TSTP Solution File: SEU044+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU044+1 : TPTP v5.0.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s

% Computer : art01.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 00:43:03 EST 2010

% Result   : Theorem 1.13s
% Output   : Solution 1.13s
% 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/SystemOnTPTP17845/SEU044+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP17845/SEU044+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP17845/SEU044+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 17941
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time     : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(2, axiom,![X1]:![X2]:(relation(X2)=>relation(relation_rng_restriction(X1,X2))),file('/tmp/SRASS.s.p', dt_k8_relat_1)).
% fof(3, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>(relation(relation_rng_restriction(X1,X2))&function(relation_rng_restriction(X1,X2)))),file('/tmp/SRASS.s.p', fc5_funct_1)).
% fof(5, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(X2=relation_rng_restriction(X1,X3)<=>(![X4]:(in(X4,relation_dom(X2))<=>(in(X4,relation_dom(X3))&in(apply(X3,X4),X1)))&![X4]:(in(X4,relation_dom(X2))=>apply(X2,X4)=apply(X3,X4)))))),file('/tmp/SRASS.s.p', t85_funct_1)).
% fof(34, conjecture,![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(in(X2,relation_dom(relation_rng_restriction(X1,X3)))<=>(in(X2,relation_dom(X3))&in(apply(X3,X2),X1)))),file('/tmp/SRASS.s.p', t86_funct_1)).
% fof(35, negated_conjecture,~(![X1]:![X2]:![X3]:((relation(X3)&function(X3))=>(in(X2,relation_dom(relation_rng_restriction(X1,X3)))<=>(in(X2,relation_dom(X3))&in(apply(X3,X2),X1))))),inference(assume_negation,[status(cth)],[34])).
% fof(45, plain,![X1]:![X2]:(~(relation(X2))|relation(relation_rng_restriction(X1,X2))),inference(fof_nnf,[status(thm)],[2])).
% fof(46, plain,![X3]:![X4]:(~(relation(X4))|relation(relation_rng_restriction(X3,X4))),inference(variable_rename,[status(thm)],[45])).
% cnf(47,plain,(relation(relation_rng_restriction(X1,X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[46])).
% fof(48, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|(relation(relation_rng_restriction(X1,X2))&function(relation_rng_restriction(X1,X2)))),inference(fof_nnf,[status(thm)],[3])).
% fof(49, plain,![X3]:![X4]:((~(relation(X4))|~(function(X4)))|(relation(relation_rng_restriction(X3,X4))&function(relation_rng_restriction(X3,X4)))),inference(variable_rename,[status(thm)],[48])).
% fof(50, plain,![X3]:![X4]:((relation(relation_rng_restriction(X3,X4))|(~(relation(X4))|~(function(X4))))&(function(relation_rng_restriction(X3,X4))|(~(relation(X4))|~(function(X4))))),inference(distribute,[status(thm)],[49])).
% cnf(51,plain,(function(relation_rng_restriction(X2,X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(57, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|((~(X2=relation_rng_restriction(X1,X3))|(![X4]:((~(in(X4,relation_dom(X2)))|(in(X4,relation_dom(X3))&in(apply(X3,X4),X1)))&((~(in(X4,relation_dom(X3)))|~(in(apply(X3,X4),X1)))|in(X4,relation_dom(X2))))&![X4]:(~(in(X4,relation_dom(X2)))|apply(X2,X4)=apply(X3,X4))))&((?[X4]:((~(in(X4,relation_dom(X2)))|(~(in(X4,relation_dom(X3)))|~(in(apply(X3,X4),X1))))&(in(X4,relation_dom(X2))|(in(X4,relation_dom(X3))&in(apply(X3,X4),X1))))|?[X4]:(in(X4,relation_dom(X2))&~(apply(X2,X4)=apply(X3,X4))))|X2=relation_rng_restriction(X1,X3))))),inference(fof_nnf,[status(thm)],[5])).
% fof(58, plain,![X5]:![X6]:((~(relation(X6))|~(function(X6)))|![X7]:((~(relation(X7))|~(function(X7)))|((~(X6=relation_rng_restriction(X5,X7))|(![X8]:((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6))))&![X9]:(~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))))&((?[X10]:((~(in(X10,relation_dom(X6)))|(~(in(X10,relation_dom(X7)))|~(in(apply(X7,X10),X5))))&(in(X10,relation_dom(X6))|(in(X10,relation_dom(X7))&in(apply(X7,X10),X5))))|?[X11]:(in(X11,relation_dom(X6))&~(apply(X6,X11)=apply(X7,X11))))|X6=relation_rng_restriction(X5,X7))))),inference(variable_rename,[status(thm)],[57])).
% fof(59, plain,![X5]:![X6]:((~(relation(X6))|~(function(X6)))|![X7]:((~(relation(X7))|~(function(X7)))|((~(X6=relation_rng_restriction(X5,X7))|(![X8]:((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6))))&![X9]:(~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))))&((((~(in(esk2_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk2_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk2_3(X5,X6,X7)),X5))))&(in(esk2_3(X5,X6,X7),relation_dom(X6))|(in(esk2_3(X5,X6,X7),relation_dom(X7))&in(apply(X7,esk2_3(X5,X6,X7)),X5))))|(in(esk3_3(X5,X6,X7),relation_dom(X6))&~(apply(X6,esk3_3(X5,X6,X7))=apply(X7,esk3_3(X5,X6,X7)))))|X6=relation_rng_restriction(X5,X7))))),inference(skolemize,[status(esa)],[58])).
% fof(60, plain,![X5]:![X6]:![X7]:![X8]:![X9]:((((((~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))&((~(in(X8,relation_dom(X6)))|(in(X8,relation_dom(X7))&in(apply(X7,X8),X5)))&((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6)))))|~(X6=relation_rng_restriction(X5,X7)))&((((~(in(esk2_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk2_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk2_3(X5,X6,X7)),X5))))&(in(esk2_3(X5,X6,X7),relation_dom(X6))|(in(esk2_3(X5,X6,X7),relation_dom(X7))&in(apply(X7,esk2_3(X5,X6,X7)),X5))))|(in(esk3_3(X5,X6,X7),relation_dom(X6))&~(apply(X6,esk3_3(X5,X6,X7))=apply(X7,esk3_3(X5,X6,X7)))))|X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))),inference(shift_quantors,[status(thm)],[59])).
% fof(61, plain,![X5]:![X6]:![X7]:![X8]:![X9]:((((((~(in(X9,relation_dom(X6)))|apply(X6,X9)=apply(X7,X9))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((((in(X8,relation_dom(X7))|~(in(X8,relation_dom(X6))))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((in(apply(X7,X8),X5)|~(in(X8,relation_dom(X6))))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&(((((~(in(X8,relation_dom(X7)))|~(in(apply(X7,X8),X5)))|in(X8,relation_dom(X6)))|~(X6=relation_rng_restriction(X5,X7)))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))))&((((((in(esk3_3(X5,X6,X7),relation_dom(X6))|(~(in(esk2_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk2_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk2_3(X5,X6,X7)),X5)))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk3_3(X5,X6,X7))=apply(X7,esk3_3(X5,X6,X7)))|(~(in(esk2_3(X5,X6,X7),relation_dom(X6)))|(~(in(esk2_3(X5,X6,X7),relation_dom(X7)))|~(in(apply(X7,esk2_3(X5,X6,X7)),X5)))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&((((((in(esk3_3(X5,X6,X7),relation_dom(X6))|(in(esk2_3(X5,X6,X7),relation_dom(X7))|in(esk2_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk3_3(X5,X6,X7))=apply(X7,esk3_3(X5,X6,X7)))|(in(esk2_3(X5,X6,X7),relation_dom(X7))|in(esk2_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))&(((((in(esk3_3(X5,X6,X7),relation_dom(X6))|(in(apply(X7,esk2_3(X5,X6,X7)),X5)|in(esk2_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6))))&((((~(apply(X6,esk3_3(X5,X6,X7))=apply(X7,esk3_3(X5,X6,X7)))|(in(apply(X7,esk2_3(X5,X6,X7)),X5)|in(esk2_3(X5,X6,X7),relation_dom(X6))))|X6=relation_rng_restriction(X5,X7))|(~(relation(X7))|~(function(X7))))|(~(relation(X6))|~(function(X6)))))))),inference(distribute,[status(thm)],[60])).
% cnf(68,plain,(in(X4,relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|X1!=relation_rng_restriction(X3,X2)|~in(apply(X2,X4),X3)|~in(X4,relation_dom(X2))),inference(split_conjunct,[status(thm)],[61])).
% cnf(69,plain,(in(apply(X2,X4),X3)|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|X1!=relation_rng_restriction(X3,X2)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[61])).
% cnf(70,plain,(in(X4,relation_dom(X2))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|X1!=relation_rng_restriction(X3,X2)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[61])).
% fof(168, negated_conjecture,?[X1]:?[X2]:?[X3]:((relation(X3)&function(X3))&((~(in(X2,relation_dom(relation_rng_restriction(X1,X3))))|(~(in(X2,relation_dom(X3)))|~(in(apply(X3,X2),X1))))&(in(X2,relation_dom(relation_rng_restriction(X1,X3)))|(in(X2,relation_dom(X3))&in(apply(X3,X2),X1))))),inference(fof_nnf,[status(thm)],[35])).
% fof(169, negated_conjecture,?[X4]:?[X5]:?[X6]:((relation(X6)&function(X6))&((~(in(X5,relation_dom(relation_rng_restriction(X4,X6))))|(~(in(X5,relation_dom(X6)))|~(in(apply(X6,X5),X4))))&(in(X5,relation_dom(relation_rng_restriction(X4,X6)))|(in(X5,relation_dom(X6))&in(apply(X6,X5),X4))))),inference(variable_rename,[status(thm)],[168])).
% fof(170, negated_conjecture,((relation(esk16_0)&function(esk16_0))&((~(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0))))|(~(in(esk15_0,relation_dom(esk16_0)))|~(in(apply(esk16_0,esk15_0),esk14_0))))&(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|(in(esk15_0,relation_dom(esk16_0))&in(apply(esk16_0,esk15_0),esk14_0))))),inference(skolemize,[status(esa)],[169])).
% fof(171, negated_conjecture,((relation(esk16_0)&function(esk16_0))&((~(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0))))|(~(in(esk15_0,relation_dom(esk16_0)))|~(in(apply(esk16_0,esk15_0),esk14_0))))&((in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0))))&(in(apply(esk16_0,esk15_0),esk14_0)|in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0))))))),inference(distribute,[status(thm)],[170])).
% cnf(172,negated_conjecture,(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|in(apply(esk16_0,esk15_0),esk14_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,negated_conjecture,(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|in(esk15_0,relation_dom(esk16_0))),inference(split_conjunct,[status(thm)],[171])).
% cnf(174,negated_conjecture,(~in(apply(esk16_0,esk15_0),esk14_0)|~in(esk15_0,relation_dom(esk16_0))|~in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))),inference(split_conjunct,[status(thm)],[171])).
% cnf(175,negated_conjecture,(function(esk16_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(176,negated_conjecture,(relation(esk16_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(240,negated_conjecture,(in(esk15_0,relation_dom(X1))|in(esk15_0,relation_dom(esk16_0))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~function(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))),inference(spm,[status(thm)],[70,173,theory(equality)])).
% cnf(243,negated_conjecture,(in(apply(X1,esk15_0),X2)|in(apply(esk16_0,esk15_0),esk14_0)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~function(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))),inference(spm,[status(thm)],[69,172,theory(equality)])).
% cnf(460,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|~function(esk16_0)|~relation(esk16_0)),inference(spm,[status(thm)],[240,51,theory(equality)])).
% cnf(461,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|$false|~relation(esk16_0)),inference(rw,[status(thm)],[460,175,theory(equality)])).
% cnf(462,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|$false|$false),inference(rw,[status(thm)],[461,176,theory(equality)])).
% cnf(463,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)),inference(cn,[status(thm)],[462,theory(equality)])).
% cnf(464,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)|~relation(esk16_0)),inference(spm,[status(thm)],[463,47,theory(equality)])).
% cnf(465,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)|$false),inference(rw,[status(thm)],[464,176,theory(equality)])).
% cnf(466,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|in(esk15_0,relation_dom(X1))|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[465,theory(equality)])).
% cnf(467,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|~function(esk16_0)|~relation(esk16_0)),inference(er,[status(thm)],[466,theory(equality)])).
% cnf(468,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|$false|~relation(esk16_0)),inference(rw,[status(thm)],[467,175,theory(equality)])).
% cnf(469,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))|$false|$false),inference(rw,[status(thm)],[468,176,theory(equality)])).
% cnf(470,negated_conjecture,(in(esk15_0,relation_dom(esk16_0))),inference(cn,[status(thm)],[469,theory(equality)])).
% cnf(481,negated_conjecture,(~in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|~in(apply(esk16_0,esk15_0),esk14_0)|$false),inference(rw,[status(thm)],[174,470,theory(equality)])).
% cnf(482,negated_conjecture,(~in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|~in(apply(esk16_0,esk15_0),esk14_0)),inference(cn,[status(thm)],[481,theory(equality)])).
% cnf(550,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|~function(esk16_0)|~relation(esk16_0)),inference(spm,[status(thm)],[243,51,theory(equality)])).
% cnf(551,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|$false|~relation(esk16_0)),inference(rw,[status(thm)],[550,175,theory(equality)])).
% cnf(552,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)|$false|$false),inference(rw,[status(thm)],[551,176,theory(equality)])).
% cnf(553,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(relation_rng_restriction(esk14_0,esk16_0))|~relation(X1)),inference(cn,[status(thm)],[552,theory(equality)])).
% cnf(594,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)|~relation(esk16_0)),inference(spm,[status(thm)],[553,47,theory(equality)])).
% cnf(595,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)|$false),inference(rw,[status(thm)],[594,176,theory(equality)])).
% cnf(596,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|in(apply(X1,esk15_0),X2)|relation_rng_restriction(X2,X1)!=relation_rng_restriction(esk14_0,esk16_0)|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[595,theory(equality)])).
% cnf(597,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|~function(esk16_0)|~relation(esk16_0)),inference(er,[status(thm)],[596,theory(equality)])).
% cnf(598,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|$false|~relation(esk16_0)),inference(rw,[status(thm)],[597,175,theory(equality)])).
% cnf(599,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)|$false|$false),inference(rw,[status(thm)],[598,176,theory(equality)])).
% cnf(600,negated_conjecture,(in(apply(esk16_0,esk15_0),esk14_0)),inference(cn,[status(thm)],[599,theory(equality)])).
% cnf(603,negated_conjecture,(in(esk15_0,relation_dom(X1))|relation_rng_restriction(esk14_0,esk16_0)!=X1|~function(esk16_0)|~function(X1)|~relation(esk16_0)|~relation(X1)|~in(esk15_0,relation_dom(esk16_0))),inference(spm,[status(thm)],[68,600,theory(equality)])).
% cnf(608,negated_conjecture,(~in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|$false),inference(rw,[status(thm)],[482,600,theory(equality)])).
% cnf(609,negated_conjecture,(~in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))),inference(cn,[status(thm)],[608,theory(equality)])).
% cnf(612,negated_conjecture,(in(esk15_0,relation_dom(X1))|relation_rng_restriction(esk14_0,esk16_0)!=X1|$false|~function(X1)|~relation(esk16_0)|~relation(X1)|~in(esk15_0,relation_dom(esk16_0))),inference(rw,[status(thm)],[603,175,theory(equality)])).
% cnf(613,negated_conjecture,(in(esk15_0,relation_dom(X1))|relation_rng_restriction(esk14_0,esk16_0)!=X1|$false|~function(X1)|$false|~relation(X1)|~in(esk15_0,relation_dom(esk16_0))),inference(rw,[status(thm)],[612,176,theory(equality)])).
% cnf(614,negated_conjecture,(in(esk15_0,relation_dom(X1))|relation_rng_restriction(esk14_0,esk16_0)!=X1|$false|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[613,470,theory(equality)])).
% cnf(615,negated_conjecture,(in(esk15_0,relation_dom(X1))|relation_rng_restriction(esk14_0,esk16_0)!=X1|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[614,theory(equality)])).
% cnf(627,negated_conjecture,(in(esk15_0,relation_dom(relation_rng_restriction(esk14_0,esk16_0)))|~function(relation_rng_restriction(esk14_0,esk16_0))|~relation(relation_rng_restriction(esk14_0,esk16_0))),inference(er,[status(thm)],[615,theory(equality)])).
% cnf(628,negated_conjecture,(~function(relation_rng_restriction(esk14_0,esk16_0))|~relation(relation_rng_restriction(esk14_0,esk16_0))),inference(sr,[status(thm)],[627,609,theory(equality)])).
% cnf(629,negated_conjecture,(~relation(relation_rng_restriction(esk14_0,esk16_0))|~function(esk16_0)|~relation(esk16_0)),inference(spm,[status(thm)],[628,51,theory(equality)])).
% cnf(630,negated_conjecture,(~relation(relation_rng_restriction(esk14_0,esk16_0))|$false|~relation(esk16_0)),inference(rw,[status(thm)],[629,175,theory(equality)])).
% cnf(631,negated_conjecture,(~relation(relation_rng_restriction(esk14_0,esk16_0))|$false|$false),inference(rw,[status(thm)],[630,176,theory(equality)])).
% cnf(632,negated_conjecture,(~relation(relation_rng_restriction(esk14_0,esk16_0))),inference(cn,[status(thm)],[631,theory(equality)])).
% cnf(633,negated_conjecture,(~relation(esk16_0)),inference(spm,[status(thm)],[632,47,theory(equality)])).
% cnf(634,negated_conjecture,($false),inference(rw,[status(thm)],[633,176,theory(equality)])).
% cnf(635,negated_conjecture,($false),inference(cn,[status(thm)],[634,theory(equality)])).
% cnf(636,negated_conjecture,($false),635,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 279
% # ...of these trivial                : 3
% # ...subsumed                        : 73
% # ...remaining for further processing: 203
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 6
% # Backward-rewritten                 : 28
% # Generated clauses                  : 263
% # ...of the previous two non-trivial : 235
% # Contextual simplify-reflections    : 53
% # Paramodulations                    : 253
% # Factorizations                     : 0
% # Equation resolutions               : 7
% # Current number of processed clauses: 109
% #    Positive orientable unit clauses: 29
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 15
% #    Non-unit-clauses                : 65
% # Current number of unprocessed clauses: 60
% # ...number of literals in the above : 398
% # Clause-clause subsumption calls (NU) : 790
% # Rec. Clause-clause subsumption calls : 545
% # Unit Clause-clause subsumption calls : 135
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 10
% # Indexed BW rewrite successes       : 7
% # Backwards rewriting index:   113 leaves,   1.37+/-0.933 terms/leaf
% # Paramod-from index:           49 leaves,   1.04+/-0.198 terms/leaf
% # Paramod-into index:          105 leaves,   1.19+/-0.480 terms/leaf
% # -------------------------------------------------
% # User time              : 0.034 s
% # System time            : 0.005 s
% # Total time             : 0.039 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.14 CPU 0.25 WC
% FINAL PrfWatch: 0.14 CPU 0.25 WC
% SZS output end Solution for /tmp/SystemOnTPTP17845/SEU044+1.tptp
% 
%------------------------------------------------------------------------------