TSTP Solution File: SEU220+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU220+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 : art09.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 02:00:02 EST 2010
% Result : Theorem 0.98s
% Output : Solution 0.98s
% 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/SystemOnTPTP4728/SEU220+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP4728/SEU220+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP4728/SEU220+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 4824
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # 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(9, 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(10, 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(41, 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(42, 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)],[41])).
% fof(53, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(54, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[53])).
% fof(55, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[54])).
% cnf(56,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[55])).
% cnf(57,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[55])).
% fof(75, 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(76, 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)],[75])).
% fof(77, 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)],[76])).
% fof(78, 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)],[77])).
% fof(79, 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)],[78])).
% cnf(92,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)],[79])).
% fof(100, 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)],[9])).
% fof(101, 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)],[100])).
% fof(102, 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)],[101])).
% cnf(104,plain,(relation_rng(X1)=relation_dom(function_inverse(X1))|~function(X1)|~relation(X1)|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[102])).
% fof(105, 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)],[10])).
% fof(106, 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)],[105])).
% fof(107, 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)],[106])).
% cnf(108,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)],[107])).
% fof(212, 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)],[42])).
% fof(213, 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)],[212])).
% fof(214, negated_conjecture,((relation(esk15_0)&function(esk15_0))&((one_to_one(esk15_0)&in(esk14_0,relation_rng(esk15_0)))&(~(esk14_0=apply(esk15_0,apply(function_inverse(esk15_0),esk14_0)))|~(esk14_0=apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0))))),inference(skolemize,[status(esa)],[213])).
% cnf(215,negated_conjecture,(esk14_0!=apply(relation_composition(function_inverse(esk15_0),esk15_0),esk14_0)|esk14_0!=apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))),inference(split_conjunct,[status(thm)],[214])).
% cnf(216,negated_conjecture,(in(esk14_0,relation_rng(esk15_0))),inference(split_conjunct,[status(thm)],[214])).
% cnf(217,negated_conjecture,(one_to_one(esk15_0)),inference(split_conjunct,[status(thm)],[214])).
% cnf(218,negated_conjecture,(function(esk15_0)),inference(split_conjunct,[status(thm)],[214])).
% cnf(219,negated_conjecture,(relation(esk15_0)),inference(split_conjunct,[status(thm)],[214])).
% cnf(302,negated_conjecture,(apply(esk15_0,X1)=esk14_0|apply(X2,esk14_0)!=X1|function_inverse(esk15_0)!=X2|~one_to_one(esk15_0)|~function(X2)|~function(esk15_0)|~relation(X2)|~relation(esk15_0)),inference(spm,[status(thm)],[92,216,theory(equality)])).
% cnf(303,negated_conjecture,(apply(esk15_0,X1)=esk14_0|apply(X2,esk14_0)!=X1|function_inverse(esk15_0)!=X2|$false|~function(X2)|~function(esk15_0)|~relation(X2)|~relation(esk15_0)),inference(rw,[status(thm)],[302,217,theory(equality)])).
% cnf(304,negated_conjecture,(apply(esk15_0,X1)=esk14_0|apply(X2,esk14_0)!=X1|function_inverse(esk15_0)!=X2|$false|~function(X2)|$false|~relation(X2)|~relation(esk15_0)),inference(rw,[status(thm)],[303,218,theory(equality)])).
% cnf(305,negated_conjecture,(apply(esk15_0,X1)=esk14_0|apply(X2,esk14_0)!=X1|function_inverse(esk15_0)!=X2|$false|~function(X2)|$false|~relation(X2)|$false),inference(rw,[status(thm)],[304,219,theory(equality)])).
% cnf(306,negated_conjecture,(apply(esk15_0,X1)=esk14_0|apply(X2,esk14_0)!=X1|function_inverse(esk15_0)!=X2|~function(X2)|~relation(X2)),inference(cn,[status(thm)],[305,theory(equality)])).
% cnf(307,negated_conjecture,(apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|~function(esk15_0)|~function(function_inverse(esk15_0))|~relation(esk15_0)|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_dom(function_inverse(esk15_0)))),inference(spm,[status(thm)],[215,108,theory(equality)])).
% cnf(308,negated_conjecture,(apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|$false|~function(function_inverse(esk15_0))|~relation(esk15_0)|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_dom(function_inverse(esk15_0)))),inference(rw,[status(thm)],[307,218,theory(equality)])).
% cnf(309,negated_conjecture,(apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|$false|~function(function_inverse(esk15_0))|$false|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_dom(function_inverse(esk15_0)))),inference(rw,[status(thm)],[308,219,theory(equality)])).
% cnf(310,negated_conjecture,(apply(esk15_0,apply(function_inverse(esk15_0),esk14_0))!=esk14_0|~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_dom(function_inverse(esk15_0)))),inference(cn,[status(thm)],[309,theory(equality)])).
% cnf(843,negated_conjecture,(apply(esk15_0,apply(X1,esk14_0))=esk14_0|function_inverse(esk15_0)!=X1|~function(X1)|~relation(X1)),inference(er,[status(thm)],[306,theory(equality)])).
% cnf(901,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_dom(function_inverse(esk15_0)))),inference(spm,[status(thm)],[310,843,theory(equality)])).
% cnf(904,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|~in(esk14_0,relation_rng(esk15_0))|~one_to_one(esk15_0)|~function(esk15_0)|~relation(esk15_0)),inference(spm,[status(thm)],[901,104,theory(equality)])).
% cnf(905,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|$false|~one_to_one(esk15_0)|~function(esk15_0)|~relation(esk15_0)),inference(rw,[status(thm)],[904,216,theory(equality)])).
% cnf(906,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|$false|$false|~function(esk15_0)|~relation(esk15_0)),inference(rw,[status(thm)],[905,217,theory(equality)])).
% cnf(907,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|$false|$false|$false|~relation(esk15_0)),inference(rw,[status(thm)],[906,218,theory(equality)])).
% cnf(908,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[907,219,theory(equality)])).
% cnf(909,negated_conjecture,(~function(function_inverse(esk15_0))|~relation(function_inverse(esk15_0))),inference(cn,[status(thm)],[908,theory(equality)])).
% cnf(910,negated_conjecture,(~relation(function_inverse(esk15_0))|~function(esk15_0)|~relation(esk15_0)),inference(spm,[status(thm)],[909,56,theory(equality)])).
% cnf(911,negated_conjecture,(~relation(function_inverse(esk15_0))|$false|~relation(esk15_0)),inference(rw,[status(thm)],[910,218,theory(equality)])).
% cnf(912,negated_conjecture,(~relation(function_inverse(esk15_0))|$false|$false),inference(rw,[status(thm)],[911,219,theory(equality)])).
% cnf(913,negated_conjecture,(~relation(function_inverse(esk15_0))),inference(cn,[status(thm)],[912,theory(equality)])).
% cnf(914,negated_conjecture,(~function(esk15_0)|~relation(esk15_0)),inference(spm,[status(thm)],[913,57,theory(equality)])).
% cnf(915,negated_conjecture,($false|~relation(esk15_0)),inference(rw,[status(thm)],[914,218,theory(equality)])).
% cnf(916,negated_conjecture,($false|$false),inference(rw,[status(thm)],[915,219,theory(equality)])).
% cnf(917,negated_conjecture,($false),inference(cn,[status(thm)],[916,theory(equality)])).
% cnf(918,negated_conjecture,($false),917,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 243
% # ...of these trivial : 3
% # ...subsumed : 82
% # ...remaining for further processing: 158
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 3
% # Backward-rewritten : 14
% # Generated clauses : 415
% # ...of the previous two non-trivial : 364
% # Contextual simplify-reflections : 56
% # Paramodulations : 409
% # Factorizations : 0
% # Equation resolutions : 3
% # Current number of processed clauses: 140
% # Positive orientable unit clauses: 27
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 10
% # Non-unit-clauses : 103
% # Current number of unprocessed clauses: 181
% # ...number of literals in the above : 1174
% # Clause-clause subsumption calls (NU) : 786
% # Rec. Clause-clause subsumption calls : 686
% # Unit Clause-clause subsumption calls : 101
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 5
% # Indexed BW rewrite successes : 5
% # Backwards rewriting index: 124 leaves, 1.40+/-0.879 terms/leaf
% # Paramod-from index: 57 leaves, 1.04+/-0.263 terms/leaf
% # Paramod-into index: 105 leaves, 1.21+/-0.511 terms/leaf
% # -------------------------------------------------
% # User time : 0.032 s
% # System time : 0.010 s
% # Total time : 0.042 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.22 WC
% FINAL PrfWatch: 0.14 CPU 0.22 WC
% SZS output end Solution for /tmp/SystemOnTPTP4728/SEU220+3.tptp
%
%------------------------------------------------------------------------------