TSTP Solution File: RNG080+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : RNG080+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 02:10:49 EST 2010
% Result : Theorem 5.96s
% Output : CNFRefutation 5.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 71 ( 31 unt; 0 def)
% Number of atoms : 169 ( 101 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 59 ~; 83 |; 13 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
aDimensionOf0(xs) = aDimensionOf0(xt),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1678_01) ).
fof(7,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1820) ).
fof(16,axiom,
! [X1,X2] :
( ( aVector0(X1)
& aVector0(X2) )
=> ( ( aDimensionOf0(X1) = aDimensionOf0(X2)
& aDimensionOf0(X2) != sz00 )
=> sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',mDefSPN) ).
fof(17,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1873) ).
fof(23,axiom,
( aScalar0(xF)
& xF = sdtasdt0(xA,xA) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1837) ).
fof(26,conjecture,
sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__) ).
fof(28,axiom,
( aScalar0(xB)
& xB = sdtlbdtrb0(xt,aDimensionOf0(xt)) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1766) ).
fof(38,axiom,
( aScalar0(xG)
& xG = sdtasdt0(xB,xB) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1854) ).
fof(43,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__2733) ).
fof(45,axiom,
( aScalar0(xC)
& xC = sdtasasdt0(xp,xp) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1783) ).
fof(46,axiom,
aDimensionOf0(xs) != sz00,
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1692) ).
fof(47,axiom,
( aScalar0(xD)
& xD = sdtasasdt0(xq,xq) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1800) ).
fof(48,axiom,
( aVector0(xs)
& aVector0(xt) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1678) ).
fof(49,axiom,
( aVector0(xq)
& xq = sziznziztdt0(xt) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1726) ).
fof(51,axiom,
( aVector0(xp)
& xp = sziznziztdt0(xs) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1709) ).
fof(52,axiom,
( aScalar0(xA)
& xA = sdtlbdtrb0(xs,aDimensionOf0(xs)) ),
file('/tmp/tmph4bYMA/sel_RNG080+1.p_1',m__1746) ).
fof(60,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(assume_negation,[status(cth)],[26]) ).
fof(61,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(fof_simplification,[status(thm)],[60,theory(equality)]) ).
cnf(72,plain,
aDimensionOf0(xs) = aDimensionOf0(xt),
inference(split_conjunct,[status(thm)],[5]) ).
cnf(84,plain,
xE = sdtasasdt0(xp,xq),
inference(split_conjunct,[status(thm)],[7]) ).
fof(114,plain,
! [X1,X2] :
( ~ aVector0(X1)
| ~ aVector0(X2)
| aDimensionOf0(X1) != aDimensionOf0(X2)
| aDimensionOf0(X2) = sz00
| sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(115,plain,
! [X3,X4] :
( ~ aVector0(X3)
| ~ aVector0(X4)
| aDimensionOf0(X3) != aDimensionOf0(X4)
| aDimensionOf0(X4) = sz00
| sdtasasdt0(X3,X4) = sdtpldt0(sdtasasdt0(sziznziztdt0(X3),sziznziztdt0(X4)),sdtasdt0(sdtlbdtrb0(X3,aDimensionOf0(X3)),sdtlbdtrb0(X4,aDimensionOf0(X4)))) ),
inference(variable_rename,[status(thm)],[114]) ).
cnf(116,plain,
( sdtasasdt0(X1,X2) = sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2))))
| aDimensionOf0(X2) = sz00
| aDimensionOf0(X1) != aDimensionOf0(X2)
| ~ aVector0(X2)
| ~ aVector0(X1) ),
inference(split_conjunct,[status(thm)],[115]) ).
cnf(117,plain,
xH = sdtasdt0(xA,xB),
inference(split_conjunct,[status(thm)],[17]) ).
cnf(133,plain,
xF = sdtasdt0(xA,xA),
inference(split_conjunct,[status(thm)],[23]) ).
cnf(141,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),
inference(split_conjunct,[status(thm)],[61]) ).
cnf(145,plain,
xB = sdtlbdtrb0(xt,aDimensionOf0(xt)),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(184,plain,
xG = sdtasdt0(xB,xB),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(200,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
inference(split_conjunct,[status(thm)],[43]) ).
cnf(206,plain,
xC = sdtasasdt0(xp,xp),
inference(split_conjunct,[status(thm)],[45]) ).
cnf(208,plain,
aDimensionOf0(xs) != sz00,
inference(split_conjunct,[status(thm)],[46]) ).
cnf(209,plain,
xD = sdtasasdt0(xq,xq),
inference(split_conjunct,[status(thm)],[47]) ).
cnf(211,plain,
aVector0(xt),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(212,plain,
aVector0(xs),
inference(split_conjunct,[status(thm)],[48]) ).
cnf(213,plain,
xq = sziznziztdt0(xt),
inference(split_conjunct,[status(thm)],[49]) ).
cnf(218,plain,
xp = sziznziztdt0(xs),
inference(split_conjunct,[status(thm)],[51]) ).
cnf(220,plain,
xA = sdtlbdtrb0(xs,aDimensionOf0(xs)),
inference(split_conjunct,[status(thm)],[52]) ).
cnf(252,plain,
sdtlbdtrb0(xt,aDimensionOf0(xs)) = xB,
inference(rw,[status(thm)],[145,72,theory(equality)]) ).
cnf(1127,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
| aDimensionOf0(X1) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(xs) ),
inference(spm,[status(thm)],[116,218,theory(equality)]) ).
cnf(1130,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(X1,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(X1) ),
inference(spm,[status(thm)],[116,213,theory(equality)]) ).
cnf(1141,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
| aDimensionOf0(X1) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X1)
| ~ aVector0(X1)
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[1127,220,theory(equality)]) ).
cnf(1142,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
| aDimensionOf0(X1) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X1)
| ~ aVector0(X1)
| $false ),
inference(rw,[status(thm)],[1141,212,theory(equality)]) ).
cnf(1143,plain,
( sdtpldt0(sdtasasdt0(xp,sziznziztdt0(X1)),sdtasdt0(xA,sdtlbdtrb0(X1,aDimensionOf0(X1)))) = sdtasasdt0(xs,X1)
| aDimensionOf0(X1) = sz00
| aDimensionOf0(xs) != aDimensionOf0(X1)
| ~ aVector0(X1) ),
inference(cn,[status(thm)],[1142,theory(equality)]) ).
cnf(1152,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[1130,72,theory(equality)]),252,theory(equality)]) ).
cnf(1153,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xt)
| ~ aVector0(xt)
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[1152,72,theory(equality)]) ).
cnf(1154,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(xt)
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[1153,72,theory(equality)]) ).
cnf(1155,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xs)
| $false
| ~ aVector0(X1) ),
inference(rw,[status(thm)],[1154,211,theory(equality)]) ).
cnf(1156,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(cn,[status(thm)],[1155,theory(equality)]) ).
cnf(1157,plain,
( sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB)) = sdtasasdt0(X1,xt)
| aDimensionOf0(X1) != aDimensionOf0(xs)
| ~ aVector0(X1) ),
inference(sr,[status(thm)],[1156,208,theory(equality)]) ).
cnf(162137,plain,
( sdtpldt0(sdtasasdt0(xp,xp),sdtasdt0(xA,sdtlbdtrb0(xs,aDimensionOf0(xs)))) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00
| ~ aVector0(xs) ),
inference(spm,[status(thm)],[1143,218,theory(equality)]) ).
cnf(162138,plain,
( sdtpldt0(sdtasasdt0(xp,xq),sdtasdt0(xA,sdtlbdtrb0(xt,aDimensionOf0(xt)))) = sdtasasdt0(xs,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt) ),
inference(spm,[status(thm)],[1143,213,theory(equality)]) ).
cnf(162200,plain,
( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00
| ~ aVector0(xs) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[162137,206,theory(equality)]),220,theory(equality)]),133,theory(equality)]) ).
cnf(162201,plain,
( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00
| $false ),
inference(rw,[status(thm)],[162200,212,theory(equality)]) ).
cnf(162202,plain,
( sdtpldt0(xC,xF) = sdtasasdt0(xs,xs)
| aDimensionOf0(xs) = sz00 ),
inference(cn,[status(thm)],[162201,theory(equality)]) ).
cnf(162203,plain,
sdtasasdt0(xs,xs) = sdtpldt0(xC,xF),
inference(sr,[status(thm)],[162202,208,theory(equality)]) ).
cnf(162204,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xt) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[162138,84,theory(equality)]),72,theory(equality)]),252,theory(equality)]),117,theory(equality)]) ).
cnf(162205,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00
| aDimensionOf0(xs) != aDimensionOf0(xt)
| ~ aVector0(xt) ),
inference(rw,[status(thm)],[162204,72,theory(equality)]) ).
cnf(162206,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00
| $false
| ~ aVector0(xt) ),
inference(rw,[status(thm)],[162205,72,theory(equality)]) ).
cnf(162207,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00
| $false
| $false ),
inference(rw,[status(thm)],[162206,211,theory(equality)]) ).
cnf(162208,plain,
( sdtpldt0(xE,xH) = sdtasasdt0(xs,xt)
| aDimensionOf0(xs) = sz00 ),
inference(cn,[status(thm)],[162207,theory(equality)]) ).
cnf(162209,plain,
sdtasasdt0(xs,xt) = sdtpldt0(xE,xH),
inference(sr,[status(thm)],[162208,208,theory(equality)]) ).
cnf(162283,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt))),
inference(rw,[status(thm)],[141,162203,theory(equality)]) ).
cnf(162442,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtasasdt0(xt,xt))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[162283,162209,theory(equality)]),162209,theory(equality)]) ).
cnf(163501,plain,
( sdtpldt0(sdtasasdt0(xq,xq),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xt)),xB)) = sdtasasdt0(xt,xt)
| aDimensionOf0(xt) != aDimensionOf0(xs)
| ~ aVector0(xt) ),
inference(spm,[status(thm)],[1157,213,theory(equality)]) ).
cnf(163571,plain,
( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
| aDimensionOf0(xt) != aDimensionOf0(xs)
| ~ aVector0(xt) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[163501,209,theory(equality)]),72,theory(equality)]),252,theory(equality)]),184,theory(equality)]) ).
cnf(163572,plain,
( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
| $false
| ~ aVector0(xt) ),
inference(rw,[status(thm)],[163571,72,theory(equality)]) ).
cnf(163573,plain,
( sdtpldt0(xD,xG) = sdtasasdt0(xt,xt)
| $false
| $false ),
inference(rw,[status(thm)],[163572,211,theory(equality)]) ).
cnf(163574,plain,
sdtpldt0(xD,xG) = sdtasasdt0(xt,xt),
inference(cn,[status(thm)],[163573,theory(equality)]) ).
cnf(163648,negated_conjecture,
$false,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[162442,163574,theory(equality)]),200,theory(equality)]) ).
cnf(163649,negated_conjecture,
$false,
inference(cn,[status(thm)],[163648,theory(equality)]) ).
cnf(163650,negated_conjecture,
$false,
163649,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/RNG/RNG080+1.p
% --creating new selector for []
% -running prover on /tmp/tmph4bYMA/sel_RNG080+1.p_1 with time limit 29
% -prover status Theorem
% Problem RNG080+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/RNG/RNG080+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/RNG/RNG080+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
%
%------------------------------------------------------------------------------