TSTP Solution File: RNG079+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG079+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 : art04.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 22:25:44 EST 2010
% Result : Theorem 20.56s
% Output : Solution 20.56s
% 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/SystemOnTPTP30990/RNG079+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30990/RNG079+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30990/RNG079+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 31086
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.88 CPU 8.02 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 9.86 CPU 10.03 WC
% PrfWatch: 11.85 CPU 12.03 WC
% PrfWatch: 13.71 CPU 14.04 WC
% PrfWatch: 15.26 CPU 16.06 WC
% PrfWatch: 17.12 CPU 18.06 WC
% PrfWatch: 19.12 CPU 20.07 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(3, axiom,![X1]:![X2]:![X3]:(((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))=>(((sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))&sdtpldt0(X1,X2)=sdtpldt0(X2,X1))&sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3)))&sdtasdt0(X1,X2)=sdtasdt0(X2,X1))),file('/tmp/SRASS.s.p', mArith)).
% fof(4, axiom,![X1]:![X2]:![X3]:(((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),file('/tmp/SRASS.s.p', mDistr)).
% fof(5, axiom,![X1]:![X2]:![X3]:![X4]:((((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))&aScalar0(X4))=>sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))=sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))),file('/tmp/SRASS.s.p', mDistr2)).
% fof(12, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>(aDimensionOf0(X1)=aDimensionOf0(X2)=>aScalar0(sdtasasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mScPr)).
% fof(13, 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(14, axiom,(aVector0(xs)&aVector0(xt)),file('/tmp/SRASS.s.p', m__1678)).
% fof(16, axiom,aDimensionOf0(xs)=aDimensionOf0(xt),file('/tmp/SRASS.s.p', m__1678_01)).
% fof(17, axiom,~(aDimensionOf0(xs)=sz00),file('/tmp/SRASS.s.p', m__1692)).
% fof(18, axiom,(aVector0(xp)&xp=sziznziztdt0(xs)),file('/tmp/SRASS.s.p', m__1709)).
% fof(19, axiom,(aVector0(xq)&xq=sziznziztdt0(xt)),file('/tmp/SRASS.s.p', m__1726)).
% fof(20, axiom,(aScalar0(xA)&xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),file('/tmp/SRASS.s.p', m__1746)).
% fof(21, axiom,(aScalar0(xB)&xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),file('/tmp/SRASS.s.p', m__1766)).
% fof(22, axiom,(aScalar0(xC)&xC=sdtasasdt0(xp,xp)),file('/tmp/SRASS.s.p', m__1783)).
% fof(23, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(24, axiom,(aScalar0(xE)&xE=sdtasasdt0(xp,xq)),file('/tmp/SRASS.s.p', m__1820)).
% fof(25, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(26, axiom,(aScalar0(xG)&xG=sdtasdt0(xB,xB)),file('/tmp/SRASS.s.p', m__1854)).
% fof(27, axiom,(aScalar0(xH)&xH=sdtasdt0(xA,xB)),file('/tmp/SRASS.s.p', m__1873)).
% fof(28, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(29, axiom,(aScalar0(xP)&xP=sdtasdt0(xE,xH)),file('/tmp/SRASS.s.p', m__1911)).
% fof(30, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(31, axiom,(aScalar0(xN)&xN=sdtasdt0(xR,xS)),file('/tmp/SRASS.s.p', m__1949)).
% fof(36, axiom,sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),file('/tmp/SRASS.s.p', m__2905)).
% fof(42, axiom,![X1]:![X2]:((aVector0(X1)&aNaturalNumber0(X2))=>aScalar0(sdtlbdtrb0(X1,X2))),file('/tmp/SRASS.s.p', mElmSc)).
% fof(46, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>(sdtasdt0(X1,smndt0(X2))=smndt0(sdtasdt0(X1,X2))&sdtasdt0(smndt0(X1),X2)=smndt0(sdtasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mMNeg)).
% fof(48, 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(50, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mZeroNat)).
% fof(55, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(56, axiom,![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))),file('/tmp/SRASS.s.p', mNegSc)).
% fof(61, conjecture,sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),file('/tmp/SRASS.s.p', m__)).
% fof(62, negated_conjecture,~(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(assume_negation,[status(cth)],[61])).
% fof(68, negated_conjecture,~(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(fof_simplification,[status(thm)],[62,theory(equality)])).
% fof(72, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% 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(75, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|(((sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))&sdtpldt0(X1,X2)=sdtpldt0(X2,X1))&sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3)))&sdtasdt0(X1,X2)=sdtasdt0(X2,X1))),inference(fof_nnf,[status(thm)],[3])).
% fof(76, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|(((sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))&sdtpldt0(X4,X5)=sdtpldt0(X5,X4))&sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6)))&sdtasdt0(X4,X5)=sdtasdt0(X5,X4))),inference(variable_rename,[status(thm)],[75])).
% fof(77, plain,![X4]:![X5]:![X6]:((((sdtpldt0(sdtpldt0(X4,X5),X6)=sdtpldt0(X4,sdtpldt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))&(sdtpldt0(X4,X5)=sdtpldt0(X5,X4)|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))))&(sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))))&(sdtasdt0(X4,X5)=sdtasdt0(X5,X4)|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))),inference(distribute,[status(thm)],[76])).
% cnf(78,plain,(sdtasdt0(X3,X2)=sdtasdt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,plain,(sdtasdt0(sdtasdt0(X3,X2),X1)=sdtasdt0(X3,sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[77])).
% cnf(81,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[77])).
% fof(82, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),inference(fof_nnf,[status(thm)],[4])).
% fof(83, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))),inference(variable_rename,[status(thm)],[82])).
% fof(84, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))&(sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))|((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6))))),inference(distribute,[status(thm)],[83])).
% cnf(86,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[84])).
% fof(87, plain,![X1]:![X2]:![X3]:![X4]:((((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|~(aScalar0(X4)))|sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))=sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))),inference(fof_nnf,[status(thm)],[5])).
% fof(88, plain,![X5]:![X6]:![X7]:![X8]:((((~(aScalar0(X5))|~(aScalar0(X6)))|~(aScalar0(X7)))|~(aScalar0(X8)))|sdtasdt0(sdtpldt0(X5,X6),sdtpldt0(X7,X8))=sdtpldt0(sdtpldt0(sdtasdt0(X5,X7),sdtasdt0(X5,X8)),sdtpldt0(sdtasdt0(X6,X7),sdtasdt0(X6,X8)))),inference(variable_rename,[status(thm)],[87])).
% cnf(89,plain,(sdtasdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))=sdtpldt0(sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X1,X4)),sdtpldt0(sdtasdt0(X2,X3),sdtasdt0(X2,X4)))|~aScalar0(X4)|~aScalar0(X3)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[88])).
% fof(108, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|(~(aDimensionOf0(X1)=aDimensionOf0(X2))|aScalar0(sdtasasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[12])).
% fof(109, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|(~(aDimensionOf0(X3)=aDimensionOf0(X4))|aScalar0(sdtasasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[108])).
% cnf(110,plain,(aScalar0(sdtasasdt0(X1,X2))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[109])).
% fof(111, 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)],[13])).
% fof(112, 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)],[111])).
% cnf(113,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)],[112])).
% cnf(114,plain,(aVector0(xt)),inference(split_conjunct,[status(thm)],[14])).
% cnf(115,plain,(aVector0(xs)),inference(split_conjunct,[status(thm)],[14])).
% cnf(119,plain,(aDimensionOf0(xs)=aDimensionOf0(xt)),inference(split_conjunct,[status(thm)],[16])).
% cnf(120,plain,(aDimensionOf0(xs)!=sz00),inference(split_conjunct,[status(thm)],[17])).
% cnf(121,plain,(xp=sziznziztdt0(xs)),inference(split_conjunct,[status(thm)],[18])).
% cnf(123,plain,(xq=sziznziztdt0(xt)),inference(split_conjunct,[status(thm)],[19])).
% cnf(124,plain,(aVector0(xq)),inference(split_conjunct,[status(thm)],[19])).
% cnf(125,plain,(xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),inference(split_conjunct,[status(thm)],[20])).
% cnf(126,plain,(aScalar0(xA)),inference(split_conjunct,[status(thm)],[20])).
% cnf(127,plain,(xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),inference(split_conjunct,[status(thm)],[21])).
% cnf(128,plain,(aScalar0(xB)),inference(split_conjunct,[status(thm)],[21])).
% cnf(130,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[22])).
% cnf(132,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[23])).
% cnf(133,plain,(xE=sdtasasdt0(xp,xq)),inference(split_conjunct,[status(thm)],[24])).
% cnf(134,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[24])).
% cnf(135,plain,(xF=sdtasdt0(xA,xA)),inference(split_conjunct,[status(thm)],[25])).
% cnf(136,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[25])).
% cnf(137,plain,(xG=sdtasdt0(xB,xB)),inference(split_conjunct,[status(thm)],[26])).
% cnf(138,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[26])).
% cnf(139,plain,(xH=sdtasdt0(xA,xB)),inference(split_conjunct,[status(thm)],[27])).
% cnf(140,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[27])).
% cnf(141,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[28])).
% cnf(142,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[28])).
% cnf(143,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[29])).
% cnf(144,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[29])).
% cnf(145,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[30])).
% cnf(146,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[30])).
% cnf(147,plain,(xN=sdtasdt0(xR,xS)),inference(split_conjunct,[status(thm)],[31])).
% cnf(153,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG))))),inference(split_conjunct,[status(thm)],[36])).
% fof(178, plain,![X1]:![X2]:((~(aVector0(X1))|~(aNaturalNumber0(X2)))|aScalar0(sdtlbdtrb0(X1,X2))),inference(fof_nnf,[status(thm)],[42])).
% fof(179, plain,![X3]:![X4]:((~(aVector0(X3))|~(aNaturalNumber0(X4)))|aScalar0(sdtlbdtrb0(X3,X4))),inference(variable_rename,[status(thm)],[178])).
% cnf(180,plain,(aScalar0(sdtlbdtrb0(X1,X2))|~aNaturalNumber0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[179])).
% fof(190, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|(sdtasdt0(X1,smndt0(X2))=smndt0(sdtasdt0(X1,X2))&sdtasdt0(smndt0(X1),X2)=smndt0(sdtasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[46])).
% fof(191, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|(sdtasdt0(X3,smndt0(X4))=smndt0(sdtasdt0(X3,X4))&sdtasdt0(smndt0(X3),X4)=smndt0(sdtasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[190])).
% fof(192, plain,![X3]:![X4]:((sdtasdt0(X3,smndt0(X4))=smndt0(sdtasdt0(X3,X4))|(~(aScalar0(X3))|~(aScalar0(X4))))&(sdtasdt0(smndt0(X3),X4)=smndt0(sdtasdt0(X3,X4))|(~(aScalar0(X3))|~(aScalar0(X4))))),inference(distribute,[status(thm)],[191])).
% cnf(194,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[192])).
% fof(198, 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)],[48])).
% fof(199, 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)],[198])).
% fof(200, 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)],[199])).
% cnf(202,plain,(smndt0(smndt0(X1))=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(203,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(204,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(206,plain,(sdtasdt0(X1,sz0z00)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(207,plain,(sdtpldt0(sz0z00,X1)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(208,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[200])).
% cnf(211,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[50])).
% cnf(228,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[55])).
% fof(229, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[56])).
% fof(230, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[229])).
% cnf(231,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(241,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(split_conjunct,[status(thm)],[68])).
% cnf(242,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[153,143,theory(equality)]),141,theory(equality)]),145,theory(equality)])).
% cnf(264,plain,(sdtlbdtrb0(xt,aDimensionOf0(xs))=xB),inference(rw,[status(thm)],[127,119,theory(equality)])).
% cnf(455,plain,(sdtasdt0(xH,xE)=xP|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[143,78,theory(equality)])).
% cnf(498,plain,(sdtasdt0(xH,xE)=xP|$false|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[455,134,theory(equality)])).
% cnf(499,plain,(sdtasdt0(xH,xE)=xP|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[498,140,theory(equality)])).
% cnf(500,plain,(sdtasdt0(xH,xE)=xP|~aScalar0(X1)),inference(cn,[status(thm)],[499,theory(equality)])).
% cnf(565,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[202,194,theory(equality)])).
% cnf(572,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[194,147,theory(equality)])).
% cnf(573,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[194,145,theory(equality)])).
% cnf(576,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))|~aScalar0(xB)),inference(spm,[status(thm)],[194,137,theory(equality)])).
% cnf(577,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|~aScalar0(xA)|~aScalar0(xB)),inference(spm,[status(thm)],[194,139,theory(equality)])).
% cnf(584,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[572,142,theory(equality)])).
% cnf(585,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|$false),inference(rw,[status(thm)],[584,146,theory(equality)])).
% cnf(586,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))),inference(cn,[status(thm)],[585,theory(equality)])).
% cnf(587,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[573,136,theory(equality)])).
% cnf(588,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[587,132,theory(equality)])).
% cnf(589,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[588,theory(equality)])).
% cnf(596,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))|$false),inference(rw,[status(thm)],[576,128,theory(equality)])).
% cnf(597,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))),inference(cn,[status(thm)],[596,theory(equality)])).
% cnf(598,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|$false|~aScalar0(xB)),inference(rw,[status(thm)],[577,126,theory(equality)])).
% cnf(599,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|$false|$false),inference(rw,[status(thm)],[598,128,theory(equality)])).
% cnf(600,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))),inference(cn,[status(thm)],[599,theory(equality)])).
% cnf(683,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(xt)|~aVector0(X1)),inference(spm,[status(thm)],[110,119,theory(equality)])).
% cnf(685,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|$false|~aVector0(X1)),inference(rw,[status(thm)],[683,114,theory(equality)])).
% cnf(686,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(cn,[status(thm)],[685,theory(equality)])).
% cnf(730,plain,(sdtpldt0(sz0z00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aScalar0(smndt0(X1))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[81,203,theory(equality)])).
% cnf(768,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X3,sdtasdt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[78,79,theory(equality)])).
% cnf(774,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aScalar0(sdtasdt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[78,79,theory(equality)])).
% cnf(780,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[79,143,theory(equality)])).
% cnf(783,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(spm,[status(thm)],[79,139,theory(equality)])).
% cnf(784,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|~aScalar0(xA)|~aScalar0(X1)),inference(spm,[status(thm)],[79,135,theory(equality)])).
% cnf(798,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|$false|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[780,134,theory(equality)])).
% cnf(799,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[798,140,theory(equality)])).
% cnf(800,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[799,theory(equality)])).
% cnf(806,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|$false|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[783,126,theory(equality)])).
% cnf(807,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[806,128,theory(equality)])).
% cnf(808,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[807,theory(equality)])).
% cnf(809,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|$false|~aScalar0(X1)),inference(rw,[status(thm)],[784,126,theory(equality)])).
% cnf(810,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[809,theory(equality)])).
% cnf(830,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|~aScalar0(xE)|~aScalar0(X1)|~aScalar0(xH)),inference(spm,[status(thm)],[86,143,theory(equality)])).
% cnf(842,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|~aScalar0(xF)|~aScalar0(xD)|~aScalar0(X1)),inference(spm,[status(thm)],[86,145,theory(equality)])).
% cnf(849,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|~aScalar0(sz0z00)|~aScalar0(X2)),inference(spm,[status(thm)],[86,206,theory(equality)])).
% cnf(850,plain,(sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X4)),inference(spm,[status(thm)],[86,78,theory(equality)])).
% cnf(866,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(xH)),inference(rw,[status(thm)],[830,134,theory(equality)])).
% cnf(867,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[866,140,theory(equality)])).
% cnf(868,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|~aScalar0(X1)),inference(cn,[status(thm)],[867,theory(equality)])).
% cnf(886,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|$false|~aScalar0(xD)|~aScalar0(X1)),inference(rw,[status(thm)],[842,136,theory(equality)])).
% cnf(887,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[886,132,theory(equality)])).
% cnf(888,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[887,theory(equality)])).
% cnf(902,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|$false|~aScalar0(X2)),inference(rw,[status(thm)],[849,228,theory(equality)])).
% cnf(903,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[902,theory(equality)])).
% cnf(1049,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|~aScalar0(xD)|~aScalar0(xF)|~aScalar0(X1)),inference(spm,[status(thm)],[89,145,theory(equality)])).
% cnf(1067,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|~aScalar0(xH)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(xE)),inference(spm,[status(thm)],[89,143,theory(equality)])).
% cnf(1121,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|$false|~aScalar0(xF)|~aScalar0(X1)),inference(rw,[status(thm)],[1049,132,theory(equality)])).
% cnf(1122,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1121,136,theory(equality)])).
% cnf(1123,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(cn,[status(thm)],[1122,theory(equality)])).
% cnf(1147,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(xE)),inference(rw,[status(thm)],[1067,140,theory(equality)])).
% cnf(1148,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[1147,134,theory(equality)])).
% cnf(1149,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[1148,theory(equality)])).
% cnf(1196,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)],[113,119,theory(equality)])).
% cnf(1198,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)],[1196,123,theory(equality)]),264,theory(equality)])).
% cnf(1199,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|$false|~aVector0(X1)),inference(rw,[status(thm)],[1198,114,theory(equality)])).
% cnf(1200,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(cn,[status(thm)],[1199,theory(equality)])).
% cnf(1201,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(sr,[status(thm)],[1200,120,theory(equality)])).
% cnf(1438,plain,(sdtasdt0(xH,xE)=xP|~aNaturalNumber0(X2)|~aVector0(X1)),inference(spm,[status(thm)],[500,180,theory(equality)])).
% cnf(1480,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|~aScalar0(xF)),inference(spm,[status(thm)],[74,589,theory(equality)])).
% cnf(1492,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|$false),inference(rw,[status(thm)],[1480,136,theory(equality)])).
% cnf(1493,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))),inference(cn,[status(thm)],[1492,theory(equality)])).
% cnf(1915,plain,(sdtasdt0(xH,xE)=xP|~aVector0(X1)),inference(spm,[status(thm)],[1438,211,theory(equality)])).
% cnf(1918,plain,(sdtasdt0(xH,xE)=xP),inference(spm,[status(thm)],[1915,124,theory(equality)])).
% cnf(1925,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|~aScalar0(xH)|~aScalar0(xE)|~aScalar0(X1)),inference(spm,[status(thm)],[79,1918,theory(equality)])).
% cnf(1935,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))),inference(rw,[status(thm)],[242,1918,theory(equality)])).
% cnf(1947,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|$false|~aScalar0(xE)|~aScalar0(X1)),inference(rw,[status(thm)],[1925,140,theory(equality)])).
% cnf(1948,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1947,134,theory(equality)])).
% cnf(1949,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[1948,theory(equality)])).
% cnf(2902,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xH)),inference(spm,[status(thm)],[800,206,theory(equality)])).
% cnf(2931,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[2902,228,theory(equality)])).
% cnf(2932,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|$false|$false),inference(rw,[status(thm)],[2931,140,theory(equality)])).
% cnf(2933,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)),inference(cn,[status(thm)],[2932,theory(equality)])).
% cnf(3004,plain,(sdtasdt0(xE,sz0z00)=sz0z00|~aScalar0(xP)),inference(spm,[status(thm)],[206,2933,theory(equality)])).
% cnf(3048,plain,(sdtasdt0(xE,sz0z00)=sz0z00|$false),inference(rw,[status(thm)],[3004,144,theory(equality)])).
% cnf(3049,plain,(sdtasdt0(xE,sz0z00)=sz0z00),inference(cn,[status(thm)],[3048,theory(equality)])).
% cnf(4630,plain,(sdtasdt0(xH,sz0z00)=sdtasdt0(xP,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xE)),inference(spm,[status(thm)],[1949,206,theory(equality)])).
% cnf(4661,plain,(sdtasdt0(xH,sz0z00)=sz0z00|~aScalar0(sz0z00)|~aScalar0(xE)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4630,2933,theory(equality)]),3049,theory(equality)])).
% cnf(4662,plain,(sdtasdt0(xH,sz0z00)=sz0z00|$false|~aScalar0(xE)),inference(rw,[status(thm)],[4661,228,theory(equality)])).
% cnf(4663,plain,(sdtasdt0(xH,sz0z00)=sz0z00|$false|$false),inference(rw,[status(thm)],[4662,134,theory(equality)])).
% cnf(4664,plain,(sdtasdt0(xH,sz0z00)=sz0z00),inference(cn,[status(thm)],[4663,theory(equality)])).
% cnf(5323,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))|~aScalar0(xB)),inference(spm,[status(thm)],[74,597,theory(equality)])).
% cnf(5335,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))|$false),inference(rw,[status(thm)],[5323,128,theory(equality)])).
% cnf(5336,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))),inference(cn,[status(thm)],[5335,theory(equality)])).
% cnf(5383,plain,(aScalar0(smndt0(xG))|~aScalar0(xB)),inference(spm,[status(thm)],[5336,231,theory(equality)])).
% cnf(5384,plain,(aScalar0(smndt0(xG))|$false),inference(rw,[status(thm)],[5383,128,theory(equality)])).
% cnf(5385,plain,(aScalar0(smndt0(xG))),inference(cn,[status(thm)],[5384,theory(equality)])).
% cnf(5389,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))|~aScalar0(xA)),inference(spm,[status(thm)],[74,600,theory(equality)])).
% cnf(5401,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))|$false),inference(rw,[status(thm)],[5389,126,theory(equality)])).
% cnf(5402,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))),inference(cn,[status(thm)],[5401,theory(equality)])).
% cnf(5425,plain,(aScalar0(smndt0(xH))|~aScalar0(xB)),inference(spm,[status(thm)],[5402,231,theory(equality)])).
% cnf(5426,plain,(aScalar0(smndt0(xH))|$false),inference(rw,[status(thm)],[5425,128,theory(equality)])).
% cnf(5427,plain,(aScalar0(smndt0(xH))),inference(cn,[status(thm)],[5426,theory(equality)])).
% cnf(5712,plain,(aScalar0(smndt0(xS))|~aScalar0(xD)),inference(spm,[status(thm)],[1493,231,theory(equality)])).
% cnf(5713,plain,(aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[5712,132,theory(equality)])).
% cnf(5714,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[5713,theory(equality)])).
% cnf(6824,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|~aScalar0(sz0z00)|~aScalar0(xE)),inference(spm,[status(thm)],[868,206,theory(equality)])).
% cnf(6839,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|$false|~aScalar0(xE)),inference(rw,[status(thm)],[6824,228,theory(equality)])).
% cnf(6840,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|$false|$false),inference(rw,[status(thm)],[6839,134,theory(equality)])).
% cnf(6841,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))),inference(cn,[status(thm)],[6840,theory(equality)])).
% cnf(6913,plain,(sdtasdt0(xE,xH)=sdtpldt0(sz0z00,xP)|~aScalar0(xH)),inference(spm,[status(thm)],[6841,207,theory(equality)])).
% cnf(6938,plain,(xP=sdtpldt0(sz0z00,xP)|~aScalar0(xH)),inference(rw,[status(thm)],[6913,143,theory(equality)])).
% cnf(6939,plain,(xP=sdtpldt0(sz0z00,xP)|$false),inference(rw,[status(thm)],[6938,140,theory(equality)])).
% cnf(6940,plain,(xP=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[6939,theory(equality)])).
% cnf(17397,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[565,74])).
% cnf(17446,plain,(smndt0(smndt0(xG))=sdtasdt0(xB,xB)|~aScalar0(xB)),inference(spm,[status(thm)],[17397,597,theory(equality)])).
% cnf(17447,plain,(smndt0(smndt0(xH))=sdtasdt0(xA,xB)|~aScalar0(xA)|~aScalar0(xB)),inference(spm,[status(thm)],[17397,600,theory(equality)])).
% cnf(17565,plain,(smndt0(smndt0(xG))=xG|~aScalar0(xB)),inference(rw,[status(thm)],[17446,137,theory(equality)])).
% cnf(17566,plain,(smndt0(smndt0(xG))=xG|$false),inference(rw,[status(thm)],[17565,128,theory(equality)])).
% cnf(17567,plain,(smndt0(smndt0(xG))=xG),inference(cn,[status(thm)],[17566,theory(equality)])).
% cnf(17568,plain,(smndt0(smndt0(xH))=xH|~aScalar0(xA)|~aScalar0(xB)),inference(rw,[status(thm)],[17447,139,theory(equality)])).
% cnf(17569,plain,(smndt0(smndt0(xH))=xH|$false|~aScalar0(xB)),inference(rw,[status(thm)],[17568,126,theory(equality)])).
% cnf(17570,plain,(smndt0(smndt0(xH))=xH|$false|$false),inference(rw,[status(thm)],[17569,128,theory(equality)])).
% cnf(17571,plain,(smndt0(smndt0(xH))=xH),inference(cn,[status(thm)],[17570,theory(equality)])).
% cnf(17576,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00|~aScalar0(smndt0(xG))),inference(spm,[status(thm)],[204,17567,theory(equality)])).
% cnf(17589,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00|$false),inference(rw,[status(thm)],[17576,5385,theory(equality)])).
% cnf(17590,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00),inference(cn,[status(thm)],[17589,theory(equality)])).
% cnf(17648,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00|~aScalar0(smndt0(xH))),inference(spm,[status(thm)],[204,17571,theory(equality)])).
% cnf(17660,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00|$false),inference(rw,[status(thm)],[17648,5427,theory(equality)])).
% cnf(17661,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00),inference(cn,[status(thm)],[17660,theory(equality)])).
% cnf(21952,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|~aScalar0(xR)),inference(spm,[status(thm)],[74,586,theory(equality)])).
% cnf(21972,plain,(aScalar0(smndt0(xN))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[21952,5714,theory(equality)])).
% cnf(21973,plain,(aScalar0(smndt0(xN))|$false|$false),inference(rw,[status(thm)],[21972,142,theory(equality)])).
% cnf(21974,plain,(aScalar0(smndt0(xN))),inference(cn,[status(thm)],[21973,theory(equality)])).
% cnf(38625,plain,(aScalar0(sdtasasdt0(xs,xt))|~aVector0(xs)),inference(er,[status(thm)],[686,theory(equality)])).
% cnf(38627,plain,(aScalar0(sdtasasdt0(xs,xt))|$false),inference(rw,[status(thm)],[38625,115,theory(equality)])).
% cnf(38628,plain,(aScalar0(sdtasasdt0(xs,xt))),inference(cn,[status(thm)],[38627,theory(equality)])).
% cnf(53320,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[730,231])).
% cnf(53350,plain,(sdtpldt0(smndt0(smndt0(xH)),sz0z00)=sdtpldt0(sz0z00,xH)|~aScalar0(smndt0(xH))|~aScalar0(xH)),inference(spm,[status(thm)],[53320,17661,theory(equality)])).
% cnf(53351,plain,(sdtpldt0(smndt0(smndt0(xG)),sz0z00)=sdtpldt0(sz0z00,xG)|~aScalar0(smndt0(xG))|~aScalar0(xG)),inference(spm,[status(thm)],[53320,17590,theory(equality)])).
% cnf(53487,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|~aScalar0(smndt0(xH))|~aScalar0(xH)),inference(rw,[status(thm)],[53350,17571,theory(equality)])).
% cnf(53488,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[53487,5427,theory(equality)])).
% cnf(53489,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|$false|$false),inference(rw,[status(thm)],[53488,140,theory(equality)])).
% cnf(53490,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)),inference(cn,[status(thm)],[53489,theory(equality)])).
% cnf(53491,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|~aScalar0(smndt0(xG))|~aScalar0(xG)),inference(rw,[status(thm)],[53351,17567,theory(equality)])).
% cnf(53492,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|$false|~aScalar0(xG)),inference(rw,[status(thm)],[53491,5385,theory(equality)])).
% cnf(53493,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|$false|$false),inference(rw,[status(thm)],[53492,138,theory(equality)])).
% cnf(53494,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)),inference(cn,[status(thm)],[53493,theory(equality)])).
% cnf(55556,plain,(sdtpldt0(sz0z00,xH)=xH|~aScalar0(xH)),inference(spm,[status(thm)],[208,53490,theory(equality)])).
% cnf(55591,plain,(sdtpldt0(sz0z00,xH)=xH|$false),inference(rw,[status(thm)],[55556,140,theory(equality)])).
% cnf(55592,plain,(sdtpldt0(sz0z00,xH)=xH),inference(cn,[status(thm)],[55591,theory(equality)])).
% cnf(55862,plain,(sdtpldt0(sz0z00,xG)=xG|~aScalar0(xG)),inference(spm,[status(thm)],[208,53494,theory(equality)])).
% cnf(55896,plain,(sdtpldt0(sz0z00,xG)=xG|$false),inference(rw,[status(thm)],[55862,138,theory(equality)])).
% cnf(55897,plain,(sdtpldt0(sz0z00,xG)=xG),inference(cn,[status(thm)],[55896,theory(equality)])).
% cnf(66284,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X3,sdtasdt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[768,74])).
% cnf(79634,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aScalar0(sdtasdt0(X2,X3))|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(csr,[status(thm)],[774,66284])).
% cnf(79635,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[79634,74])).
% cnf(91140,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)|~aScalar0(xB)),inference(spm,[status(thm)],[808,137,theory(equality)])).
% cnf(91244,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)|$false),inference(rw,[status(thm)],[91140,128,theory(equality)])).
% cnf(91245,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)),inference(cn,[status(thm)],[91244,theory(equality)])).
% cnf(114686,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)|~aScalar0(xG)),inference(spm,[status(thm)],[810,91245,theory(equality)])).
% cnf(114793,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)|$false),inference(rw,[status(thm)],[114686,138,theory(equality)])).
% cnf(114794,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)),inference(cn,[status(thm)],[114793,theory(equality)])).
% cnf(147663,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|~aScalar0(xA)|~aScalar0(xH)|~aScalar0(xB)),inference(spm,[status(thm)],[79635,114794,theory(equality)])).
% cnf(147804,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|~aScalar0(xH)|~aScalar0(xB)),inference(rw,[status(thm)],[147663,126,theory(equality)])).
% cnf(147805,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|$false|~aScalar0(xB)),inference(rw,[status(thm)],[147804,140,theory(equality)])).
% cnf(147806,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|$false|$false),inference(rw,[status(thm)],[147805,128,theory(equality)])).
% cnf(147807,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))),inference(cn,[status(thm)],[147806,theory(equality)])).
% cnf(168588,plain,(sdtasdt0(xH,sdtasdt0(xA,xB))=sdtasdt0(xF,xG)|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(spm,[status(thm)],[147807,78,theory(equality)])).
% cnf(168710,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[168588,139,theory(equality)])).
% cnf(168711,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|$false|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[168710,126,theory(equality)])).
% cnf(168712,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[168711,128,theory(equality)])).
% cnf(168713,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|~aScalar0(X1)),inference(cn,[status(thm)],[168712,theory(equality)])).
% cnf(168773,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,xH)),inference(spm,[status(thm)],[168713,21974,theory(equality)])).
% cnf(169031,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(sz0z00,xG))|~aScalar0(xF)|~aScalar0(xG)),inference(spm,[status(thm)],[903,168773,theory(equality)])).
% cnf(169060,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))|~aScalar0(xG)),inference(spm,[status(thm)],[888,168773,theory(equality)])).
% cnf(169134,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|~aScalar0(xF)|~aScalar0(xG)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[169031,55897,theory(equality)]),168773,theory(equality)])).
% cnf(169135,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|$false|~aScalar0(xG)),inference(rw,[status(thm)],[169134,136,theory(equality)])).
% cnf(169136,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|$false|$false),inference(rw,[status(thm)],[169135,138,theory(equality)])).
% cnf(169137,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)),inference(cn,[status(thm)],[169136,theory(equality)])).
% cnf(169218,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))|$false),inference(rw,[status(thm)],[169060,138,theory(equality)])).
% cnf(169219,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))),inference(cn,[status(thm)],[169218,theory(equality)])).
% cnf(309811,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|~aScalar0(xG)|~aScalar0(xC)),inference(spm,[status(thm)],[1123,141,theory(equality)])).
% cnf(311066,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|~aScalar0(xG)|~aScalar0(xC)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[309811,168773,theory(equality)]),169219,theory(equality)])).
% cnf(311067,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|$false|~aScalar0(xC)),inference(rw,[status(thm)],[311066,138,theory(equality)])).
% cnf(311068,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|$false|$false),inference(rw,[status(thm)],[311067,130,theory(equality)])).
% cnf(311069,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),inference(cn,[status(thm)],[311068,theory(equality)])).
% cnf(388006,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,sz0z00),xP),sdtpldt0(sz0z00,sdtasdt0(xH,xH)))=sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(sz0z00,xH))|~aScalar0(sz0z00)|~aScalar0(xH)),inference(spm,[status(thm)],[1149,4664,theory(equality)])).
% cnf(388883,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(sz0z00,xH))|~aScalar0(sz0z00)|~aScalar0(xH)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[388006,3049,theory(equality)]),6940,theory(equality)]),169137,theory(equality)])).
% cnf(388884,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|~aScalar0(sz0z00)|~aScalar0(xH)),inference(rw,[status(thm)],[388883,55592,theory(equality)])).
% cnf(388885,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[388884,228,theory(equality)])).
% cnf(388886,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|$false|$false),inference(rw,[status(thm)],[388885,140,theory(equality)])).
% cnf(388887,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)),inference(cn,[status(thm)],[388886,theory(equality)])).
% cnf(542801,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))=sdtasasdt0(xs,xt)|~aVector0(xs)),inference(er,[status(thm)],[1201,theory(equality)])).
% cnf(542804,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)],[542801,121,theory(equality)]),133,theory(equality)]),125,theory(equality)]),139,theory(equality)])).
% cnf(542805,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)|$false),inference(rw,[status(thm)],[542804,115,theory(equality)])).
% cnf(542806,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)),inference(cn,[status(thm)],[542805,theory(equality)])).
% cnf(542812,plain,(aScalar0(sdtpldt0(xE,xH))),inference(rw,[status(thm)],[38628,542806,theory(equality)])).
% cnf(706925,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[1935,388887,theory(equality)]),168773,theory(equality)]),169219,theory(equality)]),311069,theory(equality)])).
% cnf(706947,plain,(sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~aScalar0(xE)),inference(spm,[status(thm)],[706925,868,theory(equality)])).
% cnf(707002,plain,(sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false),inference(rw,[status(thm)],[706947,134,theory(equality)])).
% cnf(707003,plain,(sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(cn,[status(thm)],[707002,theory(equality)])).
% cnf(707940,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~aScalar0(sdtpldt0(xE,xH))|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[707003,850,theory(equality)])).
% cnf(707990,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[707940,542812,theory(equality)])).
% cnf(707991,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false|$false|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[707990,134,theory(equality)])).
% cnf(707992,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[707991,140,theory(equality)])).
% cnf(707993,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~aScalar0(X1)),inference(cn,[status(thm)],[707992,theory(equality)])).
% cnf(707994,plain,(~aScalar0(X1)),inference(sr,[status(thm)],[707993,241,theory(equality)])).
% cnf(708017,plain,($false),inference(sr,[status(thm)],[130,707994,theory(equality)])).
% cnf(708018,plain,($false),708017,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4722
% # ...of these trivial : 752
% # ...subsumed : 170
% # ...remaining for further processing: 3800
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 99
% # Backward-rewritten : 1500
% # Generated clauses : 224362
% # ...of the previous two non-trivial : 211232
% # Contextual simplify-reflections : 165
% # Paramodulations : 224191
% # Factorizations : 2
% # Equation resolutions : 27
% # Current number of processed clauses: 2059
% # Positive orientable unit clauses: 1614
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 442
% # Current number of unprocessed clauses: 164862
% # ...number of literals in the above : 556222
% # Clause-clause subsumption calls (NU) : 21466
% # Rec. Clause-clause subsumption calls : 9802
% # Unit Clause-clause subsumption calls : 565
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 19842
% # Indexed BW rewrite successes : 654
% # Backwards rewriting index: 2206 leaves, 1.75+/-3.331 terms/leaf
% # Paramod-from index: 802 leaves, 2.34+/-5.150 terms/leaf
% # Paramod-into index: 1865 leaves, 1.82+/-3.561 terms/leaf
% # -------------------------------------------------
% # User time : 9.247 s
% # System time : 0.416 s
% # Total time : 9.663 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.63 CPU 20.60 WC
% FINAL PrfWatch: 19.63 CPU 20.60 WC
% SZS output end Solution for /tmp/SystemOnTPTP30990/RNG079+1.tptp
%
%------------------------------------------------------------------------------