TSTP Solution File: NUM543+2 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : NUM543+2 : 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 20:00:07 EST 2010

% Result   : Theorem 3.11s
% Output   : Solution 3.11s
% 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/SystemOnTPTP20649/NUM543+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP20649/NUM543+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20649/NUM543+2.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 20745
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.022 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.93 CPU 2.03 WC
% # SZS output start CNFRefutation.
% fof(5, axiom,![X1]:![X2]:((aElementOf0(X1,szNzAzT0)&aElementOf0(X2,szNzAzT0))=>(sdtlseqdt0(X1,X2)<=>sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)))),file('/tmp/SRASS.s.p', mSuccLess)).
% fof(12, axiom,(((aSet0(xS)&![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isFinite0(xS)),file('/tmp/SRASS.s.p', m__1986)).
% fof(28, axiom,![X1]:(((aSubsetOf0(X1,szNzAzT0)&isFinite0(X1))&~(X1=slcrc0))=>![X2]:(X2=szmzazxdt0(X1)<=>(aElementOf0(X2,X1)&![X3]:(aElementOf0(X3,X1)=>sdtlseqdt0(X3,X2))))),file('/tmp/SRASS.s.p', mDefMax)).
% fof(29, axiom,![X1]:(aElementOf0(X1,szNzAzT0)=>(aElementOf0(szszuzczcdt0(X1),szNzAzT0)&~(szszuzczcdt0(X1)=sz00))),file('/tmp/SRASS.s.p', mSuccNum)).
% fof(31, axiom,(aSet0(szNzAzT0)&isCountable0(szNzAzT0)),file('/tmp/SRASS.s.p', mNATSet)).
% fof(33, axiom,aElementOf0(sz00,szNzAzT0),file('/tmp/SRASS.s.p', mZeroNum)).
% fof(44, axiom,![X1]:(X1=slcrc0<=>(aSet0(X1)&~(?[X2]:aElementOf0(X2,X1)))),file('/tmp/SRASS.s.p', mDefEmp)).
% fof(56, conjecture,?[X1]:(aElementOf0(X1,szNzAzT0)&((aSet0(slbdtrb0(X1))&![X2]:(aElementOf0(X2,slbdtrb0(X1))<=>(aElementOf0(X2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X2),X1))))=>(![X2]:(aElementOf0(X2,xS)=>aElementOf0(X2,slbdtrb0(X1)))|aSubsetOf0(xS,slbdtrb0(X1))))),file('/tmp/SRASS.s.p', m__)).
% fof(57, negated_conjecture,~(?[X1]:(aElementOf0(X1,szNzAzT0)&((aSet0(slbdtrb0(X1))&![X2]:(aElementOf0(X2,slbdtrb0(X1))<=>(aElementOf0(X2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X2),X1))))=>(![X2]:(aElementOf0(X2,xS)=>aElementOf0(X2,slbdtrb0(X1)))|aSubsetOf0(xS,slbdtrb0(X1)))))),inference(assume_negation,[status(cth)],[56])).
% fof(87, plain,![X1]:![X2]:((~(aElementOf0(X1,szNzAzT0))|~(aElementOf0(X2,szNzAzT0)))|((~(sdtlseqdt0(X1,X2))|sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)))&(~(sdtlseqdt0(szszuzczcdt0(X1),szszuzczcdt0(X2)))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(88, plain,![X3]:![X4]:((~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0)))|((~(sdtlseqdt0(X3,X4))|sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)))&(~(sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)))|sdtlseqdt0(X3,X4)))),inference(variable_rename,[status(thm)],[87])).
% fof(89, plain,![X3]:![X4]:(((~(sdtlseqdt0(X3,X4))|sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)))|(~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0))))&((~(sdtlseqdt0(szszuzczcdt0(X3),szszuzczcdt0(X4)))|sdtlseqdt0(X3,X4))|(~(aElementOf0(X3,szNzAzT0))|~(aElementOf0(X4,szNzAzT0))))),inference(distribute,[status(thm)],[88])).
% cnf(91,plain,(sdtlseqdt0(szszuzczcdt0(X2),szszuzczcdt0(X1))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(X2,szNzAzT0)|~sdtlseqdt0(X2,X1)),inference(split_conjunct,[status(thm)],[89])).
% fof(112, plain,(((aSet0(xS)&![X1]:(~(aElementOf0(X1,xS))|aElementOf0(X1,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isFinite0(xS)),inference(fof_nnf,[status(thm)],[12])).
% fof(113, plain,(((aSet0(xS)&![X2]:(~(aElementOf0(X2,xS))|aElementOf0(X2,szNzAzT0)))&aSubsetOf0(xS,szNzAzT0))&isFinite0(xS)),inference(variable_rename,[status(thm)],[112])).
% fof(114, plain,![X2]:((((~(aElementOf0(X2,xS))|aElementOf0(X2,szNzAzT0))&aSet0(xS))&aSubsetOf0(xS,szNzAzT0))&isFinite0(xS)),inference(shift_quantors,[status(thm)],[113])).
% cnf(115,plain,(isFinite0(xS)),inference(split_conjunct,[status(thm)],[114])).
% cnf(116,plain,(aSubsetOf0(xS,szNzAzT0)),inference(split_conjunct,[status(thm)],[114])).
% cnf(118,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,xS)),inference(split_conjunct,[status(thm)],[114])).
% fof(180, plain,![X1]:(((~(aSubsetOf0(X1,szNzAzT0))|~(isFinite0(X1)))|X1=slcrc0)|![X2]:((~(X2=szmzazxdt0(X1))|(aElementOf0(X2,X1)&![X3]:(~(aElementOf0(X3,X1))|sdtlseqdt0(X3,X2))))&((~(aElementOf0(X2,X1))|?[X3]:(aElementOf0(X3,X1)&~(sdtlseqdt0(X3,X2))))|X2=szmzazxdt0(X1)))),inference(fof_nnf,[status(thm)],[28])).
% fof(181, plain,![X4]:(((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0)|![X5]:((~(X5=szmzazxdt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X6,X5))))&((~(aElementOf0(X5,X4))|?[X7]:(aElementOf0(X7,X4)&~(sdtlseqdt0(X7,X5))))|X5=szmzazxdt0(X4)))),inference(variable_rename,[status(thm)],[180])).
% fof(182, plain,![X4]:(((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0)|![X5]:((~(X5=szmzazxdt0(X4))|(aElementOf0(X5,X4)&![X6]:(~(aElementOf0(X6,X4))|sdtlseqdt0(X6,X5))))&((~(aElementOf0(X5,X4))|(aElementOf0(esk4_2(X4,X5),X4)&~(sdtlseqdt0(esk4_2(X4,X5),X5))))|X5=szmzazxdt0(X4)))),inference(skolemize,[status(esa)],[181])).
% fof(183, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X6,X5))&aElementOf0(X5,X4))|~(X5=szmzazxdt0(X4)))&((~(aElementOf0(X5,X4))|(aElementOf0(esk4_2(X4,X5),X4)&~(sdtlseqdt0(esk4_2(X4,X5),X5))))|X5=szmzazxdt0(X4)))|((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0)),inference(shift_quantors,[status(thm)],[182])).
% fof(184, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X4))|sdtlseqdt0(X6,X5))|~(X5=szmzazxdt0(X4)))|((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0))&((aElementOf0(X5,X4)|~(X5=szmzazxdt0(X4)))|((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0)))&((((aElementOf0(esk4_2(X4,X5),X4)|~(aElementOf0(X5,X4)))|X5=szmzazxdt0(X4))|((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0))&(((~(sdtlseqdt0(esk4_2(X4,X5),X5))|~(aElementOf0(X5,X4)))|X5=szmzazxdt0(X4))|((~(aSubsetOf0(X4,szNzAzT0))|~(isFinite0(X4)))|X4=slcrc0)))),inference(distribute,[status(thm)],[183])).
% cnf(187,plain,(X1=slcrc0|aElementOf0(X2,X1)|~isFinite0(X1)|~aSubsetOf0(X1,szNzAzT0)|X2!=szmzazxdt0(X1)),inference(split_conjunct,[status(thm)],[184])).
% cnf(188,plain,(X1=slcrc0|sdtlseqdt0(X3,X2)|~isFinite0(X1)|~aSubsetOf0(X1,szNzAzT0)|X2!=szmzazxdt0(X1)|~aElementOf0(X3,X1)),inference(split_conjunct,[status(thm)],[184])).
% fof(189, plain,![X1]:(~(aElementOf0(X1,szNzAzT0))|(aElementOf0(szszuzczcdt0(X1),szNzAzT0)&~(szszuzczcdt0(X1)=sz00))),inference(fof_nnf,[status(thm)],[29])).
% fof(190, plain,![X2]:(~(aElementOf0(X2,szNzAzT0))|(aElementOf0(szszuzczcdt0(X2),szNzAzT0)&~(szszuzczcdt0(X2)=sz00))),inference(variable_rename,[status(thm)],[189])).
% fof(191, plain,![X2]:((aElementOf0(szszuzczcdt0(X2),szNzAzT0)|~(aElementOf0(X2,szNzAzT0)))&(~(szszuzczcdt0(X2)=sz00)|~(aElementOf0(X2,szNzAzT0)))),inference(distribute,[status(thm)],[190])).
% cnf(193,plain,(aElementOf0(szszuzczcdt0(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[191])).
% cnf(201,plain,(aSet0(szNzAzT0)),inference(split_conjunct,[status(thm)],[31])).
% cnf(206,plain,(aElementOf0(sz00,szNzAzT0)),inference(split_conjunct,[status(thm)],[33])).
% fof(244, plain,![X1]:((~(X1=slcrc0)|(aSet0(X1)&![X2]:~(aElementOf0(X2,X1))))&((~(aSet0(X1))|?[X2]:aElementOf0(X2,X1))|X1=slcrc0)),inference(fof_nnf,[status(thm)],[44])).
% fof(245, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|?[X5]:aElementOf0(X5,X3))|X3=slcrc0)),inference(variable_rename,[status(thm)],[244])).
% fof(246, plain,![X3]:((~(X3=slcrc0)|(aSet0(X3)&![X4]:~(aElementOf0(X4,X3))))&((~(aSet0(X3))|aElementOf0(esk7_1(X3),X3))|X3=slcrc0)),inference(skolemize,[status(esa)],[245])).
% fof(247, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))&aSet0(X3))|~(X3=slcrc0))&((~(aSet0(X3))|aElementOf0(esk7_1(X3),X3))|X3=slcrc0)),inference(shift_quantors,[status(thm)],[246])).
% fof(248, plain,![X3]:![X4]:(((~(aElementOf0(X4,X3))|~(X3=slcrc0))&(aSet0(X3)|~(X3=slcrc0)))&((~(aSet0(X3))|aElementOf0(esk7_1(X3),X3))|X3=slcrc0)),inference(distribute,[status(thm)],[247])).
% cnf(249,plain,(X1=slcrc0|aElementOf0(esk7_1(X1),X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[248])).
% cnf(251,plain,(X1!=slcrc0|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[248])).
% fof(307, negated_conjecture,![X1]:(~(aElementOf0(X1,szNzAzT0))|((aSet0(slbdtrb0(X1))&![X2]:((~(aElementOf0(X2,slbdtrb0(X1)))|(aElementOf0(X2,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X2),X1)))&((~(aElementOf0(X2,szNzAzT0))|~(sdtlseqdt0(szszuzczcdt0(X2),X1)))|aElementOf0(X2,slbdtrb0(X1)))))&(?[X2]:(aElementOf0(X2,xS)&~(aElementOf0(X2,slbdtrb0(X1))))&~(aSubsetOf0(xS,slbdtrb0(X1)))))),inference(fof_nnf,[status(thm)],[57])).
% fof(308, negated_conjecture,![X3]:(~(aElementOf0(X3,szNzAzT0))|((aSet0(slbdtrb0(X3))&![X4]:((~(aElementOf0(X4,slbdtrb0(X3)))|(aElementOf0(X4,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X4),X3)))&((~(aElementOf0(X4,szNzAzT0))|~(sdtlseqdt0(szszuzczcdt0(X4),X3)))|aElementOf0(X4,slbdtrb0(X3)))))&(?[X5]:(aElementOf0(X5,xS)&~(aElementOf0(X5,slbdtrb0(X3))))&~(aSubsetOf0(xS,slbdtrb0(X3)))))),inference(variable_rename,[status(thm)],[307])).
% fof(309, negated_conjecture,![X3]:(~(aElementOf0(X3,szNzAzT0))|((aSet0(slbdtrb0(X3))&![X4]:((~(aElementOf0(X4,slbdtrb0(X3)))|(aElementOf0(X4,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X4),X3)))&((~(aElementOf0(X4,szNzAzT0))|~(sdtlseqdt0(szszuzczcdt0(X4),X3)))|aElementOf0(X4,slbdtrb0(X3)))))&((aElementOf0(esk10_1(X3),xS)&~(aElementOf0(esk10_1(X3),slbdtrb0(X3))))&~(aSubsetOf0(xS,slbdtrb0(X3)))))),inference(skolemize,[status(esa)],[308])).
% fof(310, negated_conjecture,![X3]:![X4]:(((((~(aElementOf0(X4,slbdtrb0(X3)))|(aElementOf0(X4,szNzAzT0)&sdtlseqdt0(szszuzczcdt0(X4),X3)))&((~(aElementOf0(X4,szNzAzT0))|~(sdtlseqdt0(szszuzczcdt0(X4),X3)))|aElementOf0(X4,slbdtrb0(X3))))&aSet0(slbdtrb0(X3)))&((aElementOf0(esk10_1(X3),xS)&~(aElementOf0(esk10_1(X3),slbdtrb0(X3))))&~(aSubsetOf0(xS,slbdtrb0(X3)))))|~(aElementOf0(X3,szNzAzT0))),inference(shift_quantors,[status(thm)],[309])).
% fof(311, negated_conjecture,![X3]:![X4]:((((((aElementOf0(X4,szNzAzT0)|~(aElementOf0(X4,slbdtrb0(X3))))|~(aElementOf0(X3,szNzAzT0)))&((sdtlseqdt0(szszuzczcdt0(X4),X3)|~(aElementOf0(X4,slbdtrb0(X3))))|~(aElementOf0(X3,szNzAzT0))))&(((~(aElementOf0(X4,szNzAzT0))|~(sdtlseqdt0(szszuzczcdt0(X4),X3)))|aElementOf0(X4,slbdtrb0(X3)))|~(aElementOf0(X3,szNzAzT0))))&(aSet0(slbdtrb0(X3))|~(aElementOf0(X3,szNzAzT0))))&(((aElementOf0(esk10_1(X3),xS)|~(aElementOf0(X3,szNzAzT0)))&(~(aElementOf0(esk10_1(X3),slbdtrb0(X3)))|~(aElementOf0(X3,szNzAzT0))))&(~(aSubsetOf0(xS,slbdtrb0(X3)))|~(aElementOf0(X3,szNzAzT0))))),inference(distribute,[status(thm)],[310])).
% cnf(313,negated_conjecture,(~aElementOf0(X1,szNzAzT0)|~aElementOf0(esk10_1(X1),slbdtrb0(X1))),inference(split_conjunct,[status(thm)],[311])).
% cnf(314,negated_conjecture,(aElementOf0(esk10_1(X1),xS)|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[311])).
% cnf(316,negated_conjecture,(aElementOf0(X2,slbdtrb0(X1))|~aElementOf0(X1,szNzAzT0)|~sdtlseqdt0(szszuzczcdt0(X2),X1)|~aElementOf0(X2,szNzAzT0)),inference(split_conjunct,[status(thm)],[311])).
% cnf(330,plain,(sdtlseqdt0(X3,X2)|szmzazxdt0(X1)!=X2|~isFinite0(X1)|~aElementOf0(X3,X1)|~aSubsetOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[188,251])).
% cnf(346,plain,(slcrc0!=szNzAzT0),inference(spm,[status(thm)],[251,206,theory(equality)])).
% cnf(348,negated_conjecture,(slcrc0!=xS|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[251,314,theory(equality)])).
% cnf(349,negated_conjecture,(aElementOf0(esk10_1(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[118,314,theory(equality)])).
% cnf(461,negated_conjecture,(aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))|~aElementOf0(X1,szNzAzT0)|~aElementOf0(szszuzczcdt0(X2),szNzAzT0)|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)),inference(spm,[status(thm)],[316,91,theory(equality)])).
% cnf(528,plain,(slcrc0=X1|aElementOf0(szmzazxdt0(X1),X1)|~isFinite0(X1)|~aSubsetOf0(X1,szNzAzT0)),inference(er,[status(thm)],[187,theory(equality)])).
% cnf(607,negated_conjecture,(sdtlseqdt0(esk10_1(X1),X2)|szmzazxdt0(xS)!=X2|~isFinite0(xS)|~aSubsetOf0(xS,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[330,314,theory(equality)])).
% cnf(617,negated_conjecture,(sdtlseqdt0(esk10_1(X1),X2)|szmzazxdt0(xS)!=X2|$false|~aSubsetOf0(xS,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[607,115,theory(equality)])).
% cnf(618,negated_conjecture,(sdtlseqdt0(esk10_1(X1),X2)|szmzazxdt0(xS)!=X2|$false|$false|~aElementOf0(X1,szNzAzT0)),inference(rw,[status(thm)],[617,116,theory(equality)])).
% cnf(619,negated_conjecture,(sdtlseqdt0(esk10_1(X1),X2)|szmzazxdt0(xS)!=X2|~aElementOf0(X1,szNzAzT0)),inference(cn,[status(thm)],[618,theory(equality)])).
% cnf(731,negated_conjecture,(slcrc0=szNzAzT0|xS!=slcrc0|~aSet0(szNzAzT0)),inference(spm,[status(thm)],[348,249,theory(equality)])).
% cnf(741,negated_conjecture,(slcrc0=szNzAzT0|xS!=slcrc0|$false),inference(rw,[status(thm)],[731,201,theory(equality)])).
% cnf(742,negated_conjecture,(slcrc0=szNzAzT0|xS!=slcrc0),inference(cn,[status(thm)],[741,theory(equality)])).
% cnf(743,negated_conjecture,(xS!=slcrc0),inference(sr,[status(thm)],[742,346,theory(equality)])).
% cnf(1732,negated_conjecture,(aElementOf0(X1,slbdtrb0(szszuzczcdt0(X2)))|~sdtlseqdt0(X1,X2)|~aElementOf0(X2,szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[461,193])).
% cnf(1734,negated_conjecture,(~aElementOf0(szszuzczcdt0(X1),szNzAzT0)|~sdtlseqdt0(esk10_1(szszuzczcdt0(X1)),X1)|~aElementOf0(esk10_1(szszuzczcdt0(X1)),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(spm,[status(thm)],[313,1732,theory(equality)])).
% cnf(3174,plain,(aElementOf0(szmzazxdt0(xS),szNzAzT0)|slcrc0=xS|~isFinite0(xS)|~aSubsetOf0(xS,szNzAzT0)),inference(spm,[status(thm)],[118,528,theory(equality)])).
% cnf(3194,plain,(aElementOf0(szmzazxdt0(xS),szNzAzT0)|slcrc0=xS|$false|~aSubsetOf0(xS,szNzAzT0)),inference(rw,[status(thm)],[3174,115,theory(equality)])).
% cnf(3195,plain,(aElementOf0(szmzazxdt0(xS),szNzAzT0)|slcrc0=xS|$false|$false),inference(rw,[status(thm)],[3194,116,theory(equality)])).
% cnf(3196,plain,(aElementOf0(szmzazxdt0(xS),szNzAzT0)|slcrc0=xS),inference(cn,[status(thm)],[3195,theory(equality)])).
% cnf(3197,plain,(aElementOf0(szmzazxdt0(xS),szNzAzT0)),inference(sr,[status(thm)],[3196,743,theory(equality)])).
% cnf(35833,negated_conjecture,(~sdtlseqdt0(esk10_1(szszuzczcdt0(X1)),X1)|~aElementOf0(szszuzczcdt0(X1),szNzAzT0)|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[1734,349])).
% cnf(35834,negated_conjecture,(~sdtlseqdt0(esk10_1(szszuzczcdt0(X1)),X1)|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[35833,193])).
% cnf(35904,negated_conjecture,(~aElementOf0(X1,szNzAzT0)|szmzazxdt0(xS)!=X1|~aElementOf0(szszuzczcdt0(X1),szNzAzT0)),inference(spm,[status(thm)],[35834,619,theory(equality)])).
% cnf(39827,negated_conjecture,(szmzazxdt0(xS)!=X1|~aElementOf0(X1,szNzAzT0)),inference(csr,[status(thm)],[35904,193])).
% cnf(39856,negated_conjecture,($false),inference(spm,[status(thm)],[39827,3197,theory(equality)])).
% cnf(39873,negated_conjecture,($false),39856,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 3991
% # ...of these trivial                : 43
% # ...subsumed                        : 2593
% # ...remaining for further processing: 1355
% # Other redundant clauses eliminated : 15
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 137
% # Backward-rewritten                 : 32
% # Generated clauses                  : 20115
% # ...of the previous two non-trivial : 18579
% # Contextual simplify-reflections    : 1929
% # Paramodulations                    : 20009
% # Factorizations                     : 0
% # Equation resolutions               : 105
% # Current number of processed clauses: 1080
% #    Positive orientable unit clauses: 56
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 45
% #    Non-unit-clauses                : 979
% # Current number of unprocessed clauses: 13380
% # ...number of literals in the above : 80981
% # Clause-clause subsumption calls (NU) : 54045
% # Rec. Clause-clause subsumption calls : 31020
% # Unit Clause-clause subsumption calls : 478
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 25
% # Indexed BW rewrite successes       : 16
% # Backwards rewriting index:   706 leaves,   1.49+/-1.158 terms/leaf
% # Paramod-from index:          314 leaves,   1.19+/-0.669 terms/leaf
% # Paramod-into index:          500 leaves,   1.42+/-1.037 terms/leaf
% # -------------------------------------------------
% # User time              : 1.319 s
% # System time            : 0.049 s
% # Total time             : 1.368 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.05 CPU 2.16 WC
% FINAL PrfWatch: 2.05 CPU 2.16 WC
% SZS output end Solution for /tmp/SystemOnTPTP20649/NUM543+2.tptp
% 
%------------------------------------------------------------------------------