TSTP Solution File: SEU013+1 by SRASS---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU013+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 00:36:09 EST 2010
% Result : Theorem 8.26s
% Output : Solution 8.26s
% 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/SystemOnTPTP10376/SEU013+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP10376/SEU013+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP10376/SEU013+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 10472
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% PrfWatch: 1.95 CPU 2.02 WC
% PrfWatch: 3.93 CPU 4.03 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.92 CPU 6.03 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(13, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))<=>(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2)))))),file('/tmp/SRASS.s.p', t21_funct_1)).
% fof(14, 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(15, axiom,![X1]:![X2]:((relation(X2)&function(X2))=>![X3]:((relation(X3)&function(X3))=>(in(X1,relation_dom(relation_composition(X3,X2)))=>apply(relation_composition(X3,X2),X1)=apply(X2,apply(X3,X1))))),file('/tmp/SRASS.s.p', t22_funct_1)).
% fof(35, conjecture,![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((one_to_one(X1)&one_to_one(X2))=>one_to_one(relation_composition(X1,X2))))),file('/tmp/SRASS.s.p', t46_funct_1)).
% fof(36, negated_conjecture,~(![X1]:((relation(X1)&function(X1))=>![X2]:((relation(X2)&function(X2))=>((one_to_one(X1)&one_to_one(X2))=>one_to_one(relation_composition(X1,X2)))))),inference(assume_negation,[status(cth)],[35])).
% fof(43, plain,![X1]:![X2]:((~(relation(X1))|~(relation(X2)))|relation(relation_composition(X1,X2))),inference(fof_nnf,[status(thm)],[1])).
% fof(44, plain,![X3]:![X4]:((~(relation(X3))|~(relation(X4)))|relation(relation_composition(X3,X4))),inference(variable_rename,[status(thm)],[43])).
% cnf(45,plain,(relation(relation_composition(X1,X2))|~relation(X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[44])).
% fof(46, 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(47, 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)],[46])).
% fof(48, 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)],[47])).
% cnf(49,plain,(function(relation_composition(X2,X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[48])).
% fof(88, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|((~(in(X1,relation_dom(relation_composition(X3,X2))))|(in(X1,relation_dom(X3))&in(apply(X3,X1),relation_dom(X2))))&((~(in(X1,relation_dom(X3)))|~(in(apply(X3,X1),relation_dom(X2))))|in(X1,relation_dom(relation_composition(X3,X2))))))),inference(fof_nnf,[status(thm)],[13])).
% fof(89, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))),inference(variable_rename,[status(thm)],[88])).
% fof(90, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|((~(in(X4,relation_dom(relation_composition(X6,X5))))|(in(X4,relation_dom(X6))&in(apply(X6,X4),relation_dom(X5))))&((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[89])).
% fof(91, plain,![X4]:![X5]:![X6]:(((((in(X4,relation_dom(X6))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))&(((in(apply(X6,X4),relation_dom(X5))|~(in(X4,relation_dom(relation_composition(X6,X5)))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5)))))&((((~(in(X4,relation_dom(X6)))|~(in(apply(X6,X4),relation_dom(X5))))|in(X4,relation_dom(relation_composition(X6,X5))))|(~(relation(X6))|~(function(X6))))|(~(relation(X5))|~(function(X5))))),inference(distribute,[status(thm)],[90])).
% cnf(93,plain,(in(apply(X2,X3),relation_dom(X1))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|~in(X3,relation_dom(relation_composition(X2,X1)))),inference(split_conjunct,[status(thm)],[91])).
% cnf(94,plain,(in(X3,relation_dom(X2))|~function(X1)|~relation(X1)|~function(X2)|~relation(X2)|~in(X3,relation_dom(relation_composition(X2,X1)))),inference(split_conjunct,[status(thm)],[91])).
% fof(95, 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)],[14])).
% fof(96, 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)],[95])).
% fof(97, 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(esk6_1(X4),relation_dom(X4))&in(esk7_1(X4),relation_dom(X4)))&apply(X4,esk6_1(X4))=apply(X4,esk7_1(X4)))&~(esk6_1(X4)=esk7_1(X4)))|one_to_one(X4)))),inference(skolemize,[status(esa)],[96])).
% fof(98, 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(esk6_1(X4),relation_dom(X4))&in(esk7_1(X4),relation_dom(X4)))&apply(X4,esk6_1(X4))=apply(X4,esk7_1(X4)))&~(esk6_1(X4)=esk7_1(X4)))|one_to_one(X4)))|(~(relation(X4))|~(function(X4)))),inference(shift_quantors,[status(thm)],[97])).
% fof(99, 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(esk6_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4))))&((in(esk7_1(X4),relation_dom(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((apply(X4,esk6_1(X4))=apply(X4,esk7_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))&((~(esk6_1(X4)=esk7_1(X4))|one_to_one(X4))|(~(relation(X4))|~(function(X4)))))),inference(distribute,[status(thm)],[98])).
% cnf(100,plain,(one_to_one(X1)|~function(X1)|~relation(X1)|esk6_1(X1)!=esk7_1(X1)),inference(split_conjunct,[status(thm)],[99])).
% cnf(101,plain,(one_to_one(X1)|apply(X1,esk6_1(X1))=apply(X1,esk7_1(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[99])).
% cnf(102,plain,(one_to_one(X1)|in(esk7_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[99])).
% cnf(103,plain,(one_to_one(X1)|in(esk6_1(X1),relation_dom(X1))|~function(X1)|~relation(X1)),inference(split_conjunct,[status(thm)],[99])).
% cnf(104,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)],[99])).
% fof(105, plain,![X1]:![X2]:((~(relation(X2))|~(function(X2)))|![X3]:((~(relation(X3))|~(function(X3)))|(~(in(X1,relation_dom(relation_composition(X3,X2))))|apply(relation_composition(X3,X2),X1)=apply(X2,apply(X3,X1))))),inference(fof_nnf,[status(thm)],[15])).
% fof(106, plain,![X4]:![X5]:((~(relation(X5))|~(function(X5)))|![X6]:((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(relation_composition(X6,X5))))|apply(relation_composition(X6,X5),X4)=apply(X5,apply(X6,X4))))),inference(variable_rename,[status(thm)],[105])).
% fof(107, plain,![X4]:![X5]:![X6]:(((~(relation(X6))|~(function(X6)))|(~(in(X4,relation_dom(relation_composition(X6,X5))))|apply(relation_composition(X6,X5),X4)=apply(X5,apply(X6,X4))))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[106])).
% cnf(108,plain,(apply(relation_composition(X2,X1),X3)=apply(X1,apply(X2,X3))|~function(X1)|~relation(X1)|~in(X3,relation_dom(relation_composition(X2,X1)))|~function(X2)|~relation(X2)),inference(split_conjunct,[status(thm)],[107])).
% fof(169, negated_conjecture,?[X1]:((relation(X1)&function(X1))&?[X2]:((relation(X2)&function(X2))&((one_to_one(X1)&one_to_one(X2))&~(one_to_one(relation_composition(X1,X2)))))),inference(fof_nnf,[status(thm)],[36])).
% fof(170, negated_conjecture,?[X3]:((relation(X3)&function(X3))&?[X4]:((relation(X4)&function(X4))&((one_to_one(X3)&one_to_one(X4))&~(one_to_one(relation_composition(X3,X4)))))),inference(variable_rename,[status(thm)],[169])).
% fof(171, negated_conjecture,((relation(esk12_0)&function(esk12_0))&((relation(esk13_0)&function(esk13_0))&((one_to_one(esk12_0)&one_to_one(esk13_0))&~(one_to_one(relation_composition(esk12_0,esk13_0)))))),inference(skolemize,[status(esa)],[170])).
% cnf(172,negated_conjecture,(~one_to_one(relation_composition(esk12_0,esk13_0))),inference(split_conjunct,[status(thm)],[171])).
% cnf(173,negated_conjecture,(one_to_one(esk13_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(174,negated_conjecture,(one_to_one(esk12_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(175,negated_conjecture,(function(esk13_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(176,negated_conjecture,(relation(esk13_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(177,negated_conjecture,(function(esk12_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(178,negated_conjecture,(relation(esk12_0)),inference(split_conjunct,[status(thm)],[171])).
% cnf(234,negated_conjecture,(relation(relation_composition(X1,esk13_0))|~relation(X1)),inference(pm,[status(thm)],[45,176,theory(equality)])).
% cnf(263,negated_conjecture,(function(relation_composition(esk12_0,X1))|~function(esk12_0)|~function(X1)|~relation(X1)),inference(pm,[status(thm)],[49,178,theory(equality)])).
% cnf(271,negated_conjecture,(function(relation_composition(esk12_0,X1))|$false|~function(X1)|~relation(X1)),inference(rw,[status(thm)],[263,177,theory(equality)])).
% cnf(272,negated_conjecture,(function(relation_composition(esk12_0,X1))|~function(X1)|~relation(X1)),inference(cn,[status(thm)],[271,theory(equality)])).
% cnf(448,negated_conjecture,(relation(relation_composition(esk12_0,esk13_0))),inference(pm,[status(thm)],[234,178,theory(equality)])).
% cnf(960,negated_conjecture,(function(relation_composition(esk12_0,esk13_0))|~function(esk13_0)),inference(pm,[status(thm)],[272,176,theory(equality)])).
% cnf(1000,negated_conjecture,(function(relation_composition(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[960,175,theory(equality)])).
% cnf(1001,negated_conjecture,(function(relation_composition(esk12_0,esk13_0))),inference(cn,[status(thm)],[1000,theory(equality)])).
% cnf(1538,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|esk7_1(relation_composition(esk12_0,esk13_0))!=esk6_1(relation_composition(esk12_0,esk13_0))|~relation(relation_composition(esk12_0,esk13_0))),inference(pm,[status(thm)],[100,1001,theory(equality)])).
% cnf(1539,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))|~relation(relation_composition(esk12_0,esk13_0))),inference(pm,[status(thm)],[103,1001,theory(equality)])).
% cnf(1540,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))|~relation(relation_composition(esk12_0,esk13_0))),inference(pm,[status(thm)],[102,1001,theory(equality)])).
% cnf(1541,negated_conjecture,(apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|one_to_one(relation_composition(esk12_0,esk13_0))|~relation(relation_composition(esk12_0,esk13_0))),inference(pm,[status(thm)],[101,1001,theory(equality)])).
% cnf(1542,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|esk7_1(relation_composition(esk12_0,esk13_0))!=esk6_1(relation_composition(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[1538,448,theory(equality)])).
% cnf(1543,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|esk7_1(relation_composition(esk12_0,esk13_0))!=esk6_1(relation_composition(esk12_0,esk13_0))),inference(cn,[status(thm)],[1542,theory(equality)])).
% cnf(1544,negated_conjecture,(esk7_1(relation_composition(esk12_0,esk13_0))!=esk6_1(relation_composition(esk12_0,esk13_0))),inference(sr,[status(thm)],[1543,172,theory(equality)])).
% cnf(1545,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))|$false),inference(rw,[status(thm)],[1539,448,theory(equality)])).
% cnf(1546,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))),inference(cn,[status(thm)],[1545,theory(equality)])).
% cnf(1547,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))),inference(sr,[status(thm)],[1546,172,theory(equality)])).
% cnf(1548,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))|$false),inference(rw,[status(thm)],[1540,448,theory(equality)])).
% cnf(1549,negated_conjecture,(one_to_one(relation_composition(esk12_0,esk13_0))|in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))),inference(cn,[status(thm)],[1548,theory(equality)])).
% cnf(1550,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(relation_composition(esk12_0,esk13_0)))),inference(sr,[status(thm)],[1549,172,theory(equality)])).
% cnf(1551,negated_conjecture,(apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|one_to_one(relation_composition(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[1541,448,theory(equality)])).
% cnf(1552,negated_conjecture,(apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|one_to_one(relation_composition(esk12_0,esk13_0))),inference(cn,[status(thm)],[1551,theory(equality)])).
% cnf(1553,negated_conjecture,(apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))),inference(sr,[status(thm)],[1552,172,theory(equality)])).
% cnf(2256,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[108,1547,theory(equality)])).
% cnf(2257,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[94,1547,theory(equality)])).
% cnf(2258,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[93,1547,theory(equality)])).
% cnf(2262,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2256,177,theory(equality)])).
% cnf(2263,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2262,175,theory(equality)])).
% cnf(2264,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2263,178,theory(equality)])).
% cnf(2265,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|$false|$false|$false|$false),inference(rw,[status(thm)],[2264,176,theory(equality)])).
% cnf(2266,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))),inference(cn,[status(thm)],[2265,theory(equality)])).
% cnf(2267,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2257,177,theory(equality)])).
% cnf(2268,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2267,175,theory(equality)])).
% cnf(2269,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2268,178,theory(equality)])).
% cnf(2270,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[2269,176,theory(equality)])).
% cnf(2271,negated_conjecture,(in(esk6_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))),inference(cn,[status(thm)],[2270,theory(equality)])).
% cnf(2272,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2258,177,theory(equality)])).
% cnf(2273,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2272,175,theory(equality)])).
% cnf(2274,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2273,178,theory(equality)])).
% cnf(2275,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[2274,176,theory(equality)])).
% cnf(2276,negated_conjecture,(in(apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))),inference(cn,[status(thm)],[2275,theory(equality)])).
% cnf(2307,negated_conjecture,(X1=esk6_1(relation_composition(esk12_0,esk13_0))|apply(esk12_0,X1)!=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|~one_to_one(esk12_0)|~in(X1,relation_dom(esk12_0))|~function(esk12_0)|~relation(esk12_0)),inference(pm,[status(thm)],[104,2271,theory(equality)])).
% cnf(2308,negated_conjecture,(X1=esk6_1(relation_composition(esk12_0,esk13_0))|apply(esk12_0,X1)!=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|$false|~in(X1,relation_dom(esk12_0))|~function(esk12_0)|~relation(esk12_0)),inference(rw,[status(thm)],[2307,174,theory(equality)])).
% cnf(2309,negated_conjecture,(X1=esk6_1(relation_composition(esk12_0,esk13_0))|apply(esk12_0,X1)!=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|$false|~in(X1,relation_dom(esk12_0))|$false|~relation(esk12_0)),inference(rw,[status(thm)],[2308,177,theory(equality)])).
% cnf(2310,negated_conjecture,(X1=esk6_1(relation_composition(esk12_0,esk13_0))|apply(esk12_0,X1)!=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|$false|~in(X1,relation_dom(esk12_0))|$false|$false),inference(rw,[status(thm)],[2309,178,theory(equality)])).
% cnf(2311,negated_conjecture,(X1=esk6_1(relation_composition(esk12_0,esk13_0))|apply(esk12_0,X1)!=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|~in(X1,relation_dom(esk12_0))),inference(cn,[status(thm)],[2310,theory(equality)])).
% cnf(2323,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[108,1550,theory(equality)])).
% cnf(2324,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[94,1550,theory(equality)])).
% cnf(2325,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|~function(esk12_0)|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(pm,[status(thm)],[93,1550,theory(equality)])).
% cnf(2329,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2323,177,theory(equality)])).
% cnf(2330,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2329,175,theory(equality)])).
% cnf(2331,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2330,178,theory(equality)])).
% cnf(2332,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))|$false|$false|$false|$false),inference(rw,[status(thm)],[2331,176,theory(equality)])).
% cnf(2333,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk7_1(relation_composition(esk12_0,esk13_0)))),inference(cn,[status(thm)],[2332,theory(equality)])).
% cnf(2334,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2324,177,theory(equality)])).
% cnf(2335,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2334,175,theory(equality)])).
% cnf(2336,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2335,178,theory(equality)])).
% cnf(2337,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[2336,176,theory(equality)])).
% cnf(2338,negated_conjecture,(in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))),inference(cn,[status(thm)],[2337,theory(equality)])).
% cnf(2339,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|~function(esk13_0)|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2325,177,theory(equality)])).
% cnf(2340,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|~relation(esk12_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2339,175,theory(equality)])).
% cnf(2341,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2340,178,theory(equality)])).
% cnf(2342,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))|$false|$false|$false|$false),inference(rw,[status(thm)],[2341,176,theory(equality)])).
% cnf(2343,negated_conjecture,(in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))),inference(cn,[status(thm)],[2342,theory(equality)])).
% cnf(2375,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))|~one_to_one(esk13_0)|~in(X1,relation_dom(esk13_0))|~function(esk13_0)|~relation(esk13_0)),inference(pm,[status(thm)],[104,2276,theory(equality)])).
% cnf(2377,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))|$false|~in(X1,relation_dom(esk13_0))|~function(esk13_0)|~relation(esk13_0)),inference(rw,[status(thm)],[2375,173,theory(equality)])).
% cnf(2378,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))|$false|~in(X1,relation_dom(esk13_0))|$false|~relation(esk13_0)),inference(rw,[status(thm)],[2377,175,theory(equality)])).
% cnf(2379,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))|$false|~in(X1,relation_dom(esk13_0))|$false|$false),inference(rw,[status(thm)],[2378,176,theory(equality)])).
% cnf(2380,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(esk13_0,apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0))))|~in(X1,relation_dom(esk13_0))),inference(cn,[status(thm)],[2379,theory(equality)])).
% cnf(105681,negated_conjecture,(apply(esk13_0,apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))))=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))),inference(rw,[status(thm)],[2333,1553,theory(equality)])).
% cnf(108364,negated_conjecture,(X1=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|apply(esk13_0,X1)!=apply(relation_composition(esk12_0,esk13_0),esk6_1(relation_composition(esk12_0,esk13_0)))|~in(X1,relation_dom(esk13_0))),inference(rw,[status(thm)],[2380,2266,theory(equality)])).
% cnf(108365,negated_conjecture,(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0)))=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|~in(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0))),relation_dom(esk13_0))),inference(pm,[status(thm)],[108364,105681,theory(equality)])).
% cnf(108366,negated_conjecture,(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0)))=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))|$false),inference(rw,[status(thm)],[108365,2343,theory(equality)])).
% cnf(108367,negated_conjecture,(apply(esk12_0,esk7_1(relation_composition(esk12_0,esk13_0)))=apply(esk12_0,esk6_1(relation_composition(esk12_0,esk13_0)))),inference(cn,[status(thm)],[108366,theory(equality)])).
% cnf(216983,negated_conjecture,(esk7_1(relation_composition(esk12_0,esk13_0))=esk6_1(relation_composition(esk12_0,esk13_0))|~in(esk7_1(relation_composition(esk12_0,esk13_0)),relation_dom(esk12_0))),inference(pm,[status(thm)],[2311,108367,theory(equality)])).
% cnf(216994,negated_conjecture,(esk7_1(relation_composition(esk12_0,esk13_0))=esk6_1(relation_composition(esk12_0,esk13_0))|$false),inference(rw,[status(thm)],[216983,2338,theory(equality)])).
% cnf(216995,negated_conjecture,(esk7_1(relation_composition(esk12_0,esk13_0))=esk6_1(relation_composition(esk12_0,esk13_0))),inference(cn,[status(thm)],[216994,theory(equality)])).
% cnf(216996,negated_conjecture,($false),inference(sr,[status(thm)],[216995,1544,theory(equality)])).
% cnf(216997,negated_conjecture,($false),216996,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 3111
% # ...of these trivial : 79
% # ...subsumed : 721
% # ...remaining for further processing: 2311
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 0
% # Backward-rewritten : 758
% # Generated clauses : 203959
% # ...of the previous two non-trivial : 203771
% # Contextual simplify-reflections : 0
% # Paramodulations : 203950
% # Factorizations : 0
% # Equation resolutions : 3
% # Current number of processed clauses: 1553
% # Positive orientable unit clauses: 768
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 19
% # Non-unit-clauses : 766
% # Current number of unprocessed clauses: 88564
% # ...number of literals in the above : 115917
% # Clause-clause subsumption calls (NU) : 10599
% # Rec. Clause-clause subsumption calls : 10504
% # Unit Clause-clause subsumption calls : 246
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 27636
% # Indexed BW rewrite successes : 195
% # Backwards rewriting index: 1056 leaves, 2.49+/-9.444 terms/leaf
% # Paramod-from index: 229 leaves, 3.70+/-13.316 terms/leaf
% # Paramod-into index: 862 leaves, 1.93+/-7.208 terms/leaf
% # -------------------------------------------------
% # User time : 3.893 s
% # System time : 0.209 s
% # Total time : 4.102 s
% # Maximum resident set size: 0 pages
% PrfWatch: 7.26 CPU 7.38 WC
% FINAL PrfWatch: 7.26 CPU 7.38 WC
% SZS output end Solution for /tmp/SystemOnTPTP10376/SEU013+1.tptp
%
%------------------------------------------------------------------------------