TSTP Solution File: RNG048+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG048+1 : 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 22:05:36 EST 2010
% Result : Theorem 3.38s
% Output : Solution 3.38s
% 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/SystemOnTPTP14405/RNG048+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14405/RNG048+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14405/RNG048+1.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 14501
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.92 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>(aDimensionOf0(X1)=aDimensionOf0(X2)=>aScalar0(sdtasasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mScPr)).
% fof(2, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>((aDimensionOf0(X1)=aDimensionOf0(X2)&aDimensionOf0(X2)=sz00)=>sdtasasdt0(X1,X2)=sz0z00)),file('/tmp/SRASS.s.p', mDefSPZ)).
% fof(3, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(4, axiom,![X1]:(aVector0(X1)=>aNaturalNumber0(aDimensionOf0(X1))),file('/tmp/SRASS.s.p', mDimNat)).
% fof(9, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),file('/tmp/SRASS.s.p', mSqPos)).
% fof(11, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(14, 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/SRASS.s.p', mPosMon)).
% fof(17, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(szszuzczcdt0(X1)=szszuzczcdt0(X2)=>X1=X2)),file('/tmp/SRASS.s.p', mSuccEqu)).
% fof(19, axiom,![X1]:(aNaturalNumber0(X1)=>iLess0(X1,szszuzczcdt0(X1))),file('/tmp/SRASS.s.p', mIH)).
% fof(28, 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/SRASS.s.p', mScZero)).
% fof(31, axiom,![X1]:![X2]:((aVector0(X1)&aNaturalNumber0(X2))=>aScalar0(sdtlbdtrb0(X1,X2))),file('/tmp/SRASS.s.p', mElmSc)).
% fof(32, 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(34, axiom,![X1]:(aNaturalNumber0(X1)=>(aNaturalNumber0(szszuzczcdt0(X1))&~(szszuzczcdt0(X1)=sz00))),file('/tmp/SRASS.s.p', mSuccNat)).
% fof(35, axiom,![X1]:((aNaturalNumber0(X1)&~(X1=sz00))=>?[X2]:(aNaturalNumber0(X2)&X1=szszuzczcdt0(X2))),file('/tmp/SRASS.s.p', mNatExtr)).
% fof(36, axiom,![X1]:(aVector0(X1)=>(~(aDimensionOf0(X1)=sz00)=>![X2]:(X2=sziznziztdt0(X1)<=>((aVector0(X2)&szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(X1))&![X3]:(aNaturalNumber0(X3)=>sdtlbdtrb0(X2,X3)=sdtlbdtrb0(X1,X3)))))),file('/tmp/SRASS.s.p', mDefInit)).
% fof(37, conjecture,![X1]:(aVector0(X1)=>(![X2]:(aVector0(X2)=>(iLess0(aDimensionOf0(X2),aDimensionOf0(X1))=>sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2))))=>sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1)))),file('/tmp/SRASS.s.p', m__)).
% fof(38, negated_conjecture,~(![X1]:(aVector0(X1)=>(![X2]:(aVector0(X2)=>(iLess0(aDimensionOf0(X2),aDimensionOf0(X1))=>sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2))))=>sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))))),inference(assume_negation,[status(cth)],[37])).
% fof(44, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|(~(aDimensionOf0(X1)=aDimensionOf0(X2))|aScalar0(sdtasasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[1])).
% fof(45, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|(~(aDimensionOf0(X3)=aDimensionOf0(X4))|aScalar0(sdtasasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[44])).
% cnf(46,plain,(aScalar0(sdtasasdt0(X1,X2))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[45])).
% fof(47, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|((~(aDimensionOf0(X1)=aDimensionOf0(X2))|~(aDimensionOf0(X2)=sz00))|sdtasasdt0(X1,X2)=sz0z00)),inference(fof_nnf,[status(thm)],[2])).
% fof(48, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|((~(aDimensionOf0(X3)=aDimensionOf0(X4))|~(aDimensionOf0(X4)=sz00))|sdtasasdt0(X3,X4)=sz0z00)),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(sdtasasdt0(X1,X2)=sz0z00|aDimensionOf0(X2)!=sz00|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[3])).
% fof(51, plain,![X1]:(~(aVector0(X1))|aNaturalNumber0(aDimensionOf0(X1))),inference(fof_nnf,[status(thm)],[4])).
% fof(52, plain,![X2]:(~(aVector0(X2))|aNaturalNumber0(aDimensionOf0(X2))),inference(variable_rename,[status(thm)],[51])).
% cnf(53,plain,(aNaturalNumber0(aDimensionOf0(X1))|~aVector0(X1)),inference(split_conjunct,[status(thm)],[52])).
% fof(66, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(67, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(sz0z00,sdtasdt0(X2,X2))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(72, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[11])).
% fof(73, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[73])).
% fof(80, 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)],[14])).
% fof(81, 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)],[80])).
% fof(82, 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)],[81])).
% cnf(84,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,X2)),inference(split_conjunct,[status(thm)],[82])).
% fof(91, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(szszuzczcdt0(X1)=szszuzczcdt0(X2))|X1=X2)),inference(fof_nnf,[status(thm)],[17])).
% fof(92, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(~(szszuzczcdt0(X3)=szszuzczcdt0(X4))|X3=X4)),inference(variable_rename,[status(thm)],[91])).
% cnf(93,plain,(X1=X2|szszuzczcdt0(X1)!=szszuzczcdt0(X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[92])).
% fof(96, plain,![X1]:(~(aNaturalNumber0(X1))|iLess0(X1,szszuzczcdt0(X1))),inference(fof_nnf,[status(thm)],[19])).
% fof(97, plain,![X2]:(~(aNaturalNumber0(X2))|iLess0(X2,szszuzczcdt0(X2))),inference(variable_rename,[status(thm)],[96])).
% cnf(98,plain,(iLess0(X1,szszuzczcdt0(X1))|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[97])).
% fof(130, 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)],[28])).
% fof(131, 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)],[130])).
% fof(132, 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)],[131])).
% cnf(137,plain,(sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[132])).
% fof(145, plain,![X1]:![X2]:((~(aVector0(X1))|~(aNaturalNumber0(X2)))|aScalar0(sdtlbdtrb0(X1,X2))),inference(fof_nnf,[status(thm)],[31])).
% fof(146, plain,![X3]:![X4]:((~(aVector0(X3))|~(aNaturalNumber0(X4)))|aScalar0(sdtlbdtrb0(X3,X4))),inference(variable_rename,[status(thm)],[145])).
% cnf(147,plain,(aScalar0(sdtlbdtrb0(X1,X2))|~aNaturalNumber0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[146])).
% fof(148, 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)],[32])).
% fof(149, 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)],[148])).
% cnf(150,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)],[149])).
% fof(152, plain,![X1]:(~(aNaturalNumber0(X1))|(aNaturalNumber0(szszuzczcdt0(X1))&~(szszuzczcdt0(X1)=sz00))),inference(fof_nnf,[status(thm)],[34])).
% fof(153, plain,![X2]:(~(aNaturalNumber0(X2))|(aNaturalNumber0(szszuzczcdt0(X2))&~(szszuzczcdt0(X2)=sz00))),inference(variable_rename,[status(thm)],[152])).
% fof(154, plain,![X2]:((aNaturalNumber0(szszuzczcdt0(X2))|~(aNaturalNumber0(X2)))&(~(szszuzczcdt0(X2)=sz00)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[153])).
% cnf(155,plain,(~aNaturalNumber0(X1)|szszuzczcdt0(X1)!=sz00),inference(split_conjunct,[status(thm)],[154])).
% cnf(156,plain,(aNaturalNumber0(szszuzczcdt0(X1))|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[154])).
% fof(157, plain,![X1]:((~(aNaturalNumber0(X1))|X1=sz00)|?[X2]:(aNaturalNumber0(X2)&X1=szszuzczcdt0(X2))),inference(fof_nnf,[status(thm)],[35])).
% fof(158, plain,![X3]:((~(aNaturalNumber0(X3))|X3=sz00)|?[X4]:(aNaturalNumber0(X4)&X3=szszuzczcdt0(X4))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X3]:((~(aNaturalNumber0(X3))|X3=sz00)|(aNaturalNumber0(esk1_1(X3))&X3=szszuzczcdt0(esk1_1(X3)))),inference(skolemize,[status(esa)],[158])).
% fof(160, plain,![X3]:((aNaturalNumber0(esk1_1(X3))|(~(aNaturalNumber0(X3))|X3=sz00))&(X3=szszuzczcdt0(esk1_1(X3))|(~(aNaturalNumber0(X3))|X3=sz00))),inference(distribute,[status(thm)],[159])).
% cnf(161,plain,(X1=sz00|X1=szszuzczcdt0(esk1_1(X1))|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[160])).
% cnf(162,plain,(X1=sz00|aNaturalNumber0(esk1_1(X1))|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[160])).
% fof(163, plain,![X1]:(~(aVector0(X1))|(aDimensionOf0(X1)=sz00|![X2]:((~(X2=sziznziztdt0(X1))|((aVector0(X2)&szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(X1))&![X3]:(~(aNaturalNumber0(X3))|sdtlbdtrb0(X2,X3)=sdtlbdtrb0(X1,X3))))&(((~(aVector0(X2))|~(szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(X1)))|?[X3]:(aNaturalNumber0(X3)&~(sdtlbdtrb0(X2,X3)=sdtlbdtrb0(X1,X3))))|X2=sziznziztdt0(X1))))),inference(fof_nnf,[status(thm)],[36])).
% fof(164, plain,![X4]:(~(aVector0(X4))|(aDimensionOf0(X4)=sz00|![X5]:((~(X5=sziznziztdt0(X4))|((aVector0(X5)&szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4))&![X6]:(~(aNaturalNumber0(X6))|sdtlbdtrb0(X5,X6)=sdtlbdtrb0(X4,X6))))&(((~(aVector0(X5))|~(szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4)))|?[X7]:(aNaturalNumber0(X7)&~(sdtlbdtrb0(X5,X7)=sdtlbdtrb0(X4,X7))))|X5=sziznziztdt0(X4))))),inference(variable_rename,[status(thm)],[163])).
% fof(165, plain,![X4]:(~(aVector0(X4))|(aDimensionOf0(X4)=sz00|![X5]:((~(X5=sziznziztdt0(X4))|((aVector0(X5)&szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4))&![X6]:(~(aNaturalNumber0(X6))|sdtlbdtrb0(X5,X6)=sdtlbdtrb0(X4,X6))))&(((~(aVector0(X5))|~(szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4)))|(aNaturalNumber0(esk2_2(X4,X5))&~(sdtlbdtrb0(X5,esk2_2(X4,X5))=sdtlbdtrb0(X4,esk2_2(X4,X5)))))|X5=sziznziztdt0(X4))))),inference(skolemize,[status(esa)],[164])).
% fof(166, plain,![X4]:![X5]:![X6]:((((((~(aNaturalNumber0(X6))|sdtlbdtrb0(X5,X6)=sdtlbdtrb0(X4,X6))&(aVector0(X5)&szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4)))|~(X5=sziznziztdt0(X4)))&(((~(aVector0(X5))|~(szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4)))|(aNaturalNumber0(esk2_2(X4,X5))&~(sdtlbdtrb0(X5,esk2_2(X4,X5))=sdtlbdtrb0(X4,esk2_2(X4,X5)))))|X5=sziznziztdt0(X4)))|aDimensionOf0(X4)=sz00)|~(aVector0(X4))),inference(shift_quantors,[status(thm)],[165])).
% fof(167, plain,![X4]:![X5]:![X6]:((((((~(aNaturalNumber0(X6))|sdtlbdtrb0(X5,X6)=sdtlbdtrb0(X4,X6))|~(X5=sziznziztdt0(X4)))|aDimensionOf0(X4)=sz00)|~(aVector0(X4)))&((((aVector0(X5)|~(X5=sziznziztdt0(X4)))|aDimensionOf0(X4)=sz00)|~(aVector0(X4)))&(((szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4)|~(X5=sziznziztdt0(X4)))|aDimensionOf0(X4)=sz00)|~(aVector0(X4)))))&(((((aNaturalNumber0(esk2_2(X4,X5))|(~(aVector0(X5))|~(szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4))))|X5=sziznziztdt0(X4))|aDimensionOf0(X4)=sz00)|~(aVector0(X4)))&((((~(sdtlbdtrb0(X5,esk2_2(X4,X5))=sdtlbdtrb0(X4,esk2_2(X4,X5)))|(~(aVector0(X5))|~(szszuzczcdt0(aDimensionOf0(X5))=aDimensionOf0(X4))))|X5=sziznziztdt0(X4))|aDimensionOf0(X4)=sz00)|~(aVector0(X4))))),inference(distribute,[status(thm)],[166])).
% cnf(170,plain,(aDimensionOf0(X1)=sz00|szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(X1)|~aVector0(X1)|X2!=sziznziztdt0(X1)),inference(split_conjunct,[status(thm)],[167])).
% cnf(171,plain,(aDimensionOf0(X1)=sz00|aVector0(X2)|~aVector0(X1)|X2!=sziznziztdt0(X1)),inference(split_conjunct,[status(thm)],[167])).
% fof(173, negated_conjecture,?[X1]:(aVector0(X1)&(![X2]:(~(aVector0(X2))|(~(iLess0(aDimensionOf0(X2),aDimensionOf0(X1)))|sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2))))&~(sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))))),inference(fof_nnf,[status(thm)],[38])).
% fof(174, negated_conjecture,?[X3]:(aVector0(X3)&(![X4]:(~(aVector0(X4))|(~(iLess0(aDimensionOf0(X4),aDimensionOf0(X3)))|sdtlseqdt0(sz0z00,sdtasasdt0(X4,X4))))&~(sdtlseqdt0(sz0z00,sdtasasdt0(X3,X3))))),inference(variable_rename,[status(thm)],[173])).
% fof(175, negated_conjecture,(aVector0(esk3_0)&(![X4]:(~(aVector0(X4))|(~(iLess0(aDimensionOf0(X4),aDimensionOf0(esk3_0)))|sdtlseqdt0(sz0z00,sdtasasdt0(X4,X4))))&~(sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))))),inference(skolemize,[status(esa)],[174])).
% fof(176, negated_conjecture,![X4]:(((~(aVector0(X4))|(~(iLess0(aDimensionOf0(X4),aDimensionOf0(esk3_0)))|sdtlseqdt0(sz0z00,sdtasasdt0(X4,X4))))&~(sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))))&aVector0(esk3_0)),inference(shift_quantors,[status(thm)],[175])).
% cnf(177,negated_conjecture,(aVector0(esk3_0)),inference(split_conjunct,[status(thm)],[176])).
% cnf(178,negated_conjecture,(~sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))),inference(split_conjunct,[status(thm)],[176])).
% cnf(179,negated_conjecture,(sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))|~iLess0(aDimensionOf0(X1),aDimensionOf0(esk3_0))|~aVector0(X1)),inference(split_conjunct,[status(thm)],[176])).
% cnf(185,plain,(sdtlseqdt0(sz0z00,sz0z00)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[68,137,theory(equality)])).
% cnf(187,plain,(sdtlseqdt0(sz0z00,sz0z00)|$false),inference(rw,[status(thm)],[185,50,theory(equality)])).
% cnf(188,plain,(sdtlseqdt0(sz0z00,sz0z00)),inference(cn,[status(thm)],[187,theory(equality)])).
% cnf(195,plain,(aDimensionOf0(X1)=sz00|aVector0(sziznziztdt0(X1))|~aVector0(X1)),inference(er,[status(thm)],[171,theory(equality)])).
% cnf(214,plain,(aScalar0(sdtasasdt0(X1,X1))|~aVector0(X1)),inference(er,[status(thm)],[46,theory(equality)])).
% cnf(217,plain,(iLess0(esk1_1(X1),X1)|sz00=X1|~aNaturalNumber0(esk1_1(X1))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[98,161,theory(equality)])).
% cnf(220,plain,(X1=esk1_1(X2)|sz00=X2|szszuzczcdt0(X1)!=X2|~aNaturalNumber0(esk1_1(X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[93,161,theory(equality)])).
% cnf(247,plain,(sdtasasdt0(X1,X1)=sz0z00|aDimensionOf0(X1)!=sz00|~aVector0(X1)),inference(er,[status(thm)],[49,theory(equality)])).
% cnf(267,plain,(szszuzczcdt0(aDimensionOf0(sziznziztdt0(X1)))=aDimensionOf0(X1)|aDimensionOf0(X1)=sz00|~aVector0(X1)),inference(er,[status(thm)],[170,theory(equality)])).
% cnf(608,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)],[150,theory(equality)])).
% cnf(934,plain,(sz00=X1|iLess0(esk1_1(X1),X1)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[217,162])).
% cnf(1038,plain,(X1=esk1_1(X2)|sz00=X2|szszuzczcdt0(X1)!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[220,162])).
% cnf(1039,plain,(X1=esk1_1(szszuzczcdt0(X1))|sz00=szszuzczcdt0(X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(szszuzczcdt0(X1))),inference(er,[status(thm)],[1038,theory(equality)])).
% cnf(38473,plain,(esk1_1(szszuzczcdt0(X1))=X1|szszuzczcdt0(X1)=sz00|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[1039,156])).
% cnf(38474,plain,(esk1_1(szszuzczcdt0(X1))=X1|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[38473,155])).
% cnf(38477,plain,(esk1_1(aDimensionOf0(X1))=aDimensionOf0(sziznziztdt0(X1))|aDimensionOf0(X1)=sz00|~aNaturalNumber0(aDimensionOf0(sziznziztdt0(X1)))|~aVector0(X1)),inference(spm,[status(thm)],[38474,267,theory(equality)])).
% cnf(38480,plain,(esk1_1(aDimensionOf0(X1))=aDimensionOf0(sziznziztdt0(X1))|aDimensionOf0(X1)=sz00|~aVector0(X1)|~aVector0(sziznziztdt0(X1))),inference(spm,[status(thm)],[38477,53,theory(equality)])).
% cnf(38481,plain,(esk1_1(aDimensionOf0(X1))=aDimensionOf0(sziznziztdt0(X1))|aDimensionOf0(X1)=sz00|~aVector0(X1)),inference(csr,[status(thm)],[38480,195])).
% cnf(38484,plain,(sz00=aDimensionOf0(X1)|iLess0(aDimensionOf0(sziznziztdt0(X1)),aDimensionOf0(X1))|~aNaturalNumber0(aDimensionOf0(X1))|~aVector0(X1)),inference(spm,[status(thm)],[934,38481,theory(equality)])).
% cnf(38934,plain,(aDimensionOf0(X1)=sz00|iLess0(aDimensionOf0(sziznziztdt0(X1)),aDimensionOf0(X1))|~aVector0(X1)),inference(csr,[status(thm)],[38484,53])).
% cnf(38935,negated_conjecture,(sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|aDimensionOf0(esk3_0)=sz00|~aVector0(sziznziztdt0(esk3_0))|~aVector0(esk3_0)),inference(spm,[status(thm)],[179,38934,theory(equality)])).
% cnf(38936,negated_conjecture,(sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|aDimensionOf0(esk3_0)=sz00|~aVector0(sziznziztdt0(esk3_0))|$false),inference(rw,[status(thm)],[38935,177,theory(equality)])).
% cnf(38937,negated_conjecture,(sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|aDimensionOf0(esk3_0)=sz00|~aVector0(sziznziztdt0(esk3_0))),inference(cn,[status(thm)],[38936,theory(equality)])).
% cnf(38938,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|~aVector0(esk3_0)),inference(spm,[status(thm)],[38937,195,theory(equality)])).
% cnf(38939,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|$false),inference(rw,[status(thm)],[38938,177,theory(equality)])).
% cnf(38940,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))),inference(cn,[status(thm)],[38939,theory(equality)])).
% cnf(38961,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),X1))|aDimensionOf0(esk3_0)=sz00|~sdtlseqdt0(sz0z00,X1)|~aScalar0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)))|~aScalar0(X1)),inference(spm,[status(thm)],[84,38940,theory(equality)])).
% cnf(69705,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|~aVector0(sziznziztdt0(esk3_0))),inference(spm,[status(thm)],[38961,214,theory(equality)])).
% cnf(69706,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|~aVector0(esk3_0)),inference(spm,[status(thm)],[69705,195,theory(equality)])).
% cnf(69707,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|$false),inference(rw,[status(thm)],[69706,177,theory(equality)])).
% cnf(69708,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[69707,theory(equality)])).
% cnf(69968,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),sdtasdt0(X1,X1)))|~aScalar0(sdtasdt0(X1,X1))|~aScalar0(X1)),inference(spm,[status(thm)],[69708,68,theory(equality)])).
% cnf(72428,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtpldt0(sdtasasdt0(sziznziztdt0(esk3_0),sziznziztdt0(esk3_0)),sdtasdt0(X1,X1)))|~aScalar0(X1)),inference(spm,[status(thm)],[69968,74,theory(equality)])).
% cnf(72897,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))|~aScalar0(sdtlbdtrb0(esk3_0,aDimensionOf0(esk3_0)))|~aVector0(esk3_0)),inference(spm,[status(thm)],[72428,608,theory(equality)])).
% cnf(72960,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))|~aScalar0(sdtlbdtrb0(esk3_0,aDimensionOf0(esk3_0)))|$false),inference(rw,[status(thm)],[72897,177,theory(equality)])).
% cnf(72961,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|sdtlseqdt0(sz0z00,sdtasasdt0(esk3_0,esk3_0))|~aScalar0(sdtlbdtrb0(esk3_0,aDimensionOf0(esk3_0)))),inference(cn,[status(thm)],[72960,theory(equality)])).
% cnf(72962,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|~aScalar0(sdtlbdtrb0(esk3_0,aDimensionOf0(esk3_0)))),inference(sr,[status(thm)],[72961,178,theory(equality)])).
% cnf(72963,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|~aNaturalNumber0(aDimensionOf0(esk3_0))|~aVector0(esk3_0)),inference(spm,[status(thm)],[72962,147,theory(equality)])).
% cnf(72964,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|~aNaturalNumber0(aDimensionOf0(esk3_0))|$false),inference(rw,[status(thm)],[72963,177,theory(equality)])).
% cnf(72965,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|~aNaturalNumber0(aDimensionOf0(esk3_0))),inference(cn,[status(thm)],[72964,theory(equality)])).
% cnf(72966,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|~aVector0(esk3_0)),inference(spm,[status(thm)],[72965,53,theory(equality)])).
% cnf(72967,negated_conjecture,(aDimensionOf0(esk3_0)=sz00|$false),inference(rw,[status(thm)],[72966,177,theory(equality)])).
% cnf(72968,negated_conjecture,(aDimensionOf0(esk3_0)=sz00),inference(cn,[status(thm)],[72967,theory(equality)])).
% cnf(72974,negated_conjecture,(sdtasasdt0(esk3_0,esk3_0)=sz0z00|~aVector0(esk3_0)),inference(spm,[status(thm)],[247,72968,theory(equality)])).
% cnf(73056,negated_conjecture,(sdtasasdt0(esk3_0,esk3_0)=sz0z00|$false),inference(rw,[status(thm)],[72974,177,theory(equality)])).
% cnf(73057,negated_conjecture,(sdtasasdt0(esk3_0,esk3_0)=sz0z00),inference(cn,[status(thm)],[73056,theory(equality)])).
% cnf(73067,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[178,73057,theory(equality)]),188,theory(equality)])).
% cnf(73068,negated_conjecture,($false),inference(cn,[status(thm)],[73067,theory(equality)])).
% cnf(73069,negated_conjecture,($false),73068,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2228
% # ...of these trivial : 6
% # ...subsumed : 1719
% # ...remaining for further processing: 503
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 46
% # Backward-rewritten : 86
% # Generated clauses : 33044
% # ...of the previous two non-trivial : 30059
% # Contextual simplify-reflections : 802
% # Paramodulations : 32985
% # Factorizations : 44
% # Equation resolutions : 15
% # Current number of processed clauses: 371
% # Positive orientable unit clauses: 9
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 0
% # Non-unit-clauses : 362
% # Current number of unprocessed clauses: 22667
% # ...number of literals in the above : 117618
% # Clause-clause subsumption calls (NU) : 57582
% # Rec. Clause-clause subsumption calls : 34834
% # Unit Clause-clause subsumption calls : 4
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 12
% # Indexed BW rewrite successes : 12
% # Backwards rewriting index: 286 leaves, 1.83+/-1.968 terms/leaf
% # Paramod-from index: 181 leaves, 1.42+/-1.399 terms/leaf
% # Paramod-into index: 215 leaves, 1.85+/-1.994 terms/leaf
% # -------------------------------------------------
% # User time : 1.379 s
% # System time : 0.049 s
% # Total time : 1.428 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.52 CPU 2.63 WC
% FINAL PrfWatch: 2.52 CPU 2.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP14405/RNG048+1.tptp
%
%------------------------------------------------------------------------------