TSTP Solution File: RNG073+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG073+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 22:22:54 EST 2010
% Result : Theorem 13.61s
% Output : Solution 13.61s
% 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/SystemOnTPTP2364/RNG073+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP2364/RNG073+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP2364/RNG073+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 2460
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.91 CPU 6.04 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 10.05 WC
% PrfWatch: 11.88 CPU 12.05 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(8, axiom,![X1]:![X2]:((aScalar0(X1)&aScalar0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEASm)).
% fof(15, 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(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(38, axiom,(aScalar0(xN)&xN=sdtasdt0(xR,xS)),file('/tmp/SRASS.s.p', m__1949)).
% fof(42, axiom,sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),file('/tmp/SRASS.s.p', m__2405)).
% fof(45, axiom,(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))&sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),file('/tmp/SRASS.s.p', m__2628)).
% fof(46, axiom,sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),file('/tmp/SRASS.s.p', m__2654)).
% fof(47, 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(51, 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(59, 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(73,plain,(aScalar0(sz0z00)),inference(split_conjunct,[status(thm)],[1])).
% fof(74, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(75, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[74])).
% cnf(76,plain,(aScalar0(sdtpldt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[75])).
% fof(77, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|aScalar0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(78, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|aScalar0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[77])).
% cnf(79,plain,(aScalar0(sdtasdt0(X1,X2))|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[78])).
% fof(80, 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(81, 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)],[80])).
% fof(82, 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)],[81])).
% cnf(85,plain,(sdtpldt0(X3,X2)=sdtpldt0(X2,X3)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[82])).
% cnf(86,plain,(sdtpldt0(sdtpldt0(X3,X2),X1)=sdtpldt0(X3,sdtpldt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(split_conjunct,[status(thm)],[82])).
% fof(98, plain,![X1]:![X2]:((~(aScalar0(X1))|~(aScalar0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[8])).
% fof(99, plain,![X3]:![X4]:((~(aScalar0(X3))|~(aScalar0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[98])).
% cnf(100,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[99])).
% fof(121, 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)],[15])).
% fof(122, 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)],[121])).
% cnf(123,plain,(X1=X2|sdtasdt0(X1,X1)!=sdtasdt0(X2,X2)|~sdtlseqdt0(sz0z00,X2)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X2)|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[122])).
% cnf(155,plain,(aScalar0(xC)),inference(split_conjunct,[status(thm)],[29])).
% cnf(157,plain,(aScalar0(xD)),inference(split_conjunct,[status(thm)],[30])).
% cnf(159,plain,(aScalar0(xE)),inference(split_conjunct,[status(thm)],[31])).
% cnf(161,plain,(aScalar0(xF)),inference(split_conjunct,[status(thm)],[32])).
% cnf(163,plain,(aScalar0(xG)),inference(split_conjunct,[status(thm)],[33])).
% cnf(165,plain,(aScalar0(xH)),inference(split_conjunct,[status(thm)],[34])).
% cnf(166,plain,(xR=sdtasdt0(xC,xG)),inference(split_conjunct,[status(thm)],[35])).
% cnf(167,plain,(aScalar0(xR)),inference(split_conjunct,[status(thm)],[35])).
% cnf(168,plain,(xP=sdtasdt0(xE,xH)),inference(split_conjunct,[status(thm)],[36])).
% cnf(169,plain,(aScalar0(xP)),inference(split_conjunct,[status(thm)],[36])).
% cnf(170,plain,(xS=sdtasdt0(xF,xD)),inference(split_conjunct,[status(thm)],[37])).
% cnf(171,plain,(aScalar0(xS)),inference(split_conjunct,[status(thm)],[37])).
% cnf(172,plain,(xN=sdtasdt0(xR,xS)),inference(split_conjunct,[status(thm)],[38])).
% cnf(177,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))),inference(split_conjunct,[status(thm)],[42])).
% cnf(180,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))),inference(split_conjunct,[status(thm)],[45])).
% cnf(181,plain,(sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))),inference(split_conjunct,[status(thm)],[45])).
% cnf(182,plain,(sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(split_conjunct,[status(thm)],[46])).
% fof(183, 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)],[47])).
% fof(184, 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)],[183])).
% fof(185, 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)],[184])).
% cnf(187,plain,(smndt0(smndt0(X1))=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[185])).
% cnf(188,plain,(sdtpldt0(smndt0(X1),X1)=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[185])).
% cnf(189,plain,(sdtpldt0(X1,smndt0(X1))=sz0z00|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[185])).
% cnf(193,plain,(sdtpldt0(X1,sz0z00)=X1|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[185])).
% fof(210, 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)],[51])).
% fof(211, 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)],[210])).
% fof(212, 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)],[211])).
% cnf(214,plain,(sdtasdt0(X2,smndt0(X1))=smndt0(sdtasdt0(X2,X1))|~aScalar0(X1)|~aScalar0(X2)),inference(split_conjunct,[status(thm)],[212])).
% fof(237, plain,![X1]:(~(aScalar0(X1))|aScalar0(smndt0(X1))),inference(fof_nnf,[status(thm)],[59])).
% fof(238, plain,![X2]:(~(aScalar0(X2))|aScalar0(smndt0(X2))),inference(variable_rename,[status(thm)],[237])).
% cnf(239,plain,(aScalar0(smndt0(X1))|~aScalar0(X1)),inference(split_conjunct,[status(thm)],[238])).
% cnf(249,negated_conjecture,(sdtpldt0(xR,xS)!=sdtpldt0(xP,xP)),inference(split_conjunct,[status(thm)],[72])).
% cnf(437,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)],[100,182,theory(equality)])).
% cnf(447,plain,(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))=sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))|$false|~aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(rw,[status(thm)],[437,177,theory(equality)])).
% cnf(448,plain,(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))=sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))|~aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))),inference(cn,[status(thm)],[447,theory(equality)])).
% cnf(595,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(sdtasdt0(X1,X2))|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[187,214,theory(equality)])).
% cnf(601,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|~aScalar0(xR)|~aScalar0(xS)),inference(spm,[status(thm)],[214,172,theory(equality)])).
% cnf(602,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[214,170,theory(equality)])).
% cnf(603,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[214,168,theory(equality)])).
% cnf(604,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[214,166,theory(equality)])).
% cnf(612,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|~aScalar0(xS)),inference(rw,[status(thm)],[601,167,theory(equality)])).
% cnf(613,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))|$false|$false),inference(rw,[status(thm)],[612,171,theory(equality)])).
% cnf(614,plain,(smndt0(xN)=sdtasdt0(xR,smndt0(xS))),inference(cn,[status(thm)],[613,theory(equality)])).
% cnf(615,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|~aScalar0(xD)),inference(rw,[status(thm)],[602,161,theory(equality)])).
% cnf(616,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))|$false|$false),inference(rw,[status(thm)],[615,157,theory(equality)])).
% cnf(617,plain,(smndt0(xS)=sdtasdt0(xF,smndt0(xD))),inference(cn,[status(thm)],[616,theory(equality)])).
% cnf(618,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|~aScalar0(xH)),inference(rw,[status(thm)],[603,159,theory(equality)])).
% cnf(619,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))|$false|$false),inference(rw,[status(thm)],[618,165,theory(equality)])).
% cnf(620,plain,(smndt0(xP)=sdtasdt0(xE,smndt0(xH))),inference(cn,[status(thm)],[619,theory(equality)])).
% cnf(621,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|~aScalar0(xG)),inference(rw,[status(thm)],[604,155,theory(equality)])).
% cnf(622,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))|$false|$false),inference(rw,[status(thm)],[621,163,theory(equality)])).
% cnf(623,plain,(smndt0(xR)=sdtasdt0(xC,smndt0(xG))),inference(cn,[status(thm)],[622,theory(equality)])).
% cnf(687,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X3)|~aScalar0(sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)),inference(spm,[status(thm)],[85,86,theory(equality)])).
% cnf(689,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(sdtpldt0(X2,X3))|~aScalar0(X1)|~aScalar0(X4)|~aScalar0(X2)|~aScalar0(X3)),inference(spm,[status(thm)],[85,86,theory(equality)])).
% cnf(1259,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|~aScalar0(xR)),inference(spm,[status(thm)],[79,614,theory(equality)])).
% cnf(1271,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[1259,167,theory(equality)])).
% cnf(1272,plain,(aScalar0(smndt0(xN))|~aScalar0(smndt0(xS))),inference(cn,[status(thm)],[1271,theory(equality)])).
% cnf(1501,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|~aScalar0(xF)),inference(spm,[status(thm)],[79,617,theory(equality)])).
% cnf(1513,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))|$false),inference(rw,[status(thm)],[1501,161,theory(equality)])).
% cnf(1514,plain,(aScalar0(smndt0(xS))|~aScalar0(smndt0(xD))),inference(cn,[status(thm)],[1513,theory(equality)])).
% cnf(1537,plain,(aScalar0(smndt0(xS))|~aScalar0(xD)),inference(spm,[status(thm)],[1514,239,theory(equality)])).
% cnf(1538,plain,(aScalar0(smndt0(xS))|$false),inference(rw,[status(thm)],[1537,157,theory(equality)])).
% cnf(1539,plain,(aScalar0(smndt0(xS))),inference(cn,[status(thm)],[1538,theory(equality)])).
% cnf(1583,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))|~aScalar0(xE)),inference(spm,[status(thm)],[79,620,theory(equality)])).
% cnf(1595,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))|$false),inference(rw,[status(thm)],[1583,159,theory(equality)])).
% cnf(1596,plain,(aScalar0(smndt0(xP))|~aScalar0(smndt0(xH))),inference(cn,[status(thm)],[1595,theory(equality)])).
% cnf(1619,plain,(aScalar0(smndt0(xP))|~aScalar0(xH)),inference(spm,[status(thm)],[1596,239,theory(equality)])).
% cnf(1620,plain,(aScalar0(smndt0(xP))|$false),inference(rw,[status(thm)],[1619,165,theory(equality)])).
% cnf(1621,plain,(aScalar0(smndt0(xP))),inference(cn,[status(thm)],[1620,theory(equality)])).
% cnf(1625,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))|~aScalar0(xC)),inference(spm,[status(thm)],[79,623,theory(equality)])).
% cnf(1637,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))|$false),inference(rw,[status(thm)],[1625,155,theory(equality)])).
% cnf(1638,plain,(aScalar0(smndt0(xR))|~aScalar0(smndt0(xG))),inference(cn,[status(thm)],[1637,theory(equality)])).
% cnf(1661,plain,(aScalar0(smndt0(xR))|~aScalar0(xG)),inference(spm,[status(thm)],[1638,239,theory(equality)])).
% cnf(1662,plain,(aScalar0(smndt0(xR))|$false),inference(rw,[status(thm)],[1661,163,theory(equality)])).
% cnf(1663,plain,(aScalar0(smndt0(xR))),inference(cn,[status(thm)],[1662,theory(equality)])).
% cnf(1985,plain,(aScalar0(smndt0(xN))|$false),inference(rw,[status(thm)],[1272,1539,theory(equality)])).
% cnf(1986,plain,(aScalar0(smndt0(xN))),inference(cn,[status(thm)],[1985,theory(equality)])).
% cnf(2310,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[448,79,theory(equality)])).
% cnf(2311,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|~aScalar0(xS)|~aScalar0(xR)),inference(spm,[status(thm)],[2310,76,theory(equality)])).
% cnf(2312,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[2311,171,theory(equality)])).
% cnf(2313,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)],[2312,167,theory(equality)])).
% cnf(2314,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)],[2313,theory(equality)])).
% cnf(2321,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(sdtpldt0(xP,xP))),inference(spm,[status(thm)],[2314,79,theory(equality)])).
% cnf(2332,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|~aScalar0(xP)),inference(spm,[status(thm)],[2321,76,theory(equality)])).
% cnf(2337,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[2332,169,theory(equality)])).
% cnf(2338,plain,(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))=sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),inference(cn,[status(thm)],[2337,theory(equality)])).
% cnf(2348,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))|~aScalar0(X1)|~aScalar0(sdtpldt0(xR,xS))),inference(spm,[status(thm)],[123,2338,theory(equality)])).
% cnf(2361,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|$false|~aScalar0(X1)|~aScalar0(sdtpldt0(xR,xS))),inference(rw,[status(thm)],[2348,181,theory(equality)])).
% cnf(2362,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)],[2361,theory(equality)])).
% cnf(14013,plain,(smndt0(sdtasdt0(X1,smndt0(X2)))=sdtasdt0(X1,X2)|~aScalar0(X1)|~aScalar0(X2)),inference(csr,[status(thm)],[595,79])).
% cnf(14043,plain,(smndt0(smndt0(xS))=sdtasdt0(xF,xD)|~aScalar0(xF)|~aScalar0(xD)),inference(spm,[status(thm)],[14013,617,theory(equality)])).
% cnf(14044,plain,(smndt0(smndt0(xP))=sdtasdt0(xE,xH)|~aScalar0(xE)|~aScalar0(xH)),inference(spm,[status(thm)],[14013,620,theory(equality)])).
% cnf(14046,plain,(smndt0(smndt0(xR))=sdtasdt0(xC,xG)|~aScalar0(xC)|~aScalar0(xG)),inference(spm,[status(thm)],[14013,623,theory(equality)])).
% cnf(14096,plain,(smndt0(smndt0(xS))=xS|~aScalar0(xF)|~aScalar0(xD)),inference(rw,[status(thm)],[14043,170,theory(equality)])).
% cnf(14097,plain,(smndt0(smndt0(xS))=xS|$false|~aScalar0(xD)),inference(rw,[status(thm)],[14096,161,theory(equality)])).
% cnf(14098,plain,(smndt0(smndt0(xS))=xS|$false|$false),inference(rw,[status(thm)],[14097,157,theory(equality)])).
% cnf(14099,plain,(smndt0(smndt0(xS))=xS),inference(cn,[status(thm)],[14098,theory(equality)])).
% cnf(14100,plain,(smndt0(smndt0(xP))=xP|~aScalar0(xE)|~aScalar0(xH)),inference(rw,[status(thm)],[14044,168,theory(equality)])).
% cnf(14101,plain,(smndt0(smndt0(xP))=xP|$false|~aScalar0(xH)),inference(rw,[status(thm)],[14100,159,theory(equality)])).
% cnf(14102,plain,(smndt0(smndt0(xP))=xP|$false|$false),inference(rw,[status(thm)],[14101,165,theory(equality)])).
% cnf(14103,plain,(smndt0(smndt0(xP))=xP),inference(cn,[status(thm)],[14102,theory(equality)])).
% cnf(14108,plain,(smndt0(smndt0(xR))=xR|~aScalar0(xC)|~aScalar0(xG)),inference(rw,[status(thm)],[14046,166,theory(equality)])).
% cnf(14109,plain,(smndt0(smndt0(xR))=xR|$false|~aScalar0(xG)),inference(rw,[status(thm)],[14108,155,theory(equality)])).
% cnf(14110,plain,(smndt0(smndt0(xR))=xR|$false|$false),inference(rw,[status(thm)],[14109,163,theory(equality)])).
% cnf(14111,plain,(smndt0(smndt0(xR))=xR),inference(cn,[status(thm)],[14110,theory(equality)])).
% cnf(14165,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[189,14099,theory(equality)])).
% cnf(14166,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[188,14099,theory(equality)])).
% cnf(14178,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00|$false),inference(rw,[status(thm)],[14165,1539,theory(equality)])).
% cnf(14179,plain,(sdtpldt0(smndt0(xS),xS)=sz0z00),inference(cn,[status(thm)],[14178,theory(equality)])).
% cnf(14180,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00|$false),inference(rw,[status(thm)],[14166,1539,theory(equality)])).
% cnf(14181,plain,(sdtpldt0(xS,smndt0(xS))=sz0z00),inference(cn,[status(thm)],[14180,theory(equality)])).
% cnf(14198,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(smndt0(xS),sdtpldt0(xS,X1))|~aScalar0(smndt0(xS))|~aScalar0(xS)|~aScalar0(X1)),inference(spm,[status(thm)],[86,14179,theory(equality)])).
% cnf(14220,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(smndt0(xS),sdtpldt0(xS,X1))|$false|~aScalar0(xS)|~aScalar0(X1)),inference(rw,[status(thm)],[14198,1539,theory(equality)])).
% cnf(14221,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(smndt0(xS),sdtpldt0(xS,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[14220,171,theory(equality)])).
% cnf(14222,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(smndt0(xS),sdtpldt0(xS,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[14221,theory(equality)])).
% cnf(14233,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|~aScalar0(xS)|~aScalar0(smndt0(xS))|~aScalar0(X1)),inference(spm,[status(thm)],[86,14181,theory(equality)])).
% cnf(14248,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|$false|~aScalar0(smndt0(xS))|~aScalar0(X1)),inference(rw,[status(thm)],[14233,171,theory(equality)])).
% cnf(14249,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[14248,1539,theory(equality)])).
% cnf(14250,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xS,sdtpldt0(smndt0(xS),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[14249,theory(equality)])).
% cnf(14253,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00|~aScalar0(smndt0(xP))),inference(spm,[status(thm)],[188,14103,theory(equality)])).
% cnf(14266,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00|$false),inference(rw,[status(thm)],[14253,1621,theory(equality)])).
% cnf(14267,plain,(sdtpldt0(xP,smndt0(xP))=sz0z00),inference(cn,[status(thm)],[14266,theory(equality)])).
% cnf(14308,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|~aScalar0(xP)|~aScalar0(smndt0(xP))|~aScalar0(X1)),inference(spm,[status(thm)],[86,14267,theory(equality)])).
% cnf(14313,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|$false|~aScalar0(smndt0(xP))|~aScalar0(X1)),inference(rw,[status(thm)],[14308,169,theory(equality)])).
% cnf(14314,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[14313,1621,theory(equality)])).
% cnf(14315,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xP,sdtpldt0(smndt0(xP),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[14314,theory(equality)])).
% cnf(14319,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00|~aScalar0(smndt0(xR))),inference(spm,[status(thm)],[188,14111,theory(equality)])).
% cnf(14334,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00|$false),inference(rw,[status(thm)],[14319,1663,theory(equality)])).
% cnf(14335,plain,(sdtpldt0(xR,smndt0(xR))=sz0z00),inference(cn,[status(thm)],[14334,theory(equality)])).
% cnf(14387,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|~aScalar0(xR)|~aScalar0(smndt0(xR))|~aScalar0(X1)),inference(spm,[status(thm)],[86,14335,theory(equality)])).
% cnf(14402,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|$false|~aScalar0(smndt0(xR))|~aScalar0(X1)),inference(rw,[status(thm)],[14387,167,theory(equality)])).
% cnf(14403,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[14402,1663,theory(equality)])).
% cnf(14404,plain,(sdtpldt0(sz0z00,X1)=sdtpldt0(xR,sdtpldt0(smndt0(xR),X1))|~aScalar0(X1)),inference(cn,[status(thm)],[14403,theory(equality)])).
% cnf(16225,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(sdtpldt0(xS,X1))|~aScalar0(smndt0(xS))|~aScalar0(X1)),inference(spm,[status(thm)],[76,14222,theory(equality)])).
% cnf(16242,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(sdtpldt0(xS,X1))|$false|~aScalar0(X1)),inference(rw,[status(thm)],[16225,1539,theory(equality)])).
% cnf(16243,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(sdtpldt0(xS,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[16242,theory(equality)])).
% cnf(16468,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xS)))|~aScalar0(smndt0(smndt0(xS)))|~aScalar0(smndt0(xS))),inference(spm,[status(thm)],[14250,189,theory(equality)])).
% cnf(16483,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|~aScalar0(smndt0(smndt0(xS)))|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[16468,14099,theory(equality)])).
% cnf(16484,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false|~aScalar0(smndt0(xS))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[16483,14099,theory(equality)]),171,theory(equality)])).
% cnf(16485,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)|$false|$false),inference(rw,[status(thm)],[16484,1539,theory(equality)])).
% cnf(16486,plain,(sdtpldt0(xS,sz0z00)=sdtpldt0(sz0z00,xS)),inference(cn,[status(thm)],[16485,theory(equality)])).
% cnf(16510,plain,(sdtpldt0(sz0z00,xS)=xS|~aScalar0(xS)),inference(spm,[status(thm)],[193,16486,theory(equality)])).
% cnf(16525,plain,(sdtpldt0(sz0z00,xS)=xS|$false),inference(rw,[status(thm)],[16510,171,theory(equality)])).
% cnf(16526,plain,(sdtpldt0(sz0z00,xS)=xS),inference(cn,[status(thm)],[16525,theory(equality)])).
% cnf(16539,plain,(sdtpldt0(xS,sz0z00)=xS),inference(rw,[status(thm)],[16486,16526,theory(equality)])).
% cnf(16553,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|~aScalar0(xS)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[86,16539,theory(equality)])).
% cnf(16564,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|$false|~aScalar0(sz0z00)|~aScalar0(X1)),inference(rw,[status(thm)],[16553,171,theory(equality)])).
% cnf(16565,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[16564,73,theory(equality)])).
% cnf(16566,plain,(sdtpldt0(xS,X1)=sdtpldt0(xS,sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[16565,theory(equality)])).
% cnf(19339,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xP)))|~aScalar0(smndt0(smndt0(xP)))|~aScalar0(smndt0(xP))),inference(spm,[status(thm)],[14315,189,theory(equality)])).
% cnf(19353,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|~aScalar0(smndt0(smndt0(xP)))|~aScalar0(smndt0(xP))),inference(rw,[status(thm)],[19339,14103,theory(equality)])).
% cnf(19354,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false|~aScalar0(smndt0(xP))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[19353,14103,theory(equality)]),169,theory(equality)])).
% cnf(19355,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)|$false|$false),inference(rw,[status(thm)],[19354,1621,theory(equality)])).
% cnf(19356,plain,(sdtpldt0(xP,sz0z00)=sdtpldt0(sz0z00,xP)),inference(cn,[status(thm)],[19355,theory(equality)])).
% cnf(19380,plain,(sdtpldt0(sz0z00,xP)=xP|~aScalar0(xP)),inference(spm,[status(thm)],[193,19356,theory(equality)])).
% cnf(19388,plain,(sdtpldt0(sz0z00,xP)=xP|$false),inference(rw,[status(thm)],[19380,169,theory(equality)])).
% cnf(19389,plain,(sdtpldt0(sz0z00,xP)=xP),inference(cn,[status(thm)],[19388,theory(equality)])).
% cnf(19396,plain,(sdtpldt0(xP,sz0z00)=xP),inference(rw,[status(thm)],[19356,19389,theory(equality)])).
% cnf(19409,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|~aScalar0(xP)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[86,19396,theory(equality)])).
% cnf(19420,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|$false|~aScalar0(sz0z00)|~aScalar0(X1)),inference(rw,[status(thm)],[19409,169,theory(equality)])).
% cnf(19421,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[19420,73,theory(equality)])).
% cnf(19422,plain,(sdtpldt0(xP,X1)=sdtpldt0(xP,sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[19421,theory(equality)])).
% cnf(19613,plain,(aScalar0(sdtpldt0(xP,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(xP)|~aScalar0(X1)),inference(spm,[status(thm)],[76,19422,theory(equality)])).
% cnf(19622,plain,(aScalar0(sdtpldt0(xP,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|$false|~aScalar0(X1)),inference(rw,[status(thm)],[19613,169,theory(equality)])).
% cnf(19623,plain,(aScalar0(sdtpldt0(xP,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[19622,theory(equality)])).
% cnf(20067,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,smndt0(smndt0(xR)))|~aScalar0(smndt0(smndt0(xR)))|~aScalar0(smndt0(xR))),inference(spm,[status(thm)],[14404,189,theory(equality)])).
% cnf(20082,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|~aScalar0(smndt0(smndt0(xR)))|~aScalar0(smndt0(xR))),inference(rw,[status(thm)],[20067,14111,theory(equality)])).
% cnf(20083,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false|~aScalar0(smndt0(xR))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[20082,14111,theory(equality)]),167,theory(equality)])).
% cnf(20084,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)|$false|$false),inference(rw,[status(thm)],[20083,1663,theory(equality)])).
% cnf(20085,plain,(sdtpldt0(xR,sz0z00)=sdtpldt0(sz0z00,xR)),inference(cn,[status(thm)],[20084,theory(equality)])).
% cnf(20109,plain,(sdtpldt0(sz0z00,xR)=xR|~aScalar0(xR)),inference(spm,[status(thm)],[193,20085,theory(equality)])).
% cnf(20124,plain,(sdtpldt0(sz0z00,xR)=xR|$false),inference(rw,[status(thm)],[20109,167,theory(equality)])).
% cnf(20125,plain,(sdtpldt0(sz0z00,xR)=xR),inference(cn,[status(thm)],[20124,theory(equality)])).
% cnf(20132,plain,(sdtpldt0(xR,sz0z00)=xR),inference(rw,[status(thm)],[20085,20125,theory(equality)])).
% cnf(20152,plain,(sdtpldt0(xR,X1)=sdtpldt0(xR,sdtpldt0(sz0z00,X1))|~aScalar0(xR)|~aScalar0(sz0z00)|~aScalar0(X1)),inference(spm,[status(thm)],[86,20132,theory(equality)])).
% cnf(20163,plain,(sdtpldt0(xR,X1)=sdtpldt0(xR,sdtpldt0(sz0z00,X1))|$false|~aScalar0(sz0z00)|~aScalar0(X1)),inference(rw,[status(thm)],[20152,167,theory(equality)])).
% cnf(20164,plain,(sdtpldt0(xR,X1)=sdtpldt0(xR,sdtpldt0(sz0z00,X1))|$false|$false|~aScalar0(X1)),inference(rw,[status(thm)],[20163,73,theory(equality)])).
% cnf(20165,plain,(sdtpldt0(xR,X1)=sdtpldt0(xR,sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[20164,theory(equality)])).
% cnf(20739,plain,(aScalar0(sdtpldt0(xR,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(xR)|~aScalar0(X1)),inference(spm,[status(thm)],[76,20165,theory(equality)])).
% cnf(20748,plain,(aScalar0(sdtpldt0(xR,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|$false|~aScalar0(X1)),inference(rw,[status(thm)],[20739,167,theory(equality)])).
% cnf(20749,plain,(aScalar0(sdtpldt0(xR,X1))|~aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[20748,theory(equality)])).
% cnf(23185,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(X1)|~aScalar0(xS)),inference(spm,[status(thm)],[16243,76,theory(equality)])).
% cnf(23211,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(X1)|$false),inference(rw,[status(thm)],[23185,171,theory(equality)])).
% cnf(23212,plain,(aScalar0(sdtpldt0(sz0z00,X1))|~aScalar0(X1)),inference(cn,[status(thm)],[23211,theory(equality)])).
% cnf(23773,plain,(aScalar0(sdtpldt0(xP,X1))|~aScalar0(X1)),inference(csr,[status(thm)],[19623,23212])).
% cnf(23780,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(X1)|~aScalar0(xP)|~aScalar0(X2)),inference(spm,[status(thm)],[23773,85,theory(equality)])).
% cnf(23796,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(X1)|$false|~aScalar0(X2)),inference(rw,[status(thm)],[23780,169,theory(equality)])).
% cnf(23797,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[23796,theory(equality)])).
% cnf(23810,plain,(aScalar0(sdtpldt0(xR,X1))|~aScalar0(X1)),inference(csr,[status(thm)],[20749,23212])).
% cnf(23817,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(X1)|~aScalar0(xR)|~aScalar0(X2)),inference(spm,[status(thm)],[23810,85,theory(equality)])).
% cnf(23833,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(X1)|$false|~aScalar0(X2)),inference(rw,[status(thm)],[23817,167,theory(equality)])).
% cnf(23834,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(X1)|~aScalar0(X2)),inference(cn,[status(thm)],[23833,theory(equality)])).
% cnf(26163,plain,(aScalar0(sdtpldt0(X1,xP))|~aScalar0(X1)),inference(spm,[status(thm)],[23797,1986,theory(equality)])).
% cnf(26276,plain,(aScalar0(sdtpldt0(X1,xR))|~aScalar0(X1)),inference(spm,[status(thm)],[23834,1986,theory(equality)])).
% cnf(27953,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aScalar0(X4)|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[687,76])).
% cnf(29508,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)],[689,27953])).
% cnf(29509,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X2,sdtpldt0(X3,X1))|~aScalar0(X1)|~aScalar0(X2)|~aScalar0(X3)),inference(csr,[status(thm)],[29508,76])).
% cnf(29544,plain,(sdtpldt0(X1,sdtpldt0(xS,sz0z00))=sdtpldt0(xS,X1)|~aScalar0(X1)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[16566,29509,theory(equality)])).
% cnf(29549,plain,(sdtpldt0(X1,sdtpldt0(xP,sz0z00))=sdtpldt0(xP,X1)|~aScalar0(X1)|~aScalar0(xP)|~aScalar0(sz0z00)),inference(spm,[status(thm)],[19422,29509,theory(equality)])).
% cnf(29937,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|~aScalar0(xS)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[29544,16486,theory(equality)]),16526,theory(equality)])).
% cnf(29938,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[29937,171,theory(equality)])).
% cnf(29939,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[29938,73,theory(equality)])).
% cnf(29940,plain,(sdtpldt0(X1,xS)=sdtpldt0(xS,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[29939,theory(equality)])).
% cnf(29951,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|~aScalar0(xP)|~aScalar0(sz0z00)),inference(rw,[status(thm)],[29549,19396,theory(equality)])).
% cnf(29952,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|$false|~aScalar0(sz0z00)),inference(rw,[status(thm)],[29951,169,theory(equality)])).
% cnf(29953,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)|$false|$false),inference(rw,[status(thm)],[29952,73,theory(equality)])).
% cnf(29954,plain,(sdtpldt0(X1,xP)=sdtpldt0(xP,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[29953,theory(equality)])).
% cnf(30500,plain,(aScalar0(sdtpldt0(xR,xS))|~aScalar0(xS)|~aScalar0(xR)),inference(spm,[status(thm)],[26276,29940,theory(equality)])).
% cnf(30587,plain,(aScalar0(sdtpldt0(xR,xS))|$false|~aScalar0(xR)),inference(rw,[status(thm)],[30500,171,theory(equality)])).
% cnf(30588,plain,(aScalar0(sdtpldt0(xR,xS))|$false|$false),inference(rw,[status(thm)],[30587,167,theory(equality)])).
% cnf(30589,plain,(aScalar0(sdtpldt0(xR,xS))),inference(cn,[status(thm)],[30588,theory(equality)])).
% cnf(32802,plain,(aScalar0(sdtpldt0(xP,xP))|~aScalar0(xP)),inference(spm,[status(thm)],[26163,29954,theory(equality)])).
% cnf(32897,plain,(aScalar0(sdtpldt0(xP,xP))|$false),inference(rw,[status(thm)],[32802,169,theory(equality)])).
% cnf(32898,plain,(aScalar0(sdtpldt0(xP,xP))),inference(cn,[status(thm)],[32897,theory(equality)])).
% cnf(478671,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)|$false),inference(rw,[status(thm)],[2362,30589,theory(equality)])).
% cnf(478672,plain,(sdtpldt0(xR,xS)=X1|sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))!=sdtasdt0(X1,X1)|~sdtlseqdt0(sz0z00,X1)|~aScalar0(X1)),inference(cn,[status(thm)],[478671,theory(equality)])).
% cnf(478727,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)|~aScalar0(sdtpldt0(xP,xP))),inference(spm,[status(thm)],[478672,180,theory(equality)])).
% cnf(478900,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)|$false),inference(rw,[status(thm)],[478727,32898,theory(equality)])).
% cnf(478901,plain,(sdtpldt0(xR,xS)=sdtpldt0(xP,xP)),inference(cn,[status(thm)],[478900,theory(equality)])).
% cnf(478902,plain,($false),inference(sr,[status(thm)],[478901,249,theory(equality)])).
% cnf(478903,plain,($false),478902,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 5819
% # ...of these trivial : 1763
% # ...subsumed : 255
% # ...remaining for further processing: 3801
% # Other redundant clauses eliminated : 1
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 57
% # Backward-rewritten : 965
% # Generated clauses : 146965
% # ...of the previous two non-trivial : 117664
% # Contextual simplify-reflections : 182
% # Paramodulations : 146935
% # Factorizations : 2
% # Equation resolutions : 28
% # Current number of processed clauses: 2779
% # Positive orientable unit clauses: 2213
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 563
% # Current number of unprocessed clauses: 91621
% # ...number of literals in the above : 309379
% # Clause-clause subsumption calls (NU) : 32099
% # Rec. Clause-clause subsumption calls : 18543
% # Unit Clause-clause subsumption calls : 124
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 159238
% # Indexed BW rewrite successes : 532
% # Backwards rewriting index: 1635 leaves, 3.51+/-17.045 terms/leaf
% # Paramod-from index: 684 leaves, 3.69+/-18.392 terms/leaf
% # Paramod-into index: 1213 leaves, 4.21+/-19.685 terms/leaf
% # -------------------------------------------------
% # User time : 6.399 s
% # System time : 0.277 s
% # Total time : 6.676 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.71 CPU 12.90 WC
% FINAL PrfWatch: 12.71 CPU 12.90 WC
% SZS output end Solution for /tmp/SystemOnTPTP2364/RNG073+1.tptp
%
%------------------------------------------------------------------------------