TSTP Solution File: RNG093+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : RNG093+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 : art06.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 22:30:47 EST 2010
% Result : Theorem 3.47s
% Output : Solution 3.47s
% 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/SystemOnTPTP32342/RNG093+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP32342/RNG093+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP32342/RNG093+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 32438
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.91 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(5, axiom,(((((aSet0(xI)&![X1]:(aElementOf0(X1,xI)=>(![X2]:(aElementOf0(X2,xI)=>aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&aSet0(xJ))&![X1]:(aElementOf0(X1,xJ)=>(![X2]:(aElementOf0(X2,xJ)=>aElementOf0(sdtpldt0(X1,X2),xJ))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),xJ)))))&aIdeal0(xJ)),file('/tmp/SRASS.s.p', m__1150)).
% fof(6, axiom,![X1]:![X2]:((aSet0(X1)&aSet0(X2))=>![X3]:(X3=sdtasasdt0(X1,X2)<=>(aSet0(X3)&![X4]:(aElementOf0(X4,X3)<=>(aElementOf0(X4,X1)&aElementOf0(X4,X2)))))),file('/tmp/SRASS.s.p', mDefSInt)).
% fof(27, conjecture,((aSet0(sdtasasdt0(xI,xJ))&![X1]:(aElementOf0(X1,sdtasasdt0(xI,xJ))<=>(aElementOf0(X1,xI)&aElementOf0(X1,xJ))))=>(![X1]:(aElementOf0(X1,sdtasasdt0(xI,xJ))=>(![X2]:(aElementOf0(X2,sdtasasdt0(xI,xJ))=>aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)))))|aIdeal0(sdtasasdt0(xI,xJ)))),file('/tmp/SRASS.s.p', m__)).
% fof(28, negated_conjecture,~(((aSet0(sdtasasdt0(xI,xJ))&![X1]:(aElementOf0(X1,sdtasasdt0(xI,xJ))<=>(aElementOf0(X1,xI)&aElementOf0(X1,xJ))))=>(![X1]:(aElementOf0(X1,sdtasasdt0(xI,xJ))=>(![X2]:(aElementOf0(X2,sdtasasdt0(xI,xJ))=>aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ)))&![X2]:(aElement0(X2)=>aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ)))))|aIdeal0(sdtasasdt0(xI,xJ))))),inference(assume_negation,[status(cth)],[27])).
% fof(54, plain,(((((aSet0(xI)&![X1]:(~(aElementOf0(X1,xI))|(![X2]:(~(aElementOf0(X2,xI))|aElementOf0(sdtpldt0(X1,X2),xI))&![X2]:(~(aElement0(X2))|aElementOf0(sdtasdt0(X2,X1),xI)))))&aIdeal0(xI))&aSet0(xJ))&![X1]:(~(aElementOf0(X1,xJ))|(![X2]:(~(aElementOf0(X2,xJ))|aElementOf0(sdtpldt0(X1,X2),xJ))&![X2]:(~(aElement0(X2))|aElementOf0(sdtasdt0(X2,X1),xJ)))))&aIdeal0(xJ)),inference(fof_nnf,[status(thm)],[5])).
% fof(55, plain,(((((aSet0(xI)&![X3]:(~(aElementOf0(X3,xI))|(![X4]:(~(aElementOf0(X4,xI))|aElementOf0(sdtpldt0(X3,X4),xI))&![X5]:(~(aElement0(X5))|aElementOf0(sdtasdt0(X5,X3),xI)))))&aIdeal0(xI))&aSet0(xJ))&![X6]:(~(aElementOf0(X6,xJ))|(![X7]:(~(aElementOf0(X7,xJ))|aElementOf0(sdtpldt0(X6,X7),xJ))&![X8]:(~(aElement0(X8))|aElementOf0(sdtasdt0(X8,X6),xJ)))))&aIdeal0(xJ)),inference(variable_rename,[status(thm)],[54])).
% fof(56, plain,![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:(((((~(aElement0(X8))|aElementOf0(sdtasdt0(X8,X6),xJ))&(~(aElementOf0(X7,xJ))|aElementOf0(sdtpldt0(X6,X7),xJ)))|~(aElementOf0(X6,xJ)))&((((((~(aElement0(X5))|aElementOf0(sdtasdt0(X5,X3),xI))&(~(aElementOf0(X4,xI))|aElementOf0(sdtpldt0(X3,X4),xI)))|~(aElementOf0(X3,xI)))&aSet0(xI))&aIdeal0(xI))&aSet0(xJ)))&aIdeal0(xJ)),inference(shift_quantors,[status(thm)],[55])).
% fof(57, plain,![X3]:![X4]:![X5]:![X6]:![X7]:![X8]:(((((~(aElement0(X8))|aElementOf0(sdtasdt0(X8,X6),xJ))|~(aElementOf0(X6,xJ)))&((~(aElementOf0(X7,xJ))|aElementOf0(sdtpldt0(X6,X7),xJ))|~(aElementOf0(X6,xJ))))&((((((~(aElement0(X5))|aElementOf0(sdtasdt0(X5,X3),xI))|~(aElementOf0(X3,xI)))&((~(aElementOf0(X4,xI))|aElementOf0(sdtpldt0(X3,X4),xI))|~(aElementOf0(X3,xI))))&aSet0(xI))&aIdeal0(xI))&aSet0(xJ)))&aIdeal0(xJ)),inference(distribute,[status(thm)],[56])).
% cnf(59,plain,(aSet0(xJ)),inference(split_conjunct,[status(thm)],[57])).
% cnf(61,plain,(aSet0(xI)),inference(split_conjunct,[status(thm)],[57])).
% cnf(62,plain,(aElementOf0(sdtpldt0(X1,X2),xI)|~aElementOf0(X1,xI)|~aElementOf0(X2,xI)),inference(split_conjunct,[status(thm)],[57])).
% cnf(63,plain,(aElementOf0(sdtasdt0(X2,X1),xI)|~aElementOf0(X1,xI)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[57])).
% cnf(64,plain,(aElementOf0(sdtpldt0(X1,X2),xJ)|~aElementOf0(X1,xJ)|~aElementOf0(X2,xJ)),inference(split_conjunct,[status(thm)],[57])).
% cnf(65,plain,(aElementOf0(sdtasdt0(X2,X1),xJ)|~aElementOf0(X1,xJ)|~aElement0(X2)),inference(split_conjunct,[status(thm)],[57])).
% fof(66, plain,![X1]:![X2]:((~(aSet0(X1))|~(aSet0(X2)))|![X3]:((~(X3=sdtasasdt0(X1,X2))|(aSet0(X3)&![X4]:((~(aElementOf0(X4,X3))|(aElementOf0(X4,X1)&aElementOf0(X4,X2)))&((~(aElementOf0(X4,X1))|~(aElementOf0(X4,X2)))|aElementOf0(X4,X3)))))&((~(aSet0(X3))|?[X4]:((~(aElementOf0(X4,X3))|(~(aElementOf0(X4,X1))|~(aElementOf0(X4,X2))))&(aElementOf0(X4,X3)|(aElementOf0(X4,X1)&aElementOf0(X4,X2)))))|X3=sdtasasdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[6])).
% fof(67, plain,![X5]:![X6]:((~(aSet0(X5))|~(aSet0(X6)))|![X7]:((~(X7=sdtasasdt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|(aElementOf0(X8,X5)&aElementOf0(X8,X6)))&((~(aElementOf0(X8,X5))|~(aElementOf0(X8,X6)))|aElementOf0(X8,X7)))))&((~(aSet0(X7))|?[X9]:((~(aElementOf0(X9,X7))|(~(aElementOf0(X9,X5))|~(aElementOf0(X9,X6))))&(aElementOf0(X9,X7)|(aElementOf0(X9,X5)&aElementOf0(X9,X6)))))|X7=sdtasasdt0(X5,X6)))),inference(variable_rename,[status(thm)],[66])).
% fof(68, plain,![X5]:![X6]:((~(aSet0(X5))|~(aSet0(X6)))|![X7]:((~(X7=sdtasasdt0(X5,X6))|(aSet0(X7)&![X8]:((~(aElementOf0(X8,X7))|(aElementOf0(X8,X5)&aElementOf0(X8,X6)))&((~(aElementOf0(X8,X5))|~(aElementOf0(X8,X6)))|aElementOf0(X8,X7)))))&((~(aSet0(X7))|((~(aElementOf0(esk4_3(X5,X6,X7),X7))|(~(aElementOf0(esk4_3(X5,X6,X7),X5))|~(aElementOf0(esk4_3(X5,X6,X7),X6))))&(aElementOf0(esk4_3(X5,X6,X7),X7)|(aElementOf0(esk4_3(X5,X6,X7),X5)&aElementOf0(esk4_3(X5,X6,X7),X6)))))|X7=sdtasasdt0(X5,X6)))),inference(skolemize,[status(esa)],[67])).
% fof(69, plain,![X5]:![X6]:![X7]:![X8]:((((((~(aElementOf0(X8,X7))|(aElementOf0(X8,X5)&aElementOf0(X8,X6)))&((~(aElementOf0(X8,X5))|~(aElementOf0(X8,X6)))|aElementOf0(X8,X7)))&aSet0(X7))|~(X7=sdtasasdt0(X5,X6)))&((~(aSet0(X7))|((~(aElementOf0(esk4_3(X5,X6,X7),X7))|(~(aElementOf0(esk4_3(X5,X6,X7),X5))|~(aElementOf0(esk4_3(X5,X6,X7),X6))))&(aElementOf0(esk4_3(X5,X6,X7),X7)|(aElementOf0(esk4_3(X5,X6,X7),X5)&aElementOf0(esk4_3(X5,X6,X7),X6)))))|X7=sdtasasdt0(X5,X6)))|(~(aSet0(X5))|~(aSet0(X6)))),inference(shift_quantors,[status(thm)],[68])).
% fof(70, plain,![X5]:![X6]:![X7]:![X8]:(((((((aElementOf0(X8,X5)|~(aElementOf0(X8,X7)))|~(X7=sdtasasdt0(X5,X6)))|(~(aSet0(X5))|~(aSet0(X6))))&(((aElementOf0(X8,X6)|~(aElementOf0(X8,X7)))|~(X7=sdtasasdt0(X5,X6)))|(~(aSet0(X5))|~(aSet0(X6)))))&((((~(aElementOf0(X8,X5))|~(aElementOf0(X8,X6)))|aElementOf0(X8,X7))|~(X7=sdtasasdt0(X5,X6)))|(~(aSet0(X5))|~(aSet0(X6)))))&((aSet0(X7)|~(X7=sdtasasdt0(X5,X6)))|(~(aSet0(X5))|~(aSet0(X6)))))&(((((~(aElementOf0(esk4_3(X5,X6,X7),X7))|(~(aElementOf0(esk4_3(X5,X6,X7),X5))|~(aElementOf0(esk4_3(X5,X6,X7),X6))))|~(aSet0(X7)))|X7=sdtasasdt0(X5,X6))|(~(aSet0(X5))|~(aSet0(X6))))&(((((aElementOf0(esk4_3(X5,X6,X7),X5)|aElementOf0(esk4_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtasasdt0(X5,X6))|(~(aSet0(X5))|~(aSet0(X6))))&((((aElementOf0(esk4_3(X5,X6,X7),X6)|aElementOf0(esk4_3(X5,X6,X7),X7))|~(aSet0(X7)))|X7=sdtasasdt0(X5,X6))|(~(aSet0(X5))|~(aSet0(X6))))))),inference(distribute,[status(thm)],[69])).
% cnf(75,plain,(aElementOf0(X4,X3)|~aSet0(X1)|~aSet0(X2)|X3!=sdtasasdt0(X2,X1)|~aElementOf0(X4,X1)|~aElementOf0(X4,X2)),inference(split_conjunct,[status(thm)],[70])).
% cnf(76,plain,(aElementOf0(X4,X1)|~aSet0(X1)|~aSet0(X2)|X3!=sdtasasdt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[70])).
% cnf(77,plain,(aElementOf0(X4,X2)|~aSet0(X1)|~aSet0(X2)|X3!=sdtasasdt0(X2,X1)|~aElementOf0(X4,X3)),inference(split_conjunct,[status(thm)],[70])).
% fof(158, negated_conjecture,((aSet0(sdtasasdt0(xI,xJ))&![X1]:((~(aElementOf0(X1,sdtasasdt0(xI,xJ)))|(aElementOf0(X1,xI)&aElementOf0(X1,xJ)))&((~(aElementOf0(X1,xI))|~(aElementOf0(X1,xJ)))|aElementOf0(X1,sdtasasdt0(xI,xJ)))))&(?[X1]:(aElementOf0(X1,sdtasasdt0(xI,xJ))&(?[X2]:(aElementOf0(X2,sdtasasdt0(xI,xJ))&~(aElementOf0(sdtpldt0(X1,X2),sdtasasdt0(xI,xJ))))|?[X2]:(aElement0(X2)&~(aElementOf0(sdtasdt0(X2,X1),sdtasasdt0(xI,xJ))))))&~(aIdeal0(sdtasasdt0(xI,xJ))))),inference(fof_nnf,[status(thm)],[28])).
% fof(159, negated_conjecture,((aSet0(sdtasasdt0(xI,xJ))&![X3]:((~(aElementOf0(X3,sdtasasdt0(xI,xJ)))|(aElementOf0(X3,xI)&aElementOf0(X3,xJ)))&((~(aElementOf0(X3,xI))|~(aElementOf0(X3,xJ)))|aElementOf0(X3,sdtasasdt0(xI,xJ)))))&(?[X4]:(aElementOf0(X4,sdtasasdt0(xI,xJ))&(?[X5]:(aElementOf0(X5,sdtasasdt0(xI,xJ))&~(aElementOf0(sdtpldt0(X4,X5),sdtasasdt0(xI,xJ))))|?[X6]:(aElement0(X6)&~(aElementOf0(sdtasdt0(X6,X4),sdtasasdt0(xI,xJ))))))&~(aIdeal0(sdtasasdt0(xI,xJ))))),inference(variable_rename,[status(thm)],[158])).
% fof(160, negated_conjecture,((aSet0(sdtasasdt0(xI,xJ))&![X3]:((~(aElementOf0(X3,sdtasasdt0(xI,xJ)))|(aElementOf0(X3,xI)&aElementOf0(X3,xJ)))&((~(aElementOf0(X3,xI))|~(aElementOf0(X3,xJ)))|aElementOf0(X3,sdtasasdt0(xI,xJ)))))&((aElementOf0(esk12_0,sdtasasdt0(xI,xJ))&((aElementOf0(esk13_0,sdtasasdt0(xI,xJ))&~(aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))))|(aElement0(esk14_0)&~(aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))))))&~(aIdeal0(sdtasasdt0(xI,xJ))))),inference(skolemize,[status(esa)],[159])).
% fof(161, negated_conjecture,![X3]:((((~(aElementOf0(X3,sdtasasdt0(xI,xJ)))|(aElementOf0(X3,xI)&aElementOf0(X3,xJ)))&((~(aElementOf0(X3,xI))|~(aElementOf0(X3,xJ)))|aElementOf0(X3,sdtasasdt0(xI,xJ))))&aSet0(sdtasasdt0(xI,xJ)))&((aElementOf0(esk12_0,sdtasasdt0(xI,xJ))&((aElementOf0(esk13_0,sdtasasdt0(xI,xJ))&~(aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))))|(aElement0(esk14_0)&~(aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))))))&~(aIdeal0(sdtasasdt0(xI,xJ))))),inference(shift_quantors,[status(thm)],[160])).
% fof(162, negated_conjecture,![X3]:(((((aElementOf0(X3,xI)|~(aElementOf0(X3,sdtasasdt0(xI,xJ))))&(aElementOf0(X3,xJ)|~(aElementOf0(X3,sdtasasdt0(xI,xJ)))))&((~(aElementOf0(X3,xI))|~(aElementOf0(X3,xJ)))|aElementOf0(X3,sdtasasdt0(xI,xJ))))&aSet0(sdtasasdt0(xI,xJ)))&((aElementOf0(esk12_0,sdtasasdt0(xI,xJ))&(((aElement0(esk14_0)|aElementOf0(esk13_0,sdtasasdt0(xI,xJ)))&(~(aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)))|aElementOf0(esk13_0,sdtasasdt0(xI,xJ))))&((aElement0(esk14_0)|~(aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))))&(~(aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ)))|~(aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ)))))))&~(aIdeal0(sdtasasdt0(xI,xJ))))),inference(distribute,[status(thm)],[161])).
% cnf(164,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))|~aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(165,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(166,negated_conjecture,(aElementOf0(esk13_0,sdtasasdt0(xI,xJ))|~aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(167,negated_conjecture,(aElementOf0(esk13_0,sdtasasdt0(xI,xJ))|aElement0(esk14_0)),inference(split_conjunct,[status(thm)],[162])).
% cnf(168,negated_conjecture,(aElementOf0(esk12_0,sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(170,negated_conjecture,(aElementOf0(X1,sdtasasdt0(xI,xJ))|~aElementOf0(X1,xJ)|~aElementOf0(X1,xI)),inference(split_conjunct,[status(thm)],[162])).
% cnf(171,negated_conjecture,(aElementOf0(X1,xJ)|~aElementOf0(X1,sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(172,negated_conjecture,(aElementOf0(X1,xI)|~aElementOf0(X1,sdtasasdt0(xI,xJ))),inference(split_conjunct,[status(thm)],[162])).
% cnf(180,negated_conjecture,(aElementOf0(esk12_0,xI)),inference(spm,[status(thm)],[172,168,theory(equality)])).
% cnf(181,negated_conjecture,(aElementOf0(esk12_0,xJ)),inference(spm,[status(thm)],[171,168,theory(equality)])).
% cnf(244,negated_conjecture,(aElementOf0(esk13_0,xI)|aElement0(esk14_0)),inference(spm,[status(thm)],[172,167,theory(equality)])).
% cnf(245,negated_conjecture,(aElementOf0(esk13_0,xJ)|aElement0(esk14_0)),inference(spm,[status(thm)],[171,167,theory(equality)])).
% cnf(323,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)),inference(spm,[status(thm)],[165,170,theory(equality)])).
% cnf(332,plain,(aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X2,X3))|~aSet0(X2)|~aSet0(X3)),inference(er,[status(thm)],[77,theory(equality)])).
% cnf(341,plain,(aElementOf0(X1,X2)|~aElementOf0(X1,sdtasasdt0(X3,X2))|~aSet0(X3)|~aSet0(X2)),inference(er,[status(thm)],[76,theory(equality)])).
% cnf(342,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),sdtasasdt0(xI,xJ))|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)),inference(spm,[status(thm)],[164,170,theory(equality)])).
% cnf(348,negated_conjecture,(aElementOf0(esk13_0,sdtasasdt0(xI,xJ))|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(spm,[status(thm)],[166,170,theory(equality)])).
% cnf(349,plain,(aElementOf0(X1,sdtasasdt0(X2,X3))|~aElementOf0(X1,X2)|~aElementOf0(X1,X3)|~aSet0(X2)|~aSet0(X3)),inference(er,[status(thm)],[75,theory(equality)])).
% cnf(879,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(esk13_0,xJ)|~aElementOf0(esk12_0,xJ)),inference(spm,[status(thm)],[323,64,theory(equality)])).
% cnf(880,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(esk13_0,xJ)|$false),inference(rw,[status(thm)],[879,181,theory(equality)])).
% cnf(881,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(esk13_0,xJ)),inference(cn,[status(thm)],[880,theory(equality)])).
% cnf(882,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)),inference(csr,[status(thm)],[881,245])).
% cnf(883,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(esk13_0,xI)|~aElementOf0(esk12_0,xI)),inference(spm,[status(thm)],[882,62,theory(equality)])).
% cnf(884,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(esk13_0,xI)|$false),inference(rw,[status(thm)],[883,180,theory(equality)])).
% cnf(885,negated_conjecture,(aElement0(esk14_0)|~aElementOf0(esk13_0,xI)),inference(cn,[status(thm)],[884,theory(equality)])).
% cnf(886,negated_conjecture,(aElement0(esk14_0)),inference(csr,[status(thm)],[885,244])).
% cnf(1727,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|~aSet0(xI)|~aSet0(xJ)),inference(spm,[status(thm)],[342,349,theory(equality)])).
% cnf(1735,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|~aSet0(xJ)),inference(rw,[status(thm)],[1727,61,theory(equality)])).
% cnf(1736,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|$false),inference(rw,[status(thm)],[1735,59,theory(equality)])).
% cnf(1737,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtpldt0(esk12_0,esk13_0),xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(cn,[status(thm)],[1736,theory(equality)])).
% cnf(1944,negated_conjecture,(aElementOf0(esk13_0,xI)|~aSet0(xI)|~aSet0(xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(spm,[status(thm)],[332,348,theory(equality)])).
% cnf(1945,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aSet0(xI)|~aSet0(xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(spm,[status(thm)],[341,348,theory(equality)])).
% cnf(1950,negated_conjecture,(aElementOf0(esk13_0,xI)|$false|~aSet0(xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(rw,[status(thm)],[1944,61,theory(equality)])).
% cnf(1951,negated_conjecture,(aElementOf0(esk13_0,xI)|$false|$false|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(rw,[status(thm)],[1950,59,theory(equality)])).
% cnf(1952,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(cn,[status(thm)],[1951,theory(equality)])).
% cnf(1953,negated_conjecture,(aElementOf0(esk13_0,xJ)|$false|~aSet0(xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(rw,[status(thm)],[1945,61,theory(equality)])).
% cnf(1954,negated_conjecture,(aElementOf0(esk13_0,xJ)|$false|$false|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(rw,[status(thm)],[1953,59,theory(equality)])).
% cnf(1955,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(cn,[status(thm)],[1954,theory(equality)])).
% cnf(2014,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(esk12_0,xJ)|~aElement0(esk14_0)),inference(spm,[status(thm)],[1952,65,theory(equality)])).
% cnf(2023,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|~aElement0(esk14_0)),inference(rw,[status(thm)],[2014,181,theory(equality)])).
% cnf(2024,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|$false),inference(rw,[status(thm)],[2023,886,theory(equality)])).
% cnf(2025,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)),inference(cn,[status(thm)],[2024,theory(equality)])).
% cnf(2034,negated_conjecture,(aElementOf0(esk13_0,xI)|~aElementOf0(esk12_0,xI)|~aElement0(esk14_0)),inference(spm,[status(thm)],[2025,63,theory(equality)])).
% cnf(2043,negated_conjecture,(aElementOf0(esk13_0,xI)|$false|~aElement0(esk14_0)),inference(rw,[status(thm)],[2034,180,theory(equality)])).
% cnf(2044,negated_conjecture,(aElementOf0(esk13_0,xI)|$false|$false),inference(rw,[status(thm)],[2043,886,theory(equality)])).
% cnf(2045,negated_conjecture,(aElementOf0(esk13_0,xI)),inference(cn,[status(thm)],[2044,theory(equality)])).
% cnf(2059,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(esk12_0,xJ)|~aElement0(esk14_0)),inference(spm,[status(thm)],[1955,65,theory(equality)])).
% cnf(2068,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|~aElement0(esk14_0)),inference(rw,[status(thm)],[2059,181,theory(equality)])).
% cnf(2069,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|$false),inference(rw,[status(thm)],[2068,886,theory(equality)])).
% cnf(2070,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)),inference(cn,[status(thm)],[2069,theory(equality)])).
% cnf(2079,negated_conjecture,(aElementOf0(esk13_0,xJ)|~aElementOf0(esk12_0,xI)|~aElement0(esk14_0)),inference(spm,[status(thm)],[2070,63,theory(equality)])).
% cnf(2088,negated_conjecture,(aElementOf0(esk13_0,xJ)|$false|~aElement0(esk14_0)),inference(rw,[status(thm)],[2079,180,theory(equality)])).
% cnf(2089,negated_conjecture,(aElementOf0(esk13_0,xJ)|$false|$false),inference(rw,[status(thm)],[2088,886,theory(equality)])).
% cnf(2090,negated_conjecture,(aElementOf0(esk13_0,xJ)),inference(cn,[status(thm)],[2089,theory(equality)])).
% cnf(83915,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|~aElementOf0(esk13_0,xJ)|~aElementOf0(esk12_0,xJ)),inference(spm,[status(thm)],[1737,64,theory(equality)])).
% cnf(83919,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|~aElementOf0(esk12_0,xJ)),inference(rw,[status(thm)],[83915,2090,theory(equality)])).
% cnf(83920,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|$false),inference(rw,[status(thm)],[83919,181,theory(equality)])).
% cnf(83921,negated_conjecture,(~aElementOf0(sdtpldt0(esk12_0,esk13_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(cn,[status(thm)],[83920,theory(equality)])).
% cnf(83931,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|~aElementOf0(esk13_0,xI)|~aElementOf0(esk12_0,xI)),inference(spm,[status(thm)],[83921,62,theory(equality)])).
% cnf(83935,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|~aElementOf0(esk12_0,xI)),inference(rw,[status(thm)],[83931,2045,theory(equality)])).
% cnf(83936,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)|$false|$false),inference(rw,[status(thm)],[83935,180,theory(equality)])).
% cnf(83937,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(sdtasdt0(esk14_0,esk12_0),xJ)),inference(cn,[status(thm)],[83936,theory(equality)])).
% cnf(83949,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|~aElementOf0(esk12_0,xJ)|~aElement0(esk14_0)),inference(spm,[status(thm)],[83937,65,theory(equality)])).
% cnf(83963,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|~aElement0(esk14_0)),inference(rw,[status(thm)],[83949,181,theory(equality)])).
% cnf(83964,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)|$false|$false),inference(rw,[status(thm)],[83963,886,theory(equality)])).
% cnf(83965,negated_conjecture,(~aElementOf0(sdtasdt0(esk14_0,esk12_0),xI)),inference(cn,[status(thm)],[83964,theory(equality)])).
% cnf(83989,negated_conjecture,(~aElementOf0(esk12_0,xI)|~aElement0(esk14_0)),inference(spm,[status(thm)],[83965,63,theory(equality)])).
% cnf(84003,negated_conjecture,($false|~aElement0(esk14_0)),inference(rw,[status(thm)],[83989,180,theory(equality)])).
% cnf(84004,negated_conjecture,($false|$false),inference(rw,[status(thm)],[84003,886,theory(equality)])).
% cnf(84005,negated_conjecture,($false),inference(cn,[status(thm)],[84004,theory(equality)])).
% cnf(84006,negated_conjecture,($false),84005,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2733
% # ...of these trivial : 28
% # ...subsumed : 2114
% # ...remaining for further processing: 591
% # Other redundant clauses eliminated : 9
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 13
% # Backward-rewritten : 17
% # Generated clauses : 43887
% # ...of the previous two non-trivial : 41219
% # Contextual simplify-reflections : 712
% # Paramodulations : 43859
% # Factorizations : 0
% # Equation resolutions : 28
% # Current number of processed clauses: 561
% # Positive orientable unit clauses: 29
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 3
% # Non-unit-clauses : 529
% # Current number of unprocessed clauses: 38491
% # ...number of literals in the above : 210668
% # Clause-clause subsumption calls (NU) : 41016
% # Rec. Clause-clause subsumption calls : 26565
% # Unit Clause-clause subsumption calls : 43
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 11
% # Indexed BW rewrite successes : 11
% # Backwards rewriting index: 398 leaves, 1.91+/-2.195 terms/leaf
% # Paramod-from index: 212 leaves, 1.44+/-1.350 terms/leaf
% # Paramod-into index: 319 leaves, 1.66+/-1.565 terms/leaf
% # -------------------------------------------------
% # User time : 1.423 s
% # System time : 0.065 s
% # Total time : 1.488 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.63 CPU 2.95 WC
% FINAL PrfWatch: 2.63 CPU 2.95 WC
% SZS output end Solution for /tmp/SystemOnTPTP32342/RNG093+2.tptp
%
%------------------------------------------------------------------------------