TSTP Solution File: NUM535+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM535+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 19:57:28 EST 2010
% Result : Theorem 1.25s
% Output : Solution 1.25s
% 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/SystemOnTPTP18231/NUM535+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18231/NUM535+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18231/NUM535+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 18327
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.020 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,aSet0(xS),file('/tmp/SRASS.s.p', m__617)).
% fof(9, axiom,aElementOf0(xx,xS),file('/tmp/SRASS.s.p', m__617_02)).
% 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))))=>(![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((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))))=>(![X1]:(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=>aElementOf0(X1,xS))|aSubsetOf0(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))))=>(![X1]:(aElementOf0(X1,xS)=>aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((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))))=>(![X1]:(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))=>aElementOf0(X1,xS))|aSubsetOf0(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(48, 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(49, 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)],[48])).
% fof(50, 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)],[49])).
% fof(51, 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)],[50])).
% fof(52, 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)],[51])).
% cnf(59,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|~aElementOf0(X4,X2)),inference(split_conjunct,[status(thm)],[52])).
% cnf(60,plain,(X4=X1|aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[52])).
% fof(62, 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(63, 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)],[62])).
% fof(64, 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)],[63])).
% fof(65, 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)],[64])).
% fof(66, 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)],[65])).
% cnf(72,plain,(aElementOf0(X4,X3)|X4=X1|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X2)|~aElement0(X4)),inference(split_conjunct,[status(thm)],[66])).
% cnf(74,plain,(aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[66])).
% cnf(76,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[8])).
% cnf(77,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[9])).
% 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)))))&(?[X1]:(aElementOf0(X1,xS)&~(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))))))|((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)))))&(?[X1]:(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))&~(aElementOf0(X1,xS)))&~(aSubsetOf0(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)))))&(?[X4]:(aElementOf0(X4,xS)&~(aElementOf0(X4,sdtpldt0(sdtmndt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))))))|((aSet0(sdtmndt0(xS,xx))&![X5]:((~(aElementOf0(X5,sdtmndt0(xS,xx)))|((aElement0(X5)&aElementOf0(X5,xS))&~(X5=xx)))&(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X6]:((~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)&(aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)))&((~(aElement0(X6))|(~(aElementOf0(X6,sdtmndt0(xS,xx)))&~(X6=xx)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(?[X7]:(aElementOf0(X7,sdtpldt0(sdtmndt0(xS,xx),xx))&~(aElementOf0(X7,xS)))&~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))))),inference(variable_rename,[status(thm)],[105])).
% fof(107, 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)))))&((aElementOf0(esk5_0,xS)&~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))))))|((aSet0(sdtmndt0(xS,xx))&![X5]:((~(aElementOf0(X5,sdtmndt0(xS,xx)))|((aElement0(X5)&aElementOf0(X5,xS))&~(X5=xx)))&(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&((aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))&![X6]:((~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)&(aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)))&((~(aElement0(X6))|(~(aElementOf0(X6,sdtmndt0(xS,xx)))&~(X6=xx)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))&~(aElementOf0(esk6_0,xS)))&~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))))),inference(skolemize,[status(esa)],[106])).
% fof(108, negated_conjecture,![X2]:![X3]:![X5]:![X6]:((((((~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)&(aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)))&((~(aElement0(X6))|(~(aElementOf0(X6,sdtmndt0(xS,xx)))&~(X6=xx)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&((aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))&~(aElementOf0(esk6_0,xS)))&~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&(((~(aElementOf0(X5,sdtmndt0(xS,xx)))|((aElement0(X5)&aElementOf0(X5,xS))&~(X5=xx)))&(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))&aSet0(sdtmndt0(xS,xx))))|(((((~(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)))&((aElementOf0(esk5_0,xS)&~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((~(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)],[107])).
% fof(109, negated_conjecture,![X2]:![X3]:![X5]:![X6]:((((((((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(((aElementOf0(esk5_0,xS)|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(aSet0(sdtmndt0(xS,xx))|(aElement0(X6)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(((aElementOf0(esk5_0,xS)|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(aSet0(sdtmndt0(xS,xx))|((aElementOf0(X6,sdtmndt0(xS,xx))|X6=xx)|~(aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))))&((((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((aElementOf0(esk5_0,xS)|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(aSet0(sdtmndt0(xS,xx))|((~(aElementOf0(X6,sdtmndt0(xS,xx)))|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((aElementOf0(esk5_0,xS)|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(aSet0(sdtmndt0(xS,xx))|((~(X6=xx)|~(aElement0(X6)))|aElementOf0(X6,sdtpldt0(sdtmndt0(xS,xx),xx))))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&(((aElementOf0(esk5_0,xS)|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))&(aSet0(sdtmndt0(xS,xx))|aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))))))&(((((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&(((aElementOf0(esk5_0,xS)|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))))&(aSet0(sdtmndt0(xS,xx))|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx)))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|~(aElementOf0(esk6_0,xS)))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|~(aElementOf0(esk6_0,xS))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS)))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS)))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~(aElementOf0(esk6_0,xS))))&(((aElementOf0(esk5_0,xS)|~(aElementOf0(esk6_0,xS)))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aElementOf0(esk6_0,xS)))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aElementOf0(esk6_0,xS)))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aElementOf0(esk6_0,xS))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aElementOf0(esk6_0,xS))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|~(aElementOf0(esk6_0,xS))))&(aSet0(sdtmndt0(xS,xx))|~(aElementOf0(esk6_0,xS))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&(((aElementOf0(esk5_0,xS)|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))))&(aSet0(sdtmndt0(xS,xx))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)))))))&(((((((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(((aElementOf0(esk5_0,xS)|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(aSet0(sdtmndt0(xS,xx))|(aElement0(X5)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(((aElementOf0(esk5_0,xS)|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(aSet0(sdtmndt0(xS,xx))|(aElementOf0(X5,xS)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(((aElementOf0(esk5_0,xS)|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx)))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))&(aSet0(sdtmndt0(xS,xx))|(~(X5=xx)|~(aElementOf0(X5,sdtmndt0(xS,xx))))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&(((aElementOf0(esk5_0,xS)|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx))))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))&(aSet0(sdtmndt0(xS,xx))|(((~(aElement0(X5))|~(aElementOf0(X5,xS)))|X5=xx)|aElementOf0(X5,sdtmndt0(xS,xx)))))))&(((((((aElement0(X3)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aSet0(sdtmndt0(xS,xx)))&(((aElementOf0(X3,sdtmndt0(xS,xx))|X3=xx)|~(aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx))))|aSet0(sdtmndt0(xS,xx))))&((((~(aElementOf0(X3,sdtmndt0(xS,xx)))|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtmndt0(xS,xx)))&(((~(X3=xx)|~(aElement0(X3)))|aElementOf0(X3,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtmndt0(xS,xx)))))&(aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))|aSet0(sdtmndt0(xS,xx))))&(((aElementOf0(esk5_0,xS)|aSet0(sdtmndt0(xS,xx)))&(~(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtmndt0(xS,xx))))&(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|aSet0(sdtmndt0(xS,xx)))))&((((((aElement0(X2)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtmndt0(xS,xx)))&((aElementOf0(X2,xS)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtmndt0(xS,xx))))&((~(X2=xx)|~(aElementOf0(X2,sdtmndt0(xS,xx))))|aSet0(sdtmndt0(xS,xx))))&((((~(aElement0(X2))|~(aElementOf0(X2,xS)))|X2=xx)|aElementOf0(X2,sdtmndt0(xS,xx)))|aSet0(sdtmndt0(xS,xx))))&(aSet0(sdtmndt0(xS,xx))|aSet0(sdtmndt0(xS,xx))))))),inference(distribute,[status(thm)],[108])).
% cnf(110,negated_conjecture,(aSet0(sdtmndt0(xS,xx))|aSet0(sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(156,negated_conjecture,(aElementOf0(X1,xS)|aElementOf0(esk5_0,xS)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(189,negated_conjecture,(aElementOf0(X1,sdtmndt0(xS,xx))|X1=xx|~aElementOf0(esk6_0,xS)|~aElementOf0(X1,xS)|~aElement0(X1)),inference(split_conjunct,[status(thm)],[109])).
% cnf(192,negated_conjecture,(aElement0(X1)|~aElementOf0(esk6_0,xS)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(194,negated_conjecture,(~aElementOf0(esk6_0,xS)|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(195,negated_conjecture,(aElementOf0(esk5_0,xS)|~aElementOf0(esk6_0,xS)),inference(split_conjunct,[status(thm)],[109])).
% cnf(198,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(esk6_0,xS)|~aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(205,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(207,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(208,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk5_0,xS)),inference(split_conjunct,[status(thm)],[109])).
% cnf(211,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X1)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(236,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X2,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(X1)|X1!=xx|~aElement0(X2)|X2!=xx),inference(split_conjunct,[status(thm)],[109])).
% cnf(260,negated_conjecture,(X1=xx|aElementOf0(X1,sdtmndt0(xS,xx))|aElementOf0(esk5_0,xS)|~aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[109])).
% cnf(282,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[29,77,theory(equality)])).
% cnf(283,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[282,76,theory(equality)])).
% cnf(284,plain,(aElement0(xx)),inference(cn,[status(thm)],[283,theory(equality)])).
% cnf(359,plain,(aElementOf0(X1,X2)|~aElement0(X3)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[74,theory(equality)])).
% cnf(375,plain,(X1=X2|aElementOf0(X2,X3)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X3,X1))|~aSet0(X3)),inference(er,[status(thm)],[60,theory(equality)])).
% cnf(396,plain,(aElementOf0(X4,X3)|sdtpldt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[59,29])).
% cnf(397,plain,(aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElementOf0(X1,X2)|~aSet0(X2)),inference(er,[status(thm)],[396,theory(equality)])).
% cnf(401,plain,(X1=X4|aElementOf0(X4,X3)|sdtmndt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[72,29])).
% cnf(402,plain,(X1=X2|aElementOf0(X2,sdtmndt0(X3,X1))|~aElement0(X1)|~aElementOf0(X2,X3)|~aSet0(X3)),inference(er,[status(thm)],[401,theory(equality)])).
% cnf(434,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X1,sdtmndt0(xS,xx))|~aElementOf0(esk6_0,xS)),inference(csr,[status(thm)],[198,192])).
% cnf(444,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|aElementOf0(esk5_0,xS)),inference(spm,[status(thm)],[260,208,theory(equality)])).
% cnf(504,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(csr,[status(thm)],[211,205])).
% cnf(545,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|xx!=X1|~aElement0(xx)|~aElement0(X1)),inference(er,[status(thm)],[236,theory(equality)])).
% cnf(1047,negated_conjecture,(aElementOf0(esk5_0,xS)|aElementOf0(esk6_0,xS)|esk6_0=xx),inference(spm,[status(thm)],[156,444,theory(equality)])).
% cnf(1074,negated_conjecture,(esk6_0=xx|aElementOf0(esk5_0,xS)),inference(csr,[status(thm)],[1047,195])).
% cnf(2396,negated_conjecture,(X1=esk5_0|aElementOf0(esk5_0,sdtmndt0(xS,X1))|esk6_0=xx|~aElement0(X1)|~aSet0(xS)),inference(spm,[status(thm)],[402,1074,theory(equality)])).
% cnf(2430,negated_conjecture,(X1=esk5_0|aElementOf0(esk5_0,sdtmndt0(xS,X1))|esk6_0=xx|~aElement0(X1)|$false),inference(rw,[status(thm)],[2396,76,theory(equality)])).
% cnf(2431,negated_conjecture,(X1=esk5_0|aElementOf0(esk5_0,sdtmndt0(xS,X1))|esk6_0=xx|~aElement0(X1)),inference(cn,[status(thm)],[2430,theory(equality)])).
% cnf(2707,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|esk6_0=xx|xx=esk5_0|~aElement0(xx)),inference(spm,[status(thm)],[504,2431,theory(equality)])).
% cnf(2743,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|esk6_0=xx|xx=esk5_0|$false),inference(rw,[status(thm)],[2707,284,theory(equality)])).
% cnf(2744,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|esk6_0=xx|xx=esk5_0),inference(cn,[status(thm)],[2743,theory(equality)])).
% cnf(3413,negated_conjecture,(esk5_0=xx|esk6_0=xx|aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(csr,[status(thm)],[2744,207])).
% cnf(3418,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|esk5_0=xx|~aElement0(xx)|~aSet0(sdtmndt0(xS,xx))),inference(spm,[status(thm)],[375,3413,theory(equality)])).
% cnf(3437,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|esk5_0=xx|$false|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[3418,284,theory(equality)])).
% cnf(3438,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|esk5_0=xx|$false|$false),inference(rw,[status(thm)],[3437,110,theory(equality)])).
% cnf(3439,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|esk5_0=xx),inference(cn,[status(thm)],[3438,theory(equality)])).
% cnf(3445,negated_conjecture,(aElementOf0(esk6_0,xS)|esk5_0=xx|esk6_0=xx|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[359,3439,theory(equality)])).
% cnf(3479,negated_conjecture,(aElementOf0(esk6_0,xS)|esk5_0=xx|esk6_0=xx|$false|~aSet0(xS)),inference(rw,[status(thm)],[3445,284,theory(equality)])).
% cnf(3480,negated_conjecture,(aElementOf0(esk6_0,xS)|esk5_0=xx|esk6_0=xx|$false|$false),inference(rw,[status(thm)],[3479,76,theory(equality)])).
% cnf(3481,negated_conjecture,(aElementOf0(esk6_0,xS)|esk5_0=xx|esk6_0=xx),inference(cn,[status(thm)],[3480,theory(equality)])).
% cnf(3586,negated_conjecture,(esk6_0=xx|esk5_0=xx|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(spm,[status(thm)],[194,3481,theory(equality)])).
% cnf(3589,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|esk6_0=xx|esk5_0=xx|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(spm,[status(thm)],[434,3481,theory(equality)])).
% cnf(5598,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|xx!=X1|$false|~aElement0(X1)),inference(rw,[status(thm)],[545,284,theory(equality)])).
% cnf(5599,negated_conjecture,(aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))|aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|xx!=X1|~aElement0(X1)),inference(cn,[status(thm)],[5598,theory(equality)])).
% cnf(5600,negated_conjecture,(aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx)),inference(er,[status(thm)],[5599,theory(equality)])).
% cnf(5601,negated_conjecture,(aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[5600,284,theory(equality)])).
% cnf(5602,negated_conjecture,(aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[5601,theory(equality)])).
% cnf(6553,negated_conjecture,(esk5_0=xx|esk6_0=xx|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElement0(xx)),inference(spm,[status(thm)],[3589,2431,theory(equality)])).
% cnf(6573,negated_conjecture,(esk5_0=xx|esk6_0=xx|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[6553,284,theory(equality)])).
% cnf(6574,negated_conjecture,(esk5_0=xx|esk6_0=xx|aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[6573,theory(equality)])).
% cnf(6599,negated_conjecture,(esk5_0=xx|esk6_0=xx),inference(csr,[status(thm)],[6574,3586])).
% cnf(6600,negated_conjecture,(aElementOf0(esk5_0,xS)|esk5_0=xx|~aElementOf0(xx,xS)),inference(spm,[status(thm)],[195,6599,theory(equality)])).
% cnf(6603,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(xS,xx))|esk5_0=xx|~aElement0(X1)|~aElementOf0(xx,xS)|~aElementOf0(X1,xS)),inference(spm,[status(thm)],[189,6599,theory(equality)])).
% cnf(6607,negated_conjecture,(esk5_0=xx|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|~aElementOf0(xx,xS)),inference(spm,[status(thm)],[194,6599,theory(equality)])).
% cnf(6615,negated_conjecture,(aElementOf0(esk5_0,xS)|esk5_0=xx|$false),inference(rw,[status(thm)],[6600,77,theory(equality)])).
% cnf(6616,negated_conjecture,(aElementOf0(esk5_0,xS)|esk5_0=xx),inference(cn,[status(thm)],[6615,theory(equality)])).
% cnf(6620,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(xS,xx))|esk5_0=xx|~aElement0(X1)|$false|~aElementOf0(X1,xS)),inference(rw,[status(thm)],[6603,77,theory(equality)])).
% cnf(6621,negated_conjecture,(xx=X1|aElementOf0(X1,sdtmndt0(xS,xx))|esk5_0=xx|~aElement0(X1)|~aElementOf0(X1,xS)),inference(cn,[status(thm)],[6620,theory(equality)])).
% cnf(6627,negated_conjecture,(esk5_0=xx|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[6607,77,theory(equality)])).
% cnf(6628,negated_conjecture,(esk5_0=xx|~aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[6627,theory(equality)])).
% cnf(6650,negated_conjecture,(aElement0(esk5_0)|esk5_0=xx|~aSet0(xS)),inference(spm,[status(thm)],[29,6616,theory(equality)])).
% cnf(6662,negated_conjecture,(aElement0(esk5_0)|esk5_0=xx|$false),inference(rw,[status(thm)],[6650,76,theory(equality)])).
% cnf(6663,negated_conjecture,(aElement0(esk5_0)|esk5_0=xx),inference(cn,[status(thm)],[6662,theory(equality)])).
% cnf(7450,negated_conjecture,(esk5_0=xx|aElementOf0(esk5_0,sdtmndt0(xS,xx))|~aElement0(esk5_0)),inference(spm,[status(thm)],[6621,6616,theory(equality)])).
% cnf(7496,negated_conjecture,(esk5_0=xx|aElementOf0(esk5_0,sdtmndt0(xS,xx))),inference(csr,[status(thm)],[7450,6663])).
% cnf(7498,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),X1))|esk5_0=xx|~aElement0(X1)|~aSet0(sdtmndt0(xS,xx))),inference(spm,[status(thm)],[397,7496,theory(equality)])).
% cnf(7535,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),X1))|esk5_0=xx|~aElement0(X1)|$false),inference(rw,[status(thm)],[7498,110,theory(equality)])).
% cnf(7536,negated_conjecture,(aElementOf0(esk5_0,sdtpldt0(sdtmndt0(xS,xx),X1))|esk5_0=xx|~aElement0(X1)),inference(cn,[status(thm)],[7535,theory(equality)])).
% cnf(7584,negated_conjecture,(esk5_0=xx|~aElement0(xx)),inference(spm,[status(thm)],[6628,7536,theory(equality)])).
% cnf(7641,negated_conjecture,(esk5_0=xx|$false),inference(rw,[status(thm)],[7584,284,theory(equality)])).
% cnf(7642,negated_conjecture,(esk5_0=xx),inference(cn,[status(thm)],[7641,theory(equality)])).
% cnf(7899,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[207,7642,theory(equality)]),5602,theory(equality)])).
% cnf(7900,negated_conjecture,(aElementOf0(esk6_0,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(cn,[status(thm)],[7899,theory(equality)])).
% cnf(7914,negated_conjecture,($false|~aElementOf0(esk6_0,xS)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[194,7642,theory(equality)]),5602,theory(equality)])).
% cnf(7915,negated_conjecture,(~aElementOf0(esk6_0,xS)),inference(cn,[status(thm)],[7914,theory(equality)])).
% cnf(7933,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|~aElement0(xx)|~aSet0(sdtmndt0(xS,xx))),inference(spm,[status(thm)],[375,7900,theory(equality)])).
% cnf(7979,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|$false|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[7933,284,theory(equality)])).
% cnf(7980,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))|$false|$false),inference(rw,[status(thm)],[7979,110,theory(equality)])).
% cnf(7981,negated_conjecture,(xx=esk6_0|aElementOf0(esk6_0,sdtmndt0(xS,xx))),inference(cn,[status(thm)],[7980,theory(equality)])).
% cnf(8046,negated_conjecture,(aElementOf0(esk6_0,xS)|esk6_0=xx|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[359,7981,theory(equality)])).
% cnf(8079,negated_conjecture,(aElementOf0(esk6_0,xS)|esk6_0=xx|$false|~aSet0(xS)),inference(rw,[status(thm)],[8046,284,theory(equality)])).
% cnf(8080,negated_conjecture,(aElementOf0(esk6_0,xS)|esk6_0=xx|$false|$false),inference(rw,[status(thm)],[8079,76,theory(equality)])).
% cnf(8081,negated_conjecture,(aElementOf0(esk6_0,xS)|esk6_0=xx),inference(cn,[status(thm)],[8080,theory(equality)])).
% cnf(8082,negated_conjecture,(esk6_0=xx),inference(sr,[status(thm)],[8081,7915,theory(equality)])).
% cnf(8117,negated_conjecture,($false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[7915,8082,theory(equality)]),77,theory(equality)])).
% cnf(8118,negated_conjecture,($false),inference(cn,[status(thm)],[8117,theory(equality)])).
% cnf(8119,negated_conjecture,($false),8118,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 946
% # ...of these trivial : 48
% # ...subsumed : 489
% # ...remaining for further processing: 409
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 73
% # Backward-rewritten : 134
% # Generated clauses : 2922
% # ...of the previous two non-trivial : 2757
% # Contextual simplify-reflections : 799
% # Paramodulations : 2876
% # Factorizations : 8
% # Equation resolutions : 36
% # Current number of processed clauses: 199
% # Positive orientable unit clauses: 11
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 183
% # Current number of unprocessed clauses: 718
% # ...number of literals in the above : 4946
% # Clause-clause subsumption calls (NU) : 5925
% # Rec. Clause-clause subsumption calls : 2610
% # Unit Clause-clause subsumption calls : 248
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 126 leaves, 1.56+/-1.219 terms/leaf
% # Paramod-from index: 58 leaves, 1.22+/-0.644 terms/leaf
% # Paramod-into index: 104 leaves, 1.45+/-1.018 terms/leaf
% # -------------------------------------------------
% # User time : 0.223 s
% # System time : 0.009 s
% # Total time : 0.232 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.45 CPU 0.54 WC
% FINAL PrfWatch: 0.45 CPU 0.54 WC
% SZS output end Solution for /tmp/SystemOnTPTP18231/NUM535+2.tptp
%
%------------------------------------------------------------------------------