TSTP Solution File: LAT337+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT337+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 15:40:27 EST 2010
% Result : Theorem 0.43s
% Output : CNFRefutation 0.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 76
% Number of leaves : 8
% Syntax : Number of formulae : 143 ( 14 unt; 0 def)
% Number of atoms : 1319 ( 0 equ)
% Maximal formula atoms : 65 ( 9 avg)
% Number of connectives : 1835 ( 659 ~; 888 |; 246 &)
% ( 0 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 109 ( 0 sgn 77 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(28,axiom,
! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',t86_filter_2) ).
fof(34,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',cc7_lattices) ).
fof(36,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',cc5_lattices) ).
fof(48,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',dt_k22_filter_2) ).
fof(51,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',t78_filter_2) ).
fof(77,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',fc5_filter_2) ).
fof(78,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',cc6_lattices) ).
fof(83,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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
file('/tmp/tmpIQaEMm/sel_LAT337+1.p_1',t87_filter_2) ).
fof(84,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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(assume_negation,[status(cth)],[83]) ).
fof(99,plain,
! [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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1)
& v12_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[28,theory(equality)]) ).
fof(100,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(102,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[36,theory(equality)]) ).
fof(107,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[48,theory(equality)]) ).
fof(109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( v11_lattices(X1)
=> v11_lattices(k23_filter_2(X1,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[51,theory(equality)]) ).
fof(120,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[77,theory(equality)]) ).
fof(121,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[78,theory(equality)]) ).
fof(124,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))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3) )
=> ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[84,theory(equality)]) ).
fof(264,plain,
! [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))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v12_lattices(X1)
| ~ r3_lattices(X1,X2,X3)
| ( ~ v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
& l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ),
inference(fof_nnf,[status(thm)],[99]) ).
fof(265,plain,
! [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))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ( ~ v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v15_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v16_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6))) ) ) ) ),
inference(variable_rename,[status(thm)],[264]) ).
fof(266,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ( ~ v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v15_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& v16_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
& l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6))) )
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[265]) ).
fof(267,plain,
! [X4,X5,X6] :
( ( ~ v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v15_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v16_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ v15_lattices(X4)
| ~ v16_lattices(X4)
| ~ l3_lattices(X4)
| ~ v12_lattices(X4)
| ~ r3_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[266]) ).
cnf(268,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[267]) ).
cnf(269,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v16_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[267]) ).
cnf(270,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| v15_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r3_lattices(X1,X2,X3)
| ~ v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[267]) ).
fof(286,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1)
& v10_lattices(X1)
& v12_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(287,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ( ~ v3_struct_0(X2)
& v4_lattices(X2)
& v5_lattices(X2)
& v6_lattices(X2)
& v7_lattices(X2)
& v8_lattices(X2)
& v9_lattices(X2)
& v10_lattices(X2)
& v12_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[286]) ).
fof(288,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) )
& ( v12_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[287]) ).
cnf(289,plain,
( v3_struct_0(X1)
| v12_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[288]) ).
fof(301,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[102]) ).
fof(302,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ( ~ v3_struct_0(X2)
& v11_lattices(X2)
& v13_lattices(X2)
& v14_lattices(X2)
& v15_lattices(X2)
& v16_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[301]) ).
fof(303,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v11_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v13_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v14_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v15_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) )
& ( v16_lattices(X2)
| v3_struct_0(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[302]) ).
cnf(304,plain,
( v3_struct_0(X1)
| v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[303]) ).
cnf(305,plain,
( v3_struct_0(X1)
| v15_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[303]) ).
cnf(308,plain,
( v3_struct_0(X1)
| v11_lattices(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1) ),
inference(split_conjunct,[status(thm)],[303]) ).
fof(362,plain,
! [X1,X2,X3] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ~ v1_xboole_0(k22_filter_2(X1,X2,X3))
& m2_lattice4(k22_filter_2(X1,X2,X3),X1) ) ),
inference(fof_nnf,[status(thm)],[107]) ).
fof(363,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
& m2_lattice4(k22_filter_2(X4,X5,X6),X4) ) ),
inference(variable_rename,[status(thm)],[362]) ).
fof(364,plain,
! [X4,X5,X6] :
( ( ~ v1_xboole_0(k22_filter_2(X4,X5,X6))
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4)) )
& ( m2_lattice4(k22_filter_2(X4,X5,X6),X4)
| v3_struct_0(X4)
| ~ v10_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)],[363]) ).
cnf(365,plain,
( v3_struct_0(X2)
| m2_lattice4(k22_filter_2(X2,X3,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[364]) ).
cnf(366,plain,
( v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v1_xboole_0(k22_filter_2(X2,X3,X1)) ),
inference(split_conjunct,[status(thm)],[364]) ).
fof(373,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( v1_xboole_0(X2)
| ~ m2_lattice4(X2,X1)
| ~ v11_lattices(X1)
| v11_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(374,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3)
| ~ v11_lattices(X3)
| v11_lattices(k23_filter_2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[373]) ).
fof(375,plain,
! [X3,X4] :
( v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3)
| ~ v11_lattices(X3)
| v11_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[374]) ).
cnf(376,plain,
( v3_struct_0(X1)
| v11_lattices(k23_filter_2(X1,X2))
| v1_xboole_0(X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[375]) ).
fof(510,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| v1_xboole_0(X2)
| ~ m2_lattice4(X2,X1)
| ( ~ v3_struct_0(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v10_lattices(k23_filter_2(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[120]) ).
fof(511,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3)
| ( ~ v3_struct_0(k23_filter_2(X3,X4))
& v3_lattices(k23_filter_2(X3,X4))
& v4_lattices(k23_filter_2(X3,X4))
& v5_lattices(k23_filter_2(X3,X4))
& v6_lattices(k23_filter_2(X3,X4))
& v7_lattices(k23_filter_2(X3,X4))
& v8_lattices(k23_filter_2(X3,X4))
& v9_lattices(k23_filter_2(X3,X4))
& v10_lattices(k23_filter_2(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[510]) ).
fof(512,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v3_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v4_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v5_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v6_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v7_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v8_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v9_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) )
& ( v10_lattices(k23_filter_2(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| v1_xboole_0(X4)
| ~ m2_lattice4(X4,X3) ) ),
inference(distribute,[status(thm)],[511]) ).
cnf(513,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| v10_lattices(k23_filter_2(X2,X1))
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[512]) ).
cnf(521,plain,
( v1_xboole_0(X1)
| v3_struct_0(X2)
| ~ m2_lattice4(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k23_filter_2(X2,X1)) ),
inference(split_conjunct,[status(thm)],[512]) ).
fof(522,plain,
! [X1] :
( ~ l3_lattices(X1)
| v3_struct_0(X1)
| ~ v11_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ( ~ v3_struct_0(X1)
& v17_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[121]) ).
fof(523,plain,
! [X2] :
( ~ l3_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ( ~ v3_struct_0(X2)
& v17_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[522]) ).
fof(524,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) )
& ( v17_lattices(X2)
| v3_struct_0(X2)
| ~ v11_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[523]) ).
cnf(525,plain,
( v3_struct_0(X1)
| v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v16_lattices(X1)
| ~ v15_lattices(X1)
| ~ v11_lattices(X1) ),
inference(split_conjunct,[status(thm)],[524]) ).
fof(544,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))
& ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1)
& r3_lattices(X1,X2,X3)
& ( v3_struct_0(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v10_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ v17_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3)))
| ~ l3_lattices(k23_filter_2(X1,k22_filter_2(X1,X2,X3))) ) ) ) ),
inference(fof_nnf,[status(thm)],[124]) ).
fof(545,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))
& ~ v3_struct_0(X4)
& v10_lattices(X4)
& v17_lattices(X4)
& l3_lattices(X4)
& r3_lattices(X4,X5,X6)
& ( v3_struct_0(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| ~ v10_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| ~ v17_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6)))
| ~ l3_lattices(k23_filter_2(X4,k22_filter_2(X4,X5,X6))) ) ) ) ),
inference(variable_rename,[status(thm)],[544]) ).
fof(546,negated_conjecture,
( ~ v3_struct_0(esk28_0)
& v10_lattices(esk28_0)
& l3_lattices(esk28_0)
& m1_subset_1(esk29_0,u1_struct_0(esk28_0))
& m1_subset_1(esk30_0,u1_struct_0(esk28_0))
& ~ v3_struct_0(esk28_0)
& v10_lattices(esk28_0)
& v17_lattices(esk28_0)
& l3_lattices(esk28_0)
& r3_lattices(esk28_0,esk29_0,esk30_0)
& ( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v17_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ) ),
inference(skolemize,[status(esa)],[545]) ).
cnf(547,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v17_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(548,negated_conjecture,
r3_lattices(esk28_0,esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(549,negated_conjecture,
l3_lattices(esk28_0),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(550,negated_conjecture,
v17_lattices(esk28_0),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(551,negated_conjecture,
v10_lattices(esk28_0),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(552,negated_conjecture,
~ v3_struct_0(esk28_0),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(553,negated_conjecture,
m1_subset_1(esk30_0,u1_struct_0(esk28_0)),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(554,negated_conjecture,
m1_subset_1(esk29_0,u1_struct_0(esk28_0)),
inference(split_conjunct,[status(thm)],[546]) ).
cnf(563,negated_conjecture,
( v15_lattices(esk28_0)
| v3_struct_0(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[305,550,theory(equality)]) ).
cnf(565,negated_conjecture,
( v15_lattices(esk28_0)
| v3_struct_0(esk28_0)
| $false ),
inference(rw,[status(thm)],[563,549,theory(equality)]) ).
cnf(566,negated_conjecture,
( v15_lattices(esk28_0)
| v3_struct_0(esk28_0) ),
inference(cn,[status(thm)],[565,theory(equality)]) ).
cnf(567,negated_conjecture,
v15_lattices(esk28_0),
inference(sr,[status(thm)],[566,552,theory(equality)]) ).
cnf(575,negated_conjecture,
( v11_lattices(esk28_0)
| v3_struct_0(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[308,550,theory(equality)]) ).
cnf(577,negated_conjecture,
( v11_lattices(esk28_0)
| v3_struct_0(esk28_0)
| $false ),
inference(rw,[status(thm)],[575,549,theory(equality)]) ).
cnf(578,negated_conjecture,
( v11_lattices(esk28_0)
| v3_struct_0(esk28_0) ),
inference(cn,[status(thm)],[577,theory(equality)]) ).
cnf(579,negated_conjecture,
v11_lattices(esk28_0),
inference(sr,[status(thm)],[578,552,theory(equality)]) ).
cnf(583,negated_conjecture,
( v16_lattices(esk28_0)
| v3_struct_0(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[304,550,theory(equality)]) ).
cnf(585,negated_conjecture,
( v16_lattices(esk28_0)
| v3_struct_0(esk28_0)
| $false ),
inference(rw,[status(thm)],[583,549,theory(equality)]) ).
cnf(586,negated_conjecture,
( v16_lattices(esk28_0)
| v3_struct_0(esk28_0) ),
inference(cn,[status(thm)],[585,theory(equality)]) ).
cnf(587,negated_conjecture,
v16_lattices(esk28_0),
inference(sr,[status(thm)],[586,552,theory(equality)]) ).
cnf(668,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v16_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(spm,[status(thm)],[547,525,theory(equality)]) ).
cnf(951,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| ~ v16_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[668,269,theory(equality)]) ).
cnf(952,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[951,587,theory(equality)]) ).
cnf(953,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[952,551,theory(equality)]) ).
cnf(954,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[953,548,theory(equality)]) ).
cnf(955,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[954,553,theory(equality)]) ).
cnf(956,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[955,554,theory(equality)]) ).
cnf(957,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[956,567,theory(equality)]) ).
cnf(958,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[957,549,theory(equality)]) ).
cnf(959,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0) ),
inference(cn,[status(thm)],[958,theory(equality)]) ).
cnf(960,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v11_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v12_lattices(esk28_0) ),
inference(sr,[status(thm)],[959,552,theory(equality)]) ).
cnf(1687,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v11_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[960,376,theory(equality)]) ).
cnf(1688,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| $false
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[1687,579,theory(equality)]) ).
cnf(1689,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[1688,551,theory(equality)]) ).
cnf(1690,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1689,549,theory(equality)]) ).
cnf(1691,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0) ),
inference(cn,[status(thm)],[1690,theory(equality)]) ).
cnf(1692,negated_conjecture,
( v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v15_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0) ),
inference(sr,[status(thm)],[1691,552,theory(equality)]) ).
cnf(2198,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v16_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[1692,270,theory(equality)]) ).
cnf(2199,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2198,587,theory(equality)]) ).
cnf(2200,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2199,551,theory(equality)]) ).
cnf(2201,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| $false
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2200,548,theory(equality)]) ).
cnf(2202,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2201,553,theory(equality)]) ).
cnf(2203,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| $false
| $false
| $false
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2202,554,theory(equality)]) ).
cnf(2204,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2203,567,theory(equality)]) ).
cnf(2205,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2204,549,theory(equality)]) ).
cnf(2206,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(cn,[status(thm)],[2205,theory(equality)]) ).
cnf(2207,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(sr,[status(thm)],[2206,552,theory(equality)]) ).
cnf(2218,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[2207,513,theory(equality)]) ).
cnf(2220,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2218,551,theory(equality)]) ).
cnf(2221,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| $false
| $false ),
inference(rw,[status(thm)],[2220,549,theory(equality)]) ).
cnf(2222,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(cn,[status(thm)],[2221,theory(equality)]) ).
cnf(2223,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ l3_lattices(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0))) ),
inference(sr,[status(thm)],[2222,552,theory(equality)]) ).
cnf(2233,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v16_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[2223,268,theory(equality)]) ).
cnf(2235,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| ~ v10_lattices(esk28_0)
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2233,587,theory(equality)]) ).
cnf(2236,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| ~ r3_lattices(esk28_0,esk29_0,esk30_0)
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2235,551,theory(equality)]) ).
cnf(2237,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2236,548,theory(equality)]) ).
cnf(2238,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2237,553,theory(equality)]) ).
cnf(2239,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| ~ v15_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2238,554,theory(equality)]) ).
cnf(2240,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2239,567,theory(equality)]) ).
cnf(2241,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2240,549,theory(equality)]) ).
cnf(2242,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(cn,[status(thm)],[2241,theory(equality)]) ).
cnf(2243,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(k23_filter_2(esk28_0,k22_filter_2(esk28_0,esk29_0,esk30_0)))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(sr,[status(thm)],[2242,552,theory(equality)]) ).
cnf(2248,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(spm,[status(thm)],[521,2243,theory(equality)]) ).
cnf(2250,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| $false
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2248,551,theory(equality)]) ).
cnf(2251,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| $false
| $false
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2250,549,theory(equality)]) ).
cnf(2252,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(cn,[status(thm)],[2251,theory(equality)]) ).
cnf(2253,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| ~ m2_lattice4(k22_filter_2(esk28_0,esk29_0,esk30_0),esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(sr,[status(thm)],[2252,552,theory(equality)]) ).
cnf(2263,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[2253,365,theory(equality)]) ).
cnf(2264,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2263,551,theory(equality)]) ).
cnf(2265,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2264,554,theory(equality)]) ).
cnf(2266,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2265,553,theory(equality)]) ).
cnf(2267,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0)
| $false
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2266,549,theory(equality)]) ).
cnf(2268,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(cn,[status(thm)],[2267,theory(equality)]) ).
cnf(2269,negated_conjecture,
( v1_xboole_0(k22_filter_2(esk28_0,esk29_0,esk30_0))
| ~ v12_lattices(esk28_0) ),
inference(sr,[status(thm)],[2268,552,theory(equality)]) ).
cnf(2277,negated_conjecture,
( v3_struct_0(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(spm,[status(thm)],[366,2269,theory(equality)]) ).
cnf(2281,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| ~ m1_subset_1(esk29_0,u1_struct_0(esk28_0))
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2277,551,theory(equality)]) ).
cnf(2282,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| $false
| ~ m1_subset_1(esk30_0,u1_struct_0(esk28_0))
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2281,554,theory(equality)]) ).
cnf(2283,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| $false
| $false
| ~ l3_lattices(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2282,553,theory(equality)]) ).
cnf(2284,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| $false
| $false
| $false
| ~ v12_lattices(esk28_0) ),
inference(rw,[status(thm)],[2283,549,theory(equality)]) ).
cnf(2285,negated_conjecture,
( v3_struct_0(esk28_0)
| ~ v12_lattices(esk28_0) ),
inference(cn,[status(thm)],[2284,theory(equality)]) ).
cnf(2286,negated_conjecture,
~ v12_lattices(esk28_0),
inference(sr,[status(thm)],[2285,552,theory(equality)]) ).
cnf(2287,negated_conjecture,
( v3_struct_0(esk28_0)
| ~ v11_lattices(esk28_0)
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(spm,[status(thm)],[2286,289,theory(equality)]) ).
cnf(2288,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| ~ v10_lattices(esk28_0)
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2287,579,theory(equality)]) ).
cnf(2289,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| $false
| ~ l3_lattices(esk28_0) ),
inference(rw,[status(thm)],[2288,551,theory(equality)]) ).
cnf(2290,negated_conjecture,
( v3_struct_0(esk28_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[2289,549,theory(equality)]) ).
cnf(2291,negated_conjecture,
v3_struct_0(esk28_0),
inference(cn,[status(thm)],[2290,theory(equality)]) ).
cnf(2292,negated_conjecture,
$false,
inference(sr,[status(thm)],[2291,552,theory(equality)]) ).
cnf(2293,negated_conjecture,
$false,
2292,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT337+1.p
% --creating new selector for []
% -running prover on /tmp/tmpIQaEMm/sel_LAT337+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT337+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT337+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT337+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
%
%------------------------------------------------------------------------------