TSTP Solution File: LAT302+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT302+1 : TPTP v5.0.0. Released v3.4.0.
% 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 : Sat Dec 25 14:17:37 EST 2010
% Result : Theorem 0.57s
% Output : CNFRefutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 15
% Syntax : Number of formulae : 138 ( 9 unt; 0 def)
% Number of atoms : 700 ( 10 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 878 ( 316 ~; 399 |; 124 &)
% ( 6 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 114 ( 0 sgn 81 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',dt_l3_lattices) ).
fof(3,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',dt_l1_lattices) ).
fof(4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',dt_k6_lattices) ).
fof(5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',redefinition_m1_filter_2) ).
fof(24,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',dt_k5_lattices) ).
fof(28,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',t26_filter_2) ).
fof(30,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',fc6_lattice2) ).
fof(37,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',t21_filter_2) ).
fof(41,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',t13_filter_0) ).
fof(46,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',t78_lattice2) ).
fof(47,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',fc1_struct_0) ).
fof(60,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',t63_lattice2) ).
fof(61,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',fc1_lattice2) ).
fof(62,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',dt_k1_lattice2) ).
fof(87,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/tmp/tmplXvwuo/sel_LAT302+1.p_1',redefinition_k6_domain_1) ).
fof(93,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
inference(assume_negation,[status(cth)],[28]) ).
fof(94,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(95,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(103,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(104,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ) ),
inference(fof_simplification,[status(thm)],[93,theory(equality)]) ).
fof(105,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[30,theory(equality)]) ).
fof(108,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
<=> m1_filter_2(X2,k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[37,theory(equality)]) ).
fof(111,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ) ),
inference(fof_simplification,[status(thm)],[41,theory(equality)]) ).
fof(112,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(113,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(121,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[60,theory(equality)]) ).
fof(122,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[61,theory(equality)]) ).
fof(136,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[87,theory(equality)]) ).
fof(140,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(141,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[140]) ).
fof(142,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[141]) ).
cnf(143,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
cnf(144,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[142]) ).
fof(147,plain,
! [X1] :
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(148,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[147]) ).
cnf(149,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[148]) ).
fof(150,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(151,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l2_lattices(X2)
| m1_subset_1(k6_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[150]) ).
cnf(152,plain,
( m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[151]) ).
fof(153,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ( ~ m1_filter_2(X2,X1)
| m1_filter_0(X2,X1) )
& ( ~ m1_filter_0(X2,X1)
| m1_filter_2(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[95]) ).
fof(154,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,plain,
! [X3,X4] :
( ( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3) ) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[154]) ).
fof(156,plain,
! [X3,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(157,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(238,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(239,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_lattices(X2)
| m1_subset_1(k5_lattices(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[238]) ).
cnf(240,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[239]) ).
fof(253,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& v13_lattices(X1)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(X1),k5_lattices(X1)),X1) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(254,negated_conjecture,
? [X2] :
( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& v13_lattices(X2)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(X2),k5_lattices(X2)),X2) ),
inference(variable_rename,[status(thm)],[253]) ).
fof(255,negated_conjecture,
( ~ v3_struct_0(esk9_0)
& v10_lattices(esk9_0)
& l3_lattices(esk9_0)
& v13_lattices(esk9_0)
& ~ m2_filter_2(k6_domain_1(u1_struct_0(esk9_0),k5_lattices(esk9_0)),esk9_0) ),
inference(skolemize,[status(esa)],[254]) ).
cnf(256,negated_conjecture,
~ m2_filter_2(k6_domain_1(u1_struct_0(esk9_0),k5_lattices(esk9_0)),esk9_0),
inference(split_conjunct,[status(thm)],[255]) ).
cnf(257,negated_conjecture,
v13_lattices(esk9_0),
inference(split_conjunct,[status(thm)],[255]) ).
cnf(258,negated_conjecture,
l3_lattices(esk9_0),
inference(split_conjunct,[status(thm)],[255]) ).
cnf(259,negated_conjecture,
v10_lattices(esk9_0),
inference(split_conjunct,[status(thm)],[255]) ).
cnf(260,negated_conjecture,
~ v3_struct_0(esk9_0),
inference(split_conjunct,[status(thm)],[255]) ).
fof(262,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[105]) ).
fof(263,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2))
& v4_lattices(k1_lattice2(X2))
& v5_lattices(k1_lattice2(X2))
& v6_lattices(k1_lattice2(X2))
& v7_lattices(k1_lattice2(X2))
& v8_lattices(k1_lattice2(X2))
& v9_lattices(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[262]) ).
fof(264,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[263]) ).
cnf(265,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[264]) ).
fof(297,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ( ~ m2_filter_2(X2,X1)
| m1_filter_2(X2,k1_lattice2(X1)) )
& ( ~ m1_filter_2(X2,k1_lattice2(X1))
| m2_filter_2(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(298,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ( ~ m2_filter_2(X4,X3)
| m1_filter_2(X4,k1_lattice2(X3)) )
& ( ~ m1_filter_2(X4,k1_lattice2(X3))
| m2_filter_2(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[297]) ).
fof(299,plain,
! [X3,X4] :
( ( ( ~ m2_filter_2(X4,X3)
| m1_filter_2(X4,k1_lattice2(X3)) )
& ( ~ m1_filter_2(X4,k1_lattice2(X3))
| m2_filter_2(X4,X3) ) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[298]) ).
fof(300,plain,
! [X3,X4] :
( ( ~ m2_filter_2(X4,X3)
| m1_filter_2(X4,k1_lattice2(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_2(X4,k1_lattice2(X3))
| m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[299]) ).
cnf(301,plain,
( v3_struct_0(X1)
| m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[300]) ).
fof(314,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1) ),
inference(fof_nnf,[status(thm)],[111]) ).
fof(315,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v14_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_0(k6_domain_1(u1_struct_0(X2),k6_lattices(X2)),X2) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(316,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[315]) ).
fof(331,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_nnf,[status(thm)],[112]) ).
fof(332,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| k5_lattices(X2) = k6_lattices(k1_lattice2(X2)) ),
inference(variable_rename,[status(thm)],[331]) ).
cnf(333,plain,
( k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[332]) ).
fof(334,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[113]) ).
fof(335,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[334]) ).
cnf(336,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[335]) ).
fof(385,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ( ~ v13_lattices(X1)
| v14_lattices(k1_lattice2(X1)) )
& ( ~ v14_lattices(k1_lattice2(X1))
| v13_lattices(X1) ) ) ),
inference(fof_nnf,[status(thm)],[121]) ).
fof(386,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ( ~ v13_lattices(X2)
| v14_lattices(k1_lattice2(X2)) )
& ( ~ v14_lattices(k1_lattice2(X2))
| v13_lattices(X2) ) ) ),
inference(variable_rename,[status(thm)],[385]) ).
fof(387,plain,
! [X2] :
( ( ~ v13_lattices(X2)
| v14_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v14_lattices(k1_lattice2(X2))
| v13_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[386]) ).
cnf(388,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[387]) ).
cnf(389,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[387]) ).
fof(390,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[122]) ).
fof(391,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[390]) ).
fof(392,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[391]) ).
cnf(394,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[392]) ).
fof(395,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[62]) ).
fof(396,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[395]) ).
fof(397,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[396]) ).
cnf(398,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[397]) ).
fof(508,plain,
! [X1,X2] :
( v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1)
| k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_nnf,[status(thm)],[136]) ).
fof(509,plain,
! [X3,X4] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X4,X3)
| k6_domain_1(X3,X4) = k1_tarski(X4) ),
inference(variable_rename,[status(thm)],[508]) ).
cnf(510,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[509]) ).
cnf(549,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[336,149,theory(equality)]) ).
cnf(581,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l2_lattices(k1_lattice2(X1))
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[152,333,theory(equality)]) ).
cnf(590,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| ~ m2_filter_2(k1_tarski(k5_lattices(esk9_0)),esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0)) ),
inference(spm,[status(thm)],[256,510,theory(equality)]) ).
cnf(634,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(X1),k6_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1) ),
inference(spm,[status(thm)],[157,316,theory(equality)]) ).
cnf(692,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[549,144,theory(equality)]) ).
cnf(753,plain,
( m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l2_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[581,394]) ).
cnf(766,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[634,333,theory(equality)]) ).
cnf(1703,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[766,388]) ).
cnf(1704,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[1703,398]) ).
cnf(1705,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[1704,265]) ).
cnf(1706,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[1705,394]) ).
cnf(1708,plain,
( m2_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(X1)),k5_lattices(X1)),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[301,1706,theory(equality)]) ).
cnf(1731,plain,
( m2_filter_2(k1_tarski(k5_lattices(X1)),X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(k1_lattice2(X1)))
| ~ v14_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(k5_lattices(X1),u1_struct_0(k1_lattice2(X1))) ),
inference(spm,[status(thm)],[1708,510,theory(equality)]) ).
cnf(3740,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v3_struct_0(esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ v10_lattices(esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(k1_lattice2(esk9_0)))
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[590,1731,theory(equality)]) ).
cnf(3742,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v3_struct_0(esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| $false
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(k1_lattice2(esk9_0)))
| ~ l3_lattices(esk9_0) ),
inference(rw,[status(thm)],[3740,259,theory(equality)]) ).
cnf(3743,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v3_struct_0(esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| $false
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(k1_lattice2(esk9_0)))
| $false ),
inference(rw,[status(thm)],[3742,258,theory(equality)]) ).
cnf(3744,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v3_struct_0(esk9_0)
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(k1_lattice2(esk9_0))) ),
inference(cn,[status(thm)],[3743,theory(equality)]) ).
cnf(3745,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(k1_lattice2(esk9_0))) ),
inference(sr,[status(thm)],[3744,260,theory(equality)]) ).
cnf(3746,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ v13_lattices(esk9_0)
| ~ v10_lattices(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[3745,753,theory(equality)]) ).
cnf(3747,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| $false
| ~ v10_lattices(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l3_lattices(esk9_0) ),
inference(rw,[status(thm)],[3746,257,theory(equality)]) ).
cnf(3748,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| $false
| $false
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l3_lattices(esk9_0) ),
inference(rw,[status(thm)],[3747,259,theory(equality)]) ).
cnf(3749,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| $false
| $false
| ~ l2_lattices(k1_lattice2(esk9_0))
| $false ),
inference(rw,[status(thm)],[3748,258,theory(equality)]) ).
cnf(3750,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ l2_lattices(k1_lattice2(esk9_0)) ),
inference(cn,[status(thm)],[3749,theory(equality)]) ).
cnf(3751,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ m1_subset_1(k5_lattices(esk9_0),u1_struct_0(esk9_0))
| ~ l2_lattices(k1_lattice2(esk9_0)) ),
inference(sr,[status(thm)],[3750,260,theory(equality)]) ).
cnf(3752,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(spm,[status(thm)],[3751,240,theory(equality)]) ).
cnf(3753,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ v14_lattices(k1_lattice2(esk9_0))
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(sr,[status(thm)],[3752,260,theory(equality)]) ).
cnf(3758,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| ~ v13_lattices(esk9_0)
| ~ v10_lattices(esk9_0)
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[3753,389,theory(equality)]) ).
cnf(3759,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| $false
| ~ v10_lattices(esk9_0)
| ~ l3_lattices(esk9_0) ),
inference(rw,[status(thm)],[3758,257,theory(equality)]) ).
cnf(3760,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| $false
| $false
| ~ l3_lattices(esk9_0) ),
inference(rw,[status(thm)],[3759,259,theory(equality)]) ).
cnf(3761,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[3760,258,theory(equality)]) ).
cnf(3762,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(esk9_0)
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(cn,[status(thm)],[3761,theory(equality)]) ).
cnf(3763,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ l2_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(sr,[status(thm)],[3762,260,theory(equality)]) ).
cnf(3764,negated_conjecture,
( v1_xboole_0(u1_struct_0(k1_lattice2(esk9_0)))
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ l1_lattices(esk9_0)
| ~ l3_lattices(k1_lattice2(esk9_0)) ),
inference(spm,[status(thm)],[3763,143,theory(equality)]) ).
cnf(3767,negated_conjecture,
( v3_struct_0(k1_lattice2(esk9_0))
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ l3_lattices(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(spm,[status(thm)],[692,3764,theory(equality)]) ).
cnf(3772,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[3767,398,theory(equality)]) ).
cnf(3773,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0)
| $false ),
inference(rw,[status(thm)],[3772,258,theory(equality)]) ).
cnf(3774,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0))
| ~ l1_lattices(esk9_0) ),
inference(cn,[status(thm)],[3773,theory(equality)]) ).
cnf(3775,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0))
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[3774,144,theory(equality)]) ).
cnf(3776,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0))
| $false ),
inference(rw,[status(thm)],[3775,258,theory(equality)]) ).
cnf(3777,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk9_0))
| v3_struct_0(k1_lattice2(esk9_0)) ),
inference(cn,[status(thm)],[3776,theory(equality)]) ).
cnf(3778,negated_conjecture,
( v3_struct_0(esk9_0)
| v1_xboole_0(u1_struct_0(esk9_0))
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[394,3777,theory(equality)]) ).
cnf(3779,negated_conjecture,
( v3_struct_0(esk9_0)
| v1_xboole_0(u1_struct_0(esk9_0))
| $false ),
inference(rw,[status(thm)],[3778,258,theory(equality)]) ).
cnf(3780,negated_conjecture,
( v3_struct_0(esk9_0)
| v1_xboole_0(u1_struct_0(esk9_0)) ),
inference(cn,[status(thm)],[3779,theory(equality)]) ).
cnf(3781,negated_conjecture,
v1_xboole_0(u1_struct_0(esk9_0)),
inference(sr,[status(thm)],[3780,260,theory(equality)]) ).
cnf(3784,negated_conjecture,
( v3_struct_0(esk9_0)
| ~ l3_lattices(esk9_0) ),
inference(spm,[status(thm)],[692,3781,theory(equality)]) ).
cnf(3795,negated_conjecture,
( v3_struct_0(esk9_0)
| $false ),
inference(rw,[status(thm)],[3784,258,theory(equality)]) ).
cnf(3796,negated_conjecture,
v3_struct_0(esk9_0),
inference(cn,[status(thm)],[3795,theory(equality)]) ).
cnf(3797,negated_conjecture,
$false,
inference(sr,[status(thm)],[3796,260,theory(equality)]) ).
cnf(3798,negated_conjecture,
$false,
3797,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT302+1.p
% --creating new selector for []
% -running prover on /tmp/tmplXvwuo/sel_LAT302+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT302+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT302+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT302+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
%
%------------------------------------------------------------------------------