TSTP Solution File: RNG071+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG071+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.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 22:21:42 EST 2010
% Result : Theorem 13.11s
% Output : Solution 13.11s
% 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/SystemOnTPTP2022/RNG071+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP2022/RNG071+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP2022/RNG071+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 2187
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% PrfWatch: 3.91 CPU 4.03 WC
% PrfWatch: 5.90 CPU 6.03 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.91 CPU 8.04 WC
% PrfWatch: 9.89 CPU 10.04 WC
% PrfWatch: 11.89 CPU 12.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aScalar0(sz0z00),file('/tmp/SRASS.s.p', mSZeroSc)).
% fof(2, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSumSc)).
% fof(3, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>aScalar0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mMulSc)).
% fof(4, 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(7, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(X1,X1)),file('/tmp/SRASS.s.p', mLERef)).
% fof(8, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEASm)).
% fof(9, 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(10, 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(12, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1))),file('/tmp/SRASS.s.p', mLETot)).
% fof(13, 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(14, axiom,![X1]:(aScalar0(X1)=>sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),file('/tmp/SRASS.s.p', mSqPos)).
% fof(20, axiom,![X1]:(aVector0(X1)=>sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))),file('/tmp/SRASS.s.p', mScSqPos)).
% fof(25, axiom,(aVector0(xp)&xp=sziznziztdt0(xs)),file('/tmp/SRASS.s.p', m__1709)).
% fof(26, axiom,(aVector0(xq)&xq=sziznziztdt0(xt)),file('/tmp/SRASS.s.p', m__1726)).
% fof(27, axiom,(aScalar0(xA)&xA=sdtlbdtrb0(xs,aDimensionOf0(xs))),file('/tmp/SRASS.s.p', m__1746)).
% fof(28, axiom,(aScalar0(xB)&xB=sdtlbdtrb0(xt,aDimensionOf0(xt))),file('/tmp/SRASS.s.p', m__1766)).
% fof(29, axiom,(aScalar0(xC)&xC=sdtasasdt0(xp,xp)),file('/tmp/SRASS.s.p', m__1783)).
% fof(30, axiom,(aScalar0(xD)&xD=sdtasasdt0(xq,xq)),file('/tmp/SRASS.s.p', m__1800)).
% fof(31, axiom,(aScalar0(xE)&xE=sdtasasdt0(xp,xq)),file('/tmp/SRASS.s.p', m__1820)).
% fof(32, axiom,(aScalar0(xF)&xF=sdtasdt0(xA,xA)),file('/tmp/SRASS.s.p', m__1837)).
% fof(33, axiom,(aScalar0(xG)&xG=sdtasdt0(xB,xB)),file('/tmp/SRASS.s.p', m__1854)).
% fof(34, axiom,(aScalar0(xH)&xH=sdtasdt0(xA,xB)),file('/tmp/SRASS.s.p', m__1873)).
% fof(35, axiom,(aScalar0(xR)&xR=sdtasdt0(xC,xG)),file('/tmp/SRASS.s.p', m__1892)).
% fof(36, axiom,(aScalar0(xP)&xP=sdtasdt0(xE,xH)),file('/tmp/SRASS.s.p', m__1911)).
% fof(37, axiom,(aScalar0(xS)&xS=sdtasdt0(xF,xD)),file('/tmp/SRASS.s.p', m__1930)).
% fof(44, axiom,sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),file('/tmp/SRASS.s.p', m__2610)).
% fof(45, 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(49, 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(57, 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(70,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[1])).
% fof(71, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(72, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[71])).
% cnf(73,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[72])).
% fof(74, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(75, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[74])).
% cnf(76,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(77, 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)],[4])).
% fof(78, 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)],[77])).
% fof(79, 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)],[78])).
% cnf(82,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[79])).
% cnf(83,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[79])).
% fof(92, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(X1,X1)),inference(fof_nnf,[status(thm)],[7])).
% fof(93, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(X2,X2)),inference(variable_rename,[status(thm)],[92])).
% cnf(94,plain,(sdtlseqdt0(X1,X1)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(95, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[8])).
% fof(96, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[95])).
% cnf(97,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[96])).
% fof(98, plain,![X1]:![X2]:![X3]:(((~(aScalar0(X1))|~(aScalar0(X2)))|~(aScalar0(X3)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X3)))|sdtlseqdt0(X1,X3))),inference(fof_nnf,[status(thm)],[9])).
% fof(99, plain,![X4]:![X5]:![X6]:(((~(aScalar0(X4))|~(aScalar0(X5)))|~(aScalar0(X6)))|((~(sdtlseqdt0(X4,X5))|~(sdtlseqdt0(X5,X6)))|sdtlseqdt0(X4,X6))),inference(variable_rename,[status(thm)],[98])).
% cnf(100,plain,(sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aScalar0(X2)|~aScalar0(X3)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[99])).
% fof(101, 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)],[10])).
% fof(102, 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)],[101])).
% cnf(103,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)],[102])).
% fof(107, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1))),inference(fof_nnf,[status(thm)],[12])).
% fof(108, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|(sdtlseqdt0(X3,X4)|sdtlseqdt0(X4,X3))),inference(variable_rename,[status(thm)],[107])).
% cnf(109,plain,(sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[108])).
% fof(110, 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)],[13])).
% fof(111, 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)],[110])).
% fof(112, 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)],[111])).
% cnf(113,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,X2)),inference(split_conjunct,[status(thm)],[112])).
% cnf(114,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,X2)),inference(split_conjunct,[status(thm)],[112])).
% fof(115, plain,![X1]:(~(aScalar0(X1))|sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(116, plain,![X2]:(~(aScalar0(X2))|sdtlseqdt0(sz0z00,sdtasdt0(X2,X2))),inference(variable_rename,[status(thm)],[115])).
% cnf(117,plain,(sdtlseqdt0(sz0z00,sdtasdt0(X1,X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[116])).
% fof(133, plain,![X1]:(~(aVector0(X1))|sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))),inference(fof_nnf,[status(thm)],[20])).
% fof(134, plain,![X2]:(~(aVector0(X2))|sdtlseqdt0(sz0z00,sdtasasdt0(X2,X2))),inference(variable_rename,[status(thm)],[133])).
% cnf(135,plain,(sdtlseqdt0(sz0z00,sdtasasdt0(X1,X1))|~aVector0(X1)),inference(split_conjunct,[status(thm)],[134])).
% cnf(144,plain,(aVector0(xp)),inference(split_conjunct,[status(thm)],[25])).
% cnf(146,plain,(aVector0(xq)),inference(split_conjunct,[status(thm)],[26])).
% cnf(148,plain,(aScalar0(xA)),inference(split_conjunct,[status(thm)],[27])).
% cnf(150,plain,(aScalar0(xB)),inference(split_conjunct,[status(thm)],[28])).
% cnf(151,plain,(xC=sdtasasdt0(xp,xp)),inference(split_conjunct,[status(thm)],[29])).
% cnf(152,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[29])).
% cnf(153,plain,(xD=sdtasasdt0(xq,xq)),inference(split_conjunct,[status(thm)],[30])).
% cnf(154,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[30])).
% cnf(156,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[31])).
% cnf(157,plain,(xF=sdtasdt0(xA,xA)),inference(split_conjunct,[status(thm)],[32])).
% cnf(158,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[32])).
% cnf(159,plain,(xG=sdtasdt0(xB,xB)),inference(split_conjunct,[status(thm)],[33])).
% cnf(160,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[33])).
% cnf(162,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[34])).
% cnf(163,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[35])).
% cnf(164,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[35])).
% cnf(165,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[36])).
% cnf(166,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[36])).
% cnf(167,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[37])).
% cnf(168,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[37])).
% cnf(176,plain,(sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))),inference(split_conjunct,[status(thm)],[44])).
% fof(177, 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)],[45])).
% fof(178, 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)],[177])).
% fof(179, 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)],[178])).
% cnf(182,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(183,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(184,plain,(sdtasdt0(sz0z00,X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(186,plain,(sdtpldt0(sz0z00,X1)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[179])).
% cnf(187,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[179])).
% fof(204, 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)],[49])).
% fof(205, 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)],[204])).
% fof(206, 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)],[205])).
% cnf(208,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[206])).
% fof(231, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[57])).
% fof(232, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[231])).
% cnf(233,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[232])).
% fof(243, negated_conjecture,(~(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)))|~(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)))),inference(fof_nnf,[status(thm)],[63])).
% cnf(244,negated_conjecture,(~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),inference(split_conjunct,[status(thm)],[243])).
% cnf(265,plain,(sdtlseqdt0(sz0z00,xG)|~aScalar0(xB)),inference(spm,[status(thm)],[117,159,theory(equality)])).
% cnf(266,plain,(sdtlseqdt0(sz0z00,xF)|~aScalar0(xA)),inference(spm,[status(thm)],[117,157,theory(equality)])).
% cnf(267,plain,(sdtlseqdt0(sz0z00,sz0z00)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[117,184,theory(equality)])).
% cnf(269,plain,(sdtlseqdt0(sz0z00,xG)|$false),inference(rw,[status(thm)],[265,150,theory(equality)])).
% cnf(270,plain,(sdtlseqdt0(sz0z00,xG)),inference(cn,[status(thm)],[269,theory(equality)])).
% cnf(271,plain,(sdtlseqdt0(sz0z00,xF)|$false),inference(rw,[status(thm)],[266,148,theory(equality)])).
% cnf(272,plain,(sdtlseqdt0(sz0z00,xF)),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(273,plain,(sdtlseqdt0(sz0z00,sz0z00)|$false),inference(rw,[status(thm)],[267,70,theory(equality)])).
% cnf(274,plain,(sdtlseqdt0(sz0z00,sz0z00)),inference(cn,[status(thm)],[273,theory(equality)])).
% cnf(277,plain,(sdtlseqdt0(sz0z00,xD)|~aVector0(xq)),inference(spm,[status(thm)],[135,153,theory(equality)])).
% cnf(278,plain,(sdtlseqdt0(sz0z00,xC)|~aVector0(xp)),inference(spm,[status(thm)],[135,151,theory(equality)])).
% cnf(279,plain,(sdtlseqdt0(sz0z00,xD)|$false),inference(rw,[status(thm)],[277,146,theory(equality)])).
% cnf(280,plain,(sdtlseqdt0(sz0z00,xD)),inference(cn,[status(thm)],[279,theory(equality)])).
% cnf(281,plain,(sdtlseqdt0(sz0z00,xC)|$false),inference(rw,[status(thm)],[278,144,theory(equality)])).
% cnf(282,plain,(sdtlseqdt0(sz0z00,xC)),inference(cn,[status(thm)],[281,theory(equality)])).
% cnf(352,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[114,94,theory(equality)])).
% cnf(355,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[352,70,theory(equality)])).
% cnf(356,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[355,theory(equality)])).
% cnf(359,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[114,109,theory(equality)])).
% cnf(361,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[359,70,theory(equality)])).
% cnf(362,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|~sdtlseqdt0(sz0z00,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[361,theory(equality)])).
% cnf(456,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)),inference(spm,[status(thm)],[100,176,theory(equality)])).
% cnf(607,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[82,83,theory(equality)])).
% cnf(609,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[82,83,theory(equality)])).
% cnf(612,plain,(sdtpldt0(sz0z00,X2)=sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))|~aScalar0(X1)|~aScalar0(smndt0(X1))|~aScalar0(X2)),inference(spm,[status(thm)],[83,183,theory(equality)])).
% cnf(650,plain,(sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2))=sz0z00|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[182,208,theory(equality)])).
% cnf(655,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[208,167,theory(equality)])).
% cnf(656,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[208,165,theory(equality)])).
% cnf(657,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[208,163,theory(equality)])).
% cnf(668,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[655,158,theory(equality)])).
% cnf(669,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[668,154,theory(equality)])).
% cnf(670,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[669,theory(equality)])).
% cnf(671,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|~aScalar0(xH)),inference(rw,[status(thm)],[656,156,theory(equality)])).
% cnf(672,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|$false),inference(rw,[status(thm)],[671,162,theory(equality)])).
% cnf(673,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))),inference(cn,[status(thm)],[672,theory(equality)])).
% cnf(674,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|~aScalar0(xG)),inference(rw,[status(thm)],[657,152,theory(equality)])).
% cnf(675,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|$false),inference(rw,[status(thm)],[674,160,theory(equality)])).
% cnf(676,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))),inference(cn,[status(thm)],[675,theory(equality)])).
% cnf(1164,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|~aScalar0(sz0z00)|~aScalar0(X2)|~aScalar0(X1)),inference(spm,[status(thm)],[103,274,theory(equality)])).
% cnf(1170,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|$false|~aScalar0(X2)|~aScalar0(X1)),inference(rw,[status(thm)],[1164,70,theory(equality)])).
% cnf(1171,plain,(sdtlseqdt0(sdtpldt0(X1,sz0z00),sdtpldt0(X2,sz0z00))|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(cn,[status(thm)],[1170,theory(equality)])).
% cnf(1205,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(xF)|~aScalar0(X1)),inference(spm,[status(thm)],[113,272,theory(equality)])).
% cnf(1219,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1205,158,theory(equality)])).
% cnf(1220,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[1219,theory(equality)])).
% cnf(1247,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(xC)|~aScalar0(X1)),inference(spm,[status(thm)],[113,282,theory(equality)])).
% cnf(1261,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[1247,152,theory(equality)])).
% cnf(1262,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,X1))|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[1261,theory(equality)])).
% cnf(1321,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[356,109,theory(equality)])).
% cnf(1332,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)|$false),inference(rw,[status(thm)],[1321,70,theory(equality)])).
% cnf(1333,plain,(sdtlseqdt0(sz0z00,sdtpldt0(sz0z00,X1))|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)),inference(cn,[status(thm)],[1332,theory(equality)])).
% cnf(2536,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[362,109,theory(equality)])).
% cnf(2555,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)|$false),inference(rw,[status(thm)],[2536,70,theory(equality)])).
% cnf(2556,plain,(sdtlseqdt0(sz0z00,sdtpldt0(X1,X2))|sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(X2,sz0z00)|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[2555,theory(equality)])).
% cnf(3083,plain,(sdtlseqdt0(sz0z00,X1)|sdtlseqdt0(X1,sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[1333,186,theory(equality)])).
% cnf(3502,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[100,3083,theory(equality)])).
% cnf(3538,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|$false|~aScalar0(X1)),inference(rw,[status(thm)],[3502,70,theory(equality)])).
% cnf(3539,plain,(sdtlseqdt0(X1,sz0z00)|sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(cn,[status(thm)],[3538,theory(equality)])).
% cnf(6947,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)],[456,73,theory(equality)])).
% cnf(6948,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)|$false|~aScalar0(xR)),inference(rw,[status(thm)],[6947,168,theory(equality)])).
% cnf(6949,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[6948,164,theory(equality)])).
% cnf(6950,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(X1)),inference(cn,[status(thm)],[6949,theory(equality)])).
% cnf(7066,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)|~aScalar0(xP)),inference(spm,[status(thm)],[6950,73,theory(equality)])).
% cnf(7071,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)|$false),inference(rw,[status(thm)],[7066,166,theory(equality)])).
% cnf(7072,plain,(sdtlseqdt0(X1,sdtpldt0(xP,xP))|~sdtlseqdt0(X1,sdtpldt0(xR,xS))|~aScalar0(X1)),inference(cn,[status(thm)],[7071,theory(equality)])).
% cnf(16181,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[607,73])).
% cnf(17503,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)],[609,16181])).
% cnf(17504,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[17503,73])).
% cnf(19716,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(sz0z00,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(csr,[status(thm)],[612,233])).
% cnf(26533,plain,(sdtpldt0(sdtasdt0(X1,smndt0(X2)),sdtasdt0(X1,X2))=sz0z00|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[650,76])).
% cnf(27905,plain,(sdtpldt0(smndt0(xS),sdtasdt0(xF,xD))=sz0z00|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[26533,670,theory(equality)])).
% cnf(27947,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|~aScalar0(xF)|~aScalar0(xD)),inference(rw,[status(thm)],[27905,167,theory(equality)])).
% cnf(27948,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|$false|~aScalar0(xD)),inference(rw,[status(thm)],[27947,158,theory(equality)])).
% cnf(27949,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|$false|$false),inference(rw,[status(thm)],[27948,154,theory(equality)])).
% cnf(27950,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00),inference(cn,[status(thm)],[27949,theory(equality)])).
% cnf(28006,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|~aScalar0(xS)),inference(spm,[status(thm)],[19716,27950,theory(equality)])).
% cnf(28042,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false),inference(rw,[status(thm)],[28006,168,theory(equality)])).
% cnf(28043,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)),inference(cn,[status(thm)],[28042,theory(equality)])).
% cnf(28054,plain,(sdtpldt0(sz0z00,xS)=xS|~aScalar0(xS)),inference(spm,[status(thm)],[187,28043,theory(equality)])).
% cnf(28091,plain,(sdtpldt0(sz0z00,xS)=xS|$false),inference(rw,[status(thm)],[28054,168,theory(equality)])).
% cnf(28092,plain,(sdtpldt0(sz0z00,xS)=xS),inference(cn,[status(thm)],[28091,theory(equality)])).
% cnf(28112,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|~aScalar0(xS)|~aScalar0(X1)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[17504,28092,theory(equality)])).
% cnf(28117,plain,(sdtpldt0(xS,sz0z00)=xS),inference(rw,[status(thm)],[28043,28092,theory(equality)])).
% cnf(28150,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|$false|~aScalar0(X1)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[28112,168,theory(equality)])).
% cnf(28151,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[28150,70,theory(equality)])).
% cnf(28152,plain,(sdtpldt0(xS,sdtpldt0(X1,sz0z00))=sdtpldt0(X1,xS)|~aScalar0(X1)),inference(cn,[status(thm)],[28151,theory(equality)])).
% cnf(28313,plain,(sdtpldt0(smndt0(xP),sdtasdt0(xE,xH))=sz0z00|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[26533,673,theory(equality)])).
% cnf(28355,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|~aScalar0(xE)|~aScalar0(xH)),inference(rw,[status(thm)],[28313,165,theory(equality)])).
% cnf(28356,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|$false|~aScalar0(xH)),inference(rw,[status(thm)],[28355,156,theory(equality)])).
% cnf(28357,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00|$false|$false),inference(rw,[status(thm)],[28356,162,theory(equality)])).
% cnf(28358,plain,(sdtpldt0(smndt0(xP),xP)=sz0z00),inference(cn,[status(thm)],[28357,theory(equality)])).
% cnf(28446,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|~aScalar0(xP)),inference(spm,[status(thm)],[19716,28358,theory(equality)])).
% cnf(28482,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false),inference(rw,[status(thm)],[28446,166,theory(equality)])).
% cnf(28483,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[28482,theory(equality)])).
% cnf(28494,plain,(sdtpldt0(sz0z00,xP)=xP|~aScalar0(xP)),inference(spm,[status(thm)],[187,28483,theory(equality)])).
% cnf(28531,plain,(sdtpldt0(sz0z00,xP)=xP|$false),inference(rw,[status(thm)],[28494,166,theory(equality)])).
% cnf(28532,plain,(sdtpldt0(sz0z00,xP)=xP),inference(cn,[status(thm)],[28531,theory(equality)])).
% cnf(28557,plain,(sdtpldt0(xP,sz0z00)=xP),inference(rw,[status(thm)],[28483,28532,theory(equality)])).
% cnf(28721,plain,(sdtpldt0(smndt0(xR),sdtasdt0(xC,xG))=sz0z00|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[26533,676,theory(equality)])).
% cnf(28763,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|~aScalar0(xC)|~aScalar0(xG)),inference(rw,[status(thm)],[28721,163,theory(equality)])).
% cnf(28764,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|$false|~aScalar0(xG)),inference(rw,[status(thm)],[28763,152,theory(equality)])).
% cnf(28765,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00|$false|$false),inference(rw,[status(thm)],[28764,160,theory(equality)])).
% cnf(28766,plain,(sdtpldt0(smndt0(xR),xR)=sz0z00),inference(cn,[status(thm)],[28765,theory(equality)])).
% cnf(28886,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|~aScalar0(xR)),inference(spm,[status(thm)],[19716,28766,theory(equality)])).
% cnf(28922,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false),inference(rw,[status(thm)],[28886,164,theory(equality)])).
% cnf(28923,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)),inference(cn,[status(thm)],[28922,theory(equality)])).
% cnf(28934,plain,(sdtpldt0(sz0z00,xR)=xR|~aScalar0(xR)),inference(spm,[status(thm)],[187,28923,theory(equality)])).
% cnf(28971,plain,(sdtpldt0(sz0z00,xR)=xR|$false),inference(rw,[status(thm)],[28934,164,theory(equality)])).
% cnf(28972,plain,(sdtpldt0(sz0z00,xR)=xR),inference(cn,[status(thm)],[28971,theory(equality)])).
% cnf(28997,plain,(sdtpldt0(xR,sz0z00)=xR),inference(rw,[status(thm)],[28923,28972,theory(equality)])).
% cnf(43206,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)|~aScalar0(xR)),inference(spm,[status(thm)],[28152,28997,theory(equality)])).
% cnf(43279,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)|$false),inference(rw,[status(thm)],[43206,164,theory(equality)])).
% cnf(43280,plain,(sdtpldt0(xS,xR)=sdtpldt0(xR,xS)),inference(cn,[status(thm)],[43279,theory(equality)])).
% cnf(43350,plain,(aScalar0(sdtpldt0(xR,xS))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[73,43280,theory(equality)])).
% cnf(43362,plain,(aScalar0(sdtpldt0(xR,xS))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[43350,164,theory(equality)])).
% cnf(43363,plain,(aScalar0(sdtpldt0(xR,xS))|$false|$false),inference(rw,[status(thm)],[43362,168,theory(equality)])).
% cnf(43364,plain,(aScalar0(sdtpldt0(xR,xS))),inference(cn,[status(thm)],[43363,theory(equality)])).
% cnf(294878,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[1171,176,theory(equality)])).
% cnf(295366,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[294878,43364,theory(equality)])).
% cnf(295367,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[295366,theory(equality)])).
% cnf(300713,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xF,xD))|~aScalar0(xD)),inference(spm,[status(thm)],[1220,280,theory(equality)])).
% cnf(300942,plain,(sdtlseqdt0(sz0z00,xS)|~aScalar0(xD)),inference(rw,[status(thm)],[300713,167,theory(equality)])).
% cnf(300943,plain,(sdtlseqdt0(sz0z00,xS)|$false),inference(rw,[status(thm)],[300942,154,theory(equality)])).
% cnf(300944,plain,(sdtlseqdt0(sz0z00,xS)),inference(cn,[status(thm)],[300943,theory(equality)])).
% cnf(300950,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xS)),inference(spm,[status(thm)],[97,300944,theory(equality)])).
% cnf(300996,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|$false|~aScalar0(xS)),inference(rw,[status(thm)],[300950,70,theory(equality)])).
% cnf(300997,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)|$false|$false),inference(rw,[status(thm)],[300996,168,theory(equality)])).
% cnf(300998,plain,(xS=sz0z00|~sdtlseqdt0(xS,sz0z00)),inference(cn,[status(thm)],[300997,theory(equality)])).
% cnf(306942,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(xP)),inference(spm,[status(thm)],[295367,73,theory(equality)])).
% cnf(306947,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false),inference(rw,[status(thm)],[306942,166,theory(equality)])).
% cnf(306948,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))),inference(cn,[status(thm)],[306947,theory(equality)])).
% cnf(306969,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,sdtpldt0(xP,sz0z00)))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[306948,83,theory(equality)])).
% cnf(306993,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[306969,28557,theory(equality)])).
% cnf(306994,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[306993,166,theory(equality)])).
% cnf(306995,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[306994,70,theory(equality)])).
% cnf(306996,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[306995,theory(equality)])).
% cnf(307031,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))),inference(spm,[status(thm)],[1171,306996,theory(equality)])).
% cnf(307161,plain,(sdtlseqdt0(sz0z00,sdtasdt0(xC,xG))|~aScalar0(xG)),inference(spm,[status(thm)],[1262,270,theory(equality)])).
% cnf(307402,plain,(sdtlseqdt0(sz0z00,xR)|~aScalar0(xG)),inference(rw,[status(thm)],[307161,163,theory(equality)])).
% cnf(307403,plain,(sdtlseqdt0(sz0z00,xR)|$false),inference(rw,[status(thm)],[307402,160,theory(equality)])).
% cnf(307404,plain,(sdtlseqdt0(sz0z00,xR)),inference(cn,[status(thm)],[307403,theory(equality)])).
% cnf(307414,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xR)),inference(spm,[status(thm)],[97,307404,theory(equality)])).
% cnf(307466,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xR)),inference(rw,[status(thm)],[307414,70,theory(equality)])).
% cnf(307467,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)|$false|$false),inference(rw,[status(thm)],[307466,164,theory(equality)])).
% cnf(307468,plain,(xR=sz0z00|~sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[307467,theory(equality)])).
% cnf(333556,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))|~aScalar0(xP)),inference(spm,[status(thm)],[307031,73,theory(equality)])).
% cnf(333561,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))|$false),inference(rw,[status(thm)],[333556,166,theory(equality)])).
% cnf(333562,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sdtpldt0(sdtpldt0(xR,xS),sz0z00))),inference(cn,[status(thm)],[333561,theory(equality)])).
% cnf(333570,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|~aScalar0(sz0z00)|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[333562,73,theory(equality)])).
% cnf(333607,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false|~aScalar0(sdtpldt0(xR,xS))),inference(rw,[status(thm)],[333570,70,theory(equality)])).
% cnf(333608,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))|$false|$false),inference(rw,[status(thm)],[333607,43364,theory(equality)])).
% cnf(333609,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(sdtpldt0(xP,xP),sz0z00))),inference(cn,[status(thm)],[333608,theory(equality)])).
% cnf(333632,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,sdtpldt0(xP,sz0z00)))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[333609,83,theory(equality)])).
% cnf(333663,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[333632,28557,theory(equality)])).
% cnf(333664,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[333663,166,theory(equality)])).
% cnf(333665,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[333664,70,theory(equality)])).
% cnf(333666,plain,(sdtlseqdt0(sdtpldt0(sdtpldt0(sdtpldt0(xR,xS),sz0z00),sz0z00),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[333665,theory(equality)])).
% cnf(339329,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~aScalar0(sz0z00)|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[7072,2556,theory(equality)])).
% cnf(339351,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[244,2556,theory(equality)])).
% cnf(339795,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xR)|~aScalar0(xS)),inference(rw,[status(thm)],[339329,70,theory(equality)])).
% cnf(339796,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|$false|~aScalar0(xS)),inference(rw,[status(thm)],[339795,164,theory(equality)])).
% cnf(339797,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|$false|$false|$false),inference(rw,[status(thm)],[339796,168,theory(equality)])).
% cnf(339798,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[339797,theory(equality)])).
% cnf(339799,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[339351,164,theory(equality)])).
% cnf(339800,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|$false|$false),inference(rw,[status(thm)],[339799,168,theory(equality)])).
% cnf(339801,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[339800,theory(equality)])).
% cnf(340831,negated_conjecture,(sdtlseqdt0(xS,sz0z00)|sdtlseqdt0(xR,sz0z00)),inference(csr,[status(thm)],[339801,339798])).
% cnf(340832,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|~sdtlseqdt0(sz0z00,xS)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[97,340831,theory(equality)])).
% cnf(340852,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|~aScalar0(xS)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[340832,300944,theory(equality)])).
% cnf(340853,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[340852,168,theory(equality)])).
% cnf(340854,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)|$false|$false|$false),inference(rw,[status(thm)],[340853,70,theory(equality)])).
% cnf(340855,negated_conjecture,(sz0z00=xS|sdtlseqdt0(xR,sz0z00)),inference(cn,[status(thm)],[340854,theory(equality)])).
% cnf(340910,negated_conjecture,(sz0z00=xR|xS=sz0z00|~sdtlseqdt0(sz0z00,xR)|~aScalar0(xR)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[97,340855,theory(equality)])).
% cnf(340930,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|~aScalar0(xR)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[340910,307404,theory(equality)])).
% cnf(340931,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[340930,164,theory(equality)])).
% cnf(340932,negated_conjecture,(sz0z00=xR|xS=sz0z00|$false|$false|$false),inference(rw,[status(thm)],[340931,70,theory(equality)])).
% cnf(340933,negated_conjecture,(sz0z00=xR|xS=sz0z00),inference(cn,[status(thm)],[340932,theory(equality)])).
% cnf(340990,negated_conjecture,(sdtlseqdt0(sdtpldt0(xR,sz0z00),sdtpldt0(xP,xP))|xR=sz0z00),inference(spm,[status(thm)],[176,340933,theory(equality)])).
% cnf(340992,negated_conjecture,(xR=sz0z00|~sdtlseqdt0(sz0z00,sdtpldt0(xR,sz0z00))|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(spm,[status(thm)],[244,340933,theory(equality)])).
% cnf(341783,negated_conjecture,(sdtlseqdt0(xR,sdtpldt0(xP,xP))|xR=sz0z00),inference(rw,[status(thm)],[340990,28997,theory(equality)])).
% cnf(341785,negated_conjecture,(xR=sz0z00|$false|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[340992,28997,theory(equality)]),307404,theory(equality)])).
% cnf(341786,negated_conjecture,(xR=sz0z00|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[341785,theory(equality)])).
% cnf(420211,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(xR)),inference(spm,[status(thm)],[3539,341783,theory(equality)])).
% cnf(421731,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[420211,164,theory(equality)])).
% cnf(421732,negated_conjecture,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xR,sz0z00)|xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[421731,theory(equality)])).
% cnf(425215,negated_conjecture,(xR=sz0z00|sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xP,xP))),inference(csr,[status(thm)],[421732,307468])).
% cnf(425216,negated_conjecture,(xR=sz0z00|~aScalar0(sdtpldt0(xP,xP))),inference(csr,[status(thm)],[425215,341786])).
% cnf(425219,negated_conjecture,(xR=sz0z00|~aScalar0(xP)),inference(spm,[status(thm)],[425216,73,theory(equality)])).
% cnf(425224,negated_conjecture,(xR=sz0z00|$false),inference(rw,[status(thm)],[425219,166,theory(equality)])).
% cnf(425225,negated_conjecture,(xR=sz0z00),inference(cn,[status(thm)],[425224,theory(equality)])).
% cnf(425749,plain,(sdtlseqdt0(xS,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[333666,425225,theory(equality)]),28092,theory(equality)]),28117,theory(equality)]),28117,theory(equality)])).
% cnf(426324,negated_conjecture,($false|~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[244,425225,theory(equality)]),28092,theory(equality)]),300944,theory(equality)])).
% cnf(426325,negated_conjecture,(~sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(cn,[status(thm)],[426324,theory(equality)])).
% cnf(426526,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))|~aScalar0(xS)),inference(spm,[status(thm)],[3539,425749,theory(equality)])).
% cnf(426546,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[426526,168,theory(equality)])).
% cnf(426547,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))|sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[426546,theory(equality)])).
% cnf(426548,plain,(sdtlseqdt0(xS,sz0z00)|~aScalar0(sdtpldt0(xP,xP))),inference(sr,[status(thm)],[426547,426325,theory(equality)])).
% cnf(429697,plain,(sdtlseqdt0(xS,sz0z00)|~aScalar0(xP)),inference(spm,[status(thm)],[426548,73,theory(equality)])).
% cnf(429702,plain,(sdtlseqdt0(xS,sz0z00)|$false),inference(rw,[status(thm)],[429697,166,theory(equality)])).
% cnf(429703,plain,(sdtlseqdt0(xS,sz0z00)),inference(cn,[status(thm)],[429702,theory(equality)])).
% cnf(429806,plain,(xS=sz0z00|$false),inference(rw,[status(thm)],[300998,429703,theory(equality)])).
% cnf(429807,plain,(xS=sz0z00),inference(cn,[status(thm)],[429806,theory(equality)])).
% cnf(431200,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(rw,[status(thm)],[425749,429807,theory(equality)])).
% cnf(431201,plain,($false),inference(sr,[status(thm)],[431200,426325,theory(equality)])).
% cnf(431202,plain,($false),431201,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6216
% # ...of these trivial : 532
% # ...subsumed : 1875
% # ...remaining for further processing: 3809
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 163
% # Backward-rewritten : 2761
% # Generated clauses : 139138
% # ...of the previous two non-trivial : 119423
% # Contextual simplify-reflections : 920
% # Paramodulations : 139107
% # Factorizations : 4
% # Equation resolutions : 27
% # Current number of processed clauses: 885
% # Positive orientable unit clauses: 344
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 2
% # Non-unit-clauses : 539
% # Current number of unprocessed clauses: 35207
% # ...number of literals in the above : 159012
% # Clause-clause subsumption calls (NU) : 89756
% # Rec. Clause-clause subsumption calls : 44729
% # Unit Clause-clause subsumption calls : 3777
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 9642
% # Indexed BW rewrite successes : 637
% # Backwards rewriting index: 851 leaves, 1.92+/-4.048 terms/leaf
% # Paramod-from index: 362 leaves, 1.59+/-4.470 terms/leaf
% # Paramod-into index: 620 leaves, 1.76+/-4.074 terms/leaf
% # -------------------------------------------------
% # User time : 6.195 s
% # System time : 0.243 s
% # Total time : 6.438 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.19 CPU 12.39 WC
% FINAL PrfWatch: 12.19 CPU 12.39 WC
% SZS output end Solution for /tmp/SystemOnTPTP2022/RNG071+1.tptp
%
%------------------------------------------------------------------------------