%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT303+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 14:18:26 EST 2010
% Result : Theorem 0.96s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 14
% Syntax : Number of formulae : 120 ( 10 unt; 0 def)
% Number of atoms : 595 ( 11 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 731 ( 256 ~; 310 |; 121 &)
% ( 6 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 137 ( 0 sgn 96 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',dt_l3_lattices) ).
fof(3,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',dt_l1_lattices) ).
fof(4,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/tmpyN5aPQ/sel_LAT303+1.p_1',redefinition_m1_filter_2) ).
fof(5,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',dt_k5_filter_2) ).
fof(11,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',t14_filter_0) ).
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/tmpyN5aPQ/sel_LAT303+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/tmpyN5aPQ/sel_LAT303+1.p_1',t21_filter_2) ).
fof(45,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',d4_filter_2) ).
fof(46,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',fc1_struct_0) ).
fof(59,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',t63_lattice2) ).
fof(60,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',fc1_lattice2) ).
fof(61,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',dt_k1_lattice2) ).
fof(76,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',t27_filter_2) ).
fof(86,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/tmp/tmpyN5aPQ/sel_LAT303+1.p_1',redefinition_k6_domain_1) ).
fof(92,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
inference(assume_negation,[status(cth)],[76]) ).
fof(93,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)],[4,theory(equality)]) ).
fof(94,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(99,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v14_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(104,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(107,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(110,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[45,theory(equality)]) ).
fof(111,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(119,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)],[59,theory(equality)]) ).
fof(120,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)],[60,theory(equality)]) ).
fof(130,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
=> v13_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[92,theory(equality)]) ).
fof(134,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)],[86,theory(equality)]) ).
fof(138,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(139,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[138]) ).
fof(140,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[139]) ).
cnf(142,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[140]) ).
fof(145,plain,
! [X1] :
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(146,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[145]) ).
cnf(147,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[146]) ).
fof(148,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)],[93]) ).
fof(149,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)],[148]) ).
fof(150,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)],[149]) ).
fof(151,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)],[150]) ).
cnf(153,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[151]) ).
fof(154,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(155,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| m1_subset_1(k5_filter_2(X3,X4),u1_struct_0(k1_lattice2(X3))) ),
inference(variable_rename,[status(thm)],[154]) ).
cnf(156,plain,
( m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(179,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
| v14_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(180,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X3),X4),X3)
| v14_lattices(X3) ) ),
inference(variable_rename,[status(thm)],[179]) ).
fof(181,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X3),X4),X3)
| v14_lattices(X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[180]) ).
cnf(182,plain,
( v3_struct_0(X1)
| v14_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(k6_domain_1(u1_struct_0(X1),X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[181]) ).
fof(257,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)],[104]) ).
fof(258,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)],[257]) ).
fof(259,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)],[258]) ).
cnf(260,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[259]) ).
fof(292,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)],[107]) ).
fof(293,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)],[292]) ).
fof(294,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)],[293]) ).
fof(295,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)],[294]) ).
cnf(297,plain,
( v3_struct_0(X1)
| m1_filter_2(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(323,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| k5_filter_2(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[110]) ).
fof(324,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| k5_filter_2(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[323]) ).
fof(325,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| k5_filter_2(X3,X4) = X4
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[324]) ).
cnf(326,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[325]) ).
fof(327,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[111]) ).
fof(328,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[327]) ).
cnf(329,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[328]) ).
fof(378,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)],[119]) ).
fof(379,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)],[378]) ).
fof(380,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)],[379]) ).
cnf(381,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[380]) ).
fof(383,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)],[120]) ).
fof(384,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)],[383]) ).
fof(385,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)],[384]) ).
cnf(387,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[385]) ).
fof(388,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(389,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[388]) ).
fof(390,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[389]) ).
cnf(391,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[390]) ).
fof(467,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& m2_filter_2(k6_domain_1(u1_struct_0(X1),X2),X1)
& ~ v13_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[130]) ).
fof(468,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3)
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X3))
& m2_filter_2(k6_domain_1(u1_struct_0(X3),X4),X3)
& ~ v13_lattices(X3) ) ),
inference(variable_rename,[status(thm)],[467]) ).
fof(469,negated_conjecture,
( ~ v3_struct_0(esk22_0)
& v10_lattices(esk22_0)
& l3_lattices(esk22_0)
& m1_subset_1(esk23_0,u1_struct_0(esk22_0))
& m2_filter_2(k6_domain_1(u1_struct_0(esk22_0),esk23_0),esk22_0)
& ~ v13_lattices(esk22_0) ),
inference(skolemize,[status(esa)],[468]) ).
cnf(470,negated_conjecture,
~ v13_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[469]) ).
cnf(471,negated_conjecture,
m2_filter_2(k6_domain_1(u1_struct_0(esk22_0),esk23_0),esk22_0),
inference(split_conjunct,[status(thm)],[469]) ).
cnf(472,negated_conjecture,
m1_subset_1(esk23_0,u1_struct_0(esk22_0)),
inference(split_conjunct,[status(thm)],[469]) ).
cnf(473,negated_conjecture,
l3_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[469]) ).
cnf(474,negated_conjecture,
v10_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[469]) ).
cnf(475,negated_conjecture,
~ v3_struct_0(esk22_0),
inference(split_conjunct,[status(thm)],[469]) ).
fof(506,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)],[134]) ).
fof(507,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)],[506]) ).
cnf(508,plain,
( k6_domain_1(X1,X2) = k1_tarski(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[507]) ).
cnf(547,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[329,147,theory(equality)]) ).
cnf(585,negated_conjecture,
( m2_filter_2(k1_tarski(esk23_0),esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(esk22_0)) ),
inference(spm,[status(thm)],[471,508,theory(equality)]) ).
cnf(586,negated_conjecture,
( m2_filter_2(k1_tarski(esk23_0),esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| $false ),
inference(rw,[status(thm)],[585,472,theory(equality)]) ).
cnf(587,negated_conjecture,
( m2_filter_2(k1_tarski(esk23_0),esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0)) ),
inference(cn,[status(thm)],[586,theory(equality)]) ).
cnf(614,plain,
( m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[156,326,theory(equality)]) ).
cnf(617,plain,
( v14_lattices(X1)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k1_tarski(X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[182,508,theory(equality)]) ).
cnf(691,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[547,142,theory(equality)]) ).
cnf(1072,plain,
( v14_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_filter_0(k1_tarski(X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[617,691]) ).
cnf(1073,plain,
( v14_lattices(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_2(k1_tarski(X2),X1) ),
inference(spm,[status(thm)],[1072,153,theory(equality)]) ).
cnf(1172,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m2_filter_2(k1_tarski(X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[1073,297,theory(equality)]) ).
cnf(8322,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(k1_tarski(X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[1172,391]) ).
cnf(8323,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(k1_tarski(X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[8322,260]) ).
cnf(8324,plain,
( v14_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(k1_tarski(X2),X1)
| ~ m1_subset_1(X2,u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[8323,387]) ).
cnf(8325,negated_conjecture,
( v14_lattices(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0)))
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[8324,587,theory(equality)]) ).
cnf(8326,negated_conjecture,
( v14_lattices(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0)))
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[8325,474,theory(equality)]) ).
cnf(8327,negated_conjecture,
( v14_lattices(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0)))
| $false
| $false ),
inference(rw,[status(thm)],[8326,473,theory(equality)]) ).
cnf(8328,negated_conjecture,
( v14_lattices(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(cn,[status(thm)],[8327,theory(equality)]) ).
cnf(8329,negated_conjecture,
( v14_lattices(k1_lattice2(esk22_0))
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(sr,[status(thm)],[8328,475,theory(equality)]) ).
cnf(8330,negated_conjecture,
( v13_lattices(esk22_0)
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0)
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(spm,[status(thm)],[381,8329,theory(equality)]) ).
cnf(8331,negated_conjecture,
( v13_lattices(esk22_0)
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| $false
| ~ l3_lattices(esk22_0)
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(rw,[status(thm)],[8330,474,theory(equality)]) ).
cnf(8332,negated_conjecture,
( v13_lattices(esk22_0)
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| $false
| $false
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(rw,[status(thm)],[8331,473,theory(equality)]) ).
cnf(8333,negated_conjecture,
( v13_lattices(esk22_0)
| v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(cn,[status(thm)],[8332,theory(equality)]) ).
cnf(8334,negated_conjecture,
( v3_struct_0(esk22_0)
| v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(sr,[status(thm)],[8333,470,theory(equality)]) ).
cnf(8335,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| ~ m1_subset_1(esk23_0,u1_struct_0(k1_lattice2(esk22_0))) ),
inference(sr,[status(thm)],[8334,475,theory(equality)]) ).
cnf(8336,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| v3_struct_0(esk22_0)
| ~ m1_subset_1(esk23_0,u1_struct_0(esk22_0))
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[8335,614,theory(equality)]) ).
cnf(8337,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| v3_struct_0(esk22_0)
| $false
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[8336,472,theory(equality)]) ).
cnf(8338,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| v3_struct_0(esk22_0)
| $false
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[8337,474,theory(equality)]) ).
cnf(8339,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| v3_struct_0(esk22_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[8338,473,theory(equality)]) ).
cnf(8340,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk22_0))
| v3_struct_0(esk22_0) ),
inference(cn,[status(thm)],[8339,theory(equality)]) ).
cnf(8341,negated_conjecture,
v1_xboole_0(u1_struct_0(esk22_0)),
inference(sr,[status(thm)],[8340,475,theory(equality)]) ).
cnf(8344,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[691,8341,theory(equality)]) ).
cnf(8399,negated_conjecture,
( v3_struct_0(esk22_0)
| $false ),
inference(rw,[status(thm)],[8344,473,theory(equality)]) ).
cnf(8400,negated_conjecture,
v3_struct_0(esk22_0),
inference(cn,[status(thm)],[8399,theory(equality)]) ).
cnf(8401,negated_conjecture,
$false,
inference(sr,[status(thm)],[8400,475,theory(equality)]) ).
cnf(8402,negated_conjecture,
$false,
8401,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT303+1.p
% --creating new selector for []
% -running prover on /tmp/tmpyN5aPQ/sel_LAT303+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT303+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT303+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT303+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
%
%------------------------------------------------------------------------------