TSTP Solution File: NUM534+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM534+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 : art04.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 19:57:09 EST 2010
% Result : Theorem 1.09s
% Output : Solution 1.09s
% 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/SystemOnTPTP17972/NUM534+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17972/NUM534+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17972/NUM534+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 18068
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(3, axiom,![X1]:![X2]:((aSet0(X1)&aElement0(X2))=>![X3]:(X3=sdtmndt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(4, axiom,aSet0(xS),file('/tmp/SRASS.s.p', m__617)).
% fof(5, axiom,aElementOf0(xx,xS),file('/tmp/SRASS.s.p', m__617_02)).
% fof(7, 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,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mSubASymm)).
% fof(19, conjecture,((aSet0(sdtmndt0(xS,xx))&![X1]:(aElementOf0(X1,sdtmndt0(xS,xx))<=>((aElement0(X1)&aElementOf0(X1,xS))&~(X1=xx))))=>((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))<=>(aElement0(X1)&(aElementOf0(X1,sdtmndt0(xS,xx))|X1=xx))))=>sdtpldt0(sdtmndt0(xS,xx),xx)=xS)),file('/tmp/SRASS.s.p', m__)).
% fof(20, negated_conjecture,~(((aSet0(sdtmndt0(xS,xx))&![X1]:(aElementOf0(X1,sdtmndt0(xS,xx))<=>((aElement0(X1)&aElementOf0(X1,xS))&~(X1=xx))))=>((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))<=>(aElement0(X1)&(aElementOf0(X1,sdtmndt0(xS,xx))|X1=xx))))=>sdtpldt0(sdtmndt0(xS,xx),xx)=xS))),inference(assume_negation,[status(cth)],[19])).
% fof(26, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(27, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[26])).
% fof(28, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[27])).
% cnf(29,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[28])).
% fof(44, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElement0(X2)))|![X3]:((~(X3=sdtmndt0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))&(((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2)|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2))&(aElementOf0(X4,X3)|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))|X3=sdtmndt0(X1,X2)))),inference(fof_nnf,[status(thm)],[3])).
% fof(45, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtmndt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))))&((~(aSet0(X7))|?[X9]:((~(aElementOf0(X9,X7))|((~(aElement0(X9))|~(aElementOf0(X9,X5)))|X9=X6))&(aElementOf0(X9,X7)|((aElement0(X9)&aElementOf0(X9,X5))&~(X9=X6)))))|X7=sdtmndt0(X5,X6)))),inference(variable_rename,[status(thm)],[44])).
% fof(46, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtmndt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))))&((~(aSet0(X7))|((~(aElementOf0(esk2_3(X5,X6,X7),X7))|((~(aElement0(esk2_3(X5,X6,X7)))|~(aElementOf0(esk2_3(X5,X6,X7),X5)))|esk2_3(X5,X6,X7)=X6))&(aElementOf0(esk2_3(X5,X6,X7),X7)|((aElement0(esk2_3(X5,X6,X7))&aElementOf0(esk2_3(X5,X6,X7),X5))&~(esk2_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))),inference(skolemize,[status(esa)],[45])).
% fof(47, plain,![X5]:![X6]:![X7]:![X8]:((((((~(aElementOf0(X8,X7))|((aElement0(X8)&aElementOf0(X8,X5))&~(X8=X6)))&(((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7)))&aSet0(X7))|~(X7=sdtmndt0(X5,X6)))&((~(aSet0(X7))|((~(aElementOf0(esk2_3(X5,X6,X7),X7))|((~(aElement0(esk2_3(X5,X6,X7)))|~(aElementOf0(esk2_3(X5,X6,X7),X5)))|esk2_3(X5,X6,X7)=X6))&(aElementOf0(esk2_3(X5,X6,X7),X7)|((aElement0(esk2_3(X5,X6,X7))&aElementOf0(esk2_3(X5,X6,X7),X5))&~(esk2_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[46])).
% fof(48, plain,![X5]:![X6]:![X7]:![X8]:((((((((aElement0(X8)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&(((aElementOf0(X8,X5)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((~(X8=X6)|~(aElementOf0(X8,X7)))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElement0(X8))|~(aElementOf0(X8,X5)))|X8=X6)|aElementOf0(X8,X7))|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&((aSet0(X7)|~(X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElementOf0(esk2_3(X5,X6,X7),X7))|((~(aElement0(esk2_3(X5,X6,X7)))|~(aElementOf0(esk2_3(X5,X6,X7),X5)))|esk2_3(X5,X6,X7)=X6))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((((aElement0(esk2_3(X5,X6,X7))|aElementOf0(esk2_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(esk2_3(X5,X6,X7),X5)|aElementOf0(esk2_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&((((~(esk2_3(X5,X6,X7)=X6)|aElementOf0(esk2_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[47])).
% cnf(54,plain,(aElementOf0(X4,X3)|X4=X1|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X2)|~aElement0(X4)),inference(split_conjunct,[status(thm)],[48])).
% cnf(56,plain,(aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[48])).
% cnf(58,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[4])).
% cnf(59,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[5])).
% fof(68, 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)],[7])).
% fof(69, 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)],[68])).
% fof(70, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk4_2(X4,X5),X5)&~(aElementOf0(esk4_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[69])).
% fof(71, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk4_2(X4,X5),X5)&~(aElementOf0(esk4_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[70])).
% fof(72, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk4_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk4_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[71])).
% cnf(73,plain,(aSubsetOf0(X2,X1)|~aSet0(X1)|~aSet0(X2)|~aElementOf0(esk4_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[72])).
% cnf(74,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk4_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[72])).
% cnf(75,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[72])).
% fof(77, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[8])).
% fof(78, plain,![X3]:![X4]:((~(aSet0(X3))|~(aSet0(X4)))|((~(aSubsetOf0(X3,X4))|~(aSubsetOf0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[77])).
% cnf(79,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[78])).
% fof(105, negated_conjecture,((aSet0(sdtmndt0(xS,xx))&![X1]:((~(aElementOf0(X1,sdtmndt0(xS,xx)))|((aElement0(X1)&aElementOf0(X1,xS))&~(X1=xx)))&(((~(aElement0(X1))|~(aElementOf0(X1,xS)))|X1=xx)|aElementOf0(X1,sdtmndt0(xS,xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X1]:((~(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X1)&(aElementOf0(X1,sdtmndt0(xS,xx))|X1=xx)))&((~(aElement0(X1))|(~(aElementOf0(X1,sdtmndt0(xS,xx)))&~(X1=xx)))|aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))))&~(sdtpldt0(sdtmndt0(xS,xx),xx)=xS))),inference(fof_nnf,[status(thm)],[20])).
% fof(106, negated_conjecture,((aSet0(sdtmndt0(xS,xx))&![X2]:((~(aElementOf0(X2,sdtmndt0(xS,xx)))|((aElement0(X2)&aElementOf0(X2,xS))&~(X2=xx)))&(((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X3]:((~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X3)&(aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)))&((~(aElement0(X3))|(~(aElementOf0(X3,sdtmndt0(xS,xx)))&~(X3=xx)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))))&~(sdtpldt0(sdtmndt0(xS,xx),xx)=xS))),inference(variable_rename,[status(thm)],[105])).
% fof(107, negated_conjecture,![X2]:![X3]:(((((~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X3)&(aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)))&((~(aElement0(X3))|(~(aElementOf0(X3,sdtmndt0(xS,xx)))&~(X3=xx)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))&aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&~(sdtpldt0(sdtmndt0(xS,xx),xx)=xS))&(((~(aElementOf0(X2,sdtmndt0(xS,xx)))|((aElement0(X2)&aElementOf0(X2,xS))&~(X2=xx)))&(((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx))))&aSet0(sdtmndt0(xS,xx)))),inference(shift_quantors,[status(thm)],[106])).
% fof(108, negated_conjecture,![X2]:![X3]:((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))&((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))&((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))))&aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&~(sdtpldt0(sdtmndt0(xS,xx),xx)=xS))&(((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))&(aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx)))))&(~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx)))))&(((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx))))&aSet0(sdtmndt0(xS,xx)))),inference(distribute,[status(thm)],[107])).
% cnf(113,negated_conjecture,(aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[108])).
% cnf(114,negated_conjecture,(sdtpldt0(sdtmndt0(xS,xx),xx)!=xS),inference(split_conjunct,[status(thm)],[108])).
% cnf(115,negated_conjecture,(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[108])).
% cnf(116,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X1)|X1!=xx),inference(split_conjunct,[status(thm)],[108])).
% cnf(117,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[108])).
% cnf(118,negated_conjecture,(X1=xx|aElementOf0(X1,sdtmndt0(xS,xx))|~aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[108])).
% cnf(121,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(csr,[status(thm)],[117,113])).
% cnf(122,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)),inference(csr,[status(thm)],[79,75])).
% cnf(126,plain,(X1=X4|aElementOf0(X4,X3)|sdtmndt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[54,29])).
% cnf(135,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[29,59,theory(equality)])).
% cnf(136,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[135,58,theory(equality)])).
% cnf(137,plain,(aElement0(xx)),inference(cn,[status(thm)],[136,theory(equality)])).
% cnf(183,plain,(aElementOf0(X1,X2)|~aElement0(X3)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[56,theory(equality)])).
% cnf(189,negated_conjecture,(xx=esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)),inference(spm,[status(thm)],[118,74,theory(equality)])).
% cnf(191,plain,(aElement0(esk4_2(X1,X2))|aSubsetOf0(X2,X1)|~aSet0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[29,74,theory(equality)])).
% cnf(200,negated_conjecture,(xx=esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|$false|~aSet0(X1)),inference(rw,[status(thm)],[189,115,theory(equality)])).
% cnf(201,negated_conjecture,(xx=esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)),inference(cn,[status(thm)],[200,theory(equality)])).
% cnf(203,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|xx!=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aElement0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1))),inference(spm,[status(thm)],[73,116,theory(equality)])).
% cnf(204,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))),inference(spm,[status(thm)],[73,121,theory(equality)])).
% cnf(208,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|$false|xx!=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aElement0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1))),inference(rw,[status(thm)],[203,115,theory(equality)])).
% cnf(209,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|xx!=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aElement0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1))),inference(cn,[status(thm)],[208,theory(equality)])).
% cnf(210,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|$false|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))),inference(rw,[status(thm)],[204,115,theory(equality)])).
% cnf(211,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(X1)|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),sdtmndt0(xS,xx))),inference(cn,[status(thm)],[210,theory(equality)])).
% cnf(230,plain,(X1=X2|aElementOf0(X2,sdtmndt0(X3,X1))|~aElement0(X1)|~aElementOf0(X2,X3)|~aSet0(X3)),inference(er,[status(thm)],[126,theory(equality)])).
% cnf(502,negated_conjecture,(aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)|esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aElement0(xx)|~aSet0(xS)|~aSet0(X1)),inference(spm,[status(thm)],[183,201,theory(equality)])).
% cnf(514,negated_conjecture,(aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)|esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|$false|~aSet0(xS)|~aSet0(X1)),inference(rw,[status(thm)],[502,137,theory(equality)])).
% cnf(515,negated_conjecture,(aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)|esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|$false|$false|~aSet0(X1)),inference(rw,[status(thm)],[514,58,theory(equality)])).
% cnf(516,negated_conjecture,(aElementOf0(esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)|esk4_2(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)),inference(cn,[status(thm)],[515,theory(equality)])).
% cnf(691,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)!=xx|~aSet0(X1)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),inference(spm,[status(thm)],[209,191,theory(equality)])).
% cnf(697,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)!=xx|~aSet0(X1)|$false),inference(rw,[status(thm)],[691,115,theory(equality)])).
% cnf(698,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)!=xx|~aSet0(X1)),inference(cn,[status(thm)],[697,theory(equality)])).
% cnf(706,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|xx=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)|~aElement0(xx)|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)|~aSet0(xS)),inference(spm,[status(thm)],[211,230,theory(equality)])).
% cnf(710,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|xx=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)|$false|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)|~aSet0(xS)),inference(rw,[status(thm)],[706,137,theory(equality)])).
% cnf(711,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|xx=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)|$false|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)|$false),inference(rw,[status(thm)],[710,58,theory(equality)])).
% cnf(712,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|xx=esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1)|~aSet0(X1)|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)),inference(cn,[status(thm)],[711,theory(equality)])).
% cnf(3967,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|esk4_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)),inference(spm,[status(thm)],[73,516,theory(equality)])).
% cnf(3981,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|esk4_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|$false|~aSet0(xS)),inference(rw,[status(thm)],[3967,115,theory(equality)])).
% cnf(3982,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|esk4_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx|$false|$false),inference(rw,[status(thm)],[3981,58,theory(equality)])).
% cnf(3983,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|esk4_2(xS,sdtpldt0(sdtmndt0(xS,xx),xx))=xx),inference(cn,[status(thm)],[3982,theory(equality)])).
% cnf(4095,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aElementOf0(xx,xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)),inference(spm,[status(thm)],[73,3983,theory(equality)])).
% cnf(4104,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|$false|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)),inference(rw,[status(thm)],[4095,59,theory(equality)])).
% cnf(4105,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|$false|$false|~aSet0(xS)),inference(rw,[status(thm)],[4104,115,theory(equality)])).
% cnf(4106,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|$false|$false|$false),inference(rw,[status(thm)],[4105,58,theory(equality)])).
% cnf(4107,negated_conjecture,(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)),inference(cn,[status(thm)],[4106,theory(equality)])).
% cnf(4133,negated_conjecture,(xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),inference(spm,[status(thm)],[122,4107,theory(equality)])).
% cnf(4144,negated_conjecture,(xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[4133,115,theory(equality)])).
% cnf(4145,negated_conjecture,(xS=sdtpldt0(sdtmndt0(xS,xx),xx)|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[4144,theory(equality)])).
% cnf(4146,negated_conjecture,(~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(sr,[status(thm)],[4145,114,theory(equality)])).
% cnf(4299,negated_conjecture,(aSubsetOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(esk4_2(sdtpldt0(sdtmndt0(xS,xx),xx),X1),xS)|~aSet0(X1)),inference(csr,[status(thm)],[712,698])).
% cnf(4304,negated_conjecture,(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|~aSet0(xS)|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),inference(spm,[status(thm)],[4299,74,theory(equality)])).
% cnf(4319,negated_conjecture,(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|$false|~aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))),inference(rw,[status(thm)],[4304,58,theory(equality)])).
% cnf(4320,negated_conjecture,(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|$false|$false),inference(rw,[status(thm)],[4319,115,theory(equality)])).
% cnf(4321,negated_conjecture,(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[4320,theory(equality)])).
% cnf(4322,negated_conjecture,($false),inference(sr,[status(thm)],[4321,4146,theory(equality)])).
% cnf(4323,negated_conjecture,($false),4322,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 783
% # ...of these trivial : 14
% # ...subsumed : 405
% # ...remaining for further processing: 364
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 19
% # Backward-rewritten : 47
% # Generated clauses : 1833
% # ...of the previous two non-trivial : 1556
% # Contextual simplify-reflections : 351
% # Paramodulations : 1807
% # Factorizations : 0
% # Equation resolutions : 17
% # Current number of processed clauses: 245
% # Positive orientable unit clauses: 19
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 12
% # Non-unit-clauses : 214
% # Current number of unprocessed clauses: 583
% # ...number of literals in the above : 3900
% # Clause-clause subsumption calls (NU) : 4385
% # Rec. Clause-clause subsumption calls : 2405
% # Unit Clause-clause subsumption calls : 594
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 176 leaves, 1.61+/-1.393 terms/leaf
% # Paramod-from index: 72 leaves, 1.12+/-0.370 terms/leaf
% # Paramod-into index: 126 leaves, 1.52+/-1.258 terms/leaf
% # -------------------------------------------------
% # User time : 0.137 s
% # System time : 0.010 s
% # Total time : 0.147 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.29 CPU 0.38 WC
% FINAL PrfWatch: 0.29 CPU 0.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP17972/NUM534+2.tptp
%
%------------------------------------------------------------------------------