtasdt0(esk5_0,esk6_0)
& aScalar0(esk13_0)
& esk13_0 = sdtasdt0(esk7_0,esk11_0)
& aScalar0(esk14_0)
& esk14_0 = sdtasdt0(esk9_0,esk12_0)
& aScalar0(esk15_0)
& esk15_0 = sdtasdt0(esk10_0,esk8_0)
& aScalar0(esk16_0)
& esk16_0 = sdtasdt0(esk13_0,esk15_0)
& sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0))
& sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0))
& sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ) )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(skolemize,[status(esa)],[165]) ).
fof(167,negated_conjecture,
! [X16,X18] :
( ( ( ( ~ aNaturalNumber0(X18)
| sdtlbdtrb0(esk4_0,X18) = sdtlbdtrb0(xt,X18) )
& aVector0(esk4_0)
& szszuzczcdt0(aDimensionOf0(esk4_0)) = aDimensionOf0(xt)
& esk4_0 = sziznziztdt0(xt)
& aScalar0(esk5_0)
& esk5_0 = sdtlbdtrb0(xs,aDimensionOf0(xs))
& aScalar0(esk6_0)
& esk6_0 = sdtlbdtrb0(xt,aDimensionOf0(xt))
& aScalar0(esk7_0)
& esk7_0 = sdtasasdt0(esk3_0,esk3_0)
& aScalar0(esk8_0)
& esk8_0 = sdtasasdt0(esk4_0,esk4_0)
& aScalar0(esk9_0)
& esk9_0 = sdtasasdt0(esk3_0,esk4_0)
& aScalar0(esk10_0)
& esk10_0 = sdtasdt0(esk5_0,esk5_0)
& aScalar0(esk11_0)
& esk11_0 = sdtasdt0(esk6_0,esk6_0)
& aScalar0(esk12_0)
& esk12_0 = sdtasdt0(esk5_0,esk6_0)
& aScalar0(esk13_0)
& esk13_0 = sdtasdt0(esk7_0,esk11_0)
& aScalar0(esk14_0)
& esk14_0 = sdtasdt0(esk9_0,esk12_0)
& aScalar0(esk15_0)
& esk15_0 = sdtasdt0(esk10_0,esk8_0)
& aScalar0(esk16_0)
& esk16_0 = sdtasdt0(esk13_0,esk15_0)
& sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0))
& sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0))
& sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0)))
& sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
& ( ~ aNaturalNumber0(X16)
| sdtlbdtrb0(esk3_0,X16) = sdtlbdtrb0(xs,X16) )
& aVector0(esk3_0)
& szszuzczcdt0(aDimensionOf0(esk3_0)) = aDimensionOf0(xs)
& esk3_0 = sziznziztdt0(xs) )
| aDimensionOf0(xs) = sz00 )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(shift_quantors,[status(thm)],[166]) ).
fof(168,negated_conjecture,
! [X16,X18] :
( ( ~ aNaturalNumber0(X18)
| sdtlbdtrb0(esk4_0,X18) = sdtlbdtrb0(xt,X18)
| aDimensionOf0(xs) = sz00 )
& ( aVector0(esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( szszuzczcdt0(aDimensionOf0(esk4_0)) = aDimensionOf0(xt)
| aDimensionOf0(xs) = sz00 )
& ( esk4_0 = sziznziztdt0(xt)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk5_0)
| aDimensionOf0(xs) = sz00 )
& ( esk5_0 = sdtlbdtrb0(xs,aDimensionOf0(xs))
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk6_0)
| aDimensionOf0(xs) = sz00 )
& ( esk6_0 = sdtlbdtrb0(xt,aDimensionOf0(xt))
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk7_0)
| aDimensionOf0(xs) = sz00 )
& ( esk7_0 = sdtasasdt0(esk3_0,esk3_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk8_0)
| aDimensionOf0(xs) = sz00 )
& ( esk8_0 = sdtasasdt0(esk4_0,esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk9_0)
| aDimensionOf0(xs) = sz00 )
& ( esk9_0 = sdtasasdt0(esk3_0,esk4_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk10_0)
| aDimensionOf0(xs) = sz00 )
& ( esk10_0 = sdtasdt0(esk5_0,esk5_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk11_0)
| aDimensionOf0(xs) = sz00 )
& ( esk11_0 = sdtasdt0(esk6_0,esk6_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk12_0)
| aDimensionOf0(xs) = sz00 )
& ( esk12_0 = sdtasdt0(esk5_0,esk6_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk13_0)
| aDimensionOf0(xs) = sz00 )
& ( esk13_0 = sdtasdt0(esk7_0,esk11_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk14_0)
| aDimensionOf0(xs) = sz00 )
& ( esk14_0 = sdtasdt0(esk9_0,esk12_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk15_0)
| aDimensionOf0(xs) = sz00 )
& ( esk15_0 = sdtasdt0(esk10_0,esk8_0)
| aDimensionOf0(xs) = sz00 )
& ( aScalar0(esk16_0)
| aDimensionOf0(xs) = sz00 )
& ( esk16_0 = sdtasdt0(esk13_0,esk15_0)
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0)))
| aDimensionOf0(xs) = sz00 )
& ( sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) = sz00 )
& ( ~ aNaturalNumber0(X16)
| sdtlbdtrb0(esk3_0,X16) = sdtlbdtrb0(xs,X16)
| aDimensionOf0(xs) = sz00 )
& ( aVector0(esk3_0)
| aDimensionOf0(xs) = sz00 )
& ( szszuzczcdt0(aDimensionOf0(esk3_0)) = aDimensionOf0(xs)
| aDimensionOf0(xs) = sz00 )
& ( esk3_0 = sziznziztdt0(xs)
| aDimensionOf0(xs) = sz00 )
& ~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(distribute,[status(thm)],[167]) ).
cnf(169,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(174,negated_conjecture,
( aDimensionOf0(xs) = sz00
| sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))) ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(211,plain,
aVector0(xt),
inference(split_conjunct,[status(thm)],[36]) ).
cnf(212,plain,
aVector0(xs),
inference(split_conjunct,[status(thm)],[36]) ).
fof(213,plain,
! [X1] :
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(fof_nnf,[status(thm)],[37]) ).
fof(214,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[213]) ).
cnf(215,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[214]) ).
cnf(317,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sz0z00) ),
inference(spm,[status(thm)],[215,62,theory(equality)]) ).
cnf(321,plain,
( sdtlseqdt0(sz0z00,sz0z00)
| $false ),
inference(rw,[status(thm)],[317,52,theory(equality)]) ).
cnf(322,plain,
sdtlseqdt0(sz0z00,sz0z00),
inference(cn,[status(thm)],[321,theory(equality)]) ).
cnf(571,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) != aDimensionOf0(xt)
| aDimensionOf0(xt) != sz00
| ~ aVector0(xt)
| ~ aVector0(xs) ),
inference(spm,[status(thm)],[169,110,theory(equality)]) ).
cnf(574,negated_conjecture,
aDimensionOf0(xs) = sz00,
inference(sr,[status(thm)],[174,169,theory(equality)]) ).
cnf(575,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false
| aDimensionOf0(xt) != sz00
| ~ aVector0(xt)
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[571,53,theory(equality)]) ).
cnf(576,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false
| aDimensionOf0(xs) != sz00
| ~ aVector0(xt)
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[575,53,theory(equality)]) ).
cnf(577,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false
| aDimensionOf0(xs) != sz00
| $false
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[576,211,theory(equality)]) ).
cnf(578,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false
| aDimensionOf0(xs) != sz00
| $false
| $false ),
inference(rw,[status(thm)],[577,212,theory(equality)]) ).
cnf(579,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) != sz00 ),
inference(cn,[status(thm)],[578,theory(equality)]) ).
cnf(967,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false ),
inference(rw,[status(thm)],[579,574,theory(equality)]) ).
cnf(968,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cn,[status(thm)],[967,theory(equality)]) ).
cnf(969,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| ~ aScalar0(sz0z00) ),
inference(spm,[status(thm)],[968,62,theory(equality)]) ).
cnf(974,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))
| $false ),
inference(rw,[status(thm)],[969,52,theory(equality)]) ).
cnf(975,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(cn,[status(thm)],[974,theory(equality)]) ).
cnf(1027,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))
| aDimensionOf0(xs) != sz00
| ~ aVector0(xs) ),
inference(spm,[status(thm)],[975,110,theory(equality)]) ).
cnf(1030,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))
| $false
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[1027,574,theory(equality)]) ).
cnf(1031,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))
| $false
| $false ),
inference(rw,[status(thm)],[1030,212,theory(equality)]) ).
cnf(1032,negated_conjecture,
~ sdtlseqdt0(sz0z00,sdtasdt0(sz0z00,sdtasasdt0(xt,xt))),
inference(cn,[status(thm)],[1031,theory(equality)]) ).
cnf(1036,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sz0z00)
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(spm,[status(thm)],[1032,61,theory(equality)]) ).
cnf(1039,negated_conjecture,
( $false
| ~ aScalar0(sdtasasdt0(xt,xt)) ),
inference(rw,[status(thm)],[1036,322,theory(equality)]) ).
cnf(1040,negated_conjecture,
~ aScalar0(sdtasasdt0(xt,xt)),
inference(cn,[status(thm)],[1039,theory(equality)]) ).
cnf(1047,negated_conjecture,
~ aVector0(xt),
inference(spm,[status(thm)],[1040,149,theory(equality)]) ).
cnf(1049,negated_conjecture,
$false,
inference(rw,[status(thm)],[1047,211,theory(equality)]) ).
cnf(1050,negated_conjecture,
$false,
inference(cn,[status(thm)],[1049,theory(equality)]) ).
cnf(1051,negated_conjecture,
$false,
1050,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG081+2.p
% --creating new selector for []
% -running prover on /tmp/tmpQUhHJS/sel_RNG081+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG081+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG081+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG081+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
%
%------------------------------------------------------------------------------