TSTP Solution File: RNG079+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG079+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 : art09.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 22:26:46 EST 2010
% Result : Theorem 20.77s
% Output : Solution 20.77s
% 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/SystemOnTPTP31044/RNG079+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP31044/RNG079+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP31044/RNG079+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 31140
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.91 CPU 2.01 WC
% PrfWatch: 3.90 CPU 4.01 WC
% PrfWatch: 5.89 CPU 6.02 WC
% PrfWatch: 7.57 CPU 8.02 WC
% PrfWatch: 9.16 CPU 10.04 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 11.13 CPU 12.05 WC
% PrfWatch: 13.12 CPU 14.05 WC
% PrfWatch: 15.11 CPU 16.06 WC
% PrfWatch: 17.11 CPU 18.06 WC
% PrfWatch: 19.10 CPU 20.07 WC
% # SZS output start CNFRefutation.
% fof(7, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(8, 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(9, 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(10, 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(16, axiom,![X1]:(aVector0(X1)=>aNaturalNumber0(aDimensionOf0(X1))),file('/tmp/SRASS.s.p', mDimNat)).
% fof(17, axiom,![X1]:![X2]:((aVector0(X1)&aNaturalNumber0(X2))=>aScalar0(sdtlbdtrb0(X1,X2))),file('/tmp/SRASS.s.p', mElmSc)).
% fof(20, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>(aDimensionOf0(X1)=aDimensionOf0(X2)=>aScalar0(sdtasasdt0(X1,X2)))),file('/tmp/SRASS.s.p', mScPr)).
% fof(21, axiom,![X1]:![X2]:((aVector0(X1)&aVector0(X2))=>((aDimensionOf0(X1)=aDimensionOf0(X2)&~(aDimensionOf0(X2)=sz00))=>sdtasasdt0(X1,X2)=sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))))),file('/tmp/SRASS.s.p', mDefSPN)).
% fof(22, axiom,(aVector0(xs)&aVector0(xt)),file('/tmp/SRASS.s.p', m__1678)).
% fof(24, axiom,aDimensionOf0(xs)=aDimensionOf0(xt),file('/tmp/SRASS.s.p', m__1678_01)).
% fof(25, axiom,~(aDimensionOf0(xs)=sz00),file('/tmp/SRASS.s.p', m__1692)).
% fof(26, axiom,(((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&![X1]:(aNaturalNumber0(X1)=>sdtlbdtrb0(xp,X1)=sdtlbdtrb0(xs,X1)))&xp=sziznziztdt0(xs)),file('/tmp/SRASS.s.p', m__1709)).
% fof(27, axiom,(((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&![X1]:(aNaturalNumber0(X1)=>sdtlbdtrb0(xq,X1)=sdtlbdtrb0(xt,X1)))&xq=sziznziztdt0(xt)),file('/tmp/SRASS.s.p', m__1726)).
% fof(28, axiom,(aScalar0(xA)&xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),file('/tmp/SRASS.s.p', m__1746)).
% fof(29, axiom,(aScalar0(xB)&xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),file('/tmp/SRASS.s.p', m__1766)).
% fof(30, axiom,(aScalar0(xC)&xC=sdtasasdt0(xp,xp)),file('/tmp/SRASS.s.p', m__1783)).
% fof(31, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(32, axiom,(aScalar0(xE)&xE=sdtasasdt0(xp,xq)),file('/tmp/SRASS.s.p', m__1820)).
% fof(33, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(34, axiom,(aScalar0(xG)&xG=sdtasdt0(xB,xB)),file('/tmp/SRASS.s.p', m__1854)).
% fof(35, axiom,(aScalar0(xH)&xH=sdtasdt0(xA,xB)),file('/tmp/SRASS.s.p', m__1873)).
% fof(36, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(37, axiom,(aScalar0(xP)&xP=sdtasdt0(xE,xH)),file('/tmp/SRASS.s.p', m__1911)).
% fof(38, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(39, axiom,(aScalar0(xN)&xN=sdtasdt0(xR,xS)),file('/tmp/SRASS.s.p', m__1949)).
% fof(44, 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(52, 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(54, 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(56, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(57, 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(90, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(91, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[90])).
% cnf(92,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[91])).
% fof(93, 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)],[8])).
% fof(94, 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)],[93])).
% fof(95, 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)],[94])).
% cnf(96,plain,(sdtasdt0(X3,X2)=sdtasdt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[95])).
% cnf(97,plain,(sdtasdt0(sdtasdt0(X3,X2),X1)=sdtasdt0(X3,sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[95])).
% cnf(99,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[95])).
% fof(100, 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)],[9])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% cnf(104,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[102])).
% fof(105, 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)],[10])).
% fof(106, 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)],[105])).
% cnf(107,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)],[106])).
% fof(123, plain,![X1]:(~(aVector0(X1))|aNaturalNumber0(aDimensionOf0(X1))),inference(fof_nnf,[status(thm)],[16])).
% fof(124, plain,![X2]:(~(aVector0(X2))|aNaturalNumber0(aDimensionOf0(X2))),inference(variable_rename,[status(thm)],[123])).
% cnf(125,plain,(aNaturalNumber0(aDimensionOf0(X1))|~aVector0(X1)),inference(split_conjunct,[status(thm)],[124])).
% fof(126, plain,![X1]:![X2]:((~(aVector0(X1))|~(aNaturalNumber0(X2)))|aScalar0(sdtlbdtrb0(X1,X2))),inference(fof_nnf,[status(thm)],[17])).
% fof(127, plain,![X3]:![X4]:((~(aVector0(X3))|~(aNaturalNumber0(X4)))|aScalar0(sdtlbdtrb0(X3,X4))),inference(variable_rename,[status(thm)],[126])).
% cnf(128,plain,(aScalar0(sdtlbdtrb0(X1,X2))|~aNaturalNumber0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(142, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|(~(aDimensionOf0(X1)=aDimensionOf0(X2))|aScalar0(sdtasasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[20])).
% fof(143, plain,![X3]:![X4]:((~(aVector0(X3))|~(aVector0(X4)))|(~(aDimensionOf0(X3)=aDimensionOf0(X4))|aScalar0(sdtasasdt0(X3,X4)))),inference(variable_rename,[status(thm)],[142])).
% cnf(144,plain,(aScalar0(sdtasasdt0(X1,X2))|aDimensionOf0(X1)!=aDimensionOf0(X2)|~aVector0(X2)|~aVector0(X1)),inference(split_conjunct,[status(thm)],[143])).
% fof(145, plain,![X1]:![X2]:((~(aVector0(X1))|~(aVector0(X2)))|((~(aDimensionOf0(X1)=aDimensionOf0(X2))|aDimensionOf0(X2)=sz00)|sdtasasdt0(X1,X2)=sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(X2)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(X2,aDimensionOf0(X2)))))),inference(fof_nnf,[status(thm)],[21])).
% fof(146, 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)],[145])).
% cnf(147,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)],[146])).
% cnf(148,plain,(aVector0(xt)),inference(split_conjunct,[status(thm)],[22])).
% cnf(149,plain,(aVector0(xs)),inference(split_conjunct,[status(thm)],[22])).
% cnf(153,plain,(aDimensionOf0(xs)=aDimensionOf0(xt)),inference(split_conjunct,[status(thm)],[24])).
% cnf(154,plain,(aDimensionOf0(xs)!=sz00),inference(split_conjunct,[status(thm)],[25])).
% fof(155, plain,(((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&![X1]:(~(aNaturalNumber0(X1))|sdtlbdtrb0(xp,X1)=sdtlbdtrb0(xs,X1)))&xp=sziznziztdt0(xs)),inference(fof_nnf,[status(thm)],[26])).
% fof(156, plain,(((aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs))&![X2]:(~(aNaturalNumber0(X2))|sdtlbdtrb0(xp,X2)=sdtlbdtrb0(xs,X2)))&xp=sziznziztdt0(xs)),inference(variable_rename,[status(thm)],[155])).
% fof(157, plain,![X2]:(((~(aNaturalNumber0(X2))|sdtlbdtrb0(xp,X2)=sdtlbdtrb0(xs,X2))&(aVector0(xp)&szszuzczcdt0(aDimensionOf0(xp))=aDimensionOf0(xs)))&xp=sziznziztdt0(xs)),inference(shift_quantors,[status(thm)],[156])).
% cnf(158,plain,(xp=sziznziztdt0(xs)),inference(split_conjunct,[status(thm)],[157])).
% fof(162, plain,(((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&![X1]:(~(aNaturalNumber0(X1))|sdtlbdtrb0(xq,X1)=sdtlbdtrb0(xt,X1)))&xq=sziznziztdt0(xt)),inference(fof_nnf,[status(thm)],[27])).
% fof(163, plain,(((aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt))&![X2]:(~(aNaturalNumber0(X2))|sdtlbdtrb0(xq,X2)=sdtlbdtrb0(xt,X2)))&xq=sziznziztdt0(xt)),inference(variable_rename,[status(thm)],[162])).
% fof(164, plain,![X2]:(((~(aNaturalNumber0(X2))|sdtlbdtrb0(xq,X2)=sdtlbdtrb0(xt,X2))&(aVector0(xq)&szszuzczcdt0(aDimensionOf0(xq))=aDimensionOf0(xt)))&xq=sziznziztdt0(xt)),inference(shift_quantors,[status(thm)],[163])).
% cnf(165,plain,(xq=sziznziztdt0(xt)),inference(split_conjunct,[status(thm)],[164])).
% cnf(167,plain,(aVector0(xq)),inference(split_conjunct,[status(thm)],[164])).
% cnf(169,plain,(xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),inference(split_conjunct,[status(thm)],[28])).
% cnf(170,plain,(aScalar0(xA)),inference(split_conjunct,[status(thm)],[28])).
% cnf(171,plain,(xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),inference(split_conjunct,[status(thm)],[29])).
% cnf(172,plain,(aScalar0(xB)),inference(split_conjunct,[status(thm)],[29])).
% cnf(174,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[30])).
% cnf(176,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[31])).
% cnf(177,plain,(xE=sdtasasdt0(xp,xq)),inference(split_conjunct,[status(thm)],[32])).
% cnf(178,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[32])).
% cnf(179,plain,(xF=sdtasdt0(xA,xA)),inference(split_conjunct,[status(thm)],[33])).
% cnf(180,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[33])).
% cnf(181,plain,(xG=sdtasdt0(xB,xB)),inference(split_conjunct,[status(thm)],[34])).
% cnf(182,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[34])).
% cnf(183,plain,(xH=sdtasdt0(xA,xB)),inference(split_conjunct,[status(thm)],[35])).
% cnf(184,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[35])).
% cnf(185,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[36])).
% cnf(186,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[36])).
% cnf(187,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[37])).
% cnf(188,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[37])).
% cnf(189,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[38])).
% cnf(190,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[38])).
% cnf(191,plain,(xN=sdtasdt0(xR,xS)),inference(split_conjunct,[status(thm)],[39])).
% cnf(197,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)],[44])).
% fof(220, 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)],[52])).
% fof(221, 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)],[220])).
% fof(222, 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)],[221])).
% cnf(224,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[222])).
% fof(228, 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)],[54])).
% fof(229, 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)],[228])).
% fof(230, 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)],[229])).
% cnf(232,plain,(smndt0(smndt0(X1))=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(233,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(234,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(236,plain,(sdtasdt0(X1,sz0z00)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(237,plain,(sdtpldt0(sz0z00,X1)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(238,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[230])).
% cnf(241,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[56])).
% fof(242, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[57])).
% fof(243, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[242])).
% cnf(244,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[243])).
% cnf(251,negated_conjecture,(~sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(split_conjunct,[status(thm)],[68])).
% cnf(252,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)],[197,187,theory(equality)]),185,theory(equality)]),189,theory(equality)])).
% cnf(254,plain,(aNaturalNumber0(aDimensionOf0(xs))|~aVector0(xt)),inference(spm,[status(thm)],[125,153,theory(equality)])).
% cnf(255,plain,(aNaturalNumber0(aDimensionOf0(xs))|$false),inference(rw,[status(thm)],[254,148,theory(equality)])).
% cnf(256,plain,(aNaturalNumber0(aDimensionOf0(xs))),inference(cn,[status(thm)],[255,theory(equality)])).
% cnf(279,plain,(sdtlbdtrb0(xt,aDimensionOf0(xs))=xB),inference(rw,[status(thm)],[171,153,theory(equality)])).
% cnf(482,plain,(sdtasdt0(xH,xE)=xP|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[187,96,theory(equality)])).
% cnf(525,plain,(sdtasdt0(xH,xE)=xP|$false|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[482,178,theory(equality)])).
% cnf(526,plain,(sdtasdt0(xH,xE)=xP|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[525,184,theory(equality)])).
% cnf(527,plain,(sdtasdt0(xH,xE)=xP|~aScalar0(X1)),inference(cn,[status(thm)],[526,theory(equality)])).
% cnf(592,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[232,224,theory(equality)])).
% cnf(599,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[224,191,theory(equality)])).
% cnf(600,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[224,189,theory(equality)])).
% cnf(603,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))|~aScalar0(xB)),inference(spm,[status(thm)],[224,181,theory(equality)])).
% cnf(604,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|~aScalar0(xA)|~aScalar0(xB)),inference(spm,[status(thm)],[224,183,theory(equality)])).
% cnf(611,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[599,186,theory(equality)])).
% cnf(612,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|$false),inference(rw,[status(thm)],[611,190,theory(equality)])).
% cnf(613,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))),inference(cn,[status(thm)],[612,theory(equality)])).
% cnf(614,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[600,180,theory(equality)])).
% cnf(615,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[614,176,theory(equality)])).
% cnf(616,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[615,theory(equality)])).
% cnf(623,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))|$false),inference(rw,[status(thm)],[603,172,theory(equality)])).
% cnf(624,plain,(smndt0(xG)=sdtasdt0(xB,smndt0(xB))),inference(cn,[status(thm)],[623,theory(equality)])).
% cnf(625,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|$false|~aScalar0(xB)),inference(rw,[status(thm)],[604,170,theory(equality)])).
% cnf(626,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))|$false|$false),inference(rw,[status(thm)],[625,172,theory(equality)])).
% cnf(627,plain,(smndt0(xH)=sdtasdt0(xA,smndt0(xB))),inference(cn,[status(thm)],[626,theory(equality)])).
% cnf(721,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(xt)|~aVector0(X1)),inference(spm,[status(thm)],[144,153,theory(equality)])).
% cnf(723,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|$false|~aVector0(X1)),inference(rw,[status(thm)],[721,148,theory(equality)])).
% cnf(724,plain,(aScalar0(sdtasasdt0(X1,xt))|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(X1)),inference(cn,[status(thm)],[723,theory(equality)])).
% cnf(768,plain,(sdtpldt0(sz0z00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aScalar0(smndt0(X1))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[99,233,theory(equality)])).
% cnf(795,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X3,sdtasdt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[96,97,theory(equality)])).
% cnf(801,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aScalar0(sdtasdt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[96,97,theory(equality)])).
% cnf(807,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[97,187,theory(equality)])).
% cnf(810,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(spm,[status(thm)],[97,183,theory(equality)])).
% cnf(811,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|~aScalar0(xA)|~aScalar0(X1)),inference(spm,[status(thm)],[97,179,theory(equality)])).
% cnf(825,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|$false|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[807,178,theory(equality)])).
% cnf(826,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[825,184,theory(equality)])).
% cnf(827,plain,(sdtasdt0(xP,X1)=sdtasdt0(xE,sdtasdt0(xH,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[826,theory(equality)])).
% cnf(833,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|$false|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[810,170,theory(equality)])).
% cnf(834,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[833,172,theory(equality)])).
% cnf(835,plain,(sdtasdt0(xH,X1)=sdtasdt0(xA,sdtasdt0(xB,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[834,theory(equality)])).
% cnf(836,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|$false|~aScalar0(X1)),inference(rw,[status(thm)],[811,170,theory(equality)])).
% cnf(837,plain,(sdtasdt0(xF,X1)=sdtasdt0(xA,sdtasdt0(xA,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[836,theory(equality)])).
% cnf(857,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|~aScalar0(xE)|~aScalar0(X1)|~aScalar0(xH)),inference(spm,[status(thm)],[104,187,theory(equality)])).
% cnf(869,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|~aScalar0(xF)|~aScalar0(xD)|~aScalar0(X1)),inference(spm,[status(thm)],[104,189,theory(equality)])).
% cnf(876,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|~aScalar0(sz0z00)|~aScalar0(X2)),inference(spm,[status(thm)],[104,236,theory(equality)])).
% cnf(877,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)],[104,96,theory(equality)])).
% cnf(893,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(xH)),inference(rw,[status(thm)],[857,178,theory(equality)])).
% cnf(894,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[893,184,theory(equality)])).
% cnf(895,plain,(sdtpldt0(sdtasdt0(xE,X1),xP)=sdtasdt0(xE,sdtpldt0(X1,xH))|~aScalar0(X1)),inference(cn,[status(thm)],[894,theory(equality)])).
% cnf(913,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|$false|~aScalar0(xD)|~aScalar0(X1)),inference(rw,[status(thm)],[869,180,theory(equality)])).
% cnf(914,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[913,176,theory(equality)])).
% cnf(915,plain,(sdtpldt0(xS,sdtasdt0(xF,X1))=sdtasdt0(xF,sdtpldt0(xD,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[914,theory(equality)])).
% cnf(929,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|$false|~aScalar0(X2)),inference(rw,[status(thm)],[876,241,theory(equality)])).
% cnf(930,plain,(sdtpldt0(sz0z00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz0z00,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[929,theory(equality)])).
% cnf(1082,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|~aScalar0(xD)|~aScalar0(xF)|~aScalar0(X1)),inference(spm,[status(thm)],[107,189,theory(equality)])).
% cnf(1100,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|~aScalar0(xH)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(xE)),inference(spm,[status(thm)],[107,187,theory(equality)])).
% cnf(1154,plain,(sdtpldt0(sdtpldt0(sdtasdt0(X1,xD),sdtasdt0(X1,X2)),sdtpldt0(xS,sdtasdt0(xF,X2)))=sdtasdt0(sdtpldt0(X1,xF),sdtpldt0(xD,X2))|~aScalar0(X2)|$false|~aScalar0(xF)|~aScalar0(X1)),inference(rw,[status(thm)],[1082,176,theory(equality)])).
% cnf(1155,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)],[1154,180,theory(equality)])).
% cnf(1156,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)],[1155,theory(equality)])).
% cnf(1180,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(xE)),inference(rw,[status(thm)],[1100,184,theory(equality)])).
% cnf(1181,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|$false|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[1180,178,theory(equality)])).
% cnf(1182,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xE,X1),xP),sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X2,xH)))=sdtasdt0(sdtpldt0(xE,X2),sdtpldt0(X1,xH))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[1181,theory(equality)])).
% cnf(1235,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),sziznziztdt0(xt)),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),sdtlbdtrb0(xt,aDimensionOf0(xs))))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(xt)|~aVector0(X1)),inference(spm,[status(thm)],[147,153,theory(equality)])).
% cnf(1237,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|~aVector0(xt)|~aVector0(X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1235,165,theory(equality)]),279,theory(equality)])).
% cnf(1238,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(X1),xq),sdtasdt0(sdtlbdtrb0(X1,aDimensionOf0(X1)),xB))=sdtasasdt0(X1,xt)|aDimensionOf0(xs)=sz00|aDimensionOf0(X1)!=aDimensionOf0(xs)|$false|~aVector0(X1)),inference(rw,[status(thm)],[1237,148,theory(equality)])).
% cnf(1239,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)],[1238,theory(equality)])).
% cnf(1240,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)],[1239,154,theory(equality)])).
% cnf(1477,plain,(sdtasdt0(xH,xE)=xP|~aVector0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[527,128,theory(equality)])).
% cnf(1519,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|~aScalar0(xF)),inference(spm,[status(thm)],[92,616,theory(equality)])).
% cnf(1531,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|$false),inference(rw,[status(thm)],[1519,180,theory(equality)])).
% cnf(1532,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))),inference(cn,[status(thm)],[1531,theory(equality)])).
% cnf(1955,plain,(sdtasdt0(xH,xE)=xP|~aVector0(X1)),inference(spm,[status(thm)],[1477,256,theory(equality)])).
% cnf(1959,plain,(sdtasdt0(xH,xE)=xP),inference(spm,[status(thm)],[1955,167,theory(equality)])).
% cnf(1966,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|~aScalar0(xH)|~aScalar0(xE)|~aScalar0(X1)),inference(spm,[status(thm)],[97,1959,theory(equality)])).
% cnf(1976,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG))))),inference(rw,[status(thm)],[252,1959,theory(equality)])).
% cnf(1988,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|$false|~aScalar0(xE)|~aScalar0(X1)),inference(rw,[status(thm)],[1966,184,theory(equality)])).
% cnf(1989,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1988,178,theory(equality)])).
% cnf(1990,plain,(sdtasdt0(xP,X1)=sdtasdt0(xH,sdtasdt0(xE,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[1989,theory(equality)])).
% cnf(2924,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xH)),inference(spm,[status(thm)],[827,236,theory(equality)])).
% cnf(2953,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[2924,241,theory(equality)])).
% cnf(2954,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)|$false|$false),inference(rw,[status(thm)],[2953,184,theory(equality)])).
% cnf(2955,plain,(sdtasdt0(xE,sz0z00)=sdtasdt0(xP,sz0z00)),inference(cn,[status(thm)],[2954,theory(equality)])).
% cnf(3025,plain,(sdtasdt0(xE,sz0z00)=sz0z00|~aScalar0(xP)),inference(spm,[status(thm)],[236,2955,theory(equality)])).
% cnf(3069,plain,(sdtasdt0(xE,sz0z00)=sz0z00|$false),inference(rw,[status(thm)],[3025,188,theory(equality)])).
% cnf(3070,plain,(sdtasdt0(xE,sz0z00)=sz0z00),inference(cn,[status(thm)],[3069,theory(equality)])).
% cnf(4650,plain,(sdtasdt0(xH,sz0z00)=sdtasdt0(xP,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xE)),inference(spm,[status(thm)],[1990,236,theory(equality)])).
% cnf(4681,plain,(sdtasdt0(xH,sz0z00)=sz0z00|~aScalar0(sz0z00)|~aScalar0(xE)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[4650,2955,theory(equality)]),3070,theory(equality)])).
% cnf(4682,plain,(sdtasdt0(xH,sz0z00)=sz0z00|$false|~aScalar0(xE)),inference(rw,[status(thm)],[4681,241,theory(equality)])).
% cnf(4683,plain,(sdtasdt0(xH,sz0z00)=sz0z00|$false|$false),inference(rw,[status(thm)],[4682,178,theory(equality)])).
% cnf(4684,plain,(sdtasdt0(xH,sz0z00)=sz0z00),inference(cn,[status(thm)],[4683,theory(equality)])).
% cnf(5336,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))|~aScalar0(xB)),inference(spm,[status(thm)],[92,624,theory(equality)])).
% cnf(5348,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))|$false),inference(rw,[status(thm)],[5336,172,theory(equality)])).
% cnf(5349,plain,(aScalar0(smndt0(xG))|~aScalar0(smndt0(xB))),inference(cn,[status(thm)],[5348,theory(equality)])).
% cnf(5372,plain,(aScalar0(smndt0(xG))|~aScalar0(xB)),inference(spm,[status(thm)],[5349,244,theory(equality)])).
% cnf(5373,plain,(aScalar0(smndt0(xG))|$false),inference(rw,[status(thm)],[5372,172,theory(equality)])).
% cnf(5374,plain,(aScalar0(smndt0(xG))),inference(cn,[status(thm)],[5373,theory(equality)])).
% cnf(5378,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))|~aScalar0(xA)),inference(spm,[status(thm)],[92,627,theory(equality)])).
% cnf(5390,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))|$false),inference(rw,[status(thm)],[5378,170,theory(equality)])).
% cnf(5391,plain,(aScalar0(smndt0(xH))|~aScalar0(smndt0(xB))),inference(cn,[status(thm)],[5390,theory(equality)])).
% cnf(5414,plain,(aScalar0(smndt0(xH))|~aScalar0(xB)),inference(spm,[status(thm)],[5391,244,theory(equality)])).
% cnf(5415,plain,(aScalar0(smndt0(xH))|$false),inference(rw,[status(thm)],[5414,172,theory(equality)])).
% cnf(5416,plain,(aScalar0(smndt0(xH))),inference(cn,[status(thm)],[5415,theory(equality)])).
% cnf(5705,plain,(aScalar0(smndt0(xS))|~aScalar0(xD)),inference(spm,[status(thm)],[1532,244,theory(equality)])).
% cnf(5706,plain,(aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[5705,176,theory(equality)])).
% cnf(5707,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[5706,theory(equality)])).
% cnf(6821,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|~aScalar0(sz0z00)|~aScalar0(xE)),inference(spm,[status(thm)],[895,236,theory(equality)])).
% cnf(6836,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|$false|~aScalar0(xE)),inference(rw,[status(thm)],[6821,241,theory(equality)])).
% cnf(6837,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))|$false|$false),inference(rw,[status(thm)],[6836,178,theory(equality)])).
% cnf(6838,plain,(sdtpldt0(sz0z00,xP)=sdtasdt0(xE,sdtpldt0(sz0z00,xH))),inference(cn,[status(thm)],[6837,theory(equality)])).
% cnf(6909,plain,(sdtasdt0(xE,xH)=sdtpldt0(sz0z00,xP)|~aScalar0(xH)),inference(spm,[status(thm)],[6838,237,theory(equality)])).
% cnf(6934,plain,(xP=sdtpldt0(sz0z00,xP)|~aScalar0(xH)),inference(rw,[status(thm)],[6909,187,theory(equality)])).
% cnf(6935,plain,(xP=sdtpldt0(sz0z00,xP)|$false),inference(rw,[status(thm)],[6934,184,theory(equality)])).
% cnf(6936,plain,(xP=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[6935,theory(equality)])).
% cnf(19693,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[592,92])).
% cnf(19747,plain,(smndt0(smndt0(xG))=sdtasdt0(xB,xB)|~aScalar0(xB)),inference(spm,[status(thm)],[19693,624,theory(equality)])).
% cnf(19748,plain,(smndt0(smndt0(xH))=sdtasdt0(xA,xB)|~aScalar0(xA)|~aScalar0(xB)),inference(spm,[status(thm)],[19693,627,theory(equality)])).
% cnf(19878,plain,(smndt0(smndt0(xG))=xG|~aScalar0(xB)),inference(rw,[status(thm)],[19747,181,theory(equality)])).
% cnf(19879,plain,(smndt0(smndt0(xG))=xG|$false),inference(rw,[status(thm)],[19878,172,theory(equality)])).
% cnf(19880,plain,(smndt0(smndt0(xG))=xG),inference(cn,[status(thm)],[19879,theory(equality)])).
% cnf(19881,plain,(smndt0(smndt0(xH))=xH|~aScalar0(xA)|~aScalar0(xB)),inference(rw,[status(thm)],[19748,183,theory(equality)])).
% cnf(19882,plain,(smndt0(smndt0(xH))=xH|$false|~aScalar0(xB)),inference(rw,[status(thm)],[19881,170,theory(equality)])).
% cnf(19883,plain,(smndt0(smndt0(xH))=xH|$false|$false),inference(rw,[status(thm)],[19882,172,theory(equality)])).
% cnf(19884,plain,(smndt0(smndt0(xH))=xH),inference(cn,[status(thm)],[19883,theory(equality)])).
% cnf(19919,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00|~aScalar0(smndt0(xG))),inference(spm,[status(thm)],[234,19880,theory(equality)])).
% cnf(19932,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00|$false),inference(rw,[status(thm)],[19919,5374,theory(equality)])).
% cnf(19933,plain,(sdtpldt0(smndt0(xG),xG)=sz0z00),inference(cn,[status(thm)],[19932,theory(equality)])).
% cnf(19995,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00|~aScalar0(smndt0(xH))),inference(spm,[status(thm)],[234,19884,theory(equality)])).
% cnf(20007,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00|$false),inference(rw,[status(thm)],[19995,5416,theory(equality)])).
% cnf(20008,plain,(sdtpldt0(smndt0(xH),xH)=sz0z00),inference(cn,[status(thm)],[20007,theory(equality)])).
% cnf(23789,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|~aScalar0(xR)),inference(spm,[status(thm)],[92,613,theory(equality)])).
% cnf(23809,plain,(aScalar0(smndt0(xN))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[23789,5707,theory(equality)])).
% cnf(23810,plain,(aScalar0(smndt0(xN))|$false|$false),inference(rw,[status(thm)],[23809,186,theory(equality)])).
% cnf(23811,plain,(aScalar0(smndt0(xN))),inference(cn,[status(thm)],[23810,theory(equality)])).
% cnf(42989,plain,(aScalar0(sdtasasdt0(xs,xt))|~aVector0(xs)),inference(er,[status(thm)],[724,theory(equality)])).
% cnf(42991,plain,(aScalar0(sdtasasdt0(xs,xt))|$false),inference(rw,[status(thm)],[42989,149,theory(equality)])).
% cnf(42992,plain,(aScalar0(sdtasasdt0(xs,xt))),inference(cn,[status(thm)],[42991,theory(equality)])).
% cnf(57846,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[768,244])).
% cnf(57876,plain,(sdtpldt0(smndt0(smndt0(xH)),sz0z00)=sdtpldt0(sz0z00,xH)|~aScalar0(smndt0(xH))|~aScalar0(xH)),inference(spm,[status(thm)],[57846,20008,theory(equality)])).
% cnf(57877,plain,(sdtpldt0(smndt0(smndt0(xG)),sz0z00)=sdtpldt0(sz0z00,xG)|~aScalar0(smndt0(xG))|~aScalar0(xG)),inference(spm,[status(thm)],[57846,19933,theory(equality)])).
% cnf(58013,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|~aScalar0(smndt0(xH))|~aScalar0(xH)),inference(rw,[status(thm)],[57876,19884,theory(equality)])).
% cnf(58014,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[58013,5416,theory(equality)])).
% cnf(58015,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)|$false|$false),inference(rw,[status(thm)],[58014,184,theory(equality)])).
% cnf(58016,plain,(sdtpldt0(xH,sz0z00)=sdtpldt0(sz0z00,xH)),inference(cn,[status(thm)],[58015,theory(equality)])).
% cnf(58017,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|~aScalar0(smndt0(xG))|~aScalar0(xG)),inference(rw,[status(thm)],[57877,19880,theory(equality)])).
% cnf(58018,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|$false|~aScalar0(xG)),inference(rw,[status(thm)],[58017,5374,theory(equality)])).
% cnf(58019,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)|$false|$false),inference(rw,[status(thm)],[58018,182,theory(equality)])).
% cnf(58020,plain,(sdtpldt0(xG,sz0z00)=sdtpldt0(sz0z00,xG)),inference(cn,[status(thm)],[58019,theory(equality)])).
% cnf(58230,plain,(sdtpldt0(sz0z00,xH)=xH|~aScalar0(xH)),inference(spm,[status(thm)],[238,58016,theory(equality)])).
% cnf(58262,plain,(sdtpldt0(sz0z00,xH)=xH|$false),inference(rw,[status(thm)],[58230,184,theory(equality)])).
% cnf(58263,plain,(sdtpldt0(sz0z00,xH)=xH),inference(cn,[status(thm)],[58262,theory(equality)])).
% cnf(58360,plain,(sdtpldt0(sz0z00,xG)=xG|~aScalar0(xG)),inference(spm,[status(thm)],[238,58020,theory(equality)])).
% cnf(58391,plain,(sdtpldt0(sz0z00,xG)=xG|$false),inference(rw,[status(thm)],[58360,182,theory(equality)])).
% cnf(58392,plain,(sdtpldt0(sz0z00,xG)=xG),inference(cn,[status(thm)],[58391,theory(equality)])).
% cnf(67951,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X3,sdtasdt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[795,92])).
% cnf(81136,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)],[801,67951])).
% cnf(81137,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[81136,92])).
% cnf(93057,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)|~aScalar0(xB)),inference(spm,[status(thm)],[835,181,theory(equality)])).
% cnf(93161,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)|$false),inference(rw,[status(thm)],[93057,172,theory(equality)])).
% cnf(93162,plain,(sdtasdt0(xA,xG)=sdtasdt0(xH,xB)),inference(cn,[status(thm)],[93161,theory(equality)])).
% cnf(119020,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)|~aScalar0(xG)),inference(spm,[status(thm)],[837,93162,theory(equality)])).
% cnf(119127,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)|$false),inference(rw,[status(thm)],[119020,182,theory(equality)])).
% cnf(119128,plain,(sdtasdt0(xA,sdtasdt0(xH,xB))=sdtasdt0(xF,xG)),inference(cn,[status(thm)],[119127,theory(equality)])).
% cnf(155795,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|~aScalar0(xA)|~aScalar0(xH)|~aScalar0(xB)),inference(spm,[status(thm)],[81137,119128,theory(equality)])).
% cnf(155945,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|~aScalar0(xH)|~aScalar0(xB)),inference(rw,[status(thm)],[155795,170,theory(equality)])).
% cnf(155946,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|$false|~aScalar0(xB)),inference(rw,[status(thm)],[155945,184,theory(equality)])).
% cnf(155947,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))|$false|$false|$false),inference(rw,[status(thm)],[155946,172,theory(equality)])).
% cnf(155948,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,sdtasdt0(xB,xA))),inference(cn,[status(thm)],[155947,theory(equality)])).
% cnf(173559,plain,(sdtasdt0(xH,sdtasdt0(xA,xB))=sdtasdt0(xF,xG)|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(spm,[status(thm)],[155948,96,theory(equality)])).
% cnf(173681,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|~aScalar0(xA)|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[173559,183,theory(equality)])).
% cnf(173682,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|$false|~aScalar0(xB)|~aScalar0(X1)),inference(rw,[status(thm)],[173681,170,theory(equality)])).
% cnf(173683,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[173682,172,theory(equality)])).
% cnf(173684,plain,(sdtasdt0(xH,xH)=sdtasdt0(xF,xG)|~aScalar0(X1)),inference(cn,[status(thm)],[173683,theory(equality)])).
% cnf(173744,plain,(sdtasdt0(xF,xG)=sdtasdt0(xH,xH)),inference(spm,[status(thm)],[173684,23811,theory(equality)])).
% cnf(174010,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(sz0z00,xG))|~aScalar0(xF)|~aScalar0(xG)),inference(spm,[status(thm)],[930,173744,theory(equality)])).
% cnf(174039,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))|~aScalar0(xG)),inference(spm,[status(thm)],[915,173744,theory(equality)])).
% cnf(174113,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|~aScalar0(xF)|~aScalar0(xG)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[174010,58392,theory(equality)]),173744,theory(equality)])).
% cnf(174114,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|$false|~aScalar0(xG)),inference(rw,[status(thm)],[174113,180,theory(equality)])).
% cnf(174115,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)|$false|$false),inference(rw,[status(thm)],[174114,182,theory(equality)])).
% cnf(174116,plain,(sdtpldt0(sz0z00,sdtasdt0(xH,xH))=sdtasdt0(xH,xH)),inference(cn,[status(thm)],[174115,theory(equality)])).
% cnf(174197,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))|$false),inference(rw,[status(thm)],[174039,182,theory(equality)])).
% cnf(174198,plain,(sdtpldt0(xS,sdtasdt0(xH,xH))=sdtasdt0(xF,sdtpldt0(xD,xG))),inference(cn,[status(thm)],[174197,theory(equality)])).
% cnf(316797,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|~aScalar0(xG)|~aScalar0(xC)),inference(spm,[status(thm)],[1156,185,theory(equality)])).
% cnf(318091,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|~aScalar0(xG)|~aScalar0(xC)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[316797,173744,theory(equality)]),174198,theory(equality)])).
% cnf(318092,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))|$false|~aScalar0(xC)),inference(rw,[status(thm)],[318091,182,theory(equality)])).
% cnf(318093,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)],[318092,174,theory(equality)])).
% cnf(318094,plain,(sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))=sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),inference(cn,[status(thm)],[318093,theory(equality)])).
% cnf(396579,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)],[1182,4684,theory(equality)])).
% cnf(397479,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)],[396579,3070,theory(equality)]),6936,theory(equality)]),174116,theory(equality)])).
% cnf(397480,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|~aScalar0(sz0z00)|~aScalar0(xH)),inference(rw,[status(thm)],[397479,58263,theory(equality)])).
% cnf(397481,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|$false|~aScalar0(xH)),inference(rw,[status(thm)],[397480,241,theory(equality)])).
% cnf(397482,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)|$false|$false),inference(rw,[status(thm)],[397481,184,theory(equality)])).
% cnf(397483,plain,(sdtpldt0(xP,sdtasdt0(xH,xH))=sdtasdt0(sdtpldt0(xE,xH),xH)),inference(cn,[status(thm)],[397482,theory(equality)])).
% cnf(553719,plain,(sdtpldt0(sdtasasdt0(sziznziztdt0(xs),xq),sdtasdt0(sdtlbdtrb0(xs,aDimensionOf0(xs)),xB))=sdtasasdt0(xs,xt)|~aVector0(xs)),inference(er,[status(thm)],[1240,theory(equality)])).
% cnf(553722,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)|~aVector0(xs)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[553719,158,theory(equality)]),177,theory(equality)]),169,theory(equality)]),183,theory(equality)])).
% cnf(553723,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)|$false),inference(rw,[status(thm)],[553722,149,theory(equality)])).
% cnf(553724,plain,(sdtpldt0(xE,xH)=sdtasasdt0(xs,xt)),inference(cn,[status(thm)],[553723,theory(equality)])).
% cnf(553730,plain,(aScalar0(sdtpldt0(xE,xH))),inference(rw,[status(thm)],[42992,553724,theory(equality)])).
% cnf(720755,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)],[1976,397483,theory(equality)]),173744,theory(equality)]),174198,theory(equality)]),318094,theory(equality)])).
% cnf(720777,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)],[720755,895,theory(equality)])).
% cnf(720832,plain,(sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false),inference(rw,[status(thm)],[720777,178,theory(equality)])).
% cnf(720833,plain,(sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xE,xH),xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))),inference(cn,[status(thm)],[720832,theory(equality)])).
% cnf(720953,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~aScalar0(sdtpldt0(xE,xH))|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(spm,[status(thm)],[720833,877,theory(equality)])).
% cnf(721003,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false|~aScalar0(xE)|~aScalar0(xH)|~aScalar0(X1)),inference(rw,[status(thm)],[720953,553730,theory(equality)])).
% cnf(721004,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)],[721003,178,theory(equality)])).
% cnf(721005,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|$false|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[721004,184,theory(equality)])).
% cnf(721006,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)))|~aScalar0(X1)),inference(cn,[status(thm)],[721005,theory(equality)])).
% cnf(721007,plain,(~aScalar0(X1)),inference(sr,[status(thm)],[721006,251,theory(equality)])).
% cnf(721034,plain,($false),inference(sr,[status(thm)],[174,721007,theory(equality)])).
% cnf(721035,plain,($false),721034,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4843
% # ...of these trivial : 751
% # ...subsumed : 210
% # ...remaining for further processing: 3882
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 106
% # Backward-rewritten : 1550
% # Generated clauses : 229984
% # ...of the previous two non-trivial : 216738
% # Contextual simplify-reflections : 165
% # Paramodulations : 229812
% # Factorizations : 2
% # Equation resolutions : 29
% # Current number of processed clauses: 2085
% # Positive orientable unit clauses: 1627
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 455
% # Current number of unprocessed clauses: 168489
% # ...number of literals in the above : 571037
% # Clause-clause subsumption calls (NU) : 21855
% # Rec. Clause-clause subsumption calls : 10196
% # Unit Clause-clause subsumption calls : 526
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 19483
% # Indexed BW rewrite successes : 673
% # Backwards rewriting index: 2230 leaves, 1.75+/-3.288 terms/leaf
% # Paramod-from index: 815 leaves, 2.33+/-5.063 terms/leaf
% # Paramod-into index: 1886 leaves, 1.81+/-3.515 terms/leaf
% # -------------------------------------------------
% # User time : 9.584 s
% # System time : 0.415 s
% # Total time : 9.998 s
% # Maximum resident set size: 0 pages
% PrfWatch: 19.82 CPU 20.82 WC
% FINAL PrfWatch: 19.82 CPU 20.82 WC
% SZS output end Solution for /tmp/SystemOnTPTP31044/RNG079+2.tptp
%
%------------------------------------------------------------------------------