TSTP Solution File: RNG073+2 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG073+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 22:27:48 EST 2010
% Result : Theorem 13.58s
% Output : Solution 13.58s
% 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/SystemOnTPTP29842/RNG073+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29842/RNG073+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29842/RNG073+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 29974
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.93 CPU 4.02 WC
% PrfWatch: 5.92 CPU 6.03 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.74 CPU 8.03 WC
% PrfWatch: 9.59 CPU 10.04 WC
% PrfWatch: 11.59 CPU 12.04 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(13, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEASm)).
% fof(20, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>(((sdtlseqdt0(sz0z00,X1)&sdtlseqdt0(sz0z00,X2))&sdtasdt0(X1,X1)=sdtasdt0(X2,X2))=>X1=X2)),file('/tmp/SRASS.s.p', mSqrt)).
% 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(50, axiom,sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),file('/tmp/SRASS.s.p', m__2405)).
% fof(53, axiom,(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))&sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),file('/tmp/SRASS.s.p', m__2628)).
% fof(54, axiom,sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),file('/tmp/SRASS.s.p', m__2654)).
% fof(55, 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(57, 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(60, axiom,![X1]:(aScalar0(X1)=>aScalar0(smndt0(X1))),file('/tmp/SRASS.s.p', mNegSc)).
% fof(64, conjecture,sdtpldt0(xR,xS)=sdtpldt0(xP,xP),file('/tmp/SRASS.s.p', m__)).
% fof(65, negated_conjecture,~(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)),inference(assume_negation,[status(cth)],[64])).
% fof(72, negated_conjecture,~(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)),inference(fof_simplification,[status(thm)],[65,theory(equality)])).
% cnf(91,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[6])).
% fof(92, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[7])).
% fof(93, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[92])).
% cnf(94,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(95, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[8])).
% fof(96, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[95])).
% cnf(97,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[96])).
% fof(98, 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(99, 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)],[98])).
% fof(100, 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)],[99])).
% cnf(103,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[100])).
% cnf(104,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[100])).
% fof(116, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[13])).
% fof(117, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[116])).
% cnf(118,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[117])).
% fof(139, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|(((~(sdtlseqdt0(sz0z00,X1))|~(sdtlseqdt0(sz0z00,X2)))|~(sdtasdt0(X1,X1)=sdtasdt0(X2,X2)))|X1=X2)),inference(fof_nnf,[status(thm)],[20])).
% fof(140, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|(((~(sdtlseqdt0(sz0z00,X3))|~(sdtlseqdt0(sz0z00,X4)))|~(sdtasdt0(X3,X3)=sdtasdt0(X4,X4)))|X3=X4)),inference(variable_rename,[status(thm)],[139])).
% cnf(141,plain,(X1=X2|sdtasdt0(X1,X1)!=sdtasdt0(X2,X2)|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[140])).
% cnf(199,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[37])).
% cnf(201,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[38])).
% cnf(203,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[39])).
% cnf(205,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[40])).
% cnf(207,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[41])).
% cnf(209,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[42])).
% cnf(210,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[43])).
% cnf(211,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[43])).
% cnf(212,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[44])).
% cnf(213,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[44])).
% cnf(214,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[45])).
% cnf(215,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[45])).
% cnf(221,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))),inference(split_conjunct,[status(thm)],[50])).
% cnf(224,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(split_conjunct,[status(thm)],[53])).
% cnf(225,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),inference(split_conjunct,[status(thm)],[53])).
% cnf(226,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(split_conjunct,[status(thm)],[54])).
% fof(227, 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)],[55])).
% fof(228, 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)],[227])).
% fof(229, 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)],[228])).
% cnf(231,plain,(smndt0(smndt0(X1))=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[229])).
% cnf(232,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[229])).
% cnf(233,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[229])).
% cnf(237,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[229])).
% fof(240, 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)],[57])).
% fof(241, 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)],[240])).
% fof(242, 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)],[241])).
% cnf(244,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[242])).
% fof(250, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[60])).
% fof(251, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[250])).
% cnf(252,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[251])).
% cnf(259,negated_conjecture,(sdtpldt0(xR,xS)!=sdtpldt0(xP,xP)),inference(split_conjunct,[status(thm)],[72])).
% cnf(464,plain,(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))=sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))|~sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(spm,[status(thm)],[118,226,theory(equality)])).
% cnf(474,plain,(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))=sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))|$false|~aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(rw,[status(thm)],[464,221,theory(equality)])).
% cnf(475,plain,(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))=sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))|~aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(cn,[status(thm)],[474,theory(equality)])).
% cnf(629,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[231,244,theory(equality)])).
% cnf(636,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[244,214,theory(equality)])).
% cnf(637,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[244,212,theory(equality)])).
% cnf(638,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[244,210,theory(equality)])).
% cnf(649,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[636,205,theory(equality)])).
% cnf(650,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[649,201,theory(equality)])).
% cnf(651,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[650,theory(equality)])).
% cnf(652,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|~aScalar0(xH)),inference(rw,[status(thm)],[637,203,theory(equality)])).
% cnf(653,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|$false),inference(rw,[status(thm)],[652,209,theory(equality)])).
% cnf(654,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))),inference(cn,[status(thm)],[653,theory(equality)])).
% cnf(655,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|~aScalar0(xG)),inference(rw,[status(thm)],[638,199,theory(equality)])).
% cnf(656,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|$false),inference(rw,[status(thm)],[655,207,theory(equality)])).
% cnf(657,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))),inference(cn,[status(thm)],[656,theory(equality)])).
% cnf(713,plain,(aScalar0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aScalar0(X3)|~aScalar0(sdtpldt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[94,104,theory(equality)])).
% cnf(714,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)],[103,104,theory(equality)])).
% cnf(716,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)],[103,104,theory(equality)])).
% cnf(1541,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|~aScalar0(xF)),inference(spm,[status(thm)],[97,651,theory(equality)])).
% cnf(1553,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|$false),inference(rw,[status(thm)],[1541,205,theory(equality)])).
% cnf(1554,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))),inference(cn,[status(thm)],[1553,theory(equality)])).
% cnf(1577,plain,(aScalar0(smndt0(xS))|~aScalar0(xD)),inference(spm,[status(thm)],[1554,252,theory(equality)])).
% cnf(1578,plain,(aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[1577,201,theory(equality)])).
% cnf(1579,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[1578,theory(equality)])).
% cnf(1622,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))|~aScalar0(xE)),inference(spm,[status(thm)],[97,654,theory(equality)])).
% cnf(1634,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))|$false),inference(rw,[status(thm)],[1622,203,theory(equality)])).
% cnf(1635,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))),inference(cn,[status(thm)],[1634,theory(equality)])).
% cnf(1658,plain,(aScalar0(smndt0(xP))|~aScalar0(xH)),inference(spm,[status(thm)],[1635,252,theory(equality)])).
% cnf(1659,plain,(aScalar0(smndt0(xP))|$false),inference(rw,[status(thm)],[1658,209,theory(equality)])).
% cnf(1660,plain,(aScalar0(smndt0(xP))),inference(cn,[status(thm)],[1659,theory(equality)])).
% cnf(1665,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))|~aScalar0(xC)),inference(spm,[status(thm)],[97,657,theory(equality)])).
% cnf(1677,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))|$false),inference(rw,[status(thm)],[1665,199,theory(equality)])).
% cnf(1678,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))),inference(cn,[status(thm)],[1677,theory(equality)])).
% cnf(1701,plain,(aScalar0(smndt0(xR))|~aScalar0(xG)),inference(spm,[status(thm)],[1678,252,theory(equality)])).
% cnf(1702,plain,(aScalar0(smndt0(xR))|$false),inference(rw,[status(thm)],[1701,207,theory(equality)])).
% cnf(1703,plain,(aScalar0(smndt0(xR))),inference(cn,[status(thm)],[1702,theory(equality)])).
% cnf(2320,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[475,97,theory(equality)])).
% cnf(2321,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~aScalar0(xS)|~aScalar0(xR)),inference(spm,[status(thm)],[2320,94,theory(equality)])).
% cnf(2322,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[2321,215,theory(equality)])).
% cnf(2323,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|$false|$false),inference(rw,[status(thm)],[2322,211,theory(equality)])).
% cnf(2324,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(cn,[status(thm)],[2323,theory(equality)])).
% cnf(2331,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xP,xP))),inference(spm,[status(thm)],[2324,97,theory(equality)])).
% cnf(2342,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(xP)),inference(spm,[status(thm)],[2331,94,theory(equality)])).
% cnf(2347,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[2342,213,theory(equality)])).
% cnf(2348,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[2347,theory(equality)])).
% cnf(2358,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~aScalar0(X1)|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[141,2348,theory(equality)])).
% cnf(2371,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)|~aScalar0(sdtpldt0(xR,xS))),inference(rw,[status(thm)],[2358,225,theory(equality)])).
% cnf(2372,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|~aScalar0(sdtpldt0(xR,xS))),inference(cn,[status(thm)],[2371,theory(equality)])).
% cnf(16176,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[629,97])).
% cnf(16219,plain,(smndt0(smndt0(xS))=sdtasdt0(xF,xD)|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[16176,651,theory(equality)])).
% cnf(16220,plain,(smndt0(smndt0(xP))=sdtasdt0(xE,xH)|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[16176,654,theory(equality)])).
% cnf(16222,plain,(smndt0(smndt0(xR))=sdtasdt0(xC,xG)|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[16176,657,theory(equality)])).
% cnf(16327,plain,(smndt0(smndt0(xS))=xS|~aScalar0(xF)|~aScalar0(xD)),inference(rw,[status(thm)],[16219,214,theory(equality)])).
% cnf(16328,plain,(smndt0(smndt0(xS))=xS|$false|~aScalar0(xD)),inference(rw,[status(thm)],[16327,205,theory(equality)])).
% cnf(16329,plain,(smndt0(smndt0(xS))=xS|$false|$false),inference(rw,[status(thm)],[16328,201,theory(equality)])).
% cnf(16330,plain,(smndt0(smndt0(xS))=xS),inference(cn,[status(thm)],[16329,theory(equality)])).
% cnf(16331,plain,(smndt0(smndt0(xP))=xP|~aScalar0(xE)|~aScalar0(xH)),inference(rw,[status(thm)],[16220,212,theory(equality)])).
% cnf(16332,plain,(smndt0(smndt0(xP))=xP|$false|~aScalar0(xH)),inference(rw,[status(thm)],[16331,203,theory(equality)])).
% cnf(16333,plain,(smndt0(smndt0(xP))=xP|$false|$false),inference(rw,[status(thm)],[16332,209,theory(equality)])).
% cnf(16334,plain,(smndt0(smndt0(xP))=xP),inference(cn,[status(thm)],[16333,theory(equality)])).
% cnf(16339,plain,(smndt0(smndt0(xR))=xR|~aScalar0(xC)|~aScalar0(xG)),inference(rw,[status(thm)],[16222,210,theory(equality)])).
% cnf(16340,plain,(smndt0(smndt0(xR))=xR|$false|~aScalar0(xG)),inference(rw,[status(thm)],[16339,199,theory(equality)])).
% cnf(16341,plain,(smndt0(smndt0(xR))=xR|$false|$false),inference(rw,[status(thm)],[16340,207,theory(equality)])).
% cnf(16342,plain,(smndt0(smndt0(xR))=xR),inference(cn,[status(thm)],[16341,theory(equality)])).
% cnf(16399,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[232,16330,theory(equality)])).
% cnf(16418,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00|$false),inference(rw,[status(thm)],[16399,1579,theory(equality)])).
% cnf(16419,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00),inference(cn,[status(thm)],[16418,theory(equality)])).
% cnf(16471,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|~aScalar0(xS)|~aScalar0(smndt0(xS))|~aScalar0(X1)),inference(spm,[status(thm)],[104,16419,theory(equality)])).
% cnf(16489,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|$false|~aScalar0(smndt0(xS))|~aScalar0(X1)),inference(rw,[status(thm)],[16471,215,theory(equality)])).
% cnf(16490,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[16489,1579,theory(equality)])).
% cnf(16491,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[16490,theory(equality)])).
% cnf(16494,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00|~aScalar0(smndt0(xP))),inference(spm,[status(thm)],[232,16334,theory(equality)])).
% cnf(16507,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00|$false),inference(rw,[status(thm)],[16494,1660,theory(equality)])).
% cnf(16508,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00),inference(cn,[status(thm)],[16507,theory(equality)])).
% cnf(16549,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|~aScalar0(xP)|~aScalar0(smndt0(xP))|~aScalar0(X1)),inference(spm,[status(thm)],[104,16508,theory(equality)])).
% cnf(16554,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|$false|~aScalar0(smndt0(xP))|~aScalar0(X1)),inference(rw,[status(thm)],[16549,213,theory(equality)])).
% cnf(16555,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[16554,1660,theory(equality)])).
% cnf(16556,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[16555,theory(equality)])).
% cnf(16560,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00|~aScalar0(smndt0(xR))),inference(spm,[status(thm)],[232,16342,theory(equality)])).
% cnf(16577,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00|$false),inference(rw,[status(thm)],[16560,1703,theory(equality)])).
% cnf(16578,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00),inference(cn,[status(thm)],[16577,theory(equality)])).
% cnf(16630,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|~aScalar0(xR)|~aScalar0(smndt0(xR))|~aScalar0(X1)),inference(spm,[status(thm)],[104,16578,theory(equality)])).
% cnf(16649,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|$false|~aScalar0(smndt0(xR))|~aScalar0(X1)),inference(rw,[status(thm)],[16630,211,theory(equality)])).
% cnf(16650,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[16649,1703,theory(equality)])).
% cnf(16651,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[16650,theory(equality)])).
% cnf(24015,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xS)))|~aScalar0(smndt0(smndt0(xS)))|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[16491,233,theory(equality)])).
% cnf(24030,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|~aScalar0(smndt0(smndt0(xS)))|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[24015,16330,theory(equality)])).
% cnf(24031,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24030,16330,theory(equality)]),215,theory(equality)])).
% cnf(24032,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false|$false),inference(rw,[status(thm)],[24031,1579,theory(equality)])).
% cnf(24033,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)),inference(cn,[status(thm)],[24032,theory(equality)])).
% cnf(24057,plain,(sdtpldt0(sz0z00,xS)=xS|~aScalar0(xS)),inference(spm,[status(thm)],[237,24033,theory(equality)])).
% cnf(24072,plain,(sdtpldt0(sz0z00,xS)=xS|$false),inference(rw,[status(thm)],[24057,215,theory(equality)])).
% cnf(24073,plain,(sdtpldt0(sz0z00,xS)=xS),inference(cn,[status(thm)],[24072,theory(equality)])).
% cnf(24080,plain,(sdtpldt0(xS,sz0z00)=xS),inference(rw,[status(thm)],[24033,24073,theory(equality)])).
% cnf(24100,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|~aScalar0(xS)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[104,24080,theory(equality)])).
% cnf(24111,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|$false|~aScalar0(sz0z00)|~aScalar0(X1)),inference(rw,[status(thm)],[24100,215,theory(equality)])).
% cnf(24112,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[24111,91,theory(equality)])).
% cnf(24113,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[24112,theory(equality)])).
% cnf(24534,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xP)))|~aScalar0(smndt0(smndt0(xP)))|~aScalar0(smndt0(xP))),inference(spm,[status(thm)],[16556,233,theory(equality)])).
% cnf(24548,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|~aScalar0(smndt0(smndt0(xP)))|~aScalar0(smndt0(xP))),inference(rw,[status(thm)],[24534,16334,theory(equality)])).
% cnf(24549,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false|~aScalar0(smndt0(xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24548,16334,theory(equality)]),213,theory(equality)])).
% cnf(24550,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false|$false),inference(rw,[status(thm)],[24549,1660,theory(equality)])).
% cnf(24551,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[24550,theory(equality)])).
% cnf(24575,plain,(sdtpldt0(sz0z00,xP)=xP|~aScalar0(xP)),inference(spm,[status(thm)],[237,24551,theory(equality)])).
% cnf(24583,plain,(sdtpldt0(sz0z00,xP)=xP|$false),inference(rw,[status(thm)],[24575,213,theory(equality)])).
% cnf(24584,plain,(sdtpldt0(sz0z00,xP)=xP),inference(cn,[status(thm)],[24583,theory(equality)])).
% cnf(24591,plain,(sdtpldt0(xP,sz0z00)=xP),inference(rw,[status(thm)],[24551,24584,theory(equality)])).
% cnf(24604,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|~aScalar0(xP)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[104,24591,theory(equality)])).
% cnf(24615,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|$false|~aScalar0(sz0z00)|~aScalar0(X1)),inference(rw,[status(thm)],[24604,213,theory(equality)])).
% cnf(24616,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[24615,91,theory(equality)])).
% cnf(24617,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[24616,theory(equality)])).
% cnf(25049,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xR)))|~aScalar0(smndt0(smndt0(xR)))|~aScalar0(smndt0(xR))),inference(spm,[status(thm)],[16651,233,theory(equality)])).
% cnf(25064,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|~aScalar0(smndt0(smndt0(xR)))|~aScalar0(smndt0(xR))),inference(rw,[status(thm)],[25049,16342,theory(equality)])).
% cnf(25065,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false|~aScalar0(smndt0(xR))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[25064,16342,theory(equality)]),211,theory(equality)])).
% cnf(25066,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false|$false),inference(rw,[status(thm)],[25065,1703,theory(equality)])).
% cnf(25067,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)),inference(cn,[status(thm)],[25066,theory(equality)])).
% cnf(25091,plain,(sdtpldt0(sz0z00,xR)=xR|~aScalar0(xR)),inference(spm,[status(thm)],[237,25067,theory(equality)])).
% cnf(25107,plain,(sdtpldt0(sz0z00,xR)=xR|$false),inference(rw,[status(thm)],[25091,211,theory(equality)])).
% cnf(25108,plain,(sdtpldt0(sz0z00,xR)=xR),inference(cn,[status(thm)],[25107,theory(equality)])).
% cnf(25115,plain,(sdtpldt0(xR,sz0z00)=xR),inference(rw,[status(thm)],[25067,25108,theory(equality)])).
% cnf(30093,plain,(aScalar0(sdtpldt0(X1,sdtpldt0(X2,X3)))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[713,94])).
% cnf(30135,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(sz0z00)|~aScalar0(X1)|~aScalar0(xP)),inference(spm,[status(thm)],[30093,24591,theory(equality)])).
% cnf(30139,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(sz0z00)|~aScalar0(X1)|~aScalar0(xR)),inference(spm,[status(thm)],[30093,25115,theory(equality)])).
% cnf(30308,plain,(aScalar0(sdtpldt0(X1,xP))|$false|~aScalar0(X1)|~aScalar0(xP)),inference(rw,[status(thm)],[30135,91,theory(equality)])).
% cnf(30309,plain,(aScalar0(sdtpldt0(X1,xP))|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[30308,213,theory(equality)])).
% cnf(30310,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(X1)),inference(cn,[status(thm)],[30309,theory(equality)])).
% cnf(30318,plain,(aScalar0(sdtpldt0(X1,xR))|$false|~aScalar0(X1)|~aScalar0(xR)),inference(rw,[status(thm)],[30139,91,theory(equality)])).
% cnf(30319,plain,(aScalar0(sdtpldt0(X1,xR))|$false|~aScalar0(X1)|$false),inference(rw,[status(thm)],[30318,211,theory(equality)])).
% cnf(30320,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(X1)),inference(cn,[status(thm)],[30319,theory(equality)])).
% cnf(30741,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[714,94])).
% cnf(32753,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)],[716,30741])).
% cnf(32754,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[32753,94])).
% cnf(32789,plain,(sdtpldt0(X1,sdtpldt0(xS,sz0z00))=sdtpldt0(xS,X1)|~aScalar0(X1)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[24113,32754,theory(equality)])).
% cnf(32794,plain,(sdtpldt0(X1,sdtpldt0(xP,sz0z00))=sdtpldt0(xP,X1)|~aScalar0(X1)|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[24617,32754,theory(equality)])).
% cnf(33219,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[32789,24033,theory(equality)]),24073,theory(equality)])).
% cnf(33220,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[33219,215,theory(equality)])).
% cnf(33221,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[33220,91,theory(equality)])).
% cnf(33222,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[33221,theory(equality)])).
% cnf(33233,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[32794,24591,theory(equality)])).
% cnf(33234,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[33233,213,theory(equality)])).
% cnf(33235,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[33234,91,theory(equality)])).
% cnf(33236,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[33235,theory(equality)])).
% cnf(33894,plain,(aScalar0(sdtpldt0(xR,xS))|~aScalar0(xS)|~aScalar0(xR)),inference(spm,[status(thm)],[30320,33222,theory(equality)])).
% cnf(33987,plain,(aScalar0(sdtpldt0(xR,xS))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[33894,215,theory(equality)])).
% cnf(33988,plain,(aScalar0(sdtpldt0(xR,xS))|$false|$false),inference(rw,[status(thm)],[33987,211,theory(equality)])).
% cnf(33989,plain,(aScalar0(sdtpldt0(xR,xS))),inference(cn,[status(thm)],[33988,theory(equality)])).
% cnf(36361,plain,(aScalar0(sdtpldt0(xP,xP))|~aScalar0(xP)),inference(spm,[status(thm)],[30310,33236,theory(equality)])).
% cnf(36454,plain,(aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[36361,213,theory(equality)])).
% cnf(36455,plain,(aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[36454,theory(equality)])).
% cnf(503242,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|$false),inference(rw,[status(thm)],[2372,33989,theory(equality)])).
% cnf(503243,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[503242,theory(equality)])).
% cnf(503298,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)|~aScalar0(sdtpldt0(xP,xP))),inference(spm,[status(thm)],[503243,224,theory(equality)])).
% cnf(503477,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)|$false),inference(rw,[status(thm)],[503298,36455,theory(equality)])).
% cnf(503478,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)),inference(cn,[status(thm)],[503477,theory(equality)])).
% cnf(503479,plain,($false),inference(sr,[status(thm)],[503478,259,theory(equality)])).
% cnf(503480,plain,($false),503479,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5819
% # ...of these trivial : 1735
% # ...subsumed : 209
% # ...remaining for further processing: 3875
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 52
% # Backward-rewritten : 1036
% # Generated clauses : 153519
% # ...of the previous two non-trivial : 124257
% # Contextual simplify-reflections : 151
% # Paramodulations : 153489
% # Factorizations : 2
% # Equation resolutions : 28
% # Current number of processed clauses: 2787
% # Positive orientable unit clauses: 2228
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 556
% # Current number of unprocessed clauses: 97472
% # ...number of literals in the above : 326190
% # Clause-clause subsumption calls (NU) : 31188
% # Rec. Clause-clause subsumption calls : 17702
% # Unit Clause-clause subsumption calls : 128
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 152602
% # Indexed BW rewrite successes : 549
% # Backwards rewriting index: 1643 leaves, 3.48+/-16.660 terms/leaf
% # Paramod-from index: 704 leaves, 3.60+/-17.747 terms/leaf
% # Paramod-into index: 1221 leaves, 4.17+/-19.224 terms/leaf
% # -------------------------------------------------
% # User time : 6.277 s
% # System time : 0.259 s
% # Total time : 6.536 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.44 CPU 12.92 WC
% FINAL PrfWatch: 12.44 CPU 12.92 WC
% SZS output end Solution for /tmp/SystemOnTPTP29842/RNG073+2.tptp
%
%------------------------------------------------------------------------------