TSTP Solution File: SEU221+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU221+3 : TPTP v5.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art02.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 02:00:33 EST 2010
% Result : Theorem 1.47s
% Output : Solution 1.47s
% 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/SystemOnTPTP17519/SEU221+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP17519/SEU221+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17519/SEU221+3.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 17615
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:((relation(X1)&function(X1))=>(relation(function_inverse(X1))&function(function_inverse(X1)))),file('/tmp/SRASS.s.p', dt_k2_funct_1)).
% fof(15, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>![X2]:((relation(X2)&function(X2))=>(X2=function_inverse(X1)<=>(relation_dom(X2)=relation_rng(X1)&![X3]:![X4]:(((in(X3,relation_rng(X1))&X4=apply(X2,X3))=>(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&((in(X4,relation_dom(X1))&X3=apply(X1,X4))=>(in(X3,relation_rng(X1))&X4=apply(X2,X3))))))))),file('/tmp/SRASS.s.p', t54_funct_1)).
% fof(16, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>((one_to_one(X2)&in(X1,relation_rng(X2)))=>(X1=apply(X2,apply(function_inverse(X2),X1))&X1=apply(relation_composition(function_inverse(X2),X2),X1)))),file('/tmp/SRASS.s.p', t57_funct_1)).
% fof(19, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)<=>![X2]:![X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))=>X2=X3))),file('/tmp/SRASS.s.p', d8_funct_1)).
% fof(41, conjecture,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>one_to_one(function_inverse(X1)))),file('/tmp/SRASS.s.p', t62_funct_1)).
% fof(42, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>one_to_one(function_inverse(X1))))),inference(assume_negation,[status(cth)],[41])).
% fof(50, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(51, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[50])).
% fof(52, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[51])).
% cnf(53,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[52])).
% cnf(54,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[52])).
% fof(106, plain,![X1]:((~(relation(X1))|~(function(X1)))|(~(one_to_one(X1))|![X2]:((~(relation(X2))|~(function(X2)))|((~(X2=function_inverse(X1))|(relation_dom(X2)=relation_rng(X1)&![X3]:![X4]:(((~(in(X3,relation_rng(X1)))|~(X4=apply(X2,X3)))|(in(X4,relation_dom(X1))&X3=apply(X1,X4)))&((~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4)))|(in(X3,relation_rng(X1))&X4=apply(X2,X3))))))&((~(relation_dom(X2)=relation_rng(X1))|?[X3]:?[X4]:(((in(X3,relation_rng(X1))&X4=apply(X2,X3))&(~(in(X4,relation_dom(X1)))|~(X3=apply(X1,X4))))|((in(X4,relation_dom(X1))&X3=apply(X1,X4))&(~(in(X3,relation_rng(X1)))|~(X4=apply(X2,X3))))))|X2=function_inverse(X1)))))),inference(fof_nnf,[status(thm)],[15])).
% fof(107, plain,![X5]:((~(relation(X5))|~(function(X5)))|(~(one_to_one(X5))|![X6]:((~(relation(X6))|~(function(X6)))|((~(X6=function_inverse(X5))|(relation_dom(X6)=relation_rng(X5)&![X7]:![X8]:(((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))))&((~(relation_dom(X6)=relation_rng(X5))|?[X9]:?[X10]:(((in(X9,relation_rng(X5))&X10=apply(X6,X9))&(~(in(X10,relation_dom(X5)))|~(X9=apply(X5,X10))))|((in(X10,relation_dom(X5))&X9=apply(X5,X10))&(~(in(X9,relation_rng(X5)))|~(X10=apply(X6,X9))))))|X6=function_inverse(X5)))))),inference(variable_rename,[status(thm)],[106])).
% fof(108, plain,![X5]:((~(relation(X5))|~(function(X5)))|(~(one_to_one(X5))|![X6]:((~(relation(X6))|~(function(X6)))|((~(X6=function_inverse(X5))|(relation_dom(X6)=relation_rng(X5)&![X7]:![X8]:(((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))))&((~(relation_dom(X6)=relation_rng(X5))|(((in(esk8_2(X5,X6),relation_rng(X5))&esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))&(~(in(esk9_2(X5,X6),relation_dom(X5)))|~(esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))))|((in(esk9_2(X5,X6),relation_dom(X5))&esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))&(~(in(esk8_2(X5,X6),relation_rng(X5)))|~(esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))))))|X6=function_inverse(X5)))))),inference(skolemize,[status(esa)],[107])).
% fof(109, plain,![X5]:![X6]:![X7]:![X8]:(((((((((~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7)))|(in(X8,relation_dom(X5))&X7=apply(X5,X8)))&((~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8)))|(in(X7,relation_rng(X5))&X8=apply(X6,X7))))&relation_dom(X6)=relation_rng(X5))|~(X6=function_inverse(X5)))&((~(relation_dom(X6)=relation_rng(X5))|(((in(esk8_2(X5,X6),relation_rng(X5))&esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))&(~(in(esk9_2(X5,X6),relation_dom(X5)))|~(esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))))|((in(esk9_2(X5,X6),relation_dom(X5))&esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))&(~(in(esk8_2(X5,X6),relation_rng(X5)))|~(esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))))))|X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[108])).
% fof(110, plain,![X5]:![X6]:![X7]:![X8]:(((((((((in(X8,relation_dom(X5))|(~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&(((((X7=apply(X5,X8)|(~(in(X7,relation_rng(X5)))|~(X8=apply(X6,X7))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((in(X7,relation_rng(X5))|(~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&(((((X8=apply(X6,X7)|(~(in(X8,relation_dom(X5)))|~(X7=apply(X5,X8))))|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))&((((relation_dom(X6)=relation_rng(X5)|~(X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((((((in(esk9_2(X5,X6),relation_dom(X5))|in(esk8_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6))|in(esk8_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk8_2(X5,X6),relation_rng(X5)))|~(esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6))))|in(esk8_2(X5,X6),relation_rng(X5)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&((((((((in(esk9_2(X5,X6),relation_dom(X5))|esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6))|esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk8_2(X5,X6),relation_rng(X5)))|~(esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6))))|esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6)))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))&((((((((in(esk9_2(X5,X6),relation_dom(X5))|(~(in(esk9_2(X5,X6),relation_dom(X5)))|~(esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))&((((((esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6))|(~(in(esk9_2(X5,X6),relation_dom(X5)))|~(esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))))&(((((((~(in(esk8_2(X5,X6),relation_rng(X5)))|~(esk9_2(X5,X6)=apply(X6,esk8_2(X5,X6))))|(~(in(esk9_2(X5,X6),relation_dom(X5)))|~(esk8_2(X5,X6)=apply(X5,esk9_2(X5,X6)))))|~(relation_dom(X6)=relation_rng(X5)))|X6=function_inverse(X5))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[109])).
% cnf(120,plain,(relation_dom(X2)=relation_rng(X1)|~function(X1)|~relation(X1)|~one_to_one(X1)|~function(X2)|~relation(X2)|X2!=function_inverse(X1)),inference(split_conjunct,[status(thm)],[110])).
% fof(125, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|((~(one_to_one(X2))|~(in(X1,relation_rng(X2))))|(X1=apply(X2,apply(function_inverse(X2),X1))&X1=apply(relation_composition(function_inverse(X2),X2),X1)))),inference(fof_nnf,[status(thm)],[16])).
% fof(126, plain,![X3]:![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|~(in(X3,relation_rng(X4))))|(X3=apply(X4,apply(function_inverse(X4),X3))&X3=apply(relation_composition(function_inverse(X4),X4),X3)))),inference(variable_rename,[status(thm)],[125])).
% fof(127, plain,![X3]:![X4]:(((X3=apply(X4,apply(function_inverse(X4),X3))|(~(one_to_one(X4))|~(in(X3,relation_rng(X4)))))|(~(relation(X4))|~(function(X4))))&((X3=apply(relation_composition(function_inverse(X4),X4),X3)|(~(one_to_one(X4))|~(in(X3,relation_rng(X4)))))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[126])).
% cnf(129,plain,(X2=apply(X1,apply(function_inverse(X1),X2))|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1))|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[127])).
% fof(140, plain,![X1]:((~(relation(X1))|~(function(X1)))|((~(one_to_one(X1))|![X2]:![X3]:(((~(in(X2,relation_dom(X1)))|~(in(X3,relation_dom(X1))))|~(apply(X1,X2)=apply(X1,X3)))|X2=X3))&(?[X2]:?[X3]:(((in(X2,relation_dom(X1))&in(X3,relation_dom(X1)))&apply(X1,X2)=apply(X1,X3))&~(X2=X3))|one_to_one(X1)))),inference(fof_nnf,[status(thm)],[19])).
% fof(141, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&(?[X7]:?[X8]:(((in(X7,relation_dom(X4))&in(X8,relation_dom(X4)))&apply(X4,X7)=apply(X4,X8))&~(X7=X8))|one_to_one(X4)))),inference(variable_rename,[status(thm)],[140])).
% fof(142, plain,![X4]:((~(relation(X4))|~(function(X4)))|((~(one_to_one(X4))|![X5]:![X6]:(((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6))&((((in(esk10_1(X4),relation_dom(X4))&in(esk11_1(X4),relation_dom(X4)))&apply(X4,esk10_1(X4))=apply(X4,esk11_1(X4)))&~(esk10_1(X4)=esk11_1(X4)))|one_to_one(X4)))),inference(skolemize,[status(esa)],[141])).
% fof(143, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))&((((in(esk10_1(X4),relation_dom(X4))&in(esk11_1(X4),relation_dom(X4)))&apply(X4,esk10_1(X4))=apply(X4,esk11_1(X4)))&~(esk10_1(X4)=esk11_1(X4)))|one_to_one(X4)))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[142])).
% fof(144, plain,![X4]:![X5]:![X6]:((((((~(in(X5,relation_dom(X4)))|~(in(X6,relation_dom(X4))))|~(apply(X4,X5)=apply(X4,X6)))|X5=X6)|~(one_to_one(X4)))|(~(relation(X4))|~(function(X4))))&(((((in(esk10_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4))))&((in(esk11_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((apply(X4,esk10_1(X4))=apply(X4,esk11_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((~(esk10_1(X4)=esk11_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[143])).
% cnf(145,plain,(one_to_one(X1)|~function(X1)|~relation(X1)|esk10_1(X1)!=esk11_1(X1)),inference(split_conjunct,[status(thm)],[144])).
% cnf(146,plain,(one_to_one(X1)|apply(X1,esk10_1(X1))=apply(X1,esk11_1(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[144])).
% cnf(147,plain,(one_to_one(X1)|in(esk11_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[144])).
% cnf(148,plain,(one_to_one(X1)|in(esk10_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[144])).
% fof(218, negated_conjecture,?[X1]:((relation(X1)&function(X1))&(one_to_one(X1)&~(one_to_one(function_inverse(X1))))),inference(fof_nnf,[status(thm)],[42])).
% fof(219, negated_conjecture,?[X2]:((relation(X2)&function(X2))&(one_to_one(X2)&~(one_to_one(function_inverse(X2))))),inference(variable_rename,[status(thm)],[218])).
% fof(220, negated_conjecture,((relation(esk16_0)&function(esk16_0))&(one_to_one(esk16_0)&~(one_to_one(function_inverse(esk16_0))))),inference(skolemize,[status(esa)],[219])).
% cnf(221,negated_conjecture,(~one_to_one(function_inverse(esk16_0))),inference(split_conjunct,[status(thm)],[220])).
% cnf(222,negated_conjecture,(one_to_one(esk16_0)),inference(split_conjunct,[status(thm)],[220])).
% cnf(223,negated_conjecture,(function(esk16_0)),inference(split_conjunct,[status(thm)],[220])).
% cnf(224,negated_conjecture,(relation(esk16_0)),inference(split_conjunct,[status(thm)],[220])).
% cnf(288,plain,(relation_rng(X1)=relation_dom(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(function_inverse(X1))|~relation(X1)),inference(er,[status(thm)],[120,theory(equality)])).
% cnf(305,plain,(apply(X1,apply(function_inverse(X1),esk10_1(function_inverse(X1))))=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~in(esk11_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~function(function_inverse(X1))|~relation(function_inverse(X1))),inference(spm,[status(thm)],[129,146,theory(equality)])).
% cnf(582,plain,(relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[288,54])).
% cnf(583,plain,(relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[582,53])).
% cnf(587,plain,(in(esk10_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~function(function_inverse(X1))|~relation(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[148,583,theory(equality)])).
% cnf(588,plain,(in(esk11_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~function(function_inverse(X1))|~relation(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[147,583,theory(equality)])).
% cnf(871,plain,(apply(X1,apply(function_inverse(X1),esk10_1(function_inverse(X1))))=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~in(esk11_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[305,54])).
% cnf(872,plain,(apply(X1,apply(function_inverse(X1),esk10_1(function_inverse(X1))))=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~in(esk11_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[871,53])).
% cnf(877,plain,(esk11_1(function_inverse(X1))=esk10_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~in(esk10_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(esk11_1(function_inverse(X1)),relation_rng(X1))),inference(spm,[status(thm)],[129,872,theory(equality)])).
% cnf(3150,plain,(in(esk10_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[587,54])).
% cnf(3151,plain,(in(esk10_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[3150,53])).
% cnf(3208,plain,(in(esk11_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[588,54])).
% cnf(3209,plain,(in(esk11_1(function_inverse(X1)),relation_rng(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[3208,53])).
% cnf(10123,plain,(esk11_1(function_inverse(X1))=esk10_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~in(esk10_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[877,3209])).
% cnf(10124,plain,(esk11_1(function_inverse(X1))=esk10_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[10123,3151])).
% cnf(10125,plain,(one_to_one(function_inverse(X1))|~function(function_inverse(X1))|~relation(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[145,10124,theory(equality)])).
% cnf(10151,plain,(one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[10125,54])).
% cnf(10152,plain,(one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[10151,53])).
% cnf(10155,negated_conjecture,(~one_to_one(esk16_0)|~function(esk16_0)|~relation(esk16_0)),inference(spm,[status(thm)],[221,10152,theory(equality)])).
% cnf(10175,negated_conjecture,($false|~function(esk16_0)|~relation(esk16_0)),inference(rw,[status(thm)],[10155,222,theory(equality)])).
% cnf(10176,negated_conjecture,($false|$false|~relation(esk16_0)),inference(rw,[status(thm)],[10175,223,theory(equality)])).
% cnf(10177,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[10176,224,theory(equality)])).
% cnf(10178,negated_conjecture,($false),inference(cn,[status(thm)],[10177,theory(equality)])).
% cnf(10179,negated_conjecture,($false),10178,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1351
% # ...of these trivial : 12
% # ...subsumed : 982
% # ...remaining for further processing: 357
% # Other redundant clauses eliminated : 2
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 41
% # Backward-rewritten : 19
% # Generated clauses : 7007
% # ...of the previous two non-trivial : 6667
% # Contextual simplify-reflections : 1998
% # Paramodulations : 6989
% # Factorizations : 0
% # Equation resolutions : 15
% # Current number of processed clauses: 296
% # Positive orientable unit clauses: 28
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 10
% # Non-unit-clauses : 258
% # Current number of unprocessed clauses: 4519
% # ...number of literals in the above : 41850
% # Clause-clause subsumption calls (NU) : 22213
% # Rec. Clause-clause subsumption calls : 16364
% # Unit Clause-clause subsumption calls : 110
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 8
% # Indexed BW rewrite successes : 8
% # Backwards rewriting index: 206 leaves, 1.61+/-1.486 terms/leaf
% # Paramod-from index: 83 leaves, 1.14+/-0.469 terms/leaf
% # Paramod-into index: 164 leaves, 1.42+/-1.088 terms/leaf
% # -------------------------------------------------
% # User time : 0.372 s
% # System time : 0.013 s
% # Total time : 0.385 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.62 CPU 0.71 WC
% FINAL PrfWatch: 0.62 CPU 0.71 WC
% SZS output end Solution for /tmp/SystemOnTPTP17519/SEU221+3.tptp
%
%------------------------------------------------------------------------------