TSTP Solution File: SEU014+1 by SRASS---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SRASS---0.1
% Problem  : SEU014+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 : 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 00:36:16 EST 2010

% Result   : Theorem 3.67s
% Output   : Solution 3.67s
% 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/SystemOnTPTP7023/SEU014+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM       ... 
% found
% SZS status THM for /tmp/SystemOnTPTP7023/SEU014+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP7023/SEU014+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 7119
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time     : 0.015 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 1.93 CPU 2.01 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,![X1]:![X2]:((relation(X1)&relation(X2))=>relation(relation_composition(X1,X2))),file('/tmp/SRASS.s.p', dt_k5_relat_1)).
% fof(2, axiom,![X1]:![X2]:((((relation(X1)&function(X1))&relation(X2))&function(X2))=>(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),file('/tmp/SRASS.s.p', fc1_funct_1)).
% fof(5, axiom,![X1]:(relation(X1)=>![X2]:(relation(X2)=>(subset(relation_rng(X1),relation_dom(X2))=>relation_dom(relation_composition(X1,X2))=relation_dom(X1)))),file('/tmp/SRASS.s.p', t46_relat_1)).
% fof(16, 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(17, 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(37, conjecture,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((one_to_one(relation_composition(X2,X1))&subset(relation_rng(X2),relation_dom(X1)))=>one_to_one(X2)))),file('/tmp/SRASS.s.p', t47_funct_1)).
% fof(38, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((one_to_one(relation_composition(X2,X1))&subset(relation_rng(X2),relation_dom(X1)))=>one_to_one(X2))))),inference(assume_negation,[status(cth)],[37])).
% fof(46, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(47, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[46])).
% cnf(48,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[47])).
% fof(49, plain,![X1]:![X2]:((((~(relation(X1))|~(function(X1)))|~(relation(X2)))|~(function(X2)))|(relation(relation_composition(X1,X2))&function(relation_composition(X1,X2)))),inference(fof_nnf,[status(thm)],[2])).
% fof(50, plain,![X3]:![X4]:((((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4)))|(relation(relation_composition(X3,X4))&function(relation_composition(X3,X4)))),inference(variable_rename,[status(thm)],[49])).
% fof(51, plain,![X3]:![X4]:((relation(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))&(function(relation_composition(X3,X4))|(((~(relation(X3))|~(function(X3)))|~(relation(X4)))|~(function(X4))))),inference(distribute,[status(thm)],[50])).
% cnf(52,plain,(function(relation_composition(X2,X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[51])).
% fof(60, plain,![X1]:(~(relation(X1))|![X2]:(~(relation(X2))|(~(subset(relation_rng(X1),relation_dom(X2)))|relation_dom(relation_composition(X1,X2))=relation_dom(X1)))),inference(fof_nnf,[status(thm)],[5])).
% fof(61, plain,![X3]:(~(relation(X3))|![X4]:(~(relation(X4))|(~(subset(relation_rng(X3),relation_dom(X4)))|relation_dom(relation_composition(X3,X4))=relation_dom(X3)))),inference(variable_rename,[status(thm)],[60])).
% fof(62, plain,![X3]:![X4]:((~(relation(X4))|(~(subset(relation_rng(X3),relation_dom(X4)))|relation_dom(relation_composition(X3,X4))=relation_dom(X3)))|~(relation(X3))),inference(shift_quantors,[status(thm)],[61])).
% cnf(63,plain,(relation_dom(relation_composition(X1,X2))=relation_dom(X1)|~relation(X1)|~subset(relation_rng(X1),relation_dom(X2))|~relation(X2)),inference(split_conjunct,[status(thm)],[62])).
% fof(104, 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)],[16])).
% fof(105, 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)],[104])).
% fof(106, 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(esk4_1(X4),relation_dom(X4))&in(esk5_1(X4),relation_dom(X4)))&apply(X4,esk4_1(X4))=apply(X4,esk5_1(X4)))&~(esk4_1(X4)=esk5_1(X4)))|one_to_one(X4)))),inference(skolemize,[status(esa)],[105])).
% fof(107, 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(esk4_1(X4),relation_dom(X4))&in(esk5_1(X4),relation_dom(X4)))&apply(X4,esk4_1(X4))=apply(X4,esk5_1(X4)))&~(esk4_1(X4)=esk5_1(X4)))|one_to_one(X4)))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[106])).
% fof(108, 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(esk4_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4))))&((in(esk5_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((apply(X4,esk4_1(X4))=apply(X4,esk5_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((~(esk4_1(X4)=esk5_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[107])).
% cnf(109,plain,(one_to_one(X1)|~function(X1)|~relation(X1)|esk4_1(X1)!=esk5_1(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(110,plain,(one_to_one(X1)|apply(X1,esk4_1(X1))=apply(X1,esk5_1(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(111,plain,(one_to_one(X1)|in(esk5_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(112,plain,(one_to_one(X1)|in(esk4_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[108])).
% cnf(113,plain,(X2=X3|~function(X1)|~relation(X1)|~one_to_one(X1)|apply(X1,X2)!=apply(X1,X3)|~in(X3,relation_dom(X1))|~in(X2,relation_dom(X1))),inference(split_conjunct,[status(thm)],[108])).
% fof(114, 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)],[17])).
% fof(115, 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)],[114])).
% fof(116, 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)],[115])).
% cnf(117,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)],[116])).
% fof(177, negated_conjecture,?[X1]:((relation(X1)&function(X1))&?[X2]:((relation(X2)&function(X2))&((one_to_one(relation_composition(X2,X1))&subset(relation_rng(X2),relation_dom(X1)))&~(one_to_one(X2))))),inference(fof_nnf,[status(thm)],[38])).
% fof(178, negated_conjecture,?[X3]:((relation(X3)&function(X3))&?[X4]:((relation(X4)&function(X4))&((one_to_one(relation_composition(X4,X3))&subset(relation_rng(X4),relation_dom(X3)))&~(one_to_one(X4))))),inference(variable_rename,[status(thm)],[177])).
% fof(179, negated_conjecture,((relation(esk12_0)&function(esk12_0))&((relation(esk13_0)&function(esk13_0))&((one_to_one(relation_composition(esk13_0,esk12_0))&subset(relation_rng(esk13_0),relation_dom(esk12_0)))&~(one_to_one(esk13_0))))),inference(skolemize,[status(esa)],[178])).
% cnf(180,negated_conjecture,(~one_to_one(esk13_0)),inference(split_conjunct,[status(thm)],[179])).
% cnf(181,negated_conjecture,(subset(relation_rng(esk13_0),relation_dom(esk12_0))),inference(split_conjunct,[status(thm)],[179])).
% cnf(182,negated_conjecture,(one_to_one(relation_composition(esk13_0,esk12_0))),inference(split_conjunct,[status(thm)],[179])).
% cnf(183,negated_conjecture,(function(esk13_0)),inference(split_conjunct,[status(thm)],[179])).
% cnf(184,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[179])).
% cnf(185,negated_conjecture,(function(esk12_0)),inference(split_conjunct,[status(thm)],[179])).
% cnf(186,negated_conjecture,(relation(esk12_0)),inference(split_conjunct,[status(thm)],[179])).
% cnf(225,negated_conjecture,(one_to_one(esk13_0)|esk5_1(esk13_0)!=esk4_1(esk13_0)|~relation(esk13_0)),inference(pm,[status(thm)],[109,183,theory(equality)])).
% cnf(228,negated_conjecture,(one_to_one(esk13_0)|esk5_1(esk13_0)!=esk4_1(esk13_0)|$false),inference(rw,[status(thm)],[225,184,theory(equality)])).
% cnf(229,negated_conjecture,(one_to_one(esk13_0)|esk5_1(esk13_0)!=esk4_1(esk13_0)),inference(cn,[status(thm)],[228,theory(equality)])).
% cnf(230,negated_conjecture,(esk5_1(esk13_0)!=esk4_1(esk13_0)),inference(sr,[status(thm)],[229,180,theory(equality)])).
% cnf(251,negated_conjecture,(relation(relation_composition(X1,esk12_0))|~relation(X1)),inference(pm,[status(thm)],[48,186,theory(equality)])).
% cnf(278,negated_conjecture,(function(relation_composition(esk13_0,X1))|~function(esk13_0)|~function(X1)|~relation(X1)),inference(pm,[status(thm)],[52,184,theory(equality)])).
% cnf(285,negated_conjecture,(function(relation_composition(esk13_0,X1))|$false|~function(X1)|~relation(X1)),inference(rw,[status(thm)],[278,183,theory(equality)])).
% cnf(286,negated_conjecture,(function(relation_composition(esk13_0,X1))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[285,theory(equality)])).
% cnf(291,negated_conjecture,(in(esk4_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)|~relation(esk13_0)),inference(pm,[status(thm)],[112,183,theory(equality)])).
% cnf(294,negated_conjecture,(in(esk4_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)|$false),inference(rw,[status(thm)],[291,184,theory(equality)])).
% cnf(295,negated_conjecture,(in(esk4_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)),inference(cn,[status(thm)],[294,theory(equality)])).
% cnf(296,negated_conjecture,(in(esk4_1(esk13_0),relation_dom(esk13_0))),inference(sr,[status(thm)],[295,180,theory(equality)])).
% cnf(301,negated_conjecture,(in(esk5_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)|~relation(esk13_0)),inference(pm,[status(thm)],[111,183,theory(equality)])).
% cnf(304,negated_conjecture,(in(esk5_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)|$false),inference(rw,[status(thm)],[301,184,theory(equality)])).
% cnf(305,negated_conjecture,(in(esk5_1(esk13_0),relation_dom(esk13_0))|one_to_one(esk13_0)),inference(cn,[status(thm)],[304,theory(equality)])).
% cnf(306,negated_conjecture,(in(esk5_1(esk13_0),relation_dom(esk13_0))),inference(sr,[status(thm)],[305,180,theory(equality)])).
% cnf(311,negated_conjecture,(apply(esk13_0,esk5_1(esk13_0))=apply(esk13_0,esk4_1(esk13_0))|one_to_one(esk13_0)|~relation(esk13_0)),inference(pm,[status(thm)],[110,183,theory(equality)])).
% cnf(314,negated_conjecture,(apply(esk13_0,esk5_1(esk13_0))=apply(esk13_0,esk4_1(esk13_0))|one_to_one(esk13_0)|$false),inference(rw,[status(thm)],[311,184,theory(equality)])).
% cnf(315,negated_conjecture,(apply(esk13_0,esk5_1(esk13_0))=apply(esk13_0,esk4_1(esk13_0))|one_to_one(esk13_0)),inference(cn,[status(thm)],[314,theory(equality)])).
% cnf(316,negated_conjecture,(apply(esk13_0,esk5_1(esk13_0))=apply(esk13_0,esk4_1(esk13_0))),inference(sr,[status(thm)],[315,180,theory(equality)])).
% cnf(321,negated_conjecture,(relation_dom(relation_composition(esk13_0,esk12_0))=relation_dom(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[63,181,theory(equality)])).
% cnf(322,negated_conjecture,(relation_dom(relation_composition(esk13_0,esk12_0))=relation_dom(esk13_0)|$false|~relation(esk13_0)),inference(rw,[status(thm)],[321,186,theory(equality)])).
% cnf(323,negated_conjecture,(relation_dom(relation_composition(esk13_0,esk12_0))=relation_dom(esk13_0)|$false|$false),inference(rw,[status(thm)],[322,184,theory(equality)])).
% cnf(324,negated_conjecture,(relation_dom(relation_composition(esk13_0,esk12_0))=relation_dom(esk13_0)),inference(cn,[status(thm)],[323,theory(equality)])).
% cnf(416,negated_conjecture,(apply(X1,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk4_1(esk13_0))|~function(X1)|~function(esk13_0)|~relation(X1)|~relation(esk13_0)),inference(pm,[status(thm)],[117,296,theory(equality)])).
% cnf(420,negated_conjecture,(apply(X1,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk4_1(esk13_0))|~function(X1)|$false|~relation(X1)|~relation(esk13_0)),inference(rw,[status(thm)],[416,183,theory(equality)])).
% cnf(421,negated_conjecture,(apply(X1,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk4_1(esk13_0))|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[420,184,theory(equality)])).
% cnf(422,negated_conjecture,(apply(X1,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk4_1(esk13_0))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[421,theory(equality)])).
% cnf(477,negated_conjecture,(apply(X1,apply(esk13_0,esk5_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk5_1(esk13_0))|~function(X1)|~function(esk13_0)|~relation(X1)|~relation(esk13_0)),inference(pm,[status(thm)],[117,306,theory(equality)])).
% cnf(481,negated_conjecture,(apply(X1,apply(esk13_0,esk5_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk5_1(esk13_0))|~function(X1)|$false|~relation(X1)|~relation(esk13_0)),inference(rw,[status(thm)],[477,183,theory(equality)])).
% cnf(482,negated_conjecture,(apply(X1,apply(esk13_0,esk5_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk5_1(esk13_0))|~function(X1)|$false|~relation(X1)|$false),inference(rw,[status(thm)],[481,184,theory(equality)])).
% cnf(483,negated_conjecture,(apply(X1,apply(esk13_0,esk5_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk5_1(esk13_0))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(584,negated_conjecture,(relation(relation_composition(esk13_0,esk12_0))),inference(pm,[status(thm)],[251,184,theory(equality)])).
% cnf(727,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk4_1(esk13_0))|~relation(esk12_0)),inference(pm,[status(thm)],[422,185,theory(equality)])).
% cnf(732,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk4_1(esk13_0))|$false),inference(rw,[status(thm)],[727,186,theory(equality)])).
% cnf(733,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk4_1(esk13_0))),inference(cn,[status(thm)],[732,theory(equality)])).
% cnf(738,negated_conjecture,(apply(X1,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,X1),esk5_1(esk13_0))|~function(X1)|~relation(X1)),inference(rw,[status(thm)],[483,316,theory(equality)])).
% cnf(740,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk5_1(esk13_0))|~relation(esk12_0)),inference(pm,[status(thm)],[738,185,theory(equality)])).
% cnf(745,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk5_1(esk13_0))|$false),inference(rw,[status(thm)],[740,186,theory(equality)])).
% cnf(746,negated_conjecture,(apply(esk12_0,apply(esk13_0,esk4_1(esk13_0)))=apply(relation_composition(esk13_0,esk12_0),esk5_1(esk13_0))),inference(cn,[status(thm)],[745,theory(equality)])).
% cnf(778,negated_conjecture,(apply(relation_composition(esk13_0,esk12_0),esk4_1(esk13_0))=apply(relation_composition(esk13_0,esk12_0),esk5_1(esk13_0))),inference(rw,[status(thm)],[746,733,theory(equality)])).
% cnf(953,negated_conjecture,(function(relation_composition(esk13_0,esk12_0))|~function(esk12_0)),inference(pm,[status(thm)],[286,186,theory(equality)])).
% cnf(986,negated_conjecture,(function(relation_composition(esk13_0,esk12_0))|$false),inference(rw,[status(thm)],[953,185,theory(equality)])).
% cnf(987,negated_conjecture,(function(relation_composition(esk13_0,esk12_0))),inference(cn,[status(thm)],[986,theory(equality)])).
% cnf(2319,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(relation_composition(esk13_0,esk12_0)))|~one_to_one(relation_composition(esk13_0,esk12_0))|~function(relation_composition(esk13_0,esk12_0))|~relation(relation_composition(esk13_0,esk12_0))),inference(pm,[status(thm)],[113,324,theory(equality)])).
% cnf(2327,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(esk13_0))|~one_to_one(relation_composition(esk13_0,esk12_0))|~function(relation_composition(esk13_0,esk12_0))|~relation(relation_composition(esk13_0,esk12_0))),inference(rw,[status(thm)],[2319,324,theory(equality)])).
% cnf(2328,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(esk13_0))|$false|~function(relation_composition(esk13_0,esk12_0))|~relation(relation_composition(esk13_0,esk12_0))),inference(rw,[status(thm)],[2327,182,theory(equality)])).
% cnf(2329,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(esk13_0))|$false|$false|~relation(relation_composition(esk13_0,esk12_0))),inference(rw,[status(thm)],[2328,987,theory(equality)])).
% cnf(2330,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(esk13_0))|$false|$false|$false),inference(rw,[status(thm)],[2329,584,theory(equality)])).
% cnf(2331,negated_conjecture,(X1=X2|~in(X2,relation_dom(esk13_0))|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),X2)|~in(X1,relation_dom(esk13_0))),inference(cn,[status(thm)],[2330,theory(equality)])).
% cnf(88625,negated_conjecture,(X1=esk5_1(esk13_0)|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),esk5_1(esk13_0))|~in(X1,relation_dom(esk13_0))),inference(pm,[status(thm)],[2331,306,theory(equality)])).
% cnf(88628,negated_conjecture,(X1=esk5_1(esk13_0)|apply(relation_composition(esk13_0,esk12_0),X1)!=apply(relation_composition(esk13_0,esk12_0),esk4_1(esk13_0))|~in(X1,relation_dom(esk13_0))),inference(rw,[status(thm)],[88625,778,theory(equality)])).
% cnf(88630,negated_conjecture,(esk4_1(esk13_0)=esk5_1(esk13_0)),inference(pm,[status(thm)],[88628,296,theory(equality)])).
% cnf(88632,negated_conjecture,($false),inference(sr,[status(thm)],[88630,230,theory(equality)])).
% cnf(88633,negated_conjecture,($false),88632,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses                  : 2071
% # ...of these trivial                : 81
% # ...subsumed                        : 458
% # ...remaining for further processing: 1532
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed                  : 0
% # Backward-rewritten                 : 534
% # Generated clauses                  : 84056
% # ...of the previous two non-trivial : 83819
% # Contextual simplify-reflections    : 0
% # Paramodulations                    : 84048
% # Factorizations                     : 0
% # Equation resolutions               : 2
% # Current number of processed clauses: 998
% #    Positive orientable unit clauses: 472
% #    Positive unorientable unit clauses: 0
% #    Negative unit clauses           : 14
% #    Non-unit-clauses                : 512
% # Current number of unprocessed clauses: 29863
% # ...number of literals in the above : 48430
% # Clause-clause subsumption calls (NU) : 3703
% # Rec. Clause-clause subsumption calls : 3593
% # Unit Clause-clause subsumption calls : 171
% # Rewrite failures with RHS unbound  : 0
% # Indexed BW rewrite attempts        : 6888
% # Indexed BW rewrite successes       : 135
% # Backwards rewriting index:   888 leaves,   1.71+/-3.856 terms/leaf
% # Paramod-from index:          267 leaves,   2.20+/-4.808 terms/leaf
% # Paramod-into index:          686 leaves,   1.52+/-3.088 terms/leaf
% # -------------------------------------------------
% # User time              : 1.518 s
% # System time            : 0.072 s
% # Total time             : 1.590 s
% # Maximum resident set size: 0 pages
% PrfWatch: 2.83 CPU 2.92 WC
% FINAL PrfWatch: 2.83 CPU 2.92 WC
% SZS output end Solution for /tmp/SystemOnTPTP7023/SEU014+1.tptp
% 
%------------------------------------------------------------------------------