TSTP Solution File: SEU293+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU293+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 : art06.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 03:09:21 EST 2010
% Result : Theorem 1.26s
% Output : Solution 1.26s
% 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/SystemOnTPTP3876/SEU293+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP3876/SEU293+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP3876/SEU293+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 3972
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.02 WC
% # Preprocessing time : 0.016 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>(((X2=empty_set=>X1=empty_set)=>(quasi_total(X3,X1,X2)<=>X1=relation_dom_as_subset(X1,X2,X3)))&(X2=empty_set=>(X1=empty_set|(quasi_total(X3,X1,X2)<=>X3=empty_set))))),file('/tmp/SRASS.s.p', d1_funct_2)).
% fof(5, axiom,![X1]:((relation(X1)&function(X1))=>![X2]:![X3]:(X3=relation_inverse_image(X1,X2)<=>![X4]:(in(X4,X3)<=>(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))),file('/tmp/SRASS.s.p', d13_funct_1)).
% fof(13, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)<=>relation_of2(X3,X1,X2)),file('/tmp/SRASS.s.p', redefinition_m2_relset_1)).
% fof(31, axiom,![X1]:![X2]:![X3]:(relation_of2_as_subset(X3,X1,X2)=>element(X3,powerset(cartesian_product2(X1,X2)))),file('/tmp/SRASS.s.p', dt_m2_relset_1)).
% fof(33, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)=>relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),file('/tmp/SRASS.s.p', redefinition_k4_relset_1)).
% fof(44, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(53, conjecture,![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(~(X2=empty_set)=>![X5]:(in(X5,relation_inverse_image(X4,X3))<=>(in(X5,X1)&in(apply(X4,X5),X3))))),file('/tmp/SRASS.s.p', t46_funct_2)).
% fof(54, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(~(X2=empty_set)=>![X5]:(in(X5,relation_inverse_image(X4,X3))<=>(in(X5,X1)&in(apply(X4,X5),X3)))))),inference(assume_negation,[status(cth)],[53])).
% fof(68, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|(((X2=empty_set&~(X1=empty_set))|((~(quasi_total(X3,X1,X2))|X1=relation_dom_as_subset(X1,X2,X3))&(~(X1=relation_dom_as_subset(X1,X2,X3))|quasi_total(X3,X1,X2))))&(~(X2=empty_set)|(X1=empty_set|((~(quasi_total(X3,X1,X2))|X3=empty_set)&(~(X3=empty_set)|quasi_total(X3,X1,X2))))))),inference(fof_nnf,[status(thm)],[3])).
% fof(69, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|(((X5=empty_set&~(X4=empty_set))|((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))&(~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))))&(~(X5=empty_set)|(X4=empty_set|((~(quasi_total(X6,X4,X5))|X6=empty_set)&(~(X6=empty_set)|quasi_total(X6,X4,X5))))))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X4]:![X5]:![X6]:((((((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))|X5=empty_set)|~(relation_of2_as_subset(X6,X4,X5)))&(((~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))|X5=empty_set)|~(relation_of2_as_subset(X6,X4,X5))))&((((~(quasi_total(X6,X4,X5))|X4=relation_dom_as_subset(X4,X5,X6))|~(X4=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))&(((~(X4=relation_dom_as_subset(X4,X5,X6))|quasi_total(X6,X4,X5))|~(X4=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))))&(((((~(quasi_total(X6,X4,X5))|X6=empty_set)|X4=empty_set)|~(X5=empty_set))|~(relation_of2_as_subset(X6,X4,X5)))&((((~(X6=empty_set)|quasi_total(X6,X4,X5))|X4=empty_set)|~(X5=empty_set))|~(relation_of2_as_subset(X6,X4,X5))))),inference(distribute,[status(thm)],[69])).
% cnf(76,plain,(X3=empty_set|X2=relation_dom_as_subset(X2,X3,X1)|~relation_of2_as_subset(X1,X2,X3)|~quasi_total(X1,X2,X3)),inference(split_conjunct,[status(thm)],[70])).
% fof(80, plain,![X1]:((~(relation(X1))|~(function(X1)))|![X2]:![X3]:((~(X3=relation_inverse_image(X1,X2))|![X4]:((~(in(X4,X3))|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2)))&((~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2)))|in(X4,X3))))&(?[X4]:((~(in(X4,X3))|(~(in(X4,relation_dom(X1)))|~(in(apply(X1,X4),X2))))&(in(X4,X3)|(in(X4,relation_dom(X1))&in(apply(X1,X4),X2))))|X3=relation_inverse_image(X1,X2)))),inference(fof_nnf,[status(thm)],[5])).
% fof(81, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(?[X9]:((~(in(X9,X7))|(~(in(X9,relation_dom(X5)))|~(in(apply(X5,X9),X6))))&(in(X9,X7)|(in(X9,relation_dom(X5))&in(apply(X5,X9),X6))))|X7=relation_inverse_image(X5,X6)))),inference(variable_rename,[status(thm)],[80])).
% fof(82, plain,![X5]:((~(relation(X5))|~(function(X5)))|![X6]:![X7]:((~(X7=relation_inverse_image(X5,X6))|![X8]:((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))))&(((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))&(in(esk2_3(X5,X6,X7),X7)|(in(esk2_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))),inference(skolemize,[status(esa)],[81])).
% fof(83, plain,![X5]:![X6]:![X7]:![X8]:(((((~(in(X8,X7))|(in(X8,relation_dom(X5))&in(apply(X5,X8),X6)))&((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))&(((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))&(in(esk2_3(X5,X6,X7),X7)|(in(esk2_3(X5,X6,X7),relation_dom(X5))&in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))),inference(shift_quantors,[status(thm)],[82])).
% fof(84, plain,![X5]:![X6]:![X7]:![X8]:((((((in(X8,relation_dom(X5))|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,X8),X6)|~(in(X8,X7)))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(X8,relation_dom(X5)))|~(in(apply(X5,X8),X6)))|in(X8,X7))|~(X7=relation_inverse_image(X5,X6)))|(~(relation(X5))|~(function(X5)))))&((((~(in(esk2_3(X5,X6,X7),X7))|(~(in(esk2_3(X5,X6,X7),relation_dom(X5)))|~(in(apply(X5,esk2_3(X5,X6,X7)),X6))))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&((((in(esk2_3(X5,X6,X7),relation_dom(X5))|in(esk2_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))&(((in(apply(X5,esk2_3(X5,X6,X7)),X6)|in(esk2_3(X5,X6,X7),X7))|X7=relation_inverse_image(X5,X6))|(~(relation(X5))|~(function(X5))))))),inference(distribute,[status(thm)],[83])).
% cnf(88,plain,(in(X4,X2)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(apply(X1,X4),X3)|~in(X4,relation_dom(X1))),inference(split_conjunct,[status(thm)],[84])).
% cnf(89,plain,(in(apply(X1,X4),X3)|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[84])).
% cnf(90,plain,(in(X4,relation_dom(X1))|~function(X1)|~relation(X1)|X2!=relation_inverse_image(X1,X3)|~in(X4,X2)),inference(split_conjunct,[status(thm)],[84])).
% fof(114, plain,![X1]:![X2]:![X3]:((~(relation_of2_as_subset(X3,X1,X2))|relation_of2(X3,X1,X2))&(~(relation_of2(X3,X1,X2))|relation_of2_as_subset(X3,X1,X2))),inference(fof_nnf,[status(thm)],[13])).
% fof(115, plain,![X4]:![X5]:![X6]:((~(relation_of2_as_subset(X6,X4,X5))|relation_of2(X6,X4,X5))&(~(relation_of2(X6,X4,X5))|relation_of2_as_subset(X6,X4,X5))),inference(variable_rename,[status(thm)],[114])).
% cnf(116,plain,(relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3)),inference(split_conjunct,[status(thm)],[115])).
% cnf(117,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[115])).
% fof(181, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[31])).
% fof(182, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[181])).
% cnf(183,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[182])).
% fof(187, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),inference(fof_nnf,[status(thm)],[33])).
% fof(188, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|relation_dom_as_subset(X4,X5,X6)=relation_dom(X6)),inference(variable_rename,[status(thm)],[187])).
% cnf(189,plain,(relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[188])).
% fof(229, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[44])).
% fof(230, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[229])).
% cnf(231,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[230])).
% fof(240, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))&(~(X2=empty_set)&?[X5]:((~(in(X5,relation_inverse_image(X4,X3)))|(~(in(X5,X1))|~(in(apply(X4,X5),X3))))&(in(X5,relation_inverse_image(X4,X3))|(in(X5,X1)&in(apply(X4,X5),X3)))))),inference(fof_nnf,[status(thm)],[54])).
% fof(241, negated_conjecture,?[X6]:?[X7]:?[X8]:?[X9]:(((function(X9)&quasi_total(X9,X6,X7))&relation_of2_as_subset(X9,X6,X7))&(~(X7=empty_set)&?[X10]:((~(in(X10,relation_inverse_image(X9,X8)))|(~(in(X10,X6))|~(in(apply(X9,X10),X8))))&(in(X10,relation_inverse_image(X9,X8))|(in(X10,X6)&in(apply(X9,X10),X8)))))),inference(variable_rename,[status(thm)],[240])).
% fof(242, negated_conjecture,(((function(esk22_0)&quasi_total(esk22_0,esk19_0,esk20_0))&relation_of2_as_subset(esk22_0,esk19_0,esk20_0))&(~(esk20_0=empty_set)&((~(in(esk23_0,relation_inverse_image(esk22_0,esk21_0)))|(~(in(esk23_0,esk19_0))|~(in(apply(esk22_0,esk23_0),esk21_0))))&(in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|(in(esk23_0,esk19_0)&in(apply(esk22_0,esk23_0),esk21_0)))))),inference(skolemize,[status(esa)],[241])).
% fof(243, negated_conjecture,(((function(esk22_0)&quasi_total(esk22_0,esk19_0,esk20_0))&relation_of2_as_subset(esk22_0,esk19_0,esk20_0))&(~(esk20_0=empty_set)&((~(in(esk23_0,relation_inverse_image(esk22_0,esk21_0)))|(~(in(esk23_0,esk19_0))|~(in(apply(esk22_0,esk23_0),esk21_0))))&((in(esk23_0,esk19_0)|in(esk23_0,relation_inverse_image(esk22_0,esk21_0)))&(in(apply(esk22_0,esk23_0),esk21_0)|in(esk23_0,relation_inverse_image(esk22_0,esk21_0))))))),inference(distribute,[status(thm)],[242])).
% cnf(244,negated_conjecture,(in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|in(apply(esk22_0,esk23_0),esk21_0)),inference(split_conjunct,[status(thm)],[243])).
% cnf(245,negated_conjecture,(in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|in(esk23_0,esk19_0)),inference(split_conjunct,[status(thm)],[243])).
% cnf(246,negated_conjecture,(~in(apply(esk22_0,esk23_0),esk21_0)|~in(esk23_0,esk19_0)|~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))),inference(split_conjunct,[status(thm)],[243])).
% cnf(247,negated_conjecture,(esk20_0!=empty_set),inference(split_conjunct,[status(thm)],[243])).
% cnf(248,negated_conjecture,(relation_of2_as_subset(esk22_0,esk19_0,esk20_0)),inference(split_conjunct,[status(thm)],[243])).
% cnf(249,negated_conjecture,(quasi_total(esk22_0,esk19_0,esk20_0)),inference(split_conjunct,[status(thm)],[243])).
% cnf(250,negated_conjecture,(function(esk22_0)),inference(split_conjunct,[status(thm)],[243])).
% cnf(309,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[231,183,theory(equality)])).
% cnf(314,plain,(in(X1,relation_dom(X2))|~function(X2)|~relation(X2)|~in(X1,relation_inverse_image(X2,X3))),inference(er,[status(thm)],[90,theory(equality)])).
% cnf(315,plain,(in(apply(X1,X2),X3)|~function(X1)|~relation(X1)|~in(X2,relation_inverse_image(X1,X3))),inference(er,[status(thm)],[89,theory(equality)])).
% cnf(316,plain,(X1=relation_dom(X3)|empty_set=X2|~relation_of2(X3,X1,X2)|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)),inference(spm,[status(thm)],[189,76,theory(equality)])).
% cnf(435,negated_conjecture,(relation(esk22_0)),inference(spm,[status(thm)],[309,248,theory(equality)])).
% cnf(580,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|~in(esk23_0,esk19_0)|~function(esk22_0)|~relation(esk22_0)),inference(spm,[status(thm)],[246,315,theory(equality)])).
% cnf(586,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|~in(esk23_0,esk19_0)|$false|~relation(esk22_0)),inference(rw,[status(thm)],[580,250,theory(equality)])).
% cnf(587,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|~in(esk23_0,esk19_0)|$false|$false),inference(rw,[status(thm)],[586,435,theory(equality)])).
% cnf(588,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|~in(esk23_0,esk19_0)),inference(cn,[status(thm)],[587,theory(equality)])).
% cnf(860,negated_conjecture,(in(esk23_0,relation_dom(esk22_0))|in(esk23_0,esk19_0)|~function(esk22_0)|~relation(esk22_0)),inference(spm,[status(thm)],[314,245,theory(equality)])).
% cnf(867,negated_conjecture,(in(esk23_0,relation_dom(esk22_0))|in(esk23_0,esk19_0)|$false|~relation(esk22_0)),inference(rw,[status(thm)],[860,250,theory(equality)])).
% cnf(868,negated_conjecture,(in(esk23_0,relation_dom(esk22_0))|in(esk23_0,esk19_0)|$false|$false),inference(rw,[status(thm)],[867,435,theory(equality)])).
% cnf(869,negated_conjecture,(in(esk23_0,relation_dom(esk22_0))|in(esk23_0,esk19_0)),inference(cn,[status(thm)],[868,theory(equality)])).
% cnf(895,plain,(X1=relation_dom(X3)|empty_set=X2|~relation_of2(X3,X1,X2)|~quasi_total(X3,X1,X2)),inference(csr,[status(thm)],[316,116])).
% cnf(900,plain,(X1=relation_dom(X2)|empty_set=X3|~quasi_total(X2,X1,X3)|~relation_of2_as_subset(X2,X1,X3)),inference(spm,[status(thm)],[895,117,theory(equality)])).
% cnf(6326,negated_conjecture,(esk19_0=relation_dom(esk22_0)|empty_set=esk20_0|~relation_of2_as_subset(esk22_0,esk19_0,esk20_0)),inference(spm,[status(thm)],[900,249,theory(equality)])).
% cnf(6334,negated_conjecture,(esk19_0=relation_dom(esk22_0)|empty_set=esk20_0|$false),inference(rw,[status(thm)],[6326,248,theory(equality)])).
% cnf(6335,negated_conjecture,(esk19_0=relation_dom(esk22_0)|empty_set=esk20_0),inference(cn,[status(thm)],[6334,theory(equality)])).
% cnf(6336,negated_conjecture,(relation_dom(esk22_0)=esk19_0),inference(sr,[status(thm)],[6335,247,theory(equality)])).
% cnf(6362,negated_conjecture,(in(esk23_0,esk19_0)|in(esk23_0,esk19_0)),inference(rw,[status(thm)],[869,6336,theory(equality)])).
% cnf(6363,negated_conjecture,(in(esk23_0,esk19_0)),inference(cn,[status(thm)],[6362,theory(equality)])).
% cnf(6387,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))|$false),inference(rw,[status(thm)],[588,6363,theory(equality)])).
% cnf(6388,negated_conjecture,(~in(esk23_0,relation_inverse_image(esk22_0,esk21_0))),inference(cn,[status(thm)],[6387,theory(equality)])).
% cnf(6402,negated_conjecture,(in(apply(esk22_0,esk23_0),esk21_0)),inference(sr,[status(thm)],[244,6388,theory(equality)])).
% cnf(6431,negated_conjecture,(in(esk23_0,X1)|relation_inverse_image(esk22_0,esk21_0)!=X1|~function(esk22_0)|~relation(esk22_0)|~in(esk23_0,relation_dom(esk22_0))),inference(spm,[status(thm)],[88,6402,theory(equality)])).
% cnf(6432,negated_conjecture,(in(esk23_0,X1)|relation_inverse_image(esk22_0,esk21_0)!=X1|$false|~relation(esk22_0)|~in(esk23_0,relation_dom(esk22_0))),inference(rw,[status(thm)],[6431,250,theory(equality)])).
% cnf(6433,negated_conjecture,(in(esk23_0,X1)|relation_inverse_image(esk22_0,esk21_0)!=X1|$false|$false|~in(esk23_0,relation_dom(esk22_0))),inference(rw,[status(thm)],[6432,435,theory(equality)])).
% cnf(6434,negated_conjecture,(in(esk23_0,X1)|relation_inverse_image(esk22_0,esk21_0)!=X1|$false|$false|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[6433,6336,theory(equality)]),6363,theory(equality)])).
% cnf(6435,negated_conjecture,(in(esk23_0,X1)|relation_inverse_image(esk22_0,esk21_0)!=X1),inference(cn,[status(thm)],[6434,theory(equality)])).
% cnf(6443,negated_conjecture,(in(esk23_0,relation_inverse_image(esk22_0,esk21_0))),inference(er,[status(thm)],[6435,theory(equality)])).
% cnf(6449,negated_conjecture,($false),inference(sr,[status(thm)],[6443,6388,theory(equality)])).
% cnf(6450,negated_conjecture,($false),6449,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1379
% # ...of these trivial : 13
% # ...subsumed : 823
% # ...remaining for further processing: 543
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 17
% # Backward-rewritten : 48
% # Generated clauses : 3918
% # ...of the previous two non-trivial : 3607
% # Contextual simplify-reflections : 634
% # Paramodulations : 3864
% # Factorizations : 12
% # Equation resolutions : 16
% # Current number of processed clauses: 383
% # Positive orientable unit clauses: 74
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 33
% # Non-unit-clauses : 276
% # Current number of unprocessed clauses: 1977
% # ...number of literals in the above : 8978
% # Clause-clause subsumption calls (NU) : 8918
% # Rec. Clause-clause subsumption calls : 5636
% # Unit Clause-clause subsumption calls : 608
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 23
% # Indexed BW rewrite successes : 18
% # Backwards rewriting index: 325 leaves, 1.43+/-0.976 terms/leaf
% # Paramod-from index: 157 leaves, 1.04+/-0.284 terms/leaf
% # Paramod-into index: 300 leaves, 1.36+/-0.863 terms/leaf
% # -------------------------------------------------
% # User time : 0.205 s
% # System time : 0.008 s
% # Total time : 0.213 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.38 CPU 0.47 WC
% FINAL PrfWatch: 0.38 CPU 0.47 WC
% SZS output end Solution for /tmp/SystemOnTPTP3876/SEU293+1.tptp
%
%------------------------------------------------------------------------------