%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM451+6 : TPTP v5.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art06.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 19:15:19 EST 2010

% Result   : Theorem 8.74s
% Output   : Solution 8.74s
% 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/SystemOnTPTP14091/NUM451+6.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP14091/NUM451+6.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14091/NUM451+6.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 14187
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.02 WC
% PrfWatch: 3.91 CPU 4.03 WC
% # Preprocessing time     : 0.031 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.03 WC
% PrfWatch: 7.59 CPU 8.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aInteger0(sz00),file('/tmp/SRASS.s.p', mIntZero)).
% fof(2, axiom,aInteger0(sz10),file('/tmp/SRASS.s.p', mIntOne)).
% fof(3, axiom,![X1]:(aInteger0(X1)=>aInteger0(smndt0(X1))),file('/tmp/SRASS.s.p', mIntNeg)).
% fof(4, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>aInteger0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mIntPlus)).
% fof(5, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>aInteger0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mIntMult)).
% fof(6, axiom,![X1]:![X2]:![X3]:(((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))=>sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)),file('/tmp/SRASS.s.p', mAddAsso)).
% fof(7, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(8, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', mAddZero)).
% fof(9, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),file('/tmp/SRASS.s.p', mAddNeg)).
% fof(10, axiom,![X1]:![X2]:![X3]:(((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))=>sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(11, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(12, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', mMulOne)).
% fof(13, axiom,![X1]:![X2]:![X3]:(((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),file('/tmp/SRASS.s.p', mDistrib)).
% fof(14, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', mMulZero)).
% fof(15, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMinOne)).
% fof(16, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroDiv)).
% fof(17, axiom,![X1]:(aInteger0(X1)=>![X2]:(aDivisorOf0(X2,X1)<=>((aInteger0(X2)&~(X2=sz00))&?[X3]:(aInteger0(X3)&sdtasdt0(X2,X3)=X1)))),file('/tmp/SRASS.s.p', mDivisor)).
% fof(18, axiom,![X1]:![X2]:![X3]:((((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))&~(X3=sz00))=>(sdteqdtlpzmzozddtrp0(X1,X2,X3)<=>aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))))),file('/tmp/SRASS.s.p', mEquMod)).
% fof(19, axiom,![X1]:![X2]:(((aInteger0(X1)&aInteger0(X2))&~(X2=sz00))=>sdteqdtlpzmzozddtrp0(X1,X1,X2)),file('/tmp/SRASS.s.p', mEquModRef)).
% fof(20, axiom,![X1]:![X2]:![X3]:((((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))&~(X3=sz00))=>(sdteqdtlpzmzozddtrp0(X1,X2,X3)=>sdteqdtlpzmzozddtrp0(X2,X1,X3))),file('/tmp/SRASS.s.p', mEquModSym)).
% fof(22, axiom,![X1]:![X2]:![X3]:![X4]:((((((aInteger0(X1)&aInteger0(X2))&aInteger0(X3))&~(X3=sz00))&aInteger0(X4))&~(X4=sz00))=>(sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4))=>(sdteqdtlpzmzozddtrp0(X1,X2,X3)&sdteqdtlpzmzozddtrp0(X1,X2,X4)))),file('/tmp/SRASS.s.p', mEquModMul)).
% fof(27, axiom,(((((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(X1=sz10|X1=smndt0(sz10))))&stldt0(sbsmnsldt0(xS))=cS2076),file('/tmp/SRASS.s.p', m__2079)).
% fof(30, axiom,((((((((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&![X1]:((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=>(((aInteger0(X1)&?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X1,sz10,xp)))&((aInteger0(X1)&((?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10)))|aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X1,sz10,xp)))=>aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&aSet0(sbsmnsldt0(xS)))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=>aElementOf0(X1,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),file('/tmp/SRASS.s.p', m__2171)).
% fof(47, conjecture,?[X1]:(((aInteger0(X1)&((?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10)))|aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X1,sz10,xp)))|aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&~(((X1=sz10|X1=smndt0(sz10))&aElementOf0(X1,cS2200)))),file('/tmp/SRASS.s.p', m__)).
% fof(48, negated_conjecture,~(?[X1]:(((aInteger0(X1)&((?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10)))|aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X1,sz10,xp)))|aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&~(((X1=sz10|X1=smndt0(sz10))&aElementOf0(X1,cS2200))))),inference(assume_negation,[status(cth)],[47])).
% fof(49, plain,(((((aSet0(sbsmnsldt0(xS))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(X1=sz10|X1=smndt0(sz10))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(fof_simplification,[status(thm)],[27,theory(equality)])).
% fof(51, plain,((((((((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&![X1]:((aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=>(((aInteger0(X1)&?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X1,sz10,xp)))&((aInteger0(X1)&((?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10)))|aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))|sdteqdtlpzmzozddtrp0(X1,sz10,xp)))=>aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&aSet0(sbsmnsldt0(xS)))&![X1]:(aElementOf0(X1,sbsmnsldt0(xS))<=>(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2)))))&![X1]:(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))<=>(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS))))))&![X1]:(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))=>aElementOf0(X1,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(fof_simplification,[status(thm)],[30,theory(equality)])).
% cnf(58,plain,(aInteger0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(59,plain,(aInteger0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(60, plain,![X1]:(~(aInteger0(X1))|aInteger0(smndt0(X1))),inference(fof_nnf,[status(thm)],[3])).
% fof(61, plain,![X2]:(~(aInteger0(X2))|aInteger0(smndt0(X2))),inference(variable_rename,[status(thm)],[60])).
% cnf(62,plain,(aInteger0(smndt0(X1))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[61])).
% fof(63, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(64, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[63])).
% cnf(65,plain,(aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[64])).
% fof(66, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(67, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(69, plain,![X1]:![X2]:![X3]:(((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)),inference(fof_nnf,[status(thm)],[6])).
% fof(70, plain,![X4]:![X5]:![X6]:(((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|sdtpldt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtpldt0(X4,X5),X6)),inference(variable_rename,[status(thm)],[69])).
% cnf(71,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[70])).
% fof(72, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[7])).
% fof(73, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[73])).
% fof(75, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(76, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[75])).
% fof(77, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aInteger0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[76])).
% cnf(78,plain,(X1=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[77])).
% cnf(79,plain,(sdtpldt0(X1,sz00)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[77])).
% fof(80, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),inference(fof_nnf,[status(thm)],[9])).
% fof(81, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,smndt0(X2))=sz00&sz00=sdtpldt0(smndt0(X2),X2))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X2]:((sdtpldt0(X2,smndt0(X2))=sz00|~(aInteger0(X2)))&(sz00=sdtpldt0(smndt0(X2),X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[81])).
% cnf(83,plain,(sz00=sdtpldt0(smndt0(X1),X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(sdtpldt0(X1,smndt0(X1))=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[82])).
% fof(85, plain,![X1]:![X2]:![X3]:(((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)),inference(fof_nnf,[status(thm)],[10])).
% fof(86, plain,![X4]:![X5]:![X6]:(((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|sdtasdt0(X4,sdtasdt0(X5,X6))=sdtasdt0(sdtasdt0(X4,X5),X6)),inference(variable_rename,[status(thm)],[85])).
% cnf(87,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[86])).
% fof(88, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[11])).
% fof(89, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[88])).
% cnf(90,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[89])).
% fof(91, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[12])).
% fof(92, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[91])).
% fof(93, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aInteger0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[92])).
% cnf(94,plain,(X1=sdtasdt0(sz10,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[93])).
% cnf(95,plain,(sdtasdt0(X1,sz10)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[93])).
% fof(96, plain,![X1]:![X2]:![X3]:(((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X1,X2),X3)=sdtpldt0(sdtasdt0(X1,X3),sdtasdt0(X2,X3)))),inference(fof_nnf,[status(thm)],[13])).
% fof(97, plain,![X4]:![X5]:![X6]:(((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6)))),inference(variable_rename,[status(thm)],[96])).
% fof(98, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6))))&(sdtasdt0(sdtpldt0(X4,X5),X6)=sdtpldt0(sdtasdt0(X4,X6),sdtasdt0(X5,X6))|((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6))))),inference(distribute,[status(thm)],[97])).
% cnf(99,plain,(sdtasdt0(sdtpldt0(X3,X2),X1)=sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[98])).
% cnf(100,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[98])).
% fof(101, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[14])).
% fof(102, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[101])).
% fof(103, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aInteger0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[102])).
% cnf(105,plain,(sdtasdt0(X1,sz00)=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[103])).
% fof(106, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[15])).
% fof(107, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[106])).
% fof(108, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aInteger0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aInteger0(X2)))),inference(distribute,[status(thm)],[107])).
% cnf(109,plain,(smndt0(X1)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(110,plain,(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[108])).
% fof(111, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[16])).
% fof(112, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[111])).
% cnf(113,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aInteger0(X1)|~aInteger0(X2)),inference(split_conjunct,[status(thm)],[112])).
% fof(114, plain,![X1]:(~(aInteger0(X1))|![X2]:((~(aDivisorOf0(X2,X1))|((aInteger0(X2)&~(X2=sz00))&?[X3]:(aInteger0(X3)&sdtasdt0(X2,X3)=X1)))&(((~(aInteger0(X2))|X2=sz00)|![X3]:(~(aInteger0(X3))|~(sdtasdt0(X2,X3)=X1)))|aDivisorOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[17])).
% fof(115, plain,![X4]:(~(aInteger0(X4))|![X5]:((~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&?[X6]:(aInteger0(X6)&sdtasdt0(X5,X6)=X4)))&(((~(aInteger0(X5))|X5=sz00)|![X7]:(~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4)))|aDivisorOf0(X5,X4)))),inference(variable_rename,[status(thm)],[114])).
% fof(116, plain,![X4]:(~(aInteger0(X4))|![X5]:((~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&(aInteger0(esk1_2(X4,X5))&sdtasdt0(X5,esk1_2(X4,X5))=X4)))&(((~(aInteger0(X5))|X5=sz00)|![X7]:(~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4)))|aDivisorOf0(X5,X4)))),inference(skolemize,[status(esa)],[115])).
% fof(117, plain,![X4]:![X5]:![X7]:(((((~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4))|(~(aInteger0(X5))|X5=sz00))|aDivisorOf0(X5,X4))&(~(aDivisorOf0(X5,X4))|((aInteger0(X5)&~(X5=sz00))&(aInteger0(esk1_2(X4,X5))&sdtasdt0(X5,esk1_2(X4,X5))=X4))))|~(aInteger0(X4))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, plain,![X4]:![X5]:![X7]:(((((~(aInteger0(X7))|~(sdtasdt0(X5,X7)=X4))|(~(aInteger0(X5))|X5=sz00))|aDivisorOf0(X5,X4))|~(aInteger0(X4)))&((((aInteger0(X5)|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))&((~(X5=sz00)|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4))))&(((aInteger0(esk1_2(X4,X5))|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))&((sdtasdt0(X5,esk1_2(X4,X5))=X4|~(aDivisorOf0(X5,X4)))|~(aInteger0(X4)))))),inference(distribute,[status(thm)],[117])).
% cnf(119,plain,(sdtasdt0(X2,esk1_2(X1,X2))=X1|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[118])).
% cnf(120,plain,(aInteger0(esk1_2(X1,X2))|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[118])).
% cnf(123,plain,(aDivisorOf0(X2,X1)|X2=sz00|~aInteger0(X1)|~aInteger0(X2)|sdtasdt0(X2,X3)!=X1|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[118])).
% fof(124, plain,![X1]:![X2]:![X3]:((((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|X3=sz00)|((~(sdteqdtlpzmzozddtrp0(X1,X2,X3))|aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))))&(~(aDivisorOf0(X3,sdtpldt0(X1,smndt0(X2))))|sdteqdtlpzmzozddtrp0(X1,X2,X3)))),inference(fof_nnf,[status(thm)],[18])).
% fof(125, plain,![X4]:![X5]:![X6]:((((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|X6=sz00)|((~(sdteqdtlpzmzozddtrp0(X4,X5,X6))|aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5))))&(~(aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5))))|sdteqdtlpzmzozddtrp0(X4,X5,X6)))),inference(variable_rename,[status(thm)],[124])).
% fof(126, plain,![X4]:![X5]:![X6]:(((~(sdteqdtlpzmzozddtrp0(X4,X5,X6))|aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5))))|(((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|X6=sz00))&((~(aDivisorOf0(X6,sdtpldt0(X4,smndt0(X5))))|sdteqdtlpzmzozddtrp0(X4,X5,X6))|(((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|X6=sz00))),inference(distribute,[status(thm)],[125])).
% cnf(127,plain,(X1=sz00|sdteqdtlpzmzozddtrp0(X3,X2,X1)|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)|~aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))),inference(split_conjunct,[status(thm)],[126])).
% cnf(128,plain,(X1=sz00|aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)|~sdteqdtlpzmzozddtrp0(X3,X2,X1)),inference(split_conjunct,[status(thm)],[126])).
% fof(129, plain,![X1]:![X2]:(((~(aInteger0(X1))|~(aInteger0(X2)))|X2=sz00)|sdteqdtlpzmzozddtrp0(X1,X1,X2)),inference(fof_nnf,[status(thm)],[19])).
% fof(130, plain,![X3]:![X4]:(((~(aInteger0(X3))|~(aInteger0(X4)))|X4=sz00)|sdteqdtlpzmzozddtrp0(X3,X3,X4)),inference(variable_rename,[status(thm)],[129])).
% cnf(131,plain,(sdteqdtlpzmzozddtrp0(X1,X1,X2)|X2=sz00|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(132, plain,![X1]:![X2]:![X3]:((((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|X3=sz00)|(~(sdteqdtlpzmzozddtrp0(X1,X2,X3))|sdteqdtlpzmzozddtrp0(X2,X1,X3))),inference(fof_nnf,[status(thm)],[20])).
% fof(133, plain,![X4]:![X5]:![X6]:((((~(aInteger0(X4))|~(aInteger0(X5)))|~(aInteger0(X6)))|X6=sz00)|(~(sdteqdtlpzmzozddtrp0(X4,X5,X6))|sdteqdtlpzmzozddtrp0(X5,X4,X6))),inference(variable_rename,[status(thm)],[132])).
% cnf(134,plain,(sdteqdtlpzmzozddtrp0(X1,X2,X3)|X3=sz00|~sdteqdtlpzmzozddtrp0(X2,X1,X3)|~aInteger0(X3)|~aInteger0(X1)|~aInteger0(X2)),inference(split_conjunct,[status(thm)],[133])).
% fof(138, plain,![X1]:![X2]:![X3]:![X4]:((((((~(aInteger0(X1))|~(aInteger0(X2)))|~(aInteger0(X3)))|X3=sz00)|~(aInteger0(X4)))|X4=sz00)|(~(sdteqdtlpzmzozddtrp0(X1,X2,sdtasdt0(X3,X4)))|(sdteqdtlpzmzozddtrp0(X1,X2,X3)&sdteqdtlpzmzozddtrp0(X1,X2,X4)))),inference(fof_nnf,[status(thm)],[22])).
% fof(139, plain,![X5]:![X6]:![X7]:![X8]:((((((~(aInteger0(X5))|~(aInteger0(X6)))|~(aInteger0(X7)))|X7=sz00)|~(aInteger0(X8)))|X8=sz00)|(~(sdteqdtlpzmzozddtrp0(X5,X6,sdtasdt0(X7,X8)))|(sdteqdtlpzmzozddtrp0(X5,X6,X7)&sdteqdtlpzmzozddtrp0(X5,X6,X8)))),inference(variable_rename,[status(thm)],[138])).
% fof(140, plain,![X5]:![X6]:![X7]:![X8]:(((sdteqdtlpzmzozddtrp0(X5,X6,X7)|~(sdteqdtlpzmzozddtrp0(X5,X6,sdtasdt0(X7,X8))))|(((((~(aInteger0(X5))|~(aInteger0(X6)))|~(aInteger0(X7)))|X7=sz00)|~(aInteger0(X8)))|X8=sz00))&((sdteqdtlpzmzozddtrp0(X5,X6,X8)|~(sdteqdtlpzmzozddtrp0(X5,X6,sdtasdt0(X7,X8))))|(((((~(aInteger0(X5))|~(aInteger0(X6)))|~(aInteger0(X7)))|X7=sz00)|~(aInteger0(X8)))|X8=sz00))),inference(distribute,[status(thm)],[139])).
% cnf(142,plain,(X1=sz00|X2=sz00|sdteqdtlpzmzozddtrp0(X4,X3,X2)|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)|~aInteger0(X4)|~sdteqdtlpzmzozddtrp0(X4,X3,sdtasdt0(X2,X1))),inference(split_conjunct,[status(thm)],[140])).
% fof(203, plain,(((((aSet0(sbsmnsldt0(xS))&![X1]:((~(aElementOf0(X1,sbsmnsldt0(xS)))|(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2))))&((~(aInteger0(X1))|![X2]:(~(aElementOf0(X2,xS))|~(aElementOf0(X1,X2))))|aElementOf0(X1,sbsmnsldt0(xS)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X1]:((~(aElementOf0(X1,stldt0(sbsmnsldt0(xS))))|(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))&((~(aInteger0(X1))|aElementOf0(X1,sbsmnsldt0(xS)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS))))))&![X1]:((~(aElementOf0(X1,stldt0(sbsmnsldt0(xS))))|(X1=sz10|X1=smndt0(sz10)))&((~(X1=sz10)&~(X1=smndt0(sz10)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(fof_nnf,[status(thm)],[49])).
% fof(204, plain,(((((aSet0(sbsmnsldt0(xS))&![X3]:((~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&?[X4]:(aElementOf0(X4,xS)&aElementOf0(X3,X4))))&((~(aInteger0(X3))|![X5]:(~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5))))|aElementOf0(X3,sbsmnsldt0(xS)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X6]:((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&![X7]:((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(variable_rename,[status(thm)],[203])).
% fof(205, plain,(((((aSet0(sbsmnsldt0(xS))&![X3]:((~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&(aElementOf0(esk8_1(X3),xS)&aElementOf0(X3,esk8_1(X3)))))&((~(aInteger0(X3))|![X5]:(~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5))))|aElementOf0(X3,sbsmnsldt0(xS)))))&aSet0(stldt0(sbsmnsldt0(xS))))&![X6]:((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&![X7]:((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(skolemize,[status(esa)],[204])).
% fof(206, plain,![X3]:![X5]:![X6]:![X7]:((((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)&~(X7=smndt0(sz10)))|aElementOf0(X7,stldt0(sbsmnsldt0(xS)))))&(((~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))|(aInteger0(X6)&~(aElementOf0(X6,sbsmnsldt0(xS)))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&((((((~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5)))|~(aInteger0(X3)))|aElementOf0(X3,sbsmnsldt0(xS)))&(~(aElementOf0(X3,sbsmnsldt0(xS)))|(aInteger0(X3)&(aElementOf0(esk8_1(X3),xS)&aElementOf0(X3,esk8_1(X3))))))&aSet0(sbsmnsldt0(xS)))&aSet0(stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(shift_quantors,[status(thm)],[205])).
% fof(207, plain,![X3]:![X5]:![X6]:![X7]:((((~(aElementOf0(X7,stldt0(sbsmnsldt0(xS))))|(X7=sz10|X7=smndt0(sz10)))&((~(X7=sz10)|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))&(~(X7=smndt0(sz10))|aElementOf0(X7,stldt0(sbsmnsldt0(xS))))))&((((aInteger0(X6)|~(aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&(~(aElementOf0(X6,sbsmnsldt0(xS)))|~(aElementOf0(X6,stldt0(sbsmnsldt0(xS))))))&((~(aInteger0(X6))|aElementOf0(X6,sbsmnsldt0(xS)))|aElementOf0(X6,stldt0(sbsmnsldt0(xS)))))&((((((~(aElementOf0(X5,xS))|~(aElementOf0(X3,X5)))|~(aInteger0(X3)))|aElementOf0(X3,sbsmnsldt0(xS)))&((aInteger0(X3)|~(aElementOf0(X3,sbsmnsldt0(xS))))&((aElementOf0(esk8_1(X3),xS)|~(aElementOf0(X3,sbsmnsldt0(xS))))&(aElementOf0(X3,esk8_1(X3))|~(aElementOf0(X3,sbsmnsldt0(xS)))))))&aSet0(sbsmnsldt0(xS)))&aSet0(stldt0(sbsmnsldt0(xS))))))&stldt0(sbsmnsldt0(xS))=cS2076),inference(distribute,[status(thm)],[206])).
% cnf(208,plain,(stldt0(sbsmnsldt0(xS))=cS2076),inference(split_conjunct,[status(thm)],[207])).
% cnf(217,plain,(aInteger0(X1)|~aElementOf0(X1,stldt0(sbsmnsldt0(xS)))),inference(split_conjunct,[status(thm)],[207])).
% cnf(218,plain,(aElementOf0(X1,stldt0(sbsmnsldt0(xS)))|X1!=smndt0(sz10)),inference(split_conjunct,[status(thm)],[207])).
% fof(271, plain,((((((((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&![X1]:((~(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|(((aInteger0(X1)&?[X2]:(aInteger0(X2)&sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X1,sz10,xp)))&((~(aInteger0(X1))|((![X2]:(~(aInteger0(X2))|~(sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X1,sz10,xp))))|aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&aSet0(sbsmnsldt0(xS)))&![X1]:((~(aElementOf0(X1,sbsmnsldt0(xS)))|(aInteger0(X1)&?[X2]:(aElementOf0(X2,xS)&aElementOf0(X1,X2))))&((~(aInteger0(X1))|![X2]:(~(aElementOf0(X2,xS))|~(aElementOf0(X1,X2))))|aElementOf0(X1,sbsmnsldt0(xS)))))&![X1]:((~(aElementOf0(X1,stldt0(sbsmnsldt0(xS))))|(aInteger0(X1)&~(aElementOf0(X1,sbsmnsldt0(xS)))))&((~(aInteger0(X1))|aElementOf0(X1,sbsmnsldt0(xS)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS))))))&![X1]:(~(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|aElementOf0(X1,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(fof_nnf,[status(thm)],[51])).
% fof(272, plain,((((((((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&![X3]:((~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|(((aInteger0(X3)&?[X4]:(aInteger0(X4)&sdtasdt0(xp,X4)=sdtpldt0(X3,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X3,sz10,xp)))&((~(aInteger0(X3))|((![X5]:(~(aInteger0(X5))|~(sdtasdt0(xp,X5)=sdtpldt0(X3,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&aSet0(sbsmnsldt0(xS)))&![X6]:((~(aElementOf0(X6,sbsmnsldt0(xS)))|(aInteger0(X6)&?[X7]:(aElementOf0(X7,xS)&aElementOf0(X6,X7))))&((~(aInteger0(X6))|![X8]:(~(aElementOf0(X8,xS))|~(aElementOf0(X6,X8))))|aElementOf0(X6,sbsmnsldt0(xS)))))&![X9]:((~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))|(aInteger0(X9)&~(aElementOf0(X9,sbsmnsldt0(xS)))))&((~(aInteger0(X9))|aElementOf0(X9,sbsmnsldt0(xS)))|aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&![X10]:(~(aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|aElementOf0(X10,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(variable_rename,[status(thm)],[271])).
% fof(273, plain,((((((((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&![X3]:((~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|(((aInteger0(X3)&(aInteger0(esk15_1(X3))&sdtasdt0(xp,esk15_1(X3))=sdtpldt0(X3,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X3,sz10,xp)))&((~(aInteger0(X3))|((![X5]:(~(aInteger0(X5))|~(sdtasdt0(xp,X5)=sdtpldt0(X3,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&aSet0(sbsmnsldt0(xS)))&![X6]:((~(aElementOf0(X6,sbsmnsldt0(xS)))|(aInteger0(X6)&(aElementOf0(esk16_1(X6),xS)&aElementOf0(X6,esk16_1(X6)))))&((~(aInteger0(X6))|![X8]:(~(aElementOf0(X8,xS))|~(aElementOf0(X6,X8))))|aElementOf0(X6,sbsmnsldt0(xS)))))&![X9]:((~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))|(aInteger0(X9)&~(aElementOf0(X9,sbsmnsldt0(xS)))))&((~(aInteger0(X9))|aElementOf0(X9,sbsmnsldt0(xS)))|aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&![X10]:(~(aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|aElementOf0(X10,stldt0(sbsmnsldt0(xS)))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(skolemize,[status(esa)],[272])).
% fof(274, plain,![X3]:![X5]:![X6]:![X8]:![X9]:![X10]:(((~(aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|aElementOf0(X10,stldt0(sbsmnsldt0(xS))))&(((~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))|(aInteger0(X9)&~(aElementOf0(X9,sbsmnsldt0(xS)))))&((~(aInteger0(X9))|aElementOf0(X9,sbsmnsldt0(xS)))|aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(((((~(aElementOf0(X8,xS))|~(aElementOf0(X6,X8)))|~(aInteger0(X6)))|aElementOf0(X6,sbsmnsldt0(xS)))&(~(aElementOf0(X6,sbsmnsldt0(xS)))|(aInteger0(X6)&(aElementOf0(esk16_1(X6),xS)&aElementOf0(X6,esk16_1(X6))))))&((((((((~(aInteger0(X5))|~(sdtasdt0(xp,X5)=sdtpldt0(X3,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X3,sz10,xp)))|~(aInteger0(X3)))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&(~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|(((aInteger0(X3)&(aInteger0(esk15_1(X3))&sdtasdt0(xp,esk15_1(X3))=sdtpldt0(X3,smndt0(sz10))))&aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))&sdteqdtlpzmzozddtrp0(X3,sz10,xp))))&((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&aSet0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(shift_quantors,[status(thm)],[273])).
% fof(275, plain,![X3]:![X5]:![X6]:![X8]:![X9]:![X10]:(((~(aElementOf0(X10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))|aElementOf0(X10,stldt0(sbsmnsldt0(xS))))&((((aInteger0(X9)|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(~(aElementOf0(X9,sbsmnsldt0(xS)))|~(aElementOf0(X9,stldt0(sbsmnsldt0(xS))))))&((~(aInteger0(X9))|aElementOf0(X9,sbsmnsldt0(xS)))|aElementOf0(X9,stldt0(sbsmnsldt0(xS)))))&(((((~(aElementOf0(X8,xS))|~(aElementOf0(X6,X8)))|~(aInteger0(X6)))|aElementOf0(X6,sbsmnsldt0(xS)))&((aInteger0(X6)|~(aElementOf0(X6,sbsmnsldt0(xS))))&((aElementOf0(esk16_1(X6),xS)|~(aElementOf0(X6,sbsmnsldt0(xS))))&(aElementOf0(X6,esk16_1(X6))|~(aElementOf0(X6,sbsmnsldt0(xS)))))))&((((((((~(aInteger0(X5))|~(sdtasdt0(xp,X5)=sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3)))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))&((~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3)))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&((~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))|~(aInteger0(X3)))|aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&((((aInteger0(X3)|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&((aInteger0(esk15_1(X3))|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&(sdtasdt0(xp,esk15_1(X3))=sdtpldt0(X3,smndt0(sz10))|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))&(sdteqdtlpzmzozddtrp0(X3,sz10,xp)|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))))&((aInteger0(xp)&~(xp=sz00))&aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&aSet0(sbsmnsldt0(xS))))))&aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS)))),inference(distribute,[status(thm)],[274])).
% cnf(279,plain,(xp!=sz00),inference(split_conjunct,[status(thm)],[275])).
% cnf(280,plain,(aInteger0(xp)),inference(split_conjunct,[status(thm)],[275])).
% cnf(282,plain,(aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(split_conjunct,[status(thm)],[275])).
% cnf(283,plain,(sdtasdt0(xp,esk15_1(X1))=sdtpldt0(X1,smndt0(sz10))|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(split_conjunct,[status(thm)],[275])).
% cnf(284,plain,(aInteger0(esk15_1(X1))|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(split_conjunct,[status(thm)],[275])).
% cnf(285,plain,(aInteger0(X1)|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(split_conjunct,[status(thm)],[275])).
% cnf(286,plain,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aInteger0(X1)|~sdteqdtlpzmzozddtrp0(X1,sz10,xp)),inference(split_conjunct,[status(thm)],[275])).
% cnf(287,plain,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aInteger0(X1)|~aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))),inference(split_conjunct,[status(thm)],[275])).
% fof(410, negated_conjecture,![X1]:(((~(aInteger0(X1))|((![X2]:(~(aInteger0(X2))|~(sdtasdt0(xp,X2)=sdtpldt0(X1,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X1,sz10,xp))))&~(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))|((X1=sz10|X1=smndt0(sz10))&aElementOf0(X1,cS2200))),inference(fof_nnf,[status(thm)],[48])).
% fof(411, negated_conjecture,![X3]:(((~(aInteger0(X3))|((![X4]:(~(aInteger0(X4))|~(sdtasdt0(xp,X4)=sdtpldt0(X3,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))))&~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))|((X3=sz10|X3=smndt0(sz10))&aElementOf0(X3,cS2200))),inference(variable_rename,[status(thm)],[410])).
% fof(412, negated_conjecture,![X3]:![X4]:((((((~(aInteger0(X4))|~(sdtasdt0(xp,X4)=sdtpldt0(X3,smndt0(sz10))))&~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10)))))&~(sdteqdtlpzmzozddtrp0(X3,sz10,xp)))|~(aInteger0(X3)))&~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))|((X3=sz10|X3=smndt0(sz10))&aElementOf0(X3,cS2200))),inference(shift_quantors,[status(thm)],[411])).
% fof(413, negated_conjecture,![X3]:![X4]:((((((X3=sz10|X3=smndt0(sz10))|((~(aInteger0(X4))|~(sdtasdt0(xp,X4)=sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3))))&(aElementOf0(X3,cS2200)|((~(aInteger0(X4))|~(sdtasdt0(xp,X4)=sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3)))))&(((X3=sz10|X3=smndt0(sz10))|(~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3))))&(aElementOf0(X3,cS2200)|(~(aDivisorOf0(xp,sdtpldt0(X3,smndt0(sz10))))|~(aInteger0(X3))))))&(((X3=sz10|X3=smndt0(sz10))|(~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))|~(aInteger0(X3))))&(aElementOf0(X3,cS2200)|(~(sdteqdtlpzmzozddtrp0(X3,sz10,xp))|~(aInteger0(X3))))))&(((X3=sz10|X3=smndt0(sz10))|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp))))&(aElementOf0(X3,cS2200)|~(aElementOf0(X3,szAzrzSzezqlpdtcmdtrp0(sz10,xp)))))),inference(distribute,[status(thm)],[412])).
% cnf(415,negated_conjecture,(X1=smndt0(sz10)|X1=sz10|~aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(split_conjunct,[status(thm)],[413])).
% cnf(419,negated_conjecture,(X1=smndt0(sz10)|X1=sz10|~aInteger0(X1)|~aDivisorOf0(xp,sdtpldt0(X1,smndt0(sz10)))),inference(split_conjunct,[status(thm)],[413])).
% cnf(447,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|~aInteger0(sz00)),inference(spm,[status(thm)],[78,84,theory(equality)])).
% cnf(449,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|$false),inference(rw,[status(thm)],[447,58,theory(equality)])).
% cnf(450,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))),inference(cn,[status(thm)],[449,theory(equality)])).
% cnf(514,plain,(aInteger0(X1)|~aElementOf0(X1,cS2076)),inference(rw,[status(thm)],[217,208,theory(equality)])).
% cnf(524,plain,(aElementOf0(X1,cS2076)|smndt0(sz10)!=X1),inference(rw,[status(thm)],[218,208,theory(equality)])).
% cnf(525,plain,(aElementOf0(smndt0(sz10),cS2076)),inference(er,[status(thm)],[524,theory(equality)])).
% cnf(532,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sz00)|~aInteger0(smndt0(smndt0(sz10)))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[287,83,theory(equality)])).
% cnf(534,plain,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[287,74,theory(equality)])).
% cnf(549,plain,(aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|sz00=xp|~aInteger0(sz10)|~aInteger0(xp)),inference(spm,[status(thm)],[286,131,theory(equality)])).
% cnf(554,plain,(aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|sz00=xp|$false|~aInteger0(xp)),inference(rw,[status(thm)],[549,59,theory(equality)])).
% cnf(555,plain,(aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|sz00=xp|$false|$false),inference(rw,[status(thm)],[554,280,theory(equality)])).
% cnf(556,plain,(aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|sz00=xp),inference(cn,[status(thm)],[555,theory(equality)])).
% cnf(557,plain,(aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(sr,[status(thm)],[556,279,theory(equality)])).
% cnf(560,negated_conjecture,(smndt0(sz10)=X1|sz10=X1|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[419,74,theory(equality)])).
% cnf(834,plain,(sz00=X1|aDivisorOf0(X1,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[123,theory(equality)])).
% cnf(838,plain,(sz00=X1|aDivisorOf0(X1,X2)|X1!=X2|~aInteger0(sz10)|~aInteger0(X1)|~aInteger0(X2)),inference(spm,[status(thm)],[123,95,theory(equality)])).
% cnf(845,plain,(sz00=X1|aDivisorOf0(X1,X2)|X1!=X2|$false|~aInteger0(X1)|~aInteger0(X2)),inference(rw,[status(thm)],[838,59,theory(equality)])).
% cnf(846,plain,(sz00=X1|aDivisorOf0(X1,X2)|X1!=X2|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[845,theory(equality)])).
% cnf(847,plain,(sz00=X1|aDivisorOf0(X1,X1)|~aInteger0(X1)),inference(er,[status(thm)],[846,theory(equality)])).
% cnf(880,plain,(aElementOf0(sdtpldt0(X1,X2),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(smndt0(sz10))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[287,71,theory(equality)])).
% cnf(881,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(smndt0(sdtpldt0(X1,X2)))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[84,71,theory(equality)])).
% cnf(883,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X3)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[74,71,theory(equality)])).
% cnf(887,plain,(sdtpldt0(sz00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[71,83,theory(equality)])).
% cnf(899,plain,(sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10)))=smndt0(sdtasdt0(X1,X2))|~aInteger0(sdtasdt0(X1,X2))|~aInteger0(smndt0(sz10))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[109,87,theory(equality)])).
% cnf(902,plain,(sz00=X1|sz00=sdtasdt0(X2,X3)|sdtasdt0(X2,sdtasdt0(X3,X1))!=sz00|~aInteger0(sdtasdt0(X2,X3))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(spm,[status(thm)],[113,87,theory(equality)])).
% cnf(903,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aInteger0(sdtasdt0(X2,X3))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(spm,[status(thm)],[90,87,theory(equality)])).
% cnf(908,plain,(sdtasdt0(smndt0(X1),X2)=sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[87,110,theory(equality)])).
% cnf(909,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[87,94,theory(equality)])).
% cnf(911,plain,(sdtasdt0(smndt0(X1),X2)=sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))|~aInteger0(X2)|~aInteger0(smndt0(sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[87,109,theory(equality)])).
% cnf(920,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[909,59,theory(equality)])).
% cnf(921,plain,(sdtasdt0(X1,X2)=sdtasdt0(sz10,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[920,theory(equality)])).
% cnf(979,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aInteger0(sdtasdt0(X1,X3))|~aInteger0(sdtasdt0(X1,X2))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(spm,[status(thm)],[65,100,theory(equality)])).
% cnf(984,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aInteger0(sz10)|~aInteger0(X1)|~aInteger0(X2)),inference(spm,[status(thm)],[100,94,theory(equality)])).
% cnf(986,plain,(sdtpldt0(sdtasdt0(X1,X2),smndt0(X1))=sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[100,109,theory(equality)])).
% cnf(987,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[100,95,theory(equality)])).
% cnf(993,plain,(sdtpldt0(X1,sdtasdt0(sz10,X2))=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aInteger0(sz10)|~aInteger0(X1)|~aInteger0(X2)),inference(spm,[status(thm)],[100,94,theory(equality)])).
% cnf(995,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(smndt0(sz10),X2))|~aInteger0(X1)|~aInteger0(smndt0(sz10))|~aInteger0(X2)),inference(spm,[status(thm)],[100,109,theory(equality)])).
% cnf(997,plain,(sdtpldt0(sz00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz00,X2))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(X2)),inference(spm,[status(thm)],[100,105,theory(equality)])).
% cnf(1000,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|$false|~aInteger0(X1)|~aInteger0(X2)),inference(rw,[status(thm)],[984,59,theory(equality)])).
% cnf(1001,plain,(sdtpldt0(sdtasdt0(sz10,X1),X2)=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[1000,theory(equality)])).
% cnf(1004,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[987,59,theory(equality)])).
% cnf(1005,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[1004,theory(equality)])).
% cnf(1008,plain,(sdtpldt0(X1,sdtasdt0(sz10,X2))=sdtasdt0(sz10,sdtpldt0(X1,X2))|$false|~aInteger0(X1)|~aInteger0(X2)),inference(rw,[status(thm)],[993,59,theory(equality)])).
% cnf(1009,plain,(sdtpldt0(X1,sdtasdt0(sz10,X2))=sdtasdt0(sz10,sdtpldt0(X1,X2))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[1008,theory(equality)])).
% cnf(1014,plain,(sdtpldt0(sz00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz00,X2))|~aInteger0(X1)|$false|~aInteger0(X2)),inference(rw,[status(thm)],[997,58,theory(equality)])).
% cnf(1015,plain,(sdtpldt0(sz00,sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(sz00,X2))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[1014,theory(equality)])).
% cnf(1020,plain,(sdtasdt0(sdtpldt0(X1,X1),X2)=sdtasdt0(X1,sdtpldt0(X2,X2))|~aInteger0(X1)|~aInteger0(X2)),inference(spm,[status(thm)],[100,99,theory(equality)])).
% cnf(1026,plain,(sdtpldt0(sdtasdt0(X1,sz10),X2)=sdtasdt0(sdtpldt0(X1,X2),sz10)|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[99,95,theory(equality)])).
% cnf(1031,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X2,X1))=sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)|~aInteger0(smndt0(sz10))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[99,110,theory(equality)])).
% cnf(1043,plain,(sdtpldt0(sdtasdt0(X1,sz10),X2)=sdtasdt0(sdtpldt0(X1,X2),sz10)|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[1026,59,theory(equality)])).
% cnf(1044,plain,(sdtpldt0(sdtasdt0(X1,sz10),X2)=sdtasdt0(sdtpldt0(X1,X2),sz10)|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[1043,theory(equality)])).
% cnf(1961,plain,(aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[514,525,theory(equality)])).
% cnf(1985,plain,(smndt0(sz00)=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[450,62,theory(equality)])).
% cnf(1986,plain,(smndt0(sz00)=sz00|$false),inference(rw,[status(thm)],[1985,58,theory(equality)])).
% cnf(1987,plain,(smndt0(sz00)=sz00),inference(cn,[status(thm)],[1986,theory(equality)])).
% cnf(1989,plain,(aInteger0(esk15_1(sz10))),inference(spm,[status(thm)],[284,557,theory(equality)])).
% cnf(1992,plain,(sdtasdt0(xp,esk15_1(sz10))=sdtpldt0(sz10,smndt0(sz10))),inference(spm,[status(thm)],[283,557,theory(equality)])).
% cnf(1993,plain,(aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sz10)))),inference(spm,[status(thm)],[282,557,theory(equality)])).
% cnf(2026,plain,(aDivisorOf0(xp,sz00)|~aInteger0(sz10)),inference(spm,[status(thm)],[1993,84,theory(equality)])).
% cnf(2038,plain,(aDivisorOf0(xp,sz00)|$false),inference(rw,[status(thm)],[2026,59,theory(equality)])).
% cnf(2039,plain,(aDivisorOf0(xp,sz00)),inference(cn,[status(thm)],[2038,theory(equality)])).
% cnf(2066,plain,(aInteger0(esk1_2(sz00,xp))|~aInteger0(sz00)),inference(spm,[status(thm)],[120,2039,theory(equality)])).
% cnf(2068,plain,(sdtasdt0(xp,esk1_2(sz00,xp))=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[119,2039,theory(equality)])).
% cnf(2069,plain,(aInteger0(esk1_2(sz00,xp))|$false),inference(rw,[status(thm)],[2066,58,theory(equality)])).
% cnf(2070,plain,(aInteger0(esk1_2(sz00,xp))),inference(cn,[status(thm)],[2069,theory(equality)])).
% cnf(2074,plain,(sdtasdt0(xp,esk1_2(sz00,xp))=sz00|$false),inference(rw,[status(thm)],[2068,58,theory(equality)])).
% cnf(2075,plain,(sdtasdt0(xp,esk1_2(sz00,xp))=sz00),inference(cn,[status(thm)],[2074,theory(equality)])).
% cnf(2134,plain,(sz00=esk15_1(sz10)|sz00=xp|sdtpldt0(sz10,smndt0(sz10))!=sz00|~aInteger0(xp)|~aInteger0(esk15_1(sz10))),inference(spm,[status(thm)],[113,1992,theory(equality)])).
% cnf(2147,plain,(sz00=esk15_1(sz10)|sz00=xp|sdtpldt0(sz10,smndt0(sz10))!=sz00|$false|~aInteger0(esk15_1(sz10))),inference(rw,[status(thm)],[2134,280,theory(equality)])).
% cnf(2148,plain,(sz00=esk15_1(sz10)|sz00=xp|sdtpldt0(sz10,smndt0(sz10))!=sz00|$false|$false),inference(rw,[status(thm)],[2147,1989,theory(equality)])).
% cnf(2149,plain,(sz00=esk15_1(sz10)|sz00=xp|sdtpldt0(sz10,smndt0(sz10))!=sz00),inference(cn,[status(thm)],[2148,theory(equality)])).
% cnf(2150,plain,(esk15_1(sz10)=sz00|sdtpldt0(sz10,smndt0(sz10))!=sz00),inference(sr,[status(thm)],[2149,279,theory(equality)])).
% cnf(2195,plain,(sz00=esk1_2(sz00,xp)|sz00=xp|~aInteger0(xp)|~aInteger0(esk1_2(sz00,xp))),inference(spm,[status(thm)],[113,2075,theory(equality)])).
% cnf(2208,plain,(sz00=esk1_2(sz00,xp)|sz00=xp|$false|~aInteger0(esk1_2(sz00,xp))),inference(rw,[status(thm)],[2195,280,theory(equality)])).
% cnf(2209,plain,(sz00=esk1_2(sz00,xp)|sz00=xp|$false|$false),inference(rw,[status(thm)],[2208,2070,theory(equality)])).
% cnf(2210,plain,(sz00=esk1_2(sz00,xp)|sz00=xp),inference(cn,[status(thm)],[2209,theory(equality)])).
% cnf(2211,plain,(esk1_2(sz00,xp)=sz00),inference(sr,[status(thm)],[2210,279,theory(equality)])).
% cnf(2255,plain,(sdtasdt0(xp,sz00)=sz00),inference(rw,[status(thm)],[2075,2211,theory(equality)])).
% cnf(2257,plain,(sdtasdt0(sz00,xp)=sz00|~aInteger0(xp)|~aInteger0(sz00)),inference(spm,[status(thm)],[90,2255,theory(equality)])).
% cnf(2261,plain,(sdtpldt0(sz00,sdtasdt0(xp,X1))=sdtasdt0(xp,sdtpldt0(sz00,X1))|~aInteger0(xp)|~aInteger0(sz00)|~aInteger0(X1)),inference(spm,[status(thm)],[100,2255,theory(equality)])).
% cnf(2265,plain,(sdtpldt0(sdtasdt0(xp,X1),sz00)=sdtasdt0(xp,sdtpldt0(X1,sz00))|~aInteger0(xp)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[100,2255,theory(equality)])).
% cnf(2266,plain,(sdtasdt0(sz00,xp)=sz00|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2257,280,theory(equality)])).
% cnf(2267,plain,(sdtasdt0(sz00,xp)=sz00|$false|$false),inference(rw,[status(thm)],[2266,58,theory(equality)])).
% cnf(2268,plain,(sdtasdt0(sz00,xp)=sz00),inference(cn,[status(thm)],[2267,theory(equality)])).
% cnf(2279,plain,(sdtpldt0(sz00,sdtasdt0(xp,X1))=sdtasdt0(xp,sdtpldt0(sz00,X1))|$false|~aInteger0(sz00)|~aInteger0(X1)),inference(rw,[status(thm)],[2261,280,theory(equality)])).
% cnf(2280,plain,(sdtpldt0(sz00,sdtasdt0(xp,X1))=sdtasdt0(xp,sdtpldt0(sz00,X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[2279,58,theory(equality)])).
% cnf(2281,plain,(sdtpldt0(sz00,sdtasdt0(xp,X1))=sdtasdt0(xp,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2280,theory(equality)])).
% cnf(2292,plain,(sdtpldt0(sdtasdt0(xp,X1),sz00)=sdtasdt0(xp,sdtpldt0(X1,sz00))|$false|~aInteger0(X1)|~aInteger0(sz00)),inference(rw,[status(thm)],[2265,280,theory(equality)])).
% cnf(2293,plain,(sdtpldt0(sdtasdt0(xp,X1),sz00)=sdtasdt0(xp,sdtpldt0(X1,sz00))|$false|~aInteger0(X1)|$false),inference(rw,[status(thm)],[2292,58,theory(equality)])).
% cnf(2294,plain,(sdtpldt0(sdtasdt0(xp,X1),sz00)=sdtasdt0(xp,sdtpldt0(X1,sz00))|~aInteger0(X1)),inference(cn,[status(thm)],[2293,theory(equality)])).
% cnf(2319,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xp,X1))|~aInteger0(X1)|~aInteger0(xp)|~aInteger0(sz00)),inference(spm,[status(thm)],[87,2268,theory(equality)])).
% cnf(2328,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xp,X1))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2319,280,theory(equality)])).
% cnf(2329,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xp,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[2328,58,theory(equality)])).
% cnf(2330,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xp,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2329,theory(equality)])).
% cnf(2402,plain,(esk15_1(sz10)=sz00|~aInteger0(sz10)),inference(spm,[status(thm)],[2150,84,theory(equality)])).
% cnf(2403,plain,(esk15_1(sz10)=sz00|$false),inference(rw,[status(thm)],[2402,59,theory(equality)])).
% cnf(2404,plain,(esk15_1(sz10)=sz00),inference(cn,[status(thm)],[2403,theory(equality)])).
% cnf(2405,plain,(sz00=sdtpldt0(sz10,smndt0(sz10))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[1992,2404,theory(equality)]),2255,theory(equality)])).
% cnf(2409,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[71,2405,theory(equality)])).
% cnf(2421,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[2409,1961,theory(equality)])).
% cnf(2422,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[2421,59,theory(equality)])).
% cnf(2423,plain,(sdtpldt0(sz00,X1)=sdtpldt0(sz10,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2422,theory(equality)])).
% cnf(2650,plain,(sdtasdt0(sz00,xp)=sdtasdt0(sz00,sz10)|~aInteger0(sz10)|~aInteger0(xp)),inference(spm,[status(thm)],[2330,95,theory(equality)])).
% cnf(2668,plain,(sz00=sdtasdt0(sz00,sz10)|~aInteger0(sz10)|~aInteger0(xp)),inference(rw,[status(thm)],[2650,2268,theory(equality)])).
% cnf(2669,plain,(sz00=sdtasdt0(sz00,sz10)|$false|~aInteger0(xp)),inference(rw,[status(thm)],[2668,59,theory(equality)])).
% cnf(2670,plain,(sz00=sdtasdt0(sz00,sz10)|$false|$false),inference(rw,[status(thm)],[2669,280,theory(equality)])).
% cnf(2671,plain,(sz00=sdtasdt0(sz00,sz10)),inference(cn,[status(thm)],[2670,theory(equality)])).
% cnf(2927,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(sdtpldt0(smndt0(sz10),X1))|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[65,2423,theory(equality)])).
% cnf(2931,plain,(sdtpldt0(sz10,sdtpldt0(X1,smndt0(sz10)))=sdtpldt0(sz00,X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[2423,74,theory(equality)])).
% cnf(2933,plain,(sdtpldt0(sz10,sz00)=sdtpldt0(sz00,sz10)|~aInteger0(sz10)),inference(spm,[status(thm)],[2423,83,theory(equality)])).
% cnf(2934,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(sdtpldt0(smndt0(sz10),X1))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[2927,59,theory(equality)])).
% cnf(2935,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2934,theory(equality)])).
% cnf(2945,plain,(sdtpldt0(sz10,sdtpldt0(X1,smndt0(sz10)))=sdtpldt0(sz00,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[2931,1961,theory(equality)])).
% cnf(2946,plain,(sdtpldt0(sz10,sdtpldt0(X1,smndt0(sz10)))=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[2945,theory(equality)])).
% cnf(2949,plain,(sdtpldt0(sz10,sz00)=sdtpldt0(sz00,sz10)|$false),inference(rw,[status(thm)],[2933,59,theory(equality)])).
% cnf(2950,plain,(sdtpldt0(sz10,sz00)=sdtpldt0(sz00,sz10)),inference(cn,[status(thm)],[2949,theory(equality)])).
% cnf(2953,plain,(sdtpldt0(sz00,sz10)=sz10|~aInteger0(sz10)),inference(spm,[status(thm)],[79,2950,theory(equality)])).
% cnf(2961,plain,(sdtpldt0(sz00,sz10)=sz10|$false),inference(rw,[status(thm)],[2953,59,theory(equality)])).
% cnf(2962,plain,(sdtpldt0(sz00,sz10)=sz10),inference(cn,[status(thm)],[2961,theory(equality)])).
% cnf(2970,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz00,sdtpldt0(sz10,X1))|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(sz00)),inference(spm,[status(thm)],[71,2962,theory(equality)])).
% cnf(2971,plain,(sdtpldt0(sz10,sz00)=sz10),inference(rw,[status(thm)],[2950,2962,theory(equality)])).
% cnf(2977,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz00,sdtpldt0(sz10,X1))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2970,59,theory(equality)])).
% cnf(2978,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz00,sdtpldt0(sz10,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[2977,58,theory(equality)])).
% cnf(2979,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz00,sdtpldt0(sz10,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2978,theory(equality)])).
% cnf(2982,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz10,sdtpldt0(sz00,X1))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(sz10)),inference(spm,[status(thm)],[71,2971,theory(equality)])).
% cnf(2993,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz10,sdtpldt0(sz00,X1))|~aInteger0(X1)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[2982,58,theory(equality)])).
% cnf(2994,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz10,sdtpldt0(sz00,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[2993,59,theory(equality)])).
% cnf(2995,plain,(sdtpldt0(sz10,X1)=sdtpldt0(sz10,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2994,theory(equality)])).
% cnf(3007,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[2935,65,theory(equality)])).
% cnf(3023,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[3007,1961,theory(equality)])).
% cnf(3024,plain,(aInteger0(sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[3023,theory(equality)])).
% cnf(3082,plain,(sdtpldt0(sz00,sdtpldt0(X1,sz10))=sdtpldt0(X1,sz10)|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[2979,74,theory(equality)])).
% cnf(3099,plain,(sdtpldt0(sz00,sdtpldt0(X1,sz10))=sdtpldt0(X1,sz10)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[3082,59,theory(equality)])).
% cnf(3100,plain,(sdtpldt0(sz00,sdtpldt0(X1,sz10))=sdtpldt0(X1,sz10)|~aInteger0(X1)),inference(cn,[status(thm)],[3099,theory(equality)])).
% cnf(3109,plain,(aInteger0(sdtpldt0(sz10,X1))|~aInteger0(sdtpldt0(sz00,X1))|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[65,2995,theory(equality)])).
% cnf(3113,plain,(sdtpldt0(sz10,sdtpldt0(X1,sz00))=sdtpldt0(sz10,X1)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[2995,74,theory(equality)])).
% cnf(3115,plain,(aInteger0(sdtpldt0(sz10,X1))|~aInteger0(sdtpldt0(sz00,X1))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[3109,59,theory(equality)])).
% cnf(3116,plain,(aInteger0(sdtpldt0(sz10,X1))|~aInteger0(sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[3115,theory(equality)])).
% cnf(3124,plain,(sdtpldt0(sz10,sdtpldt0(X1,sz00))=sdtpldt0(sz10,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[3113,58,theory(equality)])).
% cnf(3125,plain,(sdtpldt0(sz10,sdtpldt0(X1,sz00))=sdtpldt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[3124,theory(equality)])).
% cnf(3128,plain,(aInteger0(sdtpldt0(sz10,X1))|~aInteger0(X1)),inference(csr,[status(thm)],[3116,3024])).
% cnf(3131,plain,(aInteger0(sdtpldt0(X1,sz10))|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[3128,74,theory(equality)])).
% cnf(3145,plain,(aInteger0(sdtpldt0(X1,sz10))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[3131,59,theory(equality)])).
% cnf(3146,plain,(aInteger0(sdtpldt0(X1,sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[3145,theory(equality)])).
% cnf(3155,plain,(aInteger0(sdtpldt0(X1,sdtpldt0(X2,sz10)))|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(sz10)|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[3146,71,theory(equality)])).
% cnf(3161,plain,(aInteger0(sdtpldt0(X1,sdtpldt0(X2,sz10)))|~aInteger0(sdtpldt0(X1,X2))|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[3155,59,theory(equality)])).
% cnf(3162,plain,(aInteger0(sdtpldt0(X1,sdtpldt0(X2,sz10)))|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[3161,theory(equality)])).
% cnf(3260,plain,(aInteger0(sdtpldt0(X1,sdtpldt0(X2,sz10)))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[3162,65])).
% cnf(3270,plain,(aInteger0(sdtpldt0(sz10,sz10))|~aInteger0(sz00)|~aInteger0(sz10)),inference(spm,[status(thm)],[3260,2995,theory(equality)])).
% cnf(3274,plain,(aInteger0(sdtpldt0(sdtpldt0(X2,sz10),X1))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sdtpldt0(X2,sz10))),inference(spm,[status(thm)],[3260,74,theory(equality)])).
% cnf(3295,plain,(aInteger0(sdtpldt0(sz10,sz10))|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[3270,58,theory(equality)])).
% cnf(3296,plain,(aInteger0(sdtpldt0(sz10,sz10))|$false|$false),inference(rw,[status(thm)],[3295,59,theory(equality)])).
% cnf(3297,plain,(aInteger0(sdtpldt0(sz10,sz10))),inference(cn,[status(thm)],[3296,theory(equality)])).
% cnf(3363,plain,(aInteger0(sdtpldt0(sdtpldt0(X2,sz10),X1))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[3274,3146])).
% cnf(3368,plain,(aInteger0(sdtpldt0(sdtpldt0(sz10,X1),X2))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[3363,74,theory(equality)])).
% cnf(3385,plain,(aInteger0(sdtpldt0(sdtpldt0(sz10,X1),X2))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[3368,59,theory(equality)])).
% cnf(3386,plain,(aInteger0(sdtpldt0(sdtpldt0(sz10,X1),X2))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[3385,theory(equality)])).
% cnf(3414,plain,(aInteger0(sdtpldt0(sz10,sdtpldt0(X1,X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[3386,71,theory(equality)])).
% cnf(3432,plain,(aInteger0(sdtpldt0(sz10,sdtpldt0(X1,X2)))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[3414,59,theory(equality)])).
% cnf(3433,plain,(aInteger0(sdtpldt0(sz10,sdtpldt0(X1,X2)))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[3432,theory(equality)])).
% cnf(3459,plain,(sz00=sdtpldt0(X1,smndt0(X2))|sdteqdtlpzmzozddtrp0(X1,X2,sdtpldt0(X1,smndt0(X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sdtpldt0(X1,smndt0(X2)))),inference(spm,[status(thm)],[127,847,theory(equality)])).
% cnf(3530,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false|~aInteger0(smndt0(smndt0(sz10)))|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[532,2039,theory(equality)])).
% cnf(3531,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false|~aInteger0(smndt0(smndt0(sz10)))|$false),inference(rw,[status(thm)],[3530,1961,theory(equality)])).
% cnf(3532,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aInteger0(smndt0(smndt0(sz10)))),inference(cn,[status(thm)],[3531,theory(equality)])).
% cnf(3533,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[3532,62,theory(equality)])).
% cnf(3534,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false),inference(rw,[status(thm)],[3533,1961,theory(equality)])).
% cnf(3535,plain,(aElementOf0(smndt0(smndt0(sz10)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(cn,[status(thm)],[3534,theory(equality)])).
% cnf(3536,plain,(aInteger0(smndt0(smndt0(sz10)))),inference(spm,[status(thm)],[285,3535,theory(equality)])).
% cnf(3652,plain,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[534,1961,theory(equality)])).
% cnf(3653,plain,(aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[3652,theory(equality)])).
% cnf(4199,negated_conjecture,(smndt0(sz10)=X1|sz10=X1|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[560,1961,theory(equality)])).
% cnf(4200,negated_conjecture,(smndt0(sz10)=X1|sz10=X1|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[4199,theory(equality)])).
% cnf(5873,plain,(sdtpldt0(sz10,sz00)=sdtpldt0(sz00,smndt0(smndt0(sz10)))|~aInteger0(smndt0(smndt0(sz10)))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[2946,83,theory(equality)])).
% cnf(5904,plain,(sz10=sdtpldt0(sz00,smndt0(smndt0(sz10)))|~aInteger0(smndt0(smndt0(sz10)))|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[5873,2971,theory(equality)])).
% cnf(5905,plain,(sz10=sdtpldt0(sz00,smndt0(smndt0(sz10)))|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[5904,3536,theory(equality)])).
% cnf(5906,plain,(sz10=sdtpldt0(sz00,smndt0(smndt0(sz10)))|$false|$false),inference(rw,[status(thm)],[5905,1961,theory(equality)])).
% cnf(5907,plain,(sz10=sdtpldt0(sz00,smndt0(smndt0(sz10)))),inference(cn,[status(thm)],[5906,theory(equality)])).
% cnf(5935,plain,(sz10=smndt0(smndt0(sz10))|~aInteger0(smndt0(smndt0(sz10)))),inference(spm,[status(thm)],[78,5907,theory(equality)])).
% cnf(5957,plain,(sz10=smndt0(smndt0(sz10))|$false),inference(rw,[status(thm)],[5935,3536,theory(equality)])).
% cnf(5958,plain,(sz10=smndt0(smndt0(sz10))),inference(cn,[status(thm)],[5957,theory(equality)])).
% cnf(5969,plain,(sdtpldt0(smndt0(sz10),sz10)=sz00|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[84,5958,theory(equality)])).
% cnf(6027,plain,(sdtpldt0(smndt0(sz10),sz10)=sz00|$false),inference(rw,[status(thm)],[5969,1961,theory(equality)])).
% cnf(6028,plain,(sdtpldt0(smndt0(sz10),sz10)=sz00),inference(cn,[status(thm)],[6027,theory(equality)])).
% cnf(6102,plain,(sdtpldt0(sz00,X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[71,6028,theory(equality)])).
% cnf(6126,plain,(sdtpldt0(sz00,X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))|~aInteger0(X1)|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[6102,59,theory(equality)])).
% cnf(6127,plain,(sdtpldt0(sz00,X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[6126,1961,theory(equality)])).
% cnf(6128,plain,(sdtpldt0(sz00,X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz10,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[6127,theory(equality)])).
% cnf(6253,plain,(aElementOf0(sdtpldt0(sz10,X1),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(sz00,X1))|~aInteger0(sdtpldt0(sz10,X1))|~aInteger0(X1)),inference(spm,[status(thm)],[3653,6128,theory(equality)])).
% cnf(6258,plain,(sdtpldt0(smndt0(sz10),sz00)=sdtpldt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[6128,84,theory(equality)])).
% cnf(6260,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(X1,sz10))=sdtpldt0(sz00,X1)|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[6128,74,theory(equality)])).
% cnf(6280,plain,(sdtpldt0(smndt0(sz10),sz00)=sdtpldt0(sz00,smndt0(sz10))|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[6258,1961,theory(equality)])).
% cnf(6281,plain,(sdtpldt0(smndt0(sz10),sz00)=sdtpldt0(sz00,smndt0(sz10))|$false|$false),inference(rw,[status(thm)],[6280,59,theory(equality)])).
% cnf(6282,plain,(sdtpldt0(smndt0(sz10),sz00)=sdtpldt0(sz00,smndt0(sz10))),inference(cn,[status(thm)],[6281,theory(equality)])).
% cnf(6288,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(X1,sz10))=sdtpldt0(sz00,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[6260,59,theory(equality)])).
% cnf(6289,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(X1,sz10))=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[6288,theory(equality)])).
% cnf(6302,plain,(sdtpldt0(sz00,smndt0(sz10))=smndt0(sz10)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[79,6282,theory(equality)])).
% cnf(6322,plain,(sdtpldt0(sz00,smndt0(sz10))=smndt0(sz10)|$false),inference(rw,[status(thm)],[6302,1961,theory(equality)])).
% cnf(6323,plain,(sdtpldt0(sz00,smndt0(sz10))=smndt0(sz10)),inference(cn,[status(thm)],[6322,theory(equality)])).
% cnf(6396,plain,(sdtpldt0(smndt0(sz10),sz00)=smndt0(sz10)),inference(rw,[status(thm)],[6282,6323,theory(equality)])).
% cnf(6438,plain,(sdtpldt0(smndt0(sz10),X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz00,X1))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[71,6396,theory(equality)])).
% cnf(6458,plain,(sdtpldt0(smndt0(sz10),X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz00,X1))|~aInteger0(X1)|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[6438,58,theory(equality)])).
% cnf(6459,plain,(sdtpldt0(smndt0(sz10),X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz00,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[6458,1961,theory(equality)])).
% cnf(6460,plain,(sdtpldt0(smndt0(sz10),X1)=sdtpldt0(smndt0(sz10),sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[6459,theory(equality)])).
% cnf(9578,plain,(sz00=X1|aDivisorOf0(X1,sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[834,68])).
% cnf(10633,plain,(aElementOf0(sdtpldt0(X1,X2),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))|~aInteger0(sdtpldt0(X1,X2))|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[880,1961,theory(equality)])).
% cnf(10634,plain,(aElementOf0(sdtpldt0(X1,X2),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[10633,theory(equality)])).
% cnf(10635,plain,(aElementOf0(sdtpldt0(X1,X2),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(X1,sdtpldt0(X2,smndt0(sz10))))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[10634,65])).
% cnf(10647,plain,(aElementOf0(sdtpldt0(smndt0(sz10),sz00),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10)))|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[10635,6460,theory(equality)])).
% cnf(10684,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10)))|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[10647,6396,theory(equality)])).
% cnf(10685,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10)))|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[10684,58,theory(equality)])).
% cnf(10686,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10)))|$false|$false),inference(rw,[status(thm)],[10685,1961,theory(equality)])).
% cnf(10687,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10)))),inference(cn,[status(thm)],[10686,theory(equality)])).
% cnf(10726,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[881,62])).
% cnf(10727,plain,(sdtpldt0(X1,sdtpldt0(X2,smndt0(sdtpldt0(X1,X2))))=sz00|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[10726,65])).
% cnf(11214,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[883,65])).
% cnf(11235,plain,(sdtpldt0(X1,sdtpldt0(sz10,smndt0(sz10)))=sdtpldt0(sz00,X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[6289,11214,theory(equality)])).
% cnf(11249,plain,(sdtpldt0(X1,sdtpldt0(sz00,sz10))=sdtpldt0(sz10,X1)|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(sz00)),inference(spm,[status(thm)],[3125,11214,theory(equality)])).
% cnf(11454,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(rw,[status(thm)],[11235,2405,theory(equality)])).
% cnf(11455,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aInteger0(X1)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[11454,1961,theory(equality)])).
% cnf(11456,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[11455,59,theory(equality)])).
% cnf(11457,plain,(sdtpldt0(X1,sz00)=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[11456,theory(equality)])).
% cnf(11492,plain,(sdtpldt0(X1,sz10)=sdtpldt0(sz10,X1)|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(sz00)),inference(rw,[status(thm)],[11249,2962,theory(equality)])).
% cnf(11493,plain,(sdtpldt0(X1,sz10)=sdtpldt0(sz10,X1)|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[11492,59,theory(equality)])).
% cnf(11494,plain,(sdtpldt0(X1,sz10)=sdtpldt0(sz10,X1)|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[11493,58,theory(equality)])).
% cnf(11495,plain,(sdtpldt0(X1,sz10)=sdtpldt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[11494,theory(equality)])).
% cnf(12434,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz00,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[887,62])).
% cnf(13756,plain,(sdtpldt0(sz00,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)|~aInteger0(sz10)),inference(spm,[status(thm)],[3100,11495,theory(equality)])).
% cnf(13759,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))=sdtpldt0(sz00,sz10)|~aInteger0(sz10)),inference(spm,[status(thm)],[6289,11495,theory(equality)])).
% cnf(13830,plain,(sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1))=sdtpldt0(sz00,sz10)|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[12434,11495,theory(equality)])).
% cnf(13848,plain,(sdtpldt0(sz00,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)|$false),inference(rw,[status(thm)],[13756,59,theory(equality)])).
% cnf(13849,plain,(sdtpldt0(sz00,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)),inference(cn,[status(thm)],[13848,theory(equality)])).
% cnf(13855,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))=sz10|~aInteger0(sz10)),inference(rw,[status(thm)],[13759,2962,theory(equality)])).
% cnf(13856,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))=sz10|$false),inference(rw,[status(thm)],[13855,59,theory(equality)])).
% cnf(13857,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,sz10))=sz10),inference(cn,[status(thm)],[13856,theory(equality)])).
% cnf(14047,plain,(sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1))=sz10|~aInteger0(sz10)|~aInteger0(X1)),inference(rw,[status(thm)],[13830,2962,theory(equality)])).
% cnf(14048,plain,(sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1))=sz10|$false|~aInteger0(X1)),inference(rw,[status(thm)],[14047,59,theory(equality)])).
% cnf(14049,plain,(sdtpldt0(smndt0(X1),sdtpldt0(sz10,X1))=sz10|~aInteger0(X1)),inference(cn,[status(thm)],[14048,theory(equality)])).
% cnf(14119,plain,(sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10)))=smndt0(sdtasdt0(X1,X2))|~aInteger0(sdtasdt0(X1,X2))|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[899,1961,theory(equality)])).
% cnf(14120,plain,(sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10)))=smndt0(sdtasdt0(X1,X2))|~aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[14119,theory(equality)])).
% cnf(14121,plain,(sdtasdt0(X1,sdtasdt0(X2,smndt0(sz10)))=smndt0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[14120,68])).
% cnf(14174,plain,(sdtasdt0(X1,smndt0(smndt0(sz10)))=smndt0(sdtasdt0(X1,smndt0(sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[14121,110,theory(equality)])).
% cnf(14266,plain,(sdtasdt0(X1,sz10)=smndt0(sdtasdt0(X1,smndt0(sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(X1)),inference(rw,[status(thm)],[14174,5958,theory(equality)])).
% cnf(14267,plain,(sdtasdt0(X1,sz10)=smndt0(sdtasdt0(X1,smndt0(sz10)))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[14266,1961,theory(equality)])).
% cnf(14268,plain,(sdtasdt0(X1,sz10)=smndt0(sdtasdt0(X1,smndt0(sz10)))|~aInteger0(X1)),inference(cn,[status(thm)],[14267,theory(equality)])).
% cnf(14810,plain,(sdtasdt0(X2,X3)=sz00|sz00=X1|sdtasdt0(X2,sdtasdt0(X3,X1))!=sz00|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[902,68])).
% cnf(14968,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[903,68])).
% cnf(16214,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[908,1961,theory(equality)])).
% cnf(16215,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[16214,theory(equality)])).
% cnf(16259,plain,(sdtasdt0(smndt0(sz10),smndt0(X1))=sdtasdt0(smndt0(smndt0(sz10)),X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[16215,110,theory(equality)])).
% cnf(16263,plain,(sdtasdt0(smndt0(sz10),sz00)=sdtasdt0(smndt0(sz00),xp)|~aInteger0(xp)|~aInteger0(sz00)),inference(spm,[status(thm)],[16215,2268,theory(equality)])).
% cnf(16372,plain,(sdtasdt0(smndt0(sz10),smndt0(X1))=sdtasdt0(sz10,X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[16259,5958,theory(equality)])).
% cnf(16373,plain,(sdtasdt0(smndt0(sz10),smndt0(X1))=sdtasdt0(sz10,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[16372,1961,theory(equality)])).
% cnf(16374,plain,(sdtasdt0(smndt0(sz10),smndt0(X1))=sdtasdt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[16373,theory(equality)])).
% cnf(16381,plain,(sdtasdt0(smndt0(sz10),sz00)=sz00|~aInteger0(xp)|~aInteger0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[16263,1987,theory(equality)]),2268,theory(equality)])).
% cnf(16382,plain,(sdtasdt0(smndt0(sz10),sz00)=sz00|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[16381,280,theory(equality)])).
% cnf(16383,plain,(sdtasdt0(smndt0(sz10),sz00)=sz00|$false|$false),inference(rw,[status(thm)],[16382,58,theory(equality)])).
% cnf(16384,plain,(sdtasdt0(smndt0(sz10),sz00)=sz00),inference(cn,[status(thm)],[16383,theory(equality)])).
% cnf(16476,plain,(sdtasdt0(smndt0(sz10),sz00)=sdtasdt0(smndt0(smndt0(sz10)),sz00)|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[16215,16384,theory(equality)])).
% cnf(16519,plain,(sz00=sdtasdt0(smndt0(smndt0(sz10)),sz00)|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[16476,16384,theory(equality)])).
% cnf(16520,plain,(sz00=sdtasdt0(sz10,sz00)|~aInteger0(sz00)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[16519,5958,theory(equality)])).
% cnf(16521,plain,(sz00=sdtasdt0(sz10,sz00)|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[16520,58,theory(equality)])).
% cnf(16522,plain,(sz00=sdtasdt0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[16521,1961,theory(equality)])).
% cnf(16523,plain,(sz00=sdtasdt0(sz10,sz00)),inference(cn,[status(thm)],[16522,theory(equality)])).
% cnf(16722,plain,(sdtasdt0(sz10,smndt0(X1))=smndt0(X1)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[921,110,theory(equality)])).
% cnf(16844,plain,(sdtasdt0(sz10,smndt0(X1))=smndt0(X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[16722,1961,theory(equality)])).
% cnf(16845,plain,(sdtasdt0(sz10,smndt0(X1))=smndt0(X1)|~aInteger0(X1)),inference(cn,[status(thm)],[16844,theory(equality)])).
% cnf(17120,plain,(sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[911,1961,theory(equality)])).
% cnf(17121,plain,(sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[17120,theory(equality)])).
% cnf(18935,plain,(sdtasdt0(sz10,sz10)=sz10|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[16845,5958,theory(equality)])).
% cnf(18991,plain,(sdtasdt0(sz10,sz10)=sz10|$false),inference(rw,[status(thm)],[18935,1961,theory(equality)])).
% cnf(18992,plain,(sdtasdt0(sz10,sz10)=sz10),inference(cn,[status(thm)],[18991,theory(equality)])).
% cnf(19009,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,sdtasdt0(sz10,X1))|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[14968,18992,theory(equality)])).
% cnf(19057,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,sdtasdt0(sz10,X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[19009,59,theory(equality)])).
% cnf(19058,plain,(sdtasdt0(X1,sz10)=sdtasdt0(sz10,sdtasdt0(sz10,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[19057,theory(equality)])).
% cnf(20433,plain,(smndt0(smndt0(smndt0(sz10)))=sdtasdt0(smndt0(sz10),sz10)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[14268,110,theory(equality)])).
% cnf(20441,plain,(smndt0(sdtasdt0(smndt0(sz10),X1))=sdtasdt0(X1,sz10)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[14268,90,theory(equality)])).
% cnf(20443,plain,(smndt0(smndt0(X1))=sdtasdt0(X1,sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[14268,109,theory(equality)])).
% cnf(20458,plain,(smndt0(sz10)=sdtasdt0(smndt0(sz10),sz10)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[20433,5958,theory(equality)])).
% cnf(20459,plain,(smndt0(sz10)=sdtasdt0(smndt0(sz10),sz10)|$false),inference(rw,[status(thm)],[20458,1961,theory(equality)])).
% cnf(20460,plain,(smndt0(sz10)=sdtasdt0(smndt0(sz10),sz10)),inference(cn,[status(thm)],[20459,theory(equality)])).
% cnf(20493,plain,(smndt0(sdtasdt0(smndt0(sz10),X1))=sdtasdt0(X1,sz10)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[20441,1961,theory(equality)])).
% cnf(20494,plain,(smndt0(sdtasdt0(smndt0(sz10),X1))=sdtasdt0(X1,sz10)|~aInteger0(X1)),inference(cn,[status(thm)],[20493,theory(equality)])).
% cnf(20498,plain,(sdtasdt0(sz10,smndt0(sz10))=smndt0(sz10)|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[90,20460,theory(equality)])).
% cnf(20526,plain,(sdtasdt0(X1,smndt0(sz10))=sdtasdt0(smndt0(X1),sz10)|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[17121,20460,theory(equality)])).
% cnf(20530,plain,(sdtasdt0(sz10,smndt0(sz10))=smndt0(sz10)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[20498,1961,theory(equality)])).
% cnf(20531,plain,(sdtasdt0(sz10,smndt0(sz10))=smndt0(sz10)|$false|$false),inference(rw,[status(thm)],[20530,59,theory(equality)])).
% cnf(20532,plain,(sdtasdt0(sz10,smndt0(sz10))=smndt0(sz10)),inference(cn,[status(thm)],[20531,theory(equality)])).
% cnf(20618,plain,(sdtasdt0(X1,smndt0(sz10))=sdtasdt0(smndt0(X1),sz10)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[20526,59,theory(equality)])).
% cnf(20619,plain,(sdtasdt0(X1,smndt0(sz10))=sdtasdt0(smndt0(X1),sz10)|~aInteger0(X1)),inference(cn,[status(thm)],[20618,theory(equality)])).
% cnf(20644,plain,(sdtasdt0(X1,smndt0(sz10))=smndt0(sdtasdt0(X1,sz10))|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[14121,20532,theory(equality)])).
% cnf(20723,plain,(sdtasdt0(X1,smndt0(sz10))=smndt0(sdtasdt0(X1,sz10))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[20644,59,theory(equality)])).
% cnf(20724,plain,(sdtasdt0(X1,smndt0(sz10))=smndt0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[20723,theory(equality)])).
% cnf(21726,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(X1,sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[9578,20724,theory(equality)])).
% cnf(21746,plain,(smndt0(smndt0(sdtasdt0(X1,sz10)))=sdtasdt0(X1,sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[14268,20724,theory(equality)])).
% cnf(21913,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(X1,sz10)))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[21726,1961,theory(equality)])).
% cnf(21914,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(X1,sz10)))|~aInteger0(X1)),inference(cn,[status(thm)],[21913,theory(equality)])).
% cnf(22397,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aInteger0(sdtasdt0(X1,X3))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(csr,[status(thm)],[979,68])).
% cnf(22398,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(csr,[status(thm)],[22397,68])).
% cnf(22424,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz10,sz10)))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[22398,13849,theory(equality)])).
% cnf(22434,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,sz00)))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(X2)),inference(spm,[status(thm)],[22398,11457,theory(equality)])).
% cnf(22444,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz00)),inference(spm,[status(thm)],[22398,11457,theory(equality)])).
% cnf(22490,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz10,sz10)))|~aInteger0(X1)|$false|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[22424,58,theory(equality)])).
% cnf(22491,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz10,sz10)))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[22490,3297,theory(equality)])).
% cnf(22492,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz10,sz10)))|~aInteger0(X1)),inference(cn,[status(thm)],[22491,theory(equality)])).
% cnf(22513,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,sz00)))|~aInteger0(X1)|$false|~aInteger0(X2)),inference(rw,[status(thm)],[22434,58,theory(equality)])).
% cnf(22514,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,sz00)))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[22513,theory(equality)])).
% cnf(22519,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,X2)))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[22444,58,theory(equality)])).
% cnf(22520,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,X2)))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[22519,theory(equality)])).
% cnf(23691,plain,(aInteger0(smndt0(sdtpldt0(sz10,sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[22492,110,theory(equality)])).
% cnf(23710,plain,(aInteger0(smndt0(sdtpldt0(sz10,sz10)))|$false|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[23691,1961,theory(equality)])).
% cnf(23711,plain,(aInteger0(smndt0(sdtpldt0(sz10,sz10)))|$false|$false),inference(rw,[status(thm)],[23710,3297,theory(equality)])).
% cnf(23712,plain,(aInteger0(smndt0(sdtpldt0(sz10,sz10)))),inference(cn,[status(thm)],[23711,theory(equality)])).
% cnf(24078,plain,(sdtasdt0(sz10,sdtpldt0(X1,sz10))=sdtpldt0(sdtasdt0(sz10,sz10),X1)|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[1001,11495,theory(equality)])).
% cnf(24080,plain,(sdtasdt0(sz10,sdtpldt0(sz10,sz10))=sdtpldt0(sdtasdt0(sz10,sz00),sdtpldt0(sz10,sz10))|~aInteger0(sz00)|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[1001,13849,theory(equality)])).
% cnf(24089,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sdtasdt0(sz10,sz00),X1)|~aInteger0(sz00)|~aInteger0(X1)),inference(spm,[status(thm)],[1001,78,theory(equality)])).
% cnf(24220,plain,(sdtasdt0(sz10,sdtpldt0(X1,sz10))=sdtpldt0(sz10,X1)|~aInteger0(sz10)|~aInteger0(X1)),inference(rw,[status(thm)],[24078,18992,theory(equality)])).
% cnf(24221,plain,(sdtasdt0(sz10,sdtpldt0(X1,sz10))=sdtpldt0(sz10,X1)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[24220,59,theory(equality)])).
% cnf(24222,plain,(sdtasdt0(sz10,sdtpldt0(X1,sz10))=sdtpldt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[24221,theory(equality)])).
% cnf(24226,plain,(sdtasdt0(sz10,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)|~aInteger0(sz00)|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[24080,16523,theory(equality)]),13849,theory(equality)])).
% cnf(24227,plain,(sdtasdt0(sz10,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)|$false|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[24226,58,theory(equality)])).
% cnf(24228,plain,(sdtasdt0(sz10,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)|$false|$false),inference(rw,[status(thm)],[24227,3297,theory(equality)])).
% cnf(24229,plain,(sdtasdt0(sz10,sdtpldt0(sz10,sz10))=sdtpldt0(sz10,sz10)),inference(cn,[status(thm)],[24228,theory(equality)])).
% cnf(24259,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|~aInteger0(sz00)|~aInteger0(X1)),inference(rw,[status(thm)],[24089,16523,theory(equality)])).
% cnf(24260,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[24259,58,theory(equality)])).
% cnf(24261,plain,(sdtasdt0(sz10,X1)=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[24260,theory(equality)])).
% cnf(24954,plain,(sdtpldt0(sdtasdt0(X1,X2),smndt0(X1))=sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[986,1961,theory(equality)])).
% cnf(24955,plain,(sdtpldt0(sdtasdt0(X1,X2),smndt0(X1))=sdtasdt0(X1,sdtpldt0(X2,smndt0(sz10)))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[24954,theory(equality)])).
% cnf(25087,plain,(sdtpldt0(sz00,smndt0(X1))=sdtasdt0(X1,sdtpldt0(sz00,smndt0(sz10)))|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[24955,105,theory(equality)])).
% cnf(25238,plain,(sdtpldt0(sz00,smndt0(X1))=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)|~aInteger0(sz00)),inference(rw,[status(thm)],[25087,6323,theory(equality)])).
% cnf(25239,plain,(sdtpldt0(sz00,smndt0(X1))=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[25238,58,theory(equality)])).
% cnf(25240,plain,(sdtpldt0(sz00,smndt0(X1))=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[25239,theory(equality)])).
% cnf(25307,plain,(aInteger0(sdtpldt0(sdtasdt0(X1,sz10),X1))|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[22492,1005,theory(equality)])).
% cnf(25396,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))|~aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[1005,20460,theory(equality)])).
% cnf(25414,plain,(sdtpldt0(sz00,X1)=sdtasdt0(X1,sdtpldt0(sz00,sz10))|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[1005,105,theory(equality)])).
% cnf(25484,plain,(aInteger0(sdtpldt0(sdtasdt0(X1,sz10),X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[25307,59,theory(equality)])).
% cnf(25485,plain,(aInteger0(sdtpldt0(sdtasdt0(X1,sz10),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[25484,theory(equality)])).
% cnf(25574,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[25396,1961,theory(equality)])).
% cnf(25575,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))|$false|$false),inference(rw,[status(thm)],[25574,59,theory(equality)])).
% cnf(25576,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))),inference(cn,[status(thm)],[25575,theory(equality)])).
% cnf(25600,plain,(sdtpldt0(sz00,X1)=sdtasdt0(X1,sz10)|~aInteger0(X1)|~aInteger0(sz00)),inference(rw,[status(thm)],[25414,2962,theory(equality)])).
% cnf(25601,plain,(sdtpldt0(sz00,X1)=sdtasdt0(X1,sz10)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[25600,58,theory(equality)])).
% cnf(25602,plain,(sdtpldt0(sz00,X1)=sdtasdt0(X1,sz10)|~aInteger0(X1)),inference(cn,[status(thm)],[25601,theory(equality)])).
% cnf(25614,plain,(aInteger0(sdtpldt0(sdtasdt0(sz10,X1),X1))|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[25485,90,theory(equality)])).
% cnf(25655,plain,(aInteger0(sdtpldt0(sdtasdt0(sz10,X1),X1))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[25614,59,theory(equality)])).
% cnf(25656,plain,(aInteger0(sdtpldt0(sdtasdt0(sz10,X1),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[25655,theory(equality)])).
% cnf(26760,plain,(aInteger0(sdtpldt0(sdtpldt0(sz00,X1),X1))|~aInteger0(X1)),inference(spm,[status(thm)],[25656,24261,theory(equality)])).
% cnf(27937,plain,(sz00=X1|aDivisorOf0(X1,sdtpldt0(sz00,X1))|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[9578,25602,theory(equality)])).
% cnf(28138,plain,(sz00=X1|aDivisorOf0(X1,sdtpldt0(sz00,X1))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[27937,59,theory(equality)])).
% cnf(28139,plain,(sz00=X1|aDivisorOf0(X1,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[28138,theory(equality)])).
% cnf(28301,plain,(sdtasdt0(sz10,X1)=sdtpldt0(X1,sdtasdt0(sz10,sz00))|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[1009,79,theory(equality)])).
% cnf(28478,plain,(sdtasdt0(sz10,X1)=sdtpldt0(X1,sz00)|~aInteger0(X1)|~aInteger0(sz00)),inference(rw,[status(thm)],[28301,16523,theory(equality)])).
% cnf(28479,plain,(sdtasdt0(sz10,X1)=sdtpldt0(X1,sz00)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[28478,58,theory(equality)])).
% cnf(28480,plain,(sdtasdt0(sz10,X1)=sdtpldt0(X1,sz00)|~aInteger0(X1)),inference(cn,[status(thm)],[28479,theory(equality)])).
% cnf(28782,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(smndt0(sz10),X2))|~aInteger0(X1)|$false|~aInteger0(X2)),inference(rw,[status(thm)],[995,1961,theory(equality)])).
% cnf(28783,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X1,X2))=sdtasdt0(X1,sdtpldt0(smndt0(sz10),X2))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[28782,theory(equality)])).
% cnf(28934,plain,(sdtpldt0(smndt0(X1),sz00)=sdtasdt0(X1,sdtpldt0(smndt0(sz10),sz00))|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[28783,105,theory(equality)])).
% cnf(29140,plain,(sdtpldt0(smndt0(X1),sz00)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)|~aInteger0(sz00)),inference(rw,[status(thm)],[28934,6396,theory(equality)])).
% cnf(29141,plain,(sdtpldt0(smndt0(X1),sz00)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[29140,58,theory(equality)])).
% cnf(29142,plain,(sdtpldt0(smndt0(X1),sz00)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[29141,theory(equality)])).
% cnf(36308,plain,(sdtasdt0(sdtpldt0(sz10,sz10),sz10)=sdtpldt0(sdtasdt0(sz00,sz10),sdtpldt0(sz10,sz10))|~aInteger0(sz00)|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[1044,13849,theory(equality)])).
% cnf(36505,plain,(sdtasdt0(sdtpldt0(sz10,sz10),sz10)=sdtpldt0(sz10,sz10)|~aInteger0(sz00)|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[36308,2671,theory(equality)]),13849,theory(equality)])).
% cnf(36506,plain,(sdtasdt0(sdtpldt0(sz10,sz10),sz10)=sdtpldt0(sz10,sz10)|$false|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[36505,58,theory(equality)])).
% cnf(36507,plain,(sdtasdt0(sdtpldt0(sz10,sz10),sz10)=sdtpldt0(sz10,sz10)|$false|$false),inference(rw,[status(thm)],[36506,3297,theory(equality)])).
% cnf(36508,plain,(sdtasdt0(sdtpldt0(sz10,sz10),sz10)=sdtpldt0(sz10,sz10)),inference(cn,[status(thm)],[36507,theory(equality)])).
% cnf(38998,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X2,X1))=sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[1031,1961,theory(equality)])).
% cnf(38999,plain,(sdtpldt0(smndt0(X1),sdtasdt0(X2,X1))=sdtasdt0(sdtpldt0(smndt0(sz10),X2),X1)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[38998,theory(equality)])).
% cnf(54731,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=smndt0(sdtpldt0(sz10,sz10))|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[110,25576,theory(equality)])).
% cnf(54959,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=smndt0(sdtpldt0(sz10,sz10))|$false),inference(rw,[status(thm)],[54731,3297,theory(equality)])).
% cnf(54960,plain,(sdtpldt0(smndt0(sz10),smndt0(sz10))=smndt0(sdtpldt0(sz10,sz10))),inference(cn,[status(thm)],[54959,theory(equality)])).
% cnf(55010,plain,(sdtpldt0(smndt0(smndt0(sz10)),smndt0(sdtpldt0(sz10,sz10)))=sdtpldt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[12434,54960,theory(equality)])).
% cnf(55077,plain,(sdtasdt0(smndt0(sz10),sdtpldt0(sz10,sz10))=smndt0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[25576,54960,theory(equality)])).
% cnf(55078,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,smndt0(sdtpldt0(sz10,sz10)))),inference(rw,[status(thm)],[10687,54960,theory(equality)])).
% cnf(55093,plain,(sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10)))=sdtpldt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[55010,5958,theory(equality)])).
% cnf(55094,plain,(sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10)))=smndt0(sz10)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[55093,6323,theory(equality)])).
% cnf(55095,plain,(sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10)))=smndt0(sz10)|$false),inference(rw,[status(thm)],[55094,1961,theory(equality)])).
% cnf(55096,plain,(sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10)))=smndt0(sz10)),inference(cn,[status(thm)],[55095,theory(equality)])).
% cnf(59432,plain,(sdtasdt0(sz10,X1)=smndt0(smndt0(X1))|~aInteger0(smndt0(X1))|~aInteger0(X1)),inference(spm,[status(thm)],[110,16374,theory(equality)])).
% cnf(59680,plain,(smndt0(smndt0(X1))=sdtasdt0(sz10,X1)|~aInteger0(X1)),inference(csr,[status(thm)],[59432,62])).
% cnf(63224,plain,(smndt0(smndt0(sdtpldt0(sz10,sz10)))=sdtasdt0(sdtpldt0(sz10,sz10),sz10)|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[20494,55077,theory(equality)])).
% cnf(63340,plain,(smndt0(smndt0(sdtpldt0(sz10,sz10)))=sdtpldt0(sz10,sz10)|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[63224,36508,theory(equality)])).
% cnf(63341,plain,(smndt0(smndt0(sdtpldt0(sz10,sz10)))=sdtpldt0(sz10,sz10)|$false),inference(rw,[status(thm)],[63340,3297,theory(equality)])).
% cnf(63342,plain,(smndt0(smndt0(sdtpldt0(sz10,sz10)))=sdtpldt0(sz10,sz10)),inference(cn,[status(thm)],[63341,theory(equality)])).
% cnf(63385,plain,(sdtpldt0(sdtpldt0(sz10,sz10),sdtpldt0(sz10,smndt0(sdtpldt0(sz10,sz10))))=sz10|~aInteger0(smndt0(sdtpldt0(sz10,sz10)))),inference(spm,[status(thm)],[14049,63342,theory(equality)])).
% cnf(63475,plain,(sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10))=sz10|~aInteger0(smndt0(sdtpldt0(sz10,sz10)))),inference(rw,[status(thm)],[63385,55096,theory(equality)])).
% cnf(63476,plain,(sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10))=sz10|$false),inference(rw,[status(thm)],[63475,23712,theory(equality)])).
% cnf(63477,plain,(sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10))=sz10),inference(cn,[status(thm)],[63476,theory(equality)])).
% cnf(63647,plain,(sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sz10)=sdtpldt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[12434,63477,theory(equality)])).
% cnf(63723,plain,(sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sz10)=smndt0(sz10)|~aInteger0(smndt0(sz10))|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[63647,6323,theory(equality)])).
% cnf(63724,plain,(sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sz10)=smndt0(sz10)|$false|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[63723,1961,theory(equality)])).
% cnf(63725,plain,(sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sz10)=smndt0(sz10)|$false|$false),inference(rw,[status(thm)],[63724,3297,theory(equality)])).
% cnf(63726,plain,(sdtpldt0(smndt0(sdtpldt0(sz10,sz10)),sz10)=smndt0(sz10)),inference(cn,[status(thm)],[63725,theory(equality)])).
% cnf(64539,plain,(smndt0(smndt0(sdtasdt0(sz10,X1)))=sdtasdt0(sz10,X1)|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[21746,90,theory(equality)])).
% cnf(64541,plain,(smndt0(smndt0(X1))=X1|~aInteger0(X1)),inference(spm,[status(thm)],[21746,95,theory(equality)])).
% cnf(64612,plain,(smndt0(smndt0(sdtasdt0(sz10,X1)))=sdtasdt0(sz10,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[64539,59,theory(equality)])).
% cnf(64613,plain,(smndt0(smndt0(sdtasdt0(sz10,X1)))=sdtasdt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[64612,theory(equality)])).
% cnf(66314,plain,(sdtpldt0(sdtasdt0(sz10,X1),sz10)=sdtpldt0(sz10,X1)|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[1005,24222,theory(equality)])).
% cnf(66498,plain,(sdtpldt0(sdtasdt0(sz10,X1),sz10)=sdtpldt0(sz10,X1)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[66314,59,theory(equality)])).
% cnf(66499,plain,(sdtpldt0(sdtasdt0(sz10,X1),sz10)=sdtpldt0(sz10,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[66498,theory(equality)])).
% cnf(87197,plain,(aInteger0(sdtpldt0(smndt0(X1),sdtasdt0(X1,sz00)))|~aInteger0(X1)|~aInteger0(smndt0(sz10))|~aInteger0(sz00)),inference(spm,[status(thm)],[22514,28783,theory(equality)])).
% cnf(87286,plain,(aInteger0(sdtpldt0(smndt0(X1),sdtasdt0(X1,sz00)))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[87197,1961,theory(equality)])).
% cnf(87287,plain,(aInteger0(sdtpldt0(smndt0(X1),sdtasdt0(X1,sz00)))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[87286,58,theory(equality)])).
% cnf(87288,plain,(aInteger0(sdtpldt0(smndt0(X1),sdtasdt0(X1,sz00)))|~aInteger0(X1)),inference(cn,[status(thm)],[87287,theory(equality)])).
% cnf(87637,plain,(aInteger0(sdtpldt0(sz00,sdtasdt0(X1,X2)))|~aInteger0(X1)|~aInteger0(X2)),inference(spm,[status(thm)],[22520,1015,theory(equality)])).
% cnf(91304,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(sz10,X1)))|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[21914,90,theory(equality)])).
% cnf(91365,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(sz10,X1)))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[91304,59,theory(equality)])).
% cnf(91366,plain,(sz00=X1|aDivisorOf0(X1,smndt0(sdtasdt0(sz10,X1)))|~aInteger0(X1)),inference(cn,[status(thm)],[91365,theory(equality)])).
% cnf(92047,plain,(sdtpldt0(sz00,smndt0(X1))=smndt0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[20724,25240,theory(equality)])).
% cnf(94171,plain,(sdtpldt0(smndt0(X1),sz00)=smndt0(X1)|~aInteger0(X1)),inference(spm,[status(thm)],[109,29142,theory(equality)])).
% cnf(99593,plain,(aInteger0(sdtpldt0(smndt0(xp),sz00))|~aInteger0(xp)),inference(spm,[status(thm)],[87288,2255,theory(equality)])).
% cnf(99650,plain,(aInteger0(sdtpldt0(smndt0(xp),sz00))|$false),inference(rw,[status(thm)],[99593,280,theory(equality)])).
% cnf(99651,plain,(aInteger0(sdtpldt0(smndt0(xp),sz00))),inference(cn,[status(thm)],[99650,theory(equality)])).
% cnf(99755,plain,(aInteger0(smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[99651,94171,theory(equality)])).
% cnf(99760,plain,(aInteger0(smndt0(xp))|$false),inference(rw,[status(thm)],[99755,280,theory(equality)])).
% cnf(99761,plain,(aInteger0(smndt0(xp))),inference(cn,[status(thm)],[99760,theory(equality)])).
% cnf(112232,plain,(sdtasdt0(xp,sz10)=sdtpldt0(sz00,sdtasdt0(xp,sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[2281,2962,theory(equality)])).
% cnf(112447,plain,(sdtasdt0(xp,sz10)=sdtpldt0(sz00,sdtasdt0(xp,sz10))|$false),inference(rw,[status(thm)],[112232,59,theory(equality)])).
% cnf(112448,plain,(sdtasdt0(xp,sz10)=sdtpldt0(sz00,sdtasdt0(xp,sz10))),inference(cn,[status(thm)],[112447,theory(equality)])).
% cnf(113388,plain,(sdtpldt0(sz00,xp)=xp|~aInteger0(xp)),inference(spm,[status(thm)],[112448,95,theory(equality)])).
% cnf(113552,plain,(sdtpldt0(sz00,xp)=xp|$false),inference(rw,[status(thm)],[113388,280,theory(equality)])).
% cnf(113553,plain,(sdtpldt0(sz00,xp)=xp),inference(cn,[status(thm)],[113552,theory(equality)])).
% cnf(113567,plain,(sdtasdt0(sz10,xp)=sdtpldt0(sdtasdt0(sz10,sz00),xp)|~aInteger0(sz00)|~aInteger0(xp)),inference(spm,[status(thm)],[1001,113553,theory(equality)])).
% cnf(113572,plain,(sdtasdt0(xp,sz10)=sdtpldt0(sdtasdt0(sz00,sz10),xp)|~aInteger0(sz00)|~aInteger0(xp)),inference(spm,[status(thm)],[1044,113553,theory(equality)])).
% cnf(113576,plain,(aInteger0(sdtpldt0(sz10,xp))|~aInteger0(sz00)|~aInteger0(xp)),inference(spm,[status(thm)],[3433,113553,theory(equality)])).
% cnf(113584,plain,(sdtasdt0(xp,xp)=sdtpldt0(sz00,sdtasdt0(xp,xp))|~aInteger0(xp)),inference(spm,[status(thm)],[2281,113553,theory(equality)])).
% cnf(113593,plain,(aInteger0(sdtpldt0(xp,xp))|~aInteger0(xp)),inference(spm,[status(thm)],[26760,113553,theory(equality)])).
% cnf(113594,plain,(sz00=xp|aDivisorOf0(xp,xp)|~aInteger0(xp)),inference(spm,[status(thm)],[28139,113553,theory(equality)])).
% cnf(113662,plain,(sdtasdt0(sz10,xp)=xp|~aInteger0(sz00)|~aInteger0(xp)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113567,16523,theory(equality)]),113553,theory(equality)])).
% cnf(113663,plain,(sdtasdt0(sz10,xp)=xp|$false|~aInteger0(xp)),inference(rw,[status(thm)],[113662,58,theory(equality)])).
% cnf(113664,plain,(sdtasdt0(sz10,xp)=xp|$false|$false),inference(rw,[status(thm)],[113663,280,theory(equality)])).
% cnf(113665,plain,(sdtasdt0(sz10,xp)=xp),inference(cn,[status(thm)],[113664,theory(equality)])).
% cnf(113682,plain,(sdtasdt0(xp,sz10)=xp|~aInteger0(sz00)|~aInteger0(xp)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[113572,2671,theory(equality)]),113553,theory(equality)])).
% cnf(113683,plain,(sdtasdt0(xp,sz10)=xp|$false|~aInteger0(xp)),inference(rw,[status(thm)],[113682,58,theory(equality)])).
% cnf(113684,plain,(sdtasdt0(xp,sz10)=xp|$false|$false),inference(rw,[status(thm)],[113683,280,theory(equality)])).
% cnf(113685,plain,(sdtasdt0(xp,sz10)=xp),inference(cn,[status(thm)],[113684,theory(equality)])).
% cnf(113700,plain,(aInteger0(sdtpldt0(sz10,xp))|$false|~aInteger0(xp)),inference(rw,[status(thm)],[113576,58,theory(equality)])).
% cnf(113701,plain,(aInteger0(sdtpldt0(sz10,xp))|$false|$false),inference(rw,[status(thm)],[113700,280,theory(equality)])).
% cnf(113702,plain,(aInteger0(sdtpldt0(sz10,xp))),inference(cn,[status(thm)],[113701,theory(equality)])).
% cnf(113724,plain,(sdtasdt0(xp,xp)=sdtpldt0(sz00,sdtasdt0(xp,xp))|$false),inference(rw,[status(thm)],[113584,280,theory(equality)])).
% cnf(113725,plain,(sdtasdt0(xp,xp)=sdtpldt0(sz00,sdtasdt0(xp,xp))),inference(cn,[status(thm)],[113724,theory(equality)])).
% cnf(113748,plain,(aInteger0(sdtpldt0(xp,xp))|$false),inference(rw,[status(thm)],[113593,280,theory(equality)])).
% cnf(113749,plain,(aInteger0(sdtpldt0(xp,xp))),inference(cn,[status(thm)],[113748,theory(equality)])).
% cnf(113750,plain,(sz00=xp|aDivisorOf0(xp,xp)|$false),inference(rw,[status(thm)],[113594,280,theory(equality)])).
% cnf(113751,plain,(sz00=xp|aDivisorOf0(xp,xp)),inference(cn,[status(thm)],[113750,theory(equality)])).
% cnf(113752,plain,(aDivisorOf0(xp,xp)),inference(sr,[status(thm)],[113751,279,theory(equality)])).
% cnf(113900,plain,(xp=sdtpldt0(xp,sz00)|~aInteger0(xp)),inference(spm,[status(thm)],[28480,113665,theory(equality)])).
% cnf(113912,plain,(smndt0(smndt0(xp))=xp|~aInteger0(xp)),inference(spm,[status(thm)],[64613,113665,theory(equality)])).
% cnf(113913,plain,(sdtpldt0(xp,sz10)=sdtpldt0(sz10,xp)|~aInteger0(xp)),inference(spm,[status(thm)],[66499,113665,theory(equality)])).
% cnf(113920,plain,(sz00=xp|aDivisorOf0(xp,smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[91366,113665,theory(equality)])).
% cnf(114168,plain,(xp=sdtpldt0(xp,sz00)|$false),inference(rw,[status(thm)],[113900,280,theory(equality)])).
% cnf(114169,plain,(xp=sdtpldt0(xp,sz00)),inference(cn,[status(thm)],[114168,theory(equality)])).
% cnf(114198,plain,(smndt0(smndt0(xp))=xp|$false),inference(rw,[status(thm)],[113912,280,theory(equality)])).
% cnf(114199,plain,(smndt0(smndt0(xp))=xp),inference(cn,[status(thm)],[114198,theory(equality)])).
% cnf(114200,plain,(sdtpldt0(xp,sz10)=sdtpldt0(sz10,xp)|$false),inference(rw,[status(thm)],[113913,280,theory(equality)])).
% cnf(114201,plain,(sdtpldt0(xp,sz10)=sdtpldt0(sz10,xp)),inference(cn,[status(thm)],[114200,theory(equality)])).
% cnf(114217,plain,(sz00=xp|aDivisorOf0(xp,smndt0(xp))|$false),inference(rw,[status(thm)],[113920,280,theory(equality)])).
% cnf(114218,plain,(sz00=xp|aDivisorOf0(xp,smndt0(xp))),inference(cn,[status(thm)],[114217,theory(equality)])).
% cnf(114219,plain,(aDivisorOf0(xp,smndt0(xp))),inference(sr,[status(thm)],[114218,279,theory(equality)])).
% cnf(114476,plain,(smndt0(xp)=sdtpldt0(sz00,smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[92047,113685,theory(equality)])).
% cnf(114779,plain,(smndt0(xp)=sdtpldt0(sz00,smndt0(xp))|$false),inference(rw,[status(thm)],[114476,280,theory(equality)])).
% cnf(114780,plain,(smndt0(xp)=sdtpldt0(sz00,smndt0(xp))),inference(cn,[status(thm)],[114779,theory(equality)])).
% cnf(114829,plain,(smndt0(xp)=sdtasdt0(smndt0(xp),sz10)|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[20443,114199,theory(equality)])).
% cnf(114830,plain,(sdtasdt0(xp,sz10)=sdtasdt0(smndt0(xp),smndt0(sz10))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[20619,114199,theory(equality)])).
% cnf(114853,plain,(smndt0(xp)=sdtasdt0(sz10,smndt0(xp))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[59680,114199,theory(equality)])).
% cnf(114964,plain,(smndt0(xp)=sdtasdt0(smndt0(xp),sz10)|$false),inference(rw,[status(thm)],[114829,99761,theory(equality)])).
% cnf(114965,plain,(smndt0(xp)=sdtasdt0(smndt0(xp),sz10)),inference(cn,[status(thm)],[114964,theory(equality)])).
% cnf(114966,plain,(xp=sdtasdt0(smndt0(xp),smndt0(sz10))|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[114830,113685,theory(equality)])).
% cnf(114967,plain,(xp=sdtasdt0(smndt0(xp),smndt0(sz10))|$false),inference(rw,[status(thm)],[114966,99761,theory(equality)])).
% cnf(114968,plain,(xp=sdtasdt0(smndt0(xp),smndt0(sz10))),inference(cn,[status(thm)],[114967,theory(equality)])).
% cnf(115023,plain,(smndt0(xp)=sdtasdt0(sz10,smndt0(xp))|$false),inference(rw,[status(thm)],[114853,99761,theory(equality)])).
% cnf(115024,plain,(smndt0(xp)=sdtasdt0(sz10,smndt0(xp))),inference(cn,[status(thm)],[115023,theory(equality)])).
% cnf(116578,plain,(sdtasdt0(xp,xp)=sdtpldt0(sdtasdt0(xp,xp),sz00)|~aInteger0(xp)),inference(spm,[status(thm)],[2294,114169,theory(equality)])).
% cnf(116767,plain,(sdtasdt0(xp,xp)=sdtpldt0(sdtasdt0(xp,xp),sz00)|$false),inference(rw,[status(thm)],[116578,280,theory(equality)])).
% cnf(116768,plain,(sdtasdt0(xp,xp)=sdtpldt0(sdtasdt0(xp,xp),sz00)),inference(cn,[status(thm)],[116767,theory(equality)])).
% cnf(117055,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp))=sdtpldt0(sz00,xp)|~aInteger0(xp)),inference(spm,[status(thm)],[6289,114201,theory(equality)])).
% cnf(117179,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp))=xp|~aInteger0(xp)),inference(rw,[status(thm)],[117055,113553,theory(equality)])).
% cnf(117180,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp))=xp|$false),inference(rw,[status(thm)],[117179,280,theory(equality)])).
% cnf(117181,plain,(sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp))=xp),inference(cn,[status(thm)],[117180,theory(equality)])).
% cnf(118291,plain,(smndt0(xp)=sdtasdt0(xp,smndt0(sz10))|~aInteger0(xp)),inference(spm,[status(thm)],[20619,114965,theory(equality)])).
% cnf(118598,plain,(smndt0(xp)=sdtasdt0(xp,smndt0(sz10))|$false),inference(rw,[status(thm)],[118291,280,theory(equality)])).
% cnf(118599,plain,(smndt0(xp)=sdtasdt0(xp,smndt0(sz10))),inference(cn,[status(thm)],[118598,theory(equality)])).
% cnf(120465,plain,(sdtasdt0(X1,smndt0(xp))=smndt0(sdtasdt0(X1,xp))|~aInteger0(xp)|~aInteger0(X1)),inference(spm,[status(thm)],[14121,118599,theory(equality)])).
% cnf(120719,plain,(sdtasdt0(X1,smndt0(xp))=smndt0(sdtasdt0(X1,xp))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[120465,280,theory(equality)])).
% cnf(120720,plain,(sdtasdt0(X1,smndt0(xp))=smndt0(sdtasdt0(X1,xp))|~aInteger0(X1)),inference(cn,[status(thm)],[120719,theory(equality)])).
% cnf(123155,plain,(sdtasdt0(smndt0(sz10),xp)=sdtasdt0(smndt0(smndt0(xp)),smndt0(sz10))|~aInteger0(smndt0(sz10))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[16215,114968,theory(equality)])).
% cnf(123268,plain,(sdtasdt0(smndt0(sz10),xp)=smndt0(xp)|~aInteger0(smndt0(sz10))|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[123155,114199,theory(equality)]),118599,theory(equality)])).
% cnf(123269,plain,(sdtasdt0(smndt0(sz10),xp)=smndt0(xp)|$false|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[123268,1961,theory(equality)])).
% cnf(123270,plain,(sdtasdt0(smndt0(sz10),xp)=smndt0(xp)|$false|$false),inference(rw,[status(thm)],[123269,99761,theory(equality)])).
% cnf(123271,plain,(sdtasdt0(smndt0(sz10),xp)=smndt0(xp)),inference(cn,[status(thm)],[123270,theory(equality)])).
% cnf(123687,plain,(sdtasdt0(X1,smndt0(xp))=sdtasdt0(smndt0(X1),xp)|~aInteger0(xp)|~aInteger0(X1)),inference(spm,[status(thm)],[17121,123271,theory(equality)])).
% cnf(123962,plain,(sdtasdt0(X1,smndt0(xp))=sdtasdt0(smndt0(X1),xp)|$false|~aInteger0(X1)),inference(rw,[status(thm)],[123687,280,theory(equality)])).
% cnf(123963,plain,(sdtasdt0(X1,smndt0(xp))=sdtasdt0(smndt0(X1),xp)|~aInteger0(X1)),inference(cn,[status(thm)],[123962,theory(equality)])).
% cnf(133944,plain,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=xp|~aInteger0(smndt0(sz10))|~aInteger0(xp)|~aInteger0(sz10)),inference(spm,[status(thm)],[11214,117181,theory(equality)])).
% cnf(133953,negated_conjecture,(smndt0(sz10)=sdtpldt0(sz10,xp)|sz10=sdtpldt0(sz10,xp)|~aDivisorOf0(xp,xp)|~aInteger0(sdtpldt0(sz10,xp))),inference(spm,[status(thm)],[4200,117181,theory(equality)])).
% cnf(134078,plain,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=xp|$false|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[133944,1961,theory(equality)])).
% cnf(134079,plain,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=xp|$false|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[134078,280,theory(equality)])).
% cnf(134080,plain,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=xp|$false|$false|$false),inference(rw,[status(thm)],[134079,59,theory(equality)])).
% cnf(134081,plain,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=xp),inference(cn,[status(thm)],[134080,theory(equality)])).
% cnf(134110,negated_conjecture,(smndt0(sz10)=sdtpldt0(sz10,xp)|sz10=sdtpldt0(sz10,xp)|$false|~aInteger0(sdtpldt0(sz10,xp))),inference(rw,[status(thm)],[133953,113752,theory(equality)])).
% cnf(134111,negated_conjecture,(smndt0(sz10)=sdtpldt0(sz10,xp)|sz10=sdtpldt0(sz10,xp)|$false|$false),inference(rw,[status(thm)],[134110,113702,theory(equality)])).
% cnf(134112,negated_conjecture,(smndt0(sz10)=sdtpldt0(sz10,xp)|sz10=sdtpldt0(sz10,xp)),inference(cn,[status(thm)],[134111,theory(equality)])).
% cnf(135465,negated_conjecture,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtpldt0(sz00,xp)|sdtpldt0(sz10,xp)=sz10|~aInteger0(xp)|~aInteger0(sz10)),inference(spm,[status(thm)],[12434,134112,theory(equality)])).
% cnf(135575,negated_conjecture,(smndt0(sdtpldt0(sz10,sz10))=sdtpldt0(sz00,xp)|sdtpldt0(sz10,xp)=sz10|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[135465,54960,theory(equality)])).
% cnf(135576,negated_conjecture,(smndt0(sdtpldt0(sz10,sz10))=xp|sdtpldt0(sz10,xp)=sz10|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[135575,113553,theory(equality)])).
% cnf(135577,negated_conjecture,(smndt0(sdtpldt0(sz10,sz10))=xp|sdtpldt0(sz10,xp)=sz10|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[135576,280,theory(equality)])).
% cnf(135578,negated_conjecture,(smndt0(sdtpldt0(sz10,sz10))=xp|sdtpldt0(sz10,xp)=sz10|$false|$false),inference(rw,[status(thm)],[135577,59,theory(equality)])).
% cnf(135579,negated_conjecture,(smndt0(sdtpldt0(sz10,sz10))=xp|sdtpldt0(sz10,xp)=sz10),inference(cn,[status(thm)],[135578,theory(equality)])).
% cnf(159008,negated_conjecture,(sdtasdt0(smndt0(sz10),xp)=sdtasdt0(sz10,sdtpldt0(sz10,sz10))|sdtpldt0(sz10,xp)=sz10|~aInteger0(sdtpldt0(sz10,sz10))),inference(spm,[status(thm)],[16374,135579,theory(equality)])).
% cnf(159179,negated_conjecture,(smndt0(xp)=sdtasdt0(sz10,sdtpldt0(sz10,sz10))|sdtpldt0(sz10,xp)=sz10|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[159008,123271,theory(equality)])).
% cnf(159180,negated_conjecture,(smndt0(xp)=sdtpldt0(sz10,sz10)|sdtpldt0(sz10,xp)=sz10|~aInteger0(sdtpldt0(sz10,sz10))),inference(rw,[status(thm)],[159179,24229,theory(equality)])).
% cnf(159181,negated_conjecture,(smndt0(xp)=sdtpldt0(sz10,sz10)|sdtpldt0(sz10,xp)=sz10|$false),inference(rw,[status(thm)],[159180,3297,theory(equality)])).
% cnf(159182,negated_conjecture,(smndt0(xp)=sdtpldt0(sz10,sz10)|sdtpldt0(sz10,xp)=sz10),inference(cn,[status(thm)],[159181,theory(equality)])).
% cnf(159393,negated_conjecture,(sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))=sz00|sdtpldt0(sz10,sz10)=smndt0(xp)|~aInteger0(xp)|~aInteger0(sz10)),inference(spm,[status(thm)],[10727,159182,theory(equality)])).
% cnf(159537,negated_conjecture,(xp=sz00|sdtpldt0(sz10,sz10)=smndt0(xp)|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[159393,134081,theory(equality)])).
% cnf(159538,negated_conjecture,(xp=sz00|sdtpldt0(sz10,sz10)=smndt0(xp)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[159537,280,theory(equality)])).
% cnf(159539,negated_conjecture,(xp=sz00|sdtpldt0(sz10,sz10)=smndt0(xp)|$false|$false),inference(rw,[status(thm)],[159538,59,theory(equality)])).
% cnf(159540,negated_conjecture,(xp=sz00|sdtpldt0(sz10,sz10)=smndt0(xp)),inference(cn,[status(thm)],[159539,theory(equality)])).
% cnf(159541,negated_conjecture,(sdtpldt0(sz10,sz10)=smndt0(xp)),inference(sr,[status(thm)],[159540,279,theory(equality)])).
% cnf(159961,plain,(sdtpldt0(sz10,xp)=smndt0(sz10)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[63726,159541,theory(equality)]),114199,theory(equality)]),114201,theory(equality)])).
% cnf(160052,plain,(sdtpldt0(smndt0(sz10),smndt0(xp))=sz10),inference(rw,[status(thm)],[13857,159541,theory(equality)])).
% cnf(160056,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[55078,159541,theory(equality)]),114199,theory(equality)]),113752,theory(equality)])).
% cnf(160057,plain,(aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(cn,[status(thm)],[160056,theory(equality)])).
% cnf(160341,plain,(sdtasdt0(xp,esk15_1(smndt0(sz10)))=sdtpldt0(smndt0(sz10),smndt0(sz10))),inference(spm,[status(thm)],[283,160057,theory(equality)])).
% cnf(160364,plain,(sdtasdt0(xp,esk15_1(smndt0(sz10)))=xp),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[160341,54960,theory(equality)]),159541,theory(equality)]),114199,theory(equality)])).
% cnf(170808,plain,(aInteger0(sdtasdt0(xp,xp))|~aInteger0(xp)),inference(spm,[status(thm)],[87637,113725,theory(equality)])).
% cnf(170888,plain,(aInteger0(sdtasdt0(xp,xp))|$false),inference(rw,[status(thm)],[170808,280,theory(equality)])).
% cnf(170889,plain,(aInteger0(sdtasdt0(xp,xp))),inference(cn,[status(thm)],[170888,theory(equality)])).
% cnf(171364,plain,(sdtasdt0(sz10,sdtasdt0(xp,xp))=sdtpldt0(sdtasdt0(xp,xp),sdtasdt0(sz10,sz00))|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(sz00)),inference(spm,[status(thm)],[1009,116768,theory(equality)])).
% cnf(171381,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(xp,xp)))|~aInteger0(X1)|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(sz00)),inference(spm,[status(thm)],[22398,116768,theory(equality)])).
% cnf(171480,plain,(sdtasdt0(sz10,sdtasdt0(xp,xp))=sdtasdt0(xp,xp)|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[171364,16523,theory(equality)]),116768,theory(equality)])).
% cnf(171481,plain,(sdtasdt0(sz10,sdtasdt0(xp,xp))=sdtasdt0(xp,xp)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[171480,170889,theory(equality)])).
% cnf(171482,plain,(sdtasdt0(sz10,sdtasdt0(xp,xp))=sdtasdt0(xp,xp)|$false|$false),inference(rw,[status(thm)],[171481,58,theory(equality)])).
% cnf(171483,plain,(sdtasdt0(sz10,sdtasdt0(xp,xp))=sdtasdt0(xp,xp)),inference(cn,[status(thm)],[171482,theory(equality)])).
% cnf(171540,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(xp,xp)))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[171381,170889,theory(equality)])).
% cnf(171541,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(xp,xp)))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[171540,58,theory(equality)])).
% cnf(171542,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(xp,xp)))|~aInteger0(X1)),inference(cn,[status(thm)],[171541,theory(equality)])).
% cnf(172631,plain,(aInteger0(sdtasdt0(smndt0(xp),xp))|~aInteger0(smndt0(sz10))|~aInteger0(xp)),inference(spm,[status(thm)],[171542,16215,theory(equality)])).
% cnf(172675,plain,(aInteger0(sdtasdt0(smndt0(xp),xp))|$false|~aInteger0(xp)),inference(rw,[status(thm)],[172631,1961,theory(equality)])).
% cnf(172676,plain,(aInteger0(sdtasdt0(smndt0(xp),xp))|$false|$false),inference(rw,[status(thm)],[172675,280,theory(equality)])).
% cnf(172677,plain,(aInteger0(sdtasdt0(smndt0(xp),xp))),inference(cn,[status(thm)],[172676,theory(equality)])).
% cnf(172856,plain,(sdtasdt0(sz10,xp)=sz00|sz00=xp|sdtasdt0(xp,xp)!=sz00|~aInteger0(xp)|~aInteger0(sz10)),inference(spm,[status(thm)],[14810,171483,theory(equality)])).
% cnf(172890,plain,(smndt0(smndt0(sdtasdt0(xp,xp)))=sdtasdt0(xp,xp)|~aInteger0(sdtasdt0(xp,xp))),inference(spm,[status(thm)],[64613,171483,theory(equality)])).
% cnf(173118,plain,(xp=sz00|sz00=xp|sdtasdt0(xp,xp)!=sz00|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[172856,113665,theory(equality)])).
% cnf(173119,plain,(xp=sz00|sz00=xp|sdtasdt0(xp,xp)!=sz00|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[173118,280,theory(equality)])).
% cnf(173120,plain,(xp=sz00|sz00=xp|sdtasdt0(xp,xp)!=sz00|$false|$false),inference(rw,[status(thm)],[173119,59,theory(equality)])).
% cnf(173121,plain,(xp=sz00|sdtasdt0(xp,xp)!=sz00),inference(cn,[status(thm)],[173120,theory(equality)])).
% cnf(173122,plain,(sdtasdt0(xp,xp)!=sz00),inference(sr,[status(thm)],[173121,279,theory(equality)])).
% cnf(173239,plain,(smndt0(smndt0(sdtasdt0(xp,xp)))=sdtasdt0(xp,xp)|$false),inference(rw,[status(thm)],[172890,170889,theory(equality)])).
% cnf(173240,plain,(smndt0(smndt0(sdtasdt0(xp,xp)))=sdtasdt0(xp,xp)),inference(cn,[status(thm)],[173239,theory(equality)])).
% cnf(199204,plain,(sdtasdt0(xp,xp)=sdtasdt0(smndt0(xp),smndt0(xp))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[123963,114199,theory(equality)])).
% cnf(199467,plain,(sdtasdt0(xp,xp)=sdtasdt0(smndt0(xp),smndt0(xp))|$false),inference(rw,[status(thm)],[199204,99761,theory(equality)])).
% cnf(199468,plain,(sdtasdt0(xp,xp)=sdtasdt0(smndt0(xp),smndt0(xp))),inference(cn,[status(thm)],[199467,theory(equality)])).
% cnf(199746,plain,(sdtpldt0(smndt0(smndt0(xp)),sdtasdt0(xp,xp))=sdtasdt0(sdtpldt0(smndt0(sz10),smndt0(xp)),smndt0(xp))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[38999,199468,theory(equality)])).
% cnf(199822,plain,(sdtasdt0(xp,xp)=smndt0(sdtasdt0(smndt0(xp),xp))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[120720,199468,theory(equality)])).
% cnf(199838,plain,(sdtpldt0(xp,sdtasdt0(xp,xp))=sdtasdt0(sdtpldt0(smndt0(sz10),smndt0(xp)),smndt0(xp))|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[199746,114199,theory(equality)])).
% cnf(199839,plain,(sdtpldt0(xp,sdtasdt0(xp,xp))=smndt0(xp)|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[199838,160052,theory(equality)]),115024,theory(equality)])).
% cnf(199840,plain,(sdtpldt0(xp,sdtasdt0(xp,xp))=smndt0(xp)|$false),inference(rw,[status(thm)],[199839,99761,theory(equality)])).
% cnf(199841,plain,(sdtpldt0(xp,sdtasdt0(xp,xp))=smndt0(xp)),inference(cn,[status(thm)],[199840,theory(equality)])).
% cnf(200021,plain,(sdtasdt0(xp,xp)=smndt0(sdtasdt0(smndt0(xp),xp))|$false),inference(rw,[status(thm)],[199822,99761,theory(equality)])).
% cnf(200022,plain,(sdtasdt0(xp,xp)=smndt0(sdtasdt0(smndt0(xp),xp))),inference(cn,[status(thm)],[200021,theory(equality)])).
% cnf(200047,plain,(sdtpldt0(smndt0(xp),smndt0(xp))=sdtpldt0(sz00,sdtasdt0(xp,xp))|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(xp)),inference(spm,[status(thm)],[12434,199841,theory(equality)])).
% cnf(200104,plain,(sdtpldt0(smndt0(xp),smndt0(xp))=sdtasdt0(xp,xp)|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(xp)),inference(rw,[status(thm)],[200047,113725,theory(equality)])).
% cnf(200105,plain,(sdtpldt0(smndt0(xp),smndt0(xp))=sdtasdt0(xp,xp)|$false|~aInteger0(xp)),inference(rw,[status(thm)],[200104,170889,theory(equality)])).
% cnf(200106,plain,(sdtpldt0(smndt0(xp),smndt0(xp))=sdtasdt0(xp,xp)|$false|$false),inference(rw,[status(thm)],[200105,280,theory(equality)])).
% cnf(200107,plain,(sdtpldt0(smndt0(xp),smndt0(xp))=sdtasdt0(xp,xp)),inference(cn,[status(thm)],[200106,theory(equality)])).
% cnf(200549,plain,(smndt0(sdtasdt0(xp,xp))=sdtasdt0(smndt0(xp),xp)|~aInteger0(sdtasdt0(smndt0(xp),xp))),inference(spm,[status(thm)],[64541,200022,theory(equality)])).
% cnf(200731,plain,(smndt0(sdtasdt0(xp,xp))=sdtasdt0(smndt0(xp),xp)|$false),inference(rw,[status(thm)],[200549,172677,theory(equality)])).
% cnf(200732,plain,(smndt0(sdtasdt0(xp,xp))=sdtasdt0(smndt0(xp),xp)),inference(cn,[status(thm)],[200731,theory(equality)])).
% cnf(201412,plain,(sdtasdt0(xp,smndt0(xp))=smndt0(sdtasdt0(xp,xp))|~aInteger0(smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[90,200732,theory(equality)])).
% cnf(201528,plain,(sdtasdt0(xp,smndt0(xp))=smndt0(sdtasdt0(xp,xp))|$false|~aInteger0(xp)),inference(rw,[status(thm)],[201412,99761,theory(equality)])).
% cnf(201529,plain,(sdtasdt0(xp,smndt0(xp))=smndt0(sdtasdt0(xp,xp))|$false|$false),inference(rw,[status(thm)],[201528,280,theory(equality)])).
% cnf(201530,plain,(sdtasdt0(xp,smndt0(xp))=smndt0(sdtasdt0(xp,xp))),inference(cn,[status(thm)],[201529,theory(equality)])).
% cnf(202348,plain,(sdtasdt0(xp,xp)=sz00|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))|~aInteger0(sdtasdt0(xp,xp))|~aInteger0(smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[3459,200107,theory(equality)])).
% cnf(202496,plain,(sdtasdt0(xp,xp)=sz00|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))|$false|~aInteger0(smndt0(xp))|~aInteger0(xp)),inference(rw,[status(thm)],[202348,170889,theory(equality)])).
% cnf(202497,plain,(sdtasdt0(xp,xp)=sz00|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))|$false|$false|~aInteger0(xp)),inference(rw,[status(thm)],[202496,99761,theory(equality)])).
% cnf(202498,plain,(sdtasdt0(xp,xp)=sz00|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))|$false|$false|$false),inference(rw,[status(thm)],[202497,280,theory(equality)])).
% cnf(202499,plain,(sdtasdt0(xp,xp)=sz00|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))),inference(cn,[status(thm)],[202498,theory(equality)])).
% cnf(202500,plain,(sdteqdtlpzmzozddtrp0(smndt0(xp),xp,sdtasdt0(xp,xp))),inference(sr,[status(thm)],[202499,173122,theory(equality)])).
% cnf(202538,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,xp)|~aInteger0(smndt0(xp))|~aInteger0(xp)),inference(spm,[status(thm)],[142,202500,theory(equality)])).
% cnf(202567,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,xp)|$false|~aInteger0(xp)),inference(rw,[status(thm)],[202538,99761,theory(equality)])).
% cnf(202568,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,xp)|$false|$false),inference(rw,[status(thm)],[202567,280,theory(equality)])).
% cnf(202569,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(smndt0(xp),xp,xp)),inference(cn,[status(thm)],[202568,theory(equality)])).
% cnf(202570,plain,(sdteqdtlpzmzozddtrp0(smndt0(xp),xp,xp)),inference(sr,[status(thm)],[202569,279,theory(equality)])).
% cnf(202581,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(xp,smndt0(xp),xp)|~aInteger0(xp)|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[134,202570,theory(equality)])).
% cnf(202587,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(xp,smndt0(xp),xp)|$false|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[202581,280,theory(equality)])).
% cnf(202588,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(xp,smndt0(xp),xp)|$false|$false),inference(rw,[status(thm)],[202587,99761,theory(equality)])).
% cnf(202589,plain,(sz00=xp|sdteqdtlpzmzozddtrp0(xp,smndt0(xp),xp)),inference(cn,[status(thm)],[202588,theory(equality)])).
% cnf(202590,plain,(sdteqdtlpzmzozddtrp0(xp,smndt0(xp),xp)),inference(sr,[status(thm)],[202589,279,theory(equality)])).
% cnf(202612,plain,(sz00=xp|aDivisorOf0(xp,sdtpldt0(xp,smndt0(smndt0(xp))))|~aInteger0(xp)|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[128,202590,theory(equality)])).
% cnf(202623,plain,(sz00=xp|aDivisorOf0(xp,sdtpldt0(xp,xp))|~aInteger0(xp)|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[202612,114199,theory(equality)])).
% cnf(202624,plain,(sz00=xp|aDivisorOf0(xp,sdtpldt0(xp,xp))|$false|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[202623,280,theory(equality)])).
% cnf(202625,plain,(sz00=xp|aDivisorOf0(xp,sdtpldt0(xp,xp))|$false|$false),inference(rw,[status(thm)],[202624,99761,theory(equality)])).
% cnf(202626,plain,(sz00=xp|aDivisorOf0(xp,sdtpldt0(xp,xp))),inference(cn,[status(thm)],[202625,theory(equality)])).
% cnf(202627,plain,(aDivisorOf0(xp,sdtpldt0(xp,xp))),inference(sr,[status(thm)],[202626,279,theory(equality)])).
% cnf(202636,plain,(aInteger0(esk1_2(sdtpldt0(xp,xp),xp))|~aInteger0(sdtpldt0(xp,xp))),inference(spm,[status(thm)],[120,202627,theory(equality)])).
% cnf(202639,plain,(sdtasdt0(xp,esk1_2(sdtpldt0(xp,xp),xp))=sdtpldt0(xp,xp)|~aInteger0(sdtpldt0(xp,xp))),inference(spm,[status(thm)],[119,202627,theory(equality)])).
% cnf(202643,plain,(aInteger0(esk1_2(sdtpldt0(xp,xp),xp))|$false),inference(rw,[status(thm)],[202636,113749,theory(equality)])).
% cnf(202644,plain,(aInteger0(esk1_2(sdtpldt0(xp,xp),xp))),inference(cn,[status(thm)],[202643,theory(equality)])).
% cnf(202650,plain,(sdtasdt0(xp,esk1_2(sdtpldt0(xp,xp),xp))=sdtpldt0(xp,xp)|$false),inference(rw,[status(thm)],[202639,113749,theory(equality)])).
% cnf(202651,plain,(sdtasdt0(xp,esk1_2(sdtpldt0(xp,xp),xp))=sdtpldt0(xp,xp)),inference(cn,[status(thm)],[202650,theory(equality)])).
% cnf(203041,plain,(sdtasdt0(sz10,sdtpldt0(xp,xp))=sdtpldt0(xp,xp)|~aInteger0(esk1_2(sdtpldt0(xp,xp),xp))|~aInteger0(xp)),inference(spm,[status(thm)],[921,202651,theory(equality)])).
% cnf(203172,plain,(sdtasdt0(sz10,sdtpldt0(xp,xp))=sdtpldt0(xp,xp)|$false|~aInteger0(xp)),inference(rw,[status(thm)],[203041,202644,theory(equality)])).
% cnf(203173,plain,(sdtasdt0(sz10,sdtpldt0(xp,xp))=sdtpldt0(xp,xp)|$false|$false),inference(rw,[status(thm)],[203172,280,theory(equality)])).
% cnf(203174,plain,(sdtasdt0(sz10,sdtpldt0(xp,xp))=sdtpldt0(xp,xp)),inference(cn,[status(thm)],[203173,theory(equality)])).
% cnf(207087,plain,(sdtasdt0(sz10,sdtpldt0(xp,xp))=sdtasdt0(sdtpldt0(xp,xp),sz10)|~aInteger0(sdtpldt0(xp,xp))),inference(spm,[status(thm)],[19058,203174,theory(equality)])).
% cnf(207363,plain,(sdtpldt0(xp,xp)=sdtasdt0(sdtpldt0(xp,xp),sz10)|~aInteger0(sdtpldt0(xp,xp))),inference(rw,[status(thm)],[207087,203174,theory(equality)])).
% cnf(207364,plain,(sdtpldt0(xp,xp)=sdtasdt0(sdtpldt0(xp,xp),sz10)|$false),inference(rw,[status(thm)],[207363,113749,theory(equality)])).
% cnf(207365,plain,(sdtpldt0(xp,xp)=sdtasdt0(sdtpldt0(xp,xp),sz10)),inference(cn,[status(thm)],[207364,theory(equality)])).
% cnf(207595,plain,(sdtpldt0(xp,xp)=sdtasdt0(xp,sdtpldt0(sz10,sz10))|~aInteger0(xp)|~aInteger0(sz10)),inference(spm,[status(thm)],[1020,207365,theory(equality)])).
% cnf(207923,plain,(sdtpldt0(xp,xp)=smndt0(sdtasdt0(xp,xp))|~aInteger0(xp)|~aInteger0(sz10)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[207595,159541,theory(equality)]),201530,theory(equality)])).
% cnf(207924,plain,(sdtpldt0(xp,xp)=smndt0(sdtasdt0(xp,xp))|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[207923,280,theory(equality)])).
% cnf(207925,plain,(sdtpldt0(xp,xp)=smndt0(sdtasdt0(xp,xp))|$false|$false),inference(rw,[status(thm)],[207924,59,theory(equality)])).
% cnf(207926,plain,(sdtpldt0(xp,xp)=smndt0(sdtasdt0(xp,xp))),inference(cn,[status(thm)],[207925,theory(equality)])).
% cnf(208109,plain,(smndt0(sdtpldt0(xp,xp))=sdtasdt0(xp,xp)),inference(rw,[status(thm)],[173240,207926,theory(equality)])).
% cnf(221254,plain,(aElementOf0(sdtpldt0(sz10,X1),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(csr,[status(thm)],[6253,3128])).
% cnf(221280,plain,(aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|~aDivisorOf0(xp,smndt0(xp))|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[221254,114780,theory(equality)])).
% cnf(221345,plain,(aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[221280,114219,theory(equality)])).
% cnf(221346,plain,(aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))|$false|$false),inference(rw,[status(thm)],[221345,99761,theory(equality)])).
% cnf(221347,plain,(aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))),inference(cn,[status(thm)],[221346,theory(equality)])).
% cnf(221372,negated_conjecture,(smndt0(sz10)=sdtpldt0(sz10,smndt0(xp))|sz10=sdtpldt0(sz10,smndt0(xp))),inference(spm,[status(thm)],[415,221347,theory(equality)])).
% cnf(226702,negated_conjecture,(sdtpldt0(smndt0(sz10),smndt0(sz10))=sdtpldt0(sz00,smndt0(xp))|sdtpldt0(sz10,smndt0(xp))=sz10|~aInteger0(smndt0(xp))|~aInteger0(sz10)),inference(spm,[status(thm)],[12434,221372,theory(equality)])).
% cnf(226873,negated_conjecture,(xp=sdtpldt0(sz00,smndt0(xp))|sdtpldt0(sz10,smndt0(xp))=sz10|~aInteger0(smndt0(xp))|~aInteger0(sz10)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[226702,54960,theory(equality)]),159541,theory(equality)]),114199,theory(equality)])).
% cnf(226874,negated_conjecture,(xp=smndt0(xp)|sdtpldt0(sz10,smndt0(xp))=sz10|~aInteger0(smndt0(xp))|~aInteger0(sz10)),inference(rw,[status(thm)],[226873,114780,theory(equality)])).
% cnf(226875,negated_conjecture,(xp=smndt0(xp)|sdtpldt0(sz10,smndt0(xp))=sz10|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[226874,99761,theory(equality)])).
% cnf(226876,negated_conjecture,(xp=smndt0(xp)|sdtpldt0(sz10,smndt0(xp))=sz10|$false|$false),inference(rw,[status(thm)],[226875,59,theory(equality)])).
% cnf(226877,negated_conjecture,(xp=smndt0(xp)|sdtpldt0(sz10,smndt0(xp))=sz10),inference(cn,[status(thm)],[226876,theory(equality)])).
% cnf(227217,negated_conjecture,(sdtpldt0(smndt0(smndt0(xp)),sz10)=sz10|smndt0(xp)=xp|~aInteger0(smndt0(xp))),inference(spm,[status(thm)],[14049,226877,theory(equality)])).
% cnf(227505,negated_conjecture,(smndt0(sz10)=sz10|smndt0(xp)=xp|~aInteger0(smndt0(xp))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[227217,114199,theory(equality)]),114201,theory(equality)]),159961,theory(equality)])).
% cnf(227506,negated_conjecture,(smndt0(sz10)=sz10|smndt0(xp)=xp|$false),inference(rw,[status(thm)],[227505,99761,theory(equality)])).
% cnf(227507,negated_conjecture,(smndt0(sz10)=sz10|smndt0(xp)=xp),inference(cn,[status(thm)],[227506,theory(equality)])).
% cnf(227628,negated_conjecture,(sdtpldt0(xp,xp)=sz00|smndt0(sz10)=sz10|~aInteger0(xp)),inference(spm,[status(thm)],[84,227507,theory(equality)])).
% cnf(227996,negated_conjecture,(sdtpldt0(xp,xp)=sz00|smndt0(sz10)=sz10|$false),inference(rw,[status(thm)],[227628,280,theory(equality)])).
% cnf(227997,negated_conjecture,(sdtpldt0(xp,xp)=sz00|smndt0(sz10)=sz10),inference(cn,[status(thm)],[227996,theory(equality)])).
% cnf(229319,negated_conjecture,(smndt0(sz00)=sdtasdt0(xp,xp)|smndt0(sz10)=sz10),inference(spm,[status(thm)],[208109,227997,theory(equality)])).
% cnf(229580,negated_conjecture,(sz00=sdtasdt0(xp,xp)|smndt0(sz10)=sz10),inference(rw,[status(thm)],[229319,1987,theory(equality)])).
% cnf(229581,negated_conjecture,(smndt0(sz10)=sz10),inference(sr,[status(thm)],[229580,173122,theory(equality)])).
% cnf(229916,plain,(sz00=xp),inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[160364,229581,theory(equality)]),2404,theory(equality)]),2255,theory(equality)])).
% cnf(229917,plain,($false),inference(sr,[status(thm)],[229916,279,theory(equality)])).
% cnf(229918,plain,($false),229917,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 9348
% # ...of these trivial                : 752
% # ...subsumed                        : 5667
% # ...remaining for further processing: 2929
% # Other redundant clauses eliminated : 23
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 59
% # Backward-rewritten                 : 1136
% # Generated clauses                  : 84521
% # ...of the previous two non-trivial : 69552
% # Contextual simplify-reflections    : 1209
% # Paramodulations                    : 84423
% # Factorizations                     : 14
% # Equation resolutions               : 84
% # Current number of processed clauses: 1734
% #    Positive orientable unit clauses: 278
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 24
% #    Non-unit-clauses                : 1432
% # Current number of unprocessed clauses: 40319
% # ...number of literals in the above : 228073
% # Clause-clause subsumption calls (NU) : 103187
% # Rec. Clause-clause subsumption calls : 81004
% # Unit Clause-clause subsumption calls : 1238
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 2591
% # Indexed BW rewrite successes       : 103
% # Backwards rewriting index:  1602 leaves,   1.53+/-1.659 terms/leaf
% # Paramod-from index:          749 leaves,   1.55+/-1.710 terms/leaf
% # Paramod-into index:         1306 leaves,   1.52+/-1.560 terms/leaf
% # -------------------------------------------------
% # User time              : 4.628 s
% # System time            : 0.192 s
% # Total time             : 4.820 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.77 CPU 8.34 WC
% FINAL PrfWatch: 7.77 CPU 8.34 WC
% SZS output end Solution for /tmp/SystemOnTPTP14091/NUM451+6.tptp
% 
%------------------------------------------------------------------------------