TSTP Solution File: SEU261+2 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU261+2 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %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 : Sun Dec 26 06:27:14 EST 2010
% Result : Theorem 2.35s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 11
% Syntax : Number of formulae : 147 ( 25 unt; 0 def)
% Number of atoms : 814 ( 35 equ)
% Maximal formula atoms : 90 ( 5 avg)
% Number of connectives : 1079 ( 412 ~; 463 |; 158 &)
% ( 9 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn 93 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(7,conjecture,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( ( well_ordering(X1)
& relation_isomorphism(X1,X2,X3) )
=> well_ordering(X2) ) ) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',t54_wellord1) ).
fof(30,axiom,
! [X1] :
( relation(X1)
=> ( well_founded_relation(X1)
<=> is_well_founded_in(X1,relation_field(X1)) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',t5_wellord1) ).
fof(55,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( relation_isomorphism(X1,X2,X3)
=> ( ( reflexive(X1)
=> reflexive(X2) )
& ( transitive(X1)
=> transitive(X2) )
& ( connected(X1)
=> connected(X2) )
& ( antisymmetric(X1)
=> antisymmetric(X2) )
& ( well_founded_relation(X1)
=> well_founded_relation(X2) ) ) ) ) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',t53_wellord1) ).
fof(115,axiom,
! [X1] :
( relation(X1)
=> ( transitive(X1)
<=> is_transitive_in(X1,relation_field(X1)) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d16_relat_2) ).
fof(201,axiom,
! [X1] :
( relation(X1)
=> ( reflexive(X1)
<=> is_reflexive_in(X1,relation_field(X1)) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d9_relat_2) ).
fof(233,axiom,
! [X1] :
( relation(X1)
=> ( antisymmetric(X1)
<=> is_antisymmetric_in(X1,relation_field(X1)) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d12_relat_2) ).
fof(242,axiom,
! [X1] :
( relation(X1)
=> ( well_ordering(X1)
<=> ( reflexive(X1)
& transitive(X1)
& antisymmetric(X1)
& connected(X1)
& well_founded_relation(X1) ) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d4_wellord1) ).
fof(243,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( relation_isomorphism(X1,X2,X3)
<=> ( relation_dom(X3) = relation_field(X1)
& relation_rng(X3) = relation_field(X2)
& one_to_one(X3)
& ! [X4,X5] :
( in(ordered_pair(X4,X5),X1)
<=> ( in(X4,relation_field(X1))
& in(X5,relation_field(X1))
& in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2) ) ) ) ) ) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d7_wellord1) ).
fof(271,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( well_orders(X1,X2)
<=> ( is_reflexive_in(X1,X2)
& is_transitive_in(X1,X2)
& is_antisymmetric_in(X1,X2)
& is_connected_in(X1,X2)
& is_well_founded_in(X1,X2) ) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',d5_wellord1) ).
fof(306,axiom,
! [X1] :
( relation(X1)
=> ( well_orders(X1,relation_field(X1))
<=> well_ordering(X1) ) ),
file('/tmp/tmpjPjOGu/sel_SEU261+2.p_1',t8_wellord1) ).
fof(322,negated_conjecture,
~ ! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( ( well_ordering(X1)
& relation_isomorphism(X1,X2,X3) )
=> well_ordering(X2) ) ) ) ),
inference(assume_negation,[status(cth)],[7]) ).
fof(358,plain,
! [X1,X2] :
( epred1_2(X2,X1)
=> ( ( reflexive(X1)
=> reflexive(X2) )
& ( transitive(X1)
=> transitive(X2) )
& ( connected(X1)
=> connected(X2) )
& ( antisymmetric(X1)
=> antisymmetric(X2) )
& ( well_founded_relation(X1)
=> well_founded_relation(X2) ) ) ),
introduced(definition) ).
fof(359,plain,
! [X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ! [X3] :
( ( relation(X3)
& function(X3) )
=> ( relation_isomorphism(X1,X2,X3)
=> epred1_2(X2,X1) ) ) ) ),
inference(apply_def,[status(esa)],[55,358,theory(equality)]) ).
fof(386,negated_conjecture,
? [X1] :
( relation(X1)
& ? [X2] :
( relation(X2)
& ? [X3] :
( relation(X3)
& function(X3)
& well_ordering(X1)
& relation_isomorphism(X1,X2,X3)
& ~ well_ordering(X2) ) ) ),
inference(fof_nnf,[status(thm)],[322]) ).
fof(387,negated_conjecture,
? [X4] :
( relation(X4)
& ? [X5] :
( relation(X5)
& ? [X6] :
( relation(X6)
& function(X6)
& well_ordering(X4)
& relation_isomorphism(X4,X5,X6)
& ~ well_ordering(X5) ) ) ),
inference(variable_rename,[status(thm)],[386]) ).
fof(388,negated_conjecture,
( relation(esk5_0)
& relation(esk6_0)
& relation(esk7_0)
& function(esk7_0)
& well_ordering(esk5_0)
& relation_isomorphism(esk5_0,esk6_0,esk7_0)
& ~ well_ordering(esk6_0) ),
inference(skolemize,[status(esa)],[387]) ).
cnf(389,negated_conjecture,
~ well_ordering(esk6_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(390,negated_conjecture,
relation_isomorphism(esk5_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(391,negated_conjecture,
well_ordering(esk5_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(392,negated_conjecture,
function(esk7_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(393,negated_conjecture,
relation(esk7_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(394,negated_conjecture,
relation(esk6_0),
inference(split_conjunct,[status(thm)],[388]) ).
cnf(395,negated_conjecture,
relation(esk5_0),
inference(split_conjunct,[status(thm)],[388]) ).
fof(506,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ well_founded_relation(X1)
| is_well_founded_in(X1,relation_field(X1)) )
& ( ~ is_well_founded_in(X1,relation_field(X1))
| well_founded_relation(X1) ) ) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(507,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ well_founded_relation(X2)
| is_well_founded_in(X2,relation_field(X2)) )
& ( ~ is_well_founded_in(X2,relation_field(X2))
| well_founded_relation(X2) ) ) ),
inference(variable_rename,[status(thm)],[506]) ).
fof(508,plain,
! [X2] :
( ( ~ well_founded_relation(X2)
| is_well_founded_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_well_founded_in(X2,relation_field(X2))
| well_founded_relation(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[507]) ).
cnf(509,plain,
( well_founded_relation(X1)
| ~ relation(X1)
| ~ is_well_founded_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[508]) ).
fof(614,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ~ relation_isomorphism(X1,X2,X3)
| epred1_2(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[359]) ).
fof(615,plain,
! [X4] :
( ~ relation(X4)
| ! [X5] :
( ~ relation(X5)
| ! [X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ relation_isomorphism(X4,X5,X6)
| epred1_2(X5,X4) ) ) ),
inference(variable_rename,[status(thm)],[614]) ).
fof(616,plain,
! [X4,X5,X6] :
( ~ relation(X6)
| ~ function(X6)
| ~ relation_isomorphism(X4,X5,X6)
| epred1_2(X5,X4)
| ~ relation(X5)
| ~ relation(X4) ),
inference(shift_quantors,[status(thm)],[615]) ).
cnf(617,plain,
( epred1_2(X2,X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ relation_isomorphism(X1,X2,X3)
| ~ function(X3)
| ~ relation(X3) ),
inference(split_conjunct,[status(thm)],[616]) ).
fof(865,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ transitive(X1)
| is_transitive_in(X1,relation_field(X1)) )
& ( ~ is_transitive_in(X1,relation_field(X1))
| transitive(X1) ) ) ),
inference(fof_nnf,[status(thm)],[115]) ).
fof(866,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ transitive(X2)
| is_transitive_in(X2,relation_field(X2)) )
& ( ~ is_transitive_in(X2,relation_field(X2))
| transitive(X2) ) ) ),
inference(variable_rename,[status(thm)],[865]) ).
fof(867,plain,
! [X2] :
( ( ~ transitive(X2)
| is_transitive_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_transitive_in(X2,relation_field(X2))
| transitive(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[866]) ).
cnf(868,plain,
( transitive(X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[867]) ).
fof(1249,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ reflexive(X1)
| is_reflexive_in(X1,relation_field(X1)) )
& ( ~ is_reflexive_in(X1,relation_field(X1))
| reflexive(X1) ) ) ),
inference(fof_nnf,[status(thm)],[201]) ).
fof(1250,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ reflexive(X2)
| is_reflexive_in(X2,relation_field(X2)) )
& ( ~ is_reflexive_in(X2,relation_field(X2))
| reflexive(X2) ) ) ),
inference(variable_rename,[status(thm)],[1249]) ).
fof(1251,plain,
! [X2] :
( ( ~ reflexive(X2)
| is_reflexive_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_reflexive_in(X2,relation_field(X2))
| reflexive(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[1250]) ).
cnf(1252,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ is_reflexive_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[1251]) ).
fof(1397,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ antisymmetric(X1)
| is_antisymmetric_in(X1,relation_field(X1)) )
& ( ~ is_antisymmetric_in(X1,relation_field(X1))
| antisymmetric(X1) ) ) ),
inference(fof_nnf,[status(thm)],[233]) ).
fof(1398,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2)) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2) ) ) ),
inference(variable_rename,[status(thm)],[1397]) ).
fof(1399,plain,
! [X2] :
( ( ~ antisymmetric(X2)
| is_antisymmetric_in(X2,relation_field(X2))
| ~ relation(X2) )
& ( ~ is_antisymmetric_in(X2,relation_field(X2))
| antisymmetric(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[1398]) ).
cnf(1400,plain,
( antisymmetric(X1)
| ~ relation(X1)
| ~ is_antisymmetric_in(X1,relation_field(X1)) ),
inference(split_conjunct,[status(thm)],[1399]) ).
fof(1434,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ well_ordering(X1)
| ( reflexive(X1)
& transitive(X1)
& antisymmetric(X1)
& connected(X1)
& well_founded_relation(X1) ) )
& ( ~ reflexive(X1)
| ~ transitive(X1)
| ~ antisymmetric(X1)
| ~ connected(X1)
| ~ well_founded_relation(X1)
| well_ordering(X1) ) ) ),
inference(fof_nnf,[status(thm)],[242]) ).
fof(1435,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ well_ordering(X2)
| ( reflexive(X2)
& transitive(X2)
& antisymmetric(X2)
& connected(X2)
& well_founded_relation(X2) ) )
& ( ~ reflexive(X2)
| ~ transitive(X2)
| ~ antisymmetric(X2)
| ~ connected(X2)
| ~ well_founded_relation(X2)
| well_ordering(X2) ) ) ),
inference(variable_rename,[status(thm)],[1434]) ).
fof(1436,plain,
! [X2] :
( ( reflexive(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( transitive(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( antisymmetric(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( connected(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( well_founded_relation(X2)
| ~ well_ordering(X2)
| ~ relation(X2) )
& ( ~ reflexive(X2)
| ~ transitive(X2)
| ~ antisymmetric(X2)
| ~ connected(X2)
| ~ well_founded_relation(X2)
| well_ordering(X2)
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[1435]) ).
cnf(1437,plain,
( well_ordering(X1)
| ~ relation(X1)
| ~ well_founded_relation(X1)
| ~ connected(X1)
| ~ antisymmetric(X1)
| ~ transitive(X1)
| ~ reflexive(X1) ),
inference(split_conjunct,[status(thm)],[1436]) ).
cnf(1439,plain,
( connected(X1)
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[1436]) ).
fof(1443,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ~ relation(X2)
| ! [X3] :
( ~ relation(X3)
| ~ function(X3)
| ( ( ~ relation_isomorphism(X1,X2,X3)
| ( relation_dom(X3) = relation_field(X1)
& relation_rng(X3) = relation_field(X2)
& one_to_one(X3)
& ! [X4,X5] :
( ( ~ in(ordered_pair(X4,X5),X1)
| ( in(X4,relation_field(X1))
& in(X5,relation_field(X1))
& in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2) ) )
& ( ~ in(X4,relation_field(X1))
| ~ in(X5,relation_field(X1))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2)
| in(ordered_pair(X4,X5),X1) ) ) ) )
& ( relation_dom(X3) != relation_field(X1)
| relation_rng(X3) != relation_field(X2)
| ~ one_to_one(X3)
| ? [X4,X5] :
( ( ~ in(ordered_pair(X4,X5),X1)
| ~ in(X4,relation_field(X1))
| ~ in(X5,relation_field(X1))
| ~ in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2) )
& ( in(ordered_pair(X4,X5),X1)
| ( in(X4,relation_field(X1))
& in(X5,relation_field(X1))
& in(ordered_pair(apply(X3,X4),apply(X3,X5)),X2) ) ) )
| relation_isomorphism(X1,X2,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[243]) ).
fof(1444,plain,
! [X6] :
( ~ relation(X6)
| ! [X7] :
( ~ relation(X7)
| ! [X8] :
( ~ relation(X8)
| ~ function(X8)
| ( ( ~ relation_isomorphism(X6,X7,X8)
| ( relation_dom(X8) = relation_field(X6)
& relation_rng(X8) = relation_field(X7)
& one_to_one(X8)
& ! [X9,X10] :
( ( ~ in(ordered_pair(X9,X10),X6)
| ( in(X9,relation_field(X6))
& in(X10,relation_field(X6))
& in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7) ) )
& ( ~ in(X9,relation_field(X6))
| ~ in(X10,relation_field(X6))
| ~ in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)
| in(ordered_pair(X9,X10),X6) ) ) ) )
& ( relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| ? [X11,X12] :
( ( ~ in(ordered_pair(X11,X12),X6)
| ~ in(X11,relation_field(X6))
| ~ in(X12,relation_field(X6))
| ~ in(ordered_pair(apply(X8,X11),apply(X8,X12)),X7) )
& ( in(ordered_pair(X11,X12),X6)
| ( in(X11,relation_field(X6))
& in(X12,relation_field(X6))
& in(ordered_pair(apply(X8,X11),apply(X8,X12)),X7) ) ) )
| relation_isomorphism(X6,X7,X8) ) ) ) ) ),
inference(variable_rename,[status(thm)],[1443]) ).
fof(1445,plain,
! [X6] :
( ~ relation(X6)
| ! [X7] :
( ~ relation(X7)
| ! [X8] :
( ~ relation(X8)
| ~ function(X8)
| ( ( ~ relation_isomorphism(X6,X7,X8)
| ( relation_dom(X8) = relation_field(X6)
& relation_rng(X8) = relation_field(X7)
& one_to_one(X8)
& ! [X9,X10] :
( ( ~ in(ordered_pair(X9,X10),X6)
| ( in(X9,relation_field(X6))
& in(X10,relation_field(X6))
& in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7) ) )
& ( ~ in(X9,relation_field(X6))
| ~ in(X10,relation_field(X6))
| ~ in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)
| in(ordered_pair(X9,X10),X6) ) ) ) )
& ( relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| ( ( ~ in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| ~ in(esk93_3(X6,X7,X8),relation_field(X6))
| ~ in(esk94_3(X6,X7,X8),relation_field(X6))
| ~ in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7) )
& ( in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| ( in(esk93_3(X6,X7,X8),relation_field(X6))
& in(esk94_3(X6,X7,X8),relation_field(X6))
& in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7) ) ) )
| relation_isomorphism(X6,X7,X8) ) ) ) ) ),
inference(skolemize,[status(esa)],[1444]) ).
fof(1446,plain,
! [X6,X7,X8,X9,X10] :
( ( ( ( ( ~ in(ordered_pair(X9,X10),X6)
| ( in(X9,relation_field(X6))
& in(X10,relation_field(X6))
& in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7) ) )
& ( ~ in(X9,relation_field(X6))
| ~ in(X10,relation_field(X6))
| ~ in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)
| in(ordered_pair(X9,X10),X6) )
& relation_dom(X8) = relation_field(X6)
& relation_rng(X8) = relation_field(X7)
& one_to_one(X8) )
| ~ relation_isomorphism(X6,X7,X8) )
& ( relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| ( ( ~ in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| ~ in(esk93_3(X6,X7,X8),relation_field(X6))
| ~ in(esk94_3(X6,X7,X8),relation_field(X6))
| ~ in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7) )
& ( in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| ( in(esk93_3(X6,X7,X8),relation_field(X6))
& in(esk94_3(X6,X7,X8),relation_field(X6))
& in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7) ) ) )
| relation_isomorphism(X6,X7,X8) ) )
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) ),
inference(shift_quantors,[status(thm)],[1445]) ).
fof(1447,plain,
! [X6,X7,X8,X9,X10] :
( ( in(X9,relation_field(X6))
| ~ in(ordered_pair(X9,X10),X6)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( in(X10,relation_field(X6))
| ~ in(ordered_pair(X9,X10),X6)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)
| ~ in(ordered_pair(X9,X10),X6)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( ~ in(X9,relation_field(X6))
| ~ in(X10,relation_field(X6))
| ~ in(ordered_pair(apply(X8,X9),apply(X8,X10)),X7)
| in(ordered_pair(X9,X10),X6)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( relation_dom(X8) = relation_field(X6)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( relation_rng(X8) = relation_field(X7)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( one_to_one(X8)
| ~ relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| ~ in(esk93_3(X6,X7,X8),relation_field(X6))
| ~ in(esk94_3(X6,X7,X8),relation_field(X6))
| ~ in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7)
| relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( in(esk93_3(X6,X7,X8),relation_field(X6))
| in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( in(esk94_3(X6,X7,X8),relation_field(X6))
| in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) )
& ( in(ordered_pair(apply(X8,esk93_3(X6,X7,X8)),apply(X8,esk94_3(X6,X7,X8))),X7)
| in(ordered_pair(esk93_3(X6,X7,X8),esk94_3(X6,X7,X8)),X6)
| relation_dom(X8) != relation_field(X6)
| relation_rng(X8) != relation_field(X7)
| ~ one_to_one(X8)
| relation_isomorphism(X6,X7,X8)
| ~ relation(X8)
| ~ function(X8)
| ~ relation(X7)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[1446]) ).
cnf(1454,plain,
( relation_dom(X3) = relation_field(X1)
| ~ relation(X1)
| ~ relation(X2)
| ~ function(X3)
| ~ relation(X3)
| ~ relation_isomorphism(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[1447]) ).
fof(1582,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ~ well_orders(X1,X2)
| ( is_reflexive_in(X1,X2)
& is_transitive_in(X1,X2)
& is_antisymmetric_in(X1,X2)
& is_connected_in(X1,X2)
& is_well_founded_in(X1,X2) ) )
& ( ~ is_reflexive_in(X1,X2)
| ~ is_transitive_in(X1,X2)
| ~ is_antisymmetric_in(X1,X2)
| ~ is_connected_in(X1,X2)
| ~ is_well_founded_in(X1,X2)
| well_orders(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[271]) ).
fof(1583,plain,
! [X3] :
( ~ relation(X3)
| ! [X4] :
( ( ~ well_orders(X3,X4)
| ( is_reflexive_in(X3,X4)
& is_transitive_in(X3,X4)
& is_antisymmetric_in(X3,X4)
& is_connected_in(X3,X4)
& is_well_founded_in(X3,X4) ) )
& ( ~ is_reflexive_in(X3,X4)
| ~ is_transitive_in(X3,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ is_connected_in(X3,X4)
| ~ is_well_founded_in(X3,X4)
| well_orders(X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[1582]) ).
fof(1584,plain,
! [X3,X4] :
( ( ( ~ well_orders(X3,X4)
| ( is_reflexive_in(X3,X4)
& is_transitive_in(X3,X4)
& is_antisymmetric_in(X3,X4)
& is_connected_in(X3,X4)
& is_well_founded_in(X3,X4) ) )
& ( ~ is_reflexive_in(X3,X4)
| ~ is_transitive_in(X3,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ is_connected_in(X3,X4)
| ~ is_well_founded_in(X3,X4)
| well_orders(X3,X4) ) )
| ~ relation(X3) ),
inference(shift_quantors,[status(thm)],[1583]) ).
fof(1585,plain,
! [X3,X4] :
( ( is_reflexive_in(X3,X4)
| ~ well_orders(X3,X4)
| ~ relation(X3) )
& ( is_transitive_in(X3,X4)
| ~ well_orders(X3,X4)
| ~ relation(X3) )
& ( is_antisymmetric_in(X3,X4)
| ~ well_orders(X3,X4)
| ~ relation(X3) )
& ( is_connected_in(X3,X4)
| ~ well_orders(X3,X4)
| ~ relation(X3) )
& ( is_well_founded_in(X3,X4)
| ~ well_orders(X3,X4)
| ~ relation(X3) )
& ( ~ is_reflexive_in(X3,X4)
| ~ is_transitive_in(X3,X4)
| ~ is_antisymmetric_in(X3,X4)
| ~ is_connected_in(X3,X4)
| ~ is_well_founded_in(X3,X4)
| well_orders(X3,X4)
| ~ relation(X3) ) ),
inference(distribute,[status(thm)],[1584]) ).
cnf(1587,plain,
( is_well_founded_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[1585]) ).
cnf(1589,plain,
( is_antisymmetric_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[1585]) ).
cnf(1590,plain,
( is_transitive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[1585]) ).
cnf(1591,plain,
( is_reflexive_in(X1,X2)
| ~ relation(X1)
| ~ well_orders(X1,X2) ),
inference(split_conjunct,[status(thm)],[1585]) ).
fof(1757,plain,
! [X1] :
( ~ relation(X1)
| ( ( ~ well_orders(X1,relation_field(X1))
| well_ordering(X1) )
& ( ~ well_ordering(X1)
| well_orders(X1,relation_field(X1)) ) ) ),
inference(fof_nnf,[status(thm)],[306]) ).
fof(1758,plain,
! [X2] :
( ~ relation(X2)
| ( ( ~ well_orders(X2,relation_field(X2))
| well_ordering(X2) )
& ( ~ well_ordering(X2)
| well_orders(X2,relation_field(X2)) ) ) ),
inference(variable_rename,[status(thm)],[1757]) ).
fof(1759,plain,
! [X2] :
( ( ~ well_orders(X2,relation_field(X2))
| well_ordering(X2)
| ~ relation(X2) )
& ( ~ well_ordering(X2)
| well_orders(X2,relation_field(X2))
| ~ relation(X2) ) ),
inference(distribute,[status(thm)],[1758]) ).
cnf(1760,plain,
( well_orders(X1,relation_field(X1))
| ~ relation(X1)
| ~ well_ordering(X1) ),
inference(split_conjunct,[status(thm)],[1759]) ).
fof(1858,plain,
! [X1,X2] :
( ~ epred1_2(X2,X1)
| ( ( ~ reflexive(X1)
| reflexive(X2) )
& ( ~ transitive(X1)
| transitive(X2) )
& ( ~ connected(X1)
| connected(X2) )
& ( ~ antisymmetric(X1)
| antisymmetric(X2) )
& ( ~ well_founded_relation(X1)
| well_founded_relation(X2) ) ) ),
inference(fof_nnf,[status(thm)],[358]) ).
fof(1859,plain,
! [X3,X4] :
( ~ epred1_2(X4,X3)
| ( ( ~ reflexive(X3)
| reflexive(X4) )
& ( ~ transitive(X3)
| transitive(X4) )
& ( ~ connected(X3)
| connected(X4) )
& ( ~ antisymmetric(X3)
| antisymmetric(X4) )
& ( ~ well_founded_relation(X3)
| well_founded_relation(X4) ) ) ),
inference(variable_rename,[status(thm)],[1858]) ).
fof(1860,plain,
! [X3,X4] :
( ( ~ reflexive(X3)
| reflexive(X4)
| ~ epred1_2(X4,X3) )
& ( ~ transitive(X3)
| transitive(X4)
| ~ epred1_2(X4,X3) )
& ( ~ connected(X3)
| connected(X4)
| ~ epred1_2(X4,X3) )
& ( ~ antisymmetric(X3)
| antisymmetric(X4)
| ~ epred1_2(X4,X3) )
& ( ~ well_founded_relation(X3)
| well_founded_relation(X4)
| ~ epred1_2(X4,X3) ) ),
inference(distribute,[status(thm)],[1859]) ).
cnf(1861,plain,
( well_founded_relation(X1)
| ~ epred1_2(X1,X2)
| ~ well_founded_relation(X2) ),
inference(split_conjunct,[status(thm)],[1860]) ).
cnf(1862,plain,
( antisymmetric(X1)
| ~ epred1_2(X1,X2)
| ~ antisymmetric(X2) ),
inference(split_conjunct,[status(thm)],[1860]) ).
cnf(1863,plain,
( connected(X1)
| ~ epred1_2(X1,X2)
| ~ connected(X2) ),
inference(split_conjunct,[status(thm)],[1860]) ).
cnf(1864,plain,
( transitive(X1)
| ~ epred1_2(X1,X2)
| ~ transitive(X2) ),
inference(split_conjunct,[status(thm)],[1860]) ).
cnf(1865,plain,
( reflexive(X1)
| ~ epred1_2(X1,X2)
| ~ reflexive(X2) ),
inference(split_conjunct,[status(thm)],[1860]) ).
cnf(2084,negated_conjecture,
( connected(esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1439,391,theory(equality)]) ).
cnf(2085,negated_conjecture,
( connected(esk5_0)
| $false ),
inference(rw,[status(thm)],[2084,395,theory(equality)]) ).
cnf(2086,negated_conjecture,
connected(esk5_0),
inference(cn,[status(thm)],[2085,theory(equality)]) ).
cnf(2481,plain,
( reflexive(X1)
| ~ relation(X1)
| ~ well_orders(X1,relation_field(X1)) ),
inference(spm,[status(thm)],[1252,1591,theory(equality)]) ).
cnf(2656,negated_conjecture,
( epred1_2(esk6_0,esk5_0)
| ~ function(esk7_0)
| ~ relation(esk7_0)
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[617,390,theory(equality)]) ).
cnf(2657,negated_conjecture,
( epred1_2(esk6_0,esk5_0)
| $false
| ~ relation(esk7_0)
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[2656,392,theory(equality)]) ).
cnf(2658,negated_conjecture,
( epred1_2(esk6_0,esk5_0)
| $false
| $false
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[2657,393,theory(equality)]) ).
cnf(2659,negated_conjecture,
( epred1_2(esk6_0,esk5_0)
| $false
| $false
| $false
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[2658,394,theory(equality)]) ).
cnf(2660,negated_conjecture,
( epred1_2(esk6_0,esk5_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2659,395,theory(equality)]) ).
cnf(2661,negated_conjecture,
epred1_2(esk6_0,esk5_0),
inference(cn,[status(thm)],[2660,theory(equality)]) ).
cnf(3338,negated_conjecture,
( relation_field(esk5_0) = relation_dom(esk7_0)
| ~ function(esk7_0)
| ~ relation(esk7_0)
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1454,390,theory(equality)]) ).
cnf(3340,negated_conjecture,
( relation_field(esk5_0) = relation_dom(esk7_0)
| $false
| ~ relation(esk7_0)
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[3338,392,theory(equality)]) ).
cnf(3341,negated_conjecture,
( relation_field(esk5_0) = relation_dom(esk7_0)
| $false
| $false
| ~ relation(esk6_0)
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[3340,393,theory(equality)]) ).
cnf(3342,negated_conjecture,
( relation_field(esk5_0) = relation_dom(esk7_0)
| $false
| $false
| $false
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[3341,394,theory(equality)]) ).
cnf(3343,negated_conjecture,
( relation_field(esk5_0) = relation_dom(esk7_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3342,395,theory(equality)]) ).
cnf(3344,negated_conjecture,
relation_field(esk5_0) = relation_dom(esk7_0),
inference(cn,[status(thm)],[3343,theory(equality)]) ).
cnf(11481,negated_conjecture,
( well_founded_relation(esk6_0)
| ~ well_founded_relation(esk5_0) ),
inference(spm,[status(thm)],[1861,2661,theory(equality)]) ).
cnf(11482,negated_conjecture,
( reflexive(esk6_0)
| ~ reflexive(esk5_0) ),
inference(spm,[status(thm)],[1865,2661,theory(equality)]) ).
cnf(11483,negated_conjecture,
( transitive(esk6_0)
| ~ transitive(esk5_0) ),
inference(spm,[status(thm)],[1864,2661,theory(equality)]) ).
cnf(11484,negated_conjecture,
( connected(esk6_0)
| ~ connected(esk5_0) ),
inference(spm,[status(thm)],[1863,2661,theory(equality)]) ).
cnf(11485,negated_conjecture,
( antisymmetric(esk6_0)
| ~ antisymmetric(esk5_0) ),
inference(spm,[status(thm)],[1862,2661,theory(equality)]) ).
cnf(11486,negated_conjecture,
( connected(esk6_0)
| $false ),
inference(rw,[status(thm)],[11484,2086,theory(equality)]) ).
cnf(11487,negated_conjecture,
connected(esk6_0),
inference(cn,[status(thm)],[11486,theory(equality)]) ).
cnf(11623,negated_conjecture,
( well_orders(esk5_0,relation_dom(esk7_0))
| ~ well_ordering(esk5_0)
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1760,3344,theory(equality)]) ).
cnf(11630,negated_conjecture,
( well_founded_relation(esk5_0)
| ~ is_well_founded_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[509,3344,theory(equality)]) ).
cnf(11632,negated_conjecture,
( transitive(esk5_0)
| ~ is_transitive_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[868,3344,theory(equality)]) ).
cnf(11634,negated_conjecture,
( antisymmetric(esk5_0)
| ~ is_antisymmetric_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1400,3344,theory(equality)]) ).
cnf(11642,negated_conjecture,
( well_orders(esk5_0,relation_dom(esk7_0))
| $false
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[11623,391,theory(equality)]) ).
cnf(11643,negated_conjecture,
( well_orders(esk5_0,relation_dom(esk7_0))
| $false
| $false ),
inference(rw,[status(thm)],[11642,395,theory(equality)]) ).
cnf(11644,negated_conjecture,
well_orders(esk5_0,relation_dom(esk7_0)),
inference(cn,[status(thm)],[11643,theory(equality)]) ).
cnf(11659,negated_conjecture,
( well_founded_relation(esk5_0)
| ~ is_well_founded_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[11630,395,theory(equality)]) ).
cnf(11660,negated_conjecture,
( well_founded_relation(esk5_0)
| ~ is_well_founded_in(esk5_0,relation_dom(esk7_0)) ),
inference(cn,[status(thm)],[11659,theory(equality)]) ).
cnf(11663,negated_conjecture,
( transitive(esk5_0)
| ~ is_transitive_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[11632,395,theory(equality)]) ).
cnf(11664,negated_conjecture,
( transitive(esk5_0)
| ~ is_transitive_in(esk5_0,relation_dom(esk7_0)) ),
inference(cn,[status(thm)],[11663,theory(equality)]) ).
cnf(11668,negated_conjecture,
( antisymmetric(esk5_0)
| ~ is_antisymmetric_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[11634,395,theory(equality)]) ).
cnf(11669,negated_conjecture,
( antisymmetric(esk5_0)
| ~ is_antisymmetric_in(esk5_0,relation_dom(esk7_0)) ),
inference(cn,[status(thm)],[11668,theory(equality)]) ).
cnf(12467,negated_conjecture,
( is_well_founded_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1587,11644,theory(equality)]) ).
cnf(12468,negated_conjecture,
( is_transitive_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1590,11644,theory(equality)]) ).
cnf(12469,negated_conjecture,
( is_antisymmetric_in(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[1589,11644,theory(equality)]) ).
cnf(12472,negated_conjecture,
( is_well_founded_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[12467,395,theory(equality)]) ).
cnf(12473,negated_conjecture,
is_well_founded_in(esk5_0,relation_dom(esk7_0)),
inference(cn,[status(thm)],[12472,theory(equality)]) ).
cnf(12474,negated_conjecture,
( is_transitive_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[12468,395,theory(equality)]) ).
cnf(12475,negated_conjecture,
is_transitive_in(esk5_0,relation_dom(esk7_0)),
inference(cn,[status(thm)],[12474,theory(equality)]) ).
cnf(12476,negated_conjecture,
( is_antisymmetric_in(esk5_0,relation_dom(esk7_0))
| $false ),
inference(rw,[status(thm)],[12469,395,theory(equality)]) ).
cnf(12477,negated_conjecture,
is_antisymmetric_in(esk5_0,relation_dom(esk7_0)),
inference(cn,[status(thm)],[12476,theory(equality)]) ).
cnf(19132,negated_conjecture,
( reflexive(esk5_0)
| ~ well_orders(esk5_0,relation_dom(esk7_0))
| ~ relation(esk5_0) ),
inference(spm,[status(thm)],[2481,3344,theory(equality)]) ).
cnf(19142,negated_conjecture,
( reflexive(esk5_0)
| $false
| ~ relation(esk5_0) ),
inference(rw,[status(thm)],[19132,11644,theory(equality)]) ).
cnf(19143,negated_conjecture,
( reflexive(esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[19142,395,theory(equality)]) ).
cnf(19144,negated_conjecture,
reflexive(esk5_0),
inference(cn,[status(thm)],[19143,theory(equality)]) ).
cnf(19231,negated_conjecture,
( reflexive(esk6_0)
| $false ),
inference(rw,[status(thm)],[11482,19144,theory(equality)]) ).
cnf(19232,negated_conjecture,
reflexive(esk6_0),
inference(cn,[status(thm)],[19231,theory(equality)]) ).
cnf(19237,negated_conjecture,
( well_ordering(esk6_0)
| ~ antisymmetric(esk6_0)
| ~ connected(esk6_0)
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0)
| ~ relation(esk6_0) ),
inference(spm,[status(thm)],[1437,19232,theory(equality)]) ).
cnf(19243,negated_conjecture,
( well_ordering(esk6_0)
| ~ antisymmetric(esk6_0)
| $false
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0)
| ~ relation(esk6_0) ),
inference(rw,[status(thm)],[19237,11487,theory(equality)]) ).
cnf(19244,negated_conjecture,
( well_ordering(esk6_0)
| ~ antisymmetric(esk6_0)
| $false
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0)
| $false ),
inference(rw,[status(thm)],[19243,394,theory(equality)]) ).
cnf(19245,negated_conjecture,
( well_ordering(esk6_0)
| ~ antisymmetric(esk6_0)
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0) ),
inference(cn,[status(thm)],[19244,theory(equality)]) ).
cnf(19246,negated_conjecture,
( ~ antisymmetric(esk6_0)
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0) ),
inference(sr,[status(thm)],[19245,389,theory(equality)]) ).
cnf(19452,negated_conjecture,
( well_founded_relation(esk5_0)
| $false ),
inference(rw,[status(thm)],[11660,12473,theory(equality)]) ).
cnf(19453,negated_conjecture,
well_founded_relation(esk5_0),
inference(cn,[status(thm)],[19452,theory(equality)]) ).
cnf(19454,negated_conjecture,
( well_founded_relation(esk6_0)
| $false ),
inference(rw,[status(thm)],[11481,19453,theory(equality)]) ).
cnf(19455,negated_conjecture,
well_founded_relation(esk6_0),
inference(cn,[status(thm)],[19454,theory(equality)]) ).
cnf(19637,negated_conjecture,
( transitive(esk5_0)
| $false ),
inference(rw,[status(thm)],[11664,12475,theory(equality)]) ).
cnf(19638,negated_conjecture,
transitive(esk5_0),
inference(cn,[status(thm)],[19637,theory(equality)]) ).
cnf(19640,negated_conjecture,
( transitive(esk6_0)
| $false ),
inference(rw,[status(thm)],[11483,19638,theory(equality)]) ).
cnf(19641,negated_conjecture,
transitive(esk6_0),
inference(cn,[status(thm)],[19640,theory(equality)]) ).
cnf(19696,negated_conjecture,
( antisymmetric(esk5_0)
| $false ),
inference(rw,[status(thm)],[11669,12477,theory(equality)]) ).
cnf(19697,negated_conjecture,
antisymmetric(esk5_0),
inference(cn,[status(thm)],[19696,theory(equality)]) ).
cnf(19699,negated_conjecture,
( antisymmetric(esk6_0)
| $false ),
inference(rw,[status(thm)],[11485,19697,theory(equality)]) ).
cnf(19700,negated_conjecture,
antisymmetric(esk6_0),
inference(cn,[status(thm)],[19699,theory(equality)]) ).
cnf(25638,negated_conjecture,
( $false
| ~ transitive(esk6_0)
| ~ well_founded_relation(esk6_0) ),
inference(rw,[status(thm)],[19246,19700,theory(equality)]) ).
cnf(25639,negated_conjecture,
( $false
| $false
| ~ well_founded_relation(esk6_0) ),
inference(rw,[status(thm)],[25638,19641,theory(equality)]) ).
cnf(25640,negated_conjecture,
( $false
| $false
| $false ),
inference(rw,[status(thm)],[25639,19455,theory(equality)]) ).
cnf(25641,negated_conjecture,
$false,
inference(cn,[status(thm)],[25640,theory(equality)]) ).
cnf(25642,negated_conjecture,
$false,
25641,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU261+2.p
% --creating new selector for []
% -running prover on /tmp/tmpjPjOGu/sel_SEU261+2.p_1 with time limit 29
% -prover status Theorem
% Problem SEU261+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU261+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU261+2.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------