TSTP Solution File: RNG071+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG071+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 22:22:01 EST 2010
% Result : Theorem 13.01s
% Output : Solution 13.01s
% 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/SystemOnTPTP27787/RNG071+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27787/RNG071+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27787/RNG071+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 27883
% 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
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.72 CPU 8.05 WC
% PrfWatch: 9.32 CPU 10.06 WC
% PrfWatch: 11.18 CPU 12.06 WC
% # SZS output start CNFRefutation.
% fof(6, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(7, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSumSc)).
% fof(8, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(9, 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(12, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERef)).
% fof(13, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEASm)).
% fof(14, axiom,![X1]:![X2]:![X3]:(((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X3))=>sdtlseqdt0(X1,X3))),file('/tmp/SRASS.s.p', mLETrn)).
% fof(15, axiom,![X1]:![X2]:![X3]:![X4]:((((aScalar0(X1)&aScalar0(X2))&aScalar0(X3))&aScalar0(X4))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X3,X4))=>sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)))),file('/tmp/SRASS.s.p', mLEMon)).
% fof(17, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1))),file('/tmp/SRASS.s.p', mLETot)).
% fof(18, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(sz0z00,X1)&sdtlseqdt0(sz0z00,X2))=>(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))&sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))))),file('/tmp/SRASS.s.p', mPosMon)).
% fof(19, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),file('/tmp/SRASS.s.p', mSqPos)).
% fof(28, axiom,![X1]:(aVector0(X1)=>sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))),file('/tmp/SRASS.s.p', mScSqPos)).
% fof(33, 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(34, 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(35, axiom,(aScalar0(xA)&xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),file('/tmp/SRASS.s.p', m__1746)).
% fof(36, axiom,(aScalar0(xB)&xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),file('/tmp/SRASS.s.p', m__1766)).
% fof(37, axiom,(aScalar0(xC)&xC=sdtasasdt0(xp,xp)),file('/tmp/SRASS.s.p', m__1783)).
% fof(38, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(39, axiom,(aScalar0(xE)&xE=sdtasasdt0(xp,xq)),file('/tmp/SRASS.s.p', m__1820)).
% fof(40, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(41, axiom,(aScalar0(xG)&xG=sdtasdt0(xB,xB)),file('/tmp/SRASS.s.p', m__1854)).
% fof(42, axiom,(aScalar0(xH)&xH=sdtasdt0(xA,xB)),file('/tmp/SRASS.s.p', m__1873)).
% fof(43, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(44, axiom,(aScalar0(xP)&xP=sdtasdt0(xE,xH)),file('/tmp/SRASS.s.p', m__1911)).
% fof(45, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(52, axiom,sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),file('/tmp/SRASS.s.p', m__2610)).
% fof(53, 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(55, 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(58, axiom,![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))),file('/tmp/SRASS.s.p', mNegSc)).
% fof(62, conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))&sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),file('/tmp/SRASS.s.p', m__)).
% fof(63, negated_conjecture,~((sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))&sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)))),inference(assume_negation,[status(cth)],[62])).
% cnf(88,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[6])).
% fof(89, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(90, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[89])).
% cnf(91,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(92, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(93, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[92])).
% cnf(94,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(95, 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)],[9])).
% fof(96, 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)],[95])).
% fof(97, 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)],[96])).
% cnf(100,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[97])).
% cnf(101,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[97])).
% fof(110, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[12])).
% fof(111, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[110])).
% cnf(112,plain,(sdtlseqdt0(X1,X1)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[111])).
% fof(113, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[13])).
% fof(114, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[113])).
% cnf(115,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[114])).
% fof(116, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[14])).
% fof(117, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[116])).
% cnf(118,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[117])).
% fof(119, plain,![X1]:![X2]:![X3]:![X4]:((((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|~(aScalar0(X4)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X3,X4)))|sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X4)))),inference(fof_nnf,[status(thm)],[15])).
% fof(120, plain,![X5]:![X6]:![X7]:![X8]:((((~(aScalar0(X5))|~(aScalar0(X6)))|~(aScalar0(X7)))|~(aScalar0(X8)))|((~(sdtlseqdt0(X5,X6))|~(sdtlseqdt0(X7,X8)))|sdtlseqdt0(sdtpldt0(X5,X7),sdtpldt0(X6,X8)))),inference(variable_rename,[status(thm)],[119])).
% cnf(121,plain,(sdtlseqdt0(sdtpldt0(X1,X2),sdtpldt0(X3,X4))|~sdtlseqdt0(X2,X4)|~sdtlseqdt0(X1,X3)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[120])).
% fof(125, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1))),inference(fof_nnf,[status(thm)],[17])).
% fof(126, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|(sdtlseqdt0(X3,X4)|sdtlseqdt0(X4,X3))),inference(variable_rename,[status(thm)],[125])).
% cnf(127,plain,(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[126])).
% fof(128, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|((~(sdtlseqdt0(sz0z00,X1))|~(sdtlseqdt0(sz0z00,X2)))|(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))&sdtlseqdt0(sz0z00,sdtasdt0(X1,X2))))),inference(fof_nnf,[status(thm)],[18])).
% fof(129, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|((~(sdtlseqdt0(sz0z00,X3))|~(sdtlseqdt0(sz0z00,X4)))|(sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))&sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))))),inference(variable_rename,[status(thm)],[128])).
% fof(130, plain,![X3]:![X4]:(((sdtlseqdt0(sz0z00,sdtpldt0(X3,X4))|(~(sdtlseqdt0(sz0z00,X3))|~(sdtlseqdt0(sz0z00,X4))))|(~(aScalar0(X3))|~(aScalar0(X4))))&((sdtlseqdt0(sz0z00,sdtasdt0(X3,X4))|(~(sdtlseqdt0(sz0z00,X3))|~(sdtlseqdt0(sz0z00,X4))))|(~(aScalar0(X3))|~(aScalar0(X4))))),inference(distribute,[status(thm)],[129])).
% cnf(131,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,X2)),inference(split_conjunct,[status(thm)],[130])).
% cnf(132,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,X2)),inference(split_conjunct,[status(thm)],[130])).
% fof(133, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[19])).
% fof(134, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(sz0z00,sdtasdt0(X2,X2))),inference(variable_rename,[status(thm)],[133])).
% cnf(135,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[134])).
% fof(167, plain,![X1]:(~(aVector0(X1))|sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[28])).
% fof(168, plain,![X2]:(~(aVector0(X2))|sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2))),inference(variable_rename,[status(thm)],[167])).
% cnf(169,plain,(sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))|~aVector0(X1)),inference(split_conjunct,[status(thm)],[168])).
% fof(177, 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)],[33])).
% fof(178, 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)],[177])).
% fof(179, 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)],[178])).
% cnf(182,plain,(aVector0(xp)),inference(split_conjunct,[status(thm)],[179])).
% fof(184, 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)],[34])).
% fof(185, 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)],[184])).
% fof(186, 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)],[185])).
% cnf(189,plain,(aVector0(xq)),inference(split_conjunct,[status(thm)],[186])).
% cnf(192,plain,(aScalar0(xA)),inference(split_conjunct,[status(thm)],[35])).
% cnf(194,plain,(aScalar0(xB)),inference(split_conjunct,[status(thm)],[36])).
% cnf(195,plain,(xC=sdtasasdt0(xp,xp)),inference(split_conjunct,[status(thm)],[37])).
% cnf(196,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[37])).
% cnf(197,plain,(xD=sdtasasdt0(xq,xq)),inference(split_conjunct,[status(thm)],[38])).
% cnf(198,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[38])).
% cnf(200,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[39])).
% cnf(201,plain,(xF=sdtasdt0(xA,xA)),inference(split_conjunct,[status(thm)],[40])).
% cnf(202,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[40])).
% cnf(203,plain,(xG=sdtasdt0(xB,xB)),inference(split_conjunct,[status(thm)],[41])).
% cnf(204,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[41])).
% cnf(206,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[42])).
% cnf(207,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[43])).
% cnf(208,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[43])).
% cnf(209,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[44])).
% cnf(210,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[44])).
% cnf(211,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[45])).
% cnf(212,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[45])).
% cnf(220,plain,(sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),inference(split_conjunct,[status(thm)],[52])).
% fof(221, 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)],[53])).
% fof(222, 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)],[221])).
% fof(223, 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)],[222])).
% cnf(226,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(227,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(228,plain,(sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(230,plain,(sdtpldt0(sz0z00,X1)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[223])).
% cnf(231,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[223])).
% fof(234, 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)],[55])).
% fof(235, 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)],[234])).
% fof(236, 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)],[235])).
% cnf(238,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[236])).
% fof(244, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[58])).
% fof(245, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[244])).
% cnf(246,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[245])).
% fof(253, negated_conjecture,(~(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)))|~(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)))),inference(fof_nnf,[status(thm)],[63])).
% cnf(254,negated_conjecture,(~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),inference(split_conjunct,[status(thm)],[253])).
% cnf(277,plain,(sdtlseqdt0(sz0z00,xG)|~aScalar0(xB)),inference(spm,[status(thm)],[135,203,theory(equality)])).
% cnf(278,plain,(sdtlseqdt0(sz0z00,xF)|~aScalar0(xA)),inference(spm,[status(thm)],[135,201,theory(equality)])).
% cnf(279,plain,(sdtlseqdt0(sz0z00,sz0z00)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[135,228,theory(equality)])).
% cnf(281,plain,(sdtlseqdt0(sz0z00,xG)|$false),inference(rw,[status(thm)],[277,194,theory(equality)])).
% cnf(282,plain,(sdtlseqdt0(sz0z00,xG)),inference(cn,[status(thm)],[281,theory(equality)])).
% cnf(283,plain,(sdtlseqdt0(sz0z00,xF)|$false),inference(rw,[status(thm)],[278,192,theory(equality)])).
% cnf(284,plain,(sdtlseqdt0(sz0z00,xF)),inference(cn,[status(thm)],[283,theory(equality)])).
% cnf(285,plain,(sdtlseqdt0(sz0z00,sz0z00)|$false),inference(rw,[status(thm)],[279,88,theory(equality)])).
% cnf(286,plain,(sdtlseqdt0(sz0z00,sz0z00)),inference(cn,[status(thm)],[285,theory(equality)])).
% cnf(289,plain,(sdtlseqdt0(sz0z00,xD)|~aVector0(xq)),inference(spm,[status(thm)],[169,197,theory(equality)])).
% cnf(290,plain,(sdtlseqdt0(sz0z00,xC)|~aVector0(xp)),inference(spm,[status(thm)],[169,195,theory(equality)])).
% cnf(291,plain,(sdtlseqdt0(sz0z00,xD)|$false),inference(rw,[status(thm)],[289,189,theory(equality)])).
% cnf(292,plain,(sdtlseqdt0(sz0z00,xD)),inference(cn,[status(thm)],[291,theory(equality)])).
% cnf(293,plain,(sdtlseqdt0(sz0z00,xC)|$false),inference(rw,[status(thm)],[290,182,theory(equality)])).
% cnf(294,plain,(sdtlseqdt0(sz0z00,xC)),inference(cn,[status(thm)],[293,theory(equality)])).
% cnf(369,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[132,112,theory(equality)])).
% cnf(372,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[369,88,theory(equality)])).
% cnf(373,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[372,theory(equality)])).
% cnf(376,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[132,127,theory(equality)])).
% cnf(378,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[376,88,theory(equality)])).
% cnf(379,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[378,theory(equality)])).
% cnf(483,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)),inference(spm,[status(thm)],[118,220,theory(equality)])).
% cnf(645,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[100,101,theory(equality)])).
% cnf(647,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[100,101,theory(equality)])).
% cnf(650,plain,(sdtpldt0(sz0z00,X2)=sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))|~aScalar0(X1)|~aScalar0(smndt0(X1))|~aScalar0(X2)),inference(spm,[status(thm)],[101,227,theory(equality)])).
% cnf(677,plain,(sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2))=sz0z00|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[226,238,theory(equality)])).
% cnf(682,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[238,211,theory(equality)])).
% cnf(683,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[238,209,theory(equality)])).
% cnf(684,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[238,207,theory(equality)])).
% cnf(695,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[682,202,theory(equality)])).
% cnf(696,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[695,198,theory(equality)])).
% cnf(697,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[696,theory(equality)])).
% cnf(698,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|~aScalar0(xH)),inference(rw,[status(thm)],[683,200,theory(equality)])).
% cnf(699,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|$false),inference(rw,[status(thm)],[698,206,theory(equality)])).
% cnf(700,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))),inference(cn,[status(thm)],[699,theory(equality)])).
% cnf(701,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|~aScalar0(xG)),inference(rw,[status(thm)],[684,196,theory(equality)])).
% cnf(702,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|$false),inference(rw,[status(thm)],[701,204,theory(equality)])).
% cnf(703,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))),inference(cn,[status(thm)],[702,theory(equality)])).
% cnf(1203,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|~aScalar0(sz0z00)|~aScalar0(X2)|~aScalar0(X1)),inference(spm,[status(thm)],[121,286,theory(equality)])).
% cnf(1209,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|$false|~aScalar0(X2)|~aScalar0(X1)),inference(rw,[status(thm)],[1203,88,theory(equality)])).
% cnf(1210,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(cn,[status(thm)],[1209,theory(equality)])).
% cnf(1244,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(xF)|~aScalar0(X1)),inference(spm,[status(thm)],[131,284,theory(equality)])).
% cnf(1258,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1244,202,theory(equality)])).
% cnf(1259,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[1258,theory(equality)])).
% cnf(1286,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(xC)|~aScalar0(X1)),inference(spm,[status(thm)],[131,294,theory(equality)])).
% cnf(1300,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1286,196,theory(equality)])).
% cnf(1301,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[1300,theory(equality)])).
% cnf(1364,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[373,127,theory(equality)])).
% cnf(1375,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)|$false),inference(rw,[status(thm)],[1364,88,theory(equality)])).
% cnf(1376,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)),inference(cn,[status(thm)],[1375,theory(equality)])).
% cnf(2797,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[379,127,theory(equality)])).
% cnf(2816,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[2797,88,theory(equality)])).
% cnf(2817,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[2816,theory(equality)])).
% cnf(3297,plain,(sdtlseqdt0(sz0z00,X1)|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[1376,230,theory(equality)])).
% cnf(3692,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[118,3297,theory(equality)])).
% cnf(3728,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[3692,88,theory(equality)])).
% cnf(3729,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(cn,[status(thm)],[3728,theory(equality)])).
% cnf(8594,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)|~aScalar0(xS)|~aScalar0(xR)),inference(spm,[status(thm)],[483,91,theory(equality)])).
% cnf(8595,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)|$false|~aScalar0(xR)),inference(rw,[status(thm)],[8594,212,theory(equality)])).
% cnf(8596,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[8595,208,theory(equality)])).
% cnf(8597,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)),inference(cn,[status(thm)],[8596,theory(equality)])).
% cnf(8683,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)|~aScalar0(xP)),inference(spm,[status(thm)],[8597,91,theory(equality)])).
% cnf(8688,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)|$false),inference(rw,[status(thm)],[8683,210,theory(equality)])).
% cnf(8689,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)),inference(cn,[status(thm)],[8688,theory(equality)])).
% cnf(17538,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[645,91])).
% cnf(18454,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(csr,[status(thm)],[647,17538])).
% cnf(18455,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[18454,91])).
% cnf(20715,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(sz0z00,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(csr,[status(thm)],[650,246])).
% cnf(26094,plain,(sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2))=sz0z00|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[677,94])).
% cnf(27842,plain,(sdtpldt0(smndt0(xS),sdtasdt0(xF,xD))=sz0z00|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[26094,697,theory(equality)])).
% cnf(27884,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|~aScalar0(xF)|~aScalar0(xD)),inference(rw,[status(thm)],[27842,211,theory(equality)])).
% cnf(27885,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|$false|~aScalar0(xD)),inference(rw,[status(thm)],[27884,202,theory(equality)])).
% cnf(27886,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|$false|$false),inference(rw,[status(thm)],[27885,198,theory(equality)])).
% cnf(27887,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00),inference(cn,[status(thm)],[27886,theory(equality)])).
% cnf(27943,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|~aScalar0(xS)),inference(spm,[status(thm)],[20715,27887,theory(equality)])).
% cnf(27979,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false),inference(rw,[status(thm)],[27943,212,theory(equality)])).
% cnf(27980,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)),inference(cn,[status(thm)],[27979,theory(equality)])).
% cnf(27991,plain,(sdtpldt0(sz0z00,xS)=xS|~aScalar0(xS)),inference(spm,[status(thm)],[231,27980,theory(equality)])).
% cnf(28028,plain,(sdtpldt0(sz0z00,xS)=xS|$false),inference(rw,[status(thm)],[27991,212,theory(equality)])).
% cnf(28029,plain,(sdtpldt0(sz0z00,xS)=xS),inference(cn,[status(thm)],[28028,theory(equality)])).
% cnf(28049,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|~aScalar0(xS)|~aScalar0(X1)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[18455,28029,theory(equality)])).
% cnf(28054,plain,(sdtpldt0(xS,sz0z00)=xS),inference(rw,[status(thm)],[27980,28029,theory(equality)])).
% cnf(28087,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|$false|~aScalar0(X1)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[28049,212,theory(equality)])).
% cnf(28088,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[28087,88,theory(equality)])).
% cnf(28089,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|~aScalar0(X1)),inference(cn,[status(thm)],[28088,theory(equality)])).
% cnf(28250,plain,(sdtpldt0(smndt0(xP),sdtasdt0(xE,xH))=sz0z00|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[26094,700,theory(equality)])).
% cnf(28292,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|~aScalar0(xE)|~aScalar0(xH)),inference(rw,[status(thm)],[28250,209,theory(equality)])).
% cnf(28293,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|$false|~aScalar0(xH)),inference(rw,[status(thm)],[28292,200,theory(equality)])).
% cnf(28294,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|$false|$false),inference(rw,[status(thm)],[28293,206,theory(equality)])).
% cnf(28295,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00),inference(cn,[status(thm)],[28294,theory(equality)])).
% cnf(28383,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|~aScalar0(xP)),inference(spm,[status(thm)],[20715,28295,theory(equality)])).
% cnf(28419,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false),inference(rw,[status(thm)],[28383,210,theory(equality)])).
% cnf(28420,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[28419,theory(equality)])).
% cnf(28431,plain,(sdtpldt0(sz0z00,xP)=xP|~aScalar0(xP)),inference(spm,[status(thm)],[231,28420,theory(equality)])).
% cnf(28468,plain,(sdtpldt0(sz0z00,xP)=xP|$false),inference(rw,[status(thm)],[28431,210,theory(equality)])).
% cnf(28469,plain,(sdtpldt0(sz0z00,xP)=xP),inference(cn,[status(thm)],[28468,theory(equality)])).
% cnf(28494,plain,(sdtpldt0(xP,sz0z00)=xP),inference(rw,[status(thm)],[28420,28469,theory(equality)])).
% cnf(28658,plain,(sdtpldt0(smndt0(xR),sdtasdt0(xC,xG))=sz0z00|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[26094,703,theory(equality)])).
% cnf(28700,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|~aScalar0(xC)|~aScalar0(xG)),inference(rw,[status(thm)],[28658,207,theory(equality)])).
% cnf(28701,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|$false|~aScalar0(xG)),inference(rw,[status(thm)],[28700,196,theory(equality)])).
% cnf(28702,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|$false|$false),inference(rw,[status(thm)],[28701,204,theory(equality)])).
% cnf(28703,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00),inference(cn,[status(thm)],[28702,theory(equality)])).
% cnf(28823,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|~aScalar0(xR)),inference(spm,[status(thm)],[20715,28703,theory(equality)])).
% cnf(28859,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false),inference(rw,[status(thm)],[28823,208,theory(equality)])).
% cnf(28860,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)),inference(cn,[status(thm)],[28859,theory(equality)])).
% cnf(28871,plain,(sdtpldt0(sz0z00,xR)=xR|~aScalar0(xR)),inference(spm,[status(thm)],[231,28860,theory(equality)])).
% cnf(28908,plain,(sdtpldt0(sz0z00,xR)=xR|$false),inference(rw,[status(thm)],[28871,208,theory(equality)])).
% cnf(28909,plain,(sdtpldt0(sz0z00,xR)=xR),inference(cn,[status(thm)],[28908,theory(equality)])).
% cnf(28934,plain,(sdtpldt0(xR,sz0z00)=xR),inference(rw,[status(thm)],[28860,28909,theory(equality)])).
% cnf(45193,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)|~aScalar0(xR)),inference(spm,[status(thm)],[28089,28934,theory(equality)])).
% cnf(45266,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)|$false),inference(rw,[status(thm)],[45193,208,theory(equality)])).
% cnf(45267,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)),inference(cn,[status(thm)],[45266,theory(equality)])).
% cnf(45337,plain,(aScalar0(sdtpldt0(xR,xS))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[91,45267,theory(equality)])).
% cnf(45349,plain,(aScalar0(sdtpldt0(xR,xS))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[45337,208,theory(equality)])).
% cnf(45350,plain,(aScalar0(sdtpldt0(xR,xS))|$false|$false),inference(rw,[status(thm)],[45349,212,theory(equality)])).
% cnf(45351,plain,(aScalar0(sdtpldt0(xR,xS))),inference(cn,[status(thm)],[45350,theory(equality)])).
% cnf(295056,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[1210,220,theory(equality)])).
% cnf(295528,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[295056,45351,theory(equality)])).
% cnf(295529,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[295528,theory(equality)])).
% cnf(300882,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,xD))|~aScalar0(xD)),inference(spm,[status(thm)],[1259,292,theory(equality)])).
% cnf(301112,plain,(sdtlseqdt0(sz0z00,xS)|~aScalar0(xD)),inference(rw,[status(thm)],[300882,211,theory(equality)])).
% cnf(301113,plain,(sdtlseqdt0(sz0z00,xS)|$false),inference(rw,[status(thm)],[301112,198,theory(equality)])).
% cnf(301114,plain,(sdtlseqdt0(sz0z00,xS)),inference(cn,[status(thm)],[301113,theory(equality)])).
% cnf(301120,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xS)),inference(spm,[status(thm)],[115,301114,theory(equality)])).
% cnf(301166,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|$false|~aScalar0(xS)),inference(rw,[status(thm)],[301120,88,theory(equality)])).
% cnf(301167,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|$false|$false),inference(rw,[status(thm)],[301166,212,theory(equality)])).
% cnf(301168,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)),inference(cn,[status(thm)],[301167,theory(equality)])).
% cnf(307022,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(xP)),inference(spm,[status(thm)],[295529,91,theory(equality)])).
% cnf(307027,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false),inference(rw,[status(thm)],[307022,210,theory(equality)])).
% cnf(307028,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))),inference(cn,[status(thm)],[307027,theory(equality)])).
% cnf(307049,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,sdtpldt0(xP,sz0z00)))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[307028,101,theory(equality)])).
% cnf(307073,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[307049,28494,theory(equality)])).
% cnf(307074,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[307073,210,theory(equality)])).
% cnf(307075,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[307074,88,theory(equality)])).
% cnf(307076,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[307075,theory(equality)])).
% cnf(307111,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))),inference(spm,[status(thm)],[1210,307076,theory(equality)])).
% cnf(307242,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,xG))|~aScalar0(xG)),inference(spm,[status(thm)],[1301,282,theory(equality)])).
% cnf(307484,plain,(sdtlseqdt0(sz0z00,xR)|~aScalar0(xG)),inference(rw,[status(thm)],[307242,207,theory(equality)])).
% cnf(307485,plain,(sdtlseqdt0(sz0z00,xR)|$false),inference(rw,[status(thm)],[307484,204,theory(equality)])).
% cnf(307486,plain,(sdtlseqdt0(sz0z00,xR)),inference(cn,[status(thm)],[307485,theory(equality)])).
% cnf(307496,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xR)),inference(spm,[status(thm)],[115,307486,theory(equality)])).
% cnf(307548,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xR)),inference(rw,[status(thm)],[307496,88,theory(equality)])).
% cnf(307549,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|$false|$false),inference(rw,[status(thm)],[307548,208,theory(equality)])).
% cnf(307550,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[307549,theory(equality)])).
% cnf(339489,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))|~aScalar0(xP)),inference(spm,[status(thm)],[307111,91,theory(equality)])).
% cnf(339494,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))|$false),inference(rw,[status(thm)],[339489,210,theory(equality)])).
% cnf(339495,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))),inference(cn,[status(thm)],[339494,theory(equality)])).
% cnf(339503,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sz0z00)|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[339495,91,theory(equality)])).
% cnf(339540,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false|~aScalar0(sdtpldt0(xR,xS))),inference(rw,[status(thm)],[339503,88,theory(equality)])).
% cnf(339541,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false|$false),inference(rw,[status(thm)],[339540,45351,theory(equality)])).
% cnf(339542,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))),inference(cn,[status(thm)],[339541,theory(equality)])).
% cnf(339565,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,sdtpldt0(xP,sz0z00)))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[339542,101,theory(equality)])).
% cnf(339596,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[339565,28494,theory(equality)])).
% cnf(339597,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[339596,210,theory(equality)])).
% cnf(339598,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[339597,88,theory(equality)])).
% cnf(339599,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[339598,theory(equality)])).
% cnf(343013,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[8689,2817,theory(equality)])).
% cnf(343035,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[254,2817,theory(equality)])).
% cnf(343479,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xR)|~aScalar0(xS)),inference(rw,[status(thm)],[343013,88,theory(equality)])).
% cnf(343480,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|$false|~aScalar0(xS)),inference(rw,[status(thm)],[343479,208,theory(equality)])).
% cnf(343481,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|$false|$false),inference(rw,[status(thm)],[343480,212,theory(equality)])).
% cnf(343482,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[343481,theory(equality)])).
% cnf(343483,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[343035,208,theory(equality)])).
% cnf(343484,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[343483,212,theory(equality)])).
% cnf(343485,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[343484,theory(equality)])).
% cnf(344515,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)),inference(csr,[status(thm)],[343485,343482])).
% cnf(344516,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,xS)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[115,344515,theory(equality)])).
% cnf(344536,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xS)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[344516,301114,theory(equality)])).
% cnf(344537,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[344536,212,theory(equality)])).
% cnf(344538,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|$false|$false),inference(rw,[status(thm)],[344537,88,theory(equality)])).
% cnf(344539,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[344538,theory(equality)])).
% cnf(344594,negated_conjecture,(sz0z00=xR|xS=sz0z00|~sdtlseqdt0(sz0z00,xR)|~aScalar0(xR)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[115,344539,theory(equality)])).
% cnf(344614,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|~aScalar0(xR)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[344594,307486,theory(equality)])).
% cnf(344615,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[344614,208,theory(equality)])).
% cnf(344616,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|$false|$false),inference(rw,[status(thm)],[344615,88,theory(equality)])).
% cnf(344617,negated_conjecture,(sz0z00=xR|xS=sz0z00),inference(cn,[status(thm)],[344616,theory(equality)])).
% cnf(344674,negated_conjecture,(sdtlseqdt0(sdtpldt0(xR,sz0z00),sdtpldt0(xP,xP))|xR=sz0z00),inference(spm,[status(thm)],[220,344617,theory(equality)])).
% cnf(344676,negated_conjecture,(xR=sz0z00|~sdtlseqdt0(sz0z00,sdtpldt0(xR,sz0z00))|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(spm,[status(thm)],[254,344617,theory(equality)])).
% cnf(345464,negated_conjecture,(sdtlseqdt0(xR,sdtpldt0(xP,xP))|xR=sz0z00),inference(rw,[status(thm)],[344674,28934,theory(equality)])).
% cnf(345466,negated_conjecture,(xR=sz0z00|$false|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[344676,28934,theory(equality)]),307486,theory(equality)])).
% cnf(345467,negated_conjecture,(xR=sz0z00|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[345466,theory(equality)])).
% cnf(424159,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(xR)),inference(spm,[status(thm)],[3729,345464,theory(equality)])).
% cnf(425609,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[424159,208,theory(equality)])).
% cnf(425610,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[425609,theory(equality)])).
% cnf(428861,negated_conjecture,(xR=sz0z00|sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xP,xP))),inference(csr,[status(thm)],[425610,307550])).
% cnf(428862,negated_conjecture,(xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))),inference(csr,[status(thm)],[428861,345467])).
% cnf(428865,negated_conjecture,(xR=sz0z00|~aScalar0(xP)),inference(spm,[status(thm)],[428862,91,theory(equality)])).
% cnf(428870,negated_conjecture,(xR=sz0z00|$false),inference(rw,[status(thm)],[428865,210,theory(equality)])).
% cnf(428871,negated_conjecture,(xR=sz0z00),inference(cn,[status(thm)],[428870,theory(equality)])).
% cnf(429280,plain,(sdtlseqdt0(xS,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[339599,428871,theory(equality)]),28029,theory(equality)]),28054,theory(equality)]),28054,theory(equality)])).
% cnf(429884,negated_conjecture,($false|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[254,428871,theory(equality)]),28029,theory(equality)]),301114,theory(equality)])).
% cnf(429885,negated_conjecture,(~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[429884,theory(equality)])).
% cnf(430082,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(xS)),inference(spm,[status(thm)],[3729,429280,theory(equality)])).
% cnf(430102,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[430082,212,theory(equality)])).
% cnf(430103,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[430102,theory(equality)])).
% cnf(430104,plain,(sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))),inference(sr,[status(thm)],[430103,429885,theory(equality)])).
% cnf(433136,plain,(sdtlseqdt0(xS,sz0z00)|~aScalar0(xP)),inference(spm,[status(thm)],[430104,91,theory(equality)])).
% cnf(433141,plain,(sdtlseqdt0(xS,sz0z00)|$false),inference(rw,[status(thm)],[433136,210,theory(equality)])).
% cnf(433142,plain,(sdtlseqdt0(xS,sz0z00)),inference(cn,[status(thm)],[433141,theory(equality)])).
% cnf(433237,plain,(xS=sz0z00|$false),inference(rw,[status(thm)],[301168,433142,theory(equality)])).
% cnf(433238,plain,(xS=sz0z00),inference(cn,[status(thm)],[433237,theory(equality)])).
% cnf(433630,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[429280,433238,theory(equality)])).
% cnf(433631,plain,($false),inference(sr,[status(thm)],[433630,429885,theory(equality)])).
% cnf(433632,plain,($false),433631,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6172
% # ...of these trivial : 506
% # ...subsumed : 1892
% # ...remaining for further processing: 3774
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 195
% # Backward-rewritten : 2684
% # Generated clauses : 139466
% # ...of the previous two non-trivial : 119468
% # Contextual simplify-reflections : 961
% # Paramodulations : 139434
% # Factorizations : 4
% # Equation resolutions : 28
% # Current number of processed clauses: 895
% # Positive orientable unit clauses: 346
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 547
% # Current number of unprocessed clauses: 35457
% # ...number of literals in the above : 159034
% # Clause-clause subsumption calls (NU) : 86653
% # Rec. Clause-clause subsumption calls : 43455
% # Unit Clause-clause subsumption calls : 3360
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8586
% # Indexed BW rewrite successes : 635
% # Backwards rewriting index: 860 leaves, 1.91+/-4.033 terms/leaf
% # Paramod-from index: 367 leaves, 1.58+/-4.448 terms/leaf
% # Paramod-into index: 627 leaves, 1.76+/-4.085 terms/leaf
% # -------------------------------------------------
% # User time : 6.241 s
% # System time : 0.229 s
% # Total time : 6.470 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.10 CPU 13.01 WC
% FINAL PrfWatch: 12.10 CPU 13.01 WC
% SZS output end Solution for /tmp/SystemOnTPTP27787/RNG071+2.tptp
%
%------------------------------------------------------------------------------