%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU348+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 07:41:50 EST 2010
% Result : Theorem 0.27s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 13 unt; 0 def)
% Number of atoms : 296 ( 22 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 343 ( 120 ~; 155 |; 43 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 55 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
file('/tmp/tmpMtH3Zr/sel_SEU348+1.p_1',d3_lattice3) ).
fof(8,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
file('/tmp/tmpMtH3Zr/sel_SEU348+1.p_1',d4_lattice3) ).
fof(18,conjecture,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
=> ( relstr_element_smaller(poset_of_lattice(X2),X1,X3)
<=> latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
file('/tmp/tmpMtH3Zr/sel_SEU348+1.p_1',t29_lattice3) ).
fof(49,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
file('/tmp/tmpMtH3Zr/sel_SEU348+1.p_1',dt_k5_lattice3) ).
fof(58,axiom,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_set_smaller(X2,X3,X1)
<=> relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
file('/tmp/tmpMtH3Zr/sel_SEU348+1.p_1',t28_lattice3) ).
fof(66,negated_conjecture,
~ ! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
=> ( relstr_element_smaller(poset_of_lattice(X2),X1,X3)
<=> latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(67,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(70,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(poset_of_lattice(X1)))
=> cast_to_el_of_lattice(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[8,theory(equality)]) ).
fof(75,negated_conjecture,
~ ! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
=> ( relstr_element_smaller(poset_of_lattice(X2),X1,X3)
<=> latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
inference(fof_simplification,[status(thm)],[66,theory(equality)]) ).
fof(82,plain,
! [X1,X2] :
( ( ~ empty_carrier(X1)
& lattice(X1)
& latt_str(X1)
& element(X2,the_carrier(poset_of_lattice(X1))) )
=> element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[49,theory(equality)]) ).
fof(87,plain,
! [X1,X2] :
( ( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2) )
=> ! [X3] :
( element(X3,the_carrier(X2))
=> ( latt_set_smaller(X2,X3,X1)
<=> relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[58,theory(equality)]) ).
fof(91,plain,
! [X1] :
( empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| cast_to_el_of_LattPOSet(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[67]) ).
fof(92,plain,
! [X3] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ! [X4] :
( ~ element(X4,the_carrier(X3))
| cast_to_el_of_LattPOSet(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[91]) ).
fof(93,plain,
! [X3,X4] :
( ~ element(X4,the_carrier(X3))
| cast_to_el_of_LattPOSet(X3,X4) = X4
| empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3) ),
inference(shift_quantors,[status(thm)],[92]) ).
cnf(94,plain,
( empty_carrier(X1)
| cast_to_el_of_LattPOSet(X1,X2) = X2
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[93]) ).
fof(111,plain,
! [X1] :
( empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1)
| ! [X2] :
( ~ element(X2,the_carrier(poset_of_lattice(X1)))
| cast_to_el_of_lattice(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[70]) ).
fof(112,plain,
! [X3] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ! [X4] :
( ~ element(X4,the_carrier(poset_of_lattice(X3)))
| cast_to_el_of_lattice(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[111]) ).
fof(113,plain,
! [X3,X4] :
( ~ element(X4,the_carrier(poset_of_lattice(X3)))
| cast_to_el_of_lattice(X3,X4) = X4
| empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3) ),
inference(shift_quantors,[status(thm)],[112]) ).
cnf(114,plain,
( empty_carrier(X1)
| cast_to_el_of_lattice(X1,X2) = X2
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1))) ),
inference(split_conjunct,[status(thm)],[113]) ).
fof(144,negated_conjecture,
? [X1,X2] :
( ~ empty_carrier(X2)
& lattice(X2)
& latt_str(X2)
& ? [X3] :
( element(X3,the_carrier(poset_of_lattice(X2)))
& ( ~ relstr_element_smaller(poset_of_lattice(X2),X1,X3)
| ~ latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) )
& ( relstr_element_smaller(poset_of_lattice(X2),X1,X3)
| latt_set_smaller(X2,cast_to_el_of_lattice(X2,X3),X1) ) ) ),
inference(fof_nnf,[status(thm)],[75]) ).
fof(145,negated_conjecture,
? [X4,X5] :
( ~ empty_carrier(X5)
& lattice(X5)
& latt_str(X5)
& ? [X6] :
( element(X6,the_carrier(poset_of_lattice(X5)))
& ( ~ relstr_element_smaller(poset_of_lattice(X5),X4,X6)
| ~ latt_set_smaller(X5,cast_to_el_of_lattice(X5,X6),X4) )
& ( relstr_element_smaller(poset_of_lattice(X5),X4,X6)
| latt_set_smaller(X5,cast_to_el_of_lattice(X5,X6),X4) ) ) ),
inference(variable_rename,[status(thm)],[144]) ).
fof(146,negated_conjecture,
( ~ empty_carrier(esk5_0)
& lattice(esk5_0)
& latt_str(esk5_0)
& element(esk6_0,the_carrier(poset_of_lattice(esk5_0)))
& ( ~ relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0)
| ~ latt_set_smaller(esk5_0,cast_to_el_of_lattice(esk5_0,esk6_0),esk4_0) )
& ( relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0)
| latt_set_smaller(esk5_0,cast_to_el_of_lattice(esk5_0,esk6_0),esk4_0) ) ),
inference(skolemize,[status(esa)],[145]) ).
cnf(147,negated_conjecture,
( latt_set_smaller(esk5_0,cast_to_el_of_lattice(esk5_0,esk6_0),esk4_0)
| relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(148,negated_conjecture,
( ~ latt_set_smaller(esk5_0,cast_to_el_of_lattice(esk5_0,esk6_0),esk4_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(149,negated_conjecture,
element(esk6_0,the_carrier(poset_of_lattice(esk5_0))),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(150,negated_conjecture,
latt_str(esk5_0),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(151,negated_conjecture,
lattice(esk5_0),
inference(split_conjunct,[status(thm)],[146]) ).
cnf(152,negated_conjecture,
~ empty_carrier(esk5_0),
inference(split_conjunct,[status(thm)],[146]) ).
fof(262,plain,
! [X1,X2] :
( empty_carrier(X1)
| ~ lattice(X1)
| ~ latt_str(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| element(cast_to_el_of_lattice(X1,X2),the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[82]) ).
fof(263,plain,
! [X3,X4] :
( empty_carrier(X3)
| ~ lattice(X3)
| ~ latt_str(X3)
| ~ element(X4,the_carrier(poset_of_lattice(X3)))
| element(cast_to_el_of_lattice(X3,X4),the_carrier(X3)) ),
inference(variable_rename,[status(thm)],[262]) ).
cnf(264,plain,
( element(cast_to_el_of_lattice(X1,X2),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X2,the_carrier(poset_of_lattice(X1)))
| ~ latt_str(X1)
| ~ lattice(X1) ),
inference(split_conjunct,[status(thm)],[263]) ).
fof(295,plain,
! [X1,X2] :
( empty_carrier(X2)
| ~ lattice(X2)
| ~ latt_str(X2)
| ! [X3] :
( ~ element(X3,the_carrier(X2))
| ( ( ~ latt_set_smaller(X2,X3,X1)
| relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3)) )
& ( ~ relstr_element_smaller(poset_of_lattice(X2),X1,cast_to_el_of_LattPOSet(X2,X3))
| latt_set_smaller(X2,X3,X1) ) ) ) ),
inference(fof_nnf,[status(thm)],[87]) ).
fof(296,plain,
! [X4,X5] :
( empty_carrier(X5)
| ~ lattice(X5)
| ~ latt_str(X5)
| ! [X6] :
( ~ element(X6,the_carrier(X5))
| ( ( ~ latt_set_smaller(X5,X6,X4)
| relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6)) )
& ( ~ relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6))
| latt_set_smaller(X5,X6,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[295]) ).
fof(297,plain,
! [X4,X5,X6] :
( ~ element(X6,the_carrier(X5))
| ( ( ~ latt_set_smaller(X5,X6,X4)
| relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6)) )
& ( ~ relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6))
| latt_set_smaller(X5,X6,X4) ) )
| empty_carrier(X5)
| ~ lattice(X5)
| ~ latt_str(X5) ),
inference(shift_quantors,[status(thm)],[296]) ).
fof(298,plain,
! [X4,X5,X6] :
( ( ~ latt_set_smaller(X5,X6,X4)
| relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6))
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ lattice(X5)
| ~ latt_str(X5) )
& ( ~ relstr_element_smaller(poset_of_lattice(X5),X4,cast_to_el_of_LattPOSet(X5,X6))
| latt_set_smaller(X5,X6,X4)
| ~ element(X6,the_carrier(X5))
| empty_carrier(X5)
| ~ lattice(X5)
| ~ latt_str(X5) ) ),
inference(distribute,[status(thm)],[297]) ).
cnf(299,plain,
( empty_carrier(X1)
| latt_set_smaller(X1,X2,X3)
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2)) ),
inference(split_conjunct,[status(thm)],[298]) ).
cnf(300,plain,
( empty_carrier(X1)
| relstr_element_smaller(poset_of_lattice(X1),X3,cast_to_el_of_LattPOSet(X1,X2))
| ~ latt_str(X1)
| ~ lattice(X1)
| ~ element(X2,the_carrier(X1))
| ~ latt_set_smaller(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[298]) ).
cnf(536,negated_conjecture,
( cast_to_el_of_lattice(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| ~ latt_str(esk5_0)
| ~ lattice(esk5_0) ),
inference(spm,[status(thm)],[114,149,theory(equality)]) ).
cnf(542,negated_conjecture,
( cast_to_el_of_lattice(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| $false
| ~ lattice(esk5_0) ),
inference(rw,[status(thm)],[536,150,theory(equality)]) ).
cnf(543,negated_conjecture,
( cast_to_el_of_lattice(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[542,151,theory(equality)]) ).
cnf(544,negated_conjecture,
( cast_to_el_of_lattice(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0) ),
inference(cn,[status(thm)],[543,theory(equality)]) ).
cnf(545,negated_conjecture,
cast_to_el_of_lattice(esk5_0,esk6_0) = esk6_0,
inference(sr,[status(thm)],[544,152,theory(equality)]) ).
cnf(546,negated_conjecture,
( element(cast_to_el_of_lattice(esk5_0,esk6_0),the_carrier(esk5_0))
| empty_carrier(esk5_0)
| ~ latt_str(esk5_0)
| ~ lattice(esk5_0) ),
inference(spm,[status(thm)],[264,149,theory(equality)]) ).
cnf(552,negated_conjecture,
( element(cast_to_el_of_lattice(esk5_0,esk6_0),the_carrier(esk5_0))
| empty_carrier(esk5_0)
| $false
| ~ lattice(esk5_0) ),
inference(rw,[status(thm)],[546,150,theory(equality)]) ).
cnf(553,negated_conjecture,
( element(cast_to_el_of_lattice(esk5_0,esk6_0),the_carrier(esk5_0))
| empty_carrier(esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[552,151,theory(equality)]) ).
cnf(554,negated_conjecture,
( element(cast_to_el_of_lattice(esk5_0,esk6_0),the_carrier(esk5_0))
| empty_carrier(esk5_0) ),
inference(cn,[status(thm)],[553,theory(equality)]) ).
cnf(555,negated_conjecture,
element(cast_to_el_of_lattice(esk5_0,esk6_0),the_carrier(esk5_0)),
inference(sr,[status(thm)],[554,152,theory(equality)]) ).
cnf(585,negated_conjecture,
( ~ latt_set_smaller(esk5_0,esk6_0,esk4_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0) ),
inference(rw,[status(thm)],[148,545,theory(equality)]) ).
cnf(586,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,esk4_0)
| relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0) ),
inference(rw,[status(thm)],[147,545,theory(equality)]) ).
cnf(607,negated_conjecture,
element(esk6_0,the_carrier(esk5_0)),
inference(rw,[status(thm)],[555,545,theory(equality)]) ).
cnf(611,negated_conjecture,
( cast_to_el_of_LattPOSet(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| ~ latt_str(esk5_0)
| ~ lattice(esk5_0) ),
inference(spm,[status(thm)],[94,607,theory(equality)]) ).
cnf(613,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| empty_carrier(esk5_0)
| ~ latt_set_smaller(esk5_0,esk6_0,X1)
| ~ latt_str(esk5_0)
| ~ lattice(esk5_0) ),
inference(spm,[status(thm)],[300,607,theory(equality)]) ).
cnf(614,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| empty_carrier(esk5_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| ~ latt_str(esk5_0)
| ~ lattice(esk5_0) ),
inference(spm,[status(thm)],[299,607,theory(equality)]) ).
cnf(615,negated_conjecture,
( cast_to_el_of_LattPOSet(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| $false
| ~ lattice(esk5_0) ),
inference(rw,[status(thm)],[611,150,theory(equality)]) ).
cnf(616,negated_conjecture,
( cast_to_el_of_LattPOSet(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0)
| $false
| $false ),
inference(rw,[status(thm)],[615,151,theory(equality)]) ).
cnf(617,negated_conjecture,
( cast_to_el_of_LattPOSet(esk5_0,esk6_0) = esk6_0
| empty_carrier(esk5_0) ),
inference(cn,[status(thm)],[616,theory(equality)]) ).
cnf(618,negated_conjecture,
cast_to_el_of_LattPOSet(esk5_0,esk6_0) = esk6_0,
inference(sr,[status(thm)],[617,152,theory(equality)]) ).
cnf(623,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| empty_carrier(esk5_0)
| ~ latt_set_smaller(esk5_0,esk6_0,X1)
| $false
| ~ lattice(esk5_0) ),
inference(rw,[status(thm)],[613,150,theory(equality)]) ).
cnf(624,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| empty_carrier(esk5_0)
| ~ latt_set_smaller(esk5_0,esk6_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[623,151,theory(equality)]) ).
cnf(625,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| empty_carrier(esk5_0)
| ~ latt_set_smaller(esk5_0,esk6_0,X1) ),
inference(cn,[status(thm)],[624,theory(equality)]) ).
cnf(626,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| ~ latt_set_smaller(esk5_0,esk6_0,X1) ),
inference(sr,[status(thm)],[625,152,theory(equality)]) ).
cnf(627,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| empty_carrier(esk5_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| $false
| ~ lattice(esk5_0) ),
inference(rw,[status(thm)],[614,150,theory(equality)]) ).
cnf(628,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| empty_carrier(esk5_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0))
| $false
| $false ),
inference(rw,[status(thm)],[627,151,theory(equality)]) ).
cnf(629,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| empty_carrier(esk5_0)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0)) ),
inference(cn,[status(thm)],[628,theory(equality)]) ).
cnf(630,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,cast_to_el_of_LattPOSet(esk5_0,esk6_0)) ),
inference(sr,[status(thm)],[629,152,theory(equality)]) ).
cnf(728,negated_conjecture,
( relstr_element_smaller(poset_of_lattice(esk5_0),X1,esk6_0)
| ~ latt_set_smaller(esk5_0,esk6_0,X1) ),
inference(rw,[status(thm)],[626,618,theory(equality)]) ).
cnf(729,negated_conjecture,
relstr_element_smaller(poset_of_lattice(esk5_0),esk4_0,esk6_0),
inference(spm,[status(thm)],[728,586,theory(equality)]) ).
cnf(733,negated_conjecture,
( ~ latt_set_smaller(esk5_0,esk6_0,esk4_0)
| $false ),
inference(rw,[status(thm)],[585,729,theory(equality)]) ).
cnf(734,negated_conjecture,
~ latt_set_smaller(esk5_0,esk6_0,esk4_0),
inference(cn,[status(thm)],[733,theory(equality)]) ).
cnf(748,negated_conjecture,
( latt_set_smaller(esk5_0,esk6_0,X1)
| ~ relstr_element_smaller(poset_of_lattice(esk5_0),X1,esk6_0) ),
inference(rw,[status(thm)],[630,618,theory(equality)]) ).
cnf(749,negated_conjecture,
latt_set_smaller(esk5_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[748,729,theory(equality)]) ).
cnf(752,negated_conjecture,
$false,
inference(sr,[status(thm)],[749,734,theory(equality)]) ).
cnf(753,negated_conjecture,
$false,
752,
[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/SEU348+1.p
% --creating new selector for []
% -running prover on /tmp/tmpMtH3Zr/sel_SEU348+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU348+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU348+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU348+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
%
%------------------------------------------------------------------------------