TSTP Solution File: RNG071+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG071+1 : 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 02:04:22 EST 2010
% Result : Theorem 0.36s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 21
% Syntax : Number of formulae : 149 ( 36 unt; 0 def)
% Number of atoms : 439 ( 40 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 489 ( 199 ~; 250 |; 29 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 16 con; 0-2 aty)
% Number of variables : 71 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,axiom,
aScalar0(sz0z00),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',mSZeroSc) ).
fof(11,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X2,X1) )
=> X1 = X2 ) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',mLEASm) ).
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/tmprnWp3c/sel_RNG071+1.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/tmprnWp3c/sel_RNG071+1.p_1',mLETrn) ).
fof(21,axiom,
! [X1,X2] :
( ( aScalar0(X1)
& aScalar0(X2) )
=> ( sdtlseqdt0(X1,X2)
| sdtlseqdt0(X2,X1) ) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',mLETot) ).
fof(24,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1911) ).
fof(25,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1837) ).
fof(29,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1766) ).
fof(34,axiom,
! [X1] :
( aVector0(X1)
=> sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',mScSqPos) ).
fof(37,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.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/tmprnWp3c/sel_RNG071+1.p_1',mLEMon) ).
fof(39,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1930) ).
fof(41,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1854) ).
fof(46,conjecture,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__) ).
fof(48,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1783) ).
fof(50,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1800) ).
fof(52,axiom,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1726) ).
fof(53,axiom,
! [X1] :
( aScalar0(X1)
=> sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',mSqPos) ).
fof(54,axiom,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__2590) ).
fof(55,axiom,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.p_1',m__1709) ).
fof(56,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/tmp/tmprnWp3c/sel_RNG071+1.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(96,plain,
! [X1,X2] :
( ~ aScalar0(X1)
| ~ aScalar0(X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X2,X1)
| X1 = X2 ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(97,plain,
! [X3,X4] :
( ~ aScalar0(X3)
| ~ aScalar0(X4)
| ~ sdtlseqdt0(X3,X4)
| ~ sdtlseqdt0(X4,X3)
| X3 = X4 ),
inference(variable_rename,[status(thm)],[96]) ).
cnf(98,plain,
( X1 = X2
| ~ sdtlseqdt0(X2,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aScalar0(X2)
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[97]) ).
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]) ).
cnf(221,plain,
aVector0(xq),
inference(split_conjunct,[status(thm)],[52]) ).
fof(222,plain,
! [X1] :
( ~ aScalar0(X1)
| sdtlseqdt0(sz0z00,sdtasdt0(X1,X1)) ),
inference(fof_nnf,[status(thm)],[53]) ).
fof(223,plain,
! [X2] :
( ~ aScalar0(X2)
| sdtlseqdt0(sz0z00,sdtasdt0(X2,X2)) ),
inference(variable_rename,[status(thm)],[222]) ).
cnf(224,plain,
( sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))
| ~ aScalar0(X1) ),
inference(split_conjunct,[status(thm)],[223]) ).
cnf(225,plain,
~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
inference(split_conjunct,[status(thm)],[64]) ).
cnf(227,plain,
aVector0(xp),
inference(split_conjunct,[status(thm)],[55]) ).
cnf(229,plain,
aScalar0(xA),
inference(split_conjunct,[status(thm)],[56]) ).
cnf(263,plain,
( sdtlseqdt0(sz0z00,xF)
| ~ aScalar0(xA) ),
inference(spm,[status(thm)],[224,138,theory(equality)]) ).
cnf(264,plain,
( sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xB) ),
inference(spm,[status(thm)],[224,190,theory(equality)]) ).
cnf(267,plain,
( sdtlseqdt0(sz0z00,xF)
| $false ),
inference(rw,[status(thm)],[263,229,theory(equality)]) ).
cnf(268,plain,
sdtlseqdt0(sz0z00,xF),
inference(cn,[status(thm)],[267,theory(equality)]) ).
cnf(269,plain,
( sdtlseqdt0(sz0z00,xG)
| $false ),
inference(rw,[status(thm)],[264,150,theory(equality)]) ).
cnf(270,plain,
sdtlseqdt0(sz0z00,xG),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(275,plain,
( sdtlseqdt0(sz0z00,xC)
| ~ aVector0(xp) ),
inference(spm,[status(thm)],[172,213,theory(equality)]) ).
cnf(276,plain,
( sdtlseqdt0(sz0z00,xD)
| ~ aVector0(xq) ),
inference(spm,[status(thm)],[172,216,theory(equality)]) ).
cnf(277,plain,
( sdtlseqdt0(sz0z00,xC)
| $false ),
inference(rw,[status(thm)],[275,227,theory(equality)]) ).
cnf(278,plain,
sdtlseqdt0(sz0z00,xC),
inference(cn,[status(thm)],[277,theory(equality)]) ).
cnf(279,plain,
( sdtlseqdt0(sz0z00,xD)
| $false ),
inference(rw,[status(thm)],[276,221,theory(equality)]) ).
cnf(280,plain,
sdtlseqdt0(sz0z00,xD),
inference(cn,[status(thm)],[279,theory(equality)]) ).
cnf(290,plain,
( sdtlseqdt0(X1,sz0z00)
| sdtlseqdt0(sz0z00,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[129,74,theory(equality)]) ).
cnf(291,plain,
( sdtlseqdt0(X1,xR)
| sdtlseqdt0(xR,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[129,181,theory(equality)]) ).
cnf(292,plain,
( sdtlseqdt0(X1,xS)
| sdtlseqdt0(xS,X1)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[129,186,theory(equality)]) ).
cnf(418,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(424,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| $false
| ~ aScalar0(xS) ),
inference(rw,[status(thm)],[418,181,theory(equality)]) ).
cnf(425,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| $false
| $false ),
inference(rw,[status(thm)],[424,186,theory(equality)]) ).
cnf(426,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
| ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS) ),
inference(cn,[status(thm)],[425,theory(equality)]) ).
cnf(432,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| ~ aScalar0(xF)
| ~ aScalar0(xD) ),
inference(spm,[status(thm)],[102,185,theory(equality)]) ).
cnf(433,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| ~ aScalar0(xC)
| ~ aScalar0(xG) ),
inference(spm,[status(thm)],[102,180,theory(equality)]) ).
cnf(446,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| $false
| ~ aScalar0(xD) ),
inference(rw,[status(thm)],[432,139,theory(equality)]) ).
cnf(447,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD)
| $false
| $false ),
inference(rw,[status(thm)],[446,217,theory(equality)]) ).
cnf(448,plain,
( sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xF)
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(cn,[status(thm)],[447,theory(equality)]) ).
cnf(449,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| $false
| ~ aScalar0(xG) ),
inference(rw,[status(thm)],[433,214,theory(equality)]) ).
cnf(450,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG)
| $false
| $false ),
inference(rw,[status(thm)],[449,191,theory(equality)]) ).
cnf(451,plain,
( sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xC)
| ~ sdtlseqdt0(sz0z00,xG) ),
inference(cn,[status(thm)],[450,theory(equality)]) ).
cnf(713,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| ~ aScalar0(xS)
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[225,184,theory(equality)]) ).
cnf(726,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| ~ aScalar0(xR)
| ~ aScalar0(xP) ),
inference(rw,[status(thm)],[713,186,theory(equality)]) ).
cnf(727,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| $false
| ~ aScalar0(xP) ),
inference(rw,[status(thm)],[726,181,theory(equality)]) ).
cnf(728,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[727,137,theory(equality)]) ).
cnf(729,plain,
( ~ sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[728,theory(equality)]) ).
cnf(1222,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP)
| ~ aScalar0(xP) ),
inference(spm,[status(thm)],[426,103,theory(equality)]) ).
cnf(1223,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP)
| $false ),
inference(rw,[status(thm)],[1222,137,theory(equality)]) ).
cnf(1224,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[1223,theory(equality)]) ).
cnf(1463,plain,
( sdtlseqdt0(sz0z00,xS)
| $false
| ~ sdtlseqdt0(sz0z00,xD) ),
inference(rw,[status(thm)],[448,268,theory(equality)]) ).
cnf(1464,plain,
( sdtlseqdt0(sz0z00,xS)
| $false
| $false ),
inference(rw,[status(thm)],[1463,280,theory(equality)]) ).
cnf(1465,plain,
sdtlseqdt0(sz0z00,xS),
inference(cn,[status(thm)],[1464,theory(equality)]) ).
cnf(1471,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| $false
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(rw,[status(thm)],[1224,1465,theory(equality)]) ).
cnf(1472,negated_conjecture,
( ~ sdtlseqdt0(sz0z00,xR)
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(cn,[status(thm)],[1471,theory(equality)]) ).
cnf(1638,plain,
( sdtlseqdt0(sz0z00,xR)
| $false
| ~ sdtlseqdt0(sz0z00,xG) ),
inference(rw,[status(thm)],[451,278,theory(equality)]) ).
cnf(1639,plain,
( sdtlseqdt0(sz0z00,xR)
| $false
| $false ),
inference(rw,[status(thm)],[1638,270,theory(equality)]) ).
cnf(1640,plain,
sdtlseqdt0(sz0z00,xR),
inference(cn,[status(thm)],[1639,theory(equality)]) ).
cnf(1649,negated_conjecture,
( $false
| ~ sdtlseqdt0(sz0z00,xP) ),
inference(rw,[status(thm)],[1472,1640,theory(equality)]) ).
cnf(1650,negated_conjecture,
~ sdtlseqdt0(sz0z00,xP),
inference(cn,[status(thm)],[1649,theory(equality)]) ).
cnf(1757,plain,
( sdtlseqdt0(sz0z00,xP)
| sdtlseqdt0(xP,sz0z00) ),
inference(spm,[status(thm)],[290,137,theory(equality)]) ).
cnf(1776,plain,
sdtlseqdt0(xP,sz0z00),
inference(sr,[status(thm)],[1757,1650,theory(equality)]) ).
cnf(1783,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(xP)
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1) ),
inference(spm,[status(thm)],[126,1776,theory(equality)]) ).
cnf(1787,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| $false
| ~ aScalar0(sz0z00)
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1783,137,theory(equality)]) ).
cnf(1788,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| $false
| $false
| ~ aScalar0(X1) ),
inference(rw,[status(thm)],[1787,74,theory(equality)]) ).
cnf(1789,plain,
( sdtlseqdt0(X1,sz0z00)
| ~ sdtlseqdt0(X1,xP)
| ~ aScalar0(X1) ),
inference(cn,[status(thm)],[1788,theory(equality)]) ).
cnf(1845,plain,
( sdtlseqdt0(xR,xP)
| sdtlseqdt0(xP,xR) ),
inference(spm,[status(thm)],[291,137,theory(equality)]) ).
cnf(1903,plain,
( sdtlseqdt0(xR,sz0z00)
| sdtlseqdt0(xP,xR)
| ~ aScalar0(xR) ),
inference(spm,[status(thm)],[1789,1845,theory(equality)]) ).
cnf(1910,plain,
( sdtlseqdt0(xR,sz0z00)
| sdtlseqdt0(xP,xR)
| $false ),
inference(rw,[status(thm)],[1903,181,theory(equality)]) ).
cnf(1911,plain,
( sdtlseqdt0(xR,sz0z00)
| sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[1910,theory(equality)]) ).
cnf(1923,plain,
( sdtlseqdt0(xS,xP)
| sdtlseqdt0(xP,xS) ),
inference(spm,[status(thm)],[292,137,theory(equality)]) ).
cnf(1941,plain,
( sz0z00 = xR
| sdtlseqdt0(xP,xR)
| ~ sdtlseqdt0(sz0z00,xR)
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(spm,[status(thm)],[98,1911,theory(equality)]) ).
cnf(1944,plain,
( sz0z00 = xR
| sdtlseqdt0(xP,xR)
| $false
| ~ aScalar0(xR)
| ~ aScalar0(sz0z00) ),
inference(rw,[status(thm)],[1941,1640,theory(equality)]) ).
cnf(1945,plain,
( sz0z00 = xR
| sdtlseqdt0(xP,xR)
| $false
| $false
| ~ aScalar0(sz0z00) ),
inference(rw,[status(thm)],[1944,181,theory(equality)]) ).
cnf(1946,plain,
( sz0z00 = xR
| sdtlseqdt0(xP,xR)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1945,74,theory(equality)]) ).
cnf(1947,plain,
( sz0z00 = xR
| sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[1946,theory(equality)]) ).
cnf(1965,plain,
( sdtlseqdt0(xS,sz0z00)
| sdtlseqdt0(xP,xS)
| ~ aScalar0(xS) ),
inference(spm,[status(thm)],[1789,1923,theory(equality)]) ).
cnf(1972,plain,
( sdtlseqdt0(xS,sz0z00)
| sdtlseqdt0(xP,xS)
| $false ),
inference(rw,[status(thm)],[1965,186,theory(equality)]) ).
cnf(1973,plain,
( sdtlseqdt0(xS,sz0z00)
| sdtlseqdt0(xP,xS) ),
inference(cn,[status(thm)],[1972,theory(equality)]) ).
cnf(2003,plain,
( sz0z00 = xS
| sdtlseqdt0(xP,xS)
| ~ sdtlseqdt0(sz0z00,xS)
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(spm,[status(thm)],[98,1973,theory(equality)]) ).
cnf(2006,plain,
( sz0z00 = xS
| sdtlseqdt0(xP,xS)
| $false
| ~ aScalar0(xS)
| ~ aScalar0(sz0z00) ),
inference(rw,[status(thm)],[2003,1465,theory(equality)]) ).
cnf(2007,plain,
( sz0z00 = xS
| sdtlseqdt0(xP,xS)
| $false
| $false
| ~ aScalar0(sz0z00) ),
inference(rw,[status(thm)],[2006,186,theory(equality)]) ).
cnf(2008,plain,
( sz0z00 = xS
| sdtlseqdt0(xP,xS)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2007,74,theory(equality)]) ).
cnf(2009,plain,
( sz0z00 = xS
| sdtlseqdt0(xP,xS) ),
inference(cn,[status(thm)],[2008,theory(equality)]) ).
cnf(2015,plain,
( xS = sz0z00
| ~ sdtlseqdt0(xP,xR) ),
inference(spm,[status(thm)],[729,2009,theory(equality)]) ).
cnf(2022,plain,
( xS = sz0z00
| xR = sz0z00 ),
inference(spm,[status(thm)],[2015,1947,theory(equality)]) ).
cnf(2040,plain,
( xR = sz0z00
| ~ sdtlseqdt0(xP,sz0z00)
| ~ sdtlseqdt0(xP,xR) ),
inference(spm,[status(thm)],[729,2022,theory(equality)]) ).
cnf(2048,plain,
( xR = sz0z00
| $false
| ~ sdtlseqdt0(xP,xR) ),
inference(rw,[status(thm)],[2040,1776,theory(equality)]) ).
cnf(2049,plain,
( xR = sz0z00
| ~ sdtlseqdt0(xP,xR) ),
inference(cn,[status(thm)],[2048,theory(equality)]) ).
cnf(2083,plain,
xR = sz0z00,
inference(csr,[status(thm)],[2049,1947]) ).
cnf(2100,plain,
( xS = sz0z00
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2015,2083,theory(equality)]),1776,theory(equality)]) ).
cnf(2101,plain,
xS = sz0z00,
inference(cn,[status(thm)],[2100,theory(equality)]) ).
cnf(2127,plain,
( ~ sdtlseqdt0(xP,xS)
| $false ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[729,2083,theory(equality)]),1776,theory(equality)]) ).
cnf(2128,plain,
~ sdtlseqdt0(xP,xS),
inference(cn,[status(thm)],[2127,theory(equality)]) ).
cnf(2154,plain,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[2128,2101,theory(equality)]),1776,theory(equality)]) ).
cnf(2155,plain,
$false,
inference(cn,[status(thm)],[2154,theory(equality)]) ).
cnf(2156,plain,
$false,
2155,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG071+1.p
% --creating new selector for []
% -running prover on /tmp/tmprnWp3c/sel_RNG071+1.p_1 with time limit 29
% -prover status Theorem
% Problem RNG071+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG071+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG071+1.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
%
%------------------------------------------------------------------------------