TSTP Solution File: NUM426+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM426+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.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 18:56:48 EST 2010
% Result : Theorem 13.64s
% Output : Solution 13.64s
% 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/SystemOnTPTP3469/NUM426+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3469/NUM426+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3469/NUM426+3.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 3565
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.92 CPU 2.03 WC
% PrfWatch: 3.90 CPU 4.04 WC
% PrfWatch: 5.89 CPU 6.04 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 7.88 CPU 8.05 WC
% PrfWatch: 9.86 CPU 10.06 WC
% PrfWatch: 11.84 CPU 12.06 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(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(17, axiom,(((aInteger0(xa)&aInteger0(xb))&aInteger0(xq))&~(xq=sz00)),file('/tmp/SRASS.s.p', m__704)).
% fof(18, axiom,((?[X1]:(aInteger0(X1)&sdtasdt0(xq,X1)=sdtpldt0(xa,smndt0(xb)))&aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xa,xb,xq)),file('/tmp/SRASS.s.p', m__724)).
% fof(19, axiom,(aInteger0(xn)&sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),file('/tmp/SRASS.s.p', m__747)).
% fof(20, axiom,![X1]:(aInteger0(X1)=>(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),file('/tmp/SRASS.s.p', mMulMinOne)).
% 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(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(91,plain,(xq!=sz00),inference(split_conjunct,[status(thm)],[17])).
% cnf(92,plain,(aInteger0(xq)),inference(split_conjunct,[status(thm)],[17])).
% cnf(93,plain,(aInteger0(xb)),inference(split_conjunct,[status(thm)],[17])).
% cnf(94,plain,(aInteger0(xa)),inference(split_conjunct,[status(thm)],[17])).
% fof(95, plain,((?[X2]:(aInteger0(X2)&sdtasdt0(xq,X2)=sdtpldt0(xa,smndt0(xb)))&aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xa,xb,xq)),inference(variable_rename,[status(thm)],[18])).
% fof(96, plain,(((aInteger0(esk2_0)&sdtasdt0(xq,esk2_0)=sdtpldt0(xa,smndt0(xb)))&aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb))))&sdteqdtlpzmzozddtrp0(xa,xb,xq)),inference(skolemize,[status(esa)],[95])).
% cnf(99,plain,(sdtasdt0(xq,esk2_0)=sdtpldt0(xa,smndt0(xb))),inference(split_conjunct,[status(thm)],[96])).
% cnf(100,plain,(aInteger0(esk2_0)),inference(split_conjunct,[status(thm)],[96])).
% cnf(101,plain,(sdtasdt0(xq,xn)=sdtpldt0(xa,smndt0(xb))),inference(split_conjunct,[status(thm)],[19])).
% cnf(102,plain,(aInteger0(xn)),inference(split_conjunct,[status(thm)],[19])).
% fof(103, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)&smndt0(X1)=sdtasdt0(X1,smndt0(sz10)))),inference(fof_nnf,[status(thm)],[20])).
% fof(104, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(smndt0(sz10),X2)=smndt0(X2)&smndt0(X2)=sdtasdt0(X2,smndt0(sz10)))),inference(variable_rename,[status(thm)],[103])).
% fof(105, plain,![X2]:((sdtasdt0(smndt0(sz10),X2)=smndt0(X2)|~(aInteger0(X2)))&(smndt0(X2)=sdtasdt0(X2,smndt0(sz10))|~(aInteger0(X2)))),inference(distribute,[status(thm)],[104])).
% cnf(106,plain,(smndt0(X1)=sdtasdt0(X1,smndt0(sz10))|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[105])).
% cnf(107,plain,(sdtasdt0(smndt0(sz10),X1)=smndt0(X1)|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[105])).
% cnf(108,plain,(aInteger0(sz10)),inference(split_conjunct,[status(thm)],[21])).
% fof(109, plain,![X1]:(~(aInteger0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[22])).
% fof(110, plain,![X2]:(~(aInteger0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[109])).
% fof(111, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aInteger0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aInteger0(X2)))),inference(distribute,[status(thm)],[110])).
% cnf(113,plain,(sdtasdt0(X1,sz10)=X1|~aInteger0(X1)),inference(split_conjunct,[status(thm)],[111])).
% cnf(116,negated_conjecture,(sdtasdt0(xq,smndt0(xn))!=sdtpldt0(xb,smndt0(xa))),inference(split_conjunct,[status(thm)],[27])).
% cnf(117,plain,(sdtasdt0(xq,xn)=sdtasdt0(xq,esk2_0)),inference(rw,[status(thm)],[99,101,theory(equality)])).
% cnf(192,plain,(aInteger0(sdtasdt0(xq,xn))|~aInteger0(esk2_0)|~aInteger0(xq)),inference(spm,[status(thm)],[37,117,theory(equality)])).
% cnf(202,plain,(aInteger0(sdtasdt0(xq,xn))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[192,100,theory(equality)])).
% cnf(203,plain,(aInteger0(sdtasdt0(xq,xn))|$false|$false),inference(rw,[status(thm)],[202,92,theory(equality)])).
% cnf(204,plain,(aInteger0(sdtasdt0(xq,xn))),inference(cn,[status(thm)],[203,theory(equality)])).
% cnf(231,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[48,40,theory(equality)])).
% cnf(232,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X3)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[43,40,theory(equality)])).
% cnf(237,plain,(sdtpldt0(sz00,X2)=sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[40,52,theory(equality)])).
% cnf(239,plain,(sdtpldt0(sz00,X2)=sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))|~aInteger0(X2)|~aInteger0(smndt0(X1))|~aInteger0(X1)),inference(spm,[status(thm)],[40,53,theory(equality)])).
% cnf(243,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aInteger0(sdtpldt0(X1,X2))|$false|~aInteger0(X2)|~aInteger0(X1)),inference(rw,[status(thm)],[231,28,theory(equality)])).
% cnf(244,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aInteger0(sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[243,theory(equality)])).
% cnf(257,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(260,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk2_0,X1))|~aInteger0(X1)|~aInteger0(esk2_0)|~aInteger0(xq)),inference(spm,[status(thm)],[56,117,theory(equality)])).
% cnf(274,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk2_0,X1))|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[260,100,theory(equality)])).
% cnf(275,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk2_0,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[274,92,theory(equality)])).
% cnf(276,plain,(sdtasdt0(sdtasdt0(xq,xn),X1)=sdtasdt0(xq,sdtasdt0(esk2_0,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[275,theory(equality)])).
% cnf(292,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|~aInteger0(sz10)),inference(spm,[status(thm)],[64,113,theory(equality)])).
% cnf(314,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)|$false),inference(rw,[status(thm)],[292,108,theory(equality)])).
% cnf(315,plain,(sdtpldt0(sdtasdt0(X1,X2),X1)=sdtasdt0(X1,sdtpldt0(X2,sz10))|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[314,theory(equality)])).
% cnf(338,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aInteger0(X1)|~aInteger0(sz00)|~aInteger0(X2)),inference(spm,[status(thm)],[63,68,theory(equality)])).
% cnf(359,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aInteger0(X1)|$false|~aInteger0(X2)),inference(rw,[status(thm)],[338,28,theory(equality)])).
% cnf(360,plain,(sdtpldt0(sdtasdt0(X1,X2),sz00)=sdtasdt0(sdtpldt0(X1,sz00),X2)|~aInteger0(X1)|~aInteger0(X2)),inference(cn,[status(thm)],[359,theory(equality)])).
% cnf(463,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(smndt0(sz10))),inference(spm,[status(thm)],[106,276,theory(equality)])).
% cnf(464,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,sz00))=sz00|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(sz00)),inference(spm,[status(thm)],[69,276,theory(equality)])).
% cnf(468,plain,(aInteger0(sdtasdt0(xq,sdtasdt0(esk2_0,X1)))|~aInteger0(X1)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[37,276,theory(equality)])).
% cnf(475,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,X1))=sdtasdt0(xq,sdtasdt0(xn,X1))|~aInteger0(X1)|~aInteger0(xn)|~aInteger0(xq)),inference(spm,[status(thm)],[56,276,theory(equality)])).
% cnf(479,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|$false|~aInteger0(smndt0(sz10))),inference(rw,[status(thm)],[463,204,theory(equality)])).
% cnf(480,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[479,theory(equality)])).
% cnf(481,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,sz00))=sz00|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[464,204,theory(equality)])).
% cnf(482,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,sz00))=sz00|$false|$false),inference(rw,[status(thm)],[481,28,theory(equality)])).
% cnf(483,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,sz00))=sz00),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(490,plain,(aInteger0(sdtasdt0(xq,sdtasdt0(esk2_0,X1)))|~aInteger0(X1)|$false),inference(rw,[status(thm)],[468,204,theory(equality)])).
% cnf(491,plain,(aInteger0(sdtasdt0(xq,sdtasdt0(esk2_0,X1)))|~aInteger0(X1)),inference(cn,[status(thm)],[490,theory(equality)])).
% cnf(504,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,X1))=sdtasdt0(xq,sdtasdt0(xn,X1))|~aInteger0(X1)|$false|~aInteger0(xq)),inference(rw,[status(thm)],[475,102,theory(equality)])).
% cnf(505,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,X1))=sdtasdt0(xq,sdtasdt0(xn,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[504,92,theory(equality)])).
% cnf(506,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,X1))=sdtasdt0(xq,sdtasdt0(xn,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[505,theory(equality)])).
% cnf(507,plain,(sz00=xq|sz00=sdtasdt0(esk2_0,sz00)|~aInteger0(xq)|~aInteger0(sdtasdt0(esk2_0,sz00))),inference(spm,[status(thm)],[72,483,theory(equality)])).
% cnf(518,plain,(sz00=xq|sz00=sdtasdt0(esk2_0,sz00)|$false|~aInteger0(sdtasdt0(esk2_0,sz00))),inference(rw,[status(thm)],[507,92,theory(equality)])).
% cnf(519,plain,(sz00=xq|sz00=sdtasdt0(esk2_0,sz00)|~aInteger0(sdtasdt0(esk2_0,sz00))),inference(cn,[status(thm)],[518,theory(equality)])).
% cnf(520,plain,(sdtasdt0(esk2_0,sz00)=sz00|~aInteger0(sdtasdt0(esk2_0,sz00))),inference(sr,[status(thm)],[519,91,theory(equality)])).
% cnf(547,plain,(sdtasdt0(esk2_0,sz00)=sz00|~aInteger0(sz00)|~aInteger0(esk2_0)),inference(spm,[status(thm)],[520,37,theory(equality)])).
% cnf(554,plain,(sdtasdt0(esk2_0,sz00)=sz00|$false|~aInteger0(esk2_0)),inference(rw,[status(thm)],[547,28,theory(equality)])).
% cnf(555,plain,(sdtasdt0(esk2_0,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[554,100,theory(equality)])).
% cnf(556,plain,(sdtasdt0(esk2_0,sz00)=sz00),inference(cn,[status(thm)],[555,theory(equality)])).
% cnf(566,plain,(sdtasdt0(xq,sz00)=sz00),inference(rw,[status(thm)],[483,556,theory(equality)])).
% cnf(602,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|~aInteger0(xq)|~aInteger0(sz00)|~aInteger0(X1)),inference(spm,[status(thm)],[64,566,theory(equality)])).
% cnf(620,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|$false|~aInteger0(sz00)|~aInteger0(X1)),inference(rw,[status(thm)],[602,92,theory(equality)])).
% cnf(621,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[620,28,theory(equality)])).
% cnf(622,plain,(sdtpldt0(sz00,sdtasdt0(xq,X1))=sdtasdt0(xq,sdtpldt0(sz00,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[621,theory(equality)])).
% cnf(1540,plain,(sdtasdt0(xq,smndt0(esk2_0))=sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))|~aInteger0(smndt0(sz10))|~aInteger0(esk2_0)),inference(spm,[status(thm)],[506,106,theory(equality)])).
% cnf(1577,plain,(sdtasdt0(xq,smndt0(esk2_0))=sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[1540,100,theory(equality)])).
% cnf(1578,plain,(sdtasdt0(xq,smndt0(esk2_0))=sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[1577,theory(equality)])).
% cnf(1899,plain,(aInteger0(sdtasdt0(xq,sdtasdt0(xn,X1)))|~aInteger0(X1)),inference(spm,[status(thm)],[491,506,theory(equality)])).
% cnf(2145,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|~aInteger0(sz10)|~aInteger0(xq)),inference(spm,[status(thm)],[622,113,theory(equality)])).
% cnf(2150,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,sdtpldt0(sz00,esk2_0))|~aInteger0(esk2_0)),inference(spm,[status(thm)],[622,117,theory(equality)])).
% cnf(2165,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|$false|~aInteger0(xq)),inference(rw,[status(thm)],[2145,108,theory(equality)])).
% cnf(2166,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[2165,92,theory(equality)])).
% cnf(2167,plain,(sdtpldt0(sz00,xq)=sdtasdt0(xq,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[2166,theory(equality)])).
% cnf(2179,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,sdtpldt0(sz00,esk2_0))|$false),inference(rw,[status(thm)],[2150,100,theory(equality)])).
% cnf(2180,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,sdtpldt0(sz00,esk2_0))),inference(cn,[status(thm)],[2179,theory(equality)])).
% cnf(2201,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)|~aInteger0(sz10)),inference(spm,[status(thm)],[2167,47,theory(equality)])).
% cnf(2220,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)|$false),inference(rw,[status(thm)],[2201,108,theory(equality)])).
% cnf(2221,plain,(sdtasdt0(xq,sz10)=sdtpldt0(sz00,xq)),inference(cn,[status(thm)],[2220,theory(equality)])).
% cnf(2224,plain,(sdtasdt0(xq,sz10)=xq|~aInteger0(xq)),inference(spm,[status(thm)],[47,2221,theory(equality)])).
% cnf(2232,plain,(sdtasdt0(xq,sz10)=xq|$false),inference(rw,[status(thm)],[2224,92,theory(equality)])).
% cnf(2233,plain,(sdtasdt0(xq,sz10)=xq),inference(cn,[status(thm)],[2232,theory(equality)])).
% cnf(2272,plain,(sdtpldt0(sz00,xq)=xq),inference(rw,[status(thm)],[2221,2233,theory(equality)])).
% cnf(2308,plain,(sdtpldt0(xq,X1)=sdtpldt0(sz00,sdtpldt0(xq,X1))|~aInteger0(X1)|~aInteger0(xq)|~aInteger0(sz00)),inference(spm,[status(thm)],[40,2272,theory(equality)])).
% cnf(2313,plain,(sdtpldt0(xq,X1)=sdtpldt0(sz00,sdtpldt0(xq,X1))|~aInteger0(X1)|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2308,92,theory(equality)])).
% cnf(2314,plain,(sdtpldt0(xq,X1)=sdtpldt0(sz00,sdtpldt0(xq,X1))|~aInteger0(X1)|$false|$false),inference(rw,[status(thm)],[2313,28,theory(equality)])).
% cnf(2315,plain,(sdtpldt0(xq,X1)=sdtpldt0(sz00,sdtpldt0(xq,X1))|~aInteger0(X1)),inference(cn,[status(thm)],[2314,theory(equality)])).
% cnf(2353,plain,(sdtasdt0(xq,sdtpldt0(sz00,esk2_0))=sdtasdt0(xq,xn)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[47,2180,theory(equality)])).
% cnf(2361,plain,(sdtasdt0(xq,sdtpldt0(sz00,esk2_0))=sdtasdt0(xq,xn)|$false),inference(rw,[status(thm)],[2353,204,theory(equality)])).
% cnf(2362,plain,(sdtasdt0(xq,sdtpldt0(sz00,esk2_0))=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[2361,theory(equality)])).
% cnf(2376,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtasdt0(xq,xn)),inference(rw,[status(thm)],[2180,2362,theory(equality)])).
% cnf(2676,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|~aInteger0(smndt0(sz10))|~aInteger0(xn)),inference(spm,[status(thm)],[1899,106,theory(equality)])).
% cnf(2690,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[2676,102,theory(equality)])).
% cnf(2691,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[2690,theory(equality)])).
% cnf(2711,plain,(sdtpldt0(X1,sdtpldt0(X2,sz00))=sdtpldt0(X1,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[244,34])).
% cnf(2859,plain,(sdtpldt0(xq,sz00)=sdtpldt0(sz00,xq)|~aInteger0(xq)|~aInteger0(sz00)),inference(spm,[status(thm)],[2711,2315,theory(equality)])).
% cnf(2879,plain,(sdtpldt0(xq,sz00)=xq|~aInteger0(xq)|~aInteger0(sz00)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2859,2221,theory(equality)]),2233,theory(equality)])).
% cnf(2880,plain,(sdtpldt0(xq,sz00)=xq|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[2879,92,theory(equality)])).
% cnf(2881,plain,(sdtpldt0(xq,sz00)=xq|$false|$false),inference(rw,[status(thm)],[2880,28,theory(equality)])).
% cnf(2882,plain,(sdtpldt0(xq,sz00)=xq),inference(cn,[status(thm)],[2881,theory(equality)])).
% cnf(2955,plain,(sdtpldt0(X1,sdtpldt0(X2,X3))=sdtpldt0(X3,sdtpldt0(X1,X2))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[232,34])).
% cnf(2994,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(smndt0(X1))),inference(spm,[status(thm)],[2955,52,theory(equality)])).
% cnf(3001,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(sz00)),inference(spm,[status(thm)],[2955,47,theory(equality)])).
% cnf(3004,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(smndt0(X1))|~aInteger0(X1)),inference(spm,[status(thm)],[2955,53,theory(equality)])).
% cnf(3026,plain,(sdtpldt0(X1,sz00)=sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))|~aInteger0(smndt0(X2))|~aInteger0(X2)|~aInteger0(X1)),inference(spm,[status(thm)],[2955,53,theory(equality)])).
% cnf(3078,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)|$false),inference(rw,[status(thm)],[3001,28,theory(equality)])).
% cnf(3079,plain,(sdtpldt0(sz00,sdtpldt0(X1,X2))=sdtpldt0(X2,X1)|~aInteger0(X2)|~aInteger0(X1)),inference(cn,[status(thm)],[3078,theory(equality)])).
% cnf(4158,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(sz00,X2)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[237,31])).
% cnf(4896,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(sz00,X2)|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[239,31])).
% cnf(5988,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|~aInteger0(sz10)),inference(spm,[status(thm)],[2691,31,theory(equality)])).
% cnf(5989,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))|$false),inference(rw,[status(thm)],[5988,108,theory(equality)])).
% cnf(5990,plain,(aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(cn,[status(thm)],[5989,theory(equality)])).
% cnf(8177,plain,(aInteger0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aInteger0(X2)|~aInteger0(X1)|~aInteger0(X3)),inference(csr,[status(thm)],[257,37])).
% cnf(16322,plain,(sdtpldt0(sz00,esk2_0)=sdtasdt0(esk2_0,sdtpldt0(sz00,sz10))|~aInteger0(esk2_0)|~aInteger0(sz00)),inference(spm,[status(thm)],[315,556,theory(equality)])).
% cnf(16437,plain,(sdtpldt0(sz00,esk2_0)=sdtasdt0(esk2_0,sdtpldt0(sz00,sz10))|$false|~aInteger0(sz00)),inference(rw,[status(thm)],[16322,100,theory(equality)])).
% cnf(16438,plain,(sdtpldt0(sz00,esk2_0)=sdtasdt0(esk2_0,sdtpldt0(sz00,sz10))|$false|$false),inference(rw,[status(thm)],[16437,28,theory(equality)])).
% cnf(16439,plain,(sdtpldt0(sz00,esk2_0)=sdtasdt0(esk2_0,sdtpldt0(sz00,sz10))),inference(cn,[status(thm)],[16438,theory(equality)])).
% cnf(63708,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|~aInteger0(sz10)),inference(spm,[status(thm)],[480,31,theory(equality)])).
% cnf(63709,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))|$false),inference(rw,[status(thm)],[63708,108,theory(equality)])).
% cnf(63710,plain,(sdtasdt0(xq,sdtasdt0(esk2_0,smndt0(sz10)))=smndt0(sdtasdt0(xq,xn))),inference(cn,[status(thm)],[63709,theory(equality)])).
% cnf(63898,plain,(sdtasdt0(xq,smndt0(esk2_0))=smndt0(sdtasdt0(xq,xn))|~aInteger0(esk2_0)),inference(spm,[status(thm)],[63710,106,theory(equality)])).
% cnf(64042,plain,(sdtasdt0(xq,smndt0(esk2_0))=smndt0(sdtasdt0(xq,xn))|$false),inference(rw,[status(thm)],[63898,100,theory(equality)])).
% cnf(64043,plain,(sdtasdt0(xq,smndt0(esk2_0))=smndt0(sdtasdt0(xq,xn))),inference(cn,[status(thm)],[64042,theory(equality)])).
% cnf(114377,plain,(sdtasdt0(esk2_0,sz10)=sdtpldt0(sz00,esk2_0)|~aInteger0(sz10)),inference(spm,[status(thm)],[16439,47,theory(equality)])).
% cnf(114506,plain,(sdtasdt0(esk2_0,sz10)=sdtpldt0(sz00,esk2_0)|$false),inference(rw,[status(thm)],[114377,108,theory(equality)])).
% cnf(114507,plain,(sdtasdt0(esk2_0,sz10)=sdtpldt0(sz00,esk2_0)),inference(cn,[status(thm)],[114506,theory(equality)])).
% cnf(114520,plain,(sdtasdt0(esk2_0,sz10)=esk2_0|~aInteger0(esk2_0)),inference(spm,[status(thm)],[47,114507,theory(equality)])).
% cnf(114569,plain,(sdtasdt0(esk2_0,sz10)=esk2_0|$false),inference(rw,[status(thm)],[114520,100,theory(equality)])).
% cnf(114570,plain,(sdtasdt0(esk2_0,sz10)=esk2_0),inference(cn,[status(thm)],[114569,theory(equality)])).
% cnf(114615,plain,(aInteger0(sdtasdt0(X1,esk2_0))|~aInteger0(sz10)|~aInteger0(esk2_0)|~aInteger0(X1)),inference(spm,[status(thm)],[8177,114570,theory(equality)])).
% cnf(114787,plain,(aInteger0(sdtasdt0(X1,esk2_0))|$false|~aInteger0(esk2_0)|~aInteger0(X1)),inference(rw,[status(thm)],[114615,108,theory(equality)])).
% cnf(114788,plain,(aInteger0(sdtasdt0(X1,esk2_0))|$false|$false|~aInteger0(X1)),inference(rw,[status(thm)],[114787,100,theory(equality)])).
% cnf(114789,plain,(aInteger0(sdtasdt0(X1,esk2_0))|~aInteger0(X1)),inference(cn,[status(thm)],[114788,theory(equality)])).
% cnf(116086,plain,(aInteger0(smndt0(esk2_0))|~aInteger0(smndt0(sz10))|~aInteger0(esk2_0)),inference(spm,[status(thm)],[114789,107,theory(equality)])).
% cnf(116124,plain,(aInteger0(smndt0(esk2_0))|~aInteger0(smndt0(sz10))|$false),inference(rw,[status(thm)],[116086,100,theory(equality)])).
% cnf(116125,plain,(aInteger0(smndt0(esk2_0))|~aInteger0(smndt0(sz10))),inference(cn,[status(thm)],[116124,theory(equality)])).
% cnf(122996,plain,(aInteger0(smndt0(esk2_0))|~aInteger0(sz10)),inference(spm,[status(thm)],[116125,31,theory(equality)])).
% cnf(122997,plain,(aInteger0(smndt0(esk2_0))|$false),inference(rw,[status(thm)],[122996,108,theory(equality)])).
% cnf(122998,plain,(aInteger0(smndt0(esk2_0))),inference(cn,[status(thm)],[122997,theory(equality)])).
% cnf(193038,plain,(sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))=sdtasdt0(xq,smndt0(esk2_0))|~aInteger0(sz10)),inference(spm,[status(thm)],[1578,31,theory(equality)])).
% cnf(193039,plain,(sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))=sdtasdt0(xq,smndt0(esk2_0))|$false),inference(rw,[status(thm)],[193038,108,theory(equality)])).
% cnf(193040,plain,(sdtasdt0(xq,sdtasdt0(xn,smndt0(sz10)))=sdtasdt0(xq,smndt0(esk2_0))),inference(cn,[status(thm)],[193039,theory(equality)])).
% cnf(193133,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xq,smndt0(esk2_0))|~aInteger0(xn)),inference(spm,[status(thm)],[193040,106,theory(equality)])).
% cnf(193286,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xq,smndt0(esk2_0))|$false),inference(rw,[status(thm)],[193133,102,theory(equality)])).
% cnf(193287,plain,(sdtasdt0(xq,smndt0(xn))=sdtasdt0(xq,smndt0(esk2_0))),inference(cn,[status(thm)],[193286,theory(equality)])).
% cnf(193313,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(sdtpldt0(xq,sz00),smndt0(esk2_0))|~aInteger0(xq)|~aInteger0(smndt0(esk2_0))),inference(spm,[status(thm)],[360,193287,theory(equality)])).
% cnf(193450,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|~aInteger0(xq)|~aInteger0(smndt0(esk2_0))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[193313,2882,theory(equality)]),193287,theory(equality)])).
% cnf(193451,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|$false|~aInteger0(smndt0(esk2_0))),inference(rw,[status(thm)],[193450,92,theory(equality)])).
% cnf(193452,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))|$false|$false),inference(rw,[status(thm)],[193451,122998,theory(equality)])).
% cnf(193453,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)=sdtasdt0(xq,smndt0(xn))),inference(cn,[status(thm)],[193452,theory(equality)])).
% cnf(429093,plain,(sdtpldt0(smndt0(X1),sdtpldt0(X1,X2))=sdtpldt0(X2,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[2994,31])).
% cnf(437613,plain,(sdtpldt0(sz00,sdtasdt0(xq,xn))=sdtpldt0(smndt0(xb),xa)|~aInteger0(smndt0(xb))|~aInteger0(xa)),inference(spm,[status(thm)],[3079,101,theory(equality)])).
% cnf(438598,plain,(sdtasdt0(xq,xn)=sdtpldt0(smndt0(xb),xa)|~aInteger0(smndt0(xb))|~aInteger0(xa)),inference(rw,[status(thm)],[437613,2376,theory(equality)])).
% cnf(438599,plain,(sdtasdt0(xq,xn)=sdtpldt0(smndt0(xb),xa)|~aInteger0(smndt0(xb))|$false),inference(rw,[status(thm)],[438598,94,theory(equality)])).
% cnf(438600,plain,(sdtasdt0(xq,xn)=sdtpldt0(smndt0(xb),xa)|~aInteger0(smndt0(xb))),inference(cn,[status(thm)],[438599,theory(equality)])).
% cnf(439589,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)|~aInteger0(xb)),inference(spm,[status(thm)],[438600,31,theory(equality)])).
% cnf(439590,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)|$false),inference(rw,[status(thm)],[439589,93,theory(equality)])).
% cnf(439591,plain,(sdtpldt0(smndt0(xb),xa)=sdtasdt0(xq,xn)),inference(cn,[status(thm)],[439590,theory(equality)])).
% cnf(439645,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)|~aInteger0(xa)|~aInteger0(xb)),inference(spm,[status(thm)],[4896,439591,theory(equality)])).
% cnf(439770,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[439645,94,theory(equality)])).
% cnf(439771,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)|$false|$false),inference(rw,[status(thm)],[439770,93,theory(equality)])).
% cnf(439772,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(sz00,xa)),inference(cn,[status(thm)],[439771,theory(equality)])).
% cnf(445222,plain,(sdtpldt0(X1,sdtpldt0(smndt0(X1),X2))=sdtpldt0(X2,sz00)|~aInteger0(X1)|~aInteger0(X2)),inference(csr,[status(thm)],[3004,31])).
% cnf(445471,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=sdtpldt0(xa,sz00)|~aInteger0(xa)|~aInteger0(xb)),inference(spm,[status(thm)],[445222,439591,theory(equality)])).
% cnf(445864,plain,(sdtpldt0(sz00,xa)=sdtpldt0(xa,sz00)|~aInteger0(xa)|~aInteger0(xb)),inference(rw,[status(thm)],[445471,439772,theory(equality)])).
% cnf(445865,plain,(sdtpldt0(sz00,xa)=sdtpldt0(xa,sz00)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[445864,94,theory(equality)])).
% cnf(445866,plain,(sdtpldt0(sz00,xa)=sdtpldt0(xa,sz00)|$false|$false),inference(rw,[status(thm)],[445865,93,theory(equality)])).
% cnf(445867,plain,(sdtpldt0(sz00,xa)=sdtpldt0(xa,sz00)),inference(cn,[status(thm)],[445866,theory(equality)])).
% cnf(446122,plain,(sdtpldt0(sz00,xa)=xa|~aInteger0(xa)),inference(spm,[status(thm)],[48,445867,theory(equality)])).
% cnf(446289,plain,(sdtpldt0(sz00,xa)=xa|$false),inference(rw,[status(thm)],[446122,94,theory(equality)])).
% cnf(446290,plain,(sdtpldt0(sz00,xa)=xa),inference(cn,[status(thm)],[446289,theory(equality)])).
% cnf(446379,plain,(sdtpldt0(xb,sdtasdt0(xq,xn))=xa),inference(rw,[status(thm)],[439772,446290,theory(equality)])).
% cnf(447056,plain,(sdtpldt0(sz00,xa)=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(spm,[status(thm)],[3079,446379,theory(equality)])).
% cnf(447159,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|~aInteger0(sdtasdt0(xq,xn))|~aInteger0(xb)),inference(rw,[status(thm)],[447056,446290,theory(equality)])).
% cnf(447160,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|~aInteger0(xb)),inference(rw,[status(thm)],[447159,204,theory(equality)])).
% cnf(447161,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)|$false|$false),inference(rw,[status(thm)],[447160,93,theory(equality)])).
% cnf(447162,plain,(xa=sdtpldt0(sdtasdt0(xq,xn),xb)),inference(cn,[status(thm)],[447161,theory(equality)])).
% cnf(447263,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(sz00,xb)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[4158,447162,theory(equality)])).
% cnf(447277,plain,(sdtpldt0(smndt0(sdtasdt0(xq,xn)),xa)=sdtpldt0(xb,sz00)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(spm,[status(thm)],[429093,447162,theory(equality)])).
% cnf(447337,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[447263,64043,theory(equality)]),193287,theory(equality)])).
% cnf(447338,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[447337,93,theory(equality)])).
% cnf(447339,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)|$false|$false),inference(rw,[status(thm)],[447338,204,theory(equality)])).
% cnf(447340,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(sz00,xb)),inference(cn,[status(thm)],[447339,theory(equality)])).
% cnf(447381,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|~aInteger0(xb)|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[inference(rw,[status(thm)],[447277,64043,theory(equality)]),193287,theory(equality)])).
% cnf(447382,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|$false|~aInteger0(sdtasdt0(xq,xn))),inference(rw,[status(thm)],[447381,93,theory(equality)])).
% cnf(447383,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)|$false|$false),inference(rw,[status(thm)],[447382,204,theory(equality)])).
% cnf(447384,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=sdtpldt0(xb,sz00)),inference(cn,[status(thm)],[447383,theory(equality)])).
% cnf(492936,plain,(sdtpldt0(sz00,xb)=sdtpldt0(xb,sz00)),inference(rw,[status(thm)],[447384,447340,theory(equality)])).
% cnf(492993,plain,(sdtpldt0(sz00,xb)=xb|~aInteger0(xb)),inference(spm,[status(thm)],[48,492936,theory(equality)])).
% cnf(493185,plain,(sdtpldt0(sz00,xb)=xb|$false),inference(rw,[status(thm)],[492993,93,theory(equality)])).
% cnf(493186,plain,(sdtpldt0(sz00,xb)=xb),inference(cn,[status(thm)],[493185,theory(equality)])).
% cnf(493296,plain,(sdtpldt0(sdtasdt0(xq,smndt0(xn)),xa)=xb),inference(rw,[status(thm)],[447340,493186,theory(equality)])).
% cnf(494073,plain,(sdtpldt0(smndt0(X2),sdtpldt0(X1,X2))=sdtpldt0(X1,sz00)|~aInteger0(X2)|~aInteger0(X1)),inference(csr,[status(thm)],[3026,31])).
% cnf(494325,plain,(sdtpldt0(smndt0(xa),xb)=sdtpldt0(sdtasdt0(xq,smndt0(xn)),sz00)|~aInteger0(xa)|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(spm,[status(thm)],[494073,493296,theory(equality)])).
% cnf(495291,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|~aInteger0(xa)|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(rw,[status(thm)],[494325,193453,theory(equality)])).
% cnf(495292,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|$false|~aInteger0(sdtasdt0(xq,smndt0(xn)))),inference(rw,[status(thm)],[495291,94,theory(equality)])).
% cnf(495293,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))|$false|$false),inference(rw,[status(thm)],[495292,5990,theory(equality)])).
% cnf(495294,plain,(sdtpldt0(smndt0(xa),xb)=sdtasdt0(xq,smndt0(xn))),inference(cn,[status(thm)],[495293,theory(equality)])).
% cnf(504706,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|~aInteger0(xb)|~aInteger0(smndt0(xa))),inference(spm,[status(thm)],[43,495294,theory(equality)])).
% cnf(504772,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|$false|~aInteger0(smndt0(xa))),inference(rw,[status(thm)],[504706,93,theory(equality)])).
% cnf(504773,plain,(sdtasdt0(xq,smndt0(xn))=sdtpldt0(xb,smndt0(xa))|~aInteger0(smndt0(xa))),inference(cn,[status(thm)],[504772,theory(equality)])).
% cnf(504774,plain,(~aInteger0(smndt0(xa))),inference(sr,[status(thm)],[504773,116,theory(equality)])).
% cnf(504924,plain,(~aInteger0(xa)),inference(spm,[status(thm)],[504774,31,theory(equality)])).
% cnf(504925,plain,($false),inference(rw,[status(thm)],[504924,94,theory(equality)])).
% cnf(504926,plain,($false),inference(cn,[status(thm)],[504925,theory(equality)])).
% cnf(504927,plain,($false),504926,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4531
% # ...of these trivial : 884
% # ...subsumed : 1424
% # ...remaining for further processing: 2223
% # Other redundant clauses eliminated : 8
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 2
% # Backward-rewritten : 359
% # Generated clauses : 161344
% # ...of the previous two non-trivial : 139259
% # Contextual simplify-reflections : 232
% # Paramodulations : 161316
% # Factorizations : 0
% # Equation resolutions : 28
% # Current number of processed clauses: 1821
% # Positive orientable unit clauses: 1130
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 686
% # Current number of unprocessed clauses: 121579
% # ...number of literals in the above : 421876
% # Clause-clause subsumption calls (NU) : 26687
% # Rec. Clause-clause subsumption calls : 21063
% # Unit Clause-clause subsumption calls : 514
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4070
% # Indexed BW rewrite successes : 140
% # Backwards rewriting index: 1688 leaves, 1.57+/-2.090 terms/leaf
% # Paramod-from index: 1031 leaves, 1.63+/-2.458 terms/leaf
% # Paramod-into index: 1535 leaves, 1.58+/-2.141 terms/leaf
% # -------------------------------------------------
% # User time : 6.097 s
% # System time : 0.275 s
% # Total time : 6.372 s
% # Maximum resident set size: 0 pages
% PrfWatch: 12.61 CPU 12.87 WC
% FINAL PrfWatch: 12.61 CPU 12.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP3469/NUM426+3.tptp
%
%------------------------------------------------------------------------------