TSTP Solution File: RNG071+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG071+2 : 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 02:04:39 EST 2010
% Result : Theorem 0.34s
% Output : CNFRefutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 130 ( 33 unt; 0 def)
% Number of atoms : 396 ( 39 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 458 ( 192 ~; 206 |; 49 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 16 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
aScalar0(sz0z00),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mSZeroSc) ).
fof(12,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(sz0z00,X1)
& sdtlseqdt0(sz0z00,X2) )
=> ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mPosMon) ).
fof(20,axiom,
! [X1,X2,X3] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X3) )
=> sdtlseqdt0(X1,X3) ) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLETrn) ).
fof(21,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLETot) ).
fof(24,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1911) ).
fof(25,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1837) ).
fof(29,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1766) ).
fof(34,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mScSqPos) ).
fof(37,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1892) ).
fof(38,axiom,
! [X1,X2,X3,X4] :
( ( aScalar0(X1)
& aScalar0(X2)
& aScalar0(X3)
& aScalar0(X4) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X3,X4) )
=> sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mLEMon) ).
fof(39,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1930) ).
fof(41,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1854) ).
fof(46,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__) ).
fof(48,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1783) ).
fof(50,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1800) ).
fof(52,axiom,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1726) ).
fof(53,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',mSqPos) ).
fof(54,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__2590) ).
fof(55,axiom,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( aNaturalNumber0(X1)
=> sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1709) ).
fof(56,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/tmp/tmp_DGzXY/sel_RNG071+2.p_1',m__1746) ).
fof(63,negated_conjecture,
~ ( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(assume_negation,[status(cth)],[46]) ).
fof(64,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(fof_simplification,[status(thm)],[54,theory(equality)]) ).
cnf(74,plain,
aScalar0(sz0z00),
inference(split_conjunct,[status(thm)],[4]) ).
fof(99,plain,
! [X1,X2] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2)
| ( sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))
& sdtlseqdt0(sz0z00,sdtasdt0(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(100,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
& sdtlseqdt0(sz0z00,sdtasdt0(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[99]) ).
fof(101,plain,
! [X3,X4] :
( ( sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) )
& ( sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))
| ~ sdtlseqdt0(sz0z00,X3)
| ~ sdtlseqdt0(sz0z00,X4)
| ~ aScalar0(X3)
| ~ aScalar0(X4) ) ),
inference(distribute,[status(thm)],[100]) ).
cnf(102,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[101]) ).
cnf(103,plain,
( sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))
| ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(sz0z00,X1)
| ~ sdtlseqdt0(sz0z00,X2) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(124,plain,
! [X1,X2,X3] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X3)
| sdtlseqdt0(X1,X3) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(125,plain,
! [X4,X5,X6] :
( ~ aScalar0(X4)
| ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ sdtlseqdt0(X4,X5)
| ~ sdtlseqdt0(X5,X6)
| sdtlseqdt0(X4,X6) ),
inference(variable_rename,[status(thm)],[124]) ).
cnf(126,plain,
( sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X2)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(127,plain,
! [X1,X2] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ),
inference(fof_nnf,[status(thm)],[21]) ).
fof(128,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| sdtlseqdt0(X3,X4)
| sdtlseqdt0(X4,X3) ),
inference(variable_rename,[status(thm)],[127]) ).
cnf(129,plain,
( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(split_conjunct,[status(thm)],[128]) ).
cnf(137,plain,
aScalar0(xP),
inference(split_conjunct,[status(thm)],[24]) ).
cnf(138,plain,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(139,plain,
aScalar0(xF),
inference(split_conjunct,[status(thm)],[25]) ).
cnf(150,plain,
aScalar0(xB),
inference(split_conjunct,[status(thm)],[29]) ).
fof(170,plain,
! [X1] :
( ~ aVector0(X1)
| sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
inference(fof_nnf,[status(thm)],[34]) ).
fof(171,plain,
! [X2] :
( ~ aVector0(X2)
| sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[170]) ).
cnf(172,plain,
( sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(180,plain,
xR = sdtasdt0(xC,xG),
inference(split_conjunct,[status(thm)],[37]) ).
cnf(181,plain,
aScalar0(xR),
inference(split_conjunct,[status(thm)],[37]) ).
fof(182,plain,
! [X1,X2,X3,X4] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X3,X4)
| sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)) ),
inference(fof_nnf,[status(thm)],[38]) ).
fof(183,plain,
! [X5,X6,X7,X8] :
( ~ aScalar0(X5)
| ~ aScalar0(X6)
| ~ aScalar0(X7)
| ~ aScalar0(X8)
| ~ sdtlseqdt0(X5,X6)
| ~ sdtlseqdt0(X7,X8)
| sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)) ),
inference(variable_rename,[status(thm)],[182]) ).
cnf(184,plain,
( sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))
| ~ sdtlseqdt0(X2,X4)
| ~ sdtlseqdt0(X1,X3)
| ~ aScalar0(X4)
| ~ aScalar0(X2)
| ~ aScalar0(X3)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[183]) ).
cnf(185,plain,
xS = sdtasdt0(xF,xD),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(186,plain,
aScalar0(xS),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(190,plain,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[41]) ).
cnf(191,plain,
aScalar0(xG),
inference(split_conjunct,[status(thm)],[41]) ).
fof(206,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
inference(fof_nnf,[status(thm)],[63]) ).
cnf(207,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
inference(split_conjunct,[status(thm)],[206]) ).
cnf(213,plain,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(214,plain,
aScalar0(xC),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(216,plain,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(217,plain,
aScalar0(xD),
inference(split_conjunct,[status(thm)],[50]) ).
fof(220,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xq,X1) = sdtlbdtrb0(xt,X1) )
& xq = sziznziztdt0(xt) ),
inference(fof_nnf,[status(thm)],[52]) ).
fof(221,plain,
( aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
& xq = sziznziztdt0(xt) ),
inference(variable_rename,[status(thm)],[220]) ).
fof(222,plain,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xq,X2) = sdtlbdtrb0(xt,X2) )
& aVector0(xq)
& szszuzczcdt0(aDimensionOf0(xq)) = aDimensionOf0(xt)
& xq = sziznziztdt0(xt) ),
inference(shift_quantors,[status(thm)],[221]) ).
cnf(225,plain,
aVector0(xq),
inference(split_conjunct,[status(thm)],[222]) ).
fof(227,plain,
! [X1] :
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(228,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[227]) ).
cnf(229,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[228]) ).
cnf(230,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[64]) ).
fof(231,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X1] :
( ~ aNaturalNumber0(X1)
| sdtlbdtrb0(xp,X1) = sdtlbdtrb0(xs,X1) )
& xp = sziznziztdt0(xs) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(232,plain,
( aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& ! [X2] :
( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
& xp = sziznziztdt0(xs) ),
inference(variable_rename,[status(thm)],[231]) ).
fof(233,plain,
! [X2] :
( ( ~ aNaturalNumber0(X2)
| sdtlbdtrb0(xp,X2) = sdtlbdtrb0(xs,X2) )
& aVector0(xp)
& szszuzczcdt0(aDimensionOf0(xp)) = aDimensionOf0(xs)
& xp = sziznziztdt0(xs) ),
inference(shift_quantors,[status(thm)],[232]) ).
cnf(236,plain,
aVector0(xp),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(239,plain,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(278,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(spm,[status(thm)],[229,138,theory(equality)]) ).
cnf(279,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(spm,[status(thm)],[229,190,theory(equality)]) ).
cnf(282,plain,
( sdtlseqdt0(sz0z00,xF)
| $false ),
inference(rw,[status(thm)],[278,239,theory(equality)]) ).
cnf(283,plain,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[282,theory(equality)]) ).
cnf(284,plain,
( sdtlseqdt0(sz0z00,xG)
| $false ),
inference(rw,[status(thm)],[279,150,theory(equality)]) ).
cnf(285,plain,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[284,theory(equality)]) ).
cnf(290,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(spm,[status(thm)],[172,213,theory(equality)]) ).
cnf(291,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(spm,[status(thm)],[172,216,theory(equality)]) ).
cnf(292,plain,
( sdtlseqdt0(sz0z00,xC)
| $false ),
inference(rw,[status(thm)],[290,236,theory(equality)]) ).
cnf(293,plain,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[292,theory(equality)]) ).
cnf(294,plain,
( sdtlseqdt0(sz0z00,xD)
| $false ),
inference(rw,[status(thm)],[291,225,theory(equality)]) ).
cnf(295,plain,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[294,theory(equality)]) ).
cnf(307,plain,
( sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[129,74,theory(equality)]) ).
cnf(410,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(spm,[status(thm)],[207,103,theory(equality)]) ).
cnf(417,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| $false
| ~ aScalar0(xS) ),
inference(rw,[status(thm)],[410,181,theory(equality)]) ).
cnf(418,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| $false
| $false ),
inference(rw,[status(thm)],[417,186,theory(equality)]) ).
cnf(419,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(cn,[status(thm)],[418,theory(equality)]) ).
cnf(425,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(spm,[status(thm)],[102,185,theory(equality)]) ).
cnf(426,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(spm,[status(thm)],[102,180,theory(equality)]) ).
cnf(439,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| $false
| ~ aScalar0(xD) ),
inference(rw,[status(thm)],[425,139,theory(equality)]) ).
cnf(440,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| $false
| $false ),
inference(rw,[status(thm)],[439,217,theory(equality)]) ).
cnf(441,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(cn,[status(thm)],[440,theory(equality)]) ).
cnf(442,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| $false
| ~ aScalar0(xG) ),
inference(rw,[status(thm)],[426,214,theory(equality)]) ).
cnf(443,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| $false
| $false ),
inference(rw,[status(thm)],[442,191,theory(equality)]) ).
cnf(444,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG) ),
inference(cn,[status(thm)],[443,theory(equality)]) ).
cnf(730,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[230,184,theory(equality)]) ).
cnf(743,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(rw,[status(thm)],[730,186,theory(equality)]) ).
cnf(744,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| $false
| ~ aScalar0(xP) ),
inference(rw,[status(thm)],[743,181,theory(equality)]) ).
cnf(745,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[744,137,theory(equality)]) ).
cnf(746,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[745,theory(equality)]) ).
cnf(1264,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[419,103,theory(equality)]) ).
cnf(1265,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP)
| $false ),
inference(rw,[status(thm)],[1264,137,theory(equality)]) ).
cnf(1266,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[1265,theory(equality)]) ).
cnf(1482,plain,
( sdtlseqdt0(sz0z00,xS)
| $false
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(rw,[status(thm)],[441,283,theory(equality)]) ).
cnf(1483,plain,
( sdtlseqdt0(sz0z00,xS)
| $false
| $false ),
inference(rw,[status(thm)],[1482,295,theory(equality)]) ).
cnf(1484,plain,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[1483,theory(equality)]) ).
cnf(1486,plain,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xS)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[126,1484,theory(equality)]) ).
cnf(1490,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| $false
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(rw,[status(thm)],[1266,1484,theory(equality)]) ).
cnf(1491,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[1490,theory(equality)]) ).
cnf(1497,plain,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| $false
| ~ aScalar0(xS)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1486,74,theory(equality)]) ).
cnf(1498,plain,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| $false
| $false
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1497,186,theory(equality)]) ).
cnf(1499,plain,
( sdtlseqdt0(X1,xS)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[1498,theory(equality)]) ).
cnf(1516,plain,
( sdtlseqdt0(sz0z00,xR)
| $false
| ~ sdtlseqdt0(sz0z00,xG) ),
inference(rw,[status(thm)],[444,293,theory(equality)]) ).
cnf(1517,plain,
( sdtlseqdt0(sz0z00,xR)
| $false
| $false ),
inference(rw,[status(thm)],[1516,285,theory(equality)]) ).
cnf(1518,plain,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[1517,theory(equality)]) ).
cnf(1520,plain,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(sz0z00)
| ~ aScalar0(xR)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[126,1518,theory(equality)]) ).
cnf(1526,negated_conjecture,
( $false
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(rw,[status(thm)],[1491,1518,theory(equality)]) ).
cnf(1527,negated_conjecture,
~ sdtlseqdt0(sz0z00,xP),
inference(cn,[status(thm)],[1526,theory(equality)]) ).
cnf(1533,plain,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sz0z00)
| $false
| ~ aScalar0(xR)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1520,74,theory(equality)]) ).
cnf(1534,plain,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sz0z00)
| $false
| $false
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1533,181,theory(equality)]) ).
cnf(1535,plain,
( sdtlseqdt0(X1,xR)
| ~ sdtlseqdt0(X1,sz0z00)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[1534,theory(equality)]) ).
cnf(1781,plain,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[746,1499,theory(equality)]) ).
cnf(1790,plain,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,sz0z00)
| $false ),
inference(rw,[status(thm)],[1781,137,theory(equality)]) ).
cnf(1791,plain,
( ~ sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(xP,sz0z00) ),
inference(cn,[status(thm)],[1790,theory(equality)]) ).
cnf(1813,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[1791,1535,theory(equality)]) ).
cnf(1822,plain,
( ~ sdtlseqdt0(xP,sz0z00)
| $false ),
inference(rw,[status(thm)],[1813,137,theory(equality)]) ).
cnf(1823,plain,
~ sdtlseqdt0(xP,sz0z00),
inference(cn,[status(thm)],[1822,theory(equality)]) ).
cnf(1901,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xP,sz0z00) ),
inference(spm,[status(thm)],[307,137,theory(equality)]) ).
cnf(1922,plain,
sdtlseqdt0(xP,sz0z00),
inference(sr,[status(thm)],[1901,1527,theory(equality)]) ).
cnf(1923,plain,
$false,
inference(sr,[status(thm)],[1922,1823,theory(equality)]) ).
cnf(1924,plain,
$false,
1923,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG071+2.p
% --creating new selector for []
% -running prover on /tmp/tmp_DGzXY/sel_RNG071+2.p_1 with time limit 29
% -prover status Theorem
% Problem RNG071+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG071+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG071+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
%
%------------------------------------------------------------------------------