TSTP Solution File: SEU220+2 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU220+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art04.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 01:59:57 EST 2010
% Result : Theorem 22.99s
% Output : Solution 22.99s
% 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/SystemOnTPTP18836/SEU220+2.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP18836/SEU220+2.tptp
% SZS output start Solution for /tmp/SystemOnTPTP18836/SEU220+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 18932
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.93 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.92 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.03 WC
% PrfWatch: 9.90 CPU 10.03 WC
% PrfWatch: 11.88 CPU 12.04 WC
% PrfWatch: 13.88 CPU 14.04 WC
% # Preprocessing time : 0.052 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 15.87 CPU 16.05 WC
% PrfWatch: 17.86 CPU 18.05 WC
% PrfWatch: 19.85 CPU 20.06 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(8, 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(11, 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(232, 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(233, 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)],[232])).
% fof(264, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[2])).
% fof(265, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[264])).
% fof(266, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[265])).
% cnf(267,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[266])).
% cnf(268,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[266])).
% fof(292, 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)],[8])).
% fof(293, 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)],[292])).
% fof(294, 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(esk4_2(X5,X6),relation_rng(X5))&esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6)))&(~(in(esk5_2(X5,X6),relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|((in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))&(~(in(esk4_2(X5,X6),relation_rng(X5)))|~(esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6)))))))|X6=function_inverse(X5)))))),inference(skolemize,[status(esa)],[293])).
% fof(295, 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(esk4_2(X5,X6),relation_rng(X5))&esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6)))&(~(in(esk5_2(X5,X6),relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))))|((in(esk5_2(X5,X6),relation_dom(X5))&esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6)))&(~(in(esk4_2(X5,X6),relation_rng(X5)))|~(esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6)))))))|X6=function_inverse(X5)))|(~(relation(X6))|~(function(X6))))|~(one_to_one(X5)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[294])).
% fof(296, 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(esk5_2(X5,X6),relation_dom(X5))|in(esk4_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))))&((((((esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6))|in(esk4_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_rng(X5)))|~(esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6))))|in(esk4_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(esk5_2(X5,X6),relation_dom(X5))|esk5_2(X5,X6)=apply(X6,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))))&((((((esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6))|esk5_2(X5,X6)=apply(X6,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(esk4_2(X5,X6),relation_rng(X5)))|~(esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6))))|esk5_2(X5,X6)=apply(X6,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(esk5_2(X5,X6),relation_dom(X5))|(~(in(esk5_2(X5,X6),relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,esk5_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))))&((((((esk4_2(X5,X6)=apply(X5,esk5_2(X5,X6))|(~(in(esk5_2(X5,X6),relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,esk5_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_rng(X5)))|~(esk5_2(X5,X6)=apply(X6,esk4_2(X5,X6))))|(~(in(esk5_2(X5,X6),relation_dom(X5)))|~(esk4_2(X5,X6)=apply(X5,esk5_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)],[295])).
% cnf(309,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)],[296])).
% fof(311, 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(312, 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)],[311])).
% fof(313, 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)],[312])).
% cnf(315,plain,(relation_rng(X1)=relation_dom(function_inverse(X1))|~function(X1)|~relation(X1)|~one_to_one(X1)),inference(split_conjunct,[status(thm)],[313])).
% fof(320, 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)],[11])).
% fof(321, 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)],[320])).
% fof(322, 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)],[321])).
% cnf(323,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)],[322])).
% fof(1229, 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)],[233])).
% fof(1230, 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)],[1229])).
% fof(1231, negated_conjecture,((relation(esk78_0)&function(esk78_0))&((one_to_one(esk78_0)&in(esk77_0,relation_rng(esk78_0)))&(~(esk77_0=apply(esk78_0,apply(function_inverse(esk78_0),esk77_0)))|~(esk77_0=apply(relation_composition(function_inverse(esk78_0),esk78_0),esk77_0))))),inference(skolemize,[status(esa)],[1230])).
% cnf(1232,negated_conjecture,(esk77_0!=apply(relation_composition(function_inverse(esk78_0),esk78_0),esk77_0)|esk77_0!=apply(esk78_0,apply(function_inverse(esk78_0),esk77_0))),inference(split_conjunct,[status(thm)],[1231])).
% cnf(1233,negated_conjecture,(in(esk77_0,relation_rng(esk78_0))),inference(split_conjunct,[status(thm)],[1231])).
% cnf(1234,negated_conjecture,(one_to_one(esk78_0)),inference(split_conjunct,[status(thm)],[1231])).
% cnf(1235,negated_conjecture,(function(esk78_0)),inference(split_conjunct,[status(thm)],[1231])).
% cnf(1236,negated_conjecture,(relation(esk78_0)),inference(split_conjunct,[status(thm)],[1231])).
% cnf(2983,negated_conjecture,(apply(esk78_0,apply(function_inverse(esk78_0),esk77_0))!=esk77_0|~function(esk78_0)|~function(function_inverse(esk78_0))|~relation(esk78_0)|~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(spm,[status(thm)],[1232,323,theory(equality)])).
% cnf(2985,negated_conjecture,(apply(esk78_0,apply(function_inverse(esk78_0),esk77_0))!=esk77_0|$false|~function(function_inverse(esk78_0))|~relation(esk78_0)|~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(rw,[status(thm)],[2983,1235,theory(equality)])).
% cnf(2986,negated_conjecture,(apply(esk78_0,apply(function_inverse(esk78_0),esk77_0))!=esk77_0|$false|~function(function_inverse(esk78_0))|$false|~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(rw,[status(thm)],[2985,1236,theory(equality)])).
% cnf(2987,negated_conjecture,(apply(esk78_0,apply(function_inverse(esk78_0),esk77_0))!=esk77_0|~function(function_inverse(esk78_0))|~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(cn,[status(thm)],[2986,theory(equality)])).
% cnf(4045,negated_conjecture,(apply(esk78_0,X1)=esk77_0|apply(X2,esk77_0)!=X1|function_inverse(esk78_0)!=X2|~one_to_one(esk78_0)|~function(X2)|~function(esk78_0)|~relation(X2)|~relation(esk78_0)),inference(spm,[status(thm)],[309,1233,theory(equality)])).
% cnf(4074,negated_conjecture,(apply(esk78_0,X1)=esk77_0|apply(X2,esk77_0)!=X1|function_inverse(esk78_0)!=X2|$false|~function(X2)|~function(esk78_0)|~relation(X2)|~relation(esk78_0)),inference(rw,[status(thm)],[4045,1234,theory(equality)])).
% cnf(4075,negated_conjecture,(apply(esk78_0,X1)=esk77_0|apply(X2,esk77_0)!=X1|function_inverse(esk78_0)!=X2|$false|~function(X2)|$false|~relation(X2)|~relation(esk78_0)),inference(rw,[status(thm)],[4074,1235,theory(equality)])).
% cnf(4076,negated_conjecture,(apply(esk78_0,X1)=esk77_0|apply(X2,esk77_0)!=X1|function_inverse(esk78_0)!=X2|$false|~function(X2)|$false|~relation(X2)|$false),inference(rw,[status(thm)],[4075,1236,theory(equality)])).
% cnf(4077,negated_conjecture,(apply(esk78_0,X1)=esk77_0|apply(X2,esk77_0)!=X1|function_inverse(esk78_0)!=X2|~function(X2)|~relation(X2)),inference(cn,[status(thm)],[4076,theory(equality)])).
% cnf(303147,negated_conjecture,(apply(esk78_0,apply(X1,esk77_0))=esk77_0|function_inverse(esk78_0)!=X1|~function(X1)|~relation(X1)),inference(er,[status(thm)],[4077,theory(equality)])).
% cnf(303363,negated_conjecture,(~function(function_inverse(esk78_0))|~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(spm,[status(thm)],[2987,303147,theory(equality)])).
% cnf(303485,negated_conjecture,(~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))|~function(esk78_0)|~relation(esk78_0)),inference(spm,[status(thm)],[303363,267,theory(equality)])).
% cnf(303499,negated_conjecture,(~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))|$false|~relation(esk78_0)),inference(rw,[status(thm)],[303485,1235,theory(equality)])).
% cnf(303500,negated_conjecture,(~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))|$false|$false),inference(rw,[status(thm)],[303499,1236,theory(equality)])).
% cnf(303501,negated_conjecture,(~relation(function_inverse(esk78_0))|~in(esk77_0,relation_dom(function_inverse(esk78_0)))),inference(cn,[status(thm)],[303500,theory(equality)])).
% cnf(303547,negated_conjecture,(~relation(function_inverse(esk78_0))|~in(esk77_0,relation_rng(esk78_0))|~one_to_one(esk78_0)|~function(esk78_0)|~relation(esk78_0)),inference(spm,[status(thm)],[303501,315,theory(equality)])).
% cnf(303562,negated_conjecture,(~relation(function_inverse(esk78_0))|$false|~one_to_one(esk78_0)|~function(esk78_0)|~relation(esk78_0)),inference(rw,[status(thm)],[303547,1233,theory(equality)])).
% cnf(303563,negated_conjecture,(~relation(function_inverse(esk78_0))|$false|$false|~function(esk78_0)|~relation(esk78_0)),inference(rw,[status(thm)],[303562,1234,theory(equality)])).
% cnf(303564,negated_conjecture,(~relation(function_inverse(esk78_0))|$false|$false|$false|~relation(esk78_0)),inference(rw,[status(thm)],[303563,1235,theory(equality)])).
% cnf(303565,negated_conjecture,(~relation(function_inverse(esk78_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[303564,1236,theory(equality)])).
% cnf(303566,negated_conjecture,(~relation(function_inverse(esk78_0))),inference(cn,[status(thm)],[303565,theory(equality)])).
% cnf(303580,negated_conjecture,(~function(esk78_0)|~relation(esk78_0)),inference(spm,[status(thm)],[303566,268,theory(equality)])).
% cnf(303588,negated_conjecture,($false|~relation(esk78_0)),inference(rw,[status(thm)],[303580,1235,theory(equality)])).
% cnf(303589,negated_conjecture,($false|$false),inference(rw,[status(thm)],[303588,1236,theory(equality)])).
% cnf(303590,negated_conjecture,($false),inference(cn,[status(thm)],[303589,theory(equality)])).
% cnf(303591,negated_conjecture,($false),303590,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 20972
% # ...of these trivial : 56
% # ...subsumed : 16054
% # ...remaining for further processing: 4862
% # Other redundant clauses eliminated : 742
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 516
% # Backward-rewritten : 53
% # Generated clauses : 239804
% # ...of the previous two non-trivial : 232415
% # Contextual simplify-reflections : 6738
% # Paramodulations : 238806
% # Factorizations : 25
% # Equation resolutions : 970
% # Current number of processed clauses: 3908
% # Positive orientable unit clauses: 148
% # Positive unorientable unit clauses: 5
% # Negative unit clauses : 365
% # Non-unit-clauses : 3390
% # Current number of unprocessed clauses: 199703
% # ...number of literals in the above : 1094364
% # Clause-clause subsumption calls (NU) : 1101220
% # Rec. Clause-clause subsumption calls : 345499
% # Unit Clause-clause subsumption calls : 32314
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 220
% # Indexed BW rewrite successes : 100
% # Backwards rewriting index: 2567 leaves, 1.55+/-2.222 terms/leaf
% # Paramod-from index: 675 leaves, 1.22+/-0.892 terms/leaf
% # Paramod-into index: 2065 leaves, 1.48+/-2.041 terms/leaf
% # -------------------------------------------------
% # User time : 14.149 s
% # System time : 0.402 s
% # Total time : 14.551 s
% # Maximum resident set size: 0 pages
% PrfWatch: 20.43 CPU 20.63 WC
% FINAL PrfWatch: 20.43 CPU 20.64 WC
% SZS output end Solution for /tmp/SystemOnTPTP18836/SEU220+2.tptp
%
%------------------------------------------------------------------------------