TSTP Solution File: RNG081+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG081+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 22:27:39 EST 2010
% Result : Theorem 0.99s
% Output : Solution 0.99s
% 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/SystemOnTPTP32673/RNG081+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32673/RNG081+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32673/RNG081+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 301
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(20, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>(aDimensionOf0(X1)=aDimensionOf0(X2)=>aScalar0(sdtasasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mScPr)).
% 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,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>((aDimensionOf0(X1)=aDimensionOf0(X2)&aDimensionOf0(X2)=sz00)=>sdtasasdt0(X1,X2)=sz0z00)),file('/tmp/SRASS.s.p', mDefSPZ)).
% fof(30, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),file('/tmp/SRASS.s.p', mSqPos)).
% fof(34, 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(36, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(41, conjecture,((~(aDimensionOf0(xs)=sz00)=>?[X1]:((((aVector0(X1)&szszuzczcdt0(aDimensionOf0(X1))=aDimensionOf0(xs))&![X2]:(aNaturalNumber0(X2)=>sdtlbdtrb0(X1,X2)=sdtlbdtrb0(xs,X2)))&X1=sziznziztdt0(xs))&?[X2]:((((aVector0(X2)&szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(xt))&![X3]:(aNaturalNumber0(X3)=>sdtlbdtrb0(X2,X3)=sdtlbdtrb0(xt,X3)))&X2=sziznziztdt0(xt))&?[X3]:((aScalar0(X3)&X3=sdtlbdtrb0(xs,aDimensionOf0(xs)))&?[X4]:((aScalar0(X4)&X4=sdtlbdtrb0(xt,aDimensionOf0(xt)))&?[X5]:((aScalar0(X5)&X5=sdtasasdt0(X1,X1))&?[X6]:((aScalar0(X6)&X6=sdtasasdt0(X2,X2))&?[X7]:((aScalar0(X7)&X7=sdtasasdt0(X1,X2))&?[X8]:((aScalar0(X8)&X8=sdtasdt0(X3,X3))&?[X9]:((aScalar0(X9)&X9=sdtasdt0(X4,X4))&?[X10]:((aScalar0(X10)&X10=sdtasdt0(X3,X4))&?[X11]:((aScalar0(X11)&X11=sdtasdt0(X5,X9))&?[X12]:((aScalar0(X12)&X12=sdtasdt0(X7,X10))&?[X13]:((aScalar0(X13)&X13=sdtasdt0(X8,X6))&?[X14]:(((((aScalar0(X14)&X14=sdtasdt0(X11,X13))&sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)))&sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))=>sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),file('/tmp/SRASS.s.p', m__)).
% fof(42, negated_conjecture,~(((~(aDimensionOf0(xs)=sz00)=>?[X1]:((((aVector0(X1)&szszuzczcdt0(aDimensionOf0(X1))=aDimensionOf0(xs))&![X2]:(aNaturalNumber0(X2)=>sdtlbdtrb0(X1,X2)=sdtlbdtrb0(xs,X2)))&X1=sziznziztdt0(xs))&?[X2]:((((aVector0(X2)&szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(xt))&![X3]:(aNaturalNumber0(X3)=>sdtlbdtrb0(X2,X3)=sdtlbdtrb0(xt,X3)))&X2=sziznziztdt0(xt))&?[X3]:((aScalar0(X3)&X3=sdtlbdtrb0(xs,aDimensionOf0(xs)))&?[X4]:((aScalar0(X4)&X4=sdtlbdtrb0(xt,aDimensionOf0(xt)))&?[X5]:((aScalar0(X5)&X5=sdtasasdt0(X1,X1))&?[X6]:((aScalar0(X6)&X6=sdtasasdt0(X2,X2))&?[X7]:((aScalar0(X7)&X7=sdtasasdt0(X1,X2))&?[X8]:((aScalar0(X8)&X8=sdtasdt0(X3,X3))&?[X9]:((aScalar0(X9)&X9=sdtasdt0(X4,X4))&?[X10]:((aScalar0(X10)&X10=sdtasdt0(X3,X4))&?[X11]:((aScalar0(X11)&X11=sdtasdt0(X5,X9))&?[X12]:((aScalar0(X12)&X12=sdtasdt0(X7,X10))&?[X13]:((aScalar0(X13)&X13=sdtasdt0(X8,X6))&?[X14]:(((((aScalar0(X14)&X14=sdtasdt0(X11,X13))&sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)))&sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))=>sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(assume_negation,[status(cth)],[41])).
% fof(121, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|(~(aDimensionOf0(X1)=aDimensionOf0(X2))|aScalar0(sdtasasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[20])).
% fof(122, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|(~(aDimensionOf0(X3)=aDimensionOf0(X4))|aScalar0(sdtasasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[121])).
% cnf(123,plain,(aScalar0(sdtasasdt0(X1,X2))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(127,plain,(aVector0(xt)),inference(split_conjunct,[status(thm)],[22])).
% cnf(128,plain,(aVector0(xs)),inference(split_conjunct,[status(thm)],[22])).
% cnf(132,plain,(aDimensionOf0(xs)=aDimensionOf0(xt)),inference(split_conjunct,[status(thm)],[24])).
% fof(133, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|((~(aDimensionOf0(X1)=aDimensionOf0(X2))|~(aDimensionOf0(X2)=sz00))|sdtasasdt0(X1,X2)=sz0z00)),inference(fof_nnf,[status(thm)],[25])).
% fof(134, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|((~(aDimensionOf0(X3)=aDimensionOf0(X4))|~(aDimensionOf0(X4)=sz00))|sdtasasdt0(X3,X4)=sz0z00)),inference(variable_rename,[status(thm)],[133])).
% cnf(135,plain,(sdtasasdt0(X1,X2)=sz0z00|aDimensionOf0(X2)!=sz00|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[134])).
% fof(150, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[30])).
% fof(151, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(sz0z00,sdtasdt0(X2,X2))),inference(variable_rename,[status(thm)],[150])).
% cnf(152,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[151])).
% fof(163, 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)],[34])).
% fof(164, 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)],[163])).
% fof(165, 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)],[164])).
% cnf(170,plain,(sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[165])).
% cnf(171,plain,(sdtasdt0(X1,sz0z00)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[165])).
% cnf(176,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[36])).
% fof(186, negated_conjecture,((aDimensionOf0(xs)=sz00|?[X1]:((((aVector0(X1)&szszuzczcdt0(aDimensionOf0(X1))=aDimensionOf0(xs))&![X2]:(~(aNaturalNumber0(X2))|sdtlbdtrb0(X1,X2)=sdtlbdtrb0(xs,X2)))&X1=sziznziztdt0(xs))&?[X2]:((((aVector0(X2)&szszuzczcdt0(aDimensionOf0(X2))=aDimensionOf0(xt))&![X3]:(~(aNaturalNumber0(X3))|sdtlbdtrb0(X2,X3)=sdtlbdtrb0(xt,X3)))&X2=sziznziztdt0(xt))&?[X3]:((aScalar0(X3)&X3=sdtlbdtrb0(xs,aDimensionOf0(xs)))&?[X4]:((aScalar0(X4)&X4=sdtlbdtrb0(xt,aDimensionOf0(xt)))&?[X5]:((aScalar0(X5)&X5=sdtasasdt0(X1,X1))&?[X6]:((aScalar0(X6)&X6=sdtasasdt0(X2,X2))&?[X7]:((aScalar0(X7)&X7=sdtasasdt0(X1,X2))&?[X8]:((aScalar0(X8)&X8=sdtasdt0(X3,X3))&?[X9]:((aScalar0(X9)&X9=sdtasdt0(X4,X4))&?[X10]:((aScalar0(X10)&X10=sdtasdt0(X3,X4))&?[X11]:((aScalar0(X11)&X11=sdtasdt0(X5,X9))&?[X12]:((aScalar0(X12)&X12=sdtasdt0(X7,X10))&?[X13]:((aScalar0(X13)&X13=sdtasdt0(X8,X6))&?[X14]:(((((aScalar0(X14)&X14=sdtasdt0(X11,X13))&sdtlseqdt0(sdtasdt0(X7,X7),sdtasdt0(X5,X6)))&sdtlseqdt0(sdtpldt0(X12,X12),sdtpldt0(X11,X13)))&sdtlseqdt0(sdtasdt0(sdtpldt0(X7,X10),sdtpldt0(X7,X10)),sdtasdt0(sdtpldt0(X5,X8),sdtpldt0(X6,X9))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))&~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(fof_nnf,[status(thm)],[42])).
% fof(187, negated_conjecture,((aDimensionOf0(xs)=sz00|?[X15]:((((aVector0(X15)&szszuzczcdt0(aDimensionOf0(X15))=aDimensionOf0(xs))&![X16]:(~(aNaturalNumber0(X16))|sdtlbdtrb0(X15,X16)=sdtlbdtrb0(xs,X16)))&X15=sziznziztdt0(xs))&?[X17]:((((aVector0(X17)&szszuzczcdt0(aDimensionOf0(X17))=aDimensionOf0(xt))&![X18]:(~(aNaturalNumber0(X18))|sdtlbdtrb0(X17,X18)=sdtlbdtrb0(xt,X18)))&X17=sziznziztdt0(xt))&?[X19]:((aScalar0(X19)&X19=sdtlbdtrb0(xs,aDimensionOf0(xs)))&?[X20]:((aScalar0(X20)&X20=sdtlbdtrb0(xt,aDimensionOf0(xt)))&?[X21]:((aScalar0(X21)&X21=sdtasasdt0(X15,X15))&?[X22]:((aScalar0(X22)&X22=sdtasasdt0(X17,X17))&?[X23]:((aScalar0(X23)&X23=sdtasasdt0(X15,X17))&?[X24]:((aScalar0(X24)&X24=sdtasdt0(X19,X19))&?[X25]:((aScalar0(X25)&X25=sdtasdt0(X20,X20))&?[X26]:((aScalar0(X26)&X26=sdtasdt0(X19,X20))&?[X27]:((aScalar0(X27)&X27=sdtasdt0(X21,X25))&?[X28]:((aScalar0(X28)&X28=sdtasdt0(X23,X26))&?[X29]:((aScalar0(X29)&X29=sdtasdt0(X24,X22))&?[X30]:(((((aScalar0(X30)&X30=sdtasdt0(X27,X29))&sdtlseqdt0(sdtasdt0(X23,X23),sdtasdt0(X21,X22)))&sdtlseqdt0(sdtpldt0(X28,X28),sdtpldt0(X27,X29)))&sdtlseqdt0(sdtasdt0(sdtpldt0(X23,X26),sdtpldt0(X23,X26)),sdtasdt0(sdtpldt0(X21,X24),sdtpldt0(X22,X25))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))&~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(variable_rename,[status(thm)],[186])).
% fof(188, negated_conjecture,((aDimensionOf0(xs)=sz00|((((aVector0(esk3_0)&szszuzczcdt0(aDimensionOf0(esk3_0))=aDimensionOf0(xs))&![X16]:(~(aNaturalNumber0(X16))|sdtlbdtrb0(esk3_0,X16)=sdtlbdtrb0(xs,X16)))&esk3_0=sziznziztdt0(xs))&((((aVector0(esk4_0)&szszuzczcdt0(aDimensionOf0(esk4_0))=aDimensionOf0(xt))&![X18]:(~(aNaturalNumber0(X18))|sdtlbdtrb0(esk4_0,X18)=sdtlbdtrb0(xt,X18)))&esk4_0=sziznziztdt0(xt))&((aScalar0(esk5_0)&esk5_0=sdtlbdtrb0(xs,aDimensionOf0(xs)))&((aScalar0(esk6_0)&esk6_0=sdtlbdtrb0(xt,aDimensionOf0(xt)))&((aScalar0(esk7_0)&esk7_0=sdtasasdt0(esk3_0,esk3_0))&((aScalar0(esk8_0)&esk8_0=sdtasasdt0(esk4_0,esk4_0))&((aScalar0(esk9_0)&esk9_0=sdtasasdt0(esk3_0,esk4_0))&((aScalar0(esk10_0)&esk10_0=sdtasdt0(esk5_0,esk5_0))&((aScalar0(esk11_0)&esk11_0=sdtasdt0(esk6_0,esk6_0))&((aScalar0(esk12_0)&esk12_0=sdtasdt0(esk5_0,esk6_0))&((aScalar0(esk13_0)&esk13_0=sdtasdt0(esk7_0,esk11_0))&((aScalar0(esk14_0)&esk14_0=sdtasdt0(esk9_0,esk12_0))&((aScalar0(esk15_0)&esk15_0=sdtasdt0(esk10_0,esk8_0))&(((((aScalar0(esk16_0)&esk16_0=sdtasdt0(esk13_0,esk15_0))&sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0)))&sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0)))&sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))))&~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(skolemize,[status(esa)],[187])).
% fof(189, negated_conjecture,![X16]:![X18]:(((((((~(aNaturalNumber0(X18))|sdtlbdtrb0(esk4_0,X18)=sdtlbdtrb0(xt,X18))&(aVector0(esk4_0)&szszuzczcdt0(aDimensionOf0(esk4_0))=aDimensionOf0(xt)))&esk4_0=sziznziztdt0(xt))&((aScalar0(esk5_0)&esk5_0=sdtlbdtrb0(xs,aDimensionOf0(xs)))&((aScalar0(esk6_0)&esk6_0=sdtlbdtrb0(xt,aDimensionOf0(xt)))&((aScalar0(esk7_0)&esk7_0=sdtasasdt0(esk3_0,esk3_0))&((aScalar0(esk8_0)&esk8_0=sdtasasdt0(esk4_0,esk4_0))&((aScalar0(esk9_0)&esk9_0=sdtasasdt0(esk3_0,esk4_0))&((aScalar0(esk10_0)&esk10_0=sdtasdt0(esk5_0,esk5_0))&((aScalar0(esk11_0)&esk11_0=sdtasdt0(esk6_0,esk6_0))&((aScalar0(esk12_0)&esk12_0=sdtasdt0(esk5_0,esk6_0))&((aScalar0(esk13_0)&esk13_0=sdtasdt0(esk7_0,esk11_0))&((aScalar0(esk14_0)&esk14_0=sdtasdt0(esk9_0,esk12_0))&((aScalar0(esk15_0)&esk15_0=sdtasdt0(esk10_0,esk8_0))&(((((aScalar0(esk16_0)&esk16_0=sdtasdt0(esk13_0,esk15_0))&sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0)))&sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0)))&sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0))))&sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))))))))))))))&(((~(aNaturalNumber0(X16))|sdtlbdtrb0(esk3_0,X16)=sdtlbdtrb0(xs,X16))&(aVector0(esk3_0)&szszuzczcdt0(aDimensionOf0(esk3_0))=aDimensionOf0(xs)))&esk3_0=sziznziztdt0(xs)))|aDimensionOf0(xs)=sz00)&~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(shift_quantors,[status(thm)],[188])).
% fof(190, negated_conjecture,![X16]:![X18]:(((((((~(aNaturalNumber0(X18))|sdtlbdtrb0(esk4_0,X18)=sdtlbdtrb0(xt,X18))|aDimensionOf0(xs)=sz00)&((aVector0(esk4_0)|aDimensionOf0(xs)=sz00)&(szszuzczcdt0(aDimensionOf0(esk4_0))=aDimensionOf0(xt)|aDimensionOf0(xs)=sz00)))&(esk4_0=sziznziztdt0(xt)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk5_0)|aDimensionOf0(xs)=sz00)&(esk5_0=sdtlbdtrb0(xs,aDimensionOf0(xs))|aDimensionOf0(xs)=sz00))&(((aScalar0(esk6_0)|aDimensionOf0(xs)=sz00)&(esk6_0=sdtlbdtrb0(xt,aDimensionOf0(xt))|aDimensionOf0(xs)=sz00))&(((aScalar0(esk7_0)|aDimensionOf0(xs)=sz00)&(esk7_0=sdtasasdt0(esk3_0,esk3_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk8_0)|aDimensionOf0(xs)=sz00)&(esk8_0=sdtasasdt0(esk4_0,esk4_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk9_0)|aDimensionOf0(xs)=sz00)&(esk9_0=sdtasasdt0(esk3_0,esk4_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk10_0)|aDimensionOf0(xs)=sz00)&(esk10_0=sdtasdt0(esk5_0,esk5_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk11_0)|aDimensionOf0(xs)=sz00)&(esk11_0=sdtasdt0(esk6_0,esk6_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk12_0)|aDimensionOf0(xs)=sz00)&(esk12_0=sdtasdt0(esk5_0,esk6_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk13_0)|aDimensionOf0(xs)=sz00)&(esk13_0=sdtasdt0(esk7_0,esk11_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk14_0)|aDimensionOf0(xs)=sz00)&(esk14_0=sdtasdt0(esk9_0,esk12_0)|aDimensionOf0(xs)=sz00))&(((aScalar0(esk15_0)|aDimensionOf0(xs)=sz00)&(esk15_0=sdtasdt0(esk10_0,esk8_0)|aDimensionOf0(xs)=sz00))&((((((aScalar0(esk16_0)|aDimensionOf0(xs)=sz00)&(esk16_0=sdtasdt0(esk13_0,esk15_0)|aDimensionOf0(xs)=sz00))&(sdtlseqdt0(sdtasdt0(esk9_0,esk9_0),sdtasdt0(esk7_0,esk8_0))|aDimensionOf0(xs)=sz00))&(sdtlseqdt0(sdtpldt0(esk14_0,esk14_0),sdtpldt0(esk13_0,esk15_0))|aDimensionOf0(xs)=sz00))&(sdtlseqdt0(sdtasdt0(sdtpldt0(esk9_0,esk12_0),sdtpldt0(esk9_0,esk12_0)),sdtasdt0(sdtpldt0(esk7_0,esk10_0),sdtpldt0(esk8_0,esk11_0)))|aDimensionOf0(xs)=sz00))&(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))|aDimensionOf0(xs)=sz00))))))))))))))&((((~(aNaturalNumber0(X16))|sdtlbdtrb0(esk3_0,X16)=sdtlbdtrb0(xs,X16))|aDimensionOf0(xs)=sz00)&((aVector0(esk3_0)|aDimensionOf0(xs)=sz00)&(szszuzczcdt0(aDimensionOf0(esk3_0))=aDimensionOf0(xs)|aDimensionOf0(xs)=sz00)))&(esk3_0=sziznziztdt0(xs)|aDimensionOf0(xs)=sz00)))&~(sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt))))),inference(distribute,[status(thm)],[189])).
% cnf(191,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),inference(split_conjunct,[status(thm)],[190])).
% cnf(196,negated_conjecture,(aDimensionOf0(xs)=sz00|sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sdtasasdt0(xs,xs),sdtasasdt0(xt,xt)))),inference(split_conjunct,[status(thm)],[190])).
% cnf(232,negated_conjecture,(aDimensionOf0(xs)=sz00),inference(sr,[status(thm)],[196,191,theory(equality)])).
% cnf(258,plain,(aDimensionOf0(xt)=sz00),inference(rw,[status(thm)],[132,232,theory(equality)])).
% cnf(291,plain,(sdtlseqdt0(sz0z00,sz0z00)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[152,170,theory(equality)])).
% cnf(293,plain,(sdtlseqdt0(sz0z00,sz0z00)|$false),inference(rw,[status(thm)],[291,176,theory(equality)])).
% cnf(294,plain,(sdtlseqdt0(sz0z00,sz0z00)),inference(cn,[status(thm)],[293,theory(equality)])).
% cnf(389,negated_conjecture,(sdtasasdt0(X1,xs)=sz0z00|aDimensionOf0(X1)!=sz00|~aVector0(xs)|~aVector0(X1)),inference(spm,[status(thm)],[135,232,theory(equality)])).
% cnf(390,negated_conjecture,(sdtasasdt0(xs,X1)=sz0z00|sz00!=aDimensionOf0(X1)|~aVector0(X1)|~aVector0(xs)),inference(spm,[status(thm)],[135,232,theory(equality)])).
% cnf(391,negated_conjecture,(sdtasasdt0(X1,xs)=sz0z00|aDimensionOf0(X1)!=sz00|$false|~aVector0(X1)),inference(rw,[status(thm)],[389,128,theory(equality)])).
% cnf(392,negated_conjecture,(sdtasasdt0(X1,xs)=sz0z00|aDimensionOf0(X1)!=sz00|~aVector0(X1)),inference(cn,[status(thm)],[391,theory(equality)])).
% cnf(393,negated_conjecture,(sdtasasdt0(xs,X1)=sz0z00|sz00!=aDimensionOf0(X1)|~aVector0(X1)|$false),inference(rw,[status(thm)],[390,128,theory(equality)])).
% cnf(394,negated_conjecture,(sdtasasdt0(xs,X1)=sz0z00|sz00!=aDimensionOf0(X1)|~aVector0(X1)),inference(cn,[status(thm)],[393,theory(equality)])).
% cnf(671,plain,(aScalar0(sdtasasdt0(xt,X1))|sz00!=aDimensionOf0(X1)|~aVector0(X1)|~aVector0(xt)),inference(spm,[status(thm)],[123,258,theory(equality)])).
% cnf(686,plain,(aScalar0(sdtasasdt0(xt,X1))|sz00!=aDimensionOf0(X1)|~aVector0(X1)|$false),inference(rw,[status(thm)],[671,127,theory(equality)])).
% cnf(687,plain,(aScalar0(sdtasasdt0(xt,X1))|sz00!=aDimensionOf0(X1)|~aVector0(X1)),inference(cn,[status(thm)],[686,theory(equality)])).
% cnf(745,plain,(aScalar0(sdtasasdt0(xt,xt))|~aVector0(xt)),inference(spm,[status(thm)],[687,258,theory(equality)])).
% cnf(747,plain,(aScalar0(sdtasasdt0(xt,xt))|$false),inference(rw,[status(thm)],[745,127,theory(equality)])).
% cnf(748,plain,(aScalar0(sdtasasdt0(xt,xt))),inference(cn,[status(thm)],[747,theory(equality)])).
% cnf(781,negated_conjecture,(sdtasasdt0(xs,xs)=sz0z00|~aVector0(xs)),inference(spm,[status(thm)],[392,232,theory(equality)])).
% cnf(784,negated_conjecture,(sdtasasdt0(xs,xs)=sz0z00|$false),inference(rw,[status(thm)],[781,128,theory(equality)])).
% cnf(785,negated_conjecture,(sdtasasdt0(xs,xs)=sz0z00),inference(cn,[status(thm)],[784,theory(equality)])).
% cnf(791,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sdtasdt0(sz0z00,sdtasasdt0(xt,xt)))),inference(rw,[status(thm)],[191,785,theory(equality)])).
% cnf(799,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sz0z00)|~aScalar0(sdtasasdt0(xt,xt))),inference(spm,[status(thm)],[791,170,theory(equality)])).
% cnf(804,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sz0z00)|$false),inference(rw,[status(thm)],[799,748,theory(equality)])).
% cnf(805,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtasasdt0(xs,xt),sdtasasdt0(xs,xt)),sz0z00)),inference(cn,[status(thm)],[804,theory(equality)])).
% cnf(868,negated_conjecture,(sdtasasdt0(xs,xt)=sz0z00|~aVector0(xt)),inference(spm,[status(thm)],[394,258,theory(equality)])).
% cnf(870,negated_conjecture,(sdtasasdt0(xs,xt)=sz0z00|$false),inference(rw,[status(thm)],[868,127,theory(equality)])).
% cnf(871,negated_conjecture,(sdtasasdt0(xs,xt)=sz0z00),inference(cn,[status(thm)],[870,theory(equality)])).
% cnf(876,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sz0z00,sz0z00),sz0z00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[805,871,theory(equality)]),871,theory(equality)])).
% cnf(882,negated_conjecture,(~sdtlseqdt0(sz0z00,sz0z00)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[876,171,theory(equality)])).
% cnf(890,negated_conjecture,($false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[882,294,theory(equality)])).
% cnf(891,negated_conjecture,($false|$false),inference(rw,[status(thm)],[890,176,theory(equality)])).
% cnf(892,negated_conjecture,($false),inference(cn,[status(thm)],[891,theory(equality)])).
% cnf(893,negated_conjecture,($false),892,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 137
% # ...of these trivial : 4
% # ...subsumed : 15
% # ...remaining for further processing: 118
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 13
% # Backward-rewritten : 35
% # Generated clauses : 328
% # ...of the previous two non-trivial : 294
% # Contextual simplify-reflections : 2
% # Paramodulations : 316
% # Factorizations : 2
% # Equation resolutions : 10
% # Current number of processed clauses: 70
% # Positive orientable unit clauses: 11
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 1
% # Non-unit-clauses : 58
% # Current number of unprocessed clauses: 227
% # ...number of literals in the above : 1081
% # Clause-clause subsumption calls (NU) : 291
% # Rec. Clause-clause subsumption calls : 135
% # Unit Clause-clause subsumption calls : 13
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 10
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 90 leaves, 1.46+/-1.266 terms/leaf
% # Paramod-from index: 41 leaves, 1.12+/-0.395 terms/leaf
% # Paramod-into index: 58 leaves, 1.34+/-1.092 terms/leaf
% # -------------------------------------------------
% # User time : 0.030 s
% # System time : 0.006 s
% # Total time : 0.036 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.22 WC
% FINAL PrfWatch: 0.14 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP32673/RNG081+2.tptp
%
%------------------------------------------------------------------------------