TSTP Solution File: LAT311+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT311+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 14:35:16 EST 2010
% Result : Theorem 84.21s
% Output : CNFRefutation 84.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 15
% Syntax : Number of formulae : 142 ( 13 unt; 0 def)
% Number of atoms : 820 ( 80 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 1046 ( 368 ~; 463 |; 163 &)
% ( 0 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 3 con; 0-2 aty)
% Number of variables : 219 ( 1 sgn 135 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(4,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t40_filter_2) ).
fof(6,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/tmpQYeh8A/sel_LAT311+1.p_2',dt_k5_filter_2) ).
fof(18,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t30_filter_2) ).
fof(22,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3)) ) ) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t29_filter_0) ).
fof(29,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',redefinition_k3_filter_2) ).
fof(31,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t4_subset) ).
fof(35,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/tmpQYeh8A/sel_LAT311+1.p_2',fc6_lattice2) ).
fof(39,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',redefinition_k2_filter_2) ).
fof(48,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',dt_k7_filter_2) ).
fof(50,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t7_boole) ).
fof(56,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/tmpQYeh8A/sel_LAT311+1.p_2',d4_filter_2) ).
fof(71,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',fc1_lattice2) ).
fof(72,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',dt_k1_lattice2) ).
fof(93,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',d6_filter_2) ).
fof(98,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
file('/tmp/tmpQYeh8A/sel_LAT311+1.p_2',t37_filter_2) ).
fof(102,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
inference(assume_negation,[status(cth)],[4]) ).
fof(104,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[102,theory(equality)]) ).
fof(105,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)],[6,theory(equality)]) ).
fof(113,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[18,theory(equality)]) ).
fof(116,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r2_hidden(X2,X3)
=> r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(118,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(121,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)],[35,theory(equality)]) ).
fof(123,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[39,theory(equality)]) ).
fof(129,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).
fof(133,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)],[56,theory(equality)]) ).
fof(142,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)],[71,theory(equality)]) ).
fof(153,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[93,theory(equality)]) ).
fof(156,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[98,theory(equality)]) ).
fof(171,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ? [X3] :
( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(X2,X3)
& ~ r1_tarski(k18_filter_2(X1,X2),k19_filter_2(X1,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(172,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& l3_lattices(X4)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X4))
& ? [X6] :
( ~ v1_xboole_0(X6)
& m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
& r2_hidden(X5,X6)
& ~ r1_tarski(k18_filter_2(X4,X5),k19_filter_2(X4,X6)) ) ) ),
inference(variable_rename,[status(thm)],[171]) ).
fof(173,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& r2_hidden(esk2_0,esk3_0)
& ~ r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)) ),
inference(skolemize,[status(esa)],[172]) ).
cnf(174,negated_conjecture,
~ r1_tarski(k18_filter_2(esk1_0,esk2_0),k19_filter_2(esk1_0,esk3_0)),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(175,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(176,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(177,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(178,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(179,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(180,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[173]) ).
cnf(181,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[173]) ).
fof(185,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)],[105]) ).
fof(186,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)],[185]) ).
cnf(187,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)],[186]) ).
fof(224,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
inference(fof_nnf,[status(thm)],[113]) ).
fof(225,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| ( k18_filter_2(X3,X4) = k2_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4))
& k18_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4)) = k2_filter_2(X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[224]) ).
fof(226,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| ( k18_filter_2(X3,X4) = k2_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4))
& k18_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4)) = k2_filter_2(X3,X4) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[225]) ).
fof(227,plain,
! [X3,X4] :
( ( k18_filter_2(X3,X4) = k2_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( k18_filter_2(k1_lattice2(X3),k5_filter_2(X3,X4)) = k2_filter_2(X3,X4)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[226]) ).
cnf(229,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[227]) ).
fof(242,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(X2,X3)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[116]) ).
fof(243,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ r2_hidden(X5,X6)
| r1_tarski(k2_filter_0(X4,X5),k3_filter_0(X4,X6)) ) ) ),
inference(variable_rename,[status(thm)],[242]) ).
fof(244,plain,
! [X4,X5,X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X4)))
| ~ r2_hidden(X5,X6)
| r1_tarski(k2_filter_0(X4,X5),k3_filter_0(X4,X6))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[243]) ).
cnf(245,plain,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| v1_xboole_0(X3)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[244]) ).
fof(271,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
inference(fof_nnf,[status(thm)],[118]) ).
fof(272,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k3_filter_2(X3,X4) = k3_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[271]) ).
cnf(273,plain,
( k3_filter_2(X1,X2) = k3_filter_0(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[272]) ).
fof(277,plain,
! [X1,X2,X3] :
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(X1,X3) ),
inference(fof_nnf,[status(thm)],[31]) ).
fof(278,plain,
! [X4,X5,X6] :
( ~ r2_hidden(X4,X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(X6))
| m1_subset_1(X4,X6) ),
inference(variable_rename,[status(thm)],[277]) ).
cnf(279,plain,
( m1_subset_1(X1,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ r2_hidden(X1,X3) ),
inference(split_conjunct,[status(thm)],[278]) ).
fof(293,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)],[121]) ).
fof(294,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)],[293]) ).
fof(295,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)],[294]) ).
cnf(296,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[295]) ).
fof(314,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_nnf,[status(thm)],[123]) ).
fof(315,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| k2_filter_2(X3,X4) = k2_filter_0(X3,X4) ),
inference(variable_rename,[status(thm)],[314]) ).
cnf(316,plain,
( k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[315]) ).
fof(347,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_nnf,[status(thm)],[129]) ).
fof(348,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| m1_subset_1(k7_filter_2(X3,X4),k1_zfmisc_1(u1_struct_0(k1_lattice2(X3)))) ),
inference(variable_rename,[status(thm)],[347]) ).
cnf(349,plain,
( m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[348]) ).
fof(356,plain,
! [X1,X2] :
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(fof_nnf,[status(thm)],[50]) ).
fof(357,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| ~ v1_xboole_0(X4) ),
inference(variable_rename,[status(thm)],[356]) ).
cnf(358,plain,
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X1) ),
inference(split_conjunct,[status(thm)],[357]) ).
fof(388,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)],[133]) ).
fof(389,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)],[388]) ).
fof(390,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)],[389]) ).
cnf(391,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)],[390]) ).
fof(447,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)],[142]) ).
fof(448,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)],[447]) ).
fof(449,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)],[448]) ).
cnf(451,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[449]) ).
fof(452,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[72]) ).
fof(453,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[452]) ).
fof(454,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[453]) ).
cnf(455,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[454]) ).
fof(550,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k7_filter_2(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[153]) ).
fof(551,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[550]) ).
fof(552,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[551]) ).
cnf(553,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[552]) ).
fof(569,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ! [X3] :
( v1_xboole_0(X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[156]) ).
fof(570,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ! [X5] :
( v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| ! [X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| ( k3_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5)) = k19_filter_2(X4,X5)
& k3_filter_2(X4,X5) = k19_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5))
& k3_filter_2(X4,k8_filter_2(X4,X6)) = k19_filter_2(k1_lattice2(X4),X6)
& k3_filter_2(k1_lattice2(X4),X6) = k19_filter_2(X4,k8_filter_2(X4,X6)) ) ) ) ),
inference(variable_rename,[status(thm)],[569]) ).
fof(571,plain,
! [X4,X5,X6] :
( v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| ( k3_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5)) = k19_filter_2(X4,X5)
& k3_filter_2(X4,X5) = k19_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5))
& k3_filter_2(X4,k8_filter_2(X4,X6)) = k19_filter_2(k1_lattice2(X4),X6)
& k3_filter_2(k1_lattice2(X4),X6) = k19_filter_2(X4,k8_filter_2(X4,X6)) )
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[570]) ).
fof(572,plain,
! [X4,X5,X6] :
( ( k3_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5)) = k19_filter_2(X4,X5)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(X4,X5) = k19_filter_2(k1_lattice2(X4),k7_filter_2(X4,X5))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(X4,k8_filter_2(X4,X6)) = k19_filter_2(k1_lattice2(X4),X6)
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( k3_filter_2(k1_lattice2(X4),X6) = k19_filter_2(X4,k8_filter_2(X4,X6))
| v1_xboole_0(X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(k1_lattice2(X4))))
| v1_xboole_0(X5)
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X4)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[571]) ).
cnf(576,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[572]) ).
cnf(707,plain,
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[349,553,theory(equality)]) ).
cnf(727,plain,
( k18_filter_2(X1,X2) = k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[316,229,theory(equality)]) ).
cnf(742,plain,
( v1_xboole_0(X3)
| v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[245,279]) ).
cnf(743,plain,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_0(X1,X3))
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[742,358]) ).
cnf(746,plain,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_2(X1,X3))
| v1_xboole_0(X3)
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[743,273,theory(equality)]) ).
cnf(786,plain,
( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
| v1_xboole_0(X2)
| v1_xboole_0(k7_filter_2(X1,X3))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[576,349,theory(equality)]) ).
cnf(3120,plain,
( k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[727,455]) ).
cnf(3121,plain,
( k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[3120,296]) ).
cnf(3122,plain,
( k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[3121,187]) ).
cnf(3123,plain,
( k2_filter_0(k1_lattice2(X1),k5_filter_2(X1,X2)) = k18_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[3122,451]) ).
cnf(3857,plain,
( v3_struct_0(X1)
| r1_tarski(k2_filter_0(X1,X2),k3_filter_2(X1,X3))
| ~ r2_hidden(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[746,358]) ).
cnf(3860,plain,
( v3_struct_0(k1_lattice2(X1))
| r1_tarski(k18_filter_2(X1,X2),k3_filter_2(k1_lattice2(X1),X3))
| v3_struct_0(X1)
| ~ r2_hidden(k5_filter_2(X1,X2),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[3857,3123,theory(equality)]) ).
cnf(4828,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[786,176,theory(equality)]) ).
cnf(4870,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[4828,180,theory(equality)]) ).
cnf(4871,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[4870,179,theory(equality)]) ).
cnf(4872,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(cn,[status(thm)],[4871,theory(equality)]) ).
cnf(4873,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[4872,177,theory(equality)]) ).
cnf(4874,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[4873,181,theory(equality)]) ).
cnf(130598,plain,
( v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| r1_tarski(k18_filter_2(X1,X2),k3_filter_2(k1_lattice2(X1),X3))
| ~ r2_hidden(k5_filter_2(X1,X2),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[3860,455]) ).
cnf(130599,plain,
( v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| r1_tarski(k18_filter_2(X1,X2),k3_filter_2(k1_lattice2(X1),X3))
| ~ r2_hidden(k5_filter_2(X1,X2),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[130598,296]) ).
cnf(130600,plain,
( v3_struct_0(X1)
| r1_tarski(k18_filter_2(X1,X2),k3_filter_2(k1_lattice2(X1),X3))
| ~ r2_hidden(k5_filter_2(X1,X2),X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[130599,451]) ).
cnf(215819,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),k7_filter_2(esk1_0,esk3_0)) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(k7_filter_2(esk1_0,esk3_0)) ),
inference(spm,[status(thm)],[4874,176,theory(equality)]) ).
cnf(216352,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[215819,553,theory(equality)]) ).
cnf(216372,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[216352,176,theory(equality)]) ).
cnf(216373,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| $false
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[216372,180,theory(equality)]) ).
cnf(216374,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[216373,179,theory(equality)]) ).
cnf(216375,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v1_xboole_0(esk3_0)
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[216374,theory(equality)]) ).
cnf(216376,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(esk1_0) ),
inference(sr,[status(thm)],[216375,177,theory(equality)]) ).
cnf(216377,negated_conjecture,
k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
inference(sr,[status(thm)],[216376,181,theory(equality)]) ).
cnf(216396,negated_conjecture,
( v3_struct_0(esk1_0)
| r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ r2_hidden(k5_filter_2(esk1_0,X1),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[130600,216377,theory(equality)]) ).
cnf(216419,negated_conjecture,
( v3_struct_0(esk1_0)
| r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ r2_hidden(k5_filter_2(esk1_0,X1),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[216396,180,theory(equality)]) ).
cnf(216420,negated_conjecture,
( v3_struct_0(esk1_0)
| r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ r2_hidden(k5_filter_2(esk1_0,X1),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[216419,179,theory(equality)]) ).
cnf(216421,negated_conjecture,
( v3_struct_0(esk1_0)
| r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ r2_hidden(k5_filter_2(esk1_0,X1),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[216420,theory(equality)]) ).
cnf(216422,negated_conjecture,
( r1_tarski(k18_filter_2(esk1_0,X1),k19_filter_2(esk1_0,esk3_0))
| ~ r2_hidden(k5_filter_2(esk1_0,X1),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[216421,181,theory(equality)]) ).
cnf(546129,negated_conjecture,
( ~ r2_hidden(k5_filter_2(esk1_0,esk2_0),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[174,216422,theory(equality)]) ).
cnf(546133,negated_conjecture,
( ~ r2_hidden(k5_filter_2(esk1_0,esk2_0),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| $false ),
inference(rw,[status(thm)],[546129,178,theory(equality)]) ).
cnf(546134,negated_conjecture,
( ~ r2_hidden(k5_filter_2(esk1_0,esk2_0),esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[546133,theory(equality)]) ).
cnf(546146,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,esk3_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[546134,391,theory(equality)]) ).
cnf(546148,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[546146,175,theory(equality)]) ).
cnf(546149,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| $false
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[546148,178,theory(equality)]) ).
cnf(546150,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| $false
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[546149,180,theory(equality)]) ).
cnf(546151,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[546150,179,theory(equality)]) ).
cnf(546152,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))) ),
inference(cn,[status(thm)],[546151,theory(equality)]) ).
cnf(546153,negated_conjecture,
~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)))),
inference(sr,[status(thm)],[546152,181,theory(equality)]) ).
cnf(546164,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[546153,707,theory(equality)]) ).
cnf(546168,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[546164,176,theory(equality)]) ).
cnf(546169,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[546168,180,theory(equality)]) ).
cnf(546170,negated_conjecture,
( v3_struct_0(esk1_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[546169,179,theory(equality)]) ).
cnf(546171,negated_conjecture,
v3_struct_0(esk1_0),
inference(cn,[status(thm)],[546170,theory(equality)]) ).
cnf(546172,negated_conjecture,
$false,
inference(sr,[status(thm)],[546171,181,theory(equality)]) ).
cnf(546173,negated_conjecture,
$false,
546172,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT311+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpQYeh8A/sel_LAT311+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpQYeh8A/sel_LAT311+1.p_2 with time limit 81
% -prover status Theorem
% Problem LAT311+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT311+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT311+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
%
%------------------------------------------------------------------------------