TSTP Solution File: SEU243+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU243+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 : Sun Dec 26 06:11:46 EST 2010
% Result : Theorem 74.47s
% Output : CNFRefutation 74.47s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU243+2.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpSw-spg/sel_SEU243+2.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpSw-spg/sel_SEU243+2.p_2 with time limit 81
% -prover status Theorem
% Problem SEU243+2.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU243+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU243+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% fof(27, conjecture,![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1)))),file('/tmp/tmpSw-spg/sel_SEU243+2.p_2', t5_wellord1)).
% fof(104, axiom,![X1]:(relation(X1)=>![X2]:(is_well_founded_in(X1,X2)<=>![X3]:~(((subset(X3,X2)&~(equal(X3, empty_set)))&![X4]:~((in(X4,X3)&disjoint(fiber(X1,X4),X3))))))),file('/tmp/tmpSw-spg/sel_SEU243+2.p_2', d3_wellord1)).
% fof(214, axiom,![X1]:(relation(X1)=>(well_founded_relation(X1)<=>![X2]:~(((subset(X2,relation_field(X1))&~(equal(X2, empty_set)))&![X3]:~((in(X3,X2)&disjoint(fiber(X1,X3),X2))))))),file('/tmp/tmpSw-spg/sel_SEU243+2.p_2', d2_wellord1)).
% fof(297, negated_conjecture,~(![X1]:(relation(X1)=>(well_founded_relation(X1)<=>is_well_founded_in(X1,relation_field(X1))))),inference(assume_negation,[status(cth)],[27])).
% fof(464, negated_conjecture,?[X1]:(relation(X1)&((~(well_founded_relation(X1))|~(is_well_founded_in(X1,relation_field(X1))))&(well_founded_relation(X1)|is_well_founded_in(X1,relation_field(X1))))),inference(fof_nnf,[status(thm)],[297])).
% fof(465, negated_conjecture,?[X2]:(relation(X2)&((~(well_founded_relation(X2))|~(is_well_founded_in(X2,relation_field(X2))))&(well_founded_relation(X2)|is_well_founded_in(X2,relation_field(X2))))),inference(variable_rename,[status(thm)],[464])).
% fof(466, negated_conjecture,(relation(esk11_0)&((~(well_founded_relation(esk11_0))|~(is_well_founded_in(esk11_0,relation_field(esk11_0))))&(well_founded_relation(esk11_0)|is_well_founded_in(esk11_0,relation_field(esk11_0))))),inference(skolemize,[status(esa)],[465])).
% cnf(467,negated_conjecture,(is_well_founded_in(esk11_0,relation_field(esk11_0))|well_founded_relation(esk11_0)),inference(split_conjunct,[status(thm)],[466])).
% cnf(468,negated_conjecture,(~is_well_founded_in(esk11_0,relation_field(esk11_0))|~well_founded_relation(esk11_0)),inference(split_conjunct,[status(thm)],[466])).
% cnf(469,negated_conjecture,(relation(esk11_0)),inference(split_conjunct,[status(thm)],[466])).
% fof(773, plain,![X1]:(~(relation(X1))|![X2]:((~(is_well_founded_in(X1,X2))|![X3]:((~(subset(X3,X2))|equal(X3, empty_set))|?[X4]:(in(X4,X3)&disjoint(fiber(X1,X4),X3))))&(?[X3]:((subset(X3,X2)&~(equal(X3, empty_set)))&![X4]:(~(in(X4,X3))|~(disjoint(fiber(X1,X4),X3))))|is_well_founded_in(X1,X2)))),inference(fof_nnf,[status(thm)],[104])).
% fof(774, plain,![X5]:(~(relation(X5))|![X6]:((~(is_well_founded_in(X5,X6))|![X7]:((~(subset(X7,X6))|equal(X7, empty_set))|?[X8]:(in(X8,X7)&disjoint(fiber(X5,X8),X7))))&(?[X9]:((subset(X9,X6)&~(equal(X9, empty_set)))&![X10]:(~(in(X10,X9))|~(disjoint(fiber(X5,X10),X9))))|is_well_founded_in(X5,X6)))),inference(variable_rename,[status(thm)],[773])).
% fof(775, plain,![X5]:(~(relation(X5))|![X6]:((~(is_well_founded_in(X5,X6))|![X7]:((~(subset(X7,X6))|equal(X7, empty_set))|(in(esk34_3(X5,X6,X7),X7)&disjoint(fiber(X5,esk34_3(X5,X6,X7)),X7))))&(((subset(esk35_2(X5,X6),X6)&~(equal(esk35_2(X5,X6), empty_set)))&![X10]:(~(in(X10,esk35_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk35_2(X5,X6)))))|is_well_founded_in(X5,X6)))),inference(skolemize,[status(esa)],[774])).
% fof(776, plain,![X5]:![X6]:![X7]:![X10]:(((((~(in(X10,esk35_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk35_2(X5,X6))))&(subset(esk35_2(X5,X6),X6)&~(equal(esk35_2(X5,X6), empty_set))))|is_well_founded_in(X5,X6))&(((~(subset(X7,X6))|equal(X7, empty_set))|(in(esk34_3(X5,X6,X7),X7)&disjoint(fiber(X5,esk34_3(X5,X6,X7)),X7)))|~(is_well_founded_in(X5,X6))))|~(relation(X5))),inference(shift_quantors,[status(thm)],[775])).
% fof(777, plain,![X5]:![X6]:![X7]:![X10]:(((((~(in(X10,esk35_2(X5,X6)))|~(disjoint(fiber(X5,X10),esk35_2(X5,X6))))|is_well_founded_in(X5,X6))|~(relation(X5)))&(((subset(esk35_2(X5,X6),X6)|is_well_founded_in(X5,X6))|~(relation(X5)))&((~(equal(esk35_2(X5,X6), empty_set))|is_well_founded_in(X5,X6))|~(relation(X5)))))&((((in(esk34_3(X5,X6,X7),X7)|(~(subset(X7,X6))|equal(X7, empty_set)))|~(is_well_founded_in(X5,X6)))|~(relation(X5)))&(((disjoint(fiber(X5,esk34_3(X5,X6,X7)),X7)|(~(subset(X7,X6))|equal(X7, empty_set)))|~(is_well_founded_in(X5,X6)))|~(relation(X5))))),inference(distribute,[status(thm)],[776])).
% cnf(778,plain,(X3=empty_set|disjoint(fiber(X1,esk34_3(X1,X2,X3)),X3)|~relation(X1)|~is_well_founded_in(X1,X2)|~subset(X3,X2)),inference(split_conjunct,[status(thm)],[777])).
% cnf(779,plain,(X3=empty_set|in(esk34_3(X1,X2,X3),X3)|~relation(X1)|~is_well_founded_in(X1,X2)|~subset(X3,X2)),inference(split_conjunct,[status(thm)],[777])).
% cnf(780,plain,(is_well_founded_in(X1,X2)|~relation(X1)|esk35_2(X1,X2)!=empty_set),inference(split_conjunct,[status(thm)],[777])).
% cnf(781,plain,(is_well_founded_in(X1,X2)|subset(esk35_2(X1,X2),X2)|~relation(X1)),inference(split_conjunct,[status(thm)],[777])).
% cnf(782,plain,(is_well_founded_in(X1,X2)|~relation(X1)|~disjoint(fiber(X1,X3),esk35_2(X1,X2))|~in(X3,esk35_2(X1,X2))),inference(split_conjunct,[status(thm)],[777])).
% fof(1276, plain,![X1]:(~(relation(X1))|((~(well_founded_relation(X1))|![X2]:((~(subset(X2,relation_field(X1)))|equal(X2, empty_set))|?[X3]:(in(X3,X2)&disjoint(fiber(X1,X3),X2))))&(?[X2]:((subset(X2,relation_field(X1))&~(equal(X2, empty_set)))&![X3]:(~(in(X3,X2))|~(disjoint(fiber(X1,X3),X2))))|well_founded_relation(X1)))),inference(fof_nnf,[status(thm)],[214])).
% fof(1277, plain,![X4]:(~(relation(X4))|((~(well_founded_relation(X4))|![X5]:((~(subset(X5,relation_field(X4)))|equal(X5, empty_set))|?[X6]:(in(X6,X5)&disjoint(fiber(X4,X6),X5))))&(?[X7]:((subset(X7,relation_field(X4))&~(equal(X7, empty_set)))&![X8]:(~(in(X8,X7))|~(disjoint(fiber(X4,X8),X7))))|well_founded_relation(X4)))),inference(variable_rename,[status(thm)],[1276])).
% fof(1278, plain,![X4]:(~(relation(X4))|((~(well_founded_relation(X4))|![X5]:((~(subset(X5,relation_field(X4)))|equal(X5, empty_set))|(in(esk79_2(X4,X5),X5)&disjoint(fiber(X4,esk79_2(X4,X5)),X5))))&(((subset(esk80_1(X4),relation_field(X4))&~(equal(esk80_1(X4), empty_set)))&![X8]:(~(in(X8,esk80_1(X4)))|~(disjoint(fiber(X4,X8),esk80_1(X4)))))|well_founded_relation(X4)))),inference(skolemize,[status(esa)],[1277])).
% fof(1279, plain,![X4]:![X5]:![X8]:(((((~(in(X8,esk80_1(X4)))|~(disjoint(fiber(X4,X8),esk80_1(X4))))&(subset(esk80_1(X4),relation_field(X4))&~(equal(esk80_1(X4), empty_set))))|well_founded_relation(X4))&(((~(subset(X5,relation_field(X4)))|equal(X5, empty_set))|(in(esk79_2(X4,X5),X5)&disjoint(fiber(X4,esk79_2(X4,X5)),X5)))|~(well_founded_relation(X4))))|~(relation(X4))),inference(shift_quantors,[status(thm)],[1278])).
% fof(1280, plain,![X4]:![X5]:![X8]:(((((~(in(X8,esk80_1(X4)))|~(disjoint(fiber(X4,X8),esk80_1(X4))))|well_founded_relation(X4))|~(relation(X4)))&(((subset(esk80_1(X4),relation_field(X4))|well_founded_relation(X4))|~(relation(X4)))&((~(equal(esk80_1(X4), empty_set))|well_founded_relation(X4))|~(relation(X4)))))&((((in(esk79_2(X4,X5),X5)|(~(subset(X5,relation_field(X4)))|equal(X5, empty_set)))|~(well_founded_relation(X4)))|~(relation(X4)))&(((disjoint(fiber(X4,esk79_2(X4,X5)),X5)|(~(subset(X5,relation_field(X4)))|equal(X5, empty_set)))|~(well_founded_relation(X4)))|~(relation(X4))))),inference(distribute,[status(thm)],[1279])).
% cnf(1281,plain,(X2=empty_set|disjoint(fiber(X1,esk79_2(X1,X2)),X2)|~relation(X1)|~well_founded_relation(X1)|~subset(X2,relation_field(X1))),inference(split_conjunct,[status(thm)],[1280])).
% cnf(1282,plain,(X2=empty_set|in(esk79_2(X1,X2),X2)|~relation(X1)|~well_founded_relation(X1)|~subset(X2,relation_field(X1))),inference(split_conjunct,[status(thm)],[1280])).
% cnf(1283,plain,(well_founded_relation(X1)|~relation(X1)|esk80_1(X1)!=empty_set),inference(split_conjunct,[status(thm)],[1280])).
% cnf(1284,plain,(well_founded_relation(X1)|subset(esk80_1(X1),relation_field(X1))|~relation(X1)),inference(split_conjunct,[status(thm)],[1280])).
% cnf(1285,plain,(well_founded_relation(X1)|~relation(X1)|~disjoint(fiber(X1,X2),esk80_1(X1))|~in(X2,esk80_1(X1))),inference(split_conjunct,[status(thm)],[1280])).
% cnf(5162,plain,(is_well_founded_in(X1,X2)|empty_set=esk35_2(X1,X2)|~in(esk79_2(X1,esk35_2(X1,X2)),esk35_2(X1,X2))|~relation(X1)|~well_founded_relation(X1)|~subset(esk35_2(X1,X2),relation_field(X1))),i
% nference(spm,[status(thm)],[782,1281,theory(equality)])).
% cnf(5181,plain,(well_founded_relation(X1)|empty_set=esk80_1(X1)|~in(esk34_3(X1,X2,esk80_1(X1)),esk80_1(X1))|~relation(X1)|~is_well_founded_in(X1,X2)|~subset(esk80_1(X1),X2)),inference(spm,[status(thm)],[1285,778,theory(equality)])).
% cnf(486264,plain,(esk35_2(X1,X2)=empty_set|is_well_founded_in(X1,X2)|~well_founded_relation(X1)|~subset(esk35_2(X1,X2),relation_field(X1))|~relation(X1)),inference(csr,[status(thm)],[5162,1282])).
% cnf(486265,plain,(is_well_founded_in(X1,X2)|~well_founded_relation(X1)|~subset(esk35_2(X1,X2),relation_field(X1))|~relation(X1)),inference(csr,[status(thm)],[486264,780])).
% cnf(486268,plain,(is_well_founded_in(X1,relation_field(X1))|~well_founded_relation(X1)|~relation(X1)),inference(spm,[status(thm)],[486265,781,theory(equality)])).
% cnf(486318,negated_conjecture,(~well_founded_relation(esk11_0)|~relation(esk11_0)),inference(spm,[status(thm)],[468,486268,theory(equality)])).
% cnf(486356,negated_conjecture,(~well_founded_relation(esk11_0)|$false),inference(rw,[status(thm)],[486318,469,theory(equality)])).
% cnf(486357,negated_conjecture,(~well_founded_relation(esk11_0)),inference(cn,[status(thm)],[486356,theory(equality)])).
% cnf(486368,negated_conjecture,(is_well_founded_in(esk11_0,relation_field(esk11_0))),inference(sr,[status(thm)],[467,486357,theory(equality)])).
% cnf(491627,plain,(esk80_1(X1)=empty_set|well_founded_relation(X1)|~is_well_founded_in(X1,X2)|~subset(esk80_1(X1),X2)|~relation(X1)),inference(csr,[status(thm)],[5181,779])).
% cnf(491628,plain,(well_founded_relation(X1)|~is_well_founded_in(X1,X2)|~subset(esk80_1(X1),X2)|~relation(X1)),inference(csr,[status(thm)],[491627,1283])).
% cnf(491632,plain,(well_founded_relation(X1)|~is_well_founded_in(X1,relation_field(X1))|~relation(X1)),inference(spm,[status(thm)],[491628,1284,theory(equality)])).
% cnf(491746,negated_conjecture,(well_founded_relation(esk11_0)|~relation(esk11_0)),inference(spm,[status(thm)],[491632,486368,theory(equality)])).
% cnf(491796,negated_conjecture,(well_founded_relation(esk11_0)|$false),inference(rw,[status(thm)],[491746,469,theory(equality)])).
% cnf(491797,negated_conjecture,(well_founded_relation(esk11_0)),inference(cn,[status(thm)],[491796,theory(equality)])).
% cnf(491798,negated_conjecture,($false),inference(sr,[status(thm)],[491797,486357,theory(equality)])).
% cnf(491799,negated_conjecture,($false),491798,['proof']).
% # SZS output end CNFRefutation
%
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