TSTP Solution File: SEU291+1 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU291+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 : 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 03:08:21 EST 2010
% Result : Theorem 1.36s
% Output : Solution 1.36s
% 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/SystemOnTPTP14152/SEU291+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP14152/SEU291+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP14152/SEU291+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 14248
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.01 WC
% # Preprocessing time : 0.017 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(3, axiom,![X1]:![X2]:![X3]:![X4]:(relation_of2_as_subset(X4,X3,X1)=>(subset(X1,X2)=>relation_of2_as_subset(X4,X3,X2))),file('/tmp/SRASS.s.p', t16_relset_1)).
% fof(4, axiom,![X1]:(subset(X1,empty_set)=>X1=empty_set),file('/tmp/SRASS.s.p', t3_xboole_1)).
% fof(5, 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(6, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(7, axiom,empty(empty_set),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(12, 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(14, axiom,![X1]:?[X2]:element(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(20, axiom,![X1]:![X2]:(element(X1,powerset(X2))<=>subset(X1,X2)),file('/tmp/SRASS.s.p', t3_subset)).
% fof(30, 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(31, axiom,![X1]:![X2]:![X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(32, axiom,![X1]:![X2]:![X3]:(element(X3,powerset(cartesian_product2(X1,X2)))=>relation(X3)),file('/tmp/SRASS.s.p', cc1_relset_1)).
% fof(35, 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(40, axiom,![X1]:((~(empty(X1))&relation(X1))=>~(empty(relation_dom(X1)))),file('/tmp/SRASS.s.p', fc5_relat_1)).
% fof(41, axiom,![X1]:(empty(X1)=>(empty(relation_dom(X1))&relation(relation_dom(X1)))),file('/tmp/SRASS.s.p', fc7_relat_1)).
% fof(43, axiom,![X1]:![X2]:![X3]:(relation_of2(X3,X1,X2)=>element(relation_dom_as_subset(X1,X2,X3),powerset(X1))),file('/tmp/SRASS.s.p', dt_k4_relset_1)).
% fof(45, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(52, conjecture,![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(subset(X2,X3)=>((X2=empty_set&~(X1=empty_set))|((function(X4)&quasi_total(X4,X1,X3))&relation_of2_as_subset(X4,X1,X3))))),file('/tmp/SRASS.s.p', t9_funct_2)).
% fof(53, negated_conjecture,~(![X1]:![X2]:![X3]:![X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))=>(subset(X2,X3)=>((X2=empty_set&~(X1=empty_set))|((function(X4)&quasi_total(X4,X1,X3))&relation_of2_as_subset(X4,X1,X3)))))),inference(assume_negation,[status(cth)],[52])).
% fof(59, plain,![X1]:((~(empty(X1))&relation(X1))=>~(empty(relation_dom(X1)))),inference(fof_simplification,[status(thm)],[40,theory(equality)])).
% fof(66, plain,![X1]:![X2]:![X3]:![X4]:(~(relation_of2_as_subset(X4,X3,X1))|(~(subset(X1,X2))|relation_of2_as_subset(X4,X3,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(67, plain,![X5]:![X6]:![X7]:![X8]:(~(relation_of2_as_subset(X8,X7,X5))|(~(subset(X5,X6))|relation_of2_as_subset(X8,X7,X6))),inference(variable_rename,[status(thm)],[66])).
% cnf(68,plain,(relation_of2_as_subset(X1,X2,X3)|~subset(X4,X3)|~relation_of2_as_subset(X1,X2,X4)),inference(split_conjunct,[status(thm)],[67])).
% fof(69, plain,![X1]:(~(subset(X1,empty_set))|X1=empty_set),inference(fof_nnf,[status(thm)],[4])).
% fof(70, plain,![X2]:(~(subset(X2,empty_set))|X2=empty_set),inference(variable_rename,[status(thm)],[69])).
% cnf(71,plain,(X1=empty_set|~subset(X1,empty_set)),inference(split_conjunct,[status(thm)],[70])).
% fof(72, 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)],[5])).
% fof(73, 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)],[72])).
% fof(74, 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)],[73])).
% cnf(77,plain,(quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|X2!=empty_set|X2!=relation_dom_as_subset(X2,X3,X1)),inference(split_conjunct,[status(thm)],[74])).
% cnf(79,plain,(X3=empty_set|quasi_total(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)|X2!=relation_dom_as_subset(X2,X3,X1)),inference(split_conjunct,[status(thm)],[74])).
% cnf(80,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)],[74])).
% fof(81, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[6])).
% fof(82, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[81])).
% cnf(83,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[82])).
% cnf(84,plain,(empty(empty_set)),inference(split_conjunct,[status(thm)],[7])).
% fof(101, 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)],[12])).
% fof(102, 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)],[101])).
% cnf(104,plain,(relation_of2(X1,X2,X3)|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[102])).
% fof(108, plain,![X3]:?[X4]:element(X4,X3),inference(variable_rename,[status(thm)],[14])).
% fof(109, plain,![X3]:element(esk5_1(X3),X3),inference(skolemize,[status(esa)],[108])).
% cnf(110,plain,(element(esk5_1(X1),X1)),inference(split_conjunct,[status(thm)],[109])).
% fof(132, plain,![X1]:![X2]:((~(element(X1,powerset(X2)))|subset(X1,X2))&(~(subset(X1,X2))|element(X1,powerset(X2)))),inference(fof_nnf,[status(thm)],[20])).
% fof(133, plain,![X3]:![X4]:((~(element(X3,powerset(X4)))|subset(X3,X4))&(~(subset(X3,X4))|element(X3,powerset(X4)))),inference(variable_rename,[status(thm)],[132])).
% cnf(134,plain,(element(X1,powerset(X2))|~subset(X1,X2)),inference(split_conjunct,[status(thm)],[133])).
% cnf(135,plain,(subset(X1,X2)|~element(X1,powerset(X2))),inference(split_conjunct,[status(thm)],[133])).
% fof(170, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[30])).
% fof(171, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[170])).
% cnf(172,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[171])).
% fof(173, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|~(empty(X3))),inference(fof_nnf,[status(thm)],[31])).
% fof(174, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|~(empty(X6))),inference(variable_rename,[status(thm)],[173])).
% cnf(175,plain,(~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)),inference(split_conjunct,[status(thm)],[174])).
% fof(176, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[32])).
% fof(177, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[176])).
% cnf(178,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[177])).
% fof(191, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)),inference(fof_nnf,[status(thm)],[35])).
% fof(192, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|relation_dom_as_subset(X4,X5,X6)=relation_dom(X6)),inference(variable_rename,[status(thm)],[191])).
% cnf(193,plain,(relation_dom_as_subset(X1,X2,X3)=relation_dom(X3)|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[192])).
% fof(206, plain,![X1]:((empty(X1)|~(relation(X1)))|~(empty(relation_dom(X1)))),inference(fof_nnf,[status(thm)],[59])).
% fof(207, plain,![X2]:((empty(X2)|~(relation(X2)))|~(empty(relation_dom(X2)))),inference(variable_rename,[status(thm)],[206])).
% cnf(208,plain,(empty(X1)|~empty(relation_dom(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[207])).
% fof(209, plain,![X1]:(~(empty(X1))|(empty(relation_dom(X1))&relation(relation_dom(X1)))),inference(fof_nnf,[status(thm)],[41])).
% fof(210, plain,![X2]:(~(empty(X2))|(empty(relation_dom(X2))&relation(relation_dom(X2)))),inference(variable_rename,[status(thm)],[209])).
% fof(211, plain,![X2]:((empty(relation_dom(X2))|~(empty(X2)))&(relation(relation_dom(X2))|~(empty(X2)))),inference(distribute,[status(thm)],[210])).
% cnf(213,plain,(empty(relation_dom(X1))|~empty(X1)),inference(split_conjunct,[status(thm)],[211])).
% fof(217, plain,![X1]:![X2]:![X3]:(~(relation_of2(X3,X1,X2))|element(relation_dom_as_subset(X1,X2,X3),powerset(X1))),inference(fof_nnf,[status(thm)],[43])).
% fof(218, plain,![X4]:![X5]:![X6]:(~(relation_of2(X6,X4,X5))|element(relation_dom_as_subset(X4,X5,X6),powerset(X4))),inference(variable_rename,[status(thm)],[217])).
% cnf(219,plain,(element(relation_dom_as_subset(X1,X2,X3),powerset(X1))|~relation_of2(X3,X1,X2)),inference(split_conjunct,[status(thm)],[218])).
% fof(223, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[45])).
% fof(224, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[223])).
% cnf(225,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[224])).
% fof(232, negated_conjecture,?[X1]:?[X2]:?[X3]:?[X4]:(((function(X4)&quasi_total(X4,X1,X2))&relation_of2_as_subset(X4,X1,X2))&(subset(X2,X3)&((~(X2=empty_set)|X1=empty_set)&((~(function(X4))|~(quasi_total(X4,X1,X3)))|~(relation_of2_as_subset(X4,X1,X3)))))),inference(fof_nnf,[status(thm)],[53])).
% fof(233, negated_conjecture,?[X5]:?[X6]:?[X7]:?[X8]:(((function(X8)&quasi_total(X8,X5,X6))&relation_of2_as_subset(X8,X5,X6))&(subset(X6,X7)&((~(X6=empty_set)|X5=empty_set)&((~(function(X8))|~(quasi_total(X8,X5,X7)))|~(relation_of2_as_subset(X8,X5,X7)))))),inference(variable_rename,[status(thm)],[232])).
% fof(234, negated_conjecture,(((function(esk21_0)&quasi_total(esk21_0,esk18_0,esk19_0))&relation_of2_as_subset(esk21_0,esk18_0,esk19_0))&(subset(esk19_0,esk20_0)&((~(esk19_0=empty_set)|esk18_0=empty_set)&((~(function(esk21_0))|~(quasi_total(esk21_0,esk18_0,esk20_0)))|~(relation_of2_as_subset(esk21_0,esk18_0,esk20_0)))))),inference(skolemize,[status(esa)],[233])).
% cnf(235,negated_conjecture,(~relation_of2_as_subset(esk21_0,esk18_0,esk20_0)|~quasi_total(esk21_0,esk18_0,esk20_0)|~function(esk21_0)),inference(split_conjunct,[status(thm)],[234])).
% cnf(236,negated_conjecture,(esk18_0=empty_set|esk19_0!=empty_set),inference(split_conjunct,[status(thm)],[234])).
% cnf(237,negated_conjecture,(subset(esk19_0,esk20_0)),inference(split_conjunct,[status(thm)],[234])).
% cnf(238,negated_conjecture,(relation_of2_as_subset(esk21_0,esk18_0,esk19_0)),inference(split_conjunct,[status(thm)],[234])).
% cnf(239,negated_conjecture,(quasi_total(esk21_0,esk18_0,esk19_0)),inference(split_conjunct,[status(thm)],[234])).
% cnf(240,negated_conjecture,(function(esk21_0)),inference(split_conjunct,[status(thm)],[234])).
% cnf(241,negated_conjecture,($false|~relation_of2_as_subset(esk21_0,esk18_0,esk20_0)|~quasi_total(esk21_0,esk18_0,esk20_0)),inference(rw,[status(thm)],[235,240,theory(equality)])).
% cnf(242,negated_conjecture,(~relation_of2_as_subset(esk21_0,esk18_0,esk20_0)|~quasi_total(esk21_0,esk18_0,esk20_0)),inference(cn,[status(thm)],[241,theory(equality)])).
% cnf(253,plain,(empty_set=relation_dom(X1)|~empty(X1)),inference(spm,[status(thm)],[83,213,theory(equality)])).
% cnf(276,plain,(~in(X1,X2)|~empty(X3)|~subset(X2,X3)),inference(spm,[status(thm)],[175,134,theory(equality)])).
% cnf(287,negated_conjecture,(relation_of2_as_subset(esk21_0,esk18_0,X1)|~subset(esk19_0,X1)),inference(spm,[status(thm)],[68,238,theory(equality)])).
% cnf(296,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[178,172,theory(equality)])).
% cnf(300,plain,(relation_dom_as_subset(X1,X2,X3)=relation_dom_as_subset(X4,X5,X3)|~relation_of2(X3,X1,X2)|~relation_of2(X3,X4,X5)),inference(spm,[status(thm)],[193,193,theory(equality)])).
% cnf(301,plain,(quasi_total(X1,X2,X3)|relation_dom(X1)!=X2|empty_set!=X2|~relation_of2_as_subset(X1,X2,X3)|~relation_of2(X1,X2,X3)),inference(spm,[status(thm)],[77,193,theory(equality)])).
% cnf(302,plain,(empty_set=X1|quasi_total(X2,X3,X1)|relation_dom(X2)!=X3|~relation_of2_as_subset(X2,X3,X1)|~relation_of2(X2,X3,X1)),inference(spm,[status(thm)],[79,193,theory(equality)])).
% cnf(310,plain,(subset(relation_dom_as_subset(X1,X2,X3),X1)|~relation_of2(X3,X1,X2)),inference(spm,[status(thm)],[135,219,theory(equality)])).
% cnf(330,negated_conjecture,(relation_of2_as_subset(esk21_0,esk18_0,esk20_0)),inference(spm,[status(thm)],[287,237,theory(equality)])).
% cnf(335,negated_conjecture,(~quasi_total(esk21_0,esk18_0,esk20_0)|$false),inference(rw,[status(thm)],[242,330,theory(equality)])).
% cnf(336,negated_conjecture,(~quasi_total(esk21_0,esk18_0,esk20_0)),inference(cn,[status(thm)],[335,theory(equality)])).
% cnf(343,plain,(relation_dom_as_subset(X1,X2,X3)=empty_set|~relation_of2(X3,X1,X2)|~empty(X3)),inference(spm,[status(thm)],[193,253,theory(equality)])).
% cnf(375,negated_conjecture,(relation(esk21_0)),inference(spm,[status(thm)],[296,238,theory(equality)])).
% cnf(394,plain,(empty(X2)|~empty(X3)|~subset(X2,X3)|~element(X1,X2)),inference(spm,[status(thm)],[276,225,theory(equality)])).
% cnf(438,plain,(empty(X1)|~empty(X2)|~subset(X1,X2)),inference(spm,[status(thm)],[394,110,theory(equality)])).
% cnf(525,plain,(empty_set=X1|empty_set=X2|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)|~relation_of2(X3,X1,X2)|~empty(X3)),inference(spm,[status(thm)],[80,343,theory(equality)])).
% cnf(684,plain,(relation_dom_as_subset(X4,X5,X3)=X1|empty_set=X2|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)|~relation_of2(X3,X4,X5)|~relation_of2(X3,X1,X2)),inference(spm,[status(thm)],[80,300,theory(equality)])).
% cnf(727,plain,(quasi_total(X1,X2,X3)|relation_dom(X1)!=X2|empty_set!=X2|~relation_of2_as_subset(X1,X2,X3)),inference(csr,[status(thm)],[301,104])).
% cnf(729,plain,(quasi_total(X1,X2,X3)|empty_set!=X2|~relation_of2_as_subset(X1,X2,X3)|~empty(X1)),inference(spm,[status(thm)],[727,253,theory(equality)])).
% cnf(736,negated_conjecture,(empty_set!=esk18_0|~empty(esk21_0)|~relation_of2_as_subset(esk21_0,esk18_0,esk20_0)),inference(spm,[status(thm)],[336,729,theory(equality)])).
% cnf(738,negated_conjecture,(empty_set!=esk18_0|~empty(esk21_0)|$false),inference(rw,[status(thm)],[736,330,theory(equality)])).
% cnf(739,negated_conjecture,(empty_set!=esk18_0|~empty(esk21_0)),inference(cn,[status(thm)],[738,theory(equality)])).
% cnf(748,plain,(empty_set=X1|quasi_total(X2,X3,X1)|relation_dom(X2)!=X3|~relation_of2_as_subset(X2,X3,X1)),inference(csr,[status(thm)],[302,104])).
% cnf(749,plain,(empty_set=X1|quasi_total(X2,relation_dom(X2),X1)|~relation_of2_as_subset(X2,relation_dom(X2),X1)),inference(er,[status(thm)],[748,theory(equality)])).
% cnf(960,plain,(subset(relation_dom(X3),X1)|~relation_of2(X3,X1,X2)),inference(spm,[status(thm)],[310,193,theory(equality)])).
% cnf(1953,plain,(subset(relation_dom(X1),X2)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[960,104,theory(equality)])).
% cnf(1960,negated_conjecture,(subset(relation_dom(esk21_0),esk18_0)),inference(spm,[status(thm)],[1953,238,theory(equality)])).
% cnf(1987,negated_conjecture,(empty(relation_dom(esk21_0))|~empty(esk18_0)),inference(spm,[status(thm)],[438,1960,theory(equality)])).
% cnf(2000,negated_conjecture,(empty(esk21_0)|~relation(esk21_0)|~empty(esk18_0)),inference(spm,[status(thm)],[208,1987,theory(equality)])).
% cnf(2006,negated_conjecture,(empty(esk21_0)|$false|~empty(esk18_0)),inference(rw,[status(thm)],[2000,375,theory(equality)])).
% cnf(2007,negated_conjecture,(empty(esk21_0)|~empty(esk18_0)),inference(cn,[status(thm)],[2006,theory(equality)])).
% cnf(3405,plain,(empty_set=X1|empty_set=X2|~empty(X3)|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)),inference(csr,[status(thm)],[525,104])).
% cnf(3406,negated_conjecture,(empty_set=esk19_0|empty_set=esk18_0|~empty(esk21_0)|~relation_of2_as_subset(esk21_0,esk18_0,esk19_0)),inference(spm,[status(thm)],[3405,239,theory(equality)])).
% cnf(3415,negated_conjecture,(empty_set=esk19_0|empty_set=esk18_0|~empty(esk21_0)|$false),inference(rw,[status(thm)],[3406,238,theory(equality)])).
% cnf(3416,negated_conjecture,(empty_set=esk19_0|empty_set=esk18_0|~empty(esk21_0)),inference(cn,[status(thm)],[3415,theory(equality)])).
% cnf(3425,negated_conjecture,(esk19_0=empty_set|~empty(esk21_0)),inference(csr,[status(thm)],[3416,739])).
% cnf(5629,plain,(relation_dom_as_subset(X4,X5,X3)=X1|empty_set=X2|~relation_of2(X3,X4,X5)|~quasi_total(X3,X1,X2)|~relation_of2_as_subset(X3,X1,X2)),inference(csr,[status(thm)],[684,104])).
% cnf(5630,negated_conjecture,(relation_dom_as_subset(X1,X2,esk21_0)=esk18_0|empty_set=esk19_0|~relation_of2(esk21_0,X1,X2)|~relation_of2_as_subset(esk21_0,esk18_0,esk19_0)),inference(spm,[status(thm)],[5629,239,theory(equality)])).
% cnf(5641,negated_conjecture,(relation_dom_as_subset(X1,X2,esk21_0)=esk18_0|empty_set=esk19_0|~relation_of2(esk21_0,X1,X2)|$false),inference(rw,[status(thm)],[5630,238,theory(equality)])).
% cnf(5642,negated_conjecture,(relation_dom_as_subset(X1,X2,esk21_0)=esk18_0|empty_set=esk19_0|~relation_of2(esk21_0,X1,X2)),inference(cn,[status(thm)],[5641,theory(equality)])).
% cnf(5657,negated_conjecture,(esk18_0=empty_set|esk19_0=empty_set|~relation_of2(esk21_0,X1,X2)|~empty(esk21_0)),inference(spm,[status(thm)],[343,5642,theory(equality)])).
% cnf(5658,negated_conjecture,(esk18_0=relation_dom(esk21_0)|esk19_0=empty_set|~relation_of2(esk21_0,X1,X2)),inference(spm,[status(thm)],[193,5642,theory(equality)])).
% cnf(5689,negated_conjecture,(esk18_0=empty_set|esk19_0=empty_set|~empty(esk21_0)),inference(csr,[status(thm)],[5657,3425])).
% cnf(5690,negated_conjecture,(esk18_0=empty_set|~empty(esk21_0)),inference(csr,[status(thm)],[5689,236])).
% cnf(5691,negated_conjecture,(~empty(esk21_0)),inference(csr,[status(thm)],[5690,739])).
% cnf(5692,negated_conjecture,(relation_dom(esk21_0)=esk18_0|esk19_0=empty_set|~relation_of2_as_subset(esk21_0,X1,X2)),inference(spm,[status(thm)],[5658,104,theory(equality)])).
% cnf(5693,negated_conjecture,(relation_dom(esk21_0)=esk18_0|esk19_0=empty_set),inference(spm,[status(thm)],[5692,238,theory(equality)])).
% cnf(5732,negated_conjecture,(empty_set=X1|quasi_total(esk21_0,esk18_0,X1)|esk19_0=empty_set|~relation_of2_as_subset(esk21_0,esk18_0,X1)),inference(spm,[status(thm)],[749,5693,theory(equality)])).
% cnf(5818,negated_conjecture,(esk19_0=empty_set|empty_set=esk20_0|~relation_of2_as_subset(esk21_0,esk18_0,esk20_0)),inference(spm,[status(thm)],[336,5732,theory(equality)])).
% cnf(5822,negated_conjecture,(esk19_0=empty_set|empty_set=esk20_0|$false),inference(rw,[status(thm)],[5818,330,theory(equality)])).
% cnf(5823,negated_conjecture,(esk19_0=empty_set|empty_set=esk20_0),inference(cn,[status(thm)],[5822,theory(equality)])).
% cnf(5825,negated_conjecture,(subset(esk19_0,empty_set)|esk19_0=empty_set),inference(spm,[status(thm)],[237,5823,theory(equality)])).
% cnf(5958,negated_conjecture,(esk19_0=empty_set),inference(csr,[status(thm)],[5825,71])).
% cnf(6030,negated_conjecture,(esk18_0=empty_set|$false),inference(rw,[status(thm)],[236,5958,theory(equality)])).
% cnf(6031,negated_conjecture,(esk18_0=empty_set),inference(cn,[status(thm)],[6030,theory(equality)])).
% cnf(6123,negated_conjecture,(empty(esk21_0)|$false),inference(rw,[status(thm)],[inference(rw,[status(thm)],[2007,6031,theory(equality)]),84,theory(equality)])).
% cnf(6124,negated_conjecture,(empty(esk21_0)),inference(cn,[status(thm)],[6123,theory(equality)])).
% cnf(6125,negated_conjecture,($false),inference(sr,[status(thm)],[6124,5691,theory(equality)])).
% cnf(6126,negated_conjecture,($false),6125,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 1151
% # ...of these trivial : 18
% # ...subsumed : 547
% # ...remaining for further processing: 586
% # Other redundant clauses eliminated : 7
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 33
% # Backward-rewritten : 181
% # Generated clauses : 3667
% # ...of the previous two non-trivial : 2694
% # Contextual simplify-reflections : 432
% # Paramodulations : 3655
% # Factorizations : 0
% # Equation resolutions : 9
% # Current number of processed clauses: 292
% # Positive orientable unit clauses: 72
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 9
% # Non-unit-clauses : 211
% # Current number of unprocessed clauses: 714
% # ...number of literals in the above : 2522
% # Clause-clause subsumption calls (NU) : 7656
% # Rec. Clause-clause subsumption calls : 6203
% # Unit Clause-clause subsumption calls : 145
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 77
% # Indexed BW rewrite successes : 18
% # Backwards rewriting index: 201 leaves, 1.56+/-1.374 terms/leaf
% # Paramod-from index: 121 leaves, 1.16+/-0.464 terms/leaf
% # Paramod-into index: 196 leaves, 1.39+/-0.933 terms/leaf
% # -------------------------------------------------
% # User time : 0.161 s
% # System time : 0.011 s
% # Total time : 0.172 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.34 CPU 0.41 WC
% FINAL PrfWatch: 0.34 CPU 0.41 WC
% SZS output end Solution for /tmp/SystemOnTPTP14152/SEU291+1.tptp
%
%------------------------------------------------------------------------------