TSTP Solution File: SEU304+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : SEU304+1 : TPTP v5.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.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 07:03:41 EST 2010
% Result : Theorem 0.23s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of formulae : 79 ( 13 unt; 0 def)
% Number of atoms : 403 ( 48 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 513 ( 189 ~; 216 |; 76 &)
% ( 4 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 118 ( 0 sgn 88 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(11,axiom,
! [X1] :
( latt_str(X1)
=> ( meet_semilatt_str(X1)
& join_semilatt_str(X1) ) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',dt_l3_lattices) ).
fof(14,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',redefinition_k4_lattices) ).
fof(15,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> element(meet(X1,X2,X3),the_carrier(X1)) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',dt_k2_lattices) ).
fof(19,conjecture,
! [X1] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',t23_lattices) ).
fof(22,axiom,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',commutativity_k4_lattices) ).
fof(25,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below(X1,X2,X3)
<=> join(X1,X2,X3) = X3 ) ) ) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',d3_lattices) ).
fof(50,axiom,
! [X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ( meet_absorbing(X1)
<=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> join(X1,meet(X1,X2,X3),X3) = X3 ) ) ) ),
file('/tmp/tmp8onyWJ/sel_SEU304+1.p_1',d8_lattices) ).
fof(51,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
inference(assume_negation,[status(cth)],[19]) ).
fof(55,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(56,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> element(meet(X1,X2,X3),the_carrier(X1)) ),
inference(fof_simplification,[status(thm)],[15,theory(equality)]) ).
fof(59,negated_conjecture,
~ ! [X1] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(60,plain,
! [X1,X2,X3] :
( ( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_semilatt_str(X1)
& element(X2,the_carrier(X1))
& element(X3,the_carrier(X1)) )
=> meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(62,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& join_semilatt_str(X1) )
=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> ( below(X1,X2,X3)
<=> join(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[25,theory(equality)]) ).
fof(68,plain,
! [X1] :
( ( ~ empty_carrier(X1)
& latt_str(X1) )
=> ( meet_absorbing(X1)
<=> ! [X2] :
( element(X2,the_carrier(X1))
=> ! [X3] :
( element(X3,the_carrier(X1))
=> join(X1,meet(X1,X2,X3),X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[50,theory(equality)]) ).
fof(103,plain,
! [X1] :
( ~ latt_str(X1)
| ( meet_semilatt_str(X1)
& join_semilatt_str(X1) ) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(104,plain,
! [X2] :
( ~ latt_str(X2)
| ( meet_semilatt_str(X2)
& join_semilatt_str(X2) ) ),
inference(variable_rename,[status(thm)],[103]) ).
fof(105,plain,
! [X2] :
( ( meet_semilatt_str(X2)
| ~ latt_str(X2) )
& ( join_semilatt_str(X2)
| ~ latt_str(X2) ) ),
inference(distribute,[status(thm)],[104]) ).
cnf(106,plain,
( join_semilatt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(107,plain,
( meet_semilatt_str(X1)
| ~ latt_str(X1) ),
inference(split_conjunct,[status(thm)],[105]) ).
fof(113,plain,
! [X1,X2,X3] :
( empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| meet_commut(X1,X2,X3) = meet(X1,X2,X3) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(114,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| meet_commut(X4,X5,X6) = meet(X4,X5,X6) ),
inference(variable_rename,[status(thm)],[113]) ).
cnf(115,plain,
( meet_commut(X1,X2,X3) = meet(X1,X2,X3)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(116,plain,
! [X1,X2,X3] :
( empty_carrier(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| element(meet(X1,X2,X3),the_carrier(X1)) ),
inference(fof_nnf,[status(thm)],[56]) ).
fof(117,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| element(meet(X4,X5,X6),the_carrier(X4)) ),
inference(variable_rename,[status(thm)],[116]) ).
cnf(118,plain,
( element(meet(X1,X2,X3),the_carrier(X1))
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(split_conjunct,[status(thm)],[117]) ).
fof(130,negated_conjecture,
? [X1] :
( ~ empty_carrier(X1)
& meet_commutative(X1)
& meet_absorbing(X1)
& latt_str(X1)
& ? [X2] :
( element(X2,the_carrier(X1))
& ? [X3] :
( element(X3,the_carrier(X1))
& ~ below(X1,meet_commut(X1,X2,X3),X2) ) ) ),
inference(fof_nnf,[status(thm)],[59]) ).
fof(131,negated_conjecture,
? [X4] :
( ~ empty_carrier(X4)
& meet_commutative(X4)
& meet_absorbing(X4)
& latt_str(X4)
& ? [X5] :
( element(X5,the_carrier(X4))
& ? [X6] :
( element(X6,the_carrier(X4))
& ~ below(X4,meet_commut(X4,X5,X6),X5) ) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,negated_conjecture,
( ~ empty_carrier(esk2_0)
& meet_commutative(esk2_0)
& meet_absorbing(esk2_0)
& latt_str(esk2_0)
& element(esk3_0,the_carrier(esk2_0))
& element(esk4_0,the_carrier(esk2_0))
& ~ below(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) ),
inference(skolemize,[status(esa)],[131]) ).
cnf(133,negated_conjecture,
~ below(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(134,negated_conjecture,
element(esk4_0,the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(135,negated_conjecture,
element(esk3_0,the_carrier(esk2_0)),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(136,negated_conjecture,
latt_str(esk2_0),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(137,negated_conjecture,
meet_absorbing(esk2_0),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(138,negated_conjecture,
meet_commutative(esk2_0),
inference(split_conjunct,[status(thm)],[132]) ).
cnf(139,negated_conjecture,
~ empty_carrier(esk2_0),
inference(split_conjunct,[status(thm)],[132]) ).
fof(144,plain,
! [X1,X2,X3] :
( empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ meet_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2) ),
inference(fof_nnf,[status(thm)],[60]) ).
fof(145,plain,
! [X4,X5,X6] :
( empty_carrier(X4)
| ~ meet_commutative(X4)
| ~ meet_semilatt_str(X4)
| ~ element(X5,the_carrier(X4))
| ~ element(X6,the_carrier(X4))
| meet_commut(X4,X5,X6) = meet_commut(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[144]) ).
cnf(146,plain,
( meet_commut(X1,X2,X3) = meet_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1)
| ~ meet_commutative(X1) ),
inference(split_conjunct,[status(thm)],[145]) ).
fof(153,plain,
! [X1] :
( empty_carrier(X1)
| ~ join_semilatt_str(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| ( ( ~ below(X1,X2,X3)
| join(X1,X2,X3) = X3 )
& ( join(X1,X2,X3) != X3
| below(X1,X2,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(154,plain,
! [X4] :
( empty_carrier(X4)
| ~ join_semilatt_str(X4)
| ! [X5] :
( ~ element(X5,the_carrier(X4))
| ! [X6] :
( ~ element(X6,the_carrier(X4))
| ( ( ~ below(X4,X5,X6)
| join(X4,X5,X6) = X6 )
& ( join(X4,X5,X6) != X6
| below(X4,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,plain,
! [X4,X5,X6] :
( ~ element(X6,the_carrier(X4))
| ( ( ~ below(X4,X5,X6)
| join(X4,X5,X6) = X6 )
& ( join(X4,X5,X6) != X6
| below(X4,X5,X6) ) )
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ join_semilatt_str(X4) ),
inference(shift_quantors,[status(thm)],[154]) ).
fof(156,plain,
! [X4,X5,X6] :
( ( ~ below(X4,X5,X6)
| join(X4,X5,X6) = X6
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ join_semilatt_str(X4) )
& ( join(X4,X5,X6) != X6
| below(X4,X5,X6)
| ~ element(X6,the_carrier(X4))
| ~ element(X5,the_carrier(X4))
| empty_carrier(X4)
| ~ join_semilatt_str(X4) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(157,plain,
( empty_carrier(X1)
| below(X1,X2,X3)
| ~ join_semilatt_str(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1))
| join(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(229,plain,
! [X1] :
( empty_carrier(X1)
| ~ latt_str(X1)
| ( ( ~ meet_absorbing(X1)
| ! [X2] :
( ~ element(X2,the_carrier(X1))
| ! [X3] :
( ~ element(X3,the_carrier(X1))
| join(X1,meet(X1,X2,X3),X3) = X3 ) ) )
& ( ? [X2] :
( element(X2,the_carrier(X1))
& ? [X3] :
( element(X3,the_carrier(X1))
& join(X1,meet(X1,X2,X3),X3) != X3 ) )
| meet_absorbing(X1) ) ) ),
inference(fof_nnf,[status(thm)],[68]) ).
fof(230,plain,
! [X4] :
( empty_carrier(X4)
| ~ latt_str(X4)
| ( ( ~ meet_absorbing(X4)
| ! [X5] :
( ~ element(X5,the_carrier(X4))
| ! [X6] :
( ~ element(X6,the_carrier(X4))
| join(X4,meet(X4,X5,X6),X6) = X6 ) ) )
& ( ? [X7] :
( element(X7,the_carrier(X4))
& ? [X8] :
( element(X8,the_carrier(X4))
& join(X4,meet(X4,X7,X8),X8) != X8 ) )
| meet_absorbing(X4) ) ) ),
inference(variable_rename,[status(thm)],[229]) ).
fof(231,plain,
! [X4] :
( empty_carrier(X4)
| ~ latt_str(X4)
| ( ( ~ meet_absorbing(X4)
| ! [X5] :
( ~ element(X5,the_carrier(X4))
| ! [X6] :
( ~ element(X6,the_carrier(X4))
| join(X4,meet(X4,X5,X6),X6) = X6 ) ) )
& ( ( element(esk13_1(X4),the_carrier(X4))
& element(esk14_1(X4),the_carrier(X4))
& join(X4,meet(X4,esk13_1(X4),esk14_1(X4)),esk14_1(X4)) != esk14_1(X4) )
| meet_absorbing(X4) ) ) ),
inference(skolemize,[status(esa)],[230]) ).
fof(232,plain,
! [X4,X5,X6] :
( ( ( ~ element(X6,the_carrier(X4))
| join(X4,meet(X4,X5,X6),X6) = X6
| ~ element(X5,the_carrier(X4))
| ~ meet_absorbing(X4) )
& ( ( element(esk13_1(X4),the_carrier(X4))
& element(esk14_1(X4),the_carrier(X4))
& join(X4,meet(X4,esk13_1(X4),esk14_1(X4)),esk14_1(X4)) != esk14_1(X4) )
| meet_absorbing(X4) ) )
| empty_carrier(X4)
| ~ latt_str(X4) ),
inference(shift_quantors,[status(thm)],[231]) ).
fof(233,plain,
! [X4,X5,X6] :
( ( ~ element(X6,the_carrier(X4))
| join(X4,meet(X4,X5,X6),X6) = X6
| ~ element(X5,the_carrier(X4))
| ~ meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( element(esk13_1(X4),the_carrier(X4))
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( element(esk14_1(X4),the_carrier(X4))
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) )
& ( join(X4,meet(X4,esk13_1(X4),esk14_1(X4)),esk14_1(X4)) != esk14_1(X4)
| meet_absorbing(X4)
| empty_carrier(X4)
| ~ latt_str(X4) ) ),
inference(distribute,[status(thm)],[232]) ).
cnf(237,plain,
( empty_carrier(X1)
| join(X1,meet(X1,X2,X3),X3) = X3
| ~ latt_str(X1)
| ~ meet_absorbing(X1)
| ~ element(X2,the_carrier(X1))
| ~ element(X3,the_carrier(X1)) ),
inference(split_conjunct,[status(thm)],[233]) ).
cnf(238,negated_conjecture,
meet_semilatt_str(esk2_0),
inference(spm,[status(thm)],[107,136,theory(equality)]) ).
cnf(240,negated_conjecture,
join_semilatt_str(esk2_0),
inference(spm,[status(thm)],[106,136,theory(equality)]) ).
cnf(267,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0))
| ~ join_semilatt_str(esk2_0) ),
inference(spm,[status(thm)],[133,157,theory(equality)]) ).
cnf(269,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| $false
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0))
| ~ join_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[267,135,theory(equality)]) ).
cnf(270,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0))
| ~ join_semilatt_str(esk2_0) ),
inference(cn,[status(thm)],[269,theory(equality)]) ).
cnf(271,negated_conjecture,
( join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0))
| ~ join_semilatt_str(esk2_0) ),
inference(sr,[status(thm)],[270,139,theory(equality)]) ).
cnf(274,plain,
( meet(X1,X2,X3) = meet_commut(X1,X3,X2)
| empty_carrier(X1)
| ~ meet_commutative(X1)
| ~ element(X3,the_carrier(X1))
| ~ element(X2,the_carrier(X1))
| ~ meet_semilatt_str(X1) ),
inference(spm,[status(thm)],[146,115,theory(equality)]) ).
cnf(355,negated_conjecture,
( join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0))
| $false ),
inference(rw,[status(thm)],[271,240,theory(equality)]) ).
cnf(356,negated_conjecture,
( join(esk2_0,meet_commut(esk2_0,esk3_0,esk4_0),esk3_0) != esk3_0
| ~ element(meet_commut(esk2_0,esk3_0,esk4_0),the_carrier(esk2_0)) ),
inference(cn,[status(thm)],[355,theory(equality)]) ).
cnf(391,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| ~ meet_commutative(esk2_0)
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0))
| ~ meet_semilatt_str(esk2_0) ),
inference(spm,[status(thm)],[356,274,theory(equality)]) ).
cnf(398,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0))
| ~ meet_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[391,138,theory(equality)]) ).
cnf(399,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| ~ element(esk4_0,the_carrier(esk2_0))
| ~ meet_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[398,135,theory(equality)]) ).
cnf(400,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| $false
| ~ meet_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[399,134,theory(equality)]) ).
cnf(401,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[400,238,theory(equality)]) ).
cnf(402,negated_conjecture,
( empty_carrier(esk2_0)
| join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0)) ),
inference(cn,[status(thm)],[401,theory(equality)]) ).
cnf(403,negated_conjecture,
( join(esk2_0,meet(esk2_0,esk4_0,esk3_0),esk3_0) != esk3_0
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0)) ),
inference(sr,[status(thm)],[402,139,theory(equality)]) ).
cnf(823,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| ~ meet_absorbing(esk2_0)
| ~ latt_str(esk2_0)
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0)) ),
inference(spm,[status(thm)],[403,237,theory(equality)]) ).
cnf(826,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| ~ latt_str(esk2_0)
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[823,137,theory(equality)]) ).
cnf(827,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[826,136,theory(equality)]) ).
cnf(828,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| $false
| ~ element(esk4_0,the_carrier(esk2_0)) ),
inference(rw,[status(thm)],[827,135,theory(equality)]) ).
cnf(829,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0))
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[828,134,theory(equality)]) ).
cnf(830,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0)) ),
inference(cn,[status(thm)],[829,theory(equality)]) ).
cnf(831,negated_conjecture,
~ element(meet(esk2_0,esk4_0,esk3_0),the_carrier(esk2_0)),
inference(sr,[status(thm)],[830,139,theory(equality)]) ).
cnf(844,negated_conjecture,
( empty_carrier(esk2_0)
| ~ element(esk3_0,the_carrier(esk2_0))
| ~ element(esk4_0,the_carrier(esk2_0))
| ~ meet_semilatt_str(esk2_0) ),
inference(spm,[status(thm)],[831,118,theory(equality)]) ).
cnf(847,negated_conjecture,
( empty_carrier(esk2_0)
| $false
| ~ element(esk4_0,the_carrier(esk2_0))
| ~ meet_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[844,135,theory(equality)]) ).
cnf(848,negated_conjecture,
( empty_carrier(esk2_0)
| $false
| $false
| ~ meet_semilatt_str(esk2_0) ),
inference(rw,[status(thm)],[847,134,theory(equality)]) ).
cnf(849,negated_conjecture,
( empty_carrier(esk2_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[848,238,theory(equality)]) ).
cnf(850,negated_conjecture,
empty_carrier(esk2_0),
inference(cn,[status(thm)],[849,theory(equality)]) ).
cnf(851,negated_conjecture,
$false,
inference(sr,[status(thm)],[850,139,theory(equality)]) ).
cnf(852,negated_conjecture,
$false,
851,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/SEU/SEU304+1.p
% --creating new selector for []
% -running prover on /tmp/tmp8onyWJ/sel_SEU304+1.p_1 with time limit 29
% -prover status Theorem
% Problem SEU304+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/SEU/SEU304+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/SEU/SEU304+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
%
%------------------------------------------------------------------------------