TSTP Solution File: NUM537+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM537+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 19:57:57 EST 2010
% Result : Theorem 1.20s
% Output : Solution 1.20s
% 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/SystemOnTPTP18490/NUM537+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18490/NUM537+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18490/NUM537+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 18586
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.021 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(6, axiom,![X1]:![X2]:((aSet0(X1)&aElement0(X2))=>![X3]:(X3=sdtpldt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>(aElement0(X4)&(aElementOf0(X4,X1)|X4=X2)))))),file('/tmp/SRASS.s.p', mDefCons)).
% fof(7, 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(8, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>sdtpldt0(sdtmndt0(X1,X2),X2)=X1)),file('/tmp/SRASS.s.p', mConsDiff)).
% fof(9, axiom,(aElement0(xx)&aSet0(xS)),file('/tmp/SRASS.s.p', m__679)).
% fof(10, axiom,~(aElementOf0(xx,xS)),file('/tmp/SRASS.s.p', m__679_02)).
% fof(20, conjecture,(((aSet0(sdtpldt0(xS,xx))&![X1]:(aElementOf0(X1,sdtpldt0(xS,xx))<=>(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx))))=>((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx))))=>(![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aSet0(sdtpldt0(xS,xx))&![X1]:(aElementOf0(X1,sdtpldt0(xS,xx))<=>(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx))))=>((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx))))=>(![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))=>aElementOf0(X1,xS))|aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))),file('/tmp/SRASS.s.p', m__)).
% fof(21, negated_conjecture,~((((aSet0(sdtpldt0(xS,xx))&![X1]:(aElementOf0(X1,sdtpldt0(xS,xx))<=>(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx))))=>((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx))))=>(![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aSet0(sdtpldt0(xS,xx))&![X1]:(aElementOf0(X1,sdtpldt0(xS,xx))<=>(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx))))=>((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))<=>((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx))))=>(![X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))=>aElementOf0(X1,xS))|aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))),inference(assume_negation,[status(cth)],[20])).
% fof(22, plain,~(aElementOf0(xx,xS)),inference(fof_simplification,[status(thm)],[10,theory(equality)])).
% fof(28, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(29, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[28])).
% fof(30, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[29])).
% cnf(31,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[30])).
% fof(50, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElement0(X2)))|![X3]:((~(X3=sdtpldt0(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=sdtpldt0(X1,X2)))),inference(fof_nnf,[status(thm)],[6])).
% fof(51, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtpldt0(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=sdtpldt0(X5,X6)))),inference(variable_rename,[status(thm)],[50])).
% fof(52, plain,![X5]:![X6]:((~(aSet0(X5))|~(aElement0(X6)))|![X7]:((~(X7=sdtpldt0(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=sdtpldt0(X5,X6)))),inference(skolemize,[status(esa)],[51])).
% fof(53, 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=sdtpldt0(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=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[52])).
% fof(54, plain,![X5]:![X6]:![X7]:![X8]:(((((((aElement0(X8)|~(aElementOf0(X8,X7)))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(X8,X5)|X8=X6)|~(aElementOf0(X8,X7)))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((~(aElementOf0(X8,X5))|~(aElement0(X8)))|aElementOf0(X8,X7))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))&((((~(X8=X6)|~(aElement0(X8)))|aElementOf0(X8,X7))|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6))))))&((aSet0(X7)|~(X7=sdtpldt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((((~(aElementOf0(esk2_3(X5,X6,X7),X5))|~(aElement0(esk2_3(X5,X6,X7))))|~(aElementOf0(esk2_3(X5,X6,X7),X7)))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&(((((~(esk2_3(X5,X6,X7)=X6)|~(aElement0(esk2_3(X5,X6,X7))))|~(aElementOf0(esk2_3(X5,X6,X7),X7)))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&(((((aElement0(esk2_3(X5,X6,X7))|aElementOf0(esk2_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&(((((aElementOf0(esk2_3(X5,X6,X7),X5)|esk2_3(X5,X6,X7)=X6)|aElementOf0(esk2_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtpldt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[53])).
% cnf(61,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|~aElementOf0(X4,X2)),inference(split_conjunct,[status(thm)],[54])).
% cnf(62,plain,(X4=X1|aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[54])).
% fof(64, 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)],[7])).
% fof(65, 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)],[64])).
% fof(66, 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(esk3_3(X5,X6,X7),X7))|((~(aElement0(esk3_3(X5,X6,X7)))|~(aElementOf0(esk3_3(X5,X6,X7),X5)))|esk3_3(X5,X6,X7)=X6))&(aElementOf0(esk3_3(X5,X6,X7),X7)|((aElement0(esk3_3(X5,X6,X7))&aElementOf0(esk3_3(X5,X6,X7),X5))&~(esk3_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))),inference(skolemize,[status(esa)],[65])).
% fof(67, 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(esk3_3(X5,X6,X7),X7))|((~(aElement0(esk3_3(X5,X6,X7)))|~(aElementOf0(esk3_3(X5,X6,X7),X5)))|esk3_3(X5,X6,X7)=X6))&(aElementOf0(esk3_3(X5,X6,X7),X7)|((aElement0(esk3_3(X5,X6,X7))&aElementOf0(esk3_3(X5,X6,X7),X5))&~(esk3_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[66])).
% fof(68, 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(esk3_3(X5,X6,X7),X7))|((~(aElement0(esk3_3(X5,X6,X7)))|~(aElementOf0(esk3_3(X5,X6,X7),X5)))|esk3_3(X5,X6,X7)=X6))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((((aElement0(esk3_3(X5,X6,X7))|aElementOf0(esk3_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(esk3_3(X5,X6,X7),X5)|aElementOf0(esk3_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&((((~(esk3_3(X5,X6,X7)=X6)|aElementOf0(esk3_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[67])).
% cnf(76,plain,(aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[68])).
% fof(78, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|sdtpldt0(sdtmndt0(X1,X2),X2)=X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(79, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|sdtpldt0(sdtmndt0(X3,X4),X4)=X3)),inference(variable_rename,[status(thm)],[78])).
% fof(80, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|sdtpldt0(sdtmndt0(X3,X4),X4)=X3)|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[79])).
% cnf(81,plain,(sdtpldt0(sdtmndt0(X1,X2),X2)=X1|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[80])).
% cnf(82,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[9])).
% cnf(83,plain,(aElement0(xx)),inference(split_conjunct,[status(thm)],[9])).
% cnf(84,plain,(~aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[22])).
% fof(112, negated_conjecture,(((aSet0(sdtpldt0(xS,xx))&![X1]:((~(aElementOf0(X1,sdtpldt0(xS,xx)))|(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx)))&((~(aElement0(X1))|(~(aElementOf0(X1,xS))&~(X1=xx)))|aElementOf0(X1,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:((~(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx)))&(((~(aElement0(X1))|~(aElementOf0(X1,sdtpldt0(xS,xx))))|X1=xx)|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(?[X1]:(aElementOf0(X1,xS)&~(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))))))|((aSet0(sdtpldt0(xS,xx))&![X1]:((~(aElementOf0(X1,sdtpldt0(xS,xx)))|(aElement0(X1)&(aElementOf0(X1,xS)|X1=xx)))&((~(aElement0(X1))|(~(aElementOf0(X1,xS))&~(X1=xx)))|aElementOf0(X1,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X1]:((~(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X1)&aElementOf0(X1,sdtpldt0(xS,xx)))&~(X1=xx)))&(((~(aElement0(X1))|~(aElementOf0(X1,sdtpldt0(xS,xx))))|X1=xx)|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(?[X1]:(aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))&~(aElementOf0(X1,xS)))&~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))),inference(fof_nnf,[status(thm)],[21])).
% fof(113, negated_conjecture,(((aSet0(sdtpldt0(xS,xx))&![X2]:((~(aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X2)&(aElementOf0(X2,xS)|X2=xx)))&((~(aElement0(X2))|(~(aElementOf0(X2,xS))&~(X2=xx)))|aElementOf0(X2,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X3)&aElementOf0(X3,sdtpldt0(xS,xx)))&~(X3=xx)))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(?[X4]:(aElementOf0(X4,xS)&~(aElementOf0(X4,sdtmndt0(sdtpldt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))))))|((aSet0(sdtpldt0(xS,xx))&![X5]:((~(aElementOf0(X5,sdtpldt0(xS,xx)))|(aElement0(X5)&(aElementOf0(X5,xS)|X5=xx)))&((~(aElement0(X5))|(~(aElementOf0(X5,xS))&~(X5=xx)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X6)&aElementOf0(X6,sdtpldt0(xS,xx)))&~(X6=xx)))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(?[X7]:(aElementOf0(X7,sdtmndt0(sdtpldt0(xS,xx),xx))&~(aElementOf0(X7,xS)))&~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))),inference(variable_rename,[status(thm)],[112])).
% fof(114, negated_conjecture,(((aSet0(sdtpldt0(xS,xx))&![X2]:((~(aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X2)&(aElementOf0(X2,xS)|X2=xx)))&((~(aElement0(X2))|(~(aElementOf0(X2,xS))&~(X2=xx)))|aElementOf0(X2,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X3]:((~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X3)&aElementOf0(X3,sdtpldt0(xS,xx)))&~(X3=xx)))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aElementOf0(esk5_0,xS)&~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx))))))|((aSet0(sdtpldt0(xS,xx))&![X5]:((~(aElementOf0(X5,sdtpldt0(xS,xx)))|(aElement0(X5)&(aElementOf0(X5,xS)|X5=xx)))&((~(aElement0(X5))|(~(aElementOf0(X5,xS))&~(X5=xx)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))&![X6]:((~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X6)&aElementOf0(X6,sdtpldt0(xS,xx)))&~(X6=xx)))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))&~(aElementOf0(esk6_0,xS)))&~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))),inference(skolemize,[status(esa)],[113])).
% fof(115, negated_conjecture,![X2]:![X3]:![X5]:![X6]:((((((~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X6)&aElementOf0(X6,sdtpldt0(xS,xx)))&~(X6=xx)))&(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))&aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&((aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))&~(aElementOf0(esk6_0,xS)))&~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&(((~(aElementOf0(X5,sdtpldt0(xS,xx)))|(aElement0(X5)&(aElementOf0(X5,xS)|X5=xx)))&((~(aElement0(X5))|(~(aElementOf0(X5,xS))&~(X5=xx)))|aElementOf0(X5,sdtpldt0(xS,xx))))&aSet0(sdtpldt0(xS,xx))))|(((((~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElement0(X3)&aElementOf0(X3,sdtpldt0(xS,xx)))&~(X3=xx)))&(((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))&aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&((aElementOf0(esk5_0,xS)&~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((~(aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X2)&(aElementOf0(X2,xS)|X2=xx)))&((~(aElement0(X2))|(~(aElementOf0(X2,xS))&~(X2=xx)))|aElementOf0(X2,sdtpldt0(xS,xx))))&aSet0(sdtpldt0(xS,xx))))),inference(shift_quantors,[status(thm)],[114])).
% fof(116, negated_conjecture,![X2]:![X3]:![X5]:![X6]:((((((((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(((aElementOf0(esk5_0,xS)|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(aSet0(sdtpldt0(xS,xx))|(aElement0(X6)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(((aElementOf0(esk5_0,xS)|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(aSet0(sdtpldt0(xS,xx))|(aElementOf0(X6,sdtpldt0(xS,xx))|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(((aElementOf0(esk5_0,xS)|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&(aSet0(sdtpldt0(xS,xx))|(~(X6=xx)|~(aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((aElementOf0(esk5_0,xS)|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx))))))&(aSet0(sdtpldt0(xS,xx))|(((~(aElement0(X6))|~(aElementOf0(X6,sdtpldt0(xS,xx))))|X6=xx)|aElementOf0(X6,sdtmndt0(sdtpldt0(xS,xx),xx)))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&(((aElementOf0(esk5_0,xS)|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)))))&(aSet0(sdtpldt0(xS,xx))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))))))&((((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&(((aElementOf0(esk5_0,xS)|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))))&(aSet0(sdtpldt0(xS,xx))|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx)))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aElementOf0(esk6_0,xS)))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aElementOf0(esk6_0,xS))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aElementOf0(esk6_0,xS))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|~(aElementOf0(esk6_0,xS))))&(((aElementOf0(esk5_0,xS)|~(aElementOf0(esk6_0,xS)))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS)))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|~(aElementOf0(esk6_0,xS)))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|~(aElementOf0(esk6_0,xS))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|~(aElementOf0(esk6_0,xS)))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|~(aElementOf0(esk6_0,xS)))))&(aSet0(sdtpldt0(xS,xx))|~(aElementOf0(esk6_0,xS))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&(((aElementOf0(esk5_0,xS)|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))&(aSet0(sdtpldt0(xS,xx))|~(aSubsetOf0(sdtmndt0(sdtpldt0(xS,xx),xx),xS)))))))&(((((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(((aElementOf0(esk5_0,xS)|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))))&(aSet0(sdtpldt0(xS,xx))|(aElement0(X5)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(((aElementOf0(esk5_0,xS)|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx)))))))&(aSet0(sdtpldt0(xS,xx))|((aElementOf0(X5,xS)|X5=xx)|~(aElementOf0(X5,sdtpldt0(xS,xx))))))))&(((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(((aElementOf0(esk5_0,xS)|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))&(aSet0(sdtpldt0(xS,xx))|((~(aElementOf0(X5,xS))|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(((aElementOf0(esk5_0,xS)|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx)))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))&(aSet0(sdtpldt0(xS,xx))|((~(X5=xx)|~(aElement0(X5)))|aElementOf0(X5,sdtpldt0(xS,xx))))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtpldt0(xS,xx)))&((aElementOf0(X3,sdtpldt0(xS,xx))|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtpldt0(xS,xx))))&((~(X3=xx)|~(aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx))))|aSet0(sdtpldt0(xS,xx))))&((((~(aElement0(X3))|~(aElementOf0(X3,sdtpldt0(xS,xx))))|X3=xx)|aElementOf0(X3,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtpldt0(xS,xx))))&(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|aSet0(sdtpldt0(xS,xx))))&(((aElementOf0(esk5_0,xS)|aSet0(sdtpldt0(xS,xx)))&(~(aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtpldt0(xS,xx))))&(~(aSubsetOf0(xS,sdtmndt0(sdtpldt0(xS,xx),xx)))|aSet0(sdtpldt0(xS,xx)))))&(((((aElement0(X2)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aSet0(sdtpldt0(xS,xx)))&(((aElementOf0(X2,xS)|X2=xx)|~(aElementOf0(X2,sdtpldt0(xS,xx))))|aSet0(sdtpldt0(xS,xx))))&((((~(aElementOf0(X2,xS))|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aSet0(sdtpldt0(xS,xx)))&(((~(X2=xx)|~(aElement0(X2)))|aElementOf0(X2,sdtpldt0(xS,xx)))|aSet0(sdtpldt0(xS,xx)))))&(aSet0(sdtpldt0(xS,xx))|aSet0(sdtpldt0(xS,xx))))))),inference(distribute,[status(thm)],[115])).
% cnf(117,negated_conjecture,(aSet0(sdtpldt0(xS,xx))|aSet0(sdtpldt0(xS,xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(131,negated_conjecture,(aElementOf0(X1,sdtpldt0(xS,xx))|aElementOf0(X2,sdtpldt0(xS,xx))|~aElement0(X1)|X1!=xx|~aElement0(X2)|X2!=xx),inference(split_conjunct,[status(thm)],[116])).
% cnf(163,negated_conjecture,(X1=xx|aElementOf0(X1,xS)|aElementOf0(esk5_0,xS)|~aElementOf0(X1,sdtpldt0(xS,xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(201,negated_conjecture,(~aElementOf0(esk6_0,xS)|~aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(202,negated_conjecture,(aElementOf0(esk5_0,xS)|~aElementOf0(esk6_0,xS)),inference(split_conjunct,[status(thm)],[116])).
% cnf(212,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElement0(X1)|~aElementOf0(X1,sdtpldt0(xS,xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(214,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(215,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk5_0,xS)),inference(split_conjunct,[status(thm)],[116])).
% cnf(217,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|X1=xx|~aElementOf0(X1,sdtpldt0(xS,xx))|~aElement0(X1)),inference(split_conjunct,[status(thm)],[116])).
% cnf(229,negated_conjecture,(aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))|aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(257,negated_conjecture,(~aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|X1!=xx|~aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))|X2!=xx),inference(split_conjunct,[status(thm)],[116])).
% cnf(267,negated_conjecture,(aElementOf0(X1,sdtpldt0(xS,xx))|aElementOf0(esk5_0,xS)|~aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[116])).
% cnf(375,plain,(aElementOf0(X1,X2)|~aElement0(X3)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[76,theory(equality)])).
% cnf(387,plain,(X1=X2|aElementOf0(X2,X3)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X3,X1))|~aSet0(X3)),inference(er,[status(thm)],[62,theory(equality)])).
% cnf(389,plain,(aElementOf0(X4,X3)|sdtpldt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[61,31])).
% cnf(390,plain,(aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElementOf0(X1,X2)|~aSet0(X2)),inference(er,[status(thm)],[389,theory(equality)])).
% cnf(392,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(xS,xx))|aElementOf0(esk5_0,xS)),inference(spm,[status(thm)],[267,215,theory(equality)])).
% cnf(412,negated_conjecture,(aElementOf0(X1,sdtpldt0(xS,xx))|aElementOf0(xx,sdtpldt0(xS,xx))|xx!=X1|~aElement0(xx)|~aElement0(X1)),inference(er,[status(thm)],[131,theory(equality)])).
% cnf(413,negated_conjecture,(aElementOf0(X1,sdtpldt0(xS,xx))|aElementOf0(xx,sdtpldt0(xS,xx))|xx!=X1|$false|~aElement0(X1)),inference(rw,[status(thm)],[412,83,theory(equality)])).
% cnf(414,negated_conjecture,(aElementOf0(X1,sdtpldt0(xS,xx))|aElementOf0(xx,sdtpldt0(xS,xx))|xx!=X1|~aElement0(X1)),inference(cn,[status(thm)],[413,theory(equality)])).
% fof(530, plain,(~(epred1_0)<=>![X2]:(~(xx=X2)|~(aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))))),introduced(definition),['split']).
% cnf(531,plain,(epred1_0|~aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))|xx!=X2),inference(split_equiv,[status(thm)],[530])).
% cnf(532,negated_conjecture,(~epred1_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[257,530,theory(equality)]),530,theory(equality)]),['split']).
% cnf(533,negated_conjecture,(~epred1_0),inference(cn,[status(thm)],[532,theory(equality)])).
% cnf(564,negated_conjecture,(xx=X1|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElementOf0(X1,sdtpldt0(xS,xx))),inference(csr,[status(thm)],[217,212])).
% cnf(1104,negated_conjecture,(xx=esk6_0|aElementOf0(esk5_0,xS)|aElementOf0(esk6_0,xS)),inference(spm,[status(thm)],[163,392,theory(equality)])).
% cnf(1126,negated_conjecture,(~aElementOf0(X2,sdtmndt0(sdtpldt0(xS,xx),xx))|xx!=X2),inference(sr,[status(thm)],[531,533,theory(equality)])).
% cnf(1127,negated_conjecture,(~aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(er,[status(thm)],[1126,theory(equality)])).
% cnf(1128,negated_conjecture,(esk6_0=xx|aElementOf0(esk5_0,xS)),inference(csr,[status(thm)],[1104,202])).
% cnf(2278,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk6_0=xx|~aElement0(X1)|~aSet0(xS)),inference(spm,[status(thm)],[390,1128,theory(equality)])).
% cnf(2301,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk6_0=xx|~aElement0(X1)|$false),inference(rw,[status(thm)],[2278,82,theory(equality)])).
% cnf(2302,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk6_0=xx|~aElement0(X1)),inference(cn,[status(thm)],[2301,theory(equality)])).
% cnf(2399,negated_conjecture,(xx=esk5_0|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx|~aElement0(xx)),inference(spm,[status(thm)],[564,2302,theory(equality)])).
% cnf(2432,negated_conjecture,(xx=esk5_0|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx|$false),inference(rw,[status(thm)],[2399,83,theory(equality)])).
% cnf(2433,negated_conjecture,(xx=esk5_0|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx),inference(cn,[status(thm)],[2432,theory(equality)])).
% cnf(2927,negated_conjecture,(aElementOf0(xx,sdtpldt0(xS,xx))|~aElement0(xx)),inference(er,[status(thm)],[414,theory(equality)])).
% cnf(2928,negated_conjecture,(aElementOf0(xx,sdtpldt0(xS,xx))|$false),inference(rw,[status(thm)],[2927,83,theory(equality)])).
% cnf(2929,negated_conjecture,(aElementOf0(xx,sdtpldt0(xS,xx))),inference(cn,[status(thm)],[2928,theory(equality)])).
% cnf(2934,negated_conjecture,(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)=sdtpldt0(xS,xx)|~aSet0(sdtpldt0(xS,xx))),inference(spm,[status(thm)],[81,2929,theory(equality)])).
% cnf(2952,negated_conjecture,(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)=sdtpldt0(xS,xx)|$false),inference(rw,[status(thm)],[2934,117,theory(equality)])).
% cnf(2953,negated_conjecture,(sdtpldt0(sdtmndt0(sdtpldt0(xS,xx),xx),xx)=sdtpldt0(xS,xx)),inference(cn,[status(thm)],[2952,theory(equality)])).
% cnf(2979,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElement0(xx)|~aElementOf0(X1,sdtpldt0(xS,xx))|~aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))),inference(spm,[status(thm)],[387,2953,theory(equality)])).
% cnf(3003,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|$false|~aElementOf0(X1,sdtpldt0(xS,xx))|~aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))),inference(rw,[status(thm)],[2979,83,theory(equality)])).
% cnf(3004,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|$false|~aElementOf0(X1,sdtpldt0(xS,xx))|$false),inference(rw,[status(thm)],[3003,229,theory(equality)])).
% cnf(3005,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElementOf0(X1,sdtpldt0(xS,xx))),inference(cn,[status(thm)],[3004,theory(equality)])).
% cnf(3355,negated_conjecture,(esk5_0=xx|esk6_0=xx|aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(csr,[status(thm)],[2433,214])).
% cnf(3361,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(xS,xx))|esk6_0=xx|esk5_0=xx|~aElement0(xx)|~aSet0(sdtpldt0(xS,xx))),inference(spm,[status(thm)],[375,3355,theory(equality)])).
% cnf(3380,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(xS,xx))|esk6_0=xx|esk5_0=xx|$false|~aSet0(sdtpldt0(xS,xx))),inference(rw,[status(thm)],[3361,83,theory(equality)])).
% cnf(3381,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(xS,xx))|esk6_0=xx|esk5_0=xx|$false|$false),inference(rw,[status(thm)],[3380,117,theory(equality)])).
% cnf(3382,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(xS,xx))|esk6_0=xx|esk5_0=xx),inference(cn,[status(thm)],[3381,theory(equality)])).
% cnf(3445,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,xS)|esk5_0=xx|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[387,3382,theory(equality)])).
% cnf(3469,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,xS)|esk5_0=xx|$false|~aSet0(xS)),inference(rw,[status(thm)],[3445,83,theory(equality)])).
% cnf(3470,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,xS)|esk5_0=xx|$false|$false),inference(rw,[status(thm)],[3469,82,theory(equality)])).
% cnf(3471,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,xS)|esk5_0=xx),inference(cn,[status(thm)],[3470,theory(equality)])).
% cnf(3524,negated_conjecture,(esk5_0=xx|esk6_0=xx|~aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(spm,[status(thm)],[201,3471,theory(equality)])).
% cnf(3538,negated_conjecture,(esk6_0=xx|~aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(csr,[status(thm)],[3524,1126])).
% cnf(6187,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx|~aElement0(xx)),inference(spm,[status(thm)],[3005,2302,theory(equality)])).
% cnf(6215,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx|$false),inference(rw,[status(thm)],[6187,83,theory(equality)])).
% cnf(6216,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk6_0=xx),inference(cn,[status(thm)],[6215,theory(equality)])).
% cnf(6287,negated_conjecture,(esk5_0=xx|esk6_0=xx),inference(csr,[status(thm)],[6216,3538])).
% cnf(6293,negated_conjecture,(aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(esk5_0,xS)|esk5_0=xx),inference(spm,[status(thm)],[215,6287,theory(equality)])).
% cnf(6305,negated_conjecture,(aElementOf0(esk5_0,xS)|esk5_0=xx),inference(sr,[status(thm)],[6293,1127,theory(equality)])).
% cnf(6312,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk5_0=xx|~aElement0(X1)|~aSet0(xS)),inference(spm,[status(thm)],[390,6305,theory(equality)])).
% cnf(6328,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk5_0=xx|~aElement0(X1)|$false),inference(rw,[status(thm)],[6312,82,theory(equality)])).
% cnf(6329,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(xS,X1))|esk5_0=xx|~aElement0(X1)),inference(cn,[status(thm)],[6328,theory(equality)])).
% cnf(6473,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|~aElement0(xx)),inference(spm,[status(thm)],[3005,6329,theory(equality)])).
% cnf(6492,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[6473,83,theory(equality)])).
% cnf(6493,negated_conjecture,(xx=esk5_0|aElementOf0(esk5_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(cn,[status(thm)],[6492,theory(equality)])).
% cnf(6524,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|esk5_0=xx),inference(spm,[status(thm)],[214,6493,theory(equality)])).
% cnf(6724,negated_conjecture,(esk5_0=xx|aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(spm,[status(thm)],[6524,6287,theory(equality)])).
% cnf(6739,negated_conjecture,(esk5_0=xx),inference(sr,[status(thm)],[6724,1127,theory(equality)])).
% cnf(6807,negated_conjecture,(esk6_0=xx|aElementOf0(xx,xS)),inference(rw,[status(thm)],[1128,6739,theory(equality)])).
% cnf(6808,negated_conjecture,(esk6_0=xx),inference(sr,[status(thm)],[6807,84,theory(equality)])).
% cnf(6857,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))|aElementOf0(xx,xS)),inference(rw,[status(thm)],[215,6739,theory(equality)])).
% cnf(6858,negated_conjecture,(aElementOf0(esk6_0,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(sr,[status(thm)],[6857,84,theory(equality)])).
% cnf(6959,negated_conjecture,(aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx))),inference(rw,[status(thm)],[6858,6808,theory(equality)])).
% cnf(6960,negated_conjecture,($false),inference(sr,[status(thm)],[6959,1127,theory(equality)])).
% cnf(6961,negated_conjecture,($false),6960,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 888
% # ...of these trivial : 58
% # ...subsumed : 443
% # ...remaining for further processing: 387
% # Other redundant clauses eliminated : 12
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 110
% # Backward-rewritten : 113
% # Generated clauses : 2592
% # ...of the previous two non-trivial : 2486
% # Contextual simplify-reflections : 711
% # Paramodulations : 2526
% # Factorizations : 8
% # Equation resolutions : 56
% # Current number of processed clauses: 160
% # Positive orientable unit clauses: 13
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 142
% # Current number of unprocessed clauses: 524
% # ...number of literals in the above : 3174
% # Clause-clause subsumption calls (NU) : 5711
% # Rec. Clause-clause subsumption calls : 2572
% # Unit Clause-clause subsumption calls : 222
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 4
% # Indexed BW rewrite successes : 4
% # Backwards rewriting index: 118 leaves, 1.55+/-1.246 terms/leaf
% # Paramod-from index: 60 leaves, 1.18+/-0.591 terms/leaf
% # Paramod-into index: 102 leaves, 1.44+/-1.025 terms/leaf
% # -------------------------------------------------
% # User time : 0.188 s
% # System time : 0.014 s
% # Total time : 0.202 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.40 CPU 0.49 WC
% FINAL PrfWatch: 0.40 CPU 0.49 WC
% SZS output end Solution for /tmp/SystemOnTPTP18490/NUM537+2.tptp
%
%------------------------------------------------------------------------------