%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : SEU339+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 : art07.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 03:45:20 EST 2010
% Result : Theorem 1.63s
% Output : Solution 1.63s
% 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/SystemOnTPTP26159/SEU339+1.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP26159/SEU339+1.tptp
% SZS output start Solution for /tmp/SystemOnTPTP26159/SEU339+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 26255
% 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(2, axiom,![X1]:?[X2]:element(X2,X1),file('/tmp/SRASS.s.p', existence_m1_subset_1)).
% fof(3, axiom,![X1]:(rel_str(X1)=>(antisymmetric_relstr(X1)<=>is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))),file('/tmp/SRASS.s.p', d6_orders_2)).
% fof(4, axiom,![X1]:(rel_str(X1)=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>(related(X1,X2,X3)<=>in(ordered_pair(X2,X3),the_InternalRel(X1)))))),file('/tmp/SRASS.s.p', d9_orders_2)).
% fof(5, axiom,![X1]:![X2]:~(((empty(X1)&~(X1=X2))&empty(X2))),file('/tmp/SRASS.s.p', t8_boole)).
% fof(7, axiom,![X1]:(rel_str(X1)=>relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))),file('/tmp/SRASS.s.p', dt_u1_orders_2)).
% fof(13, axiom,![X1]:![X2]:unordered_pair(X1,X2)=unordered_pair(X2,X1),file('/tmp/SRASS.s.p', commutativity_k2_tarski)).
% fof(14, axiom,![X1]:![X2]:(in(X1,X2)=>element(X1,X2)),file('/tmp/SRASS.s.p', t1_subset)).
% fof(16, axiom,![X1]:![X2]:(element(X1,X2)=>(empty(X2)|in(X1,X2))),file('/tmp/SRASS.s.p', t2_subset)).
% fof(18, axiom,empty(empty_set),file('/tmp/SRASS.s.p', fc1_xboole_0)).
% fof(19, axiom,![X1]:(~(empty(X1))=>?[X2]:(element(X2,powerset(X1))&~(empty(X2)))),file('/tmp/SRASS.s.p', rc1_subset_1)).
% fof(20, axiom,![X1]:?[X2]:(element(X2,powerset(X1))&empty(X2)),file('/tmp/SRASS.s.p', rc2_subset_1)).
% fof(21, axiom,![X1]:![X2]:![X3]:![X4]:(in(ordered_pair(X1,X2),cartesian_product2(X3,X4))<=>(in(X1,X3)&in(X2,X4))),file('/tmp/SRASS.s.p', t106_zfmisc_1)).
% fof(22, axiom,![X1]:![X2]:![X3]:((in(X1,X2)&element(X2,powerset(X3)))=>element(X1,X3)),file('/tmp/SRASS.s.p', t4_subset)).
% fof(23, axiom,![X1]:(empty(X1)=>X1=empty_set),file('/tmp/SRASS.s.p', t6_boole)).
% fof(26, axiom,![X1]:![X2]:~((in(X1,X2)&empty(X2))),file('/tmp/SRASS.s.p', t7_boole)).
% fof(27, axiom,![X1]:![X2]:ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1)),file('/tmp/SRASS.s.p', d5_tarski)).
% fof(28, axiom,![X1]:![X2]:![X3]:~(((in(X1,X2)&element(X2,powerset(X3)))&empty(X3))),file('/tmp/SRASS.s.p', t5_subset)).
% fof(33, axiom,![X1]:(relation(X1)=>![X2]:(is_antisymmetric_in(X1,X2)<=>![X3]:![X4]:((((in(X3,X2)&in(X4,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X3),X1))=>X3=X4))),file('/tmp/SRASS.s.p', d4_relat_2)).
% fof(34, 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_as_subset(X3,X1,X2)=>element(X3,powerset(cartesian_product2(X1,X2)))),file('/tmp/SRASS.s.p', dt_m2_relset_1)).
% fof(46, conjecture,![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X2))=>X2=X3)))),file('/tmp/SRASS.s.p', t25_orders_2)).
% fof(47, negated_conjecture,~(![X1]:((antisymmetric_relstr(X1)&rel_str(X1))=>![X2]:(element(X2,the_carrier(X1))=>![X3]:(element(X3,the_carrier(X1))=>((related(X1,X2,X3)&related(X1,X3,X2))=>X2=X3))))),inference(assume_negation,[status(cth)],[46])).
% fof(50, plain,![X1]:(~(empty(X1))=>?[X2]:(element(X2,powerset(X1))&~(empty(X2)))),inference(fof_simplification,[status(thm)],[19,theory(equality)])).
% fof(58, plain,![X3]:?[X4]:element(X4,X3),inference(variable_rename,[status(thm)],[2])).
% fof(59, plain,![X3]:element(esk2_1(X3),X3),inference(skolemize,[status(esa)],[58])).
% cnf(60,plain,(element(esk2_1(X1),X1)),inference(split_conjunct,[status(thm)],[59])).
% fof(61, plain,![X1]:(~(rel_str(X1))|((~(antisymmetric_relstr(X1))|is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))&(~(is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1)))|antisymmetric_relstr(X1)))),inference(fof_nnf,[status(thm)],[3])).
% fof(62, plain,![X2]:(~(rel_str(X2))|((~(antisymmetric_relstr(X2))|is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)))&(~(is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)))|antisymmetric_relstr(X2)))),inference(variable_rename,[status(thm)],[61])).
% fof(63, plain,![X2]:(((~(antisymmetric_relstr(X2))|is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)))|~(rel_str(X2)))&((~(is_antisymmetric_in(the_InternalRel(X2),the_carrier(X2)))|antisymmetric_relstr(X2))|~(rel_str(X2)))),inference(distribute,[status(thm)],[62])).
% cnf(65,plain,(is_antisymmetric_in(the_InternalRel(X1),the_carrier(X1))|~rel_str(X1)|~antisymmetric_relstr(X1)),inference(split_conjunct,[status(thm)],[63])).
% fof(66, plain,![X1]:(~(rel_str(X1))|![X2]:(~(element(X2,the_carrier(X1)))|![X3]:(~(element(X3,the_carrier(X1)))|((~(related(X1,X2,X3))|in(ordered_pair(X2,X3),the_InternalRel(X1)))&(~(in(ordered_pair(X2,X3),the_InternalRel(X1)))|related(X1,X2,X3)))))),inference(fof_nnf,[status(thm)],[4])).
% fof(67, plain,![X4]:(~(rel_str(X4))|![X5]:(~(element(X5,the_carrier(X4)))|![X6]:(~(element(X6,the_carrier(X4)))|((~(related(X4,X5,X6))|in(ordered_pair(X5,X6),the_InternalRel(X4)))&(~(in(ordered_pair(X5,X6),the_InternalRel(X4)))|related(X4,X5,X6)))))),inference(variable_rename,[status(thm)],[66])).
% fof(68, plain,![X4]:![X5]:![X6]:(((~(element(X6,the_carrier(X4)))|((~(related(X4,X5,X6))|in(ordered_pair(X5,X6),the_InternalRel(X4)))&(~(in(ordered_pair(X5,X6),the_InternalRel(X4)))|related(X4,X5,X6))))|~(element(X5,the_carrier(X4))))|~(rel_str(X4))),inference(shift_quantors,[status(thm)],[67])).
% fof(69, plain,![X4]:![X5]:![X6]:(((((~(related(X4,X5,X6))|in(ordered_pair(X5,X6),the_InternalRel(X4)))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|~(rel_str(X4)))&((((~(in(ordered_pair(X5,X6),the_InternalRel(X4)))|related(X4,X5,X6))|~(element(X6,the_carrier(X4))))|~(element(X5,the_carrier(X4))))|~(rel_str(X4)))),inference(distribute,[status(thm)],[68])).
% cnf(71,plain,(in(ordered_pair(X2,X3),the_InternalRel(X1))|~rel_str(X1)|~element(X2,the_carrier(X1))|~element(X3,the_carrier(X1))|~related(X1,X2,X3)),inference(split_conjunct,[status(thm)],[69])).
% fof(72, plain,![X1]:![X2]:((~(empty(X1))|X1=X2)|~(empty(X2))),inference(fof_nnf,[status(thm)],[5])).
% fof(73, plain,![X3]:![X4]:((~(empty(X3))|X3=X4)|~(empty(X4))),inference(variable_rename,[status(thm)],[72])).
% cnf(74,plain,(X2=X1|~empty(X1)|~empty(X2)),inference(split_conjunct,[status(thm)],[73])).
% fof(78, plain,![X1]:(~(rel_str(X1))|relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(79, plain,![X2]:(~(rel_str(X2))|relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2))),inference(variable_rename,[status(thm)],[78])).
% cnf(80,plain,(relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))|~rel_str(X1)),inference(split_conjunct,[status(thm)],[79])).
% fof(95, plain,![X3]:![X4]:unordered_pair(X3,X4)=unordered_pair(X4,X3),inference(variable_rename,[status(thm)],[13])).
% cnf(96,plain,(unordered_pair(X1,X2)=unordered_pair(X2,X1)),inference(split_conjunct,[status(thm)],[95])).
% fof(97, plain,![X1]:![X2]:(~(in(X1,X2))|element(X1,X2)),inference(fof_nnf,[status(thm)],[14])).
% fof(98, plain,![X3]:![X4]:(~(in(X3,X4))|element(X3,X4)),inference(variable_rename,[status(thm)],[97])).
% cnf(99,plain,(element(X1,X2)|~in(X1,X2)),inference(split_conjunct,[status(thm)],[98])).
% fof(103, plain,![X1]:![X2]:(~(element(X1,X2))|(empty(X2)|in(X1,X2))),inference(fof_nnf,[status(thm)],[16])).
% fof(104, plain,![X3]:![X4]:(~(element(X3,X4))|(empty(X4)|in(X3,X4))),inference(variable_rename,[status(thm)],[103])).
% cnf(105,plain,(in(X1,X2)|empty(X2)|~element(X1,X2)),inference(split_conjunct,[status(thm)],[104])).
% cnf(109,plain,(empty(empty_set)),inference(split_conjunct,[status(thm)],[18])).
% fof(110, plain,![X1]:(empty(X1)|?[X2]:(element(X2,powerset(X1))&~(empty(X2)))),inference(fof_nnf,[status(thm)],[50])).
% fof(111, plain,![X3]:(empty(X3)|?[X4]:(element(X4,powerset(X3))&~(empty(X4)))),inference(variable_rename,[status(thm)],[110])).
% fof(112, plain,![X3]:(empty(X3)|(element(esk8_1(X3),powerset(X3))&~(empty(esk8_1(X3))))),inference(skolemize,[status(esa)],[111])).
% fof(113, plain,![X3]:((element(esk8_1(X3),powerset(X3))|empty(X3))&(~(empty(esk8_1(X3)))|empty(X3))),inference(distribute,[status(thm)],[112])).
% cnf(114,plain,(empty(X1)|~empty(esk8_1(X1))),inference(split_conjunct,[status(thm)],[113])).
% cnf(115,plain,(empty(X1)|element(esk8_1(X1),powerset(X1))),inference(split_conjunct,[status(thm)],[113])).
% fof(116, plain,![X3]:?[X4]:(element(X4,powerset(X3))&empty(X4)),inference(variable_rename,[status(thm)],[20])).
% fof(117, plain,![X3]:(element(esk9_1(X3),powerset(X3))&empty(esk9_1(X3))),inference(skolemize,[status(esa)],[116])).
% cnf(118,plain,(empty(esk9_1(X1))),inference(split_conjunct,[status(thm)],[117])).
% cnf(119,plain,(element(esk9_1(X1),powerset(X1))),inference(split_conjunct,[status(thm)],[117])).
% fof(120, plain,![X1]:![X2]:![X3]:![X4]:((~(in(ordered_pair(X1,X2),cartesian_product2(X3,X4)))|(in(X1,X3)&in(X2,X4)))&((~(in(X1,X3))|~(in(X2,X4)))|in(ordered_pair(X1,X2),cartesian_product2(X3,X4)))),inference(fof_nnf,[status(thm)],[21])).
% fof(121, plain,![X5]:![X6]:![X7]:![X8]:((~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))|(in(X5,X7)&in(X6,X8)))&((~(in(X5,X7))|~(in(X6,X8)))|in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))),inference(variable_rename,[status(thm)],[120])).
% fof(122, plain,![X5]:![X6]:![X7]:![X8]:(((in(X5,X7)|~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8))))&(in(X6,X8)|~(in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))))&((~(in(X5,X7))|~(in(X6,X8)))|in(ordered_pair(X5,X6),cartesian_product2(X7,X8)))),inference(distribute,[status(thm)],[121])).
% cnf(124,plain,(in(X2,X4)|~in(ordered_pair(X1,X2),cartesian_product2(X3,X4))),inference(split_conjunct,[status(thm)],[122])).
% fof(126, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|element(X1,X3)),inference(fof_nnf,[status(thm)],[22])).
% fof(127, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|element(X4,X6)),inference(variable_rename,[status(thm)],[126])).
% cnf(128,plain,(element(X1,X2)|~element(X3,powerset(X2))|~in(X1,X3)),inference(split_conjunct,[status(thm)],[127])).
% fof(129, plain,![X1]:(~(empty(X1))|X1=empty_set),inference(fof_nnf,[status(thm)],[23])).
% fof(130, plain,![X2]:(~(empty(X2))|X2=empty_set),inference(variable_rename,[status(thm)],[129])).
% cnf(131,plain,(X1=empty_set|~empty(X1)),inference(split_conjunct,[status(thm)],[130])).
% fof(138, plain,![X1]:![X2]:(~(in(X1,X2))|~(empty(X2))),inference(fof_nnf,[status(thm)],[26])).
% fof(139, plain,![X3]:![X4]:(~(in(X3,X4))|~(empty(X4))),inference(variable_rename,[status(thm)],[138])).
% cnf(140,plain,(~empty(X1)|~in(X2,X1)),inference(split_conjunct,[status(thm)],[139])).
% fof(141, plain,![X3]:![X4]:ordered_pair(X3,X4)=unordered_pair(unordered_pair(X3,X4),singleton(X3)),inference(variable_rename,[status(thm)],[27])).
% cnf(142,plain,(ordered_pair(X1,X2)=unordered_pair(unordered_pair(X1,X2),singleton(X1))),inference(split_conjunct,[status(thm)],[141])).
% fof(143, plain,![X1]:![X2]:![X3]:((~(in(X1,X2))|~(element(X2,powerset(X3))))|~(empty(X3))),inference(fof_nnf,[status(thm)],[28])).
% fof(144, plain,![X4]:![X5]:![X6]:((~(in(X4,X5))|~(element(X5,powerset(X6))))|~(empty(X6))),inference(variable_rename,[status(thm)],[143])).
% cnf(145,plain,(~empty(X1)|~element(X2,powerset(X1))|~in(X3,X2)),inference(split_conjunct,[status(thm)],[144])).
% fof(157, plain,![X1]:(~(relation(X1))|![X2]:((~(is_antisymmetric_in(X1,X2))|![X3]:![X4]:((((~(in(X3,X2))|~(in(X4,X2)))|~(in(ordered_pair(X3,X4),X1)))|~(in(ordered_pair(X4,X3),X1)))|X3=X4))&(?[X3]:?[X4]:((((in(X3,X2)&in(X4,X2))&in(ordered_pair(X3,X4),X1))&in(ordered_pair(X4,X3),X1))&~(X3=X4))|is_antisymmetric_in(X1,X2)))),inference(fof_nnf,[status(thm)],[33])).
% fof(158, plain,![X5]:(~(relation(X5))|![X6]:((~(is_antisymmetric_in(X5,X6))|![X7]:![X8]:((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8))&(?[X9]:?[X10]:((((in(X9,X6)&in(X10,X6))&in(ordered_pair(X9,X10),X5))&in(ordered_pair(X10,X9),X5))&~(X9=X10))|is_antisymmetric_in(X5,X6)))),inference(variable_rename,[status(thm)],[157])).
% fof(159, plain,![X5]:(~(relation(X5))|![X6]:((~(is_antisymmetric_in(X5,X6))|![X7]:![X8]:((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8))&(((((in(esk10_2(X5,X6),X6)&in(esk11_2(X5,X6),X6))&in(ordered_pair(esk10_2(X5,X6),esk11_2(X5,X6)),X5))&in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5))&~(esk10_2(X5,X6)=esk11_2(X5,X6)))|is_antisymmetric_in(X5,X6)))),inference(skolemize,[status(esa)],[158])).
% fof(160, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8)|~(is_antisymmetric_in(X5,X6)))&(((((in(esk10_2(X5,X6),X6)&in(esk11_2(X5,X6),X6))&in(ordered_pair(esk10_2(X5,X6),esk11_2(X5,X6)),X5))&in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5))&~(esk10_2(X5,X6)=esk11_2(X5,X6)))|is_antisymmetric_in(X5,X6)))|~(relation(X5))),inference(shift_quantors,[status(thm)],[159])).
% fof(161, plain,![X5]:![X6]:![X7]:![X8]:(((((((~(in(X7,X6))|~(in(X8,X6)))|~(in(ordered_pair(X7,X8),X5)))|~(in(ordered_pair(X8,X7),X5)))|X7=X8)|~(is_antisymmetric_in(X5,X6)))|~(relation(X5)))&((((((in(esk10_2(X5,X6),X6)|is_antisymmetric_in(X5,X6))|~(relation(X5)))&((in(esk11_2(X5,X6),X6)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((in(ordered_pair(esk10_2(X5,X6),esk11_2(X5,X6)),X5)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((in(ordered_pair(esk11_2(X5,X6),esk10_2(X5,X6)),X5)|is_antisymmetric_in(X5,X6))|~(relation(X5))))&((~(esk10_2(X5,X6)=esk11_2(X5,X6))|is_antisymmetric_in(X5,X6))|~(relation(X5))))),inference(distribute,[status(thm)],[160])).
% cnf(167,plain,(X3=X4|~relation(X1)|~is_antisymmetric_in(X1,X2)|~in(ordered_pair(X4,X3),X1)|~in(ordered_pair(X3,X4),X1)|~in(X4,X2)|~in(X3,X2)),inference(split_conjunct,[status(thm)],[161])).
% fof(168, plain,![X1]:![X2]:![X3]:(~(element(X3,powerset(cartesian_product2(X1,X2))))|relation(X3)),inference(fof_nnf,[status(thm)],[34])).
% fof(169, plain,![X4]:![X5]:![X6]:(~(element(X6,powerset(cartesian_product2(X4,X5))))|relation(X6)),inference(variable_rename,[status(thm)],[168])).
% cnf(170,plain,(relation(X1)|~element(X1,powerset(cartesian_product2(X2,X3)))),inference(split_conjunct,[status(thm)],[169])).
% fof(171, plain,![X1]:![X2]:![X3]:(~(relation_of2_as_subset(X3,X1,X2))|element(X3,powerset(cartesian_product2(X1,X2)))),inference(fof_nnf,[status(thm)],[35])).
% fof(172, plain,![X4]:![X5]:![X6]:(~(relation_of2_as_subset(X6,X4,X5))|element(X6,powerset(cartesian_product2(X4,X5)))),inference(variable_rename,[status(thm)],[171])).
% cnf(173,plain,(element(X1,powerset(cartesian_product2(X2,X3)))|~relation_of2_as_subset(X1,X2,X3)),inference(split_conjunct,[status(thm)],[172])).
% fof(184, negated_conjecture,?[X1]:((antisymmetric_relstr(X1)&rel_str(X1))&?[X2]:(element(X2,the_carrier(X1))&?[X3]:(element(X3,the_carrier(X1))&((related(X1,X2,X3)&related(X1,X3,X2))&~(X2=X3))))),inference(fof_nnf,[status(thm)],[47])).
% fof(185, negated_conjecture,?[X4]:((antisymmetric_relstr(X4)&rel_str(X4))&?[X5]:(element(X5,the_carrier(X4))&?[X6]:(element(X6,the_carrier(X4))&((related(X4,X5,X6)&related(X4,X6,X5))&~(X5=X6))))),inference(variable_rename,[status(thm)],[184])).
% fof(186, negated_conjecture,((antisymmetric_relstr(esk12_0)&rel_str(esk12_0))&(element(esk13_0,the_carrier(esk12_0))&(element(esk14_0,the_carrier(esk12_0))&((related(esk12_0,esk13_0,esk14_0)&related(esk12_0,esk14_0,esk13_0))&~(esk13_0=esk14_0))))),inference(skolemize,[status(esa)],[185])).
% cnf(187,negated_conjecture,(esk13_0!=esk14_0),inference(split_conjunct,[status(thm)],[186])).
% cnf(188,negated_conjecture,(related(esk12_0,esk14_0,esk13_0)),inference(split_conjunct,[status(thm)],[186])).
% cnf(189,negated_conjecture,(related(esk12_0,esk13_0,esk14_0)),inference(split_conjunct,[status(thm)],[186])).
% cnf(190,negated_conjecture,(element(esk14_0,the_carrier(esk12_0))),inference(split_conjunct,[status(thm)],[186])).
% cnf(191,negated_conjecture,(element(esk13_0,the_carrier(esk12_0))),inference(split_conjunct,[status(thm)],[186])).
% cnf(192,negated_conjecture,(rel_str(esk12_0)),inference(split_conjunct,[status(thm)],[186])).
% cnf(193,negated_conjecture,(antisymmetric_relstr(esk12_0)),inference(split_conjunct,[status(thm)],[186])).
% cnf(194,plain,(in(X2,X4)|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))),inference(rw,[status(thm)],[124,142,theory(equality)]),['unfolding']).
% cnf(200,plain,(in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1))|~rel_str(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(rw,[status(thm)],[71,142,theory(equality)]),['unfolding']).
% cnf(201,plain,(X3=X4|~relation(X1)|~is_antisymmetric_in(X1,X2)|~in(X4,X2)|~in(X3,X2)|~in(unordered_pair(unordered_pair(X4,X3),singleton(X4)),X1)|~in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[167,142,theory(equality)]),142,theory(equality)]),['unfolding']).
% cnf(207,plain,(empty_set=esk9_1(X1)),inference(spm,[status(thm)],[131,118,theory(equality)])).
% cnf(213,plain,(~empty(X1)|~in(X2,esk2_1(powerset(X1)))),inference(spm,[status(thm)],[145,60,theory(equality)])).
% cnf(220,plain,(element(X1,X2)|empty(X2)|~in(X1,esk8_1(X2))),inference(spm,[status(thm)],[128,115,theory(equality)])).
% cnf(221,plain,(element(X1,X2)|~in(X1,esk2_1(powerset(X2)))),inference(spm,[status(thm)],[128,60,theory(equality)])).
% cnf(224,negated_conjecture,(empty(the_carrier(esk12_0))|in(esk14_0,the_carrier(esk12_0))),inference(spm,[status(thm)],[105,190,theory(equality)])).
% cnf(225,negated_conjecture,(empty(the_carrier(esk12_0))|in(esk13_0,the_carrier(esk12_0))),inference(spm,[status(thm)],[105,191,theory(equality)])).
% cnf(228,plain,(empty(X1)|in(esk2_1(X1),X1)),inference(spm,[status(thm)],[105,60,theory(equality)])).
% cnf(234,plain,(element(X1,cartesian_product2(X2,X3))|~in(X1,X4)|~relation_of2_as_subset(X4,X2,X3)),inference(spm,[status(thm)],[128,173,theory(equality)])).
% cnf(235,plain,(~empty(cartesian_product2(X1,X2))|~in(X3,X4)|~relation_of2_as_subset(X4,X1,X2)),inference(spm,[status(thm)],[145,173,theory(equality)])).
% cnf(236,plain,(relation(X1)|~relation_of2_as_subset(X1,X2,X3)),inference(spm,[status(thm)],[170,173,theory(equality)])).
% cnf(240,plain,(in(X1,X2)|~in(unordered_pair(singleton(X3),unordered_pair(X3,X1)),cartesian_product2(X4,X2))),inference(spm,[status(thm)],[194,96,theory(equality)])).
% cnf(263,plain,(~empty(the_InternalRel(X1))|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))|~rel_str(X1)),inference(spm,[status(thm)],[140,200,theory(equality)])).
% cnf(268,plain,(in(unordered_pair(singleton(X1),unordered_pair(X1,X2)),the_InternalRel(X3))|~related(X3,X1,X2)|~element(X2,the_carrier(X3))|~element(X1,the_carrier(X3))|~rel_str(X3)),inference(spm,[status(thm)],[200,96,theory(equality)])).
% cnf(275,plain,(X1=X2|~relation(the_InternalRel(X3))|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))|~in(X2,X4)|~in(X1,X4)|~is_antisymmetric_in(the_InternalRel(X3),X4)|~related(X3,X2,X1)|~element(X1,the_carrier(X3))|~element(X2,the_carrier(X3))|~rel_str(X3)),inference(spm,[status(thm)],[201,200,theory(equality)])).
% cnf(287,plain,(element(empty_set,powerset(X1))),inference(rw,[status(thm)],[119,207,theory(equality)])).
% cnf(295,plain,(~empty(X1)|~in(X2,empty_set)),inference(spm,[status(thm)],[145,287,theory(equality)])).
% cnf(301,plain,(relation(the_InternalRel(X1))|~rel_str(X1)),inference(spm,[status(thm)],[236,80,theory(equality)])).
% cnf(310,plain,(empty(esk2_1(powerset(X1)))|~empty(X1)),inference(spm,[status(thm)],[213,228,theory(equality)])).
% cnf(323,negated_conjecture,(empty_set=the_carrier(esk12_0)|in(esk14_0,the_carrier(esk12_0))),inference(spm,[status(thm)],[131,224,theory(equality)])).
% cnf(326,negated_conjecture,(X1=the_carrier(esk12_0)|in(esk13_0,the_carrier(esk12_0))|~empty(X1)),inference(spm,[status(thm)],[74,225,theory(equality)])).
% cnf(333,plain,(element(esk2_1(esk2_1(powerset(X1))),X1)|empty(esk2_1(powerset(X1)))),inference(spm,[status(thm)],[221,228,theory(equality)])).
% fof(346, plain,(~(epred1_0)<=>![X1]:~(empty(X1))),introduced(definition),['split']).
% cnf(347,plain,(epred1_0|~empty(X1)),inference(split_equiv,[status(thm)],[346])).
% fof(348, plain,(~(epred2_0)<=>![X2]:~(in(X2,empty_set))),introduced(definition),['split']).
% cnf(349,plain,(epred2_0|~in(X2,empty_set)),inference(split_equiv,[status(thm)],[348])).
% cnf(350,plain,(~epred2_0|~epred1_0),inference(apply_def,[status(esa)],[inference(apply_def,[status(esa)],[295,346,theory(equality)]),348,theory(equality)]),['split']).
% cnf(351,plain,(epred1_0),inference(spm,[status(thm)],[347,109,theory(equality)])).
% cnf(354,plain,(~epred2_0|$false),inference(rw,[status(thm)],[350,351,theory(equality)])).
% cnf(355,plain,(~epred2_0),inference(cn,[status(thm)],[354,theory(equality)])).
% cnf(359,plain,(empty(X1)|element(esk2_1(esk8_1(X1)),X1)|empty(esk8_1(X1))),inference(spm,[status(thm)],[220,228,theory(equality)])).
% cnf(362,plain,(~in(X2,empty_set)),inference(sr,[status(thm)],[349,355,theory(equality)])).
% cnf(423,plain,(element(X1,cartesian_product2(the_carrier(X2),the_carrier(X2)))|~in(X1,the_InternalRel(X2))|~rel_str(X2)),inference(spm,[status(thm)],[234,80,theory(equality)])).
% cnf(429,negated_conjecture,(~empty(the_InternalRel(esk12_0))|~element(esk13_0,the_carrier(esk12_0))|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(spm,[status(thm)],[263,188,theory(equality)])).
% cnf(431,negated_conjecture,(~empty(the_InternalRel(esk12_0))|$false|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(rw,[status(thm)],[429,191,theory(equality)])).
% cnf(432,negated_conjecture,(~empty(the_InternalRel(esk12_0))|$false|$false|~rel_str(esk12_0)),inference(rw,[status(thm)],[431,190,theory(equality)])).
% cnf(433,negated_conjecture,(~empty(the_InternalRel(esk12_0))|$false|$false|$false),inference(rw,[status(thm)],[432,192,theory(equality)])).
% cnf(434,negated_conjecture,(~empty(the_InternalRel(esk12_0))),inference(cn,[status(thm)],[433,theory(equality)])).
% cnf(455,plain,(X1=esk2_1(powerset(X2))|~empty(X1)|~empty(X2)),inference(spm,[status(thm)],[74,310,theory(equality)])).
% cnf(459,negated_conjecture,(the_carrier(esk12_0)=esk2_1(powerset(X1))|in(esk13_0,the_carrier(esk12_0))|~empty(X1)),inference(spm,[status(thm)],[455,225,theory(equality)])).
% cnf(492,plain,(empty(cartesian_product2(the_carrier(X1),the_carrier(X1)))|in(X2,cartesian_product2(the_carrier(X1),the_carrier(X1)))|~in(X2,the_InternalRel(X1))|~rel_str(X1)),inference(spm,[status(thm)],[105,423,theory(equality)])).
% cnf(493,plain,(empty(X1)|element(esk2_1(esk8_1(X1)),X1)),inference(csr,[status(thm)],[359,114])).
% cnf(497,plain,(empty(X1)|in(esk2_1(esk8_1(X1)),X1)),inference(spm,[status(thm)],[105,493,theory(equality)])).
% cnf(593,negated_conjecture,(in(esk13_0,the_carrier(esk12_0))|~empty(X1)|~in(X2,the_carrier(esk12_0))),inference(spm,[status(thm)],[213,459,theory(equality)])).
% cnf(639,plain,(empty(X1)|in(esk2_1(esk2_1(powerset(X1))),X1)|empty(esk2_1(powerset(X1)))),inference(spm,[status(thm)],[105,333,theory(equality)])).
% cnf(861,plain,(X1=X2|~in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))|~in(X2,X4)|~in(X1,X4)|~related(X3,X2,X1)|~is_antisymmetric_in(the_InternalRel(X3),X4)|~element(X1,the_carrier(X3))|~element(X2,the_carrier(X3))|~rel_str(X3)),inference(csr,[status(thm)],[275,301])).
% cnf(866,plain,(X1=X2|~in(X2,X4)|~in(X1,X4)|~related(X3,X2,X1)|~is_antisymmetric_in(the_InternalRel(X3),X4)|~element(X1,the_carrier(X3))|~element(X2,the_carrier(X3))|~rel_str(X3)|~related(X3,X1,X2)),inference(spm,[status(thm)],[861,200,theory(equality)])).
% cnf(1460,plain,(empty(cartesian_product2(the_carrier(X1),the_carrier(X1)))|in(unordered_pair(singleton(X2),unordered_pair(X2,X3)),cartesian_product2(the_carrier(X1),the_carrier(X1)))|~rel_str(X1)|~related(X1,X2,X3)|~element(X3,the_carrier(X1))|~element(X2,the_carrier(X1))),inference(spm,[status(thm)],[492,268,theory(equality)])).
% cnf(1534,plain,(empty(esk2_1(powerset(X1)))|in(esk2_1(esk2_1(powerset(X1))),X1)),inference(csr,[status(thm)],[639,310])).
% cnf(1557,negated_conjecture,(in(esk13_0,the_carrier(esk12_0))|empty(esk2_1(powerset(the_carrier(esk12_0))))|~empty(X1)),inference(spm,[status(thm)],[593,1534,theory(equality)])).
% cnf(2030,negated_conjecture,(empty(esk2_1(powerset(the_carrier(esk12_0))))|in(esk13_0,the_carrier(esk12_0))),inference(spm,[status(thm)],[1557,109,theory(equality)])).
% cnf(2035,negated_conjecture,(esk2_1(powerset(the_carrier(esk12_0)))=the_carrier(esk12_0)|in(esk13_0,the_carrier(esk12_0))),inference(spm,[status(thm)],[326,2030,theory(equality)])).
% cnf(2053,negated_conjecture,(in(esk13_0,the_carrier(esk12_0))|~empty(the_carrier(esk12_0))|~in(X1,the_carrier(esk12_0))),inference(spm,[status(thm)],[213,2035,theory(equality)])).
% cnf(2143,negated_conjecture,(in(esk13_0,the_carrier(esk12_0))|~in(X1,the_carrier(esk12_0))),inference(csr,[status(thm)],[2053,225])).
% cnf(4646,plain,(X1=X2|~in(X2,the_carrier(X3))|~in(X1,the_carrier(X3))|~related(X3,X2,X1)|~related(X3,X1,X2)|~element(X1,the_carrier(X3))|~element(X2,the_carrier(X3))|~rel_str(X3)|~antisymmetric_relstr(X3)),inference(spm,[status(thm)],[866,65,theory(equality)])).
% cnf(4649,plain,(X1=X2|~in(X2,the_carrier(X3))|~in(X1,the_carrier(X3))|~related(X3,X2,X1)|~related(X3,X1,X2)|~antisymmetric_relstr(X3)|~element(X1,the_carrier(X3))|~rel_str(X3)),inference(csr,[status(thm)],[4646,99])).
% cnf(4650,plain,(X1=X2|~in(X2,the_carrier(X3))|~in(X1,the_carrier(X3))|~related(X3,X2,X1)|~related(X3,X1,X2)|~antisymmetric_relstr(X3)|~rel_str(X3)),inference(csr,[status(thm)],[4649,99])).
% cnf(4651,negated_conjecture,(esk13_0=esk14_0|~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))|~related(esk12_0,esk13_0,esk14_0)|~antisymmetric_relstr(esk12_0)|~rel_str(esk12_0)),inference(spm,[status(thm)],[4650,188,theory(equality)])).
% cnf(4654,negated_conjecture,(esk13_0=esk14_0|~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))|$false|~antisymmetric_relstr(esk12_0)|~rel_str(esk12_0)),inference(rw,[status(thm)],[4651,189,theory(equality)])).
% cnf(4655,negated_conjecture,(esk13_0=esk14_0|~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))|$false|$false|~rel_str(esk12_0)),inference(rw,[status(thm)],[4654,193,theory(equality)])).
% cnf(4656,negated_conjecture,(esk13_0=esk14_0|~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))|$false|$false|$false),inference(rw,[status(thm)],[4655,192,theory(equality)])).
% cnf(4657,negated_conjecture,(esk13_0=esk14_0|~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))),inference(cn,[status(thm)],[4656,theory(equality)])).
% cnf(4658,negated_conjecture,(~in(esk14_0,the_carrier(esk12_0))|~in(esk13_0,the_carrier(esk12_0))),inference(sr,[status(thm)],[4657,187,theory(equality)])).
% cnf(4664,negated_conjecture,(~in(esk14_0,the_carrier(esk12_0))),inference(csr,[status(thm)],[4658,2143])).
% cnf(4666,negated_conjecture,(the_carrier(esk12_0)=empty_set),inference(sr,[status(thm)],[323,4664,theory(equality)])).
% cnf(4676,negated_conjecture,(relation_of2_as_subset(the_InternalRel(esk12_0),empty_set,empty_set)|~rel_str(esk12_0)),inference(spm,[status(thm)],[80,4666,theory(equality)])).
% cnf(4818,negated_conjecture,(element(esk14_0,empty_set)),inference(rw,[status(thm)],[190,4666,theory(equality)])).
% cnf(4819,negated_conjecture,(element(esk13_0,empty_set)),inference(rw,[status(thm)],[191,4666,theory(equality)])).
% cnf(4826,negated_conjecture,(relation_of2_as_subset(the_InternalRel(esk12_0),empty_set,empty_set)|$false),inference(rw,[status(thm)],[4676,192,theory(equality)])).
% cnf(4827,negated_conjecture,(relation_of2_as_subset(the_InternalRel(esk12_0),empty_set,empty_set)),inference(cn,[status(thm)],[4826,theory(equality)])).
% cnf(11875,plain,(in(X1,the_carrier(X2))|empty(cartesian_product2(the_carrier(X2),the_carrier(X2)))|~related(X2,X3,X1)|~element(X1,the_carrier(X2))|~element(X3,the_carrier(X2))|~rel_str(X2)),inference(spm,[status(thm)],[240,1460,theory(equality)])).
% cnf(11892,negated_conjecture,(empty(cartesian_product2(the_carrier(esk12_0),the_carrier(esk12_0)))|in(esk13_0,the_carrier(esk12_0))|~element(esk13_0,the_carrier(esk12_0))|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(spm,[status(thm)],[11875,188,theory(equality)])).
% cnf(11895,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,the_carrier(esk12_0))|~element(esk13_0,the_carrier(esk12_0))|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11892,4666,theory(equality)]),4666,theory(equality)])).
% cnf(11896,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,empty_set)|~element(esk13_0,the_carrier(esk12_0))|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(rw,[status(thm)],[11895,4666,theory(equality)])).
% cnf(11897,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,empty_set)|$false|~element(esk14_0,the_carrier(esk12_0))|~rel_str(esk12_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11896,4666,theory(equality)]),4819,theory(equality)])).
% cnf(11898,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,empty_set)|$false|$false|~rel_str(esk12_0)),inference(rw,[status(thm)],[inference(rw,[status(thm)],[11897,4666,theory(equality)]),4818,theory(equality)])).
% cnf(11899,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,empty_set)|$false|$false|$false),inference(rw,[status(thm)],[11898,192,theory(equality)])).
% cnf(11900,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))|in(esk13_0,empty_set)),inference(cn,[status(thm)],[11899,theory(equality)])).
% cnf(11901,negated_conjecture,(empty(cartesian_product2(empty_set,empty_set))),inference(sr,[status(thm)],[11900,362,theory(equality)])).
% cnf(11909,negated_conjecture,(empty_set=cartesian_product2(empty_set,empty_set)),inference(spm,[status(thm)],[131,11901,theory(equality)])).
% cnf(12062,negated_conjecture,(~relation_of2_as_subset(X1,empty_set,empty_set)|~empty(empty_set)|~in(X2,X1)),inference(spm,[status(thm)],[235,11909,theory(equality)])).
% cnf(12211,negated_conjecture,(~relation_of2_as_subset(X1,empty_set,empty_set)|$false|~in(X2,X1)),inference(rw,[status(thm)],[12062,109,theory(equality)])).
% cnf(12212,negated_conjecture,(~relation_of2_as_subset(X1,empty_set,empty_set)|~in(X2,X1)),inference(cn,[status(thm)],[12211,theory(equality)])).
% cnf(12707,negated_conjecture,(~in(X1,the_InternalRel(esk12_0))),inference(spm,[status(thm)],[12212,4827,theory(equality)])).
% cnf(12730,negated_conjecture,(empty(the_InternalRel(esk12_0))),inference(spm,[status(thm)],[12707,497,theory(equality)])).
% cnf(12761,negated_conjecture,($false),inference(sr,[status(thm)],[12730,434,theory(equality)])).
% cnf(12762,negated_conjecture,($false),12761,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 2518
% # ...of these trivial : 16
% # ...subsumed : 1683
% # ...remaining for further processing: 819
% # Other redundant clauses eliminated : 0
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 47
% # Backward-rewritten : 81
% # Generated clauses : 8694
% # ...of the previous two non-trivial : 7753
% # Contextual simplify-reflections : 1283
% # Paramodulations : 8661
% # Factorizations : 0
% # Equation resolutions : 0
% # Current number of processed clauses: 674
% # Positive orientable unit clauses: 66
% # Positive unorientable unit clauses: 1
% # Negative unit clauses : 20
% # Non-unit-clauses : 587
% # Current number of unprocessed clauses: 4175
% # ...number of literals in the above : 15917
% # Clause-clause subsumption calls (NU) : 64549
% # Rec. Clause-clause subsumption calls : 44623
% # Unit Clause-clause subsumption calls : 4794
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 84
% # Indexed BW rewrite successes : 17
% # Backwards rewriting index: 535 leaves, 2.45+/-3.726 terms/leaf
% # Paramod-from index: 191 leaves, 2.24+/-3.442 terms/leaf
% # Paramod-into index: 485 leaves, 2.37+/-3.783 terms/leaf
% # -------------------------------------------------
% # User time : 0.519 s
% # System time : 0.017 s
% # Total time : 0.536 s
% # Maximum resident set size: 0 pages
% PrfWatch: 0.76 CPU 0.87 WC
% FINAL PrfWatch: 0.76 CPU 0.87 WC
% SZS output end Solution for /tmp/SystemOnTPTP26159/SEU339+1.tptp
%
%------------------------------------------------------------------------------