TSTP Solution File: NUM535+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM535+1 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:57:21 EST 2010
% Result : Theorem 111.06s
% Output : Solution 115.11s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP18741/NUM535+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% not found
% Adding ~C to TBU ... ~m__:
% ---- Iteration 1 (0 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... mDefSub:
% CSA axiom mDefSub found
% Looking for CSA axiom ... mSubRefl:
% CSA axiom mSubRefl found
% Looking for CSA axiom ... mSubTrans:
% CSA axiom mSubTrans found
% ---- Iteration 2 (3 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... m__617:
% CSA axiom m__617 found
% Looking for CSA axiom ... m__617_02:
% CSA axiom m__617_02 found
% Looking for CSA axiom ... mDefCons:
% CSA axiom mDefCons found
% ---- Iteration 3 (6 axioms selected)
% Looking for TBU SAT ...
% yes
% Looking for TBU model ...
% not found
% Looking for CSA axiom ... mDefDiff:
% CSA axiom mDefDiff found
% Looking for CSA axiom ... mSubASymm:
% CSA axiom mSubASymm found
% Looking for CSA axiom ... mEOfElem:
% CSA axiom mEOfElem found
% ---- Iteration 4 (9 axioms selected)
% Looking for TBU SAT ...
% no
% Looking for TBU UNS ...
% yes - theorem proved
% ---- Selection completed
% Selected axioms are ... :mEOfElem:mSubASymm:mDefDiff:mDefCons:m__617_02:m__617:mSubTrans:mSubRefl:mDefSub (9)
% Unselected axioms are ... :mSubFSet:mSetSort:mDefEmp:mFinRel:mCountNFin:mElmSort:mEmpFin:mCountNFin_01:mCntRel (9)
% SZS status THM for /tmp/SystemOnTPTP18741/NUM535+1.tptp
% Looking for THM ...
% found
% SZS output start Solution for /tmp/SystemOnTPTP18741/NUM535+1.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=600 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 600s
% TreeLimitedRun: WC time limit is 1200s
% TreeLimitedRun: PID is 20447
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.93 CPU 2.03 WC
% # Preprocessing time : 0.013 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.49 CPU 4.04 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:(aSet0(X1)=>![X2]:(aElementOf0(X2,X1)=>aElement0(X2))),file('/tmp/SRASS.s.p', mEOfElem)).
% fof(2, axiom,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mSubASymm)).
% fof(3, axiom,![X1]:![X2]:((aSet0(X1)&aElement0(X2))=>![X3]:(X3=sdtmndt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))),file('/tmp/SRASS.s.p', mDefDiff)).
% fof(4, axiom,![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(5, axiom,aElementOf0(xx,xS),file('/tmp/SRASS.s.p', m__617_02)).
% fof(6, axiom,aSet0(xS),file('/tmp/SRASS.s.p', m__617)).
% fof(7, axiom,![X1]:![X2]:![X3]:(((aSet0(X1)&aSet0(X2))&aSet0(X3))=>((aSubsetOf0(X1,X2)&aSubsetOf0(X2,X3))=>aSubsetOf0(X1,X3))),file('/tmp/SRASS.s.p', mSubTrans)).
% fof(8, axiom,![X1]:(aSet0(X1)=>aSubsetOf0(X1,X1)),file('/tmp/SRASS.s.p', mSubRefl)).
% fof(9, axiom,![X1]:(aSet0(X1)=>![X2]:(aSubsetOf0(X2,X1)<=>(aSet0(X2)&![X3]:(aElementOf0(X3,X2)=>aElementOf0(X3,X1))))),file('/tmp/SRASS.s.p', mDefSub)).
% fof(10, conjecture,(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))&aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)),file('/tmp/SRASS.s.p', m__)).
% fof(11, negated_conjecture,~((aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))&aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))),inference(assume_negation,[status(cth)],[10])).
% fof(12, plain,![X1]:(~(aSet0(X1))|![X2]:(~(aElementOf0(X2,X1))|aElement0(X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(13, plain,![X3]:(~(aSet0(X3))|![X4]:(~(aElementOf0(X4,X3))|aElement0(X4))),inference(variable_rename,[status(thm)],[12])).
% fof(14, plain,![X3]:![X4]:((~(aElementOf0(X4,X3))|aElement0(X4))|~(aSet0(X3))),inference(shift_quantors,[status(thm)],[13])).
% cnf(15,plain,(aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)),inference(split_conjunct,[status(thm)],[14])).
% fof(16, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[2])).
% fof(17, plain,![X3]:![X4]:((~(aSet0(X3))|~(aSet0(X4)))|((~(aSubsetOf0(X3,X4))|~(aSubsetOf0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[16])).
% cnf(18,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[17])).
% fof(19, plain,![X1]:![X2]:((~(aSet0(X1))|~(aElement0(X2)))|![X3]:((~(X3=sdtmndt0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))&(((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2)|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|((~(aElement0(X4))|~(aElementOf0(X4,X1)))|X4=X2))&(aElementOf0(X4,X3)|((aElement0(X4)&aElementOf0(X4,X1))&~(X4=X2)))))|X3=sdtmndt0(X1,X2)))),inference(fof_nnf,[status(thm)],[3])).
% fof(20, 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)],[19])).
% fof(21, 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(esk1_3(X5,X6,X7),X7))|((~(aElement0(esk1_3(X5,X6,X7)))|~(aElementOf0(esk1_3(X5,X6,X7),X5)))|esk1_3(X5,X6,X7)=X6))&(aElementOf0(esk1_3(X5,X6,X7),X7)|((aElement0(esk1_3(X5,X6,X7))&aElementOf0(esk1_3(X5,X6,X7),X5))&~(esk1_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))),inference(skolemize,[status(esa)],[20])).
% fof(22, 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(esk1_3(X5,X6,X7),X7))|((~(aElement0(esk1_3(X5,X6,X7)))|~(aElementOf0(esk1_3(X5,X6,X7),X5)))|esk1_3(X5,X6,X7)=X6))&(aElementOf0(esk1_3(X5,X6,X7),X7)|((aElement0(esk1_3(X5,X6,X7))&aElementOf0(esk1_3(X5,X6,X7),X5))&~(esk1_3(X5,X6,X7)=X6)))))|X7=sdtmndt0(X5,X6)))|(~(aSet0(X5))|~(aElement0(X6)))),inference(shift_quantors,[status(thm)],[21])).
% fof(23, 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(esk1_3(X5,X6,X7),X7))|((~(aElement0(esk1_3(X5,X6,X7)))|~(aElementOf0(esk1_3(X5,X6,X7),X5)))|esk1_3(X5,X6,X7)=X6))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((((aElement0(esk1_3(X5,X6,X7))|aElementOf0(esk1_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))&((((aElementOf0(esk1_3(X5,X6,X7),X5)|aElementOf0(esk1_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6)))))&((((~(esk1_3(X5,X6,X7)=X6)|aElementOf0(esk1_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtmndt0(X5,X6))|(~(aSet0(X5))|~(aElement0(X6))))))),inference(distribute,[status(thm)],[22])).
% cnf(25,plain,(X3=sdtmndt0(X2,X1)|aElementOf0(esk1_3(X2,X1,X3),X3)|aElementOf0(esk1_3(X2,X1,X3),X2)|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)),inference(split_conjunct,[status(thm)],[23])).
% cnf(27,plain,(X3=sdtmndt0(X2,X1)|esk1_3(X2,X1,X3)=X1|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)|~aElementOf0(esk1_3(X2,X1,X3),X2)|~aElement0(esk1_3(X2,X1,X3))|~aElementOf0(esk1_3(X2,X1,X3),X3)),inference(split_conjunct,[status(thm)],[23])).
% cnf(28,plain,(aSet0(X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)),inference(split_conjunct,[status(thm)],[23])).
% cnf(29,plain,(aElementOf0(X4,X3)|X4=X1|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X2)|~aElement0(X4)),inference(split_conjunct,[status(thm)],[23])).
% cnf(30,plain,(~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)|X4!=X1),inference(split_conjunct,[status(thm)],[23])).
% cnf(31,plain,(aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtmndt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[23])).
% fof(33, 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)],[4])).
% fof(34, 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)],[33])).
% fof(35, 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)],[34])).
% fof(36, 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)],[35])).
% fof(37, 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)],[36])).
% cnf(38,plain,(X3=sdtpldt0(X2,X1)|aElementOf0(esk2_3(X2,X1,X3),X3)|esk2_3(X2,X1,X3)=X1|aElementOf0(esk2_3(X2,X1,X3),X2)|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)),inference(split_conjunct,[status(thm)],[37])).
% cnf(40,plain,(X3=sdtpldt0(X2,X1)|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)|~aElementOf0(esk2_3(X2,X1,X3),X3)|~aElement0(esk2_3(X2,X1,X3))|esk2_3(X2,X1,X3)!=X1),inference(split_conjunct,[status(thm)],[37])).
% cnf(41,plain,(X3=sdtpldt0(X2,X1)|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)|~aElementOf0(esk2_3(X2,X1,X3),X3)|~aElement0(esk2_3(X2,X1,X3))|~aElementOf0(esk2_3(X2,X1,X3),X2)),inference(split_conjunct,[status(thm)],[37])).
% cnf(42,plain,(aSet0(X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)),inference(split_conjunct,[status(thm)],[37])).
% cnf(43,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|X4!=X1),inference(split_conjunct,[status(thm)],[37])).
% cnf(44,plain,(aElementOf0(X4,X3)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElement0(X4)|~aElementOf0(X4,X2)),inference(split_conjunct,[status(thm)],[37])).
% cnf(45,plain,(X4=X1|aElementOf0(X4,X2)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[37])).
% cnf(46,plain,(aElement0(X4)|~aElement0(X1)|~aSet0(X2)|X3!=sdtpldt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[37])).
% cnf(47,plain,(aElementOf0(xx,xS)),inference(split_conjunct,[status(thm)],[5])).
% cnf(48,plain,(aSet0(xS)),inference(split_conjunct,[status(thm)],[6])).
% fof(49, plain,![X1]:![X2]:![X3]:(((~(aSet0(X1))|~(aSet0(X2)))|~(aSet0(X3)))|((~(aSubsetOf0(X1,X2))|~(aSubsetOf0(X2,X3)))|aSubsetOf0(X1,X3))),inference(fof_nnf,[status(thm)],[7])).
% fof(50, plain,![X4]:![X5]:![X6]:(((~(aSet0(X4))|~(aSet0(X5)))|~(aSet0(X6)))|((~(aSubsetOf0(X4,X5))|~(aSubsetOf0(X5,X6)))|aSubsetOf0(X4,X6))),inference(variable_rename,[status(thm)],[49])).
% cnf(51,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)|~aSet0(X3)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X1]:(~(aSet0(X1))|aSubsetOf0(X1,X1)),inference(fof_nnf,[status(thm)],[8])).
% fof(53, plain,![X2]:(~(aSet0(X2))|aSubsetOf0(X2,X2)),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(aSubsetOf0(X1,X1)|~aSet0(X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:(~(aSet0(X1))|![X2]:((~(aSubsetOf0(X2,X1))|(aSet0(X2)&![X3]:(~(aElementOf0(X3,X2))|aElementOf0(X3,X1))))&((~(aSet0(X2))|?[X3]:(aElementOf0(X3,X2)&~(aElementOf0(X3,X1))))|aSubsetOf0(X2,X1)))),inference(fof_nnf,[status(thm)],[9])).
% fof(56, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|?[X7]:(aElementOf0(X7,X5)&~(aElementOf0(X7,X4))))|aSubsetOf0(X5,X4)))),inference(variable_rename,[status(thm)],[55])).
% fof(57, plain,![X4]:(~(aSet0(X4))|![X5]:((~(aSubsetOf0(X5,X4))|(aSet0(X5)&![X6]:(~(aElementOf0(X6,X5))|aElementOf0(X6,X4))))&((~(aSet0(X5))|(aElementOf0(esk3_2(X4,X5),X5)&~(aElementOf0(esk3_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))),inference(skolemize,[status(esa)],[56])).
% fof(58, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))&aSet0(X5))|~(aSubsetOf0(X5,X4)))&((~(aSet0(X5))|(aElementOf0(esk3_2(X4,X5),X5)&~(aElementOf0(esk3_2(X4,X5),X4))))|aSubsetOf0(X5,X4)))|~(aSet0(X4))),inference(shift_quantors,[status(thm)],[57])).
% fof(59, plain,![X4]:![X5]:![X6]:(((((~(aElementOf0(X6,X5))|aElementOf0(X6,X4))|~(aSubsetOf0(X5,X4)))|~(aSet0(X4)))&((aSet0(X5)|~(aSubsetOf0(X5,X4)))|~(aSet0(X4))))&((((aElementOf0(esk3_2(X4,X5),X5)|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4)))&(((~(aElementOf0(esk3_2(X4,X5),X4))|~(aSet0(X5)))|aSubsetOf0(X5,X4))|~(aSet0(X4))))),inference(distribute,[status(thm)],[58])).
% cnf(60,plain,(aSubsetOf0(X2,X1)|~aSet0(X1)|~aSet0(X2)|~aElementOf0(esk3_2(X1,X2),X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(61,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),X2)|~aSet0(X1)|~aSet0(X2)),inference(split_conjunct,[status(thm)],[59])).
% cnf(62,plain,(aSet0(X2)|~aSet0(X1)|~aSubsetOf0(X2,X1)),inference(split_conjunct,[status(thm)],[59])).
% cnf(63,plain,(aElementOf0(X3,X1)|~aSet0(X1)|~aSubsetOf0(X2,X1)|~aElementOf0(X3,X2)),inference(split_conjunct,[status(thm)],[59])).
% fof(64, negated_conjecture,(~(aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)))|~(aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS))),inference(fof_nnf,[status(thm)],[11])).
% cnf(65,negated_conjecture,(~aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(split_conjunct,[status(thm)],[64])).
% cnf(66,plain,(X1=X2|~aSubsetOf0(X2,X1)|~aSubsetOf0(X1,X2)|~aSet0(X2)),inference(csr,[status(thm)],[18,62])).
% cnf(67,plain,(aElementOf0(X1,X2)|sdtpldt0(X3,X1)!=X2|~aElement0(X1)|~aSet0(X3)),inference(er,[status(thm)],[43,theory(equality)])).
% cnf(68,plain,(sdtmndt0(X1,X2)!=X3|~aElement0(X2)|~aElementOf0(X2,X3)|~aSet0(X1)),inference(er,[status(thm)],[30,theory(equality)])).
% cnf(69,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[51,62])).
% cnf(70,plain,(aSubsetOf0(X1,X2)|~aSubsetOf0(X3,X2)|~aSubsetOf0(X1,X3)|~aSet0(X2)),inference(csr,[status(thm)],[69,62])).
% cnf(71,plain,(aElementOf0(X4,X3)|sdtpldt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[44,15])).
% cnf(72,plain,(X1=X4|aElementOf0(X4,X3)|sdtmndt0(X2,X1)!=X3|~aElement0(X1)|~aElementOf0(X4,X2)|~aSet0(X2)),inference(csr,[status(thm)],[29,15])).
% cnf(75,plain,(sdtpldt0(X2,X1)=X3|esk2_3(X2,X1,X3)!=X1|~aElement0(X1)|~aElementOf0(esk2_3(X2,X1,X3),X3)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[40,15])).
% cnf(76,plain,(sdtpldt0(X2,X1)=X3|~aElement0(X1)|~aElementOf0(esk2_3(X2,X1,X3),X3)|~aElementOf0(esk2_3(X2,X1,X3),X2)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[41,15])).
% cnf(77,plain,(esk1_3(X2,X1,X3)=X1|sdtmndt0(X2,X1)=X3|~aElement0(X1)|~aElementOf0(esk1_3(X2,X1,X3),X3)|~aElementOf0(esk1_3(X2,X1,X3),X2)|~aSet0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[27,15])).
% cnf(79,plain,(aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[15,47,theory(equality)])).
% cnf(80,plain,(aElement0(xx)|$false),inference(rw,[status(thm)],[79,48,theory(equality)])).
% cnf(81,plain,(aElement0(xx)),inference(cn,[status(thm)],[80,theory(equality)])).
% cnf(82,plain,(aSet0(sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(er,[status(thm)],[28,theory(equality)])).
% cnf(83,plain,(aSet0(sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(er,[status(thm)],[42,theory(equality)])).
% cnf(84,plain,(~aElement0(X1)|~aElementOf0(X1,sdtmndt0(X2,X1))|~aSet0(X2)),inference(er,[status(thm)],[68,theory(equality)])).
% cnf(92,plain,(aElementOf0(X1,X2)|~aElement0(X3)|~aElementOf0(X1,sdtmndt0(X2,X3))|~aSet0(X2)),inference(er,[status(thm)],[31,theory(equality)])).
% cnf(93,plain,(aElementOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElementOf0(X1,X2)|~aSet0(X2)),inference(er,[status(thm)],[71,theory(equality)])).
% cnf(94,plain,(X1=X2|aElementOf0(X2,X3)|~aElement0(X1)|~aElementOf0(X2,sdtpldt0(X3,X1))|~aSet0(X3)),inference(er,[status(thm)],[45,theory(equality)])).
% cnf(95,plain,(X1=X2|aElementOf0(X2,sdtmndt0(X3,X1))|~aElement0(X1)|~aElementOf0(X2,X3)|~aSet0(X3)),inference(er,[status(thm)],[72,theory(equality)])).
% cnf(102,plain,(sdtmndt0(X1,xx)=X2|aElementOf0(esk1_3(X1,xx,X2),X2)|aElementOf0(esk1_3(X1,xx,X2),X1)|~aSet0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[25,81,theory(equality)])).
% cnf(103,plain,(esk2_3(X1,xx,X2)=xx|sdtpldt0(X1,xx)=X2|aElementOf0(esk2_3(X1,xx,X2),X2)|aElementOf0(esk2_3(X1,xx,X2),X1)|~aSet0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[38,81,theory(equality)])).
% cnf(112,plain,(aElementOf0(esk3_2(X1,sdtmndt0(X2,X3)),X2)|aSubsetOf0(sdtmndt0(X2,X3),X1)|~aElement0(X3)|~aSet0(X2)|~aSet0(sdtmndt0(X2,X3))|~aSet0(X1)),inference(spm,[status(thm)],[92,61,theory(equality)])).
% cnf(114,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSet0(X1)|~aSet0(sdtpldt0(X2,X3))|~aElement0(X3)|~aElementOf0(esk3_2(sdtpldt0(X2,X3),X1),X2)|~aSet0(X2)),inference(spm,[status(thm)],[60,93,theory(equality)])).
% cnf(120,plain,(X1=esk3_2(X2,sdtpldt0(X3,X1))|aElementOf0(esk3_2(X2,sdtpldt0(X3,X1)),X3)|aSubsetOf0(sdtpldt0(X3,X1),X2)|~aElement0(X1)|~aSet0(X3)|~aSet0(sdtpldt0(X3,X1))|~aSet0(X2)),inference(spm,[status(thm)],[94,61,theory(equality)])).
% cnf(124,plain,(aSubsetOf0(X1,sdtmndt0(X2,X3))|X3=esk3_2(sdtmndt0(X2,X3),X1)|~aSet0(X1)|~aSet0(sdtmndt0(X2,X3))|~aElement0(X3)|~aElementOf0(esk3_2(sdtmndt0(X2,X3),X1),X2)|~aSet0(X2)),inference(spm,[status(thm)],[60,95,theory(equality)])).
% cnf(144,plain,(sdtmndt0(X1,xx)=xS|aElementOf0(esk1_3(X1,xx,xS),X1)|aElementOf0(esk1_3(X1,xx,xS),xS)|~aSet0(X1)),inference(spm,[status(thm)],[102,48,theory(equality)])).
% cnf(148,plain,(sdtmndt0(xS,xx)=xS|aElementOf0(esk1_3(xS,xx,xS),xS)),inference(spm,[status(thm)],[144,48,theory(equality)])).
% cnf(151,plain,(aElement0(esk1_3(xS,xx,xS))|sdtmndt0(xS,xx)=xS|~aSet0(xS)),inference(spm,[status(thm)],[15,148,theory(equality)])).
% cnf(152,plain,(esk1_3(xS,xx,xS)=xx|sdtmndt0(xS,xx)=xS|~aElement0(xx)|~aElementOf0(esk1_3(xS,xx,xS),xS)|~aSet0(xS)),inference(spm,[status(thm)],[77,148,theory(equality)])).
% cnf(153,plain,(aElement0(esk1_3(xS,xx,xS))|sdtmndt0(xS,xx)=xS|$false),inference(rw,[status(thm)],[151,48,theory(equality)])).
% cnf(154,plain,(aElement0(esk1_3(xS,xx,xS))|sdtmndt0(xS,xx)=xS),inference(cn,[status(thm)],[153,theory(equality)])).
% cnf(155,plain,(esk1_3(xS,xx,xS)=xx|sdtmndt0(xS,xx)=xS|$false|~aElementOf0(esk1_3(xS,xx,xS),xS)|~aSet0(xS)),inference(rw,[status(thm)],[152,81,theory(equality)])).
% cnf(156,plain,(esk1_3(xS,xx,xS)=xx|sdtmndt0(xS,xx)=xS|$false|~aElementOf0(esk1_3(xS,xx,xS),xS)|$false),inference(rw,[status(thm)],[155,48,theory(equality)])).
% cnf(157,plain,(esk1_3(xS,xx,xS)=xx|sdtmndt0(xS,xx)=xS|~aElementOf0(esk1_3(xS,xx,xS),xS)),inference(cn,[status(thm)],[156,theory(equality)])).
% cnf(160,plain,(esk1_3(xS,xx,xS)=xx|sdtmndt0(xS,xx)=xS),inference(csr,[status(thm)],[157,148])).
% cnf(175,plain,(aSubsetOf0(sdtmndt0(X2,X3),X1)|aElementOf0(esk3_2(X1,sdtmndt0(X2,X3)),X2)|~aElement0(X3)|~aSet0(X1)|~aSet0(X2)),inference(csr,[status(thm)],[112,82])).
% cnf(181,plain,(aSubsetOf0(sdtmndt0(X1,X2),X1)|~aSet0(sdtmndt0(X1,X2))|~aSet0(X1)|~aElement0(X2)),inference(spm,[status(thm)],[60,175,theory(equality)])).
% cnf(182,plain,(aSubsetOf0(sdtmndt0(X1,X2),X1)|~aElement0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[181,82])).
% cnf(250,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aElement0(X3)|~aElementOf0(esk3_2(sdtpldt0(X2,X3),X1),X2)|~aSet0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[114,83])).
% cnf(253,plain,(aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X1,X3))|~aElement0(X3)|~aSet0(sdtmndt0(X1,X2))|~aSet0(X1)|~aElement0(X2)|~aSet0(sdtpldt0(X1,X3))),inference(spm,[status(thm)],[250,175,theory(equality)])).
% cnf(254,plain,(aSubsetOf0(X1,sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1)|~aSet0(sdtpldt0(X1,X2))),inference(spm,[status(thm)],[250,61,theory(equality)])).
% cnf(255,plain,(aSubsetOf0(X1,sdtpldt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[254,83])).
% cnf(256,plain,(sdtpldt0(X1,X2)=X1|~aSubsetOf0(sdtpldt0(X1,X2),X1)|~aSet0(X1)|~aElement0(X2)),inference(spm,[status(thm)],[66,255,theory(equality)])).
% cnf(259,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSubsetOf0(X1,X2)|~aSet0(sdtpldt0(X2,X3))|~aElement0(X3)|~aSet0(X2)),inference(spm,[status(thm)],[70,255,theory(equality)])).
% cnf(260,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSubsetOf0(X1,X2)|~aElement0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[259,83])).
% cnf(265,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSubsetOf0(X1,X4)|~aSet0(sdtpldt0(X2,X3))|~aSubsetOf0(X4,X2)|~aElement0(X3)|~aSet0(X2)),inference(spm,[status(thm)],[70,260,theory(equality)])).
% cnf(271,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSubsetOf0(X4,X2)|~aSubsetOf0(X1,X4)|~aElement0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[265,83])).
% cnf(274,plain,(aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X3,X4))|~aSubsetOf0(X1,X3)|~aElement0(X4)|~aSet0(X3)|~aElement0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[271,182,theory(equality)])).
% cnf(275,plain,(aSubsetOf0(X1,sdtpldt0(X2,X3))|~aSubsetOf0(sdtpldt0(X4,X5),X2)|~aElement0(X3)|~aSet0(X2)|~aSubsetOf0(X1,X4)|~aElement0(X5)|~aSet0(X4)),inference(spm,[status(thm)],[271,260,theory(equality)])).
% cnf(287,plain,(aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X3,X4))|~aSubsetOf0(X1,X3)|~aElement0(X4)|~aElement0(X2)|~aSet0(X3)),inference(csr,[status(thm)],[274,62])).
% cnf(288,plain,(sdtpldt0(X1,X2)=sdtmndt0(X3,X4)|~aSubsetOf0(sdtpldt0(X1,X2),sdtmndt0(X3,X4))|~aSet0(sdtmndt0(X3,X4))|~aSubsetOf0(X3,X1)|~aElement0(X2)|~aElement0(X4)|~aSet0(X1)),inference(spm,[status(thm)],[66,287,theory(equality)])).
% cnf(289,plain,(aSet0(sdtmndt0(X1,X2))|~aSet0(sdtpldt0(X3,X4))|~aSubsetOf0(X1,X3)|~aElement0(X4)|~aElement0(X2)|~aSet0(X3)),inference(spm,[status(thm)],[62,287,theory(equality)])).
% cnf(317,plain,(aSet0(sdtmndt0(X1,X2))|~aSubsetOf0(X1,X3)|~aElement0(X4)|~aElement0(X2)|~aSet0(X3)),inference(csr,[status(thm)],[289,83])).
% cnf(327,plain,(esk2_3(X1,xx,xS)=xx|sdtpldt0(X1,xx)=xS|aElementOf0(esk2_3(X1,xx,xS),X1)|aElementOf0(esk2_3(X1,xx,xS),xS)|~aSet0(X1)),inference(spm,[status(thm)],[103,48,theory(equality)])).
% cnf(334,plain,(aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X1,X3))|~aElement0(X3)|~aElement0(X2)|~aSet0(sdtmndt0(X1,X2))|~aSet0(X1)),inference(csr,[status(thm)],[253,83])).
% cnf(335,plain,(aSubsetOf0(sdtmndt0(X1,X2),sdtpldt0(X1,X3))|~aElement0(X2)|~aElement0(X3)|~aSet0(X1)),inference(csr,[status(thm)],[334,82])).
% cnf(354,plain,(aSubsetOf0(X1,sdtpldt0(sdtpldt0(X2,X3),X4))|~aSubsetOf0(X1,X2)|~aElement0(X4)|~aElement0(X3)|~aSet0(sdtpldt0(X2,X3))|~aSet0(X2)),inference(spm,[status(thm)],[275,54,theory(equality)])).
% cnf(359,plain,(aSubsetOf0(X1,sdtpldt0(sdtpldt0(X2,X3),X4))|~aSubsetOf0(X1,X2)|~aElement0(X4)|~aElement0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[354,83])).
% cnf(496,plain,(sdtpldt0(X1,X2)=sdtmndt0(X3,X4)|~aSubsetOf0(sdtpldt0(X1,X2),sdtmndt0(X3,X4))|~aSubsetOf0(X3,X1)|~aElement0(X2)|~aElement0(X4)|~aSet0(X1)),inference(csr,[status(thm)],[288,317])).
% cnf(524,plain,(esk2_3(xS,xx,xS)=xx|sdtpldt0(xS,xx)=xS|aElementOf0(esk2_3(xS,xx,xS),xS)),inference(spm,[status(thm)],[327,48,theory(equality)])).
% cnf(528,plain,(esk2_3(sdtmndt0(X1,X2),xx,xS)=xx|sdtpldt0(sdtmndt0(X1,X2),xx)=xS|aElementOf0(esk2_3(sdtmndt0(X1,X2),xx,xS),xS)|aElementOf0(esk2_3(sdtmndt0(X1,X2),xx,xS),sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[327,82,theory(equality)])).
% cnf(531,plain,(sdtpldt0(xS,xx)=xS|esk2_3(xS,xx,xS)=xx|~aElement0(xx)|~aElementOf0(esk2_3(xS,xx,xS),xS)|~aSet0(xS)),inference(spm,[status(thm)],[76,524,theory(equality)])).
% cnf(537,plain,(sdtpldt0(xS,xx)=xS|esk2_3(xS,xx,xS)=xx|$false|~aElementOf0(esk2_3(xS,xx,xS),xS)|~aSet0(xS)),inference(rw,[status(thm)],[531,81,theory(equality)])).
% cnf(538,plain,(sdtpldt0(xS,xx)=xS|esk2_3(xS,xx,xS)=xx|$false|~aElementOf0(esk2_3(xS,xx,xS),xS)|$false),inference(rw,[status(thm)],[537,48,theory(equality)])).
% cnf(539,plain,(sdtpldt0(xS,xx)=xS|esk2_3(xS,xx,xS)=xx|~aElementOf0(esk2_3(xS,xx,xS),xS)),inference(cn,[status(thm)],[538,theory(equality)])).
% cnf(546,plain,(esk2_3(xS,xx,xS)=xx|sdtpldt0(xS,xx)=xS),inference(csr,[status(thm)],[539,524])).
% cnf(548,plain,(sdtpldt0(xS,xx)=xS|~aElement0(xx)|~aElementOf0(xx,xS)|~aSet0(xS)),inference(spm,[status(thm)],[75,546,theory(equality)])).
% cnf(554,plain,(sdtpldt0(xS,xx)=xS|$false|~aElementOf0(xx,xS)|~aSet0(xS)),inference(rw,[status(thm)],[548,81,theory(equality)])).
% cnf(555,plain,(sdtpldt0(xS,xx)=xS|$false|$false|~aSet0(xS)),inference(rw,[status(thm)],[554,47,theory(equality)])).
% cnf(556,plain,(sdtpldt0(xS,xx)=xS|$false|$false|$false),inference(rw,[status(thm)],[555,48,theory(equality)])).
% cnf(557,plain,(sdtpldt0(xS,xx)=xS),inference(cn,[status(thm)],[556,theory(equality)])).
% cnf(563,plain,(aSet0(X1)|xS!=X1|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[42,557,theory(equality)])).
% cnf(564,plain,(aElement0(X1)|xS!=X2|~aElement0(xx)|~aElementOf0(X1,X2)|~aSet0(xS)),inference(spm,[status(thm)],[46,557,theory(equality)])).
% cnf(568,plain,(aSubsetOf0(X1,sdtpldt0(xS,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[359,557,theory(equality)])).
% cnf(570,plain,(aElementOf0(xx,X1)|xS!=X1|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[67,557,theory(equality)])).
% cnf(578,plain,(aSubsetOf0(xS,xS)|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[255,557,theory(equality)])).
% cnf(580,plain,(xS=sdtmndt0(X1,X2)|~aSubsetOf0(xS,sdtmndt0(X1,X2))|~aSubsetOf0(X1,xS)|~aElement0(xx)|~aElement0(X2)|~aSet0(xS)),inference(spm,[status(thm)],[496,557,theory(equality)])).
% cnf(589,plain,(aSubsetOf0(sdtmndt0(xS,X1),xS)|~aElement0(xx)|~aElement0(X1)|~aSet0(xS)),inference(spm,[status(thm)],[335,557,theory(equality)])).
% cnf(600,plain,(aSet0(X1)|xS!=X1|$false|~aSet0(xS)),inference(rw,[status(thm)],[563,81,theory(equality)])).
% cnf(601,plain,(aSet0(X1)|xS!=X1|$false|$false),inference(rw,[status(thm)],[600,48,theory(equality)])).
% cnf(602,plain,(aSet0(X1)|xS!=X1),inference(cn,[status(thm)],[601,theory(equality)])).
% cnf(603,plain,(aElement0(X1)|xS!=X2|$false|~aElementOf0(X1,X2)|~aSet0(xS)),inference(rw,[status(thm)],[564,81,theory(equality)])).
% cnf(604,plain,(aElement0(X1)|xS!=X2|$false|~aElementOf0(X1,X2)|$false),inference(rw,[status(thm)],[603,48,theory(equality)])).
% cnf(605,plain,(aElement0(X1)|xS!=X2|~aElementOf0(X1,X2)),inference(cn,[status(thm)],[604,theory(equality)])).
% cnf(615,plain,(aSubsetOf0(X1,sdtpldt0(xS,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)|$false|~aSet0(xS)),inference(rw,[status(thm)],[568,81,theory(equality)])).
% cnf(616,plain,(aSubsetOf0(X1,sdtpldt0(xS,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)|$false|$false),inference(rw,[status(thm)],[615,48,theory(equality)])).
% cnf(617,plain,(aSubsetOf0(X1,sdtpldt0(xS,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)),inference(cn,[status(thm)],[616,theory(equality)])).
% cnf(621,plain,(aElementOf0(xx,X1)|xS!=X1|$false|~aSet0(xS)),inference(rw,[status(thm)],[570,81,theory(equality)])).
% cnf(622,plain,(aElementOf0(xx,X1)|xS!=X1|$false|$false),inference(rw,[status(thm)],[621,48,theory(equality)])).
% cnf(623,plain,(aElementOf0(xx,X1)|xS!=X1),inference(cn,[status(thm)],[622,theory(equality)])).
% cnf(646,plain,(aSubsetOf0(xS,xS)|$false|~aSet0(xS)),inference(rw,[status(thm)],[578,81,theory(equality)])).
% cnf(647,plain,(aSubsetOf0(xS,xS)|$false|$false),inference(rw,[status(thm)],[646,48,theory(equality)])).
% cnf(648,plain,(aSubsetOf0(xS,xS)),inference(cn,[status(thm)],[647,theory(equality)])).
% cnf(652,plain,(xS=sdtmndt0(X1,X2)|~aSubsetOf0(xS,sdtmndt0(X1,X2))|~aSubsetOf0(X1,xS)|$false|~aElement0(X2)|~aSet0(xS)),inference(rw,[status(thm)],[580,81,theory(equality)])).
% cnf(653,plain,(xS=sdtmndt0(X1,X2)|~aSubsetOf0(xS,sdtmndt0(X1,X2))|~aSubsetOf0(X1,xS)|$false|~aElement0(X2)|$false),inference(rw,[status(thm)],[652,48,theory(equality)])).
% cnf(654,plain,(xS=sdtmndt0(X1,X2)|~aSubsetOf0(xS,sdtmndt0(X1,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)),inference(cn,[status(thm)],[653,theory(equality)])).
% cnf(679,plain,(aSubsetOf0(sdtmndt0(xS,X1),xS)|$false|~aElement0(X1)|~aSet0(xS)),inference(rw,[status(thm)],[589,81,theory(equality)])).
% cnf(680,plain,(aSubsetOf0(sdtmndt0(xS,X1),xS)|$false|~aElement0(X1)|$false),inference(rw,[status(thm)],[679,48,theory(equality)])).
% cnf(681,plain,(aSubsetOf0(sdtmndt0(xS,X1),xS)|~aElement0(X1)),inference(cn,[status(thm)],[680,theory(equality)])).
% cnf(777,plain,(aSet0(sdtmndt0(xS,X1))|~aSet0(xS)|~aElement0(X1)),inference(spm,[status(thm)],[62,681,theory(equality)])).
% cnf(784,plain,(aSet0(sdtmndt0(xS,X1))|$false|~aElement0(X1)),inference(rw,[status(thm)],[777,48,theory(equality)])).
% cnf(785,plain,(aSet0(sdtmndt0(xS,X1))|~aElement0(X1)),inference(cn,[status(thm)],[784,theory(equality)])).
% cnf(801,plain,(aElement0(esk3_2(X1,X2))|aSubsetOf0(X2,X1)|xS!=X2|~aSet0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[605,61,theory(equality)])).
% cnf(832,plain,(aSet0(X1)|~aSet0(sdtpldt0(xS,X2))|~aSubsetOf0(X1,xS)|~aElement0(X2)),inference(spm,[status(thm)],[62,617,theory(equality)])).
% cnf(887,plain,(esk3_2(X2,sdtpldt0(X3,X1))=X1|aSubsetOf0(sdtpldt0(X3,X1),X2)|aElementOf0(esk3_2(X2,sdtpldt0(X3,X1)),X3)|~aElement0(X1)|~aSet0(X2)|~aSet0(X3)),inference(csr,[status(thm)],[120,83])).
% cnf(898,plain,(aSubsetOf0(sdtpldt0(X1,X2),X1)|esk3_2(X1,sdtpldt0(X1,X2))=X2|~aSet0(sdtpldt0(X1,X2))|~aSet0(X1)|~aElement0(X2)),inference(spm,[status(thm)],[60,887,theory(equality)])).
% cnf(993,plain,(esk3_2(sdtmndt0(X2,X3),X1)=X3|aSubsetOf0(X1,sdtmndt0(X2,X3))|~aElement0(X3)|~aElementOf0(esk3_2(sdtmndt0(X2,X3),X1),X2)|~aSet0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[124,82])).
% cnf(1000,plain,(esk3_2(sdtmndt0(X1,X2),X1)=X2|aSubsetOf0(X1,sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)|~aSet0(sdtmndt0(X1,X2))),inference(spm,[status(thm)],[993,61,theory(equality)])).
% cnf(1023,plain,(aSet0(X1)|~aSubsetOf0(X1,xS)|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[832,557,theory(equality)])).
% cnf(1026,plain,(aSet0(X1)|~aSubsetOf0(X1,xS)|$false|~aSet0(xS)),inference(rw,[status(thm)],[1023,81,theory(equality)])).
% cnf(1027,plain,(aSet0(X1)|~aSubsetOf0(X1,xS)|$false|$false),inference(rw,[status(thm)],[1026,48,theory(equality)])).
% cnf(1028,plain,(aSet0(X1)|~aSubsetOf0(X1,xS)),inference(cn,[status(thm)],[1027,theory(equality)])).
% cnf(1162,plain,(aSubsetOf0(X2,X1)|aElement0(esk3_2(X1,X2))|xS!=X2|~aSet0(X1)),inference(csr,[status(thm)],[801,602])).
% cnf(2116,plain,(esk3_2(X1,sdtpldt0(X1,X2))=X2|aSubsetOf0(sdtpldt0(X1,X2),X1)|~aElement0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[898,83])).
% cnf(2121,plain,(aSubsetOf0(sdtpldt0(X1,X2),X1)|~aElementOf0(X2,X1)|~aSet0(sdtpldt0(X1,X2))|~aSet0(X1)|~aElement0(X2)),inference(spm,[status(thm)],[60,2116,theory(equality)])).
% cnf(2137,plain,(aSubsetOf0(sdtpldt0(X1,X2),X1)|~aElementOf0(X2,X1)|~aSet0(sdtpldt0(X1,X2))|~aSet0(X1)),inference(csr,[status(thm)],[2121,15])).
% cnf(2170,plain,(sdtpldt0(X1,X2)=X1|~aElement0(X2)|~aSet0(X1)|~aElementOf0(X2,X1)|~aSet0(sdtpldt0(X1,X2))),inference(spm,[status(thm)],[256,2137,theory(equality)])).
% cnf(2215,plain,(sdtpldt0(X1,X2)=X1|~aElement0(X2)|~aElementOf0(X2,X1)|~aSet0(X1)),inference(csr,[status(thm)],[2170,83])).
% cnf(2216,plain,(sdtpldt0(X1,X2)=X1|~aElementOf0(X2,X1)|~aSet0(X1)),inference(csr,[status(thm)],[2215,15])).
% cnf(2269,plain,(aSubsetOf0(sdtmndt0(X1,X2),X3)|~aSubsetOf0(X1,X3)|~aElement0(X4)|~aElement0(X2)|~aSet0(X3)|~aElementOf0(X4,X3)),inference(spm,[status(thm)],[287,2216,theory(equality)])).
% cnf(2559,plain,(esk3_2(sdtmndt0(X1,X2),X1)=X2|aSubsetOf0(X1,sdtmndt0(X1,X2))|~aElement0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[1000,82])).
% cnf(2571,plain,(aSubsetOf0(X1,sdtmndt0(X1,X2))|aElementOf0(X2,X1)|~aSet0(X1)|~aSet0(sdtmndt0(X1,X2))|~aElement0(X2)),inference(spm,[status(thm)],[61,2559,theory(equality)])).
% cnf(2991,plain,(aSubsetOf0(X1,sdtmndt0(X1,X2))|aElementOf0(X2,X1)|~aElement0(X2)|~aSet0(X1)),inference(csr,[status(thm)],[2571,82])).
% cnf(3009,plain,(aSubsetOf0(X1,sdtmndt0(X2,X3))|aElementOf0(X3,X2)|~aSubsetOf0(X1,X2)|~aSet0(sdtmndt0(X2,X3))|~aElement0(X3)|~aSet0(X2)),inference(spm,[status(thm)],[70,2991,theory(equality)])).
% cnf(4082,plain,(aSubsetOf0(X1,sdtmndt0(X2,X3))|aElementOf0(X3,X2)|~aSubsetOf0(X1,X2)|~aElement0(X3)|~aSet0(X2)),inference(csr,[status(thm)],[3009,82])).
% cnf(4086,plain,(sdtmndt0(X1,X2)=xS|aElementOf0(X2,X1)|~aSubsetOf0(X1,xS)|~aElement0(X2)|~aSubsetOf0(xS,X1)|~aSet0(X1)),inference(spm,[status(thm)],[654,4082,theory(equality)])).
% cnf(4145,plain,(sdtmndt0(X1,X2)=xS|aElementOf0(X2,X1)|~aSubsetOf0(X1,xS)|~aSubsetOf0(xS,X1)|~aElement0(X2)),inference(csr,[status(thm)],[4086,1028])).
% cnf(4238,plain,(aElementOf0(X2,X1)|xS!=X3|~aElement0(X2)|~aElementOf0(X2,X3)|~aSet0(X1)|~aSubsetOf0(X1,xS)|~aSubsetOf0(xS,X1)),inference(spm,[status(thm)],[68,4145,theory(equality)])).
% cnf(4878,plain,(aElementOf0(X2,X1)|xS!=X3|~aSubsetOf0(X1,xS)|~aSubsetOf0(xS,X1)|~aElement0(X2)|~aElementOf0(X2,X3)),inference(csr,[status(thm)],[4238,1028])).
% cnf(4879,plain,(aElementOf0(X2,X1)|xS!=X3|~aSubsetOf0(X1,xS)|~aSubsetOf0(xS,X1)|~aElementOf0(X2,X3)),inference(csr,[status(thm)],[4878,605])).
% cnf(4889,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|xS!=X3|~aSubsetOf0(xS,sdtmndt0(xS,X2))|~aElementOf0(X1,X3)|~aElement0(X2)|~aSet0(xS)),inference(spm,[status(thm)],[4879,182,theory(equality)])).
% cnf(4913,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|xS!=X3|~aSubsetOf0(xS,sdtmndt0(xS,X2))|~aElementOf0(X1,X3)|~aElement0(X2)|$false),inference(rw,[status(thm)],[4889,48,theory(equality)])).
% cnf(4914,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|xS!=X3|~aSubsetOf0(xS,sdtmndt0(xS,X2))|~aElementOf0(X1,X3)|~aElement0(X2)),inference(cn,[status(thm)],[4913,theory(equality)])).
% cnf(4940,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|aElementOf0(X2,xS)|xS!=X3|~aElement0(X2)|~aElementOf0(X1,X3)|~aSubsetOf0(xS,xS)|~aSet0(xS)),inference(spm,[status(thm)],[4914,4082,theory(equality)])).
% cnf(4951,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|aElementOf0(X2,xS)|xS!=X3|~aElement0(X2)|~aElementOf0(X1,X3)|$false|~aSet0(xS)),inference(rw,[status(thm)],[4940,648,theory(equality)])).
% cnf(4952,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|aElementOf0(X2,xS)|xS!=X3|~aElement0(X2)|~aElementOf0(X1,X3)|$false|$false),inference(rw,[status(thm)],[4951,48,theory(equality)])).
% cnf(4953,plain,(aElementOf0(X1,sdtmndt0(xS,X2))|aElementOf0(X2,xS)|xS!=X3|~aElement0(X2)|~aElementOf0(X1,X3)),inference(cn,[status(thm)],[4952,theory(equality)])).
% cnf(4988,plain,(aElementOf0(esk3_2(X1,X2),sdtmndt0(xS,X3))|aElementOf0(X3,xS)|aSubsetOf0(X2,X1)|xS!=X2|~aElement0(X3)|~aSet0(X2)|~aSet0(X1)),inference(spm,[status(thm)],[4953,61,theory(equality)])).
% cnf(7752,plain,(aSubsetOf0(sdtmndt0(X1,X2),X3)|~aSubsetOf0(X1,X3)|~aElement0(X2)|~aElementOf0(X4,X3)|~aSet0(X3)),inference(csr,[status(thm)],[2269,15])).
% cnf(7761,plain,(aSubsetOf0(sdtmndt0(X1,X2),X3)|aSubsetOf0(X3,X4)|~aSubsetOf0(X1,X3)|~aElement0(X2)|~aSet0(X3)|~aSet0(X4)),inference(spm,[status(thm)],[7752,61,theory(equality)])).
% cnf(7779,plain,(aSubsetOf0(sdtmndt0(X1,X2),X3)|~aSubsetOf0(X1,X3)|~aElement0(X2)|~aSet0(X3)|xS!=X3),inference(spm,[status(thm)],[7752,623,theory(equality)])).
% cnf(7869,plain,(aSubsetOf0(sdtmndt0(X1,X2),X3)|xS!=X3|~aSubsetOf0(X1,X3)|~aElement0(X2)),inference(csr,[status(thm)],[7779,602])).
% cnf(7901,plain,(X1=sdtmndt0(X2,X3)|~aSubsetOf0(X1,sdtmndt0(X2,X3))|~aSet0(sdtmndt0(X2,X3))|xS!=X1|~aSubsetOf0(X2,X1)|~aElement0(X3)),inference(spm,[status(thm)],[66,7869,theory(equality)])).
% cnf(7902,plain,(aSet0(sdtmndt0(X1,X2))|~aSet0(X3)|xS!=X3|~aSubsetOf0(X1,X3)|~aElement0(X2)),inference(spm,[status(thm)],[62,7869,theory(equality)])).
% cnf(7982,plain,(aSet0(sdtmndt0(X1,X2))|xS!=X3|~aSubsetOf0(X1,X3)|~aElement0(X2)),inference(csr,[status(thm)],[7902,602])).
% cnf(8853,plain,(X1=sdtmndt0(X2,X3)|xS!=X1|~aSubsetOf0(X1,sdtmndt0(X2,X3))|~aSubsetOf0(X2,X1)|~aElement0(X3)),inference(csr,[status(thm)],[7901,7982])).
% cnf(24918,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),sdtmndt0(xS,X3))|aElementOf0(X3,xS)|xS!=X2|~aElement0(X3)|~aSet0(X1)),inference(csr,[status(thm)],[4988,602])).
% cnf(24923,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),xS)|~aElement0(esk3_2(X1,X2))|~aSet0(xS)|xS!=X2|~aSet0(X1)),inference(spm,[status(thm)],[84,24918,theory(equality)])).
% cnf(24960,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),xS)|~aElement0(esk3_2(X1,X2))|$false|xS!=X2|~aSet0(X1)),inference(rw,[status(thm)],[24923,48,theory(equality)])).
% cnf(24961,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),xS)|~aElement0(esk3_2(X1,X2))|xS!=X2|~aSet0(X1)),inference(cn,[status(thm)],[24960,theory(equality)])).
% cnf(25973,plain,(aSubsetOf0(X2,X1)|aElementOf0(esk3_2(X1,X2),xS)|xS!=X2|~aSet0(X1)),inference(csr,[status(thm)],[24961,1162])).
% cnf(26000,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|~aSet0(xS)|xS!=X1),inference(spm,[status(thm)],[60,25973,theory(equality)])).
% cnf(26022,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|$false|xS!=X1),inference(rw,[status(thm)],[26000,48,theory(equality)])).
% cnf(26023,plain,(aSubsetOf0(X1,xS)|~aSet0(X1)|xS!=X1),inference(cn,[status(thm)],[26022,theory(equality)])).
% cnf(26028,plain,(aSubsetOf0(X1,xS)|xS!=X1),inference(csr,[status(thm)],[26023,602])).
% cnf(26091,negated_conjecture,(~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))|xS!=sdtpldt0(sdtmndt0(xS,xx),xx)),inference(spm,[status(thm)],[65,26028,theory(equality)])).
% cnf(26110,plain,(aSubsetOf0(sdtmndt0(X1,X2),xS)|aSubsetOf0(xS,X3)|~aElement0(X2)|~aSet0(xS)|~aSet0(X3)|xS!=X1),inference(spm,[status(thm)],[7761,26028,theory(equality)])).
% cnf(26247,plain,(aSubsetOf0(sdtmndt0(X1,X2),xS)|aSubsetOf0(xS,X3)|~aElement0(X2)|$false|~aSet0(X3)|xS!=X1),inference(rw,[status(thm)],[26110,48,theory(equality)])).
% cnf(26248,plain,(aSubsetOf0(sdtmndt0(X1,X2),xS)|aSubsetOf0(xS,X3)|~aElement0(X2)|~aSet0(X3)|xS!=X1),inference(cn,[status(thm)],[26247,theory(equality)])).
% cnf(26596,plain,(aSubsetOf0(sdtmndt0(X1,xx),xS)|aSubsetOf0(xS,X2)|xS!=X1|~aSet0(X2)),inference(spm,[status(thm)],[26248,81,theory(equality)])).
% cnf(26600,plain,(aSubsetOf0(sdtmndt0(X1,xx),xS)|aSubsetOf0(xS,sdtmndt0(xS,X2))|xS!=X1|~aElement0(X2)),inference(spm,[status(thm)],[26596,785,theory(equality)])).
% cnf(26633,plain,(aSubsetOf0(xS,sdtmndt0(xS,esk1_3(xS,xx,xS)))|aSubsetOf0(sdtmndt0(X1,xx),xS)|sdtmndt0(xS,xx)=xS|xS!=X1),inference(spm,[status(thm)],[26600,154,theory(equality)])).
% cnf(26637,plain,(aSubsetOf0(xS,sdtmndt0(xS,xx))|aSubsetOf0(sdtmndt0(X1,xx),xS)|xS!=X1),inference(spm,[status(thm)],[26600,81,theory(equality)])).
% cnf(26641,plain,(aSet0(sdtmndt0(X1,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|~aSet0(xS)|xS!=X1),inference(spm,[status(thm)],[62,26637,theory(equality)])).
% cnf(26689,plain,(aSet0(sdtmndt0(X1,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|$false|xS!=X1),inference(rw,[status(thm)],[26641,48,theory(equality)])).
% cnf(26690,plain,(aSet0(sdtmndt0(X1,xx))|aSubsetOf0(xS,sdtmndt0(xS,xx))|xS!=X1),inference(cn,[status(thm)],[26689,theory(equality)])).
% cnf(26757,plain,(aSubsetOf0(xS,sdtmndt0(xS,xx))|aSet0(sdtmndt0(xS,xx))),inference(er,[status(thm)],[26690,theory(equality)])).
% cnf(26776,plain,(xS=sdtmndt0(xS,xx)|aSet0(sdtmndt0(xS,xx))|~aSubsetOf0(xS,xS)|~aElement0(xx)),inference(spm,[status(thm)],[8853,26757,theory(equality)])).
% cnf(26832,plain,(xS=sdtmndt0(xS,xx)|aSet0(sdtmndt0(xS,xx))|$false|~aElement0(xx)),inference(rw,[status(thm)],[26776,648,theory(equality)])).
% cnf(26833,plain,(xS=sdtmndt0(xS,xx)|aSet0(sdtmndt0(xS,xx))|$false|$false),inference(rw,[status(thm)],[26832,81,theory(equality)])).
% cnf(26834,plain,(xS=sdtmndt0(xS,xx)|aSet0(sdtmndt0(xS,xx))),inference(cn,[status(thm)],[26833,theory(equality)])).
% cnf(26950,plain,(aSet0(sdtmndt0(xS,xx))),inference(csr,[status(thm)],[26834,602])).
% cnf(29698,plain,(sdtmndt0(xS,xx)=xS|aSubsetOf0(xS,sdtmndt0(xS,esk1_3(xS,xx,xS)))|aSubsetOf0(sdtmndt0(xS,xx),xS)),inference(er,[status(thm)],[26633,theory(equality)])).
% cnf(29699,plain,(aSubsetOf0(xS,sdtmndt0(xS,esk1_3(xS,xx,xS)))|aSubsetOf0(sdtmndt0(xS,xx),xS)),inference(csr,[status(thm)],[29698,26028])).
% cnf(29718,plain,(xS=sdtmndt0(xS,esk1_3(xS,xx,xS))|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aSubsetOf0(xS,xS)|~aElement0(esk1_3(xS,xx,xS))),inference(spm,[status(thm)],[8853,29699,theory(equality)])).
% cnf(29774,plain,(xS=sdtmndt0(xS,esk1_3(xS,xx,xS))|aSubsetOf0(sdtmndt0(xS,xx),xS)|$false|~aElement0(esk1_3(xS,xx,xS))),inference(rw,[status(thm)],[29718,648,theory(equality)])).
% cnf(29775,plain,(xS=sdtmndt0(xS,esk1_3(xS,xx,xS))|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aElement0(esk1_3(xS,xx,xS))),inference(cn,[status(thm)],[29774,theory(equality)])).
% cnf(30202,plain,(sdtmndt0(xS,xx)=xS|aSubsetOf0(sdtmndt0(xS,xx),xS)|~aElement0(xx)),inference(spm,[status(thm)],[29775,160,theory(equality)])).
% cnf(30480,plain,(sdtmndt0(xS,xx)=xS|aSubsetOf0(sdtmndt0(xS,xx),xS)|$false),inference(rw,[status(thm)],[30202,81,theory(equality)])).
% cnf(30481,plain,(sdtmndt0(xS,xx)=xS|aSubsetOf0(sdtmndt0(xS,xx),xS)),inference(cn,[status(thm)],[30480,theory(equality)])).
% cnf(30482,plain,(aSubsetOf0(sdtmndt0(xS,xx),xS)),inference(csr,[status(thm)],[30481,26028])).
% cnf(30486,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtmndt0(xS,xx))|~aSet0(xS)),inference(spm,[status(thm)],[63,30482,theory(equality)])).
% cnf(30544,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtmndt0(xS,xx))|$false),inference(rw,[status(thm)],[30486,48,theory(equality)])).
% cnf(30545,plain,(aElementOf0(X1,xS)|~aElementOf0(X1,sdtmndt0(xS,xx))),inference(cn,[status(thm)],[30544,theory(equality)])).
% cnf(31157,plain,(aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|~aElement0(xx)|~aSet0(xS)),inference(spm,[status(thm)],[30545,528,theory(equality)])).
% cnf(31237,plain,(aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|~aSet0(xS)),inference(rw,[status(thm)],[31157,81,theory(equality)])).
% cnf(31238,plain,(aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|$false),inference(rw,[status(thm)],[31237,48,theory(equality)])).
% cnf(31239,plain,(aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS),inference(cn,[status(thm)],[31238,theory(equality)])).
% cnf(32384,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|~aElement0(xx)|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))),inference(spm,[status(thm)],[76,31239,theory(equality)])).
% cnf(32404,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|$false|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[32384,81,theory(equality)])).
% cnf(32405,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|$false|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))|$false|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[32404,48,theory(equality)])).
% cnf(32406,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|$false|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))|$false|$false),inference(rw,[status(thm)],[32405,26950,theory(equality)])).
% cnf(32407,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),sdtmndt0(xS,xx))),inference(cn,[status(thm)],[32406,theory(equality)])).
% cnf(63664,plain,(esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|~aElement0(xx)|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|~aSet0(xS)),inference(spm,[status(thm)],[32407,95,theory(equality)])).
% cnf(63771,plain,(esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|~aSet0(xS)),inference(rw,[status(thm)],[63664,81,theory(equality)])).
% cnf(63772,plain,(esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)|$false),inference(rw,[status(thm)],[63771,48,theory(equality)])).
% cnf(63773,plain,(esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS|~aElementOf0(esk2_3(sdtmndt0(xS,xx),xx,xS),xS)),inference(cn,[status(thm)],[63772,theory(equality)])).
% cnf(63780,plain,(esk2_3(sdtmndt0(xS,xx),xx,xS)=xx|sdtpldt0(sdtmndt0(xS,xx),xx)=xS),inference(csr,[status(thm)],[63773,31239])).
% cnf(63782,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|~aElement0(xx)|~aElementOf0(xx,xS)|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))),inference(spm,[status(thm)],[75,63780,theory(equality)])).
% cnf(63803,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|~aElementOf0(xx,xS)|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[63782,81,theory(equality)])).
% cnf(63804,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|$false|~aSet0(xS)|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[63803,47,theory(equality)])).
% cnf(63805,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|$false|$false|~aSet0(sdtmndt0(xS,xx))),inference(rw,[status(thm)],[63804,48,theory(equality)])).
% cnf(63806,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS|$false|$false|$false|$false),inference(rw,[status(thm)],[63805,26950,theory(equality)])).
% cnf(63807,plain,(sdtpldt0(sdtmndt0(xS,xx),xx)=xS),inference(cn,[status(thm)],[63806,theory(equality)])).
% cnf(64082,negated_conjecture,($false|~aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))),inference(rw,[status(thm)],[26091,63807,theory(equality)])).
% cnf(64083,negated_conjecture,($false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[64082,63807,theory(equality)]),648,theory(equality)])).
% cnf(64084,negated_conjecture,($false),inference(cn,[status(thm)],[64083,theory(equality)])).
% cnf(64085,negated_conjecture,($false),64084,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 4075
% # ...of these trivial : 89
% # ...subsumed : 2878
% # ...remaining for further processing: 1108
% # Other redundant clauses eliminated : 22
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 96
% # Backward-rewritten : 45
% # Generated clauses : 33712
% # ...of the previous two non-trivial : 29062
% # Contextual simplify-reflections : 5266
% # Paramodulations : 33644
% # Factorizations : 0
% # Equation resolutions : 62
% # Current number of processed clauses: 930
% # Positive orientable unit clauses: 10
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 917
% # Current number of unprocessed clauses: 21874
% # ...number of literals in the above : 203536
% # Clause-clause subsumption calls (NU) : 95910
% # Rec. Clause-clause subsumption calls : 29354
% # Unit Clause-clause subsumption calls : 136
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 6
% # Backwards rewriting index: 371 leaves, 3.60+/-4.956 terms/leaf
% # Paramod-from index: 134 leaves, 1.96+/-2.224 terms/leaf
% # Paramod-into index: 229 leaves, 3.08+/-3.638 terms/leaf
% # -------------------------------------------------
% # User time : 2.375 s
% # System time : 0.082 s
% # Total time : 2.457 s
% # Maximum resident set size: 0 pages
% PrfWatch: 3.63 CPU 4.34 WC
% FINAL PrfWatch: 3.63 CPU 4.34 WC
% SZS output end Solution for /tmp/SystemOnTPTP18741/NUM535+1.tptp
%
%------------------------------------------------------------------------------