TSTP Solution File: NUM475+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM475+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 : 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 19:25:48 EST 2010
% Result : Theorem 3.67s
% Output : Solution 3.67s
% 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/SystemOnTPTP27315/NUM475+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP27315/NUM475+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP27315/NUM475+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 27411
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.018 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.93 CPU 2.02 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtpldt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(15, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(16, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)=>![X3]:(X3=sdtmndt0(X2,X1)<=>(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2)))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(24, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(25, 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(28, axiom,((aNaturalNumber0(xl)&aNaturalNumber0(xm))&aNaturalNumber0(xn)),file('/tmp/SRASS.s.p', m__1324)).
% fof(29, axiom,(doDivides0(xl,xm)&doDivides0(xl,sdtpldt0(xm,xn))),file('/tmp/SRASS.s.p', m__1324_04)).
% fof(30, axiom,~(xl=sz00),file('/tmp/SRASS.s.p', m__1347)).
% fof(31, axiom,xp=sdtsldt0(xm,xl),file('/tmp/SRASS.s.p', m__1360)).
% fof(32, axiom,xq=sdtsldt0(sdtpldt0(xm,xn),xl),file('/tmp/SRASS.s.p', m__1379)).
% fof(33, axiom,sdtlseqdt0(xp,xq),file('/tmp/SRASS.s.p', m__1395)).
% fof(34, axiom,xr=sdtmndt0(xq,xp),file('/tmp/SRASS.s.p', m__1422)).
% fof(35, axiom,sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn),file('/tmp/SRASS.s.p', m__1459)).
% fof(42, conjecture,xn=sdtasdt0(xl,xr),file('/tmp/SRASS.s.p', m__)).
% fof(43, negated_conjecture,~(xn=sdtasdt0(xl,xr)),inference(assume_negation,[status(cth)],[42])).
% fof(46, negated_conjecture,~(xn=sdtasdt0(xl,xr)),inference(fof_simplification,[status(thm)],[43,theory(equality)])).
% fof(48, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(49, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[48])).
% cnf(50,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[49])).
% fof(51, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(52, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[51])).
% cnf(53,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[52])).
% fof(100, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[15])).
% fof(101, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[100])).
% fof(102, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[101])).
% fof(103, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&sdtpldt0(X4,esk1_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[102])).
% fof(104, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk1_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[103])).
% cnf(107,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[104])).
% fof(108, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(~(sdtlseqdt0(X1,X2))|![X3]:((~(X3=sdtmndt0(X2,X1))|(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&((~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|X3=sdtmndt0(X2,X1))))),inference(fof_nnf,[status(thm)],[16])).
% fof(109, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|(~(sdtlseqdt0(X4,X5))|![X6]:((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))))),inference(variable_rename,[status(thm)],[108])).
% fof(110, plain,![X4]:![X5]:![X6]:((((~(X6=sdtmndt0(X5,X4))|(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[109])).
% fof(111, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((sdtpldt0(X4,X6)=X5|~(X6=sdtmndt0(X5,X4)))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(sdtpldt0(X4,X6)=X5))|X6=sdtmndt0(X5,X4))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[110])).
% cnf(112,plain,(X3=sdtmndt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[111])).
% cnf(114,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[111])).
% fof(147, 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)],[24])).
% fof(148, 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)],[147])).
% fof(149, 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)],[148])).
% fof(150, 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)],[149])).
% fof(151, 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)],[150])).
% cnf(152,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[151])).
% cnf(153,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[151])).
% fof(155, 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)],[25])).
% fof(156, 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)],[155])).
% fof(157, 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)],[156])).
% fof(158, 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)],[157])).
% cnf(160,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[158])).
% cnf(161,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[158])).
% cnf(168,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[28])).
% cnf(169,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[28])).
% cnf(170,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[28])).
% cnf(171,plain,(doDivides0(xl,sdtpldt0(xm,xn))),inference(split_conjunct,[status(thm)],[29])).
% cnf(172,plain,(doDivides0(xl,xm)),inference(split_conjunct,[status(thm)],[29])).
% cnf(173,plain,(xl!=sz00),inference(split_conjunct,[status(thm)],[30])).
% cnf(174,plain,(xp=sdtsldt0(xm,xl)),inference(split_conjunct,[status(thm)],[31])).
% cnf(175,plain,(xq=sdtsldt0(sdtpldt0(xm,xn),xl)),inference(split_conjunct,[status(thm)],[32])).
% cnf(176,plain,(sdtlseqdt0(xp,xq)),inference(split_conjunct,[status(thm)],[33])).
% cnf(177,plain,(xr=sdtmndt0(xq,xp)),inference(split_conjunct,[status(thm)],[34])).
% cnf(178,plain,(sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn)),inference(split_conjunct,[status(thm)],[35])).
% cnf(198,negated_conjecture,(xn!=sdtasdt0(xl,xr)),inference(split_conjunct,[status(thm)],[46])).
% cnf(311,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[153,171,theory(equality)])).
% cnf(315,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[311,170,theory(equality)])).
% cnf(316,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[315,theory(equality)])).
% cnf(318,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[152,171,theory(equality)])).
% cnf(322,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[318,170,theory(equality)])).
% cnf(323,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[322,theory(equality)])).
% cnf(379,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[114,theory(equality)])).
% cnf(496,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|~doDivides0(xl,xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[161,174,theory(equality)])).
% cnf(497,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|~doDivides0(xl,sdtpldt0(xm,xn))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[161,175,theory(equality)])).
% cnf(498,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[496,172,theory(equality)])).
% cnf(499,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[498,170,theory(equality)])).
% cnf(500,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|$false|$false),inference(rw,[status(thm)],[499,169,theory(equality)])).
% cnf(501,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1),inference(cn,[status(thm)],[500,theory(equality)])).
% cnf(502,plain,(aNaturalNumber0(X1)|xp!=X1),inference(sr,[status(thm)],[501,173,theory(equality)])).
% cnf(503,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[497,171,theory(equality)])).
% cnf(504,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|$false|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[503,170,theory(equality)])).
% cnf(505,plain,(sz00=xl|aNaturalNumber0(X1)|xq!=X1|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[504,theory(equality)])).
% cnf(506,plain,(aNaturalNumber0(X1)|xq!=X1|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(sr,[status(thm)],[505,173,theory(equality)])).
% cnf(507,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[160,theory(equality)])).
% cnf(508,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|~doDivides0(xl,xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[160,174,theory(equality)])).
% cnf(510,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[508,172,theory(equality)])).
% cnf(511,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[510,170,theory(equality)])).
% cnf(512,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|$false|$false),inference(rw,[status(thm)],[511,169,theory(equality)])).
% cnf(513,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1),inference(cn,[status(thm)],[512,theory(equality)])).
% cnf(514,plain,(sdtasdt0(xl,X1)=xm|xp!=X1),inference(sr,[status(thm)],[513,173,theory(equality)])).
% cnf(620,plain,(sdtmndt0(X1,X2)=X3|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[112,107])).
% cnf(621,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtpldt0(X1,X2))),inference(er,[status(thm)],[620,theory(equality)])).
% cnf(762,plain,(sdtasdt0(xl,xp)=xm),inference(er,[status(thm)],[514,theory(equality)])).
% cnf(777,plain,(sdtpldt0(xm,sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn)),inference(rw,[status(thm)],[178,762,theory(equality)])).
% cnf(778,plain,(sdtpldt0(xm,sdtasdt0(xl,xr))=sdtpldt0(xm,xn)),inference(rw,[status(thm)],[777,762,theory(equality)])).
% cnf(812,plain,(aNaturalNumber0(xp)),inference(er,[status(thm)],[502,theory(equality)])).
% cnf(2285,plain,(aNaturalNumber0(X1)|xq!=X1|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[506,50,theory(equality)])).
% cnf(2286,plain,(aNaturalNumber0(X1)|xq!=X1|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[2285,168,theory(equality)])).
% cnf(2287,plain,(aNaturalNumber0(X1)|xq!=X1|$false|$false),inference(rw,[status(thm)],[2286,169,theory(equality)])).
% cnf(2288,plain,(aNaturalNumber0(X1)|xq!=X1),inference(cn,[status(thm)],[2287,theory(equality)])).
% cnf(2289,plain,(aNaturalNumber0(xq)),inference(er,[status(thm)],[2288,theory(equality)])).
% cnf(3040,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[316,50,theory(equality)])).
% cnf(3041,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[3040,168,theory(equality)])).
% cnf(3042,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[3041,169,theory(equality)])).
% cnf(3043,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[3042,theory(equality)])).
% cnf(3102,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[323,50,theory(equality)])).
% cnf(3103,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[3102,168,theory(equality)])).
% cnf(3104,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[3103,169,theory(equality)])).
% cnf(3105,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[3104,theory(equality)])).
% cnf(3110,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[53,3105,theory(equality)])).
% cnf(3139,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|$false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[3110,3043,theory(equality)])).
% cnf(3140,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|$false|$false),inference(rw,[status(thm)],[3139,170,theory(equality)])).
% cnf(3141,plain,(aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[3140,theory(equality)])).
% cnf(6771,plain,(aNaturalNumber0(sdtmndt0(xq,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[379,176,theory(equality)])).
% cnf(6795,plain,(aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[6771,177,theory(equality)])).
% cnf(6796,plain,(aNaturalNumber0(xr)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[6795,812,theory(equality)])).
% cnf(6797,plain,(aNaturalNumber0(xr)|$false|$false),inference(rw,[status(thm)],[6796,2289,theory(equality)])).
% cnf(6798,plain,(aNaturalNumber0(xr)),inference(cn,[status(thm)],[6797,theory(equality)])).
% cnf(27662,plain,(sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))=sdtpldt0(xm,xn)|sz00=xl|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[507,171,theory(equality)])).
% cnf(27743,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[27662,175,theory(equality)])).
% cnf(27744,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[27743,170,theory(equality)])).
% cnf(27745,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|$false|$false),inference(rw,[status(thm)],[27744,3141,theory(equality)])).
% cnf(27746,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl),inference(cn,[status(thm)],[27745,theory(equality)])).
% cnf(27747,plain,(sdtpldt0(xm,xn)=sdtasdt0(xl,xq)),inference(sr,[status(thm)],[27746,173,theory(equality)])).
% cnf(27799,plain,(sdtpldt0(xm,sdtasdt0(xl,xr))=sdtasdt0(xl,xq)),inference(rw,[status(thm)],[778,27747,theory(equality)])).
% cnf(71516,plain,(sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[621,50])).
% cnf(71530,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=xn|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[71516,27747,theory(equality)])).
% cnf(71531,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=sdtasdt0(xl,xr)|~aNaturalNumber0(sdtasdt0(xl,xr))|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[71516,27799,theory(equality)])).
% cnf(71618,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=xn|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[71530,168,theory(equality)])).
% cnf(71619,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=xn|$false|$false),inference(rw,[status(thm)],[71618,169,theory(equality)])).
% cnf(71620,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=xn),inference(cn,[status(thm)],[71619,theory(equality)])).
% cnf(71621,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=sdtasdt0(xl,xr)|~aNaturalNumber0(sdtasdt0(xl,xr))|$false),inference(rw,[status(thm)],[71531,169,theory(equality)])).
% cnf(71622,plain,(sdtmndt0(sdtasdt0(xl,xq),xm)=sdtasdt0(xl,xr)|~aNaturalNumber0(sdtasdt0(xl,xr))),inference(cn,[status(thm)],[71621,theory(equality)])).
% cnf(102373,plain,(xn=sdtasdt0(xl,xr)|~aNaturalNumber0(sdtasdt0(xl,xr))),inference(rw,[status(thm)],[71622,71620,theory(equality)])).
% cnf(102374,plain,(~aNaturalNumber0(sdtasdt0(xl,xr))),inference(sr,[status(thm)],[102373,198,theory(equality)])).
% cnf(102375,plain,(~aNaturalNumber0(xr)|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[102374,53,theory(equality)])).
% cnf(102378,plain,($false|~aNaturalNumber0(xl)),inference(rw,[status(thm)],[102375,6798,theory(equality)])).
% cnf(102379,plain,($false|$false),inference(rw,[status(thm)],[102378,170,theory(equality)])).
% cnf(102380,plain,($false),inference(cn,[status(thm)],[102379,theory(equality)])).
% cnf(102381,plain,($false),102380,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2271
% # ...of these trivial : 123
% # ...subsumed : 979
% # ...remaining for further processing: 1169
% # Other redundant clauses eliminated : 44
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 50
% # Backward-rewritten : 212
% # Generated clauses : 30688
% # ...of the previous two non-trivial : 27026
% # Contextual simplify-reflections : 194
% # Paramodulations : 30561
% # Factorizations : 2
% # Equation resolutions : 125
% # Current number of processed clauses: 906
% # Positive orientable unit clauses: 381
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 12
% # Non-unit-clauses : 513
% # Current number of unprocessed clauses: 21668
% # ...number of literals in the above : 90143
% # Clause-clause subsumption calls (NU) : 11262
% # Rec. Clause-clause subsumption calls : 6656
% # Unit Clause-clause subsumption calls : 205
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 181
% # Indexed BW rewrite successes : 116
% # Backwards rewriting index: 726 leaves, 1.19+/-0.917 terms/leaf
% # Paramod-from index: 538 leaves, 1.09+/-0.396 terms/leaf
% # Paramod-into index: 688 leaves, 1.16+/-0.846 terms/leaf
% # -------------------------------------------------
% # User time : 1.232 s
% # System time : 0.048 s
% # Total time : 1.280 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.69 CPU 2.78 WC
% FINAL PrfWatch: 2.69 CPU 2.78 WC
% SZS output end Solution for /tmp/SystemOnTPTP27315/NUM475+1.tptp
%
%------------------------------------------------------------------------------