TSTP Solution File: RNG080+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG080+2 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %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 : Wed Dec 29 22:27:20 EST 2010
% Result : Theorem 14.33s
% Output : Solution 14.33s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP32413/RNG080+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32413/RNG080+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32413/RNG080+2.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 32509
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.89 CPU 8.02 WC
% PrfWatch: 9.87 CPU 10.03 WC
% PrfWatch: 11.86 CPU 12.03 WC
% # SZS output start CNFRefutation.
% fof(21, 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/SRASS.s.p', mDefSPN)).
% fof(22, axiom,(aVector0(xs)&aVector0(xt)),file('/tmp/SRASS.s.p', m__1678)).
% fof(24, axiom,aDimensionOf0(xs)=aDimensionOf0(xt),file('/tmp/SRASS.s.p', m__1678_01)).
% fof(25, axiom,~(aDimensionOf0(xs)=sz00),file('/tmp/SRASS.s.p', m__1692)).
% fof(26, axiom,(((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&![X1]:(aNaturalNumber0(X1)=>sdtlbdtrb0(xp,X1)=sdtlbdtrb0(xs,X1)))&xp=sziznziztdt0(xs)),file('/tmp/SRASS.s.p', m__1709)).
% fof(27, axiom,(((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&![X1]:(aNaturalNumber0(X1)=>sdtlbdtrb0(xq,X1)=sdtlbdtrb0(xt,X1)))&xq=sziznziztdt0(xt)),file('/tmp/SRASS.s.p', m__1726)).
% fof(28, axiom,(aScalar0(xA)&xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),file('/tmp/SRASS.s.p', m__1746)).
% fof(29, axiom,(aScalar0(xB)&xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),file('/tmp/SRASS.s.p', m__1766)).
% fof(30, axiom,(aScalar0(xC)&xC=sdtasasdt0(xp,xp)),file('/tmp/SRASS.s.p', m__1783)).
% fof(31, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(32, axiom,(aScalar0(xE)&xE=sdtasasdt0(xp,xq)),file('/tmp/SRASS.s.p', m__1820)).
% fof(33, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(34, axiom,(aScalar0(xG)&xG=sdtasdt0(xB,xB)),file('/tmp/SRASS.s.p', m__1854)).
% fof(35, axiom,(aScalar0(xH)&xH=sdtasdt0(xA,xB)),file('/tmp/SRASS.s.p', m__1873)).
% fof(42, axiom,sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),file('/tmp/SRASS.s.p', m__2733)).
% fof(59, conjecture,sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))),file('/tmp/SRASS.s.p', m__)).
% fof(60, negated_conjecture,~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),inference(assume_negation,[status(cth)],[59])).
% fof(66, 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)])).
% fof(143, 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)],[21])).
% fof(144, 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)],[143])).
% cnf(145,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)],[144])).
% cnf(146,plain,(aVector0(xt)),inference(split_conjunct,[status(thm)],[22])).
% cnf(147,plain,(aVector0(xs)),inference(split_conjunct,[status(thm)],[22])).
% cnf(151,plain,(aDimensionOf0(xs)=aDimensionOf0(xt)),inference(split_conjunct,[status(thm)],[24])).
% cnf(152,plain,(aDimensionOf0(xs)!=sz00),inference(split_conjunct,[status(thm)],[25])).
% fof(153, 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)],[26])).
% fof(154, 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)],[153])).
% fof(155, 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)],[154])).
% cnf(156,plain,(xp=sziznziztdt0(xs)),inference(split_conjunct,[status(thm)],[155])).
% fof(160, 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)],[27])).
% fof(161, 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)],[160])).
% fof(162, 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)],[161])).
% cnf(163,plain,(xq=sziznziztdt0(xt)),inference(split_conjunct,[status(thm)],[162])).
% cnf(167,plain,(xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),inference(split_conjunct,[status(thm)],[28])).
% cnf(169,plain,(xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),inference(split_conjunct,[status(thm)],[29])).
% cnf(171,plain,(xC=sdtasasdt0(xp,xp)),inference(split_conjunct,[status(thm)],[30])).
% cnf(173,plain,(xD=sdtasasdt0(xq,xq)),inference(split_conjunct,[status(thm)],[31])).
% cnf(175,plain,(xE=sdtasasdt0(xp,xq)),inference(split_conjunct,[status(thm)],[32])).
% cnf(177,plain,(xF=sdtasdt0(xA,xA)),inference(split_conjunct,[status(thm)],[33])).
% cnf(179,plain,(xG=sdtasdt0(xB,xB)),inference(split_conjunct,[status(thm)],[34])).
% cnf(181,plain,(xH=sdtasdt0(xA,xB)),inference(split_conjunct,[status(thm)],[35])).
% cnf(193,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(split_conjunct,[status(thm)],[42])).
% cnf(247,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),inference(split_conjunct,[status(thm)],[66])).
% cnf(248,plain,(sdtlbdtrb0(xt,aDimensionOf0(xs))=xB),inference(rw,[status(thm)],[169,151,theory(equality)])).
% cnf(1117,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X1)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X1,aDimensionOf0(X1))))=sdtasasdt0(X1,X1)|aDimensionOf0(X1)=sz00|~aVector0(X1)),inference(er,[status(thm)],[145,theory(equality)])).
% cnf(1118,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(xt,aDimensionOf0(xs))))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(xt)|~aVector0(X1)),inference(spm,[status(thm)],[145,151,theory(equality)])).
% cnf(1120,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)],[inference(rw,[status(thm)],[1118,163,theory(equality)]),248,theory(equality)])).
% cnf(1121,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|$false|~aVector0(X1)),inference(rw,[status(thm)],[1120,146,theory(equality)])).
% cnf(1122,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(cn,[status(thm)],[1121,theory(equality)])).
% cnf(1123,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(sr,[status(thm)],[1122,152,theory(equality)])).
% cnf(528107,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(xt),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(xt,aDimensionOf0(xs)),sdtlbdtrb0(xt,aDimensionOf0(xs))))=sdtasasdt0(xt,xt)|aDimensionOf0(xs)=sz00|~aVector0(xt)),inference(spm,[status(thm)],[1117,151,theory(equality)])).
% cnf(528110,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),sziznziztdt0(xs)),sdtasdt0(xA,xA))=sdtasasdt0(xs,xs)|aDimensionOf0(xs)=sz00|~aVector0(xs)),inference(spm,[status(thm)],[1117,167,theory(equality)])).
% cnf(528129,plain,(sdtpldt0(xD,xG)=sdtasasdt0(xt,xt)|aDimensionOf0(xs)=sz00|~aVector0(xt)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[528107,163,theory(equality)]),163,theory(equality)]),173,theory(equality)]),248,theory(equality)]),248,theory(equality)]),179,theory(equality)])).
% cnf(528130,plain,(sdtpldt0(xD,xG)=sdtasasdt0(xt,xt)|aDimensionOf0(xs)=sz00|$false),inference(rw,[status(thm)],[528129,146,theory(equality)])).
% cnf(528131,plain,(sdtpldt0(xD,xG)=sdtasasdt0(xt,xt)|aDimensionOf0(xs)=sz00),inference(cn,[status(thm)],[528130,theory(equality)])).
% cnf(528132,plain,(sdtasasdt0(xt,xt)=sdtpldt0(xD,xG)),inference(sr,[status(thm)],[528131,152,theory(equality)])).
% cnf(528143,plain,(sdtpldt0(xC,xF)=sdtasasdt0(xs,xs)|aDimensionOf0(xs)=sz00|~aVector0(xs)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[528110,156,theory(equality)]),156,theory(equality)]),171,theory(equality)]),177,theory(equality)])).
% cnf(528144,plain,(sdtpldt0(xC,xF)=sdtasasdt0(xs,xs)|aDimensionOf0(xs)=sz00|$false),inference(rw,[status(thm)],[528143,147,theory(equality)])).
% cnf(528145,plain,(sdtpldt0(xC,xF)=sdtasasdt0(xs,xs)|aDimensionOf0(xs)=sz00),inference(cn,[status(thm)],[528144,theory(equality)])).
% cnf(528146,plain,(sdtasasdt0(xs,xs)=sdtpldt0(xC,xF)),inference(sr,[status(thm)],[528145,152,theory(equality)])).
% cnf(528229,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtpldt0(xD,xG)))),inference(rw,[status(thm)],[247,528132,theory(equality)])).
% cnf(528296,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(rw,[status(thm)],[528229,528146,theory(equality)])).
% cnf(528313,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))=sdtasasdt0(xs,xt)|~aVector0(xs)),inference(er,[status(thm)],[1123,theory(equality)])).
% cnf(528316,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)|~aVector0(xs)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[528313,156,theory(equality)]),175,theory(equality)]),167,theory(equality)]),181,theory(equality)])).
% cnf(528317,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)|$false),inference(rw,[status(thm)],[528316,147,theory(equality)])).
% cnf(528318,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)),inference(cn,[status(thm)],[528317,theory(equality)])).
% cnf(528326,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[528296,528318,theory(equality)]),528318,theory(equality)]),193,theory(equality)])).
% cnf(528327,negated_conjecture,($false),inference(cn,[status(thm)],[528326,theory(equality)])).
% cnf(528328,negated_conjecture,($false),528327,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3147
% # ...of these trivial : 438
% # ...subsumed : 964
% # ...remaining for further processing: 1745
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 115
% # Backward-rewritten : 311
% # Generated clauses : 149810
% # ...of the previous two non-trivial : 137600
% # Contextual simplify-reflections : 322
% # Paramodulations : 149779
% # Factorizations : 4
% # Equation resolutions : 27
% # Current number of processed clauses: 1319
% # Positive orientable unit clauses: 842
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 475
% # Current number of unprocessed clauses: 107721
% # ...number of literals in the above : 384987
% # Clause-clause subsumption calls (NU) : 18523
% # Rec. Clause-clause subsumption calls : 7968
% # Unit Clause-clause subsumption calls : 25
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 3369
% # Indexed BW rewrite successes : 125
% # Backwards rewriting index: 1521 leaves, 1.38+/-1.868 terms/leaf
% # Paramod-from index: 807 leaves, 1.44+/-2.279 terms/leaf
% # Paramod-into index: 1351 leaves, 1.36+/-1.908 terms/leaf
% # -------------------------------------------------
% # User time : 6.018 s
% # System time : 0.283 s
% # Total time : 6.301 s
% # Maximum resident set size: 0 pages
% PrfWatch: 13.42 CPU 13.61 WC
% FINAL PrfWatch: 13.42 CPU 13.61 WC
% SZS output end Solution for /tmp/SystemOnTPTP32413/RNG080+2.tptp
%
%------------------------------------------------------------------------------