TSTP Solution File: NUM504+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM504+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 : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:40:17 EST 2010
% Result : Theorem 1.41s
% Output : Solution 1.41s
% 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/SystemOnTPTP2425/NUM504+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP2425/NUM504+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP2425/NUM504+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 2521
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(27, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(28, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(34, axiom,![X1]:(aNaturalNumber0(X1)=>(isPrime0(X1)<=>((~(X1=sz00)&~(X1=sz10))&![X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))=>(X2=sz10|X2=X1))))),file('/tmp/SRASS.s.p', mDefPrime)).
% fof(36, axiom,((aNaturalNumber0(xn)&aNaturalNumber0(xm))&aNaturalNumber0(xp)),file('/tmp/SRASS.s.p', m__1837)).
% fof(38, axiom,(isPrime0(xp)&doDivides0(xp,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__1860)).
% fof(42, axiom,xk=sdtsldt0(sdtasdt0(xn,xm),xp),file('/tmp/SRASS.s.p', m__2306)).
% fof(45, axiom,((aNaturalNumber0(xr)&doDivides0(xr,xk))&isPrime0(xr)),file('/tmp/SRASS.s.p', m__2342)).
% fof(46, axiom,(sdtlseqdt0(xr,xk)&doDivides0(xr,sdtasdt0(xn,xm))),file('/tmp/SRASS.s.p', m__2362)).
% fof(48, axiom,(((~(sdtasdt0(xn,xm)=sdtasdt0(xp,xm))&sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)))&~(sdtasdt0(xp,xm)=sdtasdt0(xp,xk)))&sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),file('/tmp/SRASS.s.p', m__2414)).
% cnf(59,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% fof(65, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[4])).
% fof(66, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[65])).
% cnf(67,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[66])).
% fof(130, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[19])).
% fof(131, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[130])).
% cnf(132,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[131])).
% fof(167, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[27])).
% fof(168, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[167])).
% fof(169, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[168])).
% fof(170, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk2_2(X4,X5))&X5=sdtasdt0(X4,esk2_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[169])).
% fof(171, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk2_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[170])).
% cnf(172,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[171])).
% cnf(174,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[171])).
% fof(175, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[28])).
% fof(176, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[175])).
% fof(177, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[176])).
% fof(178, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[177])).
% cnf(179,plain,(X2=sz00|X3=sdtsldt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[178])).
% fof(198, plain,![X1]:(~(aNaturalNumber0(X1))|((~(isPrime0(X1))|((~(X1=sz00)&~(X1=sz10))&![X2]:((~(aNaturalNumber0(X2))|~(doDivides0(X2,X1)))|(X2=sz10|X2=X1))))&(((X1=sz00|X1=sz10)|?[X2]:((aNaturalNumber0(X2)&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))|isPrime0(X1)))),inference(fof_nnf,[status(thm)],[34])).
% fof(199, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|?[X5]:((aNaturalNumber0(X5)&doDivides0(X5,X3))&(~(X5=sz10)&~(X5=X3))))|isPrime0(X3)))),inference(variable_rename,[status(thm)],[198])).
% fof(200, plain,![X3]:(~(aNaturalNumber0(X3))|((~(isPrime0(X3))|((~(X3=sz00)&~(X3=sz10))&![X4]:((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))),inference(skolemize,[status(esa)],[199])).
% fof(201, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))&(~(X3=sz00)&~(X3=sz10)))|~(isPrime0(X3)))&(((X3=sz00|X3=sz10)|((aNaturalNumber0(esk3_1(X3))&doDivides0(esk3_1(X3),X3))&(~(esk3_1(X3)=sz10)&~(esk3_1(X3)=X3))))|isPrime0(X3)))|~(aNaturalNumber0(X3))),inference(shift_quantors,[status(thm)],[200])).
% fof(202, plain,![X3]:![X4]:((((((~(aNaturalNumber0(X4))|~(doDivides0(X4,X3)))|(X4=sz10|X4=X3))|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&(((~(X3=sz00)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))&((~(X3=sz10)|~(isPrime0(X3)))|~(aNaturalNumber0(X3)))))&(((((aNaturalNumber0(esk3_1(X3))|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((doDivides0(esk3_1(X3),X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3))))&((((~(esk3_1(X3)=sz10)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))&(((~(esk3_1(X3)=X3)|(X3=sz00|X3=sz10))|isPrime0(X3))|~(aNaturalNumber0(X3)))))),inference(distribute,[status(thm)],[201])).
% cnf(208,plain,(~aNaturalNumber0(X1)|~isPrime0(X1)|X1!=sz00),inference(split_conjunct,[status(thm)],[202])).
% cnf(217,plain,(aNaturalNumber0(xp)),inference(split_conjunct,[status(thm)],[36])).
% cnf(218,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[36])).
% cnf(219,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[36])).
% cnf(223,plain,(doDivides0(xp,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[38])).
% cnf(224,plain,(isPrime0(xp)),inference(split_conjunct,[status(thm)],[38])).
% cnf(231,plain,(xk=sdtsldt0(sdtasdt0(xn,xm),xp)),inference(split_conjunct,[status(thm)],[42])).
% cnf(239,plain,(aNaturalNumber0(xr)),inference(split_conjunct,[status(thm)],[45])).
% cnf(240,plain,(doDivides0(xr,sdtasdt0(xn,xm))),inference(split_conjunct,[status(thm)],[46])).
% cnf(243,plain,(sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),inference(split_conjunct,[status(thm)],[48])).
% cnf(245,plain,(sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),inference(split_conjunct,[status(thm)],[48])).
% cnf(246,plain,(sdtasdt0(xn,xm)!=sdtasdt0(xp,xm)),inference(split_conjunct,[status(thm)],[48])).
% cnf(261,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[179,174])).
% cnf(266,plain,(~isPrime0(sz00)|~aNaturalNumber0(sz00)),inference(er,[status(thm)],[208,theory(equality)])).
% cnf(267,plain,(~isPrime0(sz00)|$false),inference(rw,[status(thm)],[266,59,theory(equality)])).
% cnf(268,plain,(~isPrime0(sz00)),inference(cn,[status(thm)],[267,theory(equality)])).
% cnf(425,plain,(sdtasdt0(xp,xm)=sdtasdt0(xn,xm)|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))),inference(spm,[status(thm)],[132,245,theory(equality)])).
% cnf(442,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))),inference(sr,[status(thm)],[425,246,theory(equality)])).
% cnf(492,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[173,240,theory(equality)])).
% cnf(493,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[173,223,theory(equality)])).
% cnf(496,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[492,239,theory(equality)])).
% cnf(497,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[496,theory(equality)])).
% cnf(498,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[493,217,theory(equality)])).
% cnf(499,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[498,theory(equality)])).
% cnf(528,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xr)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[172,240,theory(equality)])).
% cnf(529,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xp)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(spm,[status(thm)],[172,223,theory(equality)])).
% cnf(532,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[528,239,theory(equality)])).
% cnf(533,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[532,theory(equality)])).
% cnf(534,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(rw,[status(thm)],[529,217,theory(equality)])).
% cnf(535,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[534,theory(equality)])).
% cnf(677,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[261,theory(equality)])).
% cnf(4039,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[497,67,theory(equality)])).
% cnf(4046,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4039,218,theory(equality)])).
% cnf(4047,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[4046,219,theory(equality)])).
% cnf(4048,plain,(aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[4047,theory(equality)])).
% cnf(4326,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[499,67,theory(equality)])).
% cnf(4333,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[4326,218,theory(equality)])).
% cnf(4334,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|$false|$false),inference(rw,[status(thm)],[4333,219,theory(equality)])).
% cnf(4335,plain,(aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))),inference(cn,[status(thm)],[4334,theory(equality)])).
% cnf(5818,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|~aNaturalNumber0(xm)|~aNaturalNumber0(xn)),inference(spm,[status(thm)],[533,67,theory(equality)])).
% cnf(5825,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|~aNaturalNumber0(xn)),inference(rw,[status(thm)],[5818,218,theory(equality)])).
% cnf(5826,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false|$false),inference(rw,[status(thm)],[5825,219,theory(equality)])).
% cnf(5827,plain,(sdtasdt0(xr,esk2_2(xr,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[5826,theory(equality)])).
% cnf(6063,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|~aNaturalNumber0(esk2_2(xr,sdtasdt0(xn,xm)))|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[67,5827,theory(equality)])).
% cnf(6095,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[6063,4048,theory(equality)])).
% cnf(6096,plain,(aNaturalNumber0(sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[6095,239,theory(equality)])).
% cnf(6097,plain,(aNaturalNumber0(sdtasdt0(xn,xm))),inference(cn,[status(thm)],[6096,theory(equality)])).
% cnf(6154,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)|$false),inference(rw,[status(thm)],[535,6097,theory(equality)])).
% cnf(6155,plain,(sdtasdt0(xp,esk2_2(xp,sdtasdt0(xn,xm)))=sdtasdt0(xn,xm)),inference(cn,[status(thm)],[6154,theory(equality)])).
% cnf(6160,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|$false|~aNaturalNumber0(sdtasdt0(xp,xm))),inference(rw,[status(thm)],[442,6097,theory(equality)])).
% cnf(6161,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xp,xm))),inference(cn,[status(thm)],[6160,theory(equality)])).
% cnf(6350,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|~aNaturalNumber0(xm)|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[6161,67,theory(equality)])).
% cnf(6351,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[6350,218,theory(equality)])).
% cnf(6352,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))|$false|$false),inference(rw,[status(thm)],[6351,217,theory(equality)])).
% cnf(6353,plain,(~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))),inference(cn,[status(thm)],[6352,theory(equality)])).
% cnf(13374,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[677,67])).
% cnf(13390,plain,(sdtsldt0(sdtasdt0(xn,xm),xp)=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(spm,[status(thm)],[13374,6155,theory(equality)])).
% cnf(13445,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|~aNaturalNumber0(esk2_2(xp,sdtasdt0(xn,xm)))|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[13390,231,theory(equality)])).
% cnf(13446,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|$false|~aNaturalNumber0(xp)),inference(rw,[status(thm)],[13445,4335,theory(equality)])).
% cnf(13447,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp|$false|$false),inference(rw,[status(thm)],[13446,217,theory(equality)])).
% cnf(13448,plain,(xk=esk2_2(xp,sdtasdt0(xn,xm))|sz00=xp),inference(cn,[status(thm)],[13447,theory(equality)])).
% cnf(14133,plain,(sdtasdt0(xp,xk)=sdtasdt0(xn,xm)|xp=sz00),inference(spm,[status(thm)],[6155,13448,theory(equality)])).
% cnf(14193,plain,(xp=sz00|~sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))),inference(spm,[status(thm)],[6353,14133,theory(equality)])).
% cnf(14301,plain,(xp=sz00|$false),inference(rw,[status(thm)],[14193,243,theory(equality)])).
% cnf(14302,plain,(xp=sz00),inference(cn,[status(thm)],[14301,theory(equality)])).
% cnf(14715,plain,(isPrime0(sz00)),inference(rw,[status(thm)],[224,14302,theory(equality)])).
% cnf(14716,plain,($false),inference(sr,[status(thm)],[14715,268,theory(equality)])).
% cnf(14717,plain,($false),14716,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1158
% # ...of these trivial : 27
% # ...subsumed : 456
% # ...remaining for further processing: 675
% # Other redundant clauses eliminated : 74
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 18
% # Backward-rewritten : 312
% # Generated clauses : 4794
% # ...of the previous two non-trivial : 3968
% # Contextual simplify-reflections : 168
% # Paramodulations : 4642
% # Factorizations : 4
% # Equation resolutions : 148
% # Current number of processed clauses: 257
% # Positive orientable unit clauses: 48
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 203
% # Current number of unprocessed clauses: 1311
% # ...number of literals in the above : 5640
% # Clause-clause subsumption calls (NU) : 3562
% # Rec. Clause-clause subsumption calls : 2686
% # Unit Clause-clause subsumption calls : 53
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 34
% # Indexed BW rewrite successes : 23
% # Backwards rewriting index: 206 leaves, 1.23+/-0.797 terms/leaf
% # Paramod-from index: 140 leaves, 1.07+/-0.284 terms/leaf
% # Paramod-into index: 179 leaves, 1.16+/-0.694 terms/leaf
% # -------------------------------------------------
% # User time : 0.267 s
% # System time : 0.010 s
% # Total time : 0.277 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.55 CPU 0.63 WC
% FINAL PrfWatch: 0.55 CPU 0.63 WC
% SZS output end Solution for /tmp/SystemOnTPTP2425/NUM504+1.tptp
%
%------------------------------------------------------------------------------