TSTP Solution File: LAT304+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT304+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art01.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 14:21:29 EST 2010
% Result : Theorem 2.66s
% Output : CNFRefutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 14
% Syntax : Number of formulae : 112 ( 7 unt; 0 def)
% Number of atoms : 547 ( 55 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 706 ( 271 ~; 281 |; 127 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-3 aty)
% Number of variables : 184 ( 20 sgn 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',dt_u1_lattices) ).
fof(3,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',dt_u2_lattices) ).
fof(8,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',redefinition_m2_relset_1) ).
fof(9,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',d2_lattice2) ).
fof(13,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',dt_l3_lattices) ).
fof(15,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',free_g3_lattices) ).
fof(16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',t15_filter_0) ).
fof(18,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',t28_filter_2) ).
fof(20,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/tmpgUwU2F/sel_LAT304+1.p_1',redefinition_m1_filter_2) ).
fof(32,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/tmpgUwU2F/sel_LAT304+1.p_1',t21_filter_2) ).
fof(50,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',abstractness_v3_lattices) ).
fof(59,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',fc1_lattice2) ).
fof(61,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpgUwU2F/sel_LAT304+1.p_1',dt_k1_lattice2) ).
fof(65,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/tmpgUwU2F/sel_LAT304+1.p_1',fc6_lattice2) ).
fof(78,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(assume_negation,[status(cth)],[18]) ).
fof(83,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(84,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[78,theory(equality)]) ).
fof(86,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)],[20,theory(equality)]) ).
fof(91,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)],[32,theory(equality)]) ).
fof(102,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)],[59,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)],[65,theory(equality)]) ).
fof(112,plain,
! [X1] :
( ~ l1_lattices(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(113,plain,
! [X2] :
( ~ l1_lattices(X2)
| ( v1_funct_1(u1_lattices(X2))
& v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
& m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)) ) ),
inference(variable_rename,[status(thm)],[112]) ).
fof(114,plain,
! [X2] :
( ( v1_funct_1(u1_lattices(X2))
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) )
& ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[113]) ).
cnf(115,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(116,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
cnf(117,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[114]) ).
fof(118,plain,
! [X1] :
( ~ l2_lattices(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(119,plain,
! [X2] :
( ~ l2_lattices(X2)
| ( v1_funct_1(u2_lattices(X2))
& v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
& m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)) ) ),
inference(variable_rename,[status(thm)],[118]) ).
fof(120,plain,
! [X2] :
( ( v1_funct_1(u2_lattices(X2))
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) )
& ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[119]) ).
cnf(121,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(122,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[120]) ).
cnf(123,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[120]) ).
fof(138,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(139,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[138]) ).
cnf(141,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[139]) ).
fof(142,plain,
! [X1] :
( ~ l3_lattices(X1)
| k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(143,plain,
! [X2] :
( ~ l3_lattices(X2)
| k1_lattice2(X2) = g3_lattices(u1_struct_0(X2),u1_lattices(X2),u2_lattices(X2)) ),
inference(variable_rename,[status(thm)],[142]) ).
cnf(144,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(154,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(155,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[154]) ).
fof(156,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[155]) ).
cnf(157,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[156]) ).
cnf(158,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[156]) ).
fof(161,plain,
! [X1,X2,X3] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) != g3_lattices(X4,X5,X6)
| ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(162,plain,
! [X7,X8,X9] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| ! [X10,X11,X12] :
( g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ( X7 = X10
& X8 = X11
& X9 = X12 ) ) ),
inference(variable_rename,[status(thm)],[161]) ).
fof(163,plain,
! [X7,X8,X9,X10,X11,X12] :
( g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ( X7 = X10
& X8 = X11
& X9 = X12 )
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ),
inference(shift_quantors,[status(thm)],[162]) ).
fof(164,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X8 = X11
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X9 = X12
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
inference(distribute,[status(thm)],[163]) ).
cnf(167,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[164]) ).
fof(168,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| m1_filter_0(u1_struct_0(X1),X1) ),
inference(fof_nnf,[status(thm)],[83]) ).
fof(169,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| m1_filter_0(u1_struct_0(X2),X2) ),
inference(variable_rename,[status(thm)],[168]) ).
cnf(170,plain,
( m1_filter_0(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[169]) ).
fof(173,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ m2_filter_2(u1_struct_0(X1),X1) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(174,negated_conjecture,
? [X2] :
( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& ~ m2_filter_2(u1_struct_0(X2),X2) ),
inference(variable_rename,[status(thm)],[173]) ).
fof(175,negated_conjecture,
( ~ v3_struct_0(esk6_0)
& v10_lattices(esk6_0)
& l3_lattices(esk6_0)
& ~ m2_filter_2(u1_struct_0(esk6_0),esk6_0) ),
inference(skolemize,[status(esa)],[174]) ).
cnf(176,negated_conjecture,
~ m2_filter_2(u1_struct_0(esk6_0),esk6_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(177,negated_conjecture,
l3_lattices(esk6_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(178,negated_conjecture,
v10_lattices(esk6_0),
inference(split_conjunct,[status(thm)],[175]) ).
cnf(179,negated_conjecture,
~ v3_struct_0(esk6_0),
inference(split_conjunct,[status(thm)],[175]) ).
fof(188,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)],[86]) ).
fof(189,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)],[188]) ).
fof(190,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)],[189]) ).
fof(191,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)],[190]) ).
cnf(192,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)],[191]) ).
fof(236,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)],[91]) ).
fof(237,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)],[236]) ).
fof(238,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)],[237]) ).
fof(239,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)],[238]) ).
cnf(240,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)],[239]) ).
fof(309,plain,
! [X1] :
( ~ l3_lattices(X1)
| ~ v3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(310,plain,
! [X2] :
( ~ l3_lattices(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[309]) ).
cnf(311,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[310]) ).
fof(350,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)],[102]) ).
fof(351,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)],[350]) ).
fof(352,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)],[351]) ).
cnf(354,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[352]) ).
fof(358,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(359,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[358]) ).
fof(360,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[359]) ).
cnf(361,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[360]) ).
cnf(362,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[360]) ).
fof(374,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(375,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)],[374]) ).
fof(376,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)],[375]) ).
cnf(377,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[376]) ).
cnf(480,plain,
( m1_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[192,170,theory(equality)]) ).
cnf(509,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[141,115,theory(equality)]) ).
cnf(510,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[141,121,theory(equality)]) ).
cnf(636,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[240,480,theory(equality)]) ).
cnf(782,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[636,361]) ).
cnf(783,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[782,377]) ).
cnf(784,plain,
( m2_filter_2(u1_struct_0(k1_lattice2(X1)),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[783,354]) ).
cnf(842,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u1_lattices(X1))
| ~ v1_funct_1(X3)
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[167,509,theory(equality)]) ).
cnf(2275,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[842,117]) ).
cnf(2276,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[2275,116]) ).
cnf(2281,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u2_lattices(X1))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[2276,510,theory(equality)]) ).
cnf(22983,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[2281,123]) ).
cnf(22984,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[22983,122]) ).
cnf(22986,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[22984,144,theory(equality)]) ).
cnf(22996,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l3_lattices(X1)
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[22986,158]) ).
cnf(22997,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[22996,157]) ).
cnf(22999,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| k1_lattice2(X1) != X2
| ~ l3_lattices(X1)
| ~ v3_lattices(X2)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[22997,311,theory(equality)]) ).
cnf(23003,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| ~ v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(er,[status(thm)],[22999,theory(equality)]) ).
cnf(23004,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[23003,361]) ).
cnf(23005,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[23004,362]) ).
cnf(23037,plain,
( m2_filter_2(u1_struct_0(X1),X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[784,23005,theory(equality)]) ).
cnf(23465,negated_conjecture,
( v3_struct_0(esk6_0)
| ~ v10_lattices(esk6_0)
| ~ l3_lattices(esk6_0) ),
inference(spm,[status(thm)],[176,23037,theory(equality)]) ).
cnf(23470,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| ~ l3_lattices(esk6_0) ),
inference(rw,[status(thm)],[23465,178,theory(equality)]) ).
cnf(23471,negated_conjecture,
( v3_struct_0(esk6_0)
| $false
| $false ),
inference(rw,[status(thm)],[23470,177,theory(equality)]) ).
cnf(23472,negated_conjecture,
v3_struct_0(esk6_0),
inference(cn,[status(thm)],[23471,theory(equality)]) ).
cnf(23473,negated_conjecture,
$false,
inference(sr,[status(thm)],[23472,179,theory(equality)]) ).
cnf(23474,negated_conjecture,
$false,
23473,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT304+1.p
% --creating new selector for []
% -running prover on /tmp/tmpgUwU2F/sel_LAT304+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT304+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT304+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT304+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
%
%------------------------------------------------------------------------------