TSTP Solution File: SEU359+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU359+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 07:44:09 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 3
% Syntax : Number of formulae : 123 ( 10 unt; 0 def)
% Number of atoms : 815 ( 99 equ)
% Maximal formula atoms : 57 ( 6 avg)
% Number of connectives : 1140 ( 448 ~; 552 |; 114 &)
% ( 2 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 151 ( 0 sgn 62 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(6,axiom,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( ex_sup_of_relstr_set(X1,X2)
<=> ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ),
file('/tmp/tmp-rSlv2/sel_SEU359+1.p_1',t15_yellow_0) ).
fof(7,axiom,
! [X1] :
( rel_str(X1)
=> ! [X2,X3] :
( element(X3,the_carrier(X1))
=> ( ex_sup_of_relstr_set(X1,X2)
=> ( X3 = join_on_relstr(X1,X2)
<=> ( relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X2,X4)
=> related(X1,X3,X4) ) ) ) ) ) ) ),
file('/tmp/tmp-rSlv2/sel_SEU359+1.p_1',d9_yellow_0) ).
fof(10,conjecture,
! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
file('/tmp/tmp-rSlv2/sel_SEU359+1.p_1',t30_yellow_0) ).
fof(12,negated_conjecture,
~ ! [X1] :
( ( antisymmetric_relstr(X1)
& rel_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( ( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) )
=> ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) ) )
& ( ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( element(X4,the_carrier(X1))
=> ( relstr_set_smaller(X1,X3,X4)
=> related(X1,X2,X4) ) ) )
=> ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(24,plain,
! [X1] :
( ~ antisymmetric_relstr(X1)
| ~ rel_str(X1)
| ! [X2] :
( ( ~ ex_sup_of_relstr_set(X1,X2)
| ? [X3] :
( element(X3,the_carrier(X1))
& relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X4)
| related(X1,X3,X4) ) ) )
& ( ! [X3] :
( ~ element(X3,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X3)
| ? [X4] :
( element(X4,the_carrier(X1))
& relstr_set_smaller(X1,X2,X4)
& ~ related(X1,X3,X4) ) )
| ex_sup_of_relstr_set(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(25,plain,
! [X5] :
( ~ antisymmetric_relstr(X5)
| ~ rel_str(X5)
| ! [X6] :
( ( ~ ex_sup_of_relstr_set(X5,X6)
| ? [X7] :
( element(X7,the_carrier(X5))
& relstr_set_smaller(X5,X6,X7)
& ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8) ) ) )
& ( ! [X9] :
( ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ? [X10] :
( element(X10,the_carrier(X5))
& relstr_set_smaller(X5,X6,X10)
& ~ related(X5,X9,X10) ) )
| ex_sup_of_relstr_set(X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,plain,
! [X5] :
( ~ antisymmetric_relstr(X5)
| ~ rel_str(X5)
| ! [X6] :
( ( ~ ex_sup_of_relstr_set(X5,X6)
| ( element(esk3_2(X5,X6),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk3_2(X5,X6))
& ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk3_2(X5,X6),X8) ) ) )
& ( ! [X9] :
( ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ( element(esk4_3(X5,X6,X9),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))
& ~ related(X5,X9,esk4_3(X5,X6,X9)) ) )
| ex_sup_of_relstr_set(X5,X6) ) ) ),
inference(skolemize,[status(esa)],[25]) ).
fof(27,plain,
! [X5,X6,X8,X9] :
( ( ( ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ( element(esk4_3(X5,X6,X9),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))
& ~ related(X5,X9,esk4_3(X5,X6,X9)) )
| ex_sup_of_relstr_set(X5,X6) )
& ( ( ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk3_2(X5,X6),X8) )
& element(esk3_2(X5,X6),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk3_2(X5,X6)) )
| ~ ex_sup_of_relstr_set(X5,X6) ) )
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) ),
inference(shift_quantors,[status(thm)],[26]) ).
fof(28,plain,
! [X5,X6,X8,X9] :
( ( element(esk4_3(X5,X6,X9),the_carrier(X5))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk4_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ related(X5,X9,esk4_3(X5,X6,X9))
| ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X9)
| ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,esk3_2(X5,X6),X8)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( element(esk3_2(X5,X6),the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk3_2(X5,X6))
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ antisymmetric_relstr(X5)
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[27]) ).
cnf(32,plain,
( ex_sup_of_relstr_set(X1,X2)
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1))
| ~ related(X1,X3,esk4_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(33,plain,
( ex_sup_of_relstr_set(X1,X2)
| relstr_set_smaller(X1,X2,esk4_3(X1,X2,X3))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(34,plain,
( ex_sup_of_relstr_set(X1,X2)
| element(esk4_3(X1,X2,X3),the_carrier(X1))
| ~ rel_str(X1)
| ~ antisymmetric_relstr(X1)
| ~ relstr_set_smaller(X1,X2,X3)
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(35,plain,
! [X1] :
( ~ rel_str(X1)
| ! [X2,X3] :
( ~ element(X3,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X2)
| ( ( X3 != join_on_relstr(X1,X2)
| ( relstr_set_smaller(X1,X2,X3)
& ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ relstr_set_smaller(X1,X2,X4)
| related(X1,X3,X4) ) ) )
& ( ~ relstr_set_smaller(X1,X2,X3)
| ? [X4] :
( element(X4,the_carrier(X1))
& relstr_set_smaller(X1,X2,X4)
& ~ related(X1,X3,X4) )
| X3 = join_on_relstr(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(36,plain,
! [X5] :
( ~ rel_str(X5)
| ! [X6,X7] :
( ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ( ( X7 != join_on_relstr(X5,X6)
| ( relstr_set_smaller(X5,X6,X7)
& ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8) ) ) )
& ( ~ relstr_set_smaller(X5,X6,X7)
| ? [X9] :
( element(X9,the_carrier(X5))
& relstr_set_smaller(X5,X6,X9)
& ~ related(X5,X7,X9) )
| X7 = join_on_relstr(X5,X6) ) ) ) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X5] :
( ~ rel_str(X5)
| ! [X6,X7] :
( ~ element(X7,the_carrier(X5))
| ~ ex_sup_of_relstr_set(X5,X6)
| ( ( X7 != join_on_relstr(X5,X6)
| ( relstr_set_smaller(X5,X6,X7)
& ! [X8] :
( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8) ) ) )
& ( ~ relstr_set_smaller(X5,X6,X7)
| ( element(esk5_3(X5,X6,X7),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk5_3(X5,X6,X7))
& ~ related(X5,X7,esk5_3(X5,X6,X7)) )
| X7 = join_on_relstr(X5,X6) ) ) ) ),
inference(skolemize,[status(esa)],[36]) ).
fof(38,plain,
! [X5,X6,X7,X8] :
( ( ( ( ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8) )
& relstr_set_smaller(X5,X6,X7) )
| X7 != join_on_relstr(X5,X6) )
& ( ~ relstr_set_smaller(X5,X6,X7)
| ( element(esk5_3(X5,X6,X7),the_carrier(X5))
& relstr_set_smaller(X5,X6,esk5_3(X5,X6,X7))
& ~ related(X5,X7,esk5_3(X5,X6,X7)) )
| X7 = join_on_relstr(X5,X6) ) )
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ),
inference(shift_quantors,[status(thm)],[37]) ).
fof(39,plain,
! [X5,X6,X7,X8] :
( ( ~ element(X8,the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X8)
| related(X5,X7,X8)
| X7 != join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,X7)
| X7 != join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( element(esk5_3(X5,X6,X7),the_carrier(X5))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( relstr_set_smaller(X5,X6,esk5_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) )
& ( ~ related(X5,X7,esk5_3(X5,X6,X7))
| ~ relstr_set_smaller(X5,X6,X7)
| X7 = join_on_relstr(X5,X6)
| ~ ex_sup_of_relstr_set(X5,X6)
| ~ element(X7,the_carrier(X5))
| ~ rel_str(X5) ) ),
inference(distribute,[status(thm)],[38]) ).
cnf(40,plain,
( X2 = join_on_relstr(X1,X3)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2)
| ~ related(X1,X2,esk5_3(X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(41,plain,
( X2 = join_on_relstr(X1,X3)
| relstr_set_smaller(X1,X3,esk5_3(X1,X3,X2))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(42,plain,
( X2 = join_on_relstr(X1,X3)
| element(esk5_3(X1,X3,X2),the_carrier(X1))
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| ~ relstr_set_smaller(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(43,plain,
( relstr_set_smaller(X1,X3,X2)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| X2 != join_on_relstr(X1,X3) ),
inference(split_conjunct,[status(thm)],[39]) ).
cnf(44,plain,
( related(X1,X2,X4)
| ~ rel_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ ex_sup_of_relstr_set(X1,X3)
| X2 != join_on_relstr(X1,X3)
| ~ relstr_set_smaller(X1,X3,X4)
| ~ element(X4,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[39]) ).
fof(49,negated_conjecture,
? [X1] :
( antisymmetric_relstr(X1)
& rel_str(X1)
& ? [X2] :
( element(X2,the_carrier(X1))
& ? [X3] :
( ( X2 = join_on_relstr(X1,X3)
& ex_sup_of_relstr_set(X1,X3)
& ( ~ relstr_set_smaller(X1,X3,X2)
| ? [X4] :
( element(X4,the_carrier(X1))
& relstr_set_smaller(X1,X3,X4)
& ~ related(X1,X2,X4) ) ) )
| ( relstr_set_smaller(X1,X3,X2)
& ! [X4] :
( ~ element(X4,the_carrier(X1))
| ~ relstr_set_smaller(X1,X3,X4)
| related(X1,X2,X4) )
& ( X2 != join_on_relstr(X1,X3)
| ~ ex_sup_of_relstr_set(X1,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(50,negated_conjecture,
? [X5] :
( antisymmetric_relstr(X5)
& rel_str(X5)
& ? [X6] :
( element(X6,the_carrier(X5))
& ? [X7] :
( ( X6 = join_on_relstr(X5,X7)
& ex_sup_of_relstr_set(X5,X7)
& ( ~ relstr_set_smaller(X5,X7,X6)
| ? [X8] :
( element(X8,the_carrier(X5))
& relstr_set_smaller(X5,X7,X8)
& ~ related(X5,X6,X8) ) ) )
| ( relstr_set_smaller(X5,X7,X6)
& ! [X9] :
( ~ element(X9,the_carrier(X5))
| ~ relstr_set_smaller(X5,X7,X9)
| related(X5,X6,X9) )
& ( X6 != join_on_relstr(X5,X7)
| ~ ex_sup_of_relstr_set(X5,X7) ) ) ) ) ),
inference(variable_rename,[status(thm)],[49]) ).
fof(51,negated_conjecture,
( antisymmetric_relstr(esk6_0)
& rel_str(esk6_0)
& element(esk7_0,the_carrier(esk6_0))
& ( ( esk7_0 = join_on_relstr(esk6_0,esk8_0)
& ex_sup_of_relstr_set(esk6_0,esk8_0)
& ( ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ( element(esk9_0,the_carrier(esk6_0))
& relstr_set_smaller(esk6_0,esk8_0,esk9_0)
& ~ related(esk6_0,esk7_0,esk9_0) ) ) )
| ( relstr_set_smaller(esk6_0,esk8_0,esk7_0)
& ! [X9] :
( ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ) ) ) ),
inference(skolemize,[status(esa)],[50]) ).
fof(52,negated_conjecture,
! [X9] :
( ( ( ( ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& relstr_set_smaller(esk6_0,esk8_0,esk7_0)
& ( esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ) )
| ( esk7_0 = join_on_relstr(esk6_0,esk8_0)
& ex_sup_of_relstr_set(esk6_0,esk8_0)
& ( ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ( element(esk9_0,the_carrier(esk6_0))
& relstr_set_smaller(esk6_0,esk8_0,esk9_0)
& ~ related(esk6_0,esk7_0,esk9_0) ) ) ) )
& element(esk7_0,the_carrier(esk6_0))
& antisymmetric_relstr(esk6_0)
& rel_str(esk6_0) ),
inference(shift_quantors,[status(thm)],[51]) ).
fof(53,negated_conjecture,
! [X9] :
( ( esk7_0 = join_on_relstr(esk6_0,esk8_0)
| ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( element(esk9_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( ~ related(esk6_0,esk7_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ element(X9,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X9)
| related(esk6_0,esk7_0,X9) )
& ( esk7_0 = join_on_relstr(esk6_0,esk8_0)
| relstr_set_smaller(esk6_0,esk8_0,esk7_0) )
& ( ex_sup_of_relstr_set(esk6_0,esk8_0)
| relstr_set_smaller(esk6_0,esk8_0,esk7_0) )
& ( element(esk9_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| relstr_set_smaller(esk6_0,esk8_0,esk7_0) )
& ( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| relstr_set_smaller(esk6_0,esk8_0,esk7_0) )
& ( ~ related(esk6_0,esk7_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| relstr_set_smaller(esk6_0,esk8_0,esk7_0) )
& ( esk7_0 = join_on_relstr(esk6_0,esk8_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) )
& ( ex_sup_of_relstr_set(esk6_0,esk8_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) )
& ( element(esk9_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) )
& ( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) )
& ( ~ related(esk6_0,esk7_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) )
& element(esk7_0,the_carrier(esk6_0))
& antisymmetric_relstr(esk6_0)
& rel_str(esk6_0) ),
inference(distribute,[status(thm)],[52]) ).
cnf(54,negated_conjecture,
rel_str(esk6_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(55,negated_conjecture,
antisymmetric_relstr(esk6_0),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(56,negated_conjecture,
element(esk7_0,the_carrier(esk6_0)),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(57,negated_conjecture,
( ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ related(esk6_0,esk7_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(58,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(59,negated_conjecture,
( element(esk9_0,the_carrier(esk6_0))
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| esk7_0 != join_on_relstr(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(65,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(66,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| esk7_0 = join_on_relstr(esk6_0,esk8_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(67,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ related(esk6_0,esk7_0,esk9_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(68,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(69,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| element(esk9_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(70,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(71,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| esk7_0 = join_on_relstr(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(split_conjunct,[status(thm)],[53]) ).
cnf(83,negated_conjecture,
( relstr_set_smaller(esk6_0,X1,esk7_0)
| join_on_relstr(esk6_0,X1) != esk7_0
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ rel_str(esk6_0) ),
inference(spm,[status(thm)],[43,56,theory(equality)]) ).
cnf(87,negated_conjecture,
( relstr_set_smaller(esk6_0,X1,esk7_0)
| join_on_relstr(esk6_0,X1) != esk7_0
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false ),
inference(rw,[status(thm)],[83,54,theory(equality)]) ).
cnf(88,negated_conjecture,
( relstr_set_smaller(esk6_0,X1,esk7_0)
| join_on_relstr(esk6_0,X1) != esk7_0
| ~ ex_sup_of_relstr_set(esk6_0,X1) ),
inference(cn,[status(thm)],[87,theory(equality)]) ).
cnf(96,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ antisymmetric_relstr(esk6_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ element(esk4_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[32,70,theory(equality)]) ).
cnf(101,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ element(esk4_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[96,55,theory(equality)]) ).
cnf(102,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| $false
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ element(esk4_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[101,54,theory(equality)]) ).
cnf(103,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| $false
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ element(esk4_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[102,56,theory(equality)]) ).
cnf(104,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,X1)
| ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ element(esk4_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[103,theory(equality)]) ).
cnf(138,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(spm,[status(thm)],[88,66,theory(equality)]) ).
cnf(139,negated_conjecture,
relstr_set_smaller(esk6_0,esk8_0,esk7_0),
inference(csr,[status(thm)],[138,65]) ).
cnf(141,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ related(esk6_0,esk7_0,esk9_0)
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[67,139,theory(equality)]) ).
cnf(142,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ related(esk6_0,esk7_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[141,theory(equality)]) ).
cnf(143,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[68,139,theory(equality)]) ).
cnf(144,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[143,theory(equality)]) ).
cnf(145,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| element(esk9_0,the_carrier(esk6_0))
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[69,139,theory(equality)]) ).
cnf(146,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| element(esk9_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[145,theory(equality)]) ).
cnf(147,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ related(esk6_0,esk7_0,esk9_0)
| $false
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(rw,[status(thm)],[57,139,theory(equality)]) ).
cnf(148,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ related(esk6_0,esk7_0,esk9_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(cn,[status(thm)],[147,theory(equality)]) ).
cnf(149,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| $false
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(rw,[status(thm)],[58,139,theory(equality)]) ).
cnf(150,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(cn,[status(thm)],[149,theory(equality)]) ).
cnf(151,negated_conjecture,
( element(esk9_0,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| $false
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(rw,[status(thm)],[59,139,theory(equality)]) ).
cnf(152,negated_conjecture,
( element(esk9_0,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0) ),
inference(cn,[status(thm)],[151,theory(equality)]) ).
cnf(163,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[40,144,theory(equality)]) ).
cnf(170,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[163,54,theory(equality)]) ).
cnf(171,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[170,56,theory(equality)]) ).
cnf(172,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[171,theory(equality)]) ).
cnf(192,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ antisymmetric_relstr(esk6_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[104,34,theory(equality)]) ).
cnf(193,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[192,55,theory(equality)]) ).
cnf(194,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[193,54,theory(equality)]) ).
cnf(195,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[194,56,theory(equality)]) ).
cnf(196,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk4_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0) ),
inference(cn,[status(thm)],[195,theory(equality)]) ).
cnf(197,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ antisymmetric_relstr(esk6_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[196,33,theory(equality)]) ).
cnf(198,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| $false
| ~ antisymmetric_relstr(esk6_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[197,139,theory(equality)]) ).
cnf(199,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| $false
| $false
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[198,55,theory(equality)]) ).
cnf(200,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| $false
| $false
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[199,54,theory(equality)]) ).
cnf(201,negated_conjecture,
( ex_sup_of_relstr_set(esk6_0,esk8_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[200,56,theory(equality)]) ).
cnf(202,negated_conjecture,
ex_sup_of_relstr_set(esk6_0,esk8_0),
inference(cn,[status(thm)],[201,theory(equality)]) ).
cnf(205,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ related(esk6_0,esk7_0,esk9_0)
| $false ),
inference(rw,[status(thm)],[148,202,theory(equality)]) ).
cnf(206,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ related(esk6_0,esk7_0,esk9_0) ),
inference(cn,[status(thm)],[205,theory(equality)]) ).
cnf(209,negated_conjecture,
( element(esk9_0,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| $false ),
inference(rw,[status(thm)],[152,202,theory(equality)]) ).
cnf(210,negated_conjecture,
( element(esk9_0,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0 ),
inference(cn,[status(thm)],[209,theory(equality)]) ).
cnf(211,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| $false ),
inference(rw,[status(thm)],[150,202,theory(equality)]) ).
cnf(212,negated_conjecture,
( relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != esk7_0 ),
inference(cn,[status(thm)],[211,theory(equality)]) ).
cnf(272,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[172,42,theory(equality)]) ).
cnf(273,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[272,54,theory(equality)]) ).
cnf(274,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[273,56,theory(equality)]) ).
cnf(275,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1) ),
inference(cn,[status(thm)],[274,theory(equality)]) ).
cnf(276,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[275,41,theory(equality)]) ).
cnf(277,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| $false
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[276,139,theory(equality)]) ).
cnf(278,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| $false
| $false
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[277,202,theory(equality)]) ).
cnf(279,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| $false
| $false
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[278,54,theory(equality)]) ).
cnf(280,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[279,56,theory(equality)]) ).
cnf(281,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| relstr_set_smaller(esk6_0,esk8_0,esk9_0) ),
inference(cn,[status(thm)],[280,theory(equality)]) ).
cnf(286,negated_conjecture,
relstr_set_smaller(esk6_0,esk8_0,esk9_0),
inference(csr,[status(thm)],[281,212]) ).
cnf(287,negated_conjecture,
( related(esk6_0,X1,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != X1
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ rel_str(esk6_0)
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(X1,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[44,286,theory(equality)]) ).
cnf(293,negated_conjecture,
( related(esk6_0,X1,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != X1
| $false
| ~ rel_str(esk6_0)
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(X1,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[287,202,theory(equality)]) ).
cnf(294,negated_conjecture,
( related(esk6_0,X1,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != X1
| $false
| $false
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(X1,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[293,54,theory(equality)]) ).
cnf(295,negated_conjecture,
( related(esk6_0,X1,esk9_0)
| join_on_relstr(esk6_0,esk8_0) != X1
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(X1,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[294,theory(equality)]) ).
cnf(296,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[142,295,theory(equality)]) ).
cnf(297,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0))
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[206,295,theory(equality)]) ).
cnf(298,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0))
| $false ),
inference(rw,[status(thm)],[296,56,theory(equality)]) ).
cnf(299,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0))
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[298,theory(equality)]) ).
cnf(300,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0))
| $false ),
inference(rw,[status(thm)],[297,56,theory(equality)]) ).
cnf(301,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ element(esk9_0,the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[300,theory(equality)]) ).
cnf(302,negated_conjecture,
join_on_relstr(esk6_0,esk8_0) != esk7_0,
inference(csr,[status(thm)],[301,210]) ).
cnf(303,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| join_on_relstr(esk6_0,esk8_0) != esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(csr,[status(thm)],[299,146]) ).
cnf(304,negated_conjecture,
( related(esk6_0,esk7_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,X1)
| ~ element(X1,the_carrier(esk6_0)) ),
inference(csr,[status(thm)],[303,71]) ).
cnf(306,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[40,304,theory(equality)]) ).
cnf(312,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| ~ element(esk7_0,the_carrier(esk6_0))
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[306,54,theory(equality)]) ).
cnf(313,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| $false
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[312,56,theory(equality)]) ).
cnf(314,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ element(esk5_3(esk6_0,X1,esk7_0),the_carrier(esk6_0)) ),
inference(cn,[status(thm)],[313,theory(equality)]) ).
cnf(337,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[314,42,theory(equality)]) ).
cnf(338,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[337,54,theory(equality)]) ).
cnf(339,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[338,56,theory(equality)]) ).
cnf(340,negated_conjecture,
( join_on_relstr(esk6_0,X1) = esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,esk5_3(esk6_0,X1,esk7_0))
| ~ relstr_set_smaller(esk6_0,X1,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,X1) ),
inference(cn,[status(thm)],[339,theory(equality)]) ).
cnf(341,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| ~ relstr_set_smaller(esk6_0,esk8_0,esk7_0)
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(spm,[status(thm)],[340,41,theory(equality)]) ).
cnf(343,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| $false
| ~ ex_sup_of_relstr_set(esk6_0,esk8_0)
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[341,139,theory(equality)]) ).
cnf(344,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| $false
| $false
| ~ rel_str(esk6_0)
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[343,202,theory(equality)]) ).
cnf(345,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| $false
| $false
| $false
| ~ element(esk7_0,the_carrier(esk6_0)) ),
inference(rw,[status(thm)],[344,54,theory(equality)]) ).
cnf(346,negated_conjecture,
( join_on_relstr(esk6_0,esk8_0) = esk7_0
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[345,56,theory(equality)]) ).
cnf(347,negated_conjecture,
join_on_relstr(esk6_0,esk8_0) = esk7_0,
inference(cn,[status(thm)],[346,theory(equality)]) ).
cnf(348,negated_conjecture,
$false,
inference(sr,[status(thm)],[347,302,theory(equality)]) ).
cnf(349,negated_conjecture,
$false,
348,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU359+1.p
% --creating new selector for []
% -running prover on /tmp/tmp-rSlv2/sel_SEU359+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU359+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU359+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU359+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
%
%------------------------------------------------------------------------------