TSTP Solution File: NUM431+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM431+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 19:02:44 EST 2010
% Result : Theorem 31.15s
% Output : Solution 31.15s
% 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/SystemOnTPTP29644/NUM431+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29644/NUM431+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29644/NUM431+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 29776
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.95 CPU 2.04 WC
% PrfWatch: 3.95 CPU 4.05 WC
% PrfWatch: 5.95 CPU 6.06 WC
% PrfWatch: 7.95 CPU 8.08 WC
% PrfWatch: 9.95 CPU 10.09 WC
% PrfWatch: 11.94 CPU 12.10 WC
% PrfWatch: 13.95 CPU 14.11 WC
% # Preprocessing time : 0.012 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 15.94 CPU 16.13 WC
% PrfWatch: 17.93 CPU 18.14 WC
% PrfWatch: 19.93 CPU 20.15 WC
% PrfWatch: 21.92 CPU 22.16 WC
% PrfWatch: 23.93 CPU 24.18 WC
% PrfWatch: 25.92 CPU 26.19 WC
% PrfWatch: 27.92 CPU 28.20 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(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(16, axiom,((((aInteger0(xa)&aInteger0(xb))&aInteger0(xq))&~(xq=sz00))&aInteger0(xc)),file('/tmp/SRASS.s.p', m__818)).
% fof(17, axiom,(sdteqdtlpzmzozddtrp0(xa,xb,xq)&sdteqdtlpzmzozddtrp0(xb,xc,xq)),file('/tmp/SRASS.s.p', m__853)).
% fof(18, axiom,(aInteger0(xn)&sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),file('/tmp/SRASS.s.p', m__876)).
% fof(19, axiom,(aInteger0(xm)&sdtasdt0(xq,xm)=sdtpldt0(xb,smndt0(xc))),file('/tmp/SRASS.s.p', m__899)).
% fof(20, 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(21, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMinOne)).
% fof(22, 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(23, axiom,aInteger0(sz10),file('/tmp/SRASS.s.p', mIntOne)).
% fof(26, conjecture,sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc)),file('/tmp/SRASS.s.p', m__)).
% fof(27, negated_conjecture,~(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))),inference(assume_negation,[status(cth)],[26])).
% fof(29, negated_conjecture,~(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))),inference(fof_simplification,[status(thm)],[27,theory(equality)])).
% cnf(30,plain,(aInteger0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(31, plain,![X1]:(~(aInteger0(X1))|aInteger0(smndt0(X1))),inference(fof_nnf,[status(thm)],[2])).
% fof(32, plain,![X2]:(~(aInteger0(X2))|aInteger0(smndt0(X2))),inference(variable_rename,[status(thm)],[31])).
% cnf(33,plain,(aInteger0(smndt0(X1))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[32])).
% fof(34, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(35, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[34])).
% cnf(36,plain,(aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[35])).
% fof(37, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|aInteger0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(38, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|aInteger0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[37])).
% cnf(39,plain,(aInteger0(sdtasdt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[38])).
% fof(40, 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(41, 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)],[40])).
% cnf(42,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtpldt0(X1,X2),X3)|~aInteger0(X3)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[41])).
% fof(43, plain,![X1]:![X2]:((~(aInteger0(X1))|~(aInteger0(X2)))|sdtpldt0(X1,X2)=sdtpldt0(X2,X1)),inference(fof_nnf,[status(thm)],[6])).
% fof(44, plain,![X3]:![X4]:((~(aInteger0(X3))|~(aInteger0(X4)))|sdtpldt0(X3,X4)=sdtpldt0(X4,X3)),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(46, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(47, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[46])).
% fof(48, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aInteger0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[47])).
% cnf(49,plain,(X1=sdtpldt0(sz00,X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(sdtpldt0(X1,sz00)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(51, plain,![X1]:(~(aInteger0(X1))|(sdtpldt0(X1,smndt0(X1))=sz00&sz00=sdtpldt0(smndt0(X1),X1))),inference(fof_nnf,[status(thm)],[8])).
% fof(52, plain,![X2]:(~(aInteger0(X2))|(sdtpldt0(X2,smndt0(X2))=sz00&sz00=sdtpldt0(smndt0(X2),X2))),inference(variable_rename,[status(thm)],[51])).
% fof(53, plain,![X2]:((sdtpldt0(X2,smndt0(X2))=sz00|~(aInteger0(X2)))&(sz00=sdtpldt0(smndt0(X2),X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[52])).
% cnf(54,plain,(sz00=sdtpldt0(smndt0(X1),X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[53])).
% cnf(55,plain,(sdtpldt0(X1,smndt0(X1))=sz00|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(62, 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(63, 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)],[62])).
% fof(64, 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)],[63])).
% cnf(65,plain,(sdtasdt0(sdtpldt0(X3,X2),X1)=sdtpldt0(sdtasdt0(X3,X1),sdtasdt0(X2,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)),inference(split_conjunct,[status(thm)],[64])).
% cnf(81,plain,(aInteger0(xc)),inference(split_conjunct,[status(thm)],[16])).
% cnf(82,plain,(xq!=sz00),inference(split_conjunct,[status(thm)],[16])).
% cnf(83,plain,(aInteger0(xq)),inference(split_conjunct,[status(thm)],[16])).
% cnf(84,plain,(aInteger0(xb)),inference(split_conjunct,[status(thm)],[16])).
% cnf(85,plain,(aInteger0(xa)),inference(split_conjunct,[status(thm)],[16])).
% cnf(86,plain,(sdteqdtlpzmzozddtrp0(xb,xc,xq)),inference(split_conjunct,[status(thm)],[17])).
% cnf(87,plain,(sdteqdtlpzmzozddtrp0(xa,xb,xq)),inference(split_conjunct,[status(thm)],[17])).
% cnf(88,plain,(sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),inference(split_conjunct,[status(thm)],[18])).
% cnf(89,plain,(aInteger0(xn)),inference(split_conjunct,[status(thm)],[18])).
% cnf(90,plain,(sdtasdt0(xq,xm)=sdtpldt0(xb,smndt0(xc))),inference(split_conjunct,[status(thm)],[19])).
% cnf(91,plain,(aInteger0(xm)),inference(split_conjunct,[status(thm)],[19])).
% fof(92, 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)],[20])).
% fof(93, 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)],[92])).
% fof(94, 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)],[93])).
% cnf(96,plain,(X1=sz00|aDivisorOf0(X1,sdtpldt0(X3,smndt0(X2)))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(X3)|~sdteqdtlpzmzozddtrp0(X3,X2,X1)),inference(split_conjunct,[status(thm)],[94])).
% fof(97, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[21])).
% fof(98, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[97])).
% fof(99, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aInteger0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aInteger0(X2)))),inference(distribute,[status(thm)],[98])).
% cnf(100,plain,(smndt0(X1)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[99])).
% fof(102, 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)],[22])).
% fof(103, 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)],[102])).
% fof(104, 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)],[103])).
% fof(105, 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)],[104])).
% fof(106, 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)],[105])).
% cnf(107,plain,(sdtasdt0(X2,esk1_2(X1,X2))=X1|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(108,plain,(aInteger0(esk1_2(X1,X2))|~aInteger0(X1)|~aDivisorOf0(X2,X1)),inference(split_conjunct,[status(thm)],[106])).
% cnf(112,plain,(aInteger0(sz10)),inference(split_conjunct,[status(thm)],[23])).
% cnf(120,negated_conjecture,(sdtasdt0(xq,sdtpldt0(xn,xm))!=sdtpldt0(xa,smndt0(xc))),inference(split_conjunct,[status(thm)],[29])).
% cnf(121,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|~aInteger0(sz00)),inference(spm,[status(thm)],[49,55,theory(equality)])).
% cnf(122,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))|$false),inference(rw,[status(thm)],[121,30,theory(equality)])).
% cnf(123,plain,(sz00=smndt0(sz00)|~aInteger0(smndt0(sz00))),inference(cn,[status(thm)],[122,theory(equality)])).
% cnf(224,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X3)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[45,42,theory(equality)])).
% cnf(230,plain,(sdtpldt0(sz00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[42,54,theory(equality)])).
% cnf(231,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[42,49,theory(equality)])).
% cnf(242,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[231,30,theory(equality)])).
% cnf(243,plain,(sdtpldt0(X1,X2)=sdtpldt0(sz00,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[242,theory(equality)])).
% cnf(330,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)],[36,65,theory(equality)])).
% cnf(384,plain,(sz00=xq|aDivisorOf0(xq,sdtpldt0(xb,smndt0(xc)))|~aInteger0(xb)|~aInteger0(xc)|~aInteger0(xq)),inference(spm,[status(thm)],[96,86,theory(equality)])).
% cnf(385,plain,(sz00=xq|aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))|~aInteger0(xa)|~aInteger0(xb)|~aInteger0(xq)),inference(spm,[status(thm)],[96,87,theory(equality)])).
% cnf(387,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xm))|~aInteger0(xb)|~aInteger0(xc)|~aInteger0(xq)),inference(rw,[status(thm)],[384,90,theory(equality)])).
% cnf(388,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xm))|$false|~aInteger0(xc)|~aInteger0(xq)),inference(rw,[status(thm)],[387,84,theory(equality)])).
% cnf(389,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xm))|$false|$false|~aInteger0(xq)),inference(rw,[status(thm)],[388,81,theory(equality)])).
% cnf(390,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xm))|$false|$false|$false),inference(rw,[status(thm)],[389,83,theory(equality)])).
% cnf(391,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xm))),inference(cn,[status(thm)],[390,theory(equality)])).
% cnf(392,plain,(aDivisorOf0(xq,sdtasdt0(xq,xm))),inference(sr,[status(thm)],[391,82,theory(equality)])).
% cnf(393,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|~aInteger0(xa)|~aInteger0(xb)|~aInteger0(xq)),inference(rw,[status(thm)],[385,88,theory(equality)])).
% cnf(394,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|~aInteger0(xb)|~aInteger0(xq)),inference(rw,[status(thm)],[393,85,theory(equality)])).
% cnf(395,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|$false|~aInteger0(xq)),inference(rw,[status(thm)],[394,84,theory(equality)])).
% cnf(396,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))|$false|$false|$false),inference(rw,[status(thm)],[395,83,theory(equality)])).
% cnf(397,plain,(sz00=xq|aDivisorOf0(xq,sdtasdt0(xq,xn))),inference(cn,[status(thm)],[396,theory(equality)])).
% cnf(398,plain,(aDivisorOf0(xq,sdtasdt0(xq,xn))),inference(sr,[status(thm)],[397,82,theory(equality)])).
% cnf(412,plain,(aInteger0(esk1_2(sdtasdt0(xq,xm),xq))|~aInteger0(sdtasdt0(xq,xm))),inference(spm,[status(thm)],[108,392,theory(equality)])).
% cnf(414,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq))=sdtasdt0(xq,xm)|~aInteger0(sdtasdt0(xq,xm))),inference(spm,[status(thm)],[107,392,theory(equality)])).
% cnf(416,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[108,398,theory(equality)])).
% cnf(418,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[107,398,theory(equality)])).
% cnf(432,plain,(smndt0(sz00)=sz00|~aInteger0(sz00)),inference(spm,[status(thm)],[123,33,theory(equality)])).
% cnf(433,plain,(smndt0(sz00)=sz00|$false),inference(rw,[status(thm)],[432,30,theory(equality)])).
% cnf(434,plain,(smndt0(sz00)=sz00),inference(cn,[status(thm)],[433,theory(equality)])).
% cnf(503,plain,(aInteger0(esk1_2(sdtasdt0(xq,xm),xq))|~aInteger0(xm)|~aInteger0(xq)),inference(spm,[status(thm)],[412,39,theory(equality)])).
% cnf(504,plain,(aInteger0(esk1_2(sdtasdt0(xq,xm),xq))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[503,91,theory(equality)])).
% cnf(505,plain,(aInteger0(esk1_2(sdtasdt0(xq,xm),xq))|$false|$false),inference(rw,[status(thm)],[504,83,theory(equality)])).
% cnf(506,plain,(aInteger0(esk1_2(sdtasdt0(xq,xm),xq))),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(508,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[416,39,theory(equality)])).
% cnf(509,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[508,89,theory(equality)])).
% cnf(510,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|$false|$false),inference(rw,[status(thm)],[509,83,theory(equality)])).
% cnf(511,plain,(aInteger0(esk1_2(sdtasdt0(xq,xn),xq))),inference(cn,[status(thm)],[510,theory(equality)])).
% cnf(515,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq))=sdtasdt0(xq,xm)|~aInteger0(xm)|~aInteger0(xq)),inference(spm,[status(thm)],[414,39,theory(equality)])).
% cnf(516,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq))=sdtasdt0(xq,xm)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[515,91,theory(equality)])).
% cnf(517,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq))=sdtasdt0(xq,xm)|$false|$false),inference(rw,[status(thm)],[516,83,theory(equality)])).
% cnf(518,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xm),xq))=sdtasdt0(xq,xm)),inference(cn,[status(thm)],[517,theory(equality)])).
% cnf(520,plain,(aInteger0(sdtasdt0(xq,xm))|~aInteger0(esk1_2(sdtasdt0(xq,xm),xq))|~aInteger0(xq)),inference(spm,[status(thm)],[39,518,theory(equality)])).
% cnf(532,plain,(aInteger0(sdtasdt0(xq,xm))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[520,506,theory(equality)])).
% cnf(533,plain,(aInteger0(sdtasdt0(xq,xm))|$false|$false),inference(rw,[status(thm)],[532,83,theory(equality)])).
% cnf(534,plain,(aInteger0(sdtasdt0(xq,xm))),inference(cn,[status(thm)],[533,theory(equality)])).
% cnf(559,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[418,39,theory(equality)])).
% cnf(560,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[559,89,theory(equality)])).
% cnf(561,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)|$false|$false),inference(rw,[status(thm)],[560,83,theory(equality)])).
% cnf(562,plain,(sdtasdt0(xq,esk1_2(sdtasdt0(xq,xn),xq))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[561,theory(equality)])).
% cnf(564,plain,(aInteger0(sdtasdt0(xq,xn))|~aInteger0(esk1_2(sdtasdt0(xq,xn),xq))|~aInteger0(xq)),inference(spm,[status(thm)],[39,562,theory(equality)])).
% cnf(576,plain,(aInteger0(sdtasdt0(xq,xn))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[564,511,theory(equality)])).
% cnf(577,plain,(aInteger0(sdtasdt0(xq,xn))|$false|$false),inference(rw,[status(thm)],[576,83,theory(equality)])).
% cnf(578,plain,(aInteger0(sdtasdt0(xq,xn))),inference(cn,[status(thm)],[577,theory(equality)])).
% cnf(2547,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[224,36])).
% cnf(2584,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[2547,54,theory(equality)])).
% cnf(2588,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[2547,49,theory(equality)])).
% cnf(2596,plain,(sdtpldt0(X1,sdtasdt0(xq,xm))=sdtpldt0(smndt0(xc),sdtpldt0(X1,xb))|~aInteger0(smndt0(xc))|~aInteger0(xb)|~aInteger0(X1)),inference(spm,[status(thm)],[2547,90,theory(equality)])).
% cnf(2601,plain,(sdtpldt0(X1,sz00)=sdtpldt0(X2,sdtpldt0(X1,smndt0(X2)))|~aInteger0(X2)|~aInteger0(smndt0(X2))|~aInteger0(X1)),inference(spm,[status(thm)],[2547,54,theory(equality)])).
% cnf(2609,plain,(sdtpldt0(X1,sz00)=sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))|~aInteger0(smndt0(X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[2547,55,theory(equality)])).
% cnf(2644,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[2588,30,theory(equality)])).
% cnf(2645,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[2644,theory(equality)])).
% cnf(2648,plain,(sdtpldt0(X1,sdtasdt0(xq,xm))=sdtpldt0(smndt0(xc),sdtpldt0(X1,xb))|~aInteger0(smndt0(xc))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[2596,84,theory(equality)])).
% cnf(2649,plain,(sdtpldt0(X1,sdtasdt0(xq,xm))=sdtpldt0(smndt0(xc),sdtpldt0(X1,xb))|~aInteger0(smndt0(xc))|~aInteger0(X1)),inference(cn,[status(thm)],[2648,theory(equality)])).
% cnf(3926,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz00,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[230,33])).
% cnf(35725,plain,(aInteger0(sdtasdt0(sdtpldt0(X1,X3),X2))|~aInteger0(sdtasdt0(X3,X2))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[330,39])).
% cnf(35726,plain,(aInteger0(sdtasdt0(sdtpldt0(X1,X3),X2))|~aInteger0(X1)|~aInteger0(X3)|~aInteger0(X2)),inference(csr,[status(thm)],[35725,39])).
% cnf(419783,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[2584,33])).
% cnf(470903,plain,(sdtpldt0(X2,sdtpldt0(X1,smndt0(X2)))=sdtpldt0(X1,sz00)|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[2601,33])).
% cnf(471112,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=sdtpldt0(xb,sz00)|~aInteger0(xc)|~aInteger0(xb)),inference(spm,[status(thm)],[470903,90,theory(equality)])).
% cnf(471113,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|~aInteger0(xb)|~aInteger0(xa)),inference(spm,[status(thm)],[470903,88,theory(equality)])).
% cnf(471473,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=sdtpldt0(xb,sz00)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[471112,81,theory(equality)])).
% cnf(471474,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=sdtpldt0(xb,sz00)|$false|$false),inference(rw,[status(thm)],[471473,84,theory(equality)])).
% cnf(471475,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=sdtpldt0(xb,sz00)),inference(cn,[status(thm)],[471474,theory(equality)])).
% cnf(471476,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|$false|~aInteger0(xa)),inference(rw,[status(thm)],[471113,84,theory(equality)])).
% cnf(471477,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|$false|$false),inference(rw,[status(thm)],[471476,85,theory(equality)])).
% cnf(471478,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)),inference(cn,[status(thm)],[471477,theory(equality)])).
% cnf(472752,plain,(sdtpldt0(sz00,sdtpldt0(xa,sz00))=sdtpldt0(xa,sz00)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(spm,[status(thm)],[243,471478,theory(equality)])).
% cnf(472827,plain,(sdtpldt0(sz00,sdtpldt0(xa,sz00))=sdtpldt0(xa,sz00)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[472752,578,theory(equality)])).
% cnf(472828,plain,(sdtpldt0(sz00,sdtpldt0(xa,sz00))=sdtpldt0(xa,sz00)|$false|$false),inference(rw,[status(thm)],[472827,84,theory(equality)])).
% cnf(472829,plain,(sdtpldt0(sz00,sdtpldt0(xa,sz00))=sdtpldt0(xa,sz00)),inference(cn,[status(thm)],[472828,theory(equality)])).
% cnf(474501,plain,(sdtpldt0(sz00,xa)=xa|~aInteger0(xa)),inference(spm,[status(thm)],[472829,50,theory(equality)])).
% cnf(474800,plain,(sdtpldt0(sz00,xa)=xa|$false),inference(rw,[status(thm)],[474501,85,theory(equality)])).
% cnf(474801,plain,(sdtpldt0(sz00,xa)=xa),inference(cn,[status(thm)],[474800,theory(equality)])).
% cnf(475909,plain,(sdtpldt0(smndt0(sz00),xa)=sdtpldt0(xa,sz00)|~aInteger0(xa)|~aInteger0(sz00)),inference(spm,[status(thm)],[419783,474801,theory(equality)])).
% cnf(476019,plain,(xa=sdtpldt0(xa,sz00)|~aInteger0(xa)|~aInteger0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[475909,434,theory(equality)]),474801,theory(equality)])).
% cnf(476020,plain,(xa=sdtpldt0(xa,sz00)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[476019,85,theory(equality)])).
% cnf(476021,plain,(xa=sdtpldt0(xa,sz00)|$false|$false),inference(rw,[status(thm)],[476020,30,theory(equality)])).
% cnf(476022,plain,(xa=sdtpldt0(xa,sz00)),inference(cn,[status(thm)],[476021,theory(equality)])).
% cnf(476471,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=xa),inference(rw,[status(thm)],[471478,476022,theory(equality)])).
% cnf(476924,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(spm,[status(thm)],[2645,476471,theory(equality)])).
% cnf(477037,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(rw,[status(thm)],[476924,474801,theory(equality)])).
% cnf(477038,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[477037,578,theory(equality)])).
% cnf(477039,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|$false),inference(rw,[status(thm)],[477038,84,theory(equality)])).
% cnf(477040,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)),inference(cn,[status(thm)],[477039,theory(equality)])).
% cnf(479714,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[3926,477040,theory(equality)])).
% cnf(479729,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[419783,477040,theory(equality)])).
% cnf(479795,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[479714,84,theory(equality)])).
% cnf(479796,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)|$false|$false),inference(rw,[status(thm)],[479795,578,theory(equality)])).
% cnf(479797,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)),inference(cn,[status(thm)],[479796,theory(equality)])).
% cnf(479841,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[479729,84,theory(equality)])).
% cnf(479842,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)|$false|$false),inference(rw,[status(thm)],[479841,578,theory(equality)])).
% cnf(479843,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)),inference(cn,[status(thm)],[479842,theory(equality)])).
% cnf(483861,plain,(sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))=sdtpldt0(X1,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[2609,33])).
% cnf(533528,plain,(sdtpldt0(sz00,xb)=sdtpldt0(xb,sz00)),inference(rw,[status(thm)],[479843,479797,theory(equality)])).
% cnf(533594,plain,(sdtpldt0(sz00,xb)=xb|~aInteger0(xb)),inference(spm,[status(thm)],[50,533528,theory(equality)])).
% cnf(533622,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=sdtpldt0(sz00,xb)),inference(rw,[status(thm)],[471475,533528,theory(equality)])).
% cnf(533825,plain,(sdtpldt0(sz00,xb)=xb|$false),inference(rw,[status(thm)],[533594,84,theory(equality)])).
% cnf(533826,plain,(sdtpldt0(sz00,xb)=xb),inference(cn,[status(thm)],[533825,theory(equality)])).
% cnf(534551,plain,(sdtpldt0(xc,sdtasdt0(xq,xm))=xb),inference(rw,[status(thm)],[533622,533826,theory(equality)])).
% cnf(534575,plain,(sdtpldt0(sz00,xb)=sdtpldt0(sdtasdt0(xq,xm),xc)|~aInteger0(sdtasdt0(xq,xm))|~aInteger0(xc)),inference(spm,[status(thm)],[2645,534551,theory(equality)])).
% cnf(534581,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(xc,sz00)|~aInteger0(sdtasdt0(xq,xm))|~aInteger0(xc)),inference(spm,[status(thm)],[483861,534551,theory(equality)])).
% cnf(534697,plain,(xb=sdtpldt0(sdtasdt0(xq,xm),xc)|~aInteger0(sdtasdt0(xq,xm))|~aInteger0(xc)),inference(rw,[status(thm)],[534575,533826,theory(equality)])).
% cnf(534698,plain,(xb=sdtpldt0(sdtasdt0(xq,xm),xc)|$false|~aInteger0(xc)),inference(rw,[status(thm)],[534697,534,theory(equality)])).
% cnf(534699,plain,(xb=sdtpldt0(sdtasdt0(xq,xm),xc)|$false|$false),inference(rw,[status(thm)],[534698,81,theory(equality)])).
% cnf(534700,plain,(xb=sdtpldt0(sdtasdt0(xq,xm),xc)),inference(cn,[status(thm)],[534699,theory(equality)])).
% cnf(534716,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(xc,sz00)|$false|~aInteger0(xc)),inference(rw,[status(thm)],[534581,534,theory(equality)])).
% cnf(534717,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(xc,sz00)|$false|$false),inference(rw,[status(thm)],[534716,81,theory(equality)])).
% cnf(534718,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),
% PrfWatch: 29.90 CPU 30.21 WC
% xb)=sdtpldt0(xc,sz00)),inference(cn,[status(thm)],[534717,theory(equality)])).
% cnf(534848,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(sz00,xc)|~aInteger0(xc)|~aInteger0(sdtasdt0(xq,xm))),inference(spm,[status(thm)],[3926,534700,theory(equality)])).
% cnf(534937,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(sz00,xc)|$false|~aInteger0(sdtasdt0(xq,xm))),inference(rw,[status(thm)],[534848,81,theory(equality)])).
% cnf(534938,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(sz00,xc)|$false|$false),inference(rw,[status(thm)],[534937,534,theory(equality)])).
% cnf(534939,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xm)),xb)=sdtpldt0(sz00,xc)),inference(cn,[status(thm)],[534938,theory(equality)])).
% cnf(769489,plain,(sdtpldt0(xc,sz00)=sdtpldt0(sz00,xc)),inference(rw,[status(thm)],[534939,534718,theory(equality)])).
% cnf(769600,plain,(sdtpldt0(sz00,xc)=xc|~aInteger0(xc)),inference(spm,[status(thm)],[50,769489,theory(equality)])).
% cnf(769981,plain,(sdtpldt0(sz00,xc)=xc|$false),inference(rw,[status(thm)],[769600,81,theory(equality)])).
% cnf(769982,plain,(sdtpldt0(sz00,xc)=xc),inference(cn,[status(thm)],[769981,theory(equality)])).
% cnf(770066,plain,(aInteger0(sdtasdt0(xc,X1))|~aInteger0(sz00)|~aInteger0(xc)|~aInteger0(X1)),inference(spm,[status(thm)],[35726,769982,theory(equality)])).
% cnf(770225,plain,(aInteger0(sdtasdt0(xc,X1))|$false|~aInteger0(xc)|~aInteger0(X1)),inference(rw,[status(thm)],[770066,30,theory(equality)])).
% cnf(770226,plain,(aInteger0(sdtasdt0(xc,X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[770225,81,theory(equality)])).
% cnf(770227,plain,(aInteger0(sdtasdt0(xc,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[770226,theory(equality)])).
% cnf(847079,plain,(aInteger0(smndt0(xc))|~aInteger0(smndt0(sz10))|~aInteger0(xc)),inference(spm,[status(thm)],[770227,100,theory(equality)])).
% cnf(847112,plain,(aInteger0(smndt0(xc))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[847079,81,theory(equality)])).
% cnf(847113,plain,(aInteger0(smndt0(xc))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[847112,theory(equality)])).
% cnf(1201623,plain,(aInteger0(smndt0(xc))|~aInteger0(sz10)),inference(spm,[status(thm)],[847113,33,theory(equality)])).
% cnf(1201624,plain,(aInteger0(smndt0(xc))|$false),inference(rw,[status(thm)],[1201623,112,theory(equality)])).
% cnf(1201625,plain,(aInteger0(smndt0(xc))),inference(cn,[status(thm)],[1201624,theory(equality)])).
% cnf(1201629,plain,(sdtpldt0(smndt0(xc),sdtpldt0(X1,xb))=sdtpldt0(X1,sdtasdt0(xq,xm))|$false|~aInteger0(X1)),inference(rw,[status(thm)],[2649,1201625,theory(equality)])).
% cnf(1201630,plain,(sdtpldt0(smndt0(xc),sdtpldt0(X1,xb))=sdtpldt0(X1,sdtasdt0(xq,xm))|~aInteger0(X1)),inference(cn,[status(thm)],[1201629,theory(equality)])).
% cnf(1201889,plain,(sdtpldt0(smndt0(xc),xa)=sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm))|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[1201630,477040,theory(equality)])).
% cnf(1202581,plain,(sdtpldt0(smndt0(xc),xa)=sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm))|$false),inference(rw,[status(thm)],[1201889,578,theory(equality)])).
% cnf(1202582,plain,(sdtpldt0(smndt0(xc),xa)=sdtpldt0(sdtasdt0(xq,xn),sdtasdt0(xq,xm))),inference(cn,[status(thm)],[1202581,theory(equality)])).
% cnf(1204847,plain,(sdtpldt0(smndt0(xc),xa)=sdtasdt0(xq,sdtpldt0(xn,xm))|~aInteger0(xq)|~aInteger0(xn)|~aInteger0(xm)),inference(spm,[status(thm)],[66,1202582,theory(equality)])).
% cnf(1205383,plain,(sdtpldt0(smndt0(xc),xa)=sdtasdt0(xq,sdtpldt0(xn,xm))|$false|~aInteger0(xn)|~aInteger0(xm)),inference(rw,[status(thm)],[1204847,83,theory(equality)])).
% cnf(1205384,plain,(sdtpldt0(smndt0(xc),xa)=sdtasdt0(xq,sdtpldt0(xn,xm))|$false|$false|~aInteger0(xm)),inference(rw,[status(thm)],[1205383,89,theory(equality)])).
% cnf(1205385,plain,(sdtpldt0(smndt0(xc),xa)=sdtasdt0(xq,sdtpldt0(xn,xm))|$false|$false|$false),inference(rw,[status(thm)],[1205384,91,theory(equality)])).
% cnf(1205386,plain,(sdtpldt0(smndt0(xc),xa)=sdtasdt0(xq,sdtpldt0(xn,xm))),inference(cn,[status(thm)],[1205385,theory(equality)])).
% cnf(1205413,plain,(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))|~aInteger0(xa)|~aInteger0(smndt0(xc))),inference(spm,[status(thm)],[45,1205386,theory(equality)])).
% cnf(1205580,plain,(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))|$false|~aInteger0(smndt0(xc))),inference(rw,[status(thm)],[1205413,85,theory(equality)])).
% cnf(1205581,plain,(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))|$false|$false),inference(rw,[status(thm)],[1205580,1201625,theory(equality)])).
% cnf(1205582,plain,(sdtasdt0(xq,sdtpldt0(xn,xm))=sdtpldt0(xa,smndt0(xc))),inference(cn,[status(thm)],[1205581,theory(equality)])).
% cnf(1205583,plain,($false),inference(sr,[status(thm)],[1205582,120,theory(equality)])).
% cnf(1205584,plain,($false),1205583,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6791
% # ...of these trivial : 1444
% # ...subsumed : 2060
% # ...remaining for further processing: 3287
% # Other redundant clauses eliminated : 8
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 6
% # Backward-rewritten : 548
% # Generated clauses : 383309
% # ...of the previous two non-trivial : 344509
% # Contextual simplify-reflections : 440
% # Paramodulations : 383281
% # Factorizations : 0
% # Equation resolutions : 28
% # Current number of processed clauses: 2690
% # Positive orientable unit clauses: 1631
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 1056
% # Current number of unprocessed clauses: 306152
% # ...number of literals in the above : 1231165
% # Clause-clause subsumption calls (NU) : 50982
% # Rec. Clause-clause subsumption calls : 29046
% # Unit Clause-clause subsumption calls : 1368
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6656
% # Indexed BW rewrite successes : 214
% # Backwards rewriting index: 2342 leaves, 1.64+/-2.194 terms/leaf
% # Paramod-from index: 1514 leaves, 1.66+/-2.421 terms/leaf
% # Paramod-into index: 2153 leaves, 1.63+/-2.217 terms/leaf
% # -------------------------------------------------
% # User time : 14.862 s
% # System time : 0.559 s
% # Total time : 15.421 s
% # Maximum resident set size: 0 pages
% PrfWatch: 30.01 CPU 30.33 WC
% FINAL PrfWatch: 30.01 CPU 30.33 WC
% SZS output end Solution for /tmp/SystemOnTPTP29644/NUM431+1.tptp
%
%------------------------------------------------------------------------------