TSTP Solution File: SEU221+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU221+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 02:04:58 EST 2010
% Result : Theorem 43.12s
% Output : Solution 43.12s
% 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/SystemOnTPTP811/SEU221+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP811/SEU221+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP811/SEU221+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 948
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.94 CPU 2.01 WC
% PrfWatch: 3.92 CPU 4.02 WC
% PrfWatch: 5.74 CPU 6.03 WC
% PrfWatch: 7.60 CPU 8.03 WC
% PrfWatch: 9.60 CPU 10.04 WC
% PrfWatch: 11.59 CPU 12.05 WC
% PrfWatch: 13.59 CPU 14.05 WC
% PrfWatch: 15.58 CPU 16.06 WC
% PrfWatch: 17.57 CPU 18.07 WC
% PrfWatch: 19.57 CPU 20.07 WC
% PrfWatch: 21.56 CPU 22.08 WC
% PrfWatch: 23.38 CPU 24.09 WC
% PrfWatch: 25.23 CPU 26.09 WC
% PrfWatch: 27.23 CPU 28.10 WC
% PrfWatch: 29.21 CPU 30.11 WC
% PrfWatch: 31.20 CPU 32.11 WC
% # Preprocessing time : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 32.82 CPU 34.12 WC
% PrfWatch: 34.82 CPU 36.12 WC
% PrfWatch: 36.82 CPU 38.13 WC
% PrfWatch: 38.81 CPU 40.14 WC
% PrfWatch: 40.80 CPU 42.14 WC
% # 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(17, 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(39, 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(40, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>(one_to_one(X1)=>one_to_one(function_inverse(X1))))),inference(assume_negation,[status(cth)],[39])).
% fof(46, plain,![X1]:((~(relation(X1))|~(function(X1)))|(relation(function_inverse(X1))&function(function_inverse(X1)))),inference(fof_nnf,[status(thm)],[1])).
% fof(47, plain,![X2]:((~(relation(X2))|~(function(X2)))|(relation(function_inverse(X2))&function(function_inverse(X2)))),inference(variable_rename,[status(thm)],[46])).
% fof(48, plain,![X2]:((relation(function_inverse(X2))|(~(relation(X2))|~(function(X2))))&(function(function_inverse(X2))|(~(relation(X2))|~(function(X2))))),inference(distribute,[status(thm)],[47])).
% cnf(49,plain,(function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[48])).
% cnf(50,plain,(relation(function_inverse(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[48])).
% fof(102, 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(103, 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)],[102])).
% fof(104, 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)],[103])).
% fof(105, 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)],[104])).
% fof(106, 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)],[105])).
% cnf(116,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)],[106])).
% cnf(119,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)],[106])).
% fof(121, 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(122, 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)],[121])).
% fof(123, 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)],[122])).
% cnf(125,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)],[123])).
% fof(126, 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)],[17])).
% fof(127, 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)],[126])).
% fof(128, 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)],[127])).
% fof(129, 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)],[128])).
% fof(130, 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)],[129])).
% cnf(131,plain,(one_to_one(X1)|~function(X1)|~relation(X1)|esk10_1(X1)!=esk11_1(X1)),inference(split_conjunct,[status(thm)],[130])).
% cnf(132,plain,(one_to_one(X1)|apply(X1,esk10_1(X1))=apply(X1,esk11_1(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[130])).
% cnf(133,plain,(one_to_one(X1)|in(esk11_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[130])).
% cnf(134,plain,(one_to_one(X1)|in(esk10_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(195, negated_conjecture,?[X1]:((relation(X1)&function(X1))&(one_to_one(X1)&~(one_to_one(function_inverse(X1))))),inference(fof_nnf,[status(thm)],[40])).
% fof(196, negated_conjecture,?[X2]:((relation(X2)&function(X2))&(one_to_one(X2)&~(one_to_one(function_inverse(X2))))),inference(variable_rename,[status(thm)],[195])).
% fof(197, negated_conjecture,((relation(esk14_0)&function(esk14_0))&(one_to_one(esk14_0)&~(one_to_one(function_inverse(esk14_0))))),inference(skolemize,[status(esa)],[196])).
% cnf(198,negated_conjecture,(~one_to_one(function_inverse(esk14_0))),inference(split_conjunct,[status(thm)],[197])).
% cnf(199,negated_conjecture,(one_to_one(esk14_0)),inference(split_conjunct,[status(thm)],[197])).
% cnf(200,negated_conjecture,(function(esk14_0)),inference(split_conjunct,[status(thm)],[197])).
% cnf(201,negated_conjecture,(relation(esk14_0)),inference(split_conjunct,[status(thm)],[197])).
% cnf(304,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)],[116,theory(equality)])).
% cnf(327,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~in(X3,relation_rng(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(function_inverse(X1))|~relation(X1)),inference(er,[status(thm)],[119,theory(equality)])).
% cnf(873,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)],[304,50])).
% cnf(874,plain,(relation_dom(function_inverse(X1))=relation_rng(X1)|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[873,49])).
% cnf(878,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)],[134,874,theory(equality)])).
% cnf(879,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)],[133,874,theory(equality)])).
% cnf(2555,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~in(X3,relation_rng(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[327,50])).
% cnf(2556,plain,(apply(X1,X2)=X3|apply(function_inverse(X1),X3)!=X2|~in(X3,relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[2555,49])).
% cnf(2579,plain,(apply(X1,X2)=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|apply(function_inverse(X1),esk10_1(function_inverse(X1)))!=X2|~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)],[2556,132,theory(equality)])).
% cnf(14880,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)],[878,50])).
% cnf(14881,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)],[14880,49])).
% cnf(14885,plain,(apply(X1,apply(function_inverse(X1),esk10_1(function_inverse(X1))))=esk10_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(spm,[status(thm)],[125,14881,theory(equality)])).
% cnf(14945,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)],[879,50])).
% cnf(14946,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)],[14945,49])).
% cnf(42382,plain,(apply(X1,X2)=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|apply(function_inverse(X1),esk10_1(function_inverse(X1)))!=X2|~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)],[2579,50])).
% cnf(42383,plain,(apply(X1,X2)=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|apply(function_inverse(X1),esk10_1(function_inverse(X1)))!=X2|~in(esk11_1(function_inverse(X1)),relation_rng(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[42382,49])).
% cnf(42384,plain,(apply(X1,X2)=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|apply(function_inverse(X1),esk10_1(function_inverse(X1)))!=X2|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[42383,14946])).
% cnf(42385,plain,(apply(X1,apply(function_inverse(X1),esk10_1(function_inverse(X1))))=esk11_1(function_inverse(X1))|one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(er,[status(thm)],[42384,theory(equality)])).
% cnf(679546,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(spm,[status(thm)],[14885,42385,theory(equality)])).
% cnf(679719,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)],[131,679546,theory(equality)])).
% cnf(679983,plain,(one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(function_inverse(X1))|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[679719,50])).
% cnf(679984,plain,(one_to_one(function_inverse(X1))|~one_to_one(X1)|~function(X1)|~relation(X1)),inference(csr,[status(thm)],[679983,49])).
% cnf(679985,negated_conjecture,(~one_to_one(esk14_0)|~function(esk14_0)|~relation(esk14_0)),inference(spm,[status(thm)],[198,679984,theory(equality)])).
% cnf(680049,negated_conjecture,($false|~function(esk14_0)|~relation(esk14_0)),inference(rw,[status(thm)],[679985,199,theory(equality)])).
% cnf(680050,negated_conjecture,($false|$false|~relation(esk14_0)),inference(rw,[status(thm)],[680049,200,theory(equality)])).
% cnf(680051,negated_conjecture,($false|$false|$false),inference(rw,[status(thm)],[680050,201,theory(equality)])).
% cnf(680052,negated_conjecture,($false),inference(cn,[status(thm)],[680051,theory(equality)])).
% cnf(680053,negated_conjecture,($false),680052,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 95603
% # ...of these trivial : 4
% # ...subsumed : 93045
% # ...remaining for further processing: 2554
% # Other redundant clauses eliminated : 2418
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 440
% # Backward-rewritten : 9
% # Generated clauses : 489410
% # ...of the previous two non-trivial : 484924
% # Contextual simplify-reflections : 166743
% # Paramodulations : 486462
% # Factorizations : 0
% # Equation resolutions : 2948
% # Current number of processed clauses: 2105
% # Positive orientable unit clauses: 19
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 5
% # Non-unit-clauses : 2081
% # Current number of unprocessed clauses: 317172
% # ...number of literals in the above : 2814079
% # Clause-clause subsumption calls (NU) : 5646372
% # Rec. Clause-clause subsumption calls : 4282973
% # Unit Clause-clause subsumption calls : 1
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 3
% # Indexed BW rewrite successes : 3
% # Backwards rewriting index: 412 leaves, 2.70+/-3.925 terms/leaf
% # Paramod-from index: 91 leaves, 2.84+/-5.585 terms/leaf
% # Paramod-into index: 216 leaves, 2.67+/-4.227 terms/leaf
% # -------------------------------------------------
% # User time : 31.902 s
% # System time : 0.600 s
% # Total time : 32.502 s
% # Maximum resident set size: 0 pages
% PrfWatch: 41.93 CPU 43.27 WC
% FINAL PrfWatch: 41.93 CPU 43.27 WC
% SZS output end Solution for /tmp/SystemOnTPTP811/SEU221+1.tptp
%
%------------------------------------------------------------------------------