TSTP Solution File: SEU340+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU340+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sun Dec 26 07:34:42 EST 2010
% Result : Theorem 85.42s
% Output : CNFRefutation 85.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 17
% Syntax : Number of formulae : 166 ( 23 unt; 0 def)
% Number of atoms : 660 ( 15 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 838 ( 344 ~; 389 |; 79 &)
% ( 4 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-2 aty)
% Number of variables : 307 ( 22 sgn 143 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,conjecture,
! [X1] :
( ( transitive_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X4) )
=> related(X1,X2,X4) ) ) ) ) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t26_orders_2) ).
fof(3,axiom,
! [X1,X2,X3] :
( element(X3,powerset(cartesian_product2(X1,X2)))
=> relation(X3) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',cc1_relset_1) ).
fof(4,axiom,
! [X1] :
( rel_str(X1)
=> relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',dt_u1_orders_2) ).
fof(5,axiom,
! [X1,X2] :
( in(X1,X2)
=> element(X1,X2) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t1_subset) ).
fof(9,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/tmphglSzN/sel_SEU340+1.p_2',d9_orders_2) ).
fof(13,axiom,
! [X1,X2,X3] :
( ( in(X1,X2)
& element(X2,powerset(X3)) )
=> element(X1,X3) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t4_subset) ).
fof(14,axiom,
! [X1,X2] :
~ ( in(X1,X2)
& empty(X2) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t7_boole) ).
fof(20,axiom,
empty(empty_set),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',fc1_xboole_0) ).
fof(22,axiom,
! [X1,X2,X3] :
~ ( in(X1,X2)
& element(X2,powerset(X3))
& empty(X3) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t5_subset) ).
fof(23,axiom,
! [X1] :
( relation(X1)
=> ! [X2] :
( is_transitive_in(X1,X2)
<=> ! [X3,X4,X5] :
( ( in(X3,X2)
& in(X4,X2)
& in(X5,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X5),X1) )
=> in(ordered_pair(X3,X5),X1) ) ) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',d8_relat_2) ).
fof(29,axiom,
! [X1,X2,X3] :
( relation_of2_as_subset(X3,X1,X2)
=> element(X3,powerset(cartesian_product2(X1,X2))) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',dt_m2_relset_1) ).
fof(30,axiom,
! [X1,X2] :
( element(X1,X2)
=> ( empty(X2)
| in(X1,X2) ) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t2_subset) ).
fof(34,axiom,
! [X1,X2,X3,X4] :
( in(ordered_pair(X1,X2),cartesian_product2(X3,X4))
<=> ( in(X1,X3)
& in(X2,X4) ) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t106_zfmisc_1) ).
fof(39,axiom,
! [X1,X2] : ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',d5_tarski) ).
fof(41,axiom,
! [X1] :
? [X2] : element(X2,X1),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',existence_m1_subset_1) ).
fof(44,axiom,
! [X1,X2] :
~ ( empty(X1)
& X1 != X2
& empty(X2) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',t8_boole) ).
fof(45,axiom,
! [X1] :
( rel_str(X1)
=> ( transitive_relstr(X1)
<=> is_transitive_in(the_InternalRel(X1),the_carrier(X1)) ) ),
file('/tmp/tmphglSzN/sel_SEU340+1.p_2',d5_orders_2) ).
fof(47,negated_conjecture,
~ ! [X1] :
( ( transitive_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ! [X4] :
( element(X4,the_carrier(X1))
=> ( ( related(X1,X2,X3)
& related(X1,X3,X4) )
=> related(X1,X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[2]) ).
fof(56,negated_conjecture,
? [X1] :
( transitive_relstr(X1)
& rel_str(X1)
& ? [X2] :
( element(X2,the_carrier(X1))
& ? [X3] :
( element(X3,the_carrier(X1))
& ? [X4] :
( element(X4,the_carrier(X1))
& related(X1,X2,X3)
& related(X1,X3,X4)
& ~ related(X1,X2,X4) ) ) ) ),
inference(fof_nnf,[status(thm)],[47]) ).
fof(57,negated_conjecture,
? [X5] :
( transitive_relstr(X5)
& rel_str(X5)
& ? [X6] :
( element(X6,the_carrier(X5))
& ? [X7] :
( element(X7,the_carrier(X5))
& ? [X8] :
( element(X8,the_carrier(X5))
& related(X5,X6,X7)
& related(X5,X7,X8)
& ~ related(X5,X6,X8) ) ) ) ),
inference(variable_rename,[status(thm)],[56]) ).
fof(58,negated_conjecture,
( transitive_relstr(esk1_0)
& rel_str(esk1_0)
& element(esk2_0,the_carrier(esk1_0))
& element(esk3_0,the_carrier(esk1_0))
& element(esk4_0,the_carrier(esk1_0))
& related(esk1_0,esk2_0,esk3_0)
& related(esk1_0,esk3_0,esk4_0)
& ~ related(esk1_0,esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[57]) ).
cnf(59,negated_conjecture,
~ related(esk1_0,esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(60,negated_conjecture,
related(esk1_0,esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(61,negated_conjecture,
related(esk1_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(62,negated_conjecture,
element(esk4_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(63,negated_conjecture,
element(esk3_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(64,negated_conjecture,
element(esk2_0,the_carrier(esk1_0)),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(65,negated_conjecture,
rel_str(esk1_0),
inference(split_conjunct,[status(thm)],[58]) ).
cnf(66,negated_conjecture,
transitive_relstr(esk1_0),
inference(split_conjunct,[status(thm)],[58]) ).
fof(67,plain,
! [X1,X2,X3] :
( ~ element(X3,powerset(cartesian_product2(X1,X2)))
| relation(X3) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(68,plain,
! [X4,X5,X6] :
( ~ element(X6,powerset(cartesian_product2(X4,X5)))
| relation(X6) ),
inference(variable_rename,[status(thm)],[67]) ).
cnf(69,plain,
( relation(X1)
| ~ element(X1,powerset(cartesian_product2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[68]) ).
fof(70,plain,
! [X1] :
( ~ rel_str(X1)
| relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(71,plain,
! [X2] :
( ~ rel_str(X2)
| relation_of2_as_subset(the_InternalRel(X2),the_carrier(X2),the_carrier(X2)) ),
inference(variable_rename,[status(thm)],[70]) ).
cnf(72,plain,
( relation_of2_as_subset(the_InternalRel(X1),the_carrier(X1),the_carrier(X1))
| ~ rel_str(X1) ),
inference(split_conjunct,[status(thm)],[71]) ).
fof(73,plain,
! [X1,X2] :
( ~ in(X1,X2)
| element(X1,X2) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(74,plain,
! [X3,X4] :
( ~ in(X3,X4)
| element(X3,X4) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( element(X1,X2)
| ~ in(X1,X2) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(84,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)],[9]) ).
fof(85,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)],[84]) ).
fof(86,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)],[85]) ).
fof(87,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)],[86]) ).
cnf(88,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| ~ in(ordered_pair(X2,X3),the_InternalRel(X1)) ),
inference(split_conjunct,[status(thm)],[87]) ).
cnf(89,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)],[87]) ).
fof(100,plain,
! [X1,X2,X3] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| element(X1,X3) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(101,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| element(X4,X6) ),
inference(variable_rename,[status(thm)],[100]) ).
cnf(102,plain,
( element(X1,X2)
| ~ element(X3,powerset(X2))
| ~ in(X1,X3) ),
inference(split_conjunct,[status(thm)],[101]) ).
fof(103,plain,
! [X1,X2] :
( ~ in(X1,X2)
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[14]) ).
fof(104,plain,
! [X3,X4] :
( ~ in(X3,X4)
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[103]) ).
cnf(105,plain,
( ~ empty(X1)
| ~ in(X2,X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(117,plain,
empty(empty_set),
inference(split_conjunct,[status(thm)],[20]) ).
fof(121,plain,
! [X1,X2,X3] :
( ~ in(X1,X2)
| ~ element(X2,powerset(X3))
| ~ empty(X3) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(122,plain,
! [X4,X5,X6] :
( ~ in(X4,X5)
| ~ element(X5,powerset(X6))
| ~ empty(X6) ),
inference(variable_rename,[status(thm)],[121]) ).
cnf(123,plain,
( ~ empty(X1)
| ~ element(X2,powerset(X1))
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[122]) ).
fof(124,plain,
! [X1] :
( ~ relation(X1)
| ! [X2] :
( ( ~ is_transitive_in(X1,X2)
| ! [X3,X4,X5] :
( ~ in(X3,X2)
| ~ in(X4,X2)
| ~ in(X5,X2)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X4,X5),X1)
| in(ordered_pair(X3,X5),X1) ) )
& ( ? [X3,X4,X5] :
( in(X3,X2)
& in(X4,X2)
& in(X5,X2)
& in(ordered_pair(X3,X4),X1)
& in(ordered_pair(X4,X5),X1)
& ~ in(ordered_pair(X3,X5),X1) )
| is_transitive_in(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(125,plain,
! [X6] :
( ~ relation(X6)
| ! [X7] :
( ( ~ is_transitive_in(X6,X7)
| ! [X8,X9,X10] :
( ~ in(X8,X7)
| ~ in(X9,X7)
| ~ in(X10,X7)
| ~ in(ordered_pair(X8,X9),X6)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X8,X10),X6) ) )
& ( ? [X11,X12,X13] :
( in(X11,X7)
& in(X12,X7)
& in(X13,X7)
& in(ordered_pair(X11,X12),X6)
& in(ordered_pair(X12,X13),X6)
& ~ in(ordered_pair(X11,X13),X6) )
| is_transitive_in(X6,X7) ) ) ),
inference(variable_rename,[status(thm)],[124]) ).
fof(126,plain,
! [X6] :
( ~ relation(X6)
| ! [X7] :
( ( ~ is_transitive_in(X6,X7)
| ! [X8,X9,X10] :
( ~ in(X8,X7)
| ~ in(X9,X7)
| ~ in(X10,X7)
| ~ in(ordered_pair(X8,X9),X6)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X8,X10),X6) ) )
& ( ( in(esk9_2(X6,X7),X7)
& in(esk10_2(X6,X7),X7)
& in(esk11_2(X6,X7),X7)
& in(ordered_pair(esk9_2(X6,X7),esk10_2(X6,X7)),X6)
& in(ordered_pair(esk10_2(X6,X7),esk11_2(X6,X7)),X6)
& ~ in(ordered_pair(esk9_2(X6,X7),esk11_2(X6,X7)),X6) )
| is_transitive_in(X6,X7) ) ) ),
inference(skolemize,[status(esa)],[125]) ).
fof(127,plain,
! [X6,X7,X8,X9,X10] :
( ( ( ~ in(X8,X7)
| ~ in(X9,X7)
| ~ in(X10,X7)
| ~ in(ordered_pair(X8,X9),X6)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X8,X10),X6)
| ~ is_transitive_in(X6,X7) )
& ( ( in(esk9_2(X6,X7),X7)
& in(esk10_2(X6,X7),X7)
& in(esk11_2(X6,X7),X7)
& in(ordered_pair(esk9_2(X6,X7),esk10_2(X6,X7)),X6)
& in(ordered_pair(esk10_2(X6,X7),esk11_2(X6,X7)),X6)
& ~ in(ordered_pair(esk9_2(X6,X7),esk11_2(X6,X7)),X6) )
| is_transitive_in(X6,X7) ) )
| ~ relation(X6) ),
inference(shift_quantors,[status(thm)],[126]) ).
fof(128,plain,
! [X6,X7,X8,X9,X10] :
( ( ~ in(X8,X7)
| ~ in(X9,X7)
| ~ in(X10,X7)
| ~ in(ordered_pair(X8,X9),X6)
| ~ in(ordered_pair(X9,X10),X6)
| in(ordered_pair(X8,X10),X6)
| ~ is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( in(esk9_2(X6,X7),X7)
| is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( in(esk10_2(X6,X7),X7)
| is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( in(esk11_2(X6,X7),X7)
| is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk9_2(X6,X7),esk10_2(X6,X7)),X6)
| is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( in(ordered_pair(esk10_2(X6,X7),esk11_2(X6,X7)),X6)
| is_transitive_in(X6,X7)
| ~ relation(X6) )
& ( ~ in(ordered_pair(esk9_2(X6,X7),esk11_2(X6,X7)),X6)
| is_transitive_in(X6,X7)
| ~ relation(X6) ) ),
inference(distribute,[status(thm)],[127]) ).
cnf(135,plain,
( in(ordered_pair(X3,X4),X1)
| ~ relation(X1)
| ~ is_transitive_in(X1,X2)
| ~ in(ordered_pair(X5,X4),X1)
| ~ in(ordered_pair(X3,X5),X1)
| ~ in(X4,X2)
| ~ in(X5,X2)
| ~ in(X3,X2) ),
inference(split_conjunct,[status(thm)],[128]) ).
fof(146,plain,
! [X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X1,X2)
| element(X3,powerset(cartesian_product2(X1,X2))) ),
inference(fof_nnf,[status(thm)],[29]) ).
fof(147,plain,
! [X4,X5,X6] :
( ~ relation_of2_as_subset(X6,X4,X5)
| element(X6,powerset(cartesian_product2(X4,X5))) ),
inference(variable_rename,[status(thm)],[146]) ).
cnf(148,plain,
( element(X1,powerset(cartesian_product2(X2,X3)))
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[147]) ).
fof(149,plain,
! [X1,X2] :
( ~ element(X1,X2)
| empty(X2)
| in(X1,X2) ),
inference(fof_nnf,[status(thm)],[30]) ).
fof(150,plain,
! [X3,X4] :
( ~ element(X3,X4)
| empty(X4)
| in(X3,X4) ),
inference(variable_rename,[status(thm)],[149]) ).
cnf(151,plain,
( in(X1,X2)
| empty(X2)
| ~ element(X1,X2) ),
inference(split_conjunct,[status(thm)],[150]) ).
fof(157,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)],[34]) ).
fof(158,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)],[157]) ).
fof(159,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)],[158]) ).
cnf(161,plain,
( in(X2,X4)
| ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) ),
inference(split_conjunct,[status(thm)],[159]) ).
fof(172,plain,
! [X3,X4] : ordered_pair(X3,X4) = unordered_pair(unordered_pair(X3,X4),singleton(X3)),
inference(variable_rename,[status(thm)],[39]) ).
cnf(173,plain,
ordered_pair(X1,X2) = unordered_pair(unordered_pair(X1,X2),singleton(X1)),
inference(split_conjunct,[status(thm)],[172]) ).
fof(177,plain,
! [X3] :
? [X4] : element(X4,X3),
inference(variable_rename,[status(thm)],[41]) ).
fof(178,plain,
! [X3] : element(esk14_1(X3),X3),
inference(skolemize,[status(esa)],[177]) ).
cnf(179,plain,
element(esk14_1(X1),X1),
inference(split_conjunct,[status(thm)],[178]) ).
fof(185,plain,
! [X1,X2] :
( ~ empty(X1)
| X1 = X2
| ~ empty(X2) ),
inference(fof_nnf,[status(thm)],[44]) ).
fof(186,plain,
! [X3,X4] :
( ~ empty(X3)
| X3 = X4
| ~ empty(X4) ),
inference(variable_rename,[status(thm)],[185]) ).
cnf(187,plain,
( X2 = X1
| ~ empty(X1)
| ~ empty(X2) ),
inference(split_conjunct,[status(thm)],[186]) ).
fof(188,plain,
! [X1] :
( ~ rel_str(X1)
| ( ( ~ transitive_relstr(X1)
| is_transitive_in(the_InternalRel(X1),the_carrier(X1)) )
& ( ~ is_transitive_in(the_InternalRel(X1),the_carrier(X1))
| transitive_relstr(X1) ) ) ),
inference(fof_nnf,[status(thm)],[45]) ).
fof(189,plain,
! [X2] :
( ~ rel_str(X2)
| ( ( ~ transitive_relstr(X2)
| is_transitive_in(the_InternalRel(X2),the_carrier(X2)) )
& ( ~ is_transitive_in(the_InternalRel(X2),the_carrier(X2))
| transitive_relstr(X2) ) ) ),
inference(variable_rename,[status(thm)],[188]) ).
fof(190,plain,
! [X2] :
( ( ~ transitive_relstr(X2)
| is_transitive_in(the_InternalRel(X2),the_carrier(X2))
| ~ rel_str(X2) )
& ( ~ is_transitive_in(the_InternalRel(X2),the_carrier(X2))
| transitive_relstr(X2)
| ~ rel_str(X2) ) ),
inference(distribute,[status(thm)],[189]) ).
cnf(192,plain,
( is_transitive_in(the_InternalRel(X1),the_carrier(X1))
| ~ rel_str(X1)
| ~ transitive_relstr(X1) ),
inference(split_conjunct,[status(thm)],[190]) ).
cnf(196,plain,
( in(X2,X4)
| ~ in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4)) ),
inference(rw,[status(thm)],[161,173,theory(equality)]),
[unfolding] ).
cnf(202,plain,
( related(X1,X2,X3)
| ~ rel_str(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),the_InternalRel(X1)) ),
inference(rw,[status(thm)],[88,173,theory(equality)]),
[unfolding] ).
cnf(203,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)],[89,173,theory(equality)]),
[unfolding] ).
cnf(204,plain,
( in(unordered_pair(unordered_pair(X3,X4),singleton(X3)),X1)
| ~ relation(X1)
| ~ in(X5,X2)
| ~ in(X4,X2)
| ~ in(X3,X2)
| ~ is_transitive_in(X1,X2)
| ~ in(unordered_pair(unordered_pair(X5,X4),singleton(X5)),X1)
| ~ in(unordered_pair(unordered_pair(X3,X5),singleton(X3)),X1) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[135,173,theory(equality)]),173,theory(equality)]),173,theory(equality)]),
[unfolding] ).
cnf(215,negated_conjecture,
( empty(the_carrier(esk1_0))
| in(esk2_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[151,64,theory(equality)]) ).
cnf(216,negated_conjecture,
( empty(the_carrier(esk1_0))
| in(esk3_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[151,63,theory(equality)]) ).
cnf(217,negated_conjecture,
( empty(the_carrier(esk1_0))
| in(esk4_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[151,62,theory(equality)]) ).
cnf(218,plain,
( empty(X1)
| in(esk14_1(X1),X1) ),
inference(spm,[status(thm)],[151,179,theory(equality)]) ).
cnf(230,plain,
( element(X1,X2)
| ~ in(X1,esk14_1(powerset(X2))) ),
inference(spm,[status(thm)],[102,179,theory(equality)]) ).
cnf(235,plain,
( relation(X1)
| ~ relation_of2_as_subset(X1,X2,X3) ),
inference(spm,[status(thm)],[69,148,theory(equality)]) ).
cnf(236,plain,
( element(X1,cartesian_product2(X2,X3))
| ~ in(X1,X4)
| ~ relation_of2_as_subset(X4,X2,X3) ),
inference(spm,[status(thm)],[102,148,theory(equality)]) ).
cnf(238,plain,
( ~ empty(X1)
| ~ in(X2,esk14_1(powerset(X1))) ),
inference(spm,[status(thm)],[123,179,theory(equality)]) ).
cnf(288,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ is_transitive_in(the_InternalRel(X3),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),the_InternalRel(X3))
| ~ in(X5,X4)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ relation(the_InternalRel(X3))
| ~ related(X3,X5,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X5,the_carrier(X3))
| ~ rel_str(X3) ),
inference(spm,[status(thm)],[204,203,theory(equality)]) ).
cnf(313,negated_conjecture,
( X1 = the_carrier(esk1_0)
| in(esk2_0,the_carrier(esk1_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[187,215,theory(equality)]) ).
cnf(319,negated_conjecture,
( X1 = the_carrier(esk1_0)
| in(esk3_0,the_carrier(esk1_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[187,216,theory(equality)]) ).
cnf(359,plain,
( relation(the_InternalRel(X1))
| ~ rel_str(X1) ),
inference(spm,[status(thm)],[235,72,theory(equality)]) ).
cnf(392,plain,
( empty(esk14_1(powerset(X1)))
| ~ empty(X1) ),
inference(spm,[status(thm)],[238,218,theory(equality)]) ).
cnf(398,plain,
( element(esk14_1(esk14_1(powerset(X1))),X1)
| empty(esk14_1(powerset(X1))) ),
inference(spm,[status(thm)],[230,218,theory(equality)]) ).
cnf(401,negated_conjecture,
( esk14_1(powerset(X1)) = the_carrier(esk1_0)
| in(esk2_0,the_carrier(esk1_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[313,392,theory(equality)]) ).
cnf(402,negated_conjecture,
( esk14_1(powerset(X1)) = the_carrier(esk1_0)
| in(esk3_0,the_carrier(esk1_0))
| ~ empty(X1) ),
inference(spm,[status(thm)],[319,392,theory(equality)]) ).
cnf(481,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ empty(X1)
| ~ in(X2,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[238,401,theory(equality)]) ).
cnf(490,plain,
( element(X1,cartesian_product2(the_carrier(X2),the_carrier(X2)))
| ~ in(X1,the_InternalRel(X2))
| ~ rel_str(X2) ),
inference(spm,[status(thm)],[236,72,theory(equality)]) ).
cnf(507,negated_conjecture,
( in(esk3_0,the_carrier(esk1_0))
| ~ empty(X1)
| ~ in(X2,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[238,402,theory(equality)]) ).
cnf(589,plain,
( empty(X1)
| in(esk14_1(esk14_1(powerset(X1))),X1)
| empty(esk14_1(powerset(X1))) ),
inference(spm,[status(thm)],[151,398,theory(equality)]) ).
cnf(794,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)],[151,490,theory(equality)]) ).
cnf(1320,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ is_transitive_in(the_InternalRel(X3),X4)
| ~ in(unordered_pair(unordered_pair(X1,X5),singleton(X1)),the_InternalRel(X3))
| ~ in(X5,X4)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ related(X3,X5,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X5,the_carrier(X3))
| ~ rel_str(X3) ),
inference(csr,[status(thm)],[288,359]) ).
cnf(1325,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ is_transitive_in(the_InternalRel(X3),X4)
| ~ in(X5,X4)
| ~ in(X2,X4)
| ~ in(X1,X4)
| ~ related(X3,X5,X2)
| ~ element(X2,the_carrier(X3))
| ~ element(X5,the_carrier(X3))
| ~ rel_str(X3)
| ~ related(X3,X1,X5)
| ~ element(X1,the_carrier(X3)) ),
inference(spm,[status(thm)],[1320,203,theory(equality)]) ).
cnf(1535,plain,
( empty(esk14_1(powerset(X1)))
| in(esk14_1(esk14_1(powerset(X1))),X1) ),
inference(csr,[status(thm)],[589,392]) ).
cnf(1553,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| empty(esk14_1(powerset(the_carrier(esk1_0))))
| ~ empty(X1) ),
inference(spm,[status(thm)],[481,1535,theory(equality)]) ).
cnf(1554,negated_conjecture,
( in(esk3_0,the_carrier(esk1_0))
| empty(esk14_1(powerset(the_carrier(esk1_0))))
| ~ empty(X1) ),
inference(spm,[status(thm)],[507,1535,theory(equality)]) ).
cnf(1694,negated_conjecture,
( empty(esk14_1(powerset(the_carrier(esk1_0))))
| in(esk2_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[1553,117,theory(equality)]) ).
cnf(1704,negated_conjecture,
( esk14_1(powerset(the_carrier(esk1_0))) = the_carrier(esk1_0)
| in(esk2_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[313,1694,theory(equality)]) ).
cnf(1811,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ empty(the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[238,1704,theory(equality)]) ).
cnf(1966,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[1811,215]) ).
cnf(2362,negated_conjecture,
( empty(esk14_1(powerset(the_carrier(esk1_0))))
| in(esk3_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[1554,117,theory(equality)]) ).
cnf(2377,negated_conjecture,
( esk14_1(powerset(the_carrier(esk1_0))) = the_carrier(esk1_0)
| in(esk3_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[319,2362,theory(equality)]) ).
cnf(2399,negated_conjecture,
( in(esk3_0,the_carrier(esk1_0))
| ~ empty(the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[238,2377,theory(equality)]) ).
cnf(2454,negated_conjecture,
( in(esk3_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[2399,216]) ).
cnf(4866,plain,
( empty(cartesian_product2(the_carrier(X1),the_carrier(X1)))
| in(unordered_pair(unordered_pair(X2,X3),singleton(X2)),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)],[794,203,theory(equality)]) ).
cnf(9212,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ in(X4,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X3,X4,X2)
| ~ related(X3,X1,X4)
| ~ element(X2,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ element(X1,the_carrier(X3))
| ~ rel_str(X3)
| ~ transitive_relstr(X3) ),
inference(spm,[status(thm)],[1325,192,theory(equality)]) ).
cnf(79311,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)],[196,4866,theory(equality)]) ).
cnf(205829,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ in(X4,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X3,X4,X2)
| ~ related(X3,X1,X4)
| ~ element(X2,the_carrier(X3))
| ~ element(X4,the_carrier(X3))
| ~ rel_str(X3)
| ~ transitive_relstr(X3) ),
inference(csr,[status(thm)],[9212,75]) ).
cnf(205830,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ in(X4,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X3,X4,X2)
| ~ related(X3,X1,X4)
| ~ element(X2,the_carrier(X3))
| ~ rel_str(X3)
| ~ transitive_relstr(X3) ),
inference(csr,[status(thm)],[205829,75]) ).
cnf(205831,plain,
( in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),the_InternalRel(X3))
| ~ in(X4,the_carrier(X3))
| ~ in(X2,the_carrier(X3))
| ~ in(X1,the_carrier(X3))
| ~ related(X3,X4,X2)
| ~ related(X3,X1,X4)
| ~ rel_str(X3)
| ~ transitive_relstr(X3) ),
inference(csr,[status(thm)],[205830,75]) ).
cnf(205833,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| ~ in(esk3_0,the_carrier(esk1_0))
| ~ in(esk4_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0)
| ~ rel_str(esk1_0)
| ~ transitive_relstr(esk1_0) ),
inference(spm,[status(thm)],[205831,60,theory(equality)]) ).
cnf(205839,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| ~ in(esk3_0,the_carrier(esk1_0))
| ~ in(esk4_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0)
| $false
| ~ transitive_relstr(esk1_0) ),
inference(rw,[status(thm)],[205833,65,theory(equality)]) ).
cnf(205840,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| ~ in(esk3_0,the_carrier(esk1_0))
| ~ in(esk4_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0)
| $false
| $false ),
inference(rw,[status(thm)],[205839,66,theory(equality)]) ).
cnf(205841,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| ~ in(esk3_0,the_carrier(esk1_0))
| ~ in(esk4_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(cn,[status(thm)],[205840,theory(equality)]) ).
cnf(721483,negated_conjecture,
( empty(cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)))
| in(esk3_0,the_carrier(esk1_0))
| ~ element(esk3_0,the_carrier(esk1_0))
| ~ element(esk2_0,the_carrier(esk1_0))
| ~ rel_str(esk1_0) ),
inference(spm,[status(thm)],[79311,61,theory(equality)]) ).
cnf(721490,negated_conjecture,
( empty(cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)))
| in(esk3_0,the_carrier(esk1_0))
| $false
| ~ element(esk2_0,the_carrier(esk1_0))
| ~ rel_str(esk1_0) ),
inference(rw,[status(thm)],[721483,63,theory(equality)]) ).
cnf(721491,negated_conjecture,
( empty(cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)))
| in(esk3_0,the_carrier(esk1_0))
| $false
| $false
| ~ rel_str(esk1_0) ),
inference(rw,[status(thm)],[721490,64,theory(equality)]) ).
cnf(721492,negated_conjecture,
( empty(cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)))
| in(esk3_0,the_carrier(esk1_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[721491,65,theory(equality)]) ).
cnf(721493,negated_conjecture,
( empty(cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)))
| in(esk3_0,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[721492,theory(equality)]) ).
cnf(721501,negated_conjecture,
( cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)) = the_carrier(esk1_0)
| in(esk2_0,the_carrier(esk1_0))
| in(esk3_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[313,721493,theory(equality)]) ).
cnf(726211,negated_conjecture,
( cartesian_product2(the_carrier(esk1_0),the_carrier(esk1_0)) = the_carrier(esk1_0)
| in(esk2_0,the_carrier(esk1_0)) ),
inference(csr,[status(thm)],[721501,1966]) ).
cnf(726231,negated_conjecture,
( element(X1,powerset(the_carrier(esk1_0)))
| in(esk2_0,the_carrier(esk1_0))
| ~ relation_of2_as_subset(X1,the_carrier(esk1_0),the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[148,726211,theory(equality)]) ).
cnf(768972,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| element(the_InternalRel(esk1_0),powerset(the_carrier(esk1_0)))
| ~ rel_str(esk1_0) ),
inference(spm,[status(thm)],[726231,72,theory(equality)]) ).
cnf(768973,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| element(the_InternalRel(esk1_0),powerset(the_carrier(esk1_0)))
| $false ),
inference(rw,[status(thm)],[768972,65,theory(equality)]) ).
cnf(768974,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| element(the_InternalRel(esk1_0),powerset(the_carrier(esk1_0))) ),
inference(cn,[status(thm)],[768973,theory(equality)]) ).
cnf(768977,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ empty(the_carrier(esk1_0))
| ~ in(X1,the_InternalRel(esk1_0)) ),
inference(spm,[status(thm)],[123,768974,theory(equality)]) ).
cnf(769077,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ in(X1,the_InternalRel(esk1_0)) ),
inference(csr,[status(thm)],[768977,215]) ).
cnf(769081,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ related(esk1_0,X1,X2)
| ~ element(X2,the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0))
| ~ rel_str(esk1_0) ),
inference(spm,[status(thm)],[769077,203,theory(equality)]) ).
cnf(769205,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ related(esk1_0,X1,X2)
| ~ element(X2,the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0))
| $false ),
inference(rw,[status(thm)],[769081,65,theory(equality)]) ).
cnf(769206,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ related(esk1_0,X1,X2)
| ~ element(X2,the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0)) ),
inference(cn,[status(thm)],[769205,theory(equality)]) ).
cnf(774248,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| ~ element(esk3_0,the_carrier(esk1_0))
| ~ element(esk2_0,the_carrier(esk1_0)) ),
inference(spm,[status(thm)],[769206,61,theory(equality)]) ).
cnf(774255,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| $false
| ~ element(esk2_0,the_carrier(esk1_0)) ),
inference(rw,[status(thm)],[774248,63,theory(equality)]) ).
cnf(774256,negated_conjecture,
( in(esk2_0,the_carrier(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[774255,64,theory(equality)]) ).
cnf(774257,negated_conjecture,
in(esk2_0,the_carrier(esk1_0)),
inference(cn,[status(thm)],[774256,theory(equality)]) ).
cnf(774271,negated_conjecture,
~ empty(the_carrier(esk1_0)),
inference(spm,[status(thm)],[105,774257,theory(equality)]) ).
cnf(774273,negated_conjecture,
in(esk3_0,the_carrier(esk1_0)),
inference(spm,[status(thm)],[2454,774257,theory(equality)]) ).
cnf(775455,negated_conjecture,
in(esk4_0,the_carrier(esk1_0)),
inference(sr,[status(thm)],[217,774271,theory(equality)]) ).
cnf(839291,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| $false
| ~ in(esk4_0,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(rw,[status(thm)],[205841,774273,theory(equality)]) ).
cnf(839292,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| $false
| $false
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(rw,[status(thm)],[839291,775455,theory(equality)]) ).
cnf(839293,negated_conjecture,
( in(unordered_pair(unordered_pair(X1,esk4_0),singleton(X1)),the_InternalRel(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(cn,[status(thm)],[839292,theory(equality)]) ).
cnf(839298,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| ~ element(esk4_0,the_carrier(esk1_0))
| ~ element(X1,the_carrier(esk1_0))
| ~ rel_str(esk1_0)
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(spm,[status(thm)],[202,839293,theory(equality)]) ).
cnf(839305,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| $false
| ~ element(X1,the_carrier(esk1_0))
| ~ rel_str(esk1_0)
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(rw,[status(thm)],[839298,62,theory(equality)]) ).
cnf(839306,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| $false
| ~ element(X1,the_carrier(esk1_0))
| $false
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(rw,[status(thm)],[839305,65,theory(equality)]) ).
cnf(839307,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| ~ element(X1,the_carrier(esk1_0))
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(cn,[status(thm)],[839306,theory(equality)]) ).
cnf(839344,negated_conjecture,
( related(esk1_0,X1,esk4_0)
| ~ in(X1,the_carrier(esk1_0))
| ~ related(esk1_0,X1,esk3_0) ),
inference(csr,[status(thm)],[839307,75]) ).
cnf(839345,negated_conjecture,
( ~ in(esk2_0,the_carrier(esk1_0))
| ~ related(esk1_0,esk2_0,esk3_0) ),
inference(spm,[status(thm)],[59,839344,theory(equality)]) ).
cnf(839350,negated_conjecture,
( $false
| ~ related(esk1_0,esk2_0,esk3_0) ),
inference(rw,[status(thm)],[839345,774257,theory(equality)]) ).
cnf(839351,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[839350,61,theory(equality)]) ).
cnf(839352,negated_conjecture,
$false,
inference(cn,[status(thm)],[839351,theory(equality)]) ).
cnf(839353,negated_conjecture,
$false,
839352,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU340+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmphglSzN/sel_SEU340+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmphglSzN/sel_SEU340+1.p_2 with time limit 81
% -prover status Theorem
% Problem SEU340+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU340+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU340+1.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
%
%------------------------------------------------------------------------------