TSTP Solution File: NUM600+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM600+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Wed Dec 29 20:38:27 EST 2010
% Result : Theorem 4.89s
% Output : Solution 4.89s
% 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/SystemOnTPTP10722/NUM600+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP10722/NUM600+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10722/NUM600+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 10854
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.96 CPU 2.03 WC
% # Preprocessing time : 0.029 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mDefSub)).
% fof(8, axiom,(aSet0(szNzAzT0)&isCountable0(szNzAzT0)),file('/tmp/SRASS.s.p', mNATSet)).
% fof(27, axiom,![X1]:(aFunction0(X1)=>![X2]:(aSubsetOf0(X2,szDzozmdt0(X1))=>![X3]:(X3=sdtlcdtrc0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>?[X5]:(aElementOf0(X5,X2)&sdtlpdtrp0(X1,X5)=X4)))))),file('/tmp/SRASS.s.p', mDefSImg)).
% fof(30, axiom,(aSet0(xT)&isFinite0(xT)),file('/tmp/SRASS.s.p', m__3291)).
% fof(48, axiom,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1)))),file('/tmp/SRASS.s.p', m__4660)).
% fof(49, axiom,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(aElementOf0(X1,szNzAzT0)=>![X2]:((aSet0(X2)&aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk)))=>sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),file('/tmp/SRASS.s.p', m__4730)).
% fof(51, axiom,(aElementOf0(szDzizrdt0(xd),xT)&isCountable0(sdtlbdtrb0(xd,szDzizrdt0(xd)))),file('/tmp/SRASS.s.p', m__4854)).
% fof(52, axiom,(aSet0(xO)&xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),file('/tmp/SRASS.s.p', m__4891)).
% fof(61, axiom,![X1]:![X2]:((aFunction0(X1)&aElement0(X2))=>aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))),file('/tmp/SRASS.s.p', mPttSet)).
% fof(89, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(97, conjecture,![X1]:(aElementOf0(X1,xO)=>?[X2]:((aElementOf0(X2,szNzAzT0)&aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,X2)=X1)),file('/tmp/SRASS.s.p', m__)).
% fof(98, negated_conjecture,~(![X1]:(aElementOf0(X1,xO)=>?[X2]:((aElementOf0(X2,szNzAzT0)&aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd))))&sdtlpdtrp0(xe,X2)=X1))),inference(assume_negation,[status(cth)],[97])).
% fof(114, plain,![X1]:(~(aSet0(X1))|![X2]:((~(aSubsetOf0(X2,X1))|(aSet0(X2)&![X3]:(~(aElementOf0(X3,X2))|aElementOf0(X3,X1))))&((~(aSet0(X2))|?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,X1))))|aSubsetOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(115, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|?[X7]:(aElementOf0(X7,X5)&~(aElementOf0(X7,X4))))|aSubsetOf0(X5,X4)))),inference(variable_rename,[status(thm)],[114])).
% fof(116, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk1_2(X4,X5),X5)&~(aElementOf0(esk1_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[115])).
% fof(117, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk1_2(X4,X5),X5)&~(aElementOf0(esk1_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[116])).
% fof(118, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk1_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk1_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[117])).
% cnf(122,plain,(aElementOf0(X3,X1)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aElementOf0(X3,X2)),inference(split_conjunct,[status(thm)],[118])).
% cnf(141,plain,(aSet0(szNzAzT0)),inference(split_conjunct,[status(thm)],[8])).
% fof(208, plain,![X1]:(~(aFunction0(X1))|![X2]:(~(aSubsetOf0(X2,szDzozmdt0(X1)))|![X3]:((~(X3=sdtlcdtrc0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|?[X5]:(aElementOf0(X5,X2)&sdtlpdtrp0(X1,X5)=X4))&(![X5]:(~(aElementOf0(X5,X2))|~(sdtlpdtrp0(X1,X5)=X4))|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|![X5]:(~(aElementOf0(X5,X2))|~(sdtlpdtrp0(X1,X5)=X4)))&(aElementOf0(X4,X3)|?[X5]:(aElementOf0(X5,X2)&sdtlpdtrp0(X1,X5)=X4))))|X3=sdtlcdtrc0(X1,X2))))),inference(fof_nnf,[status(thm)],[27])).
% fof(209, plain,![X6]:(~(aFunction0(X6))|![X7]:(~(aSubsetOf0(X7,szDzozmdt0(X6)))|![X8]:((~(X8=sdtlcdtrc0(X6,X7))|(aSet0(X8)&![X9]:((~(aElementOf0(X9,X8))|?[X10]:(aElementOf0(X10,X7)&sdtlpdtrp0(X6,X10)=X9))&(![X11]:(~(aElementOf0(X11,X7))|~(sdtlpdtrp0(X6,X11)=X9))|aElementOf0(X9,X8)))))&((~(aSet0(X8))|?[X12]:((~(aElementOf0(X12,X8))|![X13]:(~(aElementOf0(X13,X7))|~(sdtlpdtrp0(X6,X13)=X12)))&(aElementOf0(X12,X8)|?[X14]:(aElementOf0(X14,X7)&sdtlpdtrp0(X6,X14)=X12))))|X8=sdtlcdtrc0(X6,X7))))),inference(variable_rename,[status(thm)],[208])).
% fof(210, plain,![X6]:(~(aFunction0(X6))|![X7]:(~(aSubsetOf0(X7,szDzozmdt0(X6)))|![X8]:((~(X8=sdtlcdtrc0(X6,X7))|(aSet0(X8)&![X9]:((~(aElementOf0(X9,X8))|(aElementOf0(esk4_4(X6,X7,X8,X9),X7)&sdtlpdtrp0(X6,esk4_4(X6,X7,X8,X9))=X9))&(![X11]:(~(aElementOf0(X11,X7))|~(sdtlpdtrp0(X6,X11)=X9))|aElementOf0(X9,X8)))))&((~(aSet0(X8))|((~(aElementOf0(esk5_3(X6,X7,X8),X8))|![X13]:(~(aElementOf0(X13,X7))|~(sdtlpdtrp0(X6,X13)=esk5_3(X6,X7,X8))))&(aElementOf0(esk5_3(X6,X7,X8),X8)|(aElementOf0(esk6_3(X6,X7,X8),X7)&sdtlpdtrp0(X6,esk6_3(X6,X7,X8))=esk5_3(X6,X7,X8)))))|X8=sdtlcdtrc0(X6,X7))))),inference(skolemize,[status(esa)],[209])).
% fof(211, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((((~(aElementOf0(X13,X7))|~(sdtlpdtrp0(X6,X13)=esk5_3(X6,X7,X8)))|~(aElementOf0(esk5_3(X6,X7,X8),X8)))&(aElementOf0(esk5_3(X6,X7,X8),X8)|(aElementOf0(esk6_3(X6,X7,X8),X7)&sdtlpdtrp0(X6,esk6_3(X6,X7,X8))=esk5_3(X6,X7,X8))))|~(aSet0(X8)))|X8=sdtlcdtrc0(X6,X7))&(((((~(aElementOf0(X11,X7))|~(sdtlpdtrp0(X6,X11)=X9))|aElementOf0(X9,X8))&(~(aElementOf0(X9,X8))|(aElementOf0(esk4_4(X6,X7,X8,X9),X7)&sdtlpdtrp0(X6,esk4_4(X6,X7,X8,X9))=X9)))&aSet0(X8))|~(X8=sdtlcdtrc0(X6,X7))))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6))),inference(shift_quantors,[status(thm)],[210])).
% fof(212, plain,![X6]:![X7]:![X8]:![X9]:![X11]:![X13]:((((((((~(aElementOf0(X13,X7))|~(sdtlpdtrp0(X6,X13)=esk5_3(X6,X7,X8)))|~(aElementOf0(esk5_3(X6,X7,X8),X8)))|~(aSet0(X8)))|X8=sdtlcdtrc0(X6,X7))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))&((((((aElementOf0(esk6_3(X6,X7,X8),X7)|aElementOf0(esk5_3(X6,X7,X8),X8))|~(aSet0(X8)))|X8=sdtlcdtrc0(X6,X7))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))&(((((sdtlpdtrp0(X6,esk6_3(X6,X7,X8))=esk5_3(X6,X7,X8)|aElementOf0(esk5_3(X6,X7,X8),X8))|~(aSet0(X8)))|X8=sdtlcdtrc0(X6,X7))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))))&(((((((~(aElementOf0(X11,X7))|~(sdtlpdtrp0(X6,X11)=X9))|aElementOf0(X9,X8))|~(X8=sdtlcdtrc0(X6,X7)))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))&(((((aElementOf0(esk4_4(X6,X7,X8,X9),X7)|~(aElementOf0(X9,X8)))|~(X8=sdtlcdtrc0(X6,X7)))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))&((((sdtlpdtrp0(X6,esk4_4(X6,X7,X8,X9))=X9|~(aElementOf0(X9,X8)))|~(X8=sdtlcdtrc0(X6,X7)))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6)))))&(((aSet0(X8)|~(X8=sdtlcdtrc0(X6,X7)))|~(aSubsetOf0(X7,szDzozmdt0(X6))))|~(aFunction0(X6))))),inference(distribute,[status(thm)],[211])).
% cnf(214,plain,(sdtlpdtrp0(X1,esk4_4(X1,X2,X3,X4))=X4|~aFunction0(X1)|~aSubsetOf0(X2,szDzozmdt0(X1))|X3!=sdtlcdtrc0(X1,X2)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[212])).
% cnf(215,plain,(aElementOf0(esk4_4(X1,X2,X3,X4),X2)|~aFunction0(X1)|~aSubsetOf0(X2,szDzozmdt0(X1))|X3!=sdtlcdtrc0(X1,X2)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[212])).
% cnf(234,plain,(aSet0(xT)),inference(split_conjunct,[status(thm)],[30])).
% fof(310, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|sdtlpdtrp0(xe,X1)=szmzizndt0(sdtlpdtrp0(xN,X1)))),inference(fof_nnf,[status(thm)],[48])).
% fof(311, plain,((aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)&![X2]:(~(aElementOf0(X2,szNzAzT0))|sdtlpdtrp0(xe,X2)=szmzizndt0(sdtlpdtrp0(xN,X2)))),inference(variable_rename,[status(thm)],[310])).
% fof(312, plain,![X2]:((~(aElementOf0(X2,szNzAzT0))|sdtlpdtrp0(xe,X2)=szmzizndt0(sdtlpdtrp0(xN,X2)))&(aFunction0(xe)&szDzozmdt0(xe)=szNzAzT0)),inference(shift_quantors,[status(thm)],[311])).
% cnf(313,plain,(szDzozmdt0(xe)=szNzAzT0),inference(split_conjunct,[status(thm)],[312])).
% cnf(314,plain,(aFunction0(xe)),inference(split_conjunct,[status(thm)],[312])).
% fof(316, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X1]:(~(aElementOf0(X1,szNzAzT0))|![X2]:((~(aSet0(X2))|~(aElementOf0(X2,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X1)),xk))))|sdtlpdtrp0(xd,X1)=sdtlpdtrp0(sdtlpdtrp0(xC,X1),X2)))),inference(fof_nnf,[status(thm)],[49])).
% fof(317, plain,((aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)&![X3]:(~(aElementOf0(X3,szNzAzT0))|![X4]:((~(aSet0(X4))|~(aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))))|sdtlpdtrp0(xd,X3)=sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4)))),inference(variable_rename,[status(thm)],[316])).
% fof(318, plain,![X3]:![X4]:((((~(aSet0(X4))|~(aElementOf0(X4,slbdtsldtrb0(sdtlpdtrp0(xN,szszuzczcdt0(X3)),xk))))|sdtlpdtrp0(xd,X3)=sdtlpdtrp0(sdtlpdtrp0(xC,X3),X4))|~(aElementOf0(X3,szNzAzT0)))&(aFunction0(xd)&szDzozmdt0(xd)=szNzAzT0)),inference(shift_quantors,[status(thm)],[317])).
% cnf(319,plain,(szDzozmdt0(xd)=szNzAzT0),inference(split_conjunct,[status(thm)],[318])).
% cnf(320,plain,(aFunction0(xd)),inference(split_conjunct,[status(thm)],[318])).
% cnf(324,plain,(aElementOf0(szDzizrdt0(xd),xT)),inference(split_conjunct,[status(thm)],[51])).
% cnf(325,plain,(xO=sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))),inference(split_conjunct,[status(thm)],[52])).
% fof(373, plain,![X1]:![X2]:((~(aFunction0(X1))|~(aElement0(X2)))|aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))),inference(fof_nnf,[status(thm)],[61])).
% fof(374, plain,![X3]:![X4]:((~(aFunction0(X3))|~(aElement0(X4)))|aSubsetOf0(sdtlbdtrb0(X3,X4),szDzozmdt0(X3))),inference(variable_rename,[status(thm)],[373])).
% cnf(375,plain,(aSubsetOf0(sdtlbdtrb0(X1,X2),szDzozmdt0(X1))|~aElement0(X2)|~aFunction0(X1)),inference(split_conjunct,[status(thm)],[374])).
% fof(530, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[89])).
% fof(531, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[530])).
% fof(532, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[531])).
% cnf(533,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[532])).
% fof(548, negated_conjecture,?[X1]:(aElementOf0(X1,xO)&![X2]:((~(aElementOf0(X2,szNzAzT0))|~(aElementOf0(X2,sdtlbdtrb0(xd,szDzizrdt0(xd)))))|~(sdtlpdtrp0(xe,X2)=X1))),inference(fof_nnf,[status(thm)],[98])).
% fof(549, negated_conjecture,?[X3]:(aElementOf0(X3,xO)&![X4]:((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))))|~(sdtlpdtrp0(xe,X4)=X3))),inference(variable_rename,[status(thm)],[548])).
% fof(550, negated_conjecture,(aElementOf0(esk25_0,xO)&![X4]:((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))))|~(sdtlpdtrp0(xe,X4)=esk25_0))),inference(skolemize,[status(esa)],[549])).
% fof(551, negated_conjecture,![X4]:(((~(aElementOf0(X4,szNzAzT0))|~(aElementOf0(X4,sdtlbdtrb0(xd,szDzizrdt0(xd)))))|~(sdtlpdtrp0(xe,X4)=esk25_0))&aElementOf0(esk25_0,xO)),inference(shift_quantors,[status(thm)],[550])).
% cnf(552,negated_conjecture,(aElementOf0(esk25_0,xO)),inference(split_conjunct,[status(thm)],[551])).
% cnf(553,negated_conjecture,(sdtlpdtrp0(xe,X1)!=esk25_0|~aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))|~aElementOf0(X1,szNzAzT0)),inference(split_conjunct,[status(thm)],[551])).
% cnf(688,plain,(aElement0(szDzizrdt0(xd))|~aSet0(xT)),inference(spm,[status(thm)],[533,324,theory(equality)])).
% cnf(702,plain,(aElement0(szDzizrdt0(xd))|$false),inference(rw,[status(thm)],[688,234,theory(equality)])).
% cnf(703,plain,(aElement0(szDzizrdt0(xd))),inference(cn,[status(thm)],[702,theory(equality)])).
% cnf(802,plain,(aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)|~aElement0(X1)|~aFunction0(xd)),inference(spm,[status(thm)],[375,319,theory(equality)])).
% cnf(806,plain,(aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)|~aElement0(X1)|$false),inference(rw,[status(thm)],[802,320,theory(equality)])).
% cnf(807,plain,(aSubsetOf0(sdtlbdtrb0(xd,X1),szNzAzT0)|~aElement0(X1)),inference(cn,[status(thm)],[806,theory(equality)])).
% cnf(1256,negated_conjecture,(sdtlpdtrp0(xe,esk4_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3))!=esk25_0|~aElementOf0(esk4_4(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)),X2,X3),szNzAzT0)|sdtlcdtrc0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))!=X2|~aFunction0(X1)|~aElementOf0(X3,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(X1))),inference(spm,[status(thm)],[553,215,theory(equality)])).
% cnf(2102,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,X2))|~aSet0(szNzAzT0)|~aElement0(X2)),inference(spm,[status(thm)],[122,807,theory(equality)])).
% cnf(2108,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,X2))|$false|~aElement0(X2)),inference(rw,[status(thm)],[2102,141,theory(equality)])).
% cnf(2109,plain,(aElementOf0(X1,szNzAzT0)|~aElementOf0(X1,sdtlbdtrb0(xd,X2))|~aElement0(X2)),inference(cn,[status(thm)],[2108,theory(equality)])).
% cnf(2250,plain,(aElementOf0(esk4_4(X1,sdtlbdtrb0(xd,X2),X3,X4),szNzAzT0)|~aElement0(X2)|sdtlcdtrc0(X1,sdtlbdtrb0(xd,X2))!=X3|~aFunction0(X1)|~aElementOf0(X4,X3)|~aSubsetOf0(sdtlbdtrb0(xd,X2),szDzozmdt0(X1))),inference(spm,[status(thm)],[2109,215,theory(equality)])).
% cnf(15784,negated_conjecture,(X2!=esk25_0|sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))!=X1|~aFunction0(xe)|~aElementOf0(esk4_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)|~aElementOf0(X2,X1)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(spm,[status(thm)],[1256,214,theory(equality)])).
% cnf(15793,negated_conjecture,(X2!=esk25_0|xO!=X1|~aFunction0(xe)|~aElementOf0(esk4_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)|~aElementOf0(X2,X1)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(rw,[status(thm)],[15784,325,theory(equality)])).
% cnf(15794,negated_conjecture,(X2!=esk25_0|xO!=X1|$false|~aElementOf0(esk4_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)|~aElementOf0(X2,X1)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(rw,[status(thm)],[15793,314,theory(equality)])).
% cnf(15795,negated_conjecture,(X2!=esk25_0|xO!=X1|$false|~aElementOf0(esk4_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)|~aElementOf0(X2,X1)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)),inference(rw,[status(thm)],[15794,313,theory(equality)])).
% cnf(15796,negated_conjecture,(X2!=esk25_0|xO!=X1|~aElementOf0(esk4_4(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)),X1,X2),szNzAzT0)|~aElementOf0(X2,X1)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)),inference(cn,[status(thm)],[15795,theory(equality)])).
% cnf(58530,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|sdtlcdtrc0(xe,sdtlbdtrb0(xd,szDzizrdt0(xd)))!=X2|~aElement0(szDzizrdt0(xd))|~aFunction0(xe)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(spm,[status(thm)],[15796,2250,theory(equality)])).
% cnf(58565,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|xO!=X2|~aElement0(szDzizrdt0(xd))|~aFunction0(xe)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(rw,[status(thm)],[58530,325,theory(equality)])).
% cnf(58566,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|xO!=X2|$false|~aFunction0(xe)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(rw,[status(thm)],[58565,703,theory(equality)])).
% cnf(58567,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|xO!=X2|$false|$false|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szDzozmdt0(xe))),inference(rw,[status(thm)],[58566,314,theory(equality)])).
% cnf(58568,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)|xO!=X2|$false|$false|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)),inference(rw,[status(thm)],[58567,313,theory(equality)])).
% cnf(58569,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aSubsetOf0(sdtlbdtrb0(xd,szDzizrdt0(xd)),szNzAzT0)),inference(cn,[status(thm)],[58568,theory(equality)])).
% cnf(58846,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|~aElement0(szDzizrdt0(xd))),inference(spm,[status(thm)],[58569,807,theory(equality)])).
% cnf(58858,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)|$false),inference(rw,[status(thm)],[58846,703,theory(equality)])).
% cnf(58859,negated_conjecture,(X1!=esk25_0|xO!=X2|~aElementOf0(X1,X2)),inference(cn,[status(thm)],[58858,theory(equality)])).
% cnf(58862,negated_conjecture,($false),inference(spm,[status(thm)],[58859,552,theory(equality)])).
% cnf(59049,negated_conjecture,($false),58862,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 6473
% # ...of these trivial : 141
% # ...subsumed : 3849
% # ...remaining for further processing: 2483
% # Other redundant clauses eliminated : 28
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 157
% # Backward-rewritten : 50
% # Generated clauses : 29033
% # ...of the previous two non-trivial : 27194
% # Contextual simplify-reflections : 2782
% # Paramodulations : 28869
% # Factorizations : 0
% # Equation resolutions : 163
% # Current number of processed clauses: 2083
% # Positive orientable unit clauses: 157
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 69
% # Non-unit-clauses : 1857
% # Current number of unprocessed clauses: 19513
% # ...number of literals in the above : 135727
% # Clause-clause subsumption calls (NU) : 249741
% # Rec. Clause-clause subsumption calls : 57445
% # Unit Clause-clause subsumption calls : 5520
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 65
% # Indexed BW rewrite successes : 21
% # Backwards rewriting index: 1924 leaves, 1.32+/-1.020 terms/leaf
% # Paramod-from index: 617 leaves, 1.11+/-0.531 terms/leaf
% # Paramod-into index: 1229 leaves, 1.25+/-0.904 terms/leaf
% # -------------------------------------------------
% # User time : 2.503 s
% # System time : 0.080 s
% # Total time : 2.583 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.67 CPU 3.74 WC
% FINAL PrfWatch: 3.67 CPU 3.74 WC
% SZS output end Solution for /tmp/SystemOnTPTP10722/NUM600+1.tptp
%
%------------------------------------------------------------------------------