%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU220+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 : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Thu Dec 30 02:04:34 EST 2010
% Result : Theorem 5.85s
% Output : Solution 5.85s
% 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/SystemOnTPTP386/SEU220+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP386/SEU220+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP386/SEU220+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 518
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% PrfWatch: 1.95 CPU 2.03 WC
% # Preprocessing time : 0.014 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 3.73 CPU 4.03 WC
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:((relation(X1)&function(X1))=>(relation(function_inverse(X1))&function(function_inverse(X1)))),file('/tmp/SRASS.s.p', dt_k2_funct_1)).
% fof(7, 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(8, axiom,![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>(relation_rng(X1)=relation_dom(function_inverse(X1))&relation_dom(X1)=relation_rng(function_inverse(X1))))),file('/tmp/SRASS.s.p', t55_funct_1)).
% fof(9, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(X2))=>apply(relation_composition(X2,X3),X1)=apply(X3,apply(X2,X1))))),file('/tmp/SRASS.s.p', t23_funct_1)).
% fof(39, conjecture,![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(40, negated_conjecture,~(![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(assume_negation,[status(cth)],[39])).
% fof(49, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(50, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[49])).
% fof(51, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[51])).
% cnf(53,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[51])).
% fof(71, 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)],[7])).
% fof(72, 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)],[71])).
% fof(73, 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(esk3_2(X5,X6),relation_rng(X5))&esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6)))&(~(in(esk4_2(X5,X6),relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|((in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))&(~(in(esk3_2(X5,X6),relation_rng(X5)))|~(esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6)))))))|X6=function_inverse(X5)))))),inference(skolemize,[status(esa)],[72])).
% fof(74, 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(esk3_2(X5,X6),relation_rng(X5))&esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6)))&(~(in(esk4_2(X5,X6),relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))))|((in(esk4_2(X5,X6),relation_dom(X5))&esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6)))&(~(in(esk3_2(X5,X6),relation_rng(X5)))|~(esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6)))))))|X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[73])).
% fof(75, 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(esk4_2(X5,X6),relation_dom(X5))|in(esk3_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))))&((((((esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6))|in(esk3_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(esk3_2(X5,X6),relation_rng(X5)))|~(esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6))))|in(esk3_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(esk4_2(X5,X6),relation_dom(X5))|esk4_2(X5,X6)=apply(X6,esk3_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))))&((((((esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6))|esk4_2(X5,X6)=apply(X6,esk3_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(esk3_2(X5,X6),relation_rng(X5)))|~(esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6))))|esk4_2(X5,X6)=apply(X6,esk3_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(esk4_2(X5,X6),relation_dom(X5))|(~(in(esk4_2(X5,X6),relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,esk4_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))))&((((((esk3_2(X5,X6)=apply(X5,esk4_2(X5,X6))|(~(in(esk4_2(X5,X6),relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,esk4_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(esk3_2(X5,X6),relation_rng(X5)))|~(esk4_2(X5,X6)=apply(X6,esk3_2(X5,X6))))|(~(in(esk4_2(X5,X6),relation_dom(X5)))|~(esk3_2(X5,X6)=apply(X5,esk4_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)],[74])).
% cnf(88,plain,(X4=apply(X1,X3)|~function(X1)|~relation(X1)|~one_to_one(X1)|~function(X2)|~relation(X2)|X2!=function_inverse(X1)|X3!=apply(X2,X4)|~in(X4,relation_rng(X1))),inference(split_conjunct,[status(thm)],[75])).
% fof(90, plain,![X1]:((~(relation(X1))|~(function(X1)))|(~(one_to_one(X1))|(relation_rng(X1)=relation_dom(function_inverse(X1))&relation_dom(X1)=relation_rng(function_inverse(X1))))),inference(fof_nnf,[status(thm)],[8])).
% fof(91, plain,![X2]:((~(relation(X2))|~(function(X2)))|(~(one_to_one(X2))|(relation_rng(X2)=relation_dom(function_inverse(X2))&relation_dom(X2)=relation_rng(function_inverse(X2))))),inference(variable_rename,[status(thm)],[90])).
% fof(92, plain,![X2]:(((relation_rng(X2)=relation_dom(function_inverse(X2))|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))&((relation_dom(X2)=relation_rng(function_inverse(X2))|~(one_to_one(X2)))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[91])).
% cnf(94,plain,(relation_rng(X1)=relation_dom(function_inverse(X1))|~function(X1)|~relation(X1)|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[92])).
% fof(95, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|(~(in(X1,relation_dom(X2)))|apply(relation_composition(X2,X3),X1)=apply(X3,apply(X2,X1))))),inference(fof_nnf,[status(thm)],[9])).
% fof(96, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(X5)))|apply(relation_composition(X5,X6),X4)=apply(X6,apply(X5,X4))))),inference(variable_rename,[status(thm)],[95])).
% fof(97, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(X5)))|apply(relation_composition(X5,X6),X4)=apply(X6,apply(X5,X4))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[96])).
% cnf(98,plain,(apply(relation_composition(X1,X2),X3)=apply(X2,apply(X1,X3))|~function(X1)|~relation(X1)|~in(X3,relation_dom(X1))|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[97])).
% fof(189, negated_conjecture,?[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)],[40])).
% fof(190, negated_conjecture,?[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)],[189])).
% fof(191, negated_conjecture,((relation(esk13_0)&function(esk13_0))&((one_to_one(esk13_0)&in(esk12_0,relation_rng(esk13_0)))&(~(esk12_0=apply(esk13_0,apply(function_inverse(esk13_0),esk12_0)))|~(esk12_0=apply(relation_composition(function_inverse(esk13_0),esk13_0),esk12_0))))),inference(skolemize,[status(esa)],[190])).
% cnf(192,negated_conjecture,(esk12_0!=apply(relation_composition(function_inverse(esk13_0),esk13_0),esk12_0)|esk12_0!=apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))),inference(split_conjunct,[status(thm)],[191])).
% cnf(193,negated_conjecture,(in(esk12_0,relation_rng(esk13_0))),inference(split_conjunct,[status(thm)],[191])).
% cnf(194,negated_conjecture,(one_to_one(esk13_0)),inference(split_conjunct,[status(thm)],[191])).
% cnf(195,negated_conjecture,(function(esk13_0)),inference(split_conjunct,[status(thm)],[191])).
% cnf(196,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[191])).
% cnf(308,plain,(apply(relation_composition(function_inverse(X1),X2),X3)=apply(X2,apply(function_inverse(X1),X3))|~function(X2)|~function(function_inverse(X1))|~relation(X2)|~relation(function_inverse(X1))|~in(X3,relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[98,94,theory(equality)])).
% cnf(314,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(function_inverse(X1))|~relation(X1)|~in(X3,relation_rng(X1))),inference(er,[status(thm)],[88,theory(equality)])).
% cnf(2505,plain,(apply(relation_composition(function_inverse(X1),X2),X3)=apply(X2,apply(function_inverse(X1),X3))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~function(X2)|~relation(X1)|~relation(X2)|~in(X3,relation_rng(X1))),inference(csr,[status(thm)],[308,53])).
% cnf(2506,plain,(apply(relation_composition(function_inverse(X1),X2),X3)=apply(X2,apply(function_inverse(X1),X3))|~one_to_one(X1)|~function(X1)|~function(X2)|~relation(X2)|~relation(X1)|~in(X3,relation_rng(X1))),inference(csr,[status(thm)],[2505,52])).
% cnf(2522,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),X1),esk12_0)=apply(X1,apply(function_inverse(esk13_0),esk12_0))|~one_to_one(esk13_0)|~function(X1)|~function(esk13_0)|~relation(X1)|~relation(esk13_0)),inference(spm,[status(thm)],[2506,193,theory(equality)])).
% cnf(2527,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),X1),esk12_0)=apply(X1,apply(function_inverse(esk13_0),esk12_0))|$false|~function(X1)|~function(esk13_0)|~relation(X1)|~relation(esk13_0)),inference(rw,[status(thm)],[2522,194,theory(equality)])).
% cnf(2528,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),X1),esk12_0)=apply(X1,apply(function_inverse(esk13_0),esk12_0))|$false|~function(X1)|$false|~relation(X1)|~relation(esk13_0)),inference(rw,[status(thm)],[2527,195,theory(equality)])).
% cnf(2529,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),X1),esk12_0)=apply(X1,apply(function_inverse(esk13_0),esk12_0))|$false|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[2528,196,theory(equality)])).
% cnf(2530,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),X1),esk12_0)=apply(X1,apply(function_inverse(esk13_0),esk12_0))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[2529,theory(equality)])).
% cnf(2732,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)|~in(X3,relation_rng(X1))),inference(csr,[status(thm)],[314,53])).
% cnf(2733,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X3,relation_rng(X1))),inference(csr,[status(thm)],[2732,52])).
% cnf(2734,plain,(apply(X1,apply(function_inverse(X1),X2))=X2|~one_to_one(X1)|~function(X1)|~relation(X1)|~in(X2,relation_rng(X1))),inference(er,[status(thm)],[2733,theory(equality)])).
% cnf(82771,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))=esk12_0|~one_to_one(esk13_0)|~function(esk13_0)|~relation(esk13_0)),inference(spm,[status(thm)],[2734,193,theory(equality)])).
% cnf(82782,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))=esk12_0|$false|~function(esk13_0)|~relation(esk13_0)),inference(rw,[status(thm)],[82771,194,theory(equality)])).
% cnf(82783,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))=esk12_0|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[82782,195,theory(equality)])).
% cnf(82784,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))=esk12_0|$false|$false|$false),inference(rw,[status(thm)],[82783,196,theory(equality)])).
% cnf(82785,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))=esk12_0),inference(cn,[status(thm)],[82784,theory(equality)])).
% cnf(82962,negated_conjecture,($false|apply(relation_composition(function_inverse(esk13_0),esk13_0),esk12_0)!=esk12_0),inference(rw,[status(thm)],[192,82785,theory(equality)])).
% cnf(82963,negated_conjecture,(apply(relation_composition(function_inverse(esk13_0),esk13_0),esk12_0)!=esk12_0),inference(cn,[status(thm)],[82962,theory(equality)])).
% cnf(83063,negated_conjecture,(apply(esk13_0,apply(function_inverse(esk13_0),esk12_0))!=esk12_0|~function(esk13_0)|~relation(esk13_0)),inference(spm,[status(thm)],[82963,2530,theory(equality)])).
% cnf(83084,negated_conjecture,($false|~function(esk13_0)|~relation(esk13_0)),inference(rw,[status(thm)],[83063,82785,theory(equality)])).
% cnf(83085,negated_conjecture,($false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[83084,195,theory(equality)])).
% cnf(83086,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[83085,196,theory(equality)])).
% cnf(83087,negated_conjecture,($false),inference(cn,[status(thm)],[83086,theory(equality)])).
% cnf(83088,negated_conjecture,($false),83087,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 10210
% # ...of these trivial : 3
% # ...subsumed : 8017
% # ...remaining for further processing: 2190
% # Other redundant clauses eliminated : 274
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 81
% # Backward-rewritten : 146
% # Generated clauses : 59558
% # ...of the previous two non-trivial : 59037
% # Contextual simplify-reflections : 8682
% # Paramodulations : 58620
% # Factorizations : 0
% # Equation resolutions : 401
% # Current number of processed clauses: 1570
% # Positive orientable unit clauses: 51
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 35
% # Non-unit-clauses : 1484
% # Current number of unprocessed clauses: 43346
% # ...number of literals in the above : 345008
% # Clause-clause subsumption calls (NU) : 1878025
% # Rec. Clause-clause subsumption calls : 317830
% # Unit Clause-clause subsumption calls : 18325
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 36
% # Indexed BW rewrite successes : 33
% # Backwards rewriting index: 419 leaves, 1.55+/-1.513 terms/leaf
% # Paramod-from index: 125 leaves, 1.22+/-0.466 terms/leaf
% # Paramod-into index: 328 leaves, 1.32+/-0.916 terms/leaf
% # -------------------------------------------------
% # User time : 3.435 s
% # System time : 0.106 s
% # Total time : 3.541 s
% # Maximum resident set size: 0 pages
% PrfWatch: 4.77 CPU 5.18 WC
% FINAL PrfWatch: 4.77 CPU 5.18 WC
% SZS output end Solution for /tmp/SystemOnTPTP386/SEU220+1.tptp
%
%------------------------------------------------------------------------------