TSTP Solution File: LAT305+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT305+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 14:23:23 EST 2010
% Result : Theorem 71.72s
% Output : CNFRefutation 71.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 10
% Syntax : Number of formulae : 128 ( 10 unt; 0 def)
% Number of atoms : 860 ( 24 equ)
% Maximal formula atoms : 28 ( 6 avg)
% Number of connectives : 1243 ( 511 ~; 553 |; 141 &)
% ( 4 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 165 ( 1 sgn 120 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',redefinition_r3_lattices) ).
fof(6,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',t31_filter_2) ).
fof(15,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',dt_l3_lattices) ).
fof(21,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',reflexivity_r3_lattices) ).
fof(24,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1)) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',dt_k4_lattices) ).
fof(28,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) = a_2_0_filter_2(X1,X2) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',d9_filter_2) ).
fof(32,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',commutativity_k4_lattices) ).
fof(33,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> r1_lattices(X1,k4_lattices(X1,X2,X3),X2) ) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',t23_lattices) ).
fof(42,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',fraenkel_a_2_0_filter_2) ).
fof(79,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/tmp/tmpa1jDUb/sel_LAT305+1.p_2',cc1_lattices) ).
fof(85,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(86,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( r3_lattices(X1,X2,X3)
<=> r1_lattices(X1,X2,X3) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(88,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r2_hidden(X2,k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
& r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[85,theory(equality)]) ).
fof(96,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> r3_lattices(X1,X2,X2) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(98,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[24,theory(equality)]) ).
fof(101,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) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(103,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& l1_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[32,theory(equality)]) ).
fof(104,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v6_lattices(X1)
& v8_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> r1_lattices(X1,k4_lattices(X1,X2,X3),X2) ) ) ),
inference(fof_simplification,[status(thm)],[33,theory(equality)]) ).
fof(108,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& m1_subset_1(X3,u1_struct_0(X2)) )
=> ( r2_hidden(X1,a_2_0_filter_2(X2,X3))
<=> ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) ) ),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(120,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[79,theory(equality)]) ).
fof(130,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ( ~ r3_lattices(X1,X2,X3)
| r1_lattices(X1,X2,X3) )
& ( ~ r1_lattices(X1,X2,X3)
| r3_lattices(X1,X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[86]) ).
fof(131,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[130]) ).
fof(132,plain,
! [X4,X5,X6] :
( ( ~ r3_lattices(X4,X5,X6)
| r1_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( ~ r1_lattices(X4,X5,X6)
| r3_lattices(X4,X5,X6)
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) ) ),
inference(distribute,[status(thm)],[131]) ).
cnf(133,plain,
( v3_struct_0(X2)
| r3_lattices(X2,X3,X1)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v9_lattices(X2)
| ~ v8_lattices(X2)
| ~ v6_lattices(X2)
| ~ r1_lattices(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(141,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ( ~ r2_hidden(X2,k18_filter_2(X1,X2))
| ~ r2_hidden(k4_lattices(X1,X2,X3),k18_filter_2(X1,X2))
| ~ r2_hidden(k4_lattices(X1,X3,X2),k18_filter_2(X1,X2)) ) ) ) ),
inference(fof_nnf,[status(thm)],[88]) ).
fof(142,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& l3_lattices(X4)
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X4))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X4))
& ( ~ r2_hidden(X5,k18_filter_2(X4,X5))
| ~ r2_hidden(k4_lattices(X4,X5,X6),k18_filter_2(X4,X5))
| ~ r2_hidden(k4_lattices(X4,X6,X5),k18_filter_2(X4,X5)) ) ) ) ),
inference(variable_rename,[status(thm)],[141]) ).
fof(143,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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& ( ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0)) ) ),
inference(skolemize,[status(esa)],[142]) ).
cnf(144,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),k18_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,k18_filter_2(esk1_0,esk2_0)) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(145,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(146,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(147,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(148,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(149,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[143]) ).
fof(174,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(175,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[174]) ).
fof(176,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[175]) ).
cnf(178,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[176]) ).
fof(193,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| r3_lattices(X1,X2,X2) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(194,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ v9_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| r3_lattices(X4,X5,X5) ),
inference(variable_rename,[status(thm)],[193]) ).
cnf(195,plain,
( r3_lattices(X1,X2,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(204,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[98]) ).
fof(205,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| m1_subset_1(k4_lattices(X4,X5,X6),u1_struct_0(X4)) ),
inference(variable_rename,[status(thm)],[204]) ).
cnf(206,plain,
( m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[205]) ).
fof(217,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) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_nnf,[status(thm)],[101]) ).
fof(218,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) = a_2_0_filter_2(X3,X4) ) ),
inference(variable_rename,[status(thm)],[217]) ).
fof(219,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,u1_struct_0(X3))
| k18_filter_2(X3,X4) = a_2_0_filter_2(X3,X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[218]) ).
cnf(220,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[219]) ).
fof(234,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(235,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ l1_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| k4_lattices(X4,X5,X6) = k4_lattices(X4,X6,X5) ),
inference(variable_rename,[status(thm)],[234]) ).
cnf(236,plain,
( k4_lattices(X1,X2,X3) = k4_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[235]) ).
fof(237,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v6_lattices(X1)
| ~ v8_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| r1_lattices(X1,k4_lattices(X1,X2,X3),X2) ) ) ),
inference(fof_nnf,[status(thm)],[104]) ).
fof(238,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ l3_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| r1_lattices(X4,k4_lattices(X4,X5,X6),X5) ) ) ),
inference(variable_rename,[status(thm)],[237]) ).
fof(239,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| r1_lattices(X4,k4_lattices(X4,X5,X6),X5)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v6_lattices(X4)
| ~ v8_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[238]) ).
cnf(240,plain,
( v3_struct_0(X1)
| r1_lattices(X1,k4_lattices(X1,X2,X3),X2)
| ~ l3_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[239]) ).
fof(272,plain,
! [X1,X2,X3] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ( ( ~ r2_hidden(X1,a_2_0_filter_2(X2,X3))
| ? [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
& X1 = X4
& r3_lattices(X2,X4,X3) ) )
& ( ! [X4] :
( ~ m1_subset_1(X4,u1_struct_0(X2))
| X1 != X4
| ~ r3_lattices(X2,X4,X3) )
| r2_hidden(X1,a_2_0_filter_2(X2,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[108]) ).
fof(273,plain,
! [X5,X6,X7] :
( v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ( ( ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| ? [X8] :
( m1_subset_1(X8,u1_struct_0(X6))
& X5 = X8
& r3_lattices(X6,X8,X7) ) )
& ( ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X9,X7) )
| r2_hidden(X5,a_2_0_filter_2(X6,X7)) ) ) ),
inference(variable_rename,[status(thm)],[272]) ).
fof(274,plain,
! [X5,X6,X7] :
( v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6))
| ( ( ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| ( m1_subset_1(esk13_3(X5,X6,X7),u1_struct_0(X6))
& X5 = esk13_3(X5,X6,X7)
& r3_lattices(X6,esk13_3(X5,X6,X7),X7) ) )
& ( ! [X9] :
( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X9,X7) )
| r2_hidden(X5,a_2_0_filter_2(X6,X7)) ) ) ),
inference(skolemize,[status(esa)],[273]) ).
fof(275,plain,
! [X5,X6,X7,X9] :
( ( ( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X9,X7)
| r2_hidden(X5,a_2_0_filter_2(X6,X7)) )
& ( ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| ( m1_subset_1(esk13_3(X5,X6,X7),u1_struct_0(X6))
& X5 = esk13_3(X5,X6,X7)
& r3_lattices(X6,esk13_3(X5,X6,X7),X7) ) ) )
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) ),
inference(shift_quantors,[status(thm)],[274]) ).
fof(276,plain,
! [X5,X6,X7,X9] :
( ( ~ m1_subset_1(X9,u1_struct_0(X6))
| X5 != X9
| ~ r3_lattices(X6,X9,X7)
| r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( m1_subset_1(esk13_3(X5,X6,X7),u1_struct_0(X6))
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( X5 = esk13_3(X5,X6,X7)
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) )
& ( r3_lattices(X6,esk13_3(X5,X6,X7),X7)
| ~ r2_hidden(X5,a_2_0_filter_2(X6,X7))
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ~ m1_subset_1(X7,u1_struct_0(X6)) ) ),
inference(distribute,[status(thm)],[275]) ).
cnf(280,plain,
( v3_struct_0(X2)
| r2_hidden(X3,a_2_0_filter_2(X2,X1))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X4,X1)
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[276]) ).
fof(387,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(388,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[387]) ).
fof(389,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[388]) ).
cnf(390,plain,
( v3_struct_0(X1)
| v9_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[389]) ).
cnf(391,plain,
( v3_struct_0(X1)
| v8_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[389]) ).
cnf(393,plain,
( v3_struct_0(X1)
| v6_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[389]) ).
cnf(490,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v10_lattices(esk1_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[144,220,theory(equality)]) ).
cnf(491,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| $false
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[490,148,theory(equality)]) ).
cnf(492,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| $false
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[491,146,theory(equality)]) ).
cnf(493,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[492,147,theory(equality)]) ).
cnf(494,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0)) ),
inference(cn,[status(thm)],[493,theory(equality)]) ).
cnf(495,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(k4_lattices(esk1_0,esk3_0,esk2_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0)) ),
inference(sr,[status(thm)],[494,149,theory(equality)]) ).
cnf(508,plain,
( r2_hidden(X1,a_2_0_filter_2(X2,X3))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ r3_lattices(X2,X1,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2) ),
inference(er,[status(thm)],[280,theory(equality)]) ).
cnf(513,negated_conjecture,
( r3_lattices(esk1_0,X1,X1)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(spm,[status(thm)],[195,146,theory(equality)]) ).
cnf(518,negated_conjecture,
( r3_lattices(esk1_0,X1,X1)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| $false
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(rw,[status(thm)],[513,147,theory(equality)]) ).
cnf(519,negated_conjecture,
( r3_lattices(esk1_0,X1,X1)
| v3_struct_0(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(cn,[status(thm)],[518,theory(equality)]) ).
cnf(520,negated_conjecture,
( r3_lattices(esk1_0,X1,X1)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0) ),
inference(sr,[status(thm)],[519,149,theory(equality)]) ).
cnf(526,plain,
( r3_lattices(X1,k4_lattices(X1,X2,X3),X2)
| v3_struct_0(X1)
| ~ m1_subset_1(k4_lattices(X1,X2,X3),u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v9_lattices(X1)
| ~ v8_lattices(X1)
| ~ v6_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[133,240,theory(equality)]) ).
cnf(1251,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(spm,[status(thm)],[495,236,theory(equality)]) ).
cnf(1253,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| $false
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(rw,[status(thm)],[1251,146,theory(equality)]) ).
cnf(1254,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| $false
| $false
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(rw,[status(thm)],[1253,145,theory(equality)]) ).
cnf(1255,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[1254,theory(equality)]) ).
cnf(1256,negated_conjecture,
( ~ r2_hidden(k4_lattices(esk1_0,esk2_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0))
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[1255,149,theory(equality)]) ).
cnf(13224,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[1256,508,theory(equality)]) ).
cnf(13225,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[13224,148,theory(equality)]) ).
cnf(13226,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[13225,146,theory(equality)]) ).
cnf(13227,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[13226,147,theory(equality)]) ).
cnf(13228,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[13227,theory(equality)]) ).
cnf(13229,negated_conjecture,
( ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ r3_lattices(esk1_0,k4_lattices(esk1_0,esk2_0,esk3_0),esk2_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[13228,149,theory(equality)]) ).
cnf(478900,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(spm,[status(thm)],[13229,526,theory(equality)]) ).
cnf(478901,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(rw,[status(thm)],[478900,146,theory(equality)]) ).
cnf(478902,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false
| ~ l3_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(rw,[status(thm)],[478901,145,theory(equality)]) ).
cnf(478903,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false
| $false
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(rw,[status(thm)],[478902,147,theory(equality)]) ).
cnf(478904,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(cn,[status(thm)],[478903,theory(equality)]) ).
cnf(478905,negated_conjecture,
( ~ r2_hidden(esk2_0,a_2_0_filter_2(esk1_0,esk2_0))
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0) ),
inference(sr,[status(thm)],[478904,149,theory(equality)]) ).
cnf(478907,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[478905,508,theory(equality)]) ).
cnf(478908,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0))
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[478907,148,theory(equality)]) ).
cnf(478909,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[478908,146,theory(equality)]) ).
cnf(478910,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| $false
| $false ),
inference(rw,[status(thm)],[478909,147,theory(equality)]) ).
cnf(478911,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0) ),
inference(cn,[status(thm)],[478910,theory(equality)]) ).
cnf(478912,negated_conjecture,
( ~ m1_subset_1(k4_lattices(esk1_0,esk2_0,esk3_0),u1_struct_0(esk1_0))
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0) ),
inference(sr,[status(thm)],[478911,149,theory(equality)]) ).
cnf(478913,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[478912,206,theory(equality)]) ).
cnf(478914,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[478913,145,theory(equality)]) ).
cnf(478915,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[478914,146,theory(equality)]) ).
cnf(478916,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[478915,theory(equality)]) ).
cnf(478917,negated_conjecture,
( ~ r3_lattices(esk1_0,esk2_0,esk2_0)
| ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[478916,149,theory(equality)]) ).
cnf(478918,negated_conjecture,
( ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ m1_subset_1(esk2_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[478917,520,theory(equality)]) ).
cnf(478920,negated_conjecture,
( ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false ),
inference(rw,[status(thm)],[478918,146,theory(equality)]) ).
cnf(478921,negated_conjecture,
( ~ v9_lattices(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[478920,theory(equality)]) ).
cnf(479049,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[478921,390,theory(equality)]) ).
cnf(479050,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[479049,148,theory(equality)]) ).
cnf(479051,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[479050,147,theory(equality)]) ).
cnf(479052,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[479051,theory(equality)]) ).
cnf(479053,negated_conjecture,
( ~ v8_lattices(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[479052,149,theory(equality)]) ).
cnf(479116,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[479053,391,theory(equality)]) ).
cnf(479117,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[479116,148,theory(equality)]) ).
cnf(479118,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[479117,147,theory(equality)]) ).
cnf(479119,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[479118,theory(equality)]) ).
cnf(479120,negated_conjecture,
( ~ v6_lattices(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(sr,[status(thm)],[479119,149,theory(equality)]) ).
cnf(479121,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ l1_lattices(esk1_0)
| ~ v10_lattices(esk1_0)
| ~ l3_lattices(esk1_0) ),
inference(spm,[status(thm)],[479120,393,theory(equality)]) ).
cnf(479122,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| ~ l3_lattices(esk1_0) ),
inference(rw,[status(thm)],[479121,148,theory(equality)]) ).
cnf(479123,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ l1_lattices(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[479122,147,theory(equality)]) ).
cnf(479124,negated_conjecture,
( v3_struct_0(esk1_0)
| ~ l1_lattices(esk1_0) ),
inference(cn,[status(thm)],[479123,theory(equality)]) ).
cnf(479125,negated_conjecture,
~ l1_lattices(esk1_0),
inference(sr,[status(thm)],[479124,149,theory(equality)]) ).
cnf(479126,negated_conjecture,
~ l3_lattices(esk1_0),
inference(spm,[status(thm)],[479125,178,theory(equality)]) ).
cnf(479127,negated_conjecture,
$false,
inference(rw,[status(thm)],[479126,147,theory(equality)]) ).
cnf(479128,negated_conjecture,
$false,
inference(cn,[status(thm)],[479127,theory(equality)]) ).
cnf(479129,negated_conjecture,
$false,
479128,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT305+1.p
% --creating new selector for []
% eprover: CPU time limit exceeded, terminating
% -running prover on /tmp/tmpa1jDUb/sel_LAT305+1.p_1 with time limit 29
% -prover status ResourceOut
% -running prover on /tmp/tmpa1jDUb/sel_LAT305+1.p_2 with time limit 80
% -prover status Theorem
% Problem LAT305+1.p solved in phase 1.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT305+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT305+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
%
%------------------------------------------------------------------------------