TSTP Solution File: SEU284+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU284+1 : TPTP v5.0.0. Released v3.3.0.
% 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 : Thu Dec 30 02:59:38 EST 2010
% Result : Theorem 1.90s
% Output : Solution 1.90s
% 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/SystemOnTPTP20696/SEU284+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP20696/SEU284+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP20696/SEU284+1.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 20792
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:((![X2]:![X3]:![X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))=>X3=X4)&![X2]:~((in(X2,X1)&![X3]:~(X3=singleton(X2)))))=>?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))),file('/tmp/SRASS.s.p', s2_funct_1__e16_22__wellord2__1)).
% fof(27, conjecture,![X1]:?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3))),file('/tmp/SRASS.s.p', s3_funct_1__e16_22__wellord2)).
% fof(28, negated_conjecture,~(![X1]:?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(in(X3,X1)=>apply(X2,X3)=singleton(X3)))),inference(assume_negation,[status(cth)],[27])).
% fof(40, plain,![X1]:((?[X2]:?[X3]:?[X4]:(((in(X2,X1)&X3=singleton(X2))&X4=singleton(X2))&~(X3=X4))|?[X2]:(in(X2,X1)&![X3]:~(X3=singleton(X2))))|?[X2]:(((relation(X2)&function(X2))&relation_dom(X2)=X1)&![X3]:(~(in(X3,X1))|apply(X2,X3)=singleton(X3)))),inference(fof_nnf,[status(thm)],[3])).
% fof(41, plain,![X5]:((?[X6]:?[X7]:?[X8]:(((in(X6,X5)&X7=singleton(X6))&X8=singleton(X6))&~(X7=X8))|?[X9]:(in(X9,X5)&![X10]:~(X10=singleton(X9))))|?[X11]:(((relation(X11)&function(X11))&relation_dom(X11)=X5)&![X12]:(~(in(X12,X5))|apply(X11,X12)=singleton(X12)))),inference(variable_rename,[status(thm)],[40])).
% fof(42, plain,![X5]:(((((in(esk2_1(X5),X5)&esk3_1(X5)=singleton(esk2_1(X5)))&esk4_1(X5)=singleton(esk2_1(X5)))&~(esk3_1(X5)=esk4_1(X5)))|(in(esk5_1(X5),X5)&![X10]:~(X10=singleton(esk5_1(X5)))))|(((relation(esk6_1(X5))&function(esk6_1(X5)))&relation_dom(esk6_1(X5))=X5)&![X12]:(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12)))),inference(skolemize,[status(esa)],[41])).
% fof(43, plain,![X5]:![X10]:![X12]:(((~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))&((relation(esk6_1(X5))&function(esk6_1(X5)))&relation_dom(esk6_1(X5))=X5))|((~(X10=singleton(esk5_1(X5)))&in(esk5_1(X5),X5))|(((in(esk2_1(X5),X5)&esk3_1(X5)=singleton(esk2_1(X5)))&esk4_1(X5)=singleton(esk2_1(X5)))&~(esk3_1(X5)=esk4_1(X5))))),inference(shift_quantors,[status(thm)],[42])).
% fof(44, plain,![X5]:![X10]:![X12]:(((((((in(esk2_1(X5),X5)|~(X10=singleton(esk5_1(X5))))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12)))&((esk3_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))))&((esk4_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))))&((~(esk3_1(X5)=esk4_1(X5))|~(X10=singleton(esk5_1(X5))))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))))&(((((in(esk2_1(X5),X5)|in(esk5_1(X5),X5))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12)))&((esk3_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))))&((esk4_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12))))&((~(esk3_1(X5)=esk4_1(X5))|in(esk5_1(X5),X5))|(~(in(X12,X5))|apply(esk6_1(X5),X12)=singleton(X12)))))&((((((((in(esk2_1(X5),X5)|~(X10=singleton(esk5_1(X5))))|relation(esk6_1(X5)))&((esk3_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|relation(esk6_1(X5))))&((esk4_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|relation(esk6_1(X5))))&((~(esk3_1(X5)=esk4_1(X5))|~(X10=singleton(esk5_1(X5))))|relation(esk6_1(X5))))&(((((in(esk2_1(X5),X5)|in(esk5_1(X5),X5))|relation(esk6_1(X5)))&((esk3_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|relation(esk6_1(X5))))&((esk4_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|relation(esk6_1(X5))))&((~(esk3_1(X5)=esk4_1(X5))|in(esk5_1(X5),X5))|relation(esk6_1(X5)))))&((((((in(esk2_1(X5),X5)|~(X10=singleton(esk5_1(X5))))|function(esk6_1(X5)))&((esk3_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|function(esk6_1(X5))))&((esk4_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|function(esk6_1(X5))))&((~(esk3_1(X5)=esk4_1(X5))|~(X10=singleton(esk5_1(X5))))|function(esk6_1(X5))))&(((((in(esk2_1(X5),X5)|in(esk5_1(X5),X5))|function(esk6_1(X5)))&((esk3_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|function(esk6_1(X5))))&((esk4_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|function(esk6_1(X5))))&((~(esk3_1(X5)=esk4_1(X5))|in(esk5_1(X5),X5))|function(esk6_1(X5))))))&((((((in(esk2_1(X5),X5)|~(X10=singleton(esk5_1(X5))))|relation_dom(esk6_1(X5))=X5)&((esk3_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|relation_dom(esk6_1(X5))=X5))&((esk4_1(X5)=singleton(esk2_1(X5))|~(X10=singleton(esk5_1(X5))))|relation_dom(esk6_1(X5))=X5))&((~(esk3_1(X5)=esk4_1(X5))|~(X10=singleton(esk5_1(X5))))|relation_dom(esk6_1(X5))=X5))&(((((in(esk2_1(X5),X5)|in(esk5_1(X5),X5))|relation_dom(esk6_1(X5))=X5)&((esk3_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|relation_dom(esk6_1(X5))=X5))&((esk4_1(X5)=singleton(esk2_1(X5))|in(esk5_1(X5),X5))|relation_dom(esk6_1(X5))=X5))&((~(esk3_1(X5)=esk4_1(X5))|in(esk5_1(X5),X5))|relation_dom(esk6_1(X5))=X5))))),inference(distribute,[status(thm)],[43])).
% cnf(49,plain,(relation_dom(esk6_1(X1))=X1|X2!=singleton(esk5_1(X1))|esk3_1(X1)!=esk4_1(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(50,plain,(relation_dom(esk6_1(X1))=X1|esk4_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(51,plain,(relation_dom(esk6_1(X1))=X1|esk3_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(57,plain,(function(esk6_1(X1))|X2!=singleton(esk5_1(X1))|esk3_1(X1)!=esk4_1(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(58,plain,(function(esk6_1(X1))|esk4_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(59,plain,(function(esk6_1(X1))|esk3_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(65,plain,(relation(esk6_1(X1))|X2!=singleton(esk5_1(X1))|esk3_1(X1)!=esk4_1(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(66,plain,(relation(esk6_1(X1))|esk4_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(67,plain,(relation(esk6_1(X1))|esk3_1(X1)=singleton(esk2_1(X1))|X2!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(73,plain,(apply(esk6_1(X1),X2)=singleton(X2)|~in(X2,X1)|X3!=singleton(esk5_1(X1))|esk3_1(X1)!=esk4_1(X1)),inference(split_conjunct,[status(thm)],[44])).
% cnf(74,plain,(apply(esk6_1(X1),X2)=singleton(X2)|esk4_1(X1)=singleton(esk2_1(X1))|~in(X2,X1)|X3!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% cnf(75,plain,(apply(esk6_1(X1),X2)=singleton(X2)|esk3_1(X1)=singleton(esk2_1(X1))|~in(X2,X1)|X3!=singleton(esk5_1(X1))),inference(split_conjunct,[status(thm)],[44])).
% fof(138, negated_conjecture,?[X1]:![X2]:(((~(relation(X2))|~(function(X2)))|~(relation_dom(X2)=X1))|?[X3]:(in(X3,X1)&~(apply(X2,X3)=singleton(X3)))),inference(fof_nnf,[status(thm)],[28])).
% fof(139, negated_conjecture,?[X4]:![X5]:(((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=X4))|?[X6]:(in(X6,X4)&~(apply(X5,X6)=singleton(X6)))),inference(variable_rename,[status(thm)],[138])).
% fof(140, negated_conjecture,![X5]:(((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk13_0))|(in(esk14_1(X5),esk13_0)&~(apply(X5,esk14_1(X5))=singleton(esk14_1(X5))))),inference(skolemize,[status(esa)],[139])).
% fof(141, negated_conjecture,![X5]:((in(esk14_1(X5),esk13_0)|((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk13_0)))&(~(apply(X5,esk14_1(X5))=singleton(esk14_1(X5)))|((~(relation(X5))|~(function(X5)))|~(relation_dom(X5)=esk13_0)))),inference(distribute,[status(thm)],[140])).
% cnf(142,negated_conjecture,(relation_dom(X1)!=esk13_0|~function(X1)|~relation(X1)|apply(X1,esk14_1(X1))!=singleton(esk14_1(X1))),inference(split_conjunct,[status(thm)],[141])).
% cnf(143,negated_conjecture,(in(esk14_1(X1),esk13_0)|relation_dom(X1)!=esk13_0|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[141])).
% cnf(185,plain,(relation(esk6_1(X1))|esk4_1(X1)!=esk3_1(X1)),inference(er,[status(thm)],[65,theory(equality)])).
% cnf(192,plain,(function(esk6_1(X1))|esk4_1(X1)!=esk3_1(X1)),inference(er,[status(thm)],[57,theory(equality)])).
% cnf(199,plain,(relation_dom(esk6_1(X1))=X1|esk4_1(X1)!=esk3_1(X1)),inference(er,[status(thm)],[49,theory(equality)])).
% cnf(206,plain,(esk3_1(X1)=singleton(esk2_1(X1))|relation(esk6_1(X1))),inference(er,[status(thm)],[67,theory(equality)])).
% cnf(238,plain,(esk3_1(X1)=singleton(esk2_1(X1))|function(esk6_1(X1))),inference(er,[status(thm)],[59,theory(equality)])).
% cnf(245,plain,(esk4_1(X1)=singleton(esk2_1(X1))|relation(esk6_1(X1))),inference(er,[status(thm)],[66,theory(equality)])).
% cnf(252,plain,(esk4_1(X1)=singleton(esk2_1(X1))|function(esk6_1(X1))),inference(er,[status(thm)],[58,theory(equality)])).
% cnf(259,plain,(esk3_1(X1)=singleton(esk2_1(X1))|relation_dom(esk6_1(X1))=X1),inference(er,[status(thm)],[51,theory(equality)])).
% cnf(306,plain,(esk4_1(X1)=singleton(esk2_1(X1))|relation_dom(esk6_1(X1))=X1),inference(er,[status(thm)],[50,theory(equality)])).
% cnf(364,plain,(apply(esk6_1(X1),X2)=singleton(X2)|esk4_1(X1)!=esk3_1(X1)|~in(X2,X1)),inference(er,[status(thm)],[73,theory(equality)])).
% cnf(371,plain,(apply(esk6_1(X1),X2)=singleton(X2)|esk3_1(X1)=singleton(esk2_1(X1))|~in(X2,X1)),inference(er,[status(thm)],[75,theory(equality)])).
% cnf(378,plain,(apply(esk6_1(X1),X2)=singleton(X2)|esk4_1(X1)=singleton(esk2_1(X1))|~in(X2,X1)),inference(er,[status(thm)],[74,theory(equality)])).
% cnf(664,negated_conjecture,(in(esk14_1(esk6_1(X1)),esk13_0)|esk3_1(X1)=singleton(esk2_1(X1))|X1!=esk13_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[143,259,theory(equality)])).
% cnf(665,negated_conjecture,(esk3_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[142,259,theory(equality)])).
% cnf(763,negated_conjecture,(in(esk14_1(esk6_1(X1)),esk13_0)|esk4_1(X1)=singleton(esk2_1(X1))|X1!=esk13_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[143,306,theory(equality)])).
% cnf(764,negated_conjecture,(esk4_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0|~function(esk6_1(X1))|~relation(esk6_1(X1))),inference(spm,[status(thm)],[142,306,theory(equality)])).
% cnf(10036,negated_conjecture,(esk3_1(X1)=singleton(esk2_1(X1))|in(esk14_1(esk6_1(X1)),esk13_0)|X1!=esk13_0|~function(esk6_1(X1))),inference(csr,[status(thm)],[664,206])).
% cnf(10037,negated_conjecture,(esk3_1(X1)=singleton(esk2_1(X1))|in(esk14_1(esk6_1(X1)),esk13_0)|X1!=esk13_0),inference(csr,[status(thm)],[10036,238])).
% cnf(10038,negated_conjecture,(esk3_1(esk13_0)=singleton(esk2_1(esk13_0))|in(esk14_1(esk6_1(esk13_0)),esk13_0)),inference(er,[status(thm)],[10037,theory(equality)])).
% cnf(10045,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))=singleton(esk14_1(esk6_1(esk13_0)))|esk3_1(esk13_0)=singleton(esk2_1(esk13_0))),inference(spm,[status(thm)],[371,10038,theory(equality)])).
% cnf(10067,negated_conjecture,(esk3_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0|~function(esk6_1(X1))),inference(csr,[status(thm)],[665,206])).
% cnf(10068,negated_conjecture,(esk3_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0),inference(csr,[status(thm)],[10067,238])).
% cnf(10069,negated_conjecture,(esk3_1(esk13_0)=singleton(esk2_1(esk13_0))|apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))),inference(er,[status(thm)],[10068,theory(equality)])).
% cnf(18171,negated_conjecture,(esk4_1(X1)=singleton(esk2_1(X1))|in(esk14_1(esk6_1(X1)),esk13_0)|X1!=esk13_0|~function(esk6_1(X1))),inference(csr,[status(thm)],[763,245])).
% cnf(18172,negated_conjecture,(esk4_1(X1)=singleton(esk2_1(X1))|in(esk14_1(esk6_1(X1)),esk13_0)|X1!=esk13_0),inference(csr,[status(thm)],[18171,252])).
% cnf(18173,negated_conjecture,(esk4_1(esk13_0)=singleton(esk2_1(esk13_0))|in(esk14_1(esk6_1(esk13_0)),esk13_0)),inference(er,[status(thm)],[18172,theory(equality)])).
% cnf(18185,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))=singleton(esk14_1(esk6_1(esk13_0)))|esk4_1(esk13_0)=singleton(esk2_1(esk13_0))),inference(spm,[status(thm)],[378,18173,theory(equality)])).
% cnf(18206,negated_conjecture,(esk4_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0|~function(esk6_1(X1))),inference(csr,[status(thm)],[764,245])).
% cnf(18207,negated_conjecture,(esk4_1(X1)=singleton(esk2_1(X1))|apply(esk6_1(X1),esk14_1(esk6_1(X1)))!=singleton(esk14_1(esk6_1(X1)))|X1!=esk13_0),inference(csr,[status(thm)],[18206,252])).
% cnf(18208,negated_conjecture,(esk4_1(esk13_0)=singleton(esk2_1(esk13_0))|apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))),inference(er,[status(thm)],[18207,theory(equality)])).
% cnf(27034,negated_conjecture,(esk3_1(esk13_0)=singleton(esk2_1(esk13_0))),inference(csr,[status(thm)],[10069,10045])).
% cnf(27282,negated_conjecture,(esk4_1(esk13_0)=singleton(esk2_1(esk13_0))),inference(csr,[status(thm)],[18208,18185])).
% cnf(27283,negated_conjecture,(relation(esk6_1(esk13_0))|singleton(esk2_1(esk13_0))!=esk3_1(esk13_0)),inference(spm,[status(thm)],[185,27282,theory(equality)])).
% cnf(27284,negated_conjecture,(function(esk6_1(esk13_0))|singleton(esk2_1(esk13_0))!=esk3_1(esk13_0)),inference(spm,[status(thm)],[192,27282,theory(equality)])).
% cnf(27285,negated_conjecture,(relation_dom(esk6_1(esk13_0))=esk13_0|singleton(esk2_1(esk13_0))!=esk3_1(esk13_0)),inference(spm,[status(thm)],[199,27282,theory(equality)])).
% cnf(27286,negated_conjecture,(apply(esk6_1(esk13_0),X1)=singleton(X1)|singleton(esk2_1(esk13_0))!=esk3_1(esk13_0)|~in(X1,esk13_0)),inference(spm,[status(thm)],[364,27282,theory(equality)])).
% cnf(27299,negated_conjecture,(relation(esk6_1(esk13_0))|$false),inference(rw,[status(thm)],[27283,27034,theory(equality)])).
% cnf(27300,negated_conjecture,(relation(esk6_1(esk13_0))),inference(cn,[status(thm)],[27299,theory(equality)])).
% cnf(27301,negated_conjecture,(function(esk6_1(esk13_0))|$false),inference(rw,[status(thm)],[27284,27034,theory(equality)])).
% cnf(27302,negated_conjecture,(function(esk6_1(esk13_0))),inference(cn,[status(thm)],[27301,theory(equality)])).
% cnf(27303,negated_conjecture,(relation_dom(esk6_1(esk13_0))=esk13_0|$false),inference(rw,[status(thm)],[27285,27034,theory(equality)])).
% cnf(27304,negated_conjecture,(relation_dom(esk6_1(esk13_0))=esk13_0),inference(cn,[status(thm)],[27303,theory(equality)])).
% cnf(27305,negated_conjecture,(apply(esk6_1(esk13_0),X1)=singleton(X1)|$false|~in(X1,esk13_0)),inference(rw,[status(thm)],[27286,27034,theory(equality)])).
% cnf(27306,negated_conjecture,(apply(esk6_1(esk13_0),X1)=singleton(X1)|~in(X1,esk13_0)),inference(cn,[status(thm)],[27305,theory(equality)])).
% cnf(27314,negated_conjecture,(in(esk14_1(esk6_1(esk13_0)),esk13_0)|~function(esk6_1(esk13_0))|~relation(esk6_1(esk13_0))),inference(spm,[status(thm)],[143,27304,theory(equality)])).
% cnf(27316,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))|~function(esk6_1(esk13_0))|~relation(esk6_1(esk13_0))),inference(spm,[status(thm)],[142,27304,theory(equality)])).
% cnf(27440,negated_conjecture,(in(esk14_1(esk6_1(esk13_0)),esk13_0)|$false|~relation(esk6_1(esk13_0))),inference(rw,[status(thm)],[27314,27302,theory(equality)])).
% cnf(27441,negated_conjecture,(in(esk14_1(esk6_1(esk13_0)),esk13_0)|$false|$false),inference(rw,[status(thm)],[27440,27300,theory(equality)])).
% cnf(27442,negated_conjecture,(in(esk14_1(esk6_1(esk13_0)),esk13_0)),inference(cn,[status(thm)],[27441,theory(equality)])).
% cnf(27443,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))|$false|~relation(esk6_1(esk13_0))),inference(rw,[status(thm)],[27316,27302,theory(equality)])).
% cnf(27444,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))|$false|$false),inference(rw,[status(thm)],[27443,27300,theory(equality)])).
% cnf(27445,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))!=singleton(esk14_1(esk6_1(esk13_0)))),inference(cn,[status(thm)],[27444,theory(equality)])).
% cnf(27627,negated_conjecture,(apply(esk6_1(esk13_0),esk14_1(esk6_1(esk13_0)))=singleton(esk14_1(esk6_1(esk13_0)))),inference(spm,[status(thm)],[27306,27442,theory(equality)])).
% cnf(27886,negated_conjecture,($false),inference(rw,[status(thm)],[27445,27627,theory(equality)])).
% cnf(27887,negated_conjecture,($false),inference(cn,[status(thm)],[27886,theory(equality)])).
% cnf(27888,negated_conjecture,($false),27887,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1750
% # ...of these trivial : 12
% # ...subsumed : 1289
% # ...remaining for further processing: 449
% # Other redundant clauses eliminated : 38
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 45
% # Backward-rewritten : 27
% # Generated clauses : 22341
% # ...of the previous two non-trivial : 20842
% # Contextual simplify-reflections : 1540
% # Paramodulations : 22254
% # Factorizations : 0
% # Equation resolutions : 77
% # Current number of processed clauses: 312
% # Positive orientable unit clauses: 26
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 6
% # Non-unit-clauses : 280
% # Current number of unprocessed clauses: 18664
% # ...number of literals in the above : 96431
% # Clause-clause subsumption calls (NU) : 35319
% # Rec. Clause-clause subsumption calls : 25860
% # Unit Clause-clause subsumption calls : 69
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 6
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 141 leaves, 1.31+/-0.726 terms/leaf
% # Paramod-from index: 63 leaves, 1.35+/-0.839 terms/leaf
% # Paramod-into index: 101 leaves, 1.33+/-0.810 terms/leaf
% # -------------------------------------------------
% # User time : 0.662 s
% # System time : 0.026 s
% # Total time : 0.688 s
% # Maximum resident set size: 0 pages
% PrfWatch: 1.10 CPU 1.19 WC
% FINAL PrfWatch: 1.10 CPU 1.19 WC
% SZS output end Solution for /tmp/SystemOnTPTP20696/SEU284+1.tptp
%
%------------------------------------------------------------------------------