TSTP Solution File: NUM474+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM474+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 19:25:12 EST 2010

% Result   : Theorem 2.39s
% Output   : Solution 2.39s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP26797/NUM474+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP26797/NUM474+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26797/NUM474+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 26893
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.019 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # 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(10, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),file('/tmp/SRASS.s.p', mAMDistr)).
% 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(41, conjecture,sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn),file('/tmp/SRASS.s.p', m__)).
% fof(42, negated_conjecture,~(sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn)),inference(assume_negation,[status(cth)],[41])).
% fof(45, negated_conjecture,~(sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))=sdtpldt0(sdtasdt0(xl,xp),xn)),inference(fof_simplification,[status(thm)],[42,theory(equality)])).
% fof(47, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtpldt0(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(48, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtpldt0(X3,X4))),inference(variable_rename,[status(thm)],[47])).
% cnf(49,plain,(aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(50, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(51, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[50])).
% cnf(52,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(75, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|(sdtasdt0(X1,sdtpldt0(X2,X3))=sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))&sdtasdt0(sdtpldt0(X2,X3),X1)=sdtpldt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1)))),inference(fof_nnf,[status(thm)],[10])).
% fof(76, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|(sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))&sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4)))),inference(variable_rename,[status(thm)],[75])).
% fof(77, plain,![X4]:![X5]:![X6]:((sdtasdt0(X4,sdtpldt0(X5,X6))=sdtpldt0(sdtasdt0(X4,X5),sdtasdt0(X4,X6))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))&(sdtasdt0(sdtpldt0(X5,X6),X4)=sdtpldt0(sdtasdt0(X5,X4),sdtasdt0(X6,X4))|((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6))))),inference(distribute,[status(thm)],[76])).
% cnf(79,plain,(sdtasdt0(X3,sdtpldt0(X2,X1))=sdtpldt0(sdtasdt0(X3,X2),sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[77])).
% fof(107, 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(108, 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)],[107])).
% fof(109, 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)],[108])).
% fof(110, 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)],[109])).
% cnf(112,plain,(sdtpldt0(X2,X3)=X1|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[110])).
% cnf(113,plain,(aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~sdtlseqdt0(X2,X1)|X3!=sdtmndt0(X1,X2)),inference(split_conjunct,[status(thm)],[110])).
% fof(146, 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(147, 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)],[146])).
% fof(148, 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)],[147])).
% fof(149, 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)],[148])).
% fof(150, 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)],[149])).
% cnf(151,plain,(X1=sdtasdt0(X2,esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[150])).
% cnf(152,plain,(aNaturalNumber0(esk2_2(X2,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)),inference(split_conjunct,[status(thm)],[150])).
% fof(154, 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(155, 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)],[154])).
% fof(156, 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)],[155])).
% fof(157, 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)],[156])).
% cnf(159,plain,(X2=sz00|X1=sdtasdt0(X2,X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[157])).
% cnf(160,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[157])).
% cnf(167,plain,(aNaturalNumber0(xn)),inference(split_conjunct,[status(thm)],[28])).
% cnf(168,plain,(aNaturalNumber0(xm)),inference(split_conjunct,[status(thm)],[28])).
% cnf(169,plain,(aNaturalNumber0(xl)),inference(split_conjunct,[status(thm)],[28])).
% cnf(170,plain,(doDivides0(xl,sdtpldt0(xm,xn))),inference(split_conjunct,[status(thm)],[29])).
% cnf(171,plain,(doDivides0(xl,xm)),inference(split_conjunct,[status(thm)],[29])).
% cnf(172,plain,(xl!=sz00),inference(split_conjunct,[status(thm)],[30])).
% cnf(173,plain,(xp=sdtsldt0(xm,xl)),inference(split_conjunct,[status(thm)],[31])).
% cnf(174,plain,(xq=sdtsldt0(sdtpldt0(xm,xn),xl)),inference(split_conjunct,[status(thm)],[32])).
% cnf(175,plain,(sdtlseqdt0(xp,xq)),inference(split_conjunct,[status(thm)],[33])).
% cnf(176,plain,(xr=sdtmndt0(xq,xp)),inference(split_conjunct,[status(thm)],[34])).
% cnf(196,negated_conjecture,(sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))!=sdtpldt0(sdtasdt0(xl,xp),xn)),inference(split_conjunct,[status(thm)],[45])).
% cnf(340,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[152,170,theory(equality)])).
% cnf(344,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[340,169,theory(equality)])).
% cnf(345,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[344,theory(equality)])).
% cnf(355,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[151,170,theory(equality)])).
% cnf(359,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[355,169,theory(equality)])).
% cnf(360,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[359,theory(equality)])).
% cnf(389,plain,(aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[113,theory(equality)])).
% cnf(449,plain,(sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[112,theory(equality)])).
% cnf(520,negated_conjecture,(sdtasdt0(xl,sdtpldt0(xp,xr))!=sdtpldt0(sdtasdt0(xl,xp),xn)|~aNaturalNumber0(xl)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)),inference(spm,[status(thm)],[196,79,theory(equality)])).
% cnf(535,negated_conjecture,(sdtasdt0(xl,sdtpldt0(xp,xr))!=sdtpldt0(sdtasdt0(xl,xp),xn)|$false|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[520,169,theory(equality)])).
% cnf(536,negated_conjecture,(sdtasdt0(xl,sdtpldt0(xp,xr))!=sdtpldt0(sdtasdt0(xl,xp),xn)|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[535,theory(equality)])).
% cnf(595,plain,(sz00=X1|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[160,theory(equality)])).
% cnf(596,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|~doDivides0(xl,xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[160,173,theory(equality)])).
% cnf(598,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[596,171,theory(equality)])).
% cnf(599,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[598,169,theory(equality)])).
% cnf(600,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1|$false|$false|$false),inference(rw,[status(thm)],[599,168,theory(equality)])).
% cnf(601,plain,(sz00=xl|aNaturalNumber0(X1)|xp!=X1),inference(cn,[status(thm)],[600,theory(equality)])).
% cnf(602,plain,(aNaturalNumber0(X1)|xp!=X1),inference(sr,[status(thm)],[601,172,theory(equality)])).
% cnf(607,plain,(sdtasdt0(X1,sdtsldt0(X2,X1))=X2|sz00=X1|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(er,[status(thm)],[159,theory(equality)])).
% cnf(608,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|~doDivides0(xl,xm)|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[159,173,theory(equality)])).
% cnf(610,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|~aNaturalNumber0(xl)|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[608,171,theory(equality)])).
% cnf(611,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[610,169,theory(equality)])).
% cnf(612,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1|$false|$false|$false),inference(rw,[status(thm)],[611,168,theory(equality)])).
% cnf(613,plain,(sdtasdt0(xl,X1)=xm|sz00=xl|xp!=X1),inference(cn,[status(thm)],[612,theory(equality)])).
% cnf(614,plain,(sdtasdt0(xl,X1)=xm|xp!=X1),inference(sr,[status(thm)],[613,172,theory(equality)])).
% cnf(750,plain,(sdtasdt0(xl,xp)=xm),inference(er,[status(thm)],[614,theory(equality)])).
% cnf(765,negated_conjecture,(sdtpldt0(xm,xn)!=sdtasdt0(xl,sdtpldt0(xp,xr))|~aNaturalNumber0(xp)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[536,750,theory(equality)])).
% cnf(801,plain,(aNaturalNumber0(xp)),inference(er,[status(thm)],[602,theory(equality)])).
% cnf(804,negated_conjecture,(sdtasdt0(xl,sdtpldt0(xp,xr))!=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[765,801,theory(equality)])).
% cnf(805,negated_conjecture,(sdtasdt0(xl,sdtpldt0(xp,xr))!=sdtpldt0(xm,xn)|~aNaturalNumber0(xr)),inference(cn,[status(thm)],[804,theory(equality)])).
% cnf(968,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[360,49,theory(equality)])).
% cnf(969,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[968,167,theory(equality)])).
% cnf(970,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)|$false|$false),inference(rw,[status(thm)],[969,168,theory(equality)])).
% cnf(971,plain,(sdtasdt0(xl,esk2_2(xl,sdtpldt0(xm,xn)))=sdtpldt0(xm,xn)),inference(cn,[status(thm)],[970,theory(equality)])).
% cnf(975,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xl)),inference(spm,[status(thm)],[52,971,theory(equality)])).
% cnf(995,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false),inference(rw,[status(thm)],[975,169,theory(equality)])).
% cnf(996,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|~aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[995,theory(equality)])).
% cnf(5884,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|~aNaturalNumber0(xn)|~aNaturalNumber0(xm)),inference(spm,[status(thm)],[345,49,theory(equality)])).
% cnf(5885,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|~aNaturalNumber0(xm)),inference(rw,[status(thm)],[5884,167,theory(equality)])).
% cnf(5886,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))|$false|$false),inference(rw,[status(thm)],[5885,168,theory(equality)])).
% cnf(5887,plain,(aNaturalNumber0(esk2_2(xl,sdtpldt0(xm,xn)))),inference(cn,[status(thm)],[5886,theory(equality)])).
% cnf(5888,plain,(aNaturalNumber0(sdtpldt0(xm,xn))|$false),inference(rw,[status(thm)],[996,5887,theory(equality)])).
% cnf(5889,plain,(aNaturalNumber0(sdtpldt0(xm,xn))),inference(cn,[status(thm)],[5888,theory(equality)])).
% cnf(8363,plain,(aNaturalNumber0(sdtmndt0(xq,xp))|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[389,175,theory(equality)])).
% cnf(8392,plain,(aNaturalNumber0(xr)|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[8363,176,theory(equality)])).
% cnf(8393,plain,(aNaturalNumber0(xr)|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[8392,801,theory(equality)])).
% cnf(8394,plain,(aNaturalNumber0(xr)|~aNaturalNumber0(xq)),inference(cn,[status(thm)],[8393,theory(equality)])).
% cnf(17821,plain,(sdtpldt0(xp,sdtmndt0(xq,xp))=xq|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(spm,[status(thm)],[449,175,theory(equality)])).
% cnf(17852,plain,(sdtpldt0(xp,xr)=xq|~aNaturalNumber0(xp)|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[17821,176,theory(equality)])).
% cnf(17853,plain,(sdtpldt0(xp,xr)=xq|$false|~aNaturalNumber0(xq)),inference(rw,[status(thm)],[17852,801,theory(equality)])).
% cnf(17854,plain,(sdtpldt0(xp,xr)=xq|~aNaturalNumber0(xq)),inference(cn,[status(thm)],[17853,theory(equality)])).
% cnf(49944,plain,(sz00=xl|aNaturalNumber0(sdtsldt0(sdtpldt0(xm,xn),xl))|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[595,170,theory(equality)])).
% cnf(49986,plain,(sz00=xl|aNaturalNumber0(xq)|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[49944,174,theory(equality)])).
% cnf(49987,plain,(sz00=xl|aNaturalNumber0(xq)|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[49986,169,theory(equality)])).
% cnf(49988,plain,(sz00=xl|aNaturalNumber0(xq)|$false|$false),inference(rw,[status(thm)],[49987,5889,theory(equality)])).
% cnf(49989,plain,(sz00=xl|aNaturalNumber0(xq)),inference(cn,[status(thm)],[49988,theory(equality)])).
% cnf(49990,plain,(aNaturalNumber0(xq)),inference(sr,[status(thm)],[49989,172,theory(equality)])).
% cnf(50006,plain,(aNaturalNumber0(xr)|$false),inference(rw,[status(thm)],[8394,49990,theory(equality)])).
% cnf(50007,plain,(aNaturalNumber0(xr)),inference(cn,[status(thm)],[50006,theory(equality)])).
% cnf(50010,plain,(sdtpldt0(xp,xr)=xq|$false),inference(rw,[status(thm)],[17854,49990,theory(equality)])).
% cnf(50011,plain,(sdtpldt0(xp,xr)=xq),inference(cn,[status(thm)],[50010,theory(equality)])).
% cnf(50064,negated_conjecture,(sdtasdt0(xl,xq)!=sdtpldt0(xm,xn)|~aNaturalNumber0(xr)),inference(rw,[status(thm)],[805,50011,theory(equality)])).
% cnf(50292,negated_conjecture,(sdtpldt0(xm,xn)!=sdtasdt0(xl,xq)|$false),inference(rw,[status(thm)],[50064,50007,theory(equality)])).
% cnf(50293,negated_conjecture,(sdtpldt0(xm,xn)!=sdtasdt0(xl,xq)),inference(cn,[status(thm)],[50292,theory(equality)])).
% cnf(50359,plain,(sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl))=sdtpldt0(xm,xn)|sz00=xl|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(spm,[status(thm)],[607,170,theory(equality)])).
% cnf(50401,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|~aNaturalNumber0(xl)|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[50359,174,theory(equality)])).
% cnf(50402,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|$false|~aNaturalNumber0(sdtpldt0(xm,xn))),inference(rw,[status(thm)],[50401,169,theory(equality)])).
% cnf(50403,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl|$false|$false),inference(rw,[status(thm)],[50402,5889,theory(equality)])).
% cnf(50404,plain,(sdtasdt0(xl,xq)=sdtpldt0(xm,xn)|sz00=xl),inference(cn,[status(thm)],[50403,theory(equality)])).
% cnf(50405,plain,(xl=sz00),inference(sr,[status(thm)],[50404,50293,theory(equality)])).
% cnf(50406,plain,($false),inference(sr,[status(thm)],[50405,172,theory(equality)])).
% cnf(50407,plain,($false),50406,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 1903
% # ...of these trivial                : 35
% # ...subsumed                        : 1112
% # ...remaining for further processing: 756
% # Other redundant clauses eliminated : 25
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 3
% # Backward-rewritten                 : 82
% # Generated clauses                  : 16824
% # ...of the previous two non-trivial : 15242
% # Contextual simplify-reflections    : 93
% # Paramodulations                    : 16754
% # Factorizations                     : 2
% # Equation resolutions               : 68
% # Current number of processed clauses: 670
% #    Positive orientable unit clauses: 203
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 114
% #    Non-unit-clauses                : 353
% # Current number of unprocessed clauses: 12890
% # ...number of literals in the above : 55622
% # Clause-clause subsumption calls (NU) : 8204
% # Rec. Clause-clause subsumption calls : 5537
% # Unit Clause-clause subsumption calls : 1697
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 64
% # Indexed BW rewrite successes       : 40
% # Backwards rewriting index:   531 leaves,   1.26+/-1.128 terms/leaf
% # Paramod-from index:          309 leaves,   1.08+/-0.340 terms/leaf
% # Paramod-into index:          488 leaves,   1.24+/-1.093 terms/leaf
% # -------------------------------------------------
% # User time              : 0.637 s
% # System time            : 0.035 s
% # Total time             : 0.672 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.39 CPU 1.50 WC
% FINAL PrfWatch: 1.39 CPU 1.50 WC
% SZS output end Solution for /tmp/SystemOnTPTP26797/NUM474+1.tptp
% 
%------------------------------------------------------------------------------