TSTP Solution File: NUM426+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM426+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art05.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 18:56:44 EST 2010
% Result : Theorem 15.39s
% Output : Solution 15.39s
% 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/SystemOnTPTP30939/NUM426+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP30939/NUM426+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP30939/NUM426+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 31035
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.94 CPU 2.03 WC
% PrfWatch: 3.92 CPU 4.03 WC
% PrfWatch: 5.80 CPU 6.04 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.36 CPU 8.10 WC
% PrfWatch: 9.22 CPU 10.10 WC
% PrfWatch: 11.21 CPU 12.10 WC
% PrfWatch: 12.84 CPU 14.11 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aInteger0(sz00),file('/tmp/SRASS.s.p', mIntZero)).
% fof(2, axiom,![X1]:(aInteger0(X1)=>aInteger0(smndt0(X1))),file('/tmp/SRASS.s.p', mIntNeg)).
% fof(3, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>aInteger0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mIntPlus)).
% fof(4, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>aInteger0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mIntMult)).
% fof(5, 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(6, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),file('/tmp/SRASS.s.p', mAddComm)).
% fof(7, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', mAddZero)).
% fof(8, axiom,![X1]:(aInteger0(X1)=>(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),file('/tmp/SRASS.s.p', mAddNeg)).
% fof(9, 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(10, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(11, 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(12, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', mMulZero)).
% fof(13, axiom,![X1]:![X2]:((aInteger0(X1)&aInteger0(X2))=>(sdtasdt0(X1,X2)=sz00=>(X1=sz00|X2=sz00))),file('/tmp/SRASS.s.p', mZeroDiv)).
% fof(15, axiom,(((aInteger0(xa)&aInteger0(xb))&aInteger0(xq))&~(xq=sz00)),file('/tmp/SRASS.s.p', m__704)).
% fof(16, axiom,sdteqdtlpzmzozddtrp0(xa,xb,xq),file('/tmp/SRASS.s.p', m__724)).
% fof(17, axiom,(aInteger0(xn)&sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),file('/tmp/SRASS.s.p', m__747)).
% 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]:(aInteger0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMinOne)).
% fof(20, 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(21, axiom,aInteger0(sz10),file('/tmp/SRASS.s.p', mIntOne)).
% fof(22, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', mMulOne)).
% fof(24, conjecture,sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa)),file('/tmp/SRASS.s.p', m__)).
% fof(25, negated_conjecture,~(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))),inference(assume_negation,[status(cth)],[24])).
% fof(27, negated_conjecture,~(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))),inference(fof_simplification,[status(thm)],[25,theory(equality)])).
% cnf(28,plain,(aInteger0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(29, plain,![X1]:(~(aInteger0(X1))|aInteger0(smndt0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(30, plain,![X2]:(~(aInteger0(X2))|aInteger0(smndt0(X2))),inference(variable_rename,[status(thm)],[29])).
% cnf(31,plain,(aInteger0(smndt0(X1))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[30])).
% fof(32, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(33, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[32])).
% cnf(34,plain,(aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[33])).
% fof(35, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(36, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[35])).
% cnf(37,plain,(aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[36])).
% fof(38, 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)],[5])).
% fof(39, 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)],[38])).
% cnf(40,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[39])).
% fof(41, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[6])).
% fof(42, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[41])).
% cnf(43,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[42])).
% fof(44, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(45, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aInteger0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[45])).
% cnf(47,plain,(X1=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[46])).
% cnf(48,plain,(sdtpldt0(X1,sz00)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[46])).
% fof(49, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(50, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,smndt0(X2))=sz00&sz00=sdtpldt0(smndt0(X2),X2))),inference(variable_rename,[status(thm)],[49])).
% fof(51, plain,![X2]:((sdtpldt0(X2,smndt0(X2))=sz00|~(aInteger0(X2)))&(sz00=sdtpldt0(smndt0(X2),X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(sz00=sdtpldt0(smndt0(X1),X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(sdtpldt0(X1,smndt0(X1))=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(54, 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)],[9])).
% fof(55, 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)],[54])).
% cnf(56,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(sdtasdt0(X1,X2),X3)|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(57, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[10])).
% fof(58, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[57])).
% cnf(59,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[58])).
% fof(60, 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)],[11])).
% fof(61, 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)],[60])).
% fof(62, 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)],[61])).
% cnf(63,plain,(sdtasdt0(sdtpldt0(X3,X2),X1)=sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[62])).
% cnf(64,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[62])).
% fof(65, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[12])).
% fof(66, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[65])).
% fof(67, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aInteger0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[66])).
% cnf(68,plain,(sz00=sdtasdt0(sz00,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[67])).
% cnf(69,plain,(sdtasdt0(X1,sz00)=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[67])).
% fof(70, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|(~(sdtasdt0(X1,X2)=sz00)|(X1=sz00|X2=sz00))),inference(fof_nnf,[status(thm)],[13])).
% fof(71, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|(~(sdtasdt0(X3,X4)=sz00)|(X3=sz00|X4=sz00))),inference(variable_rename,[status(thm)],[70])).
% cnf(72,plain,(X1=sz00|X2=sz00|sdtasdt0(X2,X1)!=sz00|~aInteger0(X1)|~aInteger0(X2)),inference(split_conjunct,[status(thm)],[71])).
% cnf(76,plain,(xq!=sz00),inference(split_conjunct,[status(thm)],[15])).
% cnf(77,plain,(aInteger0(xq)),inference(split_conjunct,[status(thm)],[15])).
% cnf(78,plain,(aInteger0(xb)),inference(split_conjunct,[status(thm)],[15])).
% cnf(79,plain,(aInteger0(xa)),inference(split_conjunct,[status(thm)],[15])).
% cnf(80,plain,(sdteqdtlpzmzozddtrp0(xa,xb,xq)),inference(split_conjunct,[status(thm)],[16])).
% cnf(81,plain,(sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),inference(split_conjunct,[status(thm)],[17])).
% cnf(82,plain,(aInteger0(xn)),inference(split_conjunct,[status(thm)],[17])).
% fof(83, 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(84, 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)],[83])).
% fof(85, 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)],[84])).
% cnf(87,plain,(X1=sz00|aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)|~sdteqdtlpzmzozddtrp0(X3,X2,X1)),inference(split_conjunct,[status(thm)],[85])).
% fof(88, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[19])).
% fof(89, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aInteger0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aInteger0(X2)))),inference(distribute,[status(thm)],[89])).
% cnf(91,plain,(smndt0(X1)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[90])).
% cnf(92,plain,(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[90])).
% fof(93, 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)],[20])).
% fof(94, 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)],[93])).
% fof(95, 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)],[94])).
% fof(96, 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)],[95])).
% fof(97, 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)],[96])).
% cnf(98,plain,(sdtasdt0(X2,esk1_2(X1,X2))=X1|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(99,plain,(aInteger0(esk1_2(X1,X2))|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[97])).
% cnf(103,plain,(aInteger0(sz10)),inference(split_conjunct,[status(thm)],[21])).
% fof(104, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(105, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[104])).
% fof(106, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aInteger0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[105])).
% cnf(107,plain,(X1=sdtasdt0(sz10,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(108,plain,(sdtasdt0(X1,sz10)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(111,negated_conjecture,(sdtasdt0(xq,smndt0(xn))!=sdtpldt0(xb,smndt0(xa))),inference(split_conjunct,[status(thm)],[27])).
% cnf(112,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|~aInteger0(sz00)),inference(spm,[status(thm)],[47,53,theory(equality)])).
% cnf(113,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|$false),inference(rw,[status(thm)],[112,28,theory(equality)])).
% cnf(114,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))),inference(cn,[status(thm)],[113,theory(equality)])).
% cnf(212,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X3)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[43,40,theory(equality)])).
% cnf(217,plain,(sdtpldt0(sz00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[40,52,theory(equality)])).
% cnf(218,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[40,47,theory(equality)])).
% cnf(219,plain,(sdtpldt0(sz00,X2)=sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))|~aInteger0(X2)|~aInteger0(smndt0(X1))|~aInteger0(X1)),inference(spm,[status(thm)],[40,53,theory(equality)])).
% cnf(227,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[218,28,theory(equality)])).
% cnf(228,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[227,theory(equality)])).
% cnf(234,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)],[59,56,theory(equality)])).
% cnf(237,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aInteger0(X3)|~aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[37,56,theory(equality)])).
% cnf(240,plain,(sdtasdt0(smndt0(X1),X2)=sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[56,92,theory(equality)])).
% cnf(243,plain,(sdtasdt0(smndt0(X1),X2)=sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))|~aInteger0(X2)|~aInteger0(smndt0(sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[56,91,theory(equality)])).
% cnf(245,plain,(sdtasdt0(sdtasdt0(X2,X1),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[56,59,theory(equality)])).
% cnf(260,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)],[34,64,theory(equality)])).
% cnf(267,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[64,108,theory(equality)])).
% cnf(269,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz00)),inference(spm,[status(thm)],[64,69,theory(equality)])).
% cnf(285,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[267,103,theory(equality)])).
% cnf(286,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[285,theory(equality)])).
% cnf(287,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[269,28,theory(equality)])).
% cnf(288,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(X1,sdtpldt0(X2,sz00))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[287,theory(equality)])).
% cnf(298,plain,(aInteger0(sdtasdt0(sdtpldt0(X1,X3),X2))|~aInteger0(sdtasdt0(X3,X2))|~aInteger0(sdtasdt0(X1,X2))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(spm,[status(thm)],[34,63,theory(equality)])).
% cnf(302,plain,(sdtpldt0(sdtasdt0(X1,X2),X2)=sdtasdt0(sdtpldt0(X1,sz10),X2)|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(X2)),inference(spm,[status(thm)],[63,107,theory(equality)])).
% cnf(308,plain,(sdtpldt0(sdtasdt0(X1,sz00),sz00)=sdtasdt0(sdtpldt0(X1,X2),sz00)|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz00)),inference(spm,[status(thm)],[63,69,theory(equality)])).
% cnf(320,plain,(sdtpldt0(sdtasdt0(X1,X2),X2)=sdtasdt0(sdtpldt0(X1,sz10),X2)|~aInteger0(X1)|$false|~aInteger0(X2)),inference(rw,[status(thm)],[302,103,theory(equality)])).
% cnf(321,plain,(sdtpldt0(sdtasdt0(X1,X2),X2)=sdtasdt0(sdtpldt0(X1,sz10),X2)|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[320,theory(equality)])).
% cnf(326,plain,(sdtpldt0(sdtasdt0(X1,sz00),sz00)=sdtasdt0(sdtpldt0(X1,X2),sz00)|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[308,28,theory(equality)])).
% cnf(327,plain,(sdtpldt0(sdtasdt0(X1,sz00),sz00)=sdtasdt0(sdtpldt0(X1,X2),sz00)|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[326,theory(equality)])).
% cnf(365,plain,(sz00=xq|aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))|~aInteger0(xa)|~aInteger0(xb)|~aInteger0(xq)),inference(spm,[status(thm)],[87,80,theory(equality)])).
% cnf(367,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|~aInteger0(xa)|~aInteger0(xb)|~aInteger0(xq)),inference(rw,[status(thm)],[365,81,theory(equality)])).
% cnf(368,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|~aInteger0(xb)|~aInteger0(xq)),inference(rw,[status(thm)],[367,79,theory(equality)])).
% cnf(369,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|$false|~aInteger0(xq)),inference(rw,[status(thm)],[368,78,theory(equality)])).
% cnf(370,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|$false|$false),inference(rw,[status(thm)],[369,77,theory(equality)])).
% cnf(371,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))),inference(cn,[status(thm)],[370,theory(equality)])).
% cnf(372,plain,(aDivisorOf0(xq,sdtasdt0(xq,xn))),inference(sr,[status(thm)],[371,76,theory(equality)])).
% cnf(373,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[99,372,theory(equality)])).
% cnf(375,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[98,372,theory(equality)])).
% cnf(377,plain,(smndt0(sz00)=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[114,31,theory(equality)])).
% cnf(378,plain,(smndt0(sz00)=sz00|$false),inference(rw,[status(thm)],[377,28,theory(equality)])).
% cnf(379,plain,(smndt0(sz00)=sz00),inference(cn,[status(thm)],[378,theory(equality)])).
% cnf(380,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[373,37,theory(equality)])).
% cnf(381,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[380,82,theory(equality)])).
% cnf(382,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|$false|$false),inference(rw,[status(thm)],[381,77,theory(equality)])).
% cnf(383,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(cn,[status(thm)],[382,theory(equality)])).
% cnf(385,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[375,37,theory(equality)])).
% cnf(386,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[385,82,theory(equality)])).
% cnf(387,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|$false|$false),inference(rw,[status(thm)],[386,77,theory(equality)])).
% cnf(388,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[387,theory(equality)])).
% cnf(390,plain,(aInteger0(sdtasdt0(xq,xn))|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(xq)),inference(spm,[status(thm)],[37,388,theory(equality)])).
% cnf(391,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))|~aInteger0(X1)|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(xq)),inference(spm,[status(thm)],[56,388,theory(equality)])).
% cnf(402,plain,(aInteger0(sdtasdt0(xq,xn))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[390,383,theory(equality)])).
% cnf(403,plain,(aInteger0(sdtasdt0(xq,xn))|$false|$false),inference(rw,[status(thm)],[402,77,theory(equality)])).
% cnf(404,plain,(aInteger0(sdtasdt0(xq,xn))),inference(cn,[status(thm)],[403,theory(equality)])).
% cnf(405,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[391,383,theory(equality)])).
% cnf(406,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[405,77,theory(equality)])).
% cnf(407,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk1_2(sdtasdt0(xq,xn),xq),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[406,theory(equality)])).
% cnf(425,plain,(sdtpldt0(sz00,sz00)=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[53,379,theory(equality)])).
% cnf(434,plain,(sdtpldt0(sz00,sz00)=sz00|$false),inference(rw,[status(thm)],[425,28,theory(equality)])).
% cnf(435,plain,(sdtpldt0(sz00,sz00)=sz00),inference(cn,[status(thm)],[434,theory(equality)])).
% cnf(471,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(sdtasdt0(xq,xn),sz10)|~aInteger0(sz10)|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(spm,[status(thm)],[407,108,theory(equality)])).
% cnf(473,plain,(sdtasdt0(xq,sz00)=sdtasdt0(sdtasdt0(xq,xn),sz00)|~aInteger0(sz00)|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(spm,[status(thm)],[407,69,theory(equality)])).
% cnf(494,plain,(sdtasdt0(xq,xn)=sdtasdt0(sdtasdt0(xq,xn),sz10)|~aInteger0(sz10)|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(rw,[status(thm)],[471,388,theory(equality)])).
% cnf(495,plain,(sdtasdt0(xq,xn)=sdtasdt0(sdtasdt0(xq,xn),sz10)|$false|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(rw,[status(thm)],[494,103,theory(equality)])).
% cnf(496,plain,(sdtasdt0(xq,xn)=sdtasdt0(sdtasdt0(xq,xn),sz10)|$false|$false),inference(rw,[status(thm)],[495,383,theory(equality)])).
% cnf(497,plain,(sdtasdt0(xq,xn)=sdtasdt0(sdtasdt0(xq,xn),sz10)),inference(cn,[status(thm)],[496,theory(equality)])).
% cnf(500,plain,(sdtasdt0(xq,sz00)=sdtasdt0(sdtasdt0(xq,xn),sz00)|$false|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(rw,[status(thm)],[473,28,theory(equality)])).
% cnf(501,plain,(sdtasdt0(xq,sz00)=sdtasdt0(sdtasdt0(xq,xn),sz00)|$false|$false),inference(rw,[status(thm)],[500,383,theory(equality)])).
% cnf(502,plain,(sdtasdt0(xq,sz00)=sdtasdt0(sdtasdt0(xq,xn),sz00)),inference(cn,[status(thm)],[501,theory(equality)])).
% cnf(661,plain,(sdtasdt0(xq,sz00)=sz00|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[69,502,theory(equality)])).
% cnf(690,plain,(sdtasdt0(xq,sz00)=sz00|$false),inference(rw,[status(thm)],[661,404,theory(equality)])).
% cnf(691,plain,(sdtasdt0(xq,sz00)=sz00),inference(cn,[status(thm)],[690,theory(equality)])).
% cnf(696,plain,(sdtasdt0(sz00,xq)=sz00|~aInteger0(xq)|~aInteger0(sz00)),inference(spm,[status(thm)],[59,691,theory(equality)])).
% cnf(699,plain,(sdtasdt0(sz00,X1)=sdtasdt0(xq,sdtasdt0(sz00,X1))|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(xq)),inference(spm,[status(thm)],[56,691,theory(equality)])).
% cnf(700,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|~aInteger0(xq)|~aInteger0(sz00)|~aInteger0(X1)),inference(spm,[status(thm)],[64,691,theory(equality)])).
% cnf(705,plain,(sdtasdt0(sdtasdt0(xq,xn),sz00)=sz00),inference(rw,[status(thm)],[502,691,theory(equality)])).
% cnf(706,plain,(sdtasdt0(sz00,xq)=sz00|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[696,77,theory(equality)])).
% cnf(707,plain,(sdtasdt0(sz00,xq)=sz00|$false|$false),inference(rw,[status(thm)],[706,28,theory(equality)])).
% cnf(708,plain,(sdtasdt0(sz00,xq)=sz00),inference(cn,[status(thm)],[707,theory(equality)])).
% cnf(716,plain,(sdtasdt0(sz00,X1)=sdtasdt0(xq,sdtasdt0(sz00,X1))|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[699,28,theory(equality)])).
% cnf(717,plain,(sdtasdt0(sz00,X1)=sdtasdt0(xq,sdtasdt0(sz00,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[716,77,theory(equality)])).
% cnf(718,plain,(sdtasdt0(sz00,X1)=sdtasdt0(xq,sdtasdt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[717,theory(equality)])).
% cnf(719,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|$false|~aInteger0(sz00)|~aInteger0(X1)),inference(rw,[status(thm)],[700,77,theory(equality)])).
% cnf(720,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[719,28,theory(equality)])).
% cnf(721,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[720,theory(equality)])).
% cnf(736,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xq,X1))|~aInteger0(X1)|~aInteger0(xq)|~aInteger0(sz00)),inference(spm,[status(thm)],[56,708,theory(equality)])).
% cnf(745,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xq,X1))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[736,77,theory(equality)])).
% cnf(746,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xq,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[745,28,theory(equality)])).
% cnf(747,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xq,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[746,theory(equality)])).
% cnf(770,plain,(sz00=sdtasdt0(xq,sdtasdt0(xn,sz00))|~aInteger0(sz00)|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[56,705,theory(equality)])).
% cnf(799,plain,(sz00=sdtasdt0(xq,sdtasdt0(xn,sz00))|$false|~aInteger0(xn)|~aInteger0(xq)),inference(rw,[status(thm)],[770,28,theory(equality)])).
% cnf(800,plain,(sz00=sdtasdt0(xq,sdtasdt0(xn,sz00))|$false|$false|~aInteger0(xq)),inference(rw,[status(thm)],[799,82,theory(equality)])).
% cnf(801,plain,(sz00=sdtasdt0(xq,sdtasdt0(xn,sz00))|$false|$false|$false),inference(rw,[status(thm)],[800,77,theory(equality)])).
% cnf(802,plain,(sz00=sdtasdt0(xq,sdtasdt0(xn,sz00))),inference(cn,[status(thm)],[801,theory(equality)])).
% cnf(830,plain,(sz00=xq|sz00=sdtasdt0(xn,sz00)|~aInteger0(xq)|~aInteger0(sdtasdt0(xn,sz00))),inference(spm,[status(thm)],[72,802,theory(equality)])).
% cnf(841,plain,(sz00=xq|sz00=sdtasdt0(xn,sz00)|$false|~aInteger0(sdtasdt0(xn,sz00))),inference(rw,[status(thm)],[830,77,theory(equality)])).
% cnf(842,plain,(sz00=xq|sz00=sdtasdt0(xn,sz00)|~aInteger0(sdtasdt0(xn,sz00))),inference(cn,[status(thm)],[841,theory(equality)])).
% cnf(843,plain,(sdtasdt0(xn,sz00)=sz00|~aInteger0(sdtasdt0(xn,sz00))),inference(sr,[status(thm)],[842,76,theory(equality)])).
% cnf(955,plain,(sdtasdt0(xn,sz00)=sz00|~aInteger0(sz00)|~aInteger0(xn)),inference(spm,[status(thm)],[843,37,theory(equality)])).
% cnf(962,plain,(sdtasdt0(xn,sz00)=sz00|$false|~aInteger0(xn)),inference(rw,[status(thm)],[955,28,theory(equality)])).
% cnf(963,plain,(sdtasdt0(xn,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[962,82,theory(equality)])).
% cnf(964,plain,(sdtasdt0(xn,sz00)=sz00),inference(cn,[status(thm)],[963,theory(equality)])).
% cnf(965,plain,(sdtasdt0(sz00,xn)=sz00|~aInteger0(xn)|~aInteger0(sz00)),inference(spm,[status(thm)],[59,964,theory(equality)])).
% cnf(978,plain,(sdtasdt0(sz00,xn)=sz00|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[965,82,theory(equality)])).
% cnf(979,plain,(sdtasdt0(sz00,xn)=sz00|$false|$false),inference(rw,[status(thm)],[978,28,theory(equality)])).
% cnf(980,plain,(sdtasdt0(sz00,xn)=sz00),inference(cn,[status(thm)],[979,theory(equality)])).
% cnf(1007,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xn,X1))|~aInteger0(X1)|~aInteger0(xn)|~aInteger0(sz00)),inference(spm,[status(thm)],[56,980,theory(equality)])).
% cnf(1017,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xn,X1))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[1007,82,theory(equality)])).
% cnf(1018,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xn,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[1017,28,theory(equality)])).
% cnf(1019,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(xn,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[1018,theory(equality)])).
% cnf(1084,plain,(sdtasdt0(xq,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[718,59,theory(equality)])).
% cnf(1118,plain,(sdtasdt0(xq,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[1084,28,theory(equality)])).
% cnf(1119,plain,(sdtasdt0(xq,sdtasdt0(X1,sz00))=sdtasdt0(X1,sz00)|~aInteger0(X1)),inference(cn,[status(thm)],[1118,theory(equality)])).
% cnf(1141,plain,(sdtasdt0(sz00,xq)=sdtasdt0(sz00,sz10)|~aInteger0(sz10)|~aInteger0(xq)),inference(spm,[status(thm)],[747,108,theory(equality)])).
% cnf(1164,plain,(sz00=sdtasdt0(sz00,sz10)|~aInteger0(sz10)|~aInteger0(xq)),inference(rw,[status(thm)],[1141,708,theory(equality)])).
% cnf(1165,plain,(sz00=sdtasdt0(sz00,sz10)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[1164,103,theory(equality)])).
% cnf(1166,plain,(sz00=sdtasdt0(sz00,sz10)|$false|$false),inference(rw,[status(thm)],[1165,77,theory(equality)])).
% cnf(1167,plain,(sz00=sdtasdt0(sz00,sz10)),inference(cn,[status(thm)],[1166,theory(equality)])).
% cnf(1315,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))|~aInteger0(xn)),inference(spm,[status(thm)],[1019,91,theory(equality)])).
% cnf(1336,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[1315,82,theory(equality)])).
% cnf(1337,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[1336,theory(equality)])).
% cnf(1568,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[1337,31,theory(equality)])).
% cnf(1569,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))|$false),inference(rw,[status(thm)],[1568,103,theory(equality)])).
% cnf(1570,plain,(sdtasdt0(sz00,smndt0(xn))=sdtasdt0(sz00,smndt0(sz10))),inference(cn,[status(thm)],[1569,theory(equality)])).
% cnf(1577,plain,(sdtasdt0(sz00,smndt0(sz10))=sz00|~aInteger0(smndt0(xn))),inference(spm,[status(thm)],[68,1570,theory(equality)])).
% cnf(1593,plain,(sdtasdt0(sz00,smndt0(sz10))=sz00|~aInteger0(xn)),inference(spm,[status(thm)],[1577,31,theory(equality)])).
% cnf(1594,plain,(sdtasdt0(sz00,smndt0(sz10))=sz00|$false),inference(rw,[status(thm)],[1593,82,theory(equality)])).
% cnf(1595,plain,(sdtasdt0(sz00,smndt0(sz10))=sz00),inference(cn,[status(thm)],[1594,theory(equality)])).
% cnf(1605,plain,(sdtasdt0(sz00,smndt0(xn))=sz00),inference(rw,[status(thm)],[1570,1595,theory(equality)])).
% cnf(1626,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(smndt0(xn),X1))|~aInteger0(X1)|~aInteger0(smndt0(xn))|~aInteger0(sz00)),inference(spm,[status(thm)],[56,1605,theory(equality)])).
% cnf(1636,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(smndt0(xn),X1))|~aInteger0(X1)|~aInteger0(smndt0(xn))|$false),inference(rw,[status(thm)],[1626,28,theory(equality)])).
% cnf(1637,plain,(sdtasdt0(sz00,X1)=sdtasdt0(sz00,sdtasdt0(smndt0(xn),X1))|~aInteger0(X1)|~aInteger0(smndt0(xn))),inference(cn,[status(thm)],[1636,theory(equality)])).
% cnf(1776,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|~aInteger0(sz10)|~aInteger0(xq)),inference(spm,[status(thm)],[721,108,theory(equality)])).
% cnf(1792,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[1776,103,theory(equality)])).
% cnf(1793,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[1792,77,theory(equality)])).
% cnf(1794,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[1793,theory(equality)])).
% cnf(1822,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)|~aInteger0(sz10)),inference(spm,[status(thm)],[1794,47,theory(equality)])).
% cnf(1841,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)|$false),inference(rw,[status(thm)],[1822,103,theory(equality)])).
% cnf(1842,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)),inference(cn,[status(thm)],[1841,theory(equality)])).
% cnf(1845,plain,(sdtasdt0(xq,sz10)=xq|~aInteger0(xq)),inference(spm,[status(thm)],[47,1842,theory(equality)])).
% cnf(1847,plain,(sdtasdt0(xq,sdtpldt0(sz00,sz10))=sdtasdt0(xq,sz10)),inference(rw,[status(thm)],[1794,1842,theory(equality)])).
% cnf(1854,plain,(sdtasdt0(xq,sz10)=xq|$false),inference(rw,[status(thm)],[1845,77,theory(equality)])).
% cnf(1855,plain,(sdtasdt0(xq,sz10)=xq),inference(cn,[status(thm)],[1854,theory(equality)])).
% cnf(1860,plain,(sdtasdt0(xq,X1)=sdtasdt0(xq,sdtasdt0(sz10,X1))|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(xq)),inference(spm,[status(thm)],[56,1855,theory(equality)])).
% cnf(1861,plain,(sdtpldt0(xq,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz10,X1))|~aInteger0(xq)|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[64,1855,theory(equality)])).
% cnf(1876,plain,(sdtasdt0(xq,X1)=sdtasdt0(xq,sdtasdt0(sz10,X1))|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[1860,103,theory(equality)])).
% cnf(1877,plain,(sdtasdt0(xq,X1)=sdtasdt0(xq,sdtasdt0(sz10,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[1876,77,theory(equality)])).
% cnf(1878,plain,(sdtasdt0(xq,X1)=sdtasdt0(xq,sdtasdt0(sz10,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[1877,theory(equality)])).
% cnf(1879,plain,(sdtpldt0(xq,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz10,X1))|$false|~aInteger0(sz10)|~aInteger0(X1)),inference(rw,[status(thm)],[1861,77,theory(equality)])).
% cnf(1880,plain,(sdtpldt0(xq,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz10,X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[1879,103,theory(equality)])).
% cnf(1881,plain,(sdtpldt0(xq,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz10,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[1880,theory(equality)])).
% cnf(1949,plain,(sdtasdt0(xq,sdtpldt0(sz00,sz10))=xq),inference(rw,[status(thm)],[1847,1855,theory(equality)])).
% cnf(2041,plain,(sdtasdt0(xq,sz00)=sdtasdt0(sz10,sz00)|~aInteger0(sz10)|~aInteger0(sz00)),inference(spm,[status(thm)],[1119,1878,theory(equality)])).
% cnf(2042,plain,(sdtasdt0(xq,sdtasdt0(X1,sz10))=sdtasdt0(xq,X1)|~aInteger0(X1)|~aInteger0(sz10)),inference(spm,[status(thm)],[1878,59,theory(equality)])).
% cnf(2062,plain,(sz00=sdtasdt0(sz10,sz00)|~aInteger0(sz10)|~aInteger0(sz00)),inference(rw,[status(thm)],[2041,691,theory(equality)])).
% cnf(2063,plain,(sz00=sdtasdt0(sz10,sz00)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2062,103,theory(equality)])).
% cnf(2064,plain,(sz00=sdtasdt0(sz10,sz00)|$false|$false),inference(rw,[status(thm)],[2063,28,theory(equality)])).
% cnf(2065,plain,(sz00=sdtasdt0(sz10,sz00)),inference(cn,[status(thm)],[2064,theory(equality)])).
% cnf(2066,plain,(sdtasdt0(xq,sdtasdt0(X1,sz10))=sdtasdt0(xq,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[2042,103,theory(equality)])).
% cnf(2067,plain,(sdtasdt0(xq,sdtasdt0(X1,sz10))=sdtasdt0(xq,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[2066,theory(equality)])).
% cnf(2143,plain,(sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X2,sdtasdt0(X1,sz10)))=sdtasdt0(sdtpldt0(xq,X2),sdtasdt0(X1,sz10))|~aInteger0(xq)|~aInteger0(X2)|~aInteger0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[63,2067,theory(equality)])).
% cnf(2163,plain,(sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X2,sdtasdt0(X1,sz10)))=sdtasdt0(sdtpldt0(xq,X2),sdtasdt0(X1,sz10))|$false|~aInteger0(X2)|~aInteger0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(rw,[status(thm)],[2143,77,theory(equality)])).
% cnf(2164,plain,(sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X2,sdtasdt0(X1,sz10)))=sdtasdt0(sdtpldt0(xq,X2),sdtasdt0(X1,sz10))|~aInteger0(X2)|~aInteger0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[2163,theory(equality)])).
% cnf(2222,plain,(sdtpldt0(xq,sz00)=sdtasdt0(xq,sdtpldt0(sz10,sz00))|~aInteger0(sz00)|~aInteger0(xq)),inference(spm,[status(thm)],[1881,69,theory(equality)])).
% cnf(2247,plain,(sdtpldt0(xq,sz00)=sdtasdt0(xq,sdtpldt0(sz10,sz00))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[2222,28,theory(equality)])).
% cnf(2248,plain,(sdtpldt0(xq,sz00)=sdtasdt0(xq,sdtpldt0(sz10,sz00))|$false|$false),inference(rw,[status(thm)],[2247,77,theory(equality)])).
% cnf(2249,plain,(sdtpldt0(xq,sz00)=sdtasdt0(xq,sdtpldt0(sz10,sz00))),inference(cn,[status(thm)],[2248,theory(equality)])).
% cnf(2311,plain,(sdtasdt0(xq,sdtpldt0(sz00,sz10))=sdtpldt0(xq,sz00)|~aInteger0(sz00)|~aInteger0(sz10)),inference(spm,[status(thm)],[2249,43,theory(equality)])).
% cnf(2332,plain,(xq=sdtpldt0(xq,sz00)|~aInteger0(sz00)|~aInteger0(sz10)),inference(rw,[status(thm)],[2311,1949,theory(equality)])).
% cnf(2333,plain,(xq=sdtpldt0(xq,sz00)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[2332,28,theory(equality)])).
% cnf(2334,plain,(xq=sdtpldt0(xq,sz00)|$false|$false),inference(rw,[status(thm)],[2333,103,theory(equality)])).
% cnf(2335,plain,(xq=sdtpldt0(xq,sz00)),inference(cn,[status(thm)],[2334,theory(equality)])).
% cnf(2868,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[212,34])).
% cnf(2918,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[2868,52,theory(equality)])).
% cnf(2925,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[2868,47,theory(equality)])).
% cnf(2942,plain,(sdtpldt0(X1,sz00)=sdtpldt0(X2,sdtpldt0(X1,smndt0(X2)))|~aInteger0(X2)|~aInteger0(smndt0(X2))|~aInteger0(X1)),inference(spm,[status(thm)],[2868,52,theory(equality)])).
% cnf(2952,plain,(sdtpldt0(X1,sz00)=sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))|~aInteger0(smndt0(X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[2868,53,theory(equality)])).
% cnf(3031,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[2925,28,theory(equality)])).
% cnf(3032,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[3031,theory(equality)])).
% cnf(4241,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz00,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[217,31])).
% cnf(4540,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)|~aInteger0(smndt0(xb))|~aInteger0(xa)),inference(spm,[status(thm)],[228,81,theory(equality)])).
% cnf(4630,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)|~aInteger0(smndt0(xb))|$false),inference(rw,[status(thm)],[4540,79,theory(equality)])).
% cnf(4631,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)|~aInteger0(smndt0(xb))),inference(cn,[status(thm)],[4630,theory(equality)])).
% cnf(4702,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(sz00,X2)|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[219,31])).
% cnf(5039,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)|~aInteger0(xb)),inference(spm,[status(thm)],[4631,31,theory(equality)])).
% cnf(5040,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)|$false),inference(rw,[status(thm)],[5039,78,theory(equality)])).
% cnf(5041,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[5040,theory(equality)])).
% cnf(6765,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[234,37])).
% cnf(6776,plain,(sdtasdt0(X1,sdtasdt0(xq,sz10))=sdtasdt0(xq,X1)|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(xq)),inference(spm,[status(thm)],[1878,6765,theory(equality)])).
% cnf(6963,plain,(sdtasdt0(X1,xq)=sdtasdt0(xq,X1)|~aInteger0(X1)|~aInteger0(sz10)|~aInteger0(xq)),inference(rw,[status(thm)],[6776,1855,theory(equality)])).
% cnf(6964,plain,(sdtasdt0(X1,xq)=sdtasdt0(xq,X1)|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[6963,103,theory(equality)])).
% cnf(6965,plain,(sdtasdt0(X1,xq)=sdtasdt0(xq,X1)|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[6964,77,theory(equality)])).
% cnf(6966,plain,(sdtasdt0(X1,xq)=sdtasdt0(xq,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[6965,theory(equality)])).
% cnf(7280,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)|~aInteger0(xq)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[92,6966,theory(equality)])).
% cnf(7369,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[7280,77,theory(equality)])).
% cnf(7370,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[7369,theory(equality)])).
% cnf(8180,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[237,37])).
% cnf(10102,plain,(sdtasdt0(xn,sdtasdt0(xq,sz10))=sdtasdt0(xq,xn)|~aInteger0(sz10)|~aInteger0(xq)|~aInteger0(xn)),inference(spm,[status(thm)],[497,245,theory(equality)])).
% cnf(10199,plain,(sdtasdt0(xn,xq)=sdtasdt0(xq,xn)|~aInteger0(sz10)|~aInteger0(xq)|~aInteger0(xn)),inference(rw,[status(thm)],[10102,1855,theory(equality)])).
% cnf(10200,plain,(sdtasdt0(xn,xq)=sdtasdt0(xq,xn)|$false|~aInteger0(xq)|~aInteger0(xn)),inference(rw,[status(thm)],[10199,103,theory(equality)])).
% cnf(10201,plain,(sdtasdt0(xn,xq)=sdtasdt0(xq,xn)|$false|$false|~aInteger0(xn)),inference(rw,[status(thm)],[10200,77,theory(equality)])).
% cnf(10202,plain,(sdtasdt0(xn,xq)=sdtasdt0(xq,xn)|$false|$false|$false),inference(rw,[status(thm)],[10201,82,theory(equality)])).
% cnf(10203,plain,(sdtasdt0(xn,xq)=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[10202,theory(equality)])).
% cnf(10344,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xn,sdtasdt0(xq,X1))|~aInteger0(X1)|~aInteger0(xq)|~aInteger0(xn)),inference(spm,[status(thm)],[56,10203,theory(equality)])).
% cnf(10371,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xn,sdtasdt0(xq,X1))|~aInteger0(X1)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[10344,77,theory(equality)])).
% cnf(10372,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xn,sdtasdt0(xq,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[10371,82,theory(equality)])).
% cnf(10373,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xn,sdtasdt0(xq,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[10372,theory(equality)])).
% cnf(11162,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)|~aInteger0(sz10)),inference(spm,[status(thm)],[7370,31,theory(equality)])).
% cnf(11163,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)|$false),inference(rw,[status(thm)],[11162,103,theory(equality)])).
% cnf(11164,plain,(sdtasdt0(xq,smndt0(sz10))=smndt0(xq)),inference(cn,[status(thm)],[11163,theory(equality)])).
% cnf(11304,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aInteger0(sdtasdt0(X1,X3))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(csr,[status(thm)],[260,37])).
% cnf(11305,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(X2,X3)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(csr,[status(thm)],[11304,37])).
% cnf(14535,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sz10,sdtpldt0(sz00,sz10))|~aInteger0(sz10)|~aInteger0(sz00)),inference(spm,[status(thm)],[286,2065,theory(equality)])).
% cnf(14538,plain,(sdtpldt0(sdtasdt0(xq,xn),xn)=sdtasdt0(xn,sdtpldt0(xq,sz10))|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[286,10203,theory(equality)])).
% cnf(14542,plain,(sdtpldt0(sz00,xn)=sdtasdt0(xn,sdtpldt0(sz00,sz10))|~aInteger0(xn)|~aInteger0(sz00)),inference(spm,[status(thm)],[286,964,theory(equality)])).
% cnf(14659,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sz10,sdtpldt0(sz00,sz10))|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[14535,103,theory(equality)])).
% cnf(14660,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sz10,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[14659,28,theory(equality)])).
% cnf(14661,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sz10,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[14660,theory(equality)])).
% cnf(14666,plain,(sdtpldt0(sdtasdt0(xq,xn),xn)=sdtasdt0(xn,sdtpldt0(xq,sz10))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[14538,82,theory(equality)])).
% cnf(14667,plain,(sdtpldt0(sdtasdt0(xq,xn),xn)=sdtasdt0(xn,sdtpldt0(xq,sz10))|$false|$false),inference(rw,[status(thm)],[14666,77,theory(equality)])).
% cnf(14668,plain,(sdtpldt0(sdtasdt0(xq,xn),xn)=sdtasdt0(xn,sdtpldt0(xq,sz10))),inference(cn,[status(thm)],[14667,theory(equality)])).
% cnf(14676,plain,(sdtpldt0(sz00,xn)=sdtasdt0(xn,sdtpldt0(sz00,sz10))|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[14542,82,theory(equality)])).
% cnf(14677,plain,(sdtpldt0(sz00,xn)=sdtasdt0(xn,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[14676,28,theory(equality)])).
% cnf(14678,plain,(sdtpldt0(sz00,xn)=sdtasdt0(xn,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[14677,theory(equality)])).
% cnf(14827,plain,(sdtasdt0(xn,sdtpldt0(xq,sz10))=sdtpldt0(xn,sdtasdt0(xq,xn))|~aInteger0(xn)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[43,14668,theory(equality)])).
% cnf(14828,plain,(aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))|~aInteger0(xn)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[34,14668,theory(equality)])).
% cnf(14843,plain,(sdtasdt0(xn,sdtpldt0(xq,sz10))=sdtpldt0(xn,sdtasdt0(xq,xn))|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[14827,82,theory(equality)])).
% cnf(14844,plain,(sdtasdt0(xn,sdtpldt0(xq,sz10))=sdtpldt0(xn,sdtasdt0(xq,xn))|$false|$false),inference(rw,[status(thm)],[14843,404,theory(equality)])).
% cnf(14845,plain,(sdtasdt0(xn,sdtpldt0(xq,sz10))=sdtpldt0(xn,sdtasdt0(xq,xn))),inference(cn,[status(thm)],[14844,theory(equality)])).
% cnf(14846,plain,(aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[14828,82,theory(equality)])).
% cnf(14847,plain,(aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))|$false|$false),inference(rw,[status(thm)],[14846,404,theory(equality)])).
% cnf(14848,plain,(aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))),inference(cn,[status(thm)],[14847,theory(equality)])).
% cnf(14886,plain,(sdtpldt0(smndt0(xn),sdtasdt0(xn,sdtpldt0(xq,sz10)))=sdtpldt0(sz00,sdtasdt0(xq,xn))|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xn)),inference(spm,[status(thm)],[4241,14845,theory(equality)])).
% cnf(14907,plain,(sdtpldt0(smndt0(xn),sdtasdt0(xn,sdtpldt0(xq,sz10)))=sdtasdt0(xq,xn)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xn)),inference(rw,[status(thm)],[14886,5041,theory(equality)])).
% cnf(14908,plain,(sdtpldt0(smndt0(xn),sdtasdt0(xn,sdtpldt0(xq,sz10)))=sdtasdt0(xq,xn)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[14907,404,theory(equality)])).
% cnf(14909,plain,(sdtpldt0(smndt0(xn),sdtasdt0(xn,sdtpldt0(xq,sz10)))=sdtasdt0(xq,xn)|$false|$false),inference(rw,[status(thm)],[14908,82,theory(equality)])).
% cnf(14910,plain,(sdtpldt0(smndt0(xn),sdtasdt0(xn,sdtpldt0(xq,sz10)))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[14909,theory(equality)])).
% cnf(17494,plain,(sdtasdt0(xn,sz10)=sdtpldt0(sz00,xn)|~aInteger0(sz10)),inference(spm,[status(thm)],[14678,47,theory(equality)])).
% cnf(17555,plain,(sdtasdt0(xn,sz10)=sdtpldt0(sz00,xn)|$false),inference(rw,[status(thm)],[17494,103,theory(equality)])).
% cnf(17556,plain,(sdtasdt0(xn,sz10)=sdtpldt0(sz00,xn)),inference(cn,[status(thm)],[17555,theory(equality)])).
% cnf(17694,plain,(sdtasdt0(xn,sz10)=xn|~aInteger0(xn)),inference(spm,[status(thm)],[47,17556,theory(equality)])).
% cnf(17738,plain,(sdtasdt0(xn,sz10)=xn|$false),inference(rw,[status(thm)],[17694,82,theory(equality)])).
% cnf(17739,plain,(sdtasdt0(xn,sz10)=xn),inference(cn,[status(thm)],[17738,theory(equality)])).
% cnf(17768,plain,(aInteger0(sdtasdt0(X1,xn))|~aInteger0(sz10)|~aInteger0(xn)|~aInteger0(X1)),inference(spm,[status(thm)],[8180,17739,theory(equality)])).
% cnf(17841,plain,(aInteger0(sdtasdt0(X1,xn))|$false|~aInteger0(xn)|~aInteger0(X1)),inference(rw,[status(thm)],[17768,103,theory(equality)])).
% cnf(17842,plain,(aInteger0(sdtasdt0(X1,xn))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[17841,82,theory(equality)])).
% cnf(17843,plain,(aInteger0(sdtasdt0(X1,xn))|~aInteger0(X1)),inference(cn,[status(thm)],[17842,theory(equality)])).
% cnf(19524,plain,(aInteger0(smndt0(xn))|~aInteger0(smndt0(sz10))|~aInteger0(xn)),inference(spm,[status(thm)],[17843,92,theory(equality)])).
% cnf(19542,plain,(aInteger0(smndt0(xn))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[19524,82,theory(equality)])).
% cnf(19543,plain,(aInteger0(smndt0(xn))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[19542,theory(equality)])).
% cnf(23634,plain,(aInteger0(smndt0(xn))|~aInteger0(sz10)),inference(spm,[status(thm)],[19543,31,theory(equality)])).
% cnf(23635,plain,(aInteger0(smndt0(xn))|$false),inference(rw,[status(thm)],[23634,103,theory(equality)])).
% cnf(23636,plain,(aInteger0(smndt0(xn))),inference(cn,[status(thm)],[23635,theory(equality)])).
% cnf(25456,plain,(aInteger0(sdtasdt0(sdtpldt0(X1,X3),X2))|~aInteger0(sdtasdt0(X3,X2))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[298,37])).
% cnf(25457,plain,(aInteger0(sdtasdt0(sdtpldt0(X1,X3),X2))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[25456,37])).
% cnf(28298,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sdtpldt0(sz00,sz10),sz10)|~aInteger0(sz00)|~aInteger0(sz10)),inference(spm,[status(thm)],[321,1167,theory(equality)])).
% cnf(28340,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(sdtpldt0(sz00,sz10),smndt0(xn))|~aInteger0(sz00)|~aInteger0(smndt0(xn))),inference(spm,[status(thm)],[321,1605,theory(equality)])).
% cnf(28526,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sdtpldt0(sz00,sz10),sz10)|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[28298,28,theory(equality)])).
% cnf(28527,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sdtpldt0(sz00,sz10),sz10)|$false|$false),inference(rw,[status(thm)],[28526,103,theory(equality)])).
% cnf(28528,plain,(sdtpldt0(sz00,sz10)=sdtasdt0(sdtpldt0(sz00,sz10),sz10)),inference(cn,[status(thm)],[28527,theory(equality)])).
% cnf(28636,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(sdtpldt0(sz00,sz10),smndt0(xn))|$false|~aInteger0(smndt0(xn))),inference(rw,[status(thm)],[28340,28,theory(equality)])).
% cnf(28637,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(sdtpldt0(sz00,sz10),smndt0(xn))|$false|$false),inference(rw,[status(thm)],[28636,23636,theory(equality)])).
% cnf(28638,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(sdtpldt0(sz00,sz10),smndt0(xn))),inference(cn,[status(thm)],[28637,theory(equality)])).
% cnf(34471,plain,(sdtpldt0(sdtasdt0(smndt0(xn),sz00),sz00)=sdtasdt0(sdtasdt0(xq,xn),sz00)|~aInteger0(smndt0(xn))|~aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))),inference(spm,[status(thm)],[327,14910,theory(equality)])).
% cnf(34764,plain,(sdtpldt0(sdtasdt0(smndt0(xn),sz00),sz00)=sz00|~aInteger0(smndt0(xn))|~aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))),inference(rw,[status(thm)],[34471,705,theory(equality)])).
% cnf(34765,plain,(sdtpldt0(sdtasdt0(smndt0(xn),sz00),sz00)=sz00|$false|~aInteger0(sdtasdt0(xn,sdtpldt0(xq,sz10)))),inference(rw,[status(thm)],[34764,23636,theory(equality)])).
% cnf(34766,plain,(sdtpldt0(sdtasdt0(smndt0(xn),sz00),sz00)=sz00|$false|$false),inference(rw,[status(thm)],[34765,14848,theory(equality)])).
% cnf(34767,plain,(sdtpldt0(sdtasdt0(smndt0(xn),sz00),sz00)=sz00),inference(cn,[status(thm)],[34766,theory(equality)])).
% cnf(35969,plain,(sz00=sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz00))|~aInteger0(smndt0(xn))|~aInteger0(sz00)),inference(spm,[status(thm)],[288,34767,theory(equality)])).
% cnf(36022,plain,(sz00=sdtasdt0(smndt0(xn),sz00)|~aInteger0(smndt0(xn))|~aInteger0(sz00)),inference(rw,[status(thm)],[35969,435,theory(equality)])).
% cnf(36023,plain,(sz00=sdtasdt0(smndt0(xn),sz00)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[36022,23636,theory(equality)])).
% cnf(36024,plain,(sz00=sdtasdt0(smndt0(xn),sz00)|$false|$false),inference(rw,[status(thm)],[36023,28,theory(equality)])).
% cnf(36025,plain,(sz00=sdtasdt0(smndt0(xn),sz00)),inference(cn,[status(thm)],[36024,theory(equality)])).
% cnf(36053,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz10))|~aInteger0(smndt0(xn))|~aInteger0(sz00)),inference(spm,[status(thm)],[286,36025,theory(equality)])).
% cnf(36124,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz10))|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[36053,23636,theory(equality)])).
% cnf(36125,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[36124,28,theory(equality)])).
% cnf(36126,plain,(sdtpldt0(sz00,smndt0(xn))=sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[36125,theory(equality)])).
% cnf(61533,plain,(aInteger0(sdtpldt0(sz00,sz10))|~aInteger0(sz10)|~aInteger0(sz00)),inference(spm,[status(thm)],[11305,14661,theory(equality)])).
% cnf(61536,plain,(sdtasdt0(sz10,sz10)=sz10|~aInteger0(sz10)),inference(spm,[status(thm)],[14661,47,theory(equality)])).
% cnf(61638,plain,(aInteger0(sdtpldt0(sz00,sz10))|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[61533,103,theory(equality)])).
% cnf(61639,plain,(aInteger0(sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[61638,28,theory(equality)])).
% cnf(61640,plain,(aInteger0(sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[61639,theory(equality)])).
% cnf(61641,plain,(sdtasdt0(sz10,sz10)=sz10|$false),inference(rw,[status(thm)],[61536,103,theory(equality)])).
% cnf(61642,plain,(sdtasdt0(sz10,sz10)=sz10),inference(cn,[status(thm)],[61641,theory(equality)])).
% cnf(61674,plain,(aInteger0(sdtasdt0(X1,sz10))|~aInteger0(sz10)|~aInteger0(X1)),inference(spm,[status(thm)],[8180,61642,theory(equality)])).
% cnf(61766,plain,(aInteger0(sdtasdt0(X1,sz10))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[61674,103,theory(equality)])).
% cnf(61767,plain,(aInteger0(sdtasdt0(X1,sz10))|~aInteger0(X1)),inference(cn,[status(thm)],[61766,theory(equality)])).
% cnf(66005,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))|~aInteger0(sz10)|~aInteger0(sdtpldt0(sz00,sz10))|~aInteger0(X1)),inference(spm,[status(thm)],[8180,28528,theory(equality)])).
% cnf(66134,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))|$false|~aInteger0(sdtpldt0(sz00,sz10))|~aInteger0(X1)),inference(rw,[status(thm)],[66005,103,theory(equality)])).
% cnf(66135,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[66134,61640,theory(equality)])).
% cnf(66136,plain,(aInteger0(sdtasdt0(X1,sdtpldt0(sz00,sz10)))|~aInteger0(X1)),inference(cn,[status(thm)],[66135,theory(equality)])).
% cnf(66265,plain,(sdtasdt0(sz10,smndt0(xn))=sdtpldt0(sz00,smndt0(xn))|~aInteger0(sz10)),inference(spm,[status(thm)],[28638,47,theory(equality)])).
% cnf(66424,plain,(sdtasdt0(sz10,smndt0(xn))=sdtpldt0(sz00,smndt0(xn))|$false),inference(rw,[status(thm)],[66265,103,theory(equality)])).
% cnf(66425,plain,(sdtasdt0(sz10,smndt0(xn))=sdtpldt0(sz00,smndt0(xn))),inference(cn,[status(thm)],[66424,theory(equality)])).
% cnf(66442,plain,(sdtasdt0(sz10,smndt0(xn))=smndt0(xn)|~aInteger0(smndt0(xn))),inference(spm,[status(thm)],[47,66425,theory(equality)])).
% cnf(66505,plain,(sdtasdt0(sz10,smndt0(xn))=smndt0(xn)|$false),inference(rw,[status(thm)],[66442,23636,theory(equality)])).
% cnf(66506,plain,(sdtasdt0(sz10,smndt0(xn))=smndt0(xn)),inference(cn,[status(thm)],[66505,theory(equality)])).
% cnf(66975,plain,(sdtpldt0(sz00,smndt0(xn))=smndt0(xn)),inference(rw,[status(thm)],[66425,66506,theory(equality)])).
% cnf(67148,plain,(aInteger0(sdtasdt0(smndt0(xn),X1))|~aInteger0(sz00)|~aInteger0(smndt0(xn))|~aInteger0(X1)),inference(spm,[status(thm)],[25457,66975,theory(equality)])).
% cnf(67190,plain,(aInteger0(sdtasdt0(smndt0(xn),X1))|$false|~aInteger0(smndt0(xn))|~aInteger0(X1)),inference(rw,[status(thm)],[67148,28,theory(equality)])).
% cnf(67191,plain,(aInteger0(sdtasdt0(smndt0(xn),X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[67190,23636,theory(equality)])).
% cnf(67192,plain,(aInteger0(sdtasdt0(smndt0(xn),X1))|~aInteger0(X1)),inference(cn,[status(thm)],[67191,theory(equality)])).
% cnf(69416,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|~aInteger0(xq)|~aInteger0(smndt0(xn))),inference(spm,[status(thm)],[67192,6966,theory(equality)])).
% cnf(69434,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|$false|~aInteger0(smndt0(xn))),inference(rw,[status(thm)],[69416,77,theory(equality)])).
% cnf(69435,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|$false|$false),inference(rw,[status(thm)],[69434,23636,theory(equality)])).
% cnf(69436,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(cn,[status(thm)],[69435,theory(equality)])).
% cnf(72499,plain,(sdtasdt0(smndt0(xn),sdtpldt0(sz00,sz10))=smndt0(xn)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[36126,66425,theory(equality)]),66506,theory(equality)])).
% cnf(72555,plain,(sdtasdt0(smndt0(xn),sz10)=smndt0(xn)|~aInteger0(sz10)),inference(spm,[status(thm)],[72499,47,theory(equality)])).
% cnf(72734,plain,(sdtasdt0(smndt0(xn),sz10)=smndt0(xn)|$false),inference(rw,[status(thm)],[72555,103,theory(equality)])).
% cnf(72735,plain,(sdtasdt0(smndt0(xn),sz10)=smndt0(xn)),inference(cn,[status(thm)],[72734,theory(equality)])).
% cnf(124033,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(sdtpldt0(sz00,sz10))),inference(spm,[status(thm)],[66136,92,theory(equality)])).
% cnf(124102,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[124033,61640,theory(equality)])).
% cnf(124103,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[124102,theory(equality)])).
% cnf(157039,plain,(sdtasdt0(sz00,sdtasdt0(smndt0(xn),X1))=sdtasdt0(sz00,X1)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[1637,23636,theory(equality)])).
% cnf(157040,plain,(sdtasdt0(sz00,sdtasdt0(smndt0(xn),X1))=sdtasdt0(sz00,X1)|~aInteger0(X1)),inference(cn,[status(thm)],[157039,theory(equality)])).
% cnf(159722,plain,(sdtasdt0(xn,sdtasdt0(xq,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[91,10373,theory(equality)])).
% cnf(160107,plain,(sdtasdt0(xn,smndt0(xq))=smndt0(sdtasdt0(xq,xn))|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[159722,11164,theory(equality)])).
% cnf(160108,plain,(sdtasdt0(xn,smndt0(xq))=smndt0(sdtasdt0(xq,xn))|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[160107,404,theory(equality)])).
% cnf(160109,plain,(sdtasdt0(xn,smndt0(xq))=smndt0(sdtasdt0(xq,xn))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[160108,theory(equality)])).
% cnf(168330,plain,(smndt0(sdtasdt0(xq,xn))=sdtasdt0(xn,smndt0(xq))|~aInteger0(sz10)),inference(spm,[status(thm)],[160109,31,theory(equality)])).
% cnf(168331,plain,(smndt0(sdtasdt0(xq,xn))=sdtasdt0(xn,smndt0(xq))|$false),inference(rw,[status(thm)],[168330,103,theory(equality)])).
% cnf(168332,plain,(smndt0(sdtasdt0(xq,xn))=sdtasdt0(xn,smndt0(xq))),inference(cn,[status(thm)],[168331,theory(equality)])).
% cnf(216879,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))|~aInteger0(sz10)),inference(spm,[status(thm)],[124103,31,theory(equality)])).
% cnf(216880,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))|$false),inference(rw,[status(thm)],[216879,103,theory(equality)])).
% cnf(216881,plain,(aInteger0(smndt0(sdtpldt0(sz00,sz10)))),inference(cn,[status(thm)],[216880,theory(equality)])).
% cnf(217440,plain,(aInteger0(smndt0(sz10))|~aInteger0(sz10)),inference(spm,[status(thm)],[216881,47,theory(equality)])).
% cnf(217442,plain,(aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[217440,103,theory(equality)])).
% cnf(217443,plain,(aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[217442,theory(equality)])).
% cnf(217464,plain,(sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))=sdtasdt0(smndt0(X1),X2)|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[243,217443,theory(equality)])).
% cnf(217465,plain,(sdtasdt0(X1,sdtasdt0(smndt0(sz10),X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[217464,theory(equality)])).
% cnf(217466,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[240,217443,theory(equality)])).
% cnf(217467,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(X1,X2))=sdtasdt0(smndt0(X1),X2)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[217466,theory(equality)])).
% cnf(220097,plain,(sdtasdt0(X1,sdtasdt0(xq,smndt0(sz10)))=sdtasdt0(smndt0(X1),xq)|~aInteger0(xq)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[217465,6966,theory(equality)])).
% cnf(220619,plain,(sdtasdt0(X1,smndt0(xq))=sdtasdt0(smndt0(X1),xq)|~aInteger0(xq)|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[220097,11164,theory(equality)])).
% cnf(220620,plain,(sdtasdt0(X1,smndt0(xq))=sdtasdt0(smndt0(X1),xq)|$false|~aInteger0(X1)|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[220619,77,theory(equality)])).
% cnf(220621,plain,(sdtasdt0(X1,smndt0(xq))=sdtasdt0(smndt0(X1),xq)|$false|~aInteger0(X1)|$false),inference(rw,[status(thm)],[220620,217443,theory(equality)])).
% cnf(220622,plain,(sdtasdt0(X1,smndt0(xq))=sdtasdt0(smndt0(X1),xq)|~aInteger0(X1)),inference(cn,[status(thm)],[220621,theory(equality)])).
% cnf(221642,plain,(sdtasdt0(smndt0(sz10),xn)=sdtasdt0(smndt0(xn),sz10)|~aInteger0(sz10)|~aInteger0(xn)),inference(spm,[status(thm)],[217467,17739,theory(equality)])).
% cnf(221643,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))=sdtasdt0(smndt0(xn),xq)|~aInteger0(xq)|~aInteger0(xn)),inference(spm,[status(thm)],[217467,10203,theory(equality)])).
% cnf(222479,plain,(sdtasdt0(smndt0(sz10),xn)=smndt0(xn)|~aInteger0(sz10)|~aInteger0(xn)),inference(rw,[status(thm)],[221642,72735,theory(equality)])).
% cnf(222480,plain,(sdtasdt0(smndt0(sz10),xn)=smndt0(xn)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[222479,103,theory(equality)])).
% cnf(222481,plain,(sdtasdt0(smndt0(sz10),xn)=smndt0(xn)|$false|$false),inference(rw,[status(thm)],[222480,82,theory(equality)])).
% cnf(222482,plain,(sdtasdt0(smndt0(sz10),xn)=smndt0(xn)),inference(cn,[status(thm)],[222481,theory(equality)])).
% cnf(222483,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))=sdtasdt0(smndt0(xn),xq)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[221643,77,theory(equality)])).
% cnf(222484,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))=sdtasdt0(smndt0(xn),xq)|$false|$false),inference(rw,[status(thm)],[222483,82,theory(equality)])).
% cnf(222485,plain,(sdtasdt0(smndt0(sz10),sdtasdt0(xq,xn))=sdtasdt0(smndt0(xn),xq)),inference(cn,[status(thm)],[222484,theory(equality)])).
% cnf(226699,plain,(sdtasdt0(xn,smndt0(sz10))=smndt0(xn)|~aInteger0(smndt0(sz10))|~aInteger0(xn)),inference(spm,[status(thm)],[59,222482,theory(equality)])).
% cnf(226764,plain,(sdtasdt0(xn,smndt0(sz10))=smndt0(xn)|$false|~aInteger0(xn)),inference(rw,[status(thm)],[226699,217443,theory(equality)])).
% cnf(226765,plain,(sdtasdt0(xn,smndt0(sz10))=smndt0(xn)|$false|$false),inference(rw,[status(thm)],[226764,82,theory(equality)])).
% cnf(226766,plain,(sdtasdt0(xn,smndt0(sz10))=smndt0(xn)),inference(cn,[status(thm)],[226765,theory(equality)])).
% cnf(254316,plain,(sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X2,sdtasdt0(X1,sz10)))=sdtasdt0(sdtpldt0(xq,X2),sdtasdt0(X1,sz10))|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[2164,61767])).
% cnf(254435,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sdtasdt0(sz00,sz10))=sdtasdt0(sdtpldt0(xq,sz00),sdtasdt0(smndt0(xn),sz10))|~aInteger0(sz00)|~aInteger0(smndt0(xn))|~aInteger0(sz10)),inference(spm,[status(thm)],[254316,157040,theory(equality)])).
% cnf(254855,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(sdtpldt0(xq,sz00),sdtasdt0(smndt0(xn),sz10))|~aInteger0(sz00)|~aInteger0(smndt0(xn))|~aInteger0(sz10)),inference(rw,[status(thm)],[254435,1167,theory(equality)])).
% cnf(254856,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|~aInteger0(sz00)|~aInteger0(smndt0(xn))|~aInteger0(sz10)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[254855,2335,theory(equality)]),72735,theory(equality)])).
% cnf(254857,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|$false|~aInteger0(smndt0(xn))|~aInteger0(sz10)),inference(rw,[status(thm)],[254856,28,theory(equality)])).
% cnf(254858,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|$false|$false|~aInteger0(sz10)),inference(rw,[status(thm)],[254857,23636,theory(equality)])).
% cnf(254859,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|$false|$false|$false),inference(rw,[status(thm)],[254858,103,theory(equality)])).
% cnf(254860,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))),inference(cn,[status(thm)],[254859,theory(equality)])).
% cnf(255046,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[6765,222485,theory(equality)])).
% cnf(255252,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,smndt0(xn))|~aInteger0(smndt0(sz10))|~aInteger0(xn)|~aInteger0(xq)),inference(rw,[status(thm)],[255046,226766,theory(equality)])).
% cnf(255253,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,smndt0(xn))|$false|~aInteger0(xn)|~aInteger0(xq)),inference(rw,[status(thm)],[255252,217443,theory(equality)])).
% cnf(255254,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,smndt0(xn))|$false|$false|~aInteger0(xq)),inference(rw,[status(thm)],[255253,82,theory(equality)])).
% cnf(255255,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,smndt0(xn))|$false|$false|$false),inference(rw,[status(thm)],[255254,77,theory(equality)])).
% cnf(255256,plain,(sdtasdt0(smndt0(xn),xq)=sdtasdt0(xq,smndt0(xn))),inference(cn,[status(thm)],[255255,theory(equality)])).
% cnf(255423,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xn,smndt0(xq))|~aInteger0(xn)),inference(spm,[status(thm)],[220622,255256,theory(equality)])).
% cnf(255667,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xn,smndt0(xq))|$false),inference(rw,[status(thm)],[255423,82,theory(equality)])).
% cnf(255668,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xn,smndt0(xq))),inference(cn,[status(thm)],[255667,theory(equality)])).
% cnf(477124,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[2918,31])).
% cnf(530904,plain,(sdtpldt0(X2,sdtpldt0(X1,smndt0(X2)))=sdtpldt0(X1,sz00)|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[2942,31])).
% cnf(531174,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|~aInteger0(xb)|~aInteger0(xa)),inference(spm,[status(thm)],[530904,81,theory(equality)])).
% cnf(531684,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|$false|~aInteger0(xa)),inference(rw,[status(thm)],[531174,78,theory(equality)])).
% cnf(531685,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|$false|$false),inference(rw,[status(thm)],[531684,79,theory(equality)])).
% cnf(531686,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)),inference(cn,[status(thm)],[531685,theory(equality)])).
% cnf(532576,plain,(sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00))=sdtpldt0(sz00,sdtasdt0(xq,xn))|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(spm,[status(thm)],[4241,531686,theory(equality)])).
% cnf(532645,plain,(sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00))=sdtasdt0(xq,xn)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(rw,[status(thm)],[532576,5041,theory(equality)])).
% cnf(532646,plain,(sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00))=sdtasdt0(xq,xn)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[532645,404,theory(equality)])).
% cnf(532647,plain,(sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00))=sdtasdt0(xq,xn)|$false|$false),inference(rw,[status(thm)],[532646,78,theory(equality)])).
% cnf(532648,plain,(sdtpldt0(smndt0(xb),sdtpldt0(xa,sz00))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[532647,theory(equality)])).
% cnf(532910,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)|~aInteger0(xa)),inference(spm,[status(thm)],[532648,48,theory(equality)])).
% cnf(533029,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)|$false),inference(rw,[status(thm)],[532910,79,theory(equality)])).
% cnf(533030,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[533029,theory(equality)])).
% cnf(533091,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)|~aInteger0(xa)|~aInteger0(xb)),inference(spm,[status(thm)],[4702,533030,theory(equality)])).
% cnf(533228,plain,(sdtpldt0(xa,sz00)=sdtpldt0(sz00,xa)|~aInteger0(xa)|~aInteger0(xb)),inference(rw,[status(thm)],[533091,531686,theory(equality)])).
% cnf(533229,plain,(sdtpldt0(xa,sz00)=sdtpldt0(sz00,xa)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[533228,79,theory(equality)])).
% cnf(533230,plain,(sdtpldt0(xa,sz00)=sdtpldt0(sz00,xa)|$false|$false),inference(rw,[status(thm)],[533229,78,theory(equality)])).
% cnf(533231,plain,(sdtpldt0(xa,sz00)=sdtpldt0(sz00,xa)),inference(cn,[status(thm)],[533230,theory(equality)])).
% cnf(533927,plain,(sdtpldt0(sz00,xa)=xa|~aInteger0(xa)),inference(spm,[status(thm)],[48,533231,theory(equality)])).
% cnf(533948,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)),inference(rw,[status(thm)],[531686,533231,theory(equality)])).
% cnf(534114,plain,(sdtpldt0(sz00,xa)=xa|$false),inference(rw,[status(thm)],[533927,79,theory(equality)])).
% cnf(534115,plain,(sdtpldt0(sz00,xa)=xa),inference(cn,[status(thm)],[534114,theory(equality)])).
% cnf(535891,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=xa),inference(rw,[status(thm)],[533948,534115,theory(equality)])).
% cnf(535913,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(spm,[status(thm)],[3032,535891,theory(equality)])).
% cnf(536023,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(rw,[status(thm)],[535913,534115,theory(equality)])).
% cnf(536024,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[536023,404,theory(equality)])).
% cnf(536025,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|$false),inference(rw,[status(thm)],[536024,78,theory(equality)])).
% cnf(536026,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)),inference(cn,[status(thm)],[536025,theory(equality)])).
% cnf(537334,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[4241,536026,theory(equality)])).
% cnf(537348,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[477124,536026,theory(equality)])).
% cnf(537411,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[537334,168332,theory(equality)]),255668,theory(equality)])).
% cnf(537412,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[537411,78,theory(equality)])).
% cnf(537413,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|$false|$false),inference(rw,[status(thm)],[537412,404,theory(equality)])).
% cnf(537414,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)),inference(cn,[status(thm)],[537413,theory(equality)])).
% cnf(537455,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[537348,168332,theory(equality)]),255668,theory(equality)])).
% cnf(537456,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[537455,78,theory(equality)])).
% cnf(537457,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|$false|$false),inference(rw,[status(thm)],[537456,404,theory(equality)])).
% cnf(537458,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)),inference(cn,[status(thm)],[537457,theory(equality)])).
% cnf(552182,plain,(sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))=sdtpldt0(X1,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[2952,31])).
% cnf(571509,plain,(sdtpldt0(sz00,xb)=sdtpldt0(xb,sz00)),inference(rw,[status(thm)],[537458,537414,theory(equality)])).
% cnf(571570,plain,(sdtpldt0(sz00,xb)=xb|~aInteger0(xb)),inference(spm,[status(thm)],[48,571509,theory(equality)])).
% cnf(571781,plain,(sdtpldt0(sz00,xb)=xb|$false),inference(rw,[status(thm)],[571570,78,theory(equality)])).
% cnf(571782,plain,(sdtpldt0(sz00,xb)=xb),inference(cn,[status(thm)],[571781,theory(equality)])).
% cnf(571915,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=xb),inference(rw,[status(thm)],[537414,571782,theory(equality)])).
% cnf(572807,plain,(sdtpldt0(smndt0(xa),xb)=sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)|~aInteger0(xa)|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(spm,[status(thm)],[552182,571915,theory(equality)])).
% cnf(572952,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|~aInteger0(xa)|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(rw,[status(thm)],[572807,254860,theory(equality)])).
% cnf(572953,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|$false|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(rw,[status(thm)],[572952,79,theory(equality)])).
% cnf(572954,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|$false|$false),inference(rw,[status(thm)],[572953,69436,theory(equality)])).
% cnf(572955,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))),inference(cn,[status(thm)],[572954,theory(equality)])).
% cnf(578106,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|~aInteger0(xb)|~aInteger0(smndt0(xa))),inference(spm,[status(thm)],[43,572955,theory(equality)])).
% cnf(578174,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|$false|~aInteger0(smndt0(xa))),inference(rw,[status(thm)],[578106,78,theory(equality)])).
% cnf(578175,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|~aInteger0(smndt0(xa))),inference(cn,[status(thm)],[578174,theory(equality)])).
% cnf(578176,plain,(~aInteger0(smndt0(xa))),inference(sr,[status(thm)],[578175,111,theory(equality)])).
% cnf(578675,plain,(~aInteger0(xa)),inference(spm,[status(thm)],[578176,31,theory(equality)])).
% cnf(578676,plain,($false),inference(rw,[status(thm)],[578675,79,theory(equality)])).
% cnf(578677,plain,($false),inference(cn,[status(thm)],[578676,theory(equality)])).
% cnf(578678,plain,($false),578677,['proof']).
% # SZS output end CNFRefutation
% PrfWatch: 14.45 CPU 16.11 WC
% # Processed clauses : 4886
% # ...of these trivial : 1078
% # ...subsumed : 1479
% # ...remaining for further processing: 2329
% # Other redundant clauses eliminated : 8
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 344
% # Generated clauses : 182751
% # ...of the previous two non-trivial : 156556
% # Contextual simplify-reflections : 278
% # Paramodulations : 182720
% # Factorizations : 0
% # Equation resolutions : 31
% # Current number of processed clauses: 1944
% # Positive orientable unit clauses: 1219
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 720
% # Current number of unprocessed clauses: 138386
% # ...number of literals in the above : 478098
% # Clause-clause subsumption calls (NU) : 29821
% # Rec. Clause-clause subsumption calls : 24103
% # Unit Clause-clause subsumption calls : 739
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 3825
% # Indexed BW rewrite successes : 150
% # Backwards rewriting index: 1681 leaves, 1.61+/-1.920 terms/leaf
% # Paramod-from index: 1064 leaves, 1.68+/-2.186 terms/leaf
% # Paramod-into index: 1519 leaves, 1.63+/-1.968 terms/leaf
% # -------------------------------------------------
% # User time : 6.806 s
% # System time : 0.318 s
% # Total time : 7.124 s
% # Maximum resident set size: 0 pages
% PrfWatch: 14.49 CPU 16.16 WC
% FINAL PrfWatch: 14.49 CPU 16.16 WC
% SZS output end Solution for /tmp/SystemOnTPTP30939/NUM426+1.tptp
%
%------------------------------------------------------------------------------