%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT301+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.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 14:15:47 EST 2010
% Result : Theorem 0.36s
% Output : CNFRefutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 13
% Syntax : Number of formulae : 123 ( 10 unt; 0 def)
% Number of atoms : 688 ( 17 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 895 ( 330 ~; 382 |; 137 &)
% ( 4 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 141 ( 0 sgn 99 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',redefinition_m1_filter_2) ).
fof(12,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',dt_k15_filter_2) ).
fof(31,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',fc6_lattice2) ).
fof(42,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',dt_m2_filter_2) ).
fof(47,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',t78_lattice2) ).
fof(57,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',redefinition_k15_filter_2) ).
fof(59,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',t63_lattice2) ).
fof(60,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',fc1_lattice2) ).
fof(61,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',dt_k1_lattice2) ).
fof(74,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v13_lattices(X1)
=> r2_hidden(k5_lattices(X1),X2) ) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',t25_filter_2) ).
fof(79,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> r2_hidden(k6_lattices(X1),X2) ) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',t12_filter_0) ).
fof(81,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',d6_filter_2) ).
fof(84,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmpeEWoCA/sel_LAT301+1.p_1',dt_m2_lattice4) ).
fof(89,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v13_lattices(X1)
=> r2_hidden(k5_lattices(X1),X2) ) ) ),
inference(assume_negation,[status(cth)],[74]) ).
fof(91,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[5,theory(equality)]) ).
fof(96,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(103,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[31,theory(equality)]) ).
fof(109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[42,theory(equality)]) ).
fof(110,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[47,theory(equality)]) ).
fof(115,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[57,theory(equality)]) ).
fof(117,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
<=> v14_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[59,theory(equality)]) ).
fof(118,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[60,theory(equality)]) ).
fof(126,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v13_lattices(X1)
=> r2_hidden(k5_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[89,theory(equality)]) ).
fof(127,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> r2_hidden(k6_lattices(X1),X2) ) ) ),
inference(fof_simplification,[status(thm)],[79,theory(equality)]) ).
fof(129,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[81,theory(equality)]) ).
fof(130,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[84,theory(equality)]) ).
fof(146,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ( ~ m1_filter_2(X2,X1)
| m1_filter_0(X2,X1) )
& ( ~ m1_filter_0(X2,X1)
| m1_filter_2(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[91]) ).
fof(147,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[146]) ).
fof(148,plain,
! [X3,X4] :
( ( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3) ) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[147]) ).
fof(149,plain,
! [X3,X4] :
( ( ~ m1_filter_2(X4,X3)
| m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ m1_filter_0(X4,X3)
| m1_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(151,plain,
( v3_struct_0(X1)
| m1_filter_0(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(177,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(178,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| m1_filter_2(k15_filter_2(X3,X4),k1_lattice2(X3)) ),
inference(variable_rename,[status(thm)],[177]) ).
cnf(179,plain,
( m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(259,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(260,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2))
& v4_lattices(k1_lattice2(X2))
& v5_lattices(k1_lattice2(X2))
& v6_lattices(k1_lattice2(X2))
& v7_lattices(k1_lattice2(X2))
& v8_lattices(k1_lattice2(X2))
& v9_lattices(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[259]) ).
fof(261,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[260]) ).
cnf(262,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[261]) ).
fof(308,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(309,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[308]) ).
fof(310,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[309]) ).
fof(311,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[310]) ).
cnf(312,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[311]) ).
fof(328,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1)
| k5_lattices(X1) = k6_lattices(k1_lattice2(X1)) ),
inference(fof_nnf,[status(thm)],[110]) ).
fof(329,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ v13_lattices(X2)
| ~ l3_lattices(X2)
| k5_lattices(X2) = k6_lattices(k1_lattice2(X2)) ),
inference(variable_rename,[status(thm)],[328]) ).
cnf(330,plain,
( k5_lattices(X1) = k6_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[329]) ).
fof(362,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_nnf,[status(thm)],[115]) ).
fof(363,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| k15_filter_2(X3,X4) = k7_filter_2(X3,X4) ),
inference(variable_rename,[status(thm)],[362]) ).
cnf(364,plain,
( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[363]) ).
fof(373,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ( ~ v13_lattices(X1)
| v14_lattices(k1_lattice2(X1)) )
& ( ~ v14_lattices(k1_lattice2(X1))
| v13_lattices(X1) ) ) ),
inference(fof_nnf,[status(thm)],[117]) ).
fof(374,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ( ~ v13_lattices(X2)
| v14_lattices(k1_lattice2(X2)) )
& ( ~ v14_lattices(k1_lattice2(X2))
| v13_lattices(X2) ) ) ),
inference(variable_rename,[status(thm)],[373]) ).
fof(375,plain,
! [X2] :
( ( ~ v13_lattices(X2)
| v14_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v14_lattices(k1_lattice2(X2))
| v13_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[374]) ).
cnf(376,plain,
( v3_struct_0(X1)
| v13_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[375]) ).
cnf(377,plain,
( v3_struct_0(X1)
| v14_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1) ),
inference(split_conjunct,[status(thm)],[375]) ).
fof(378,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[118]) ).
fof(379,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[378]) ).
fof(380,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[379]) ).
cnf(382,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[380]) ).
fof(383,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(384,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[383]) ).
fof(385,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[384]) ).
cnf(386,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[385]) ).
fof(453,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( m2_filter_2(X2,X1)
& v13_lattices(X1)
& ~ r2_hidden(k5_lattices(X1),X2) ) ),
inference(fof_nnf,[status(thm)],[126]) ).
fof(454,negated_conjecture,
? [X3] :
( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3)
& ? [X4] :
( m2_filter_2(X4,X3)
& v13_lattices(X3)
& ~ r2_hidden(k5_lattices(X3),X4) ) ),
inference(variable_rename,[status(thm)],[453]) ).
fof(455,negated_conjecture,
( ~ v3_struct_0(esk22_0)
& v10_lattices(esk22_0)
& l3_lattices(esk22_0)
& m2_filter_2(esk23_0,esk22_0)
& v13_lattices(esk22_0)
& ~ r2_hidden(k5_lattices(esk22_0),esk23_0) ),
inference(skolemize,[status(esa)],[454]) ).
cnf(456,negated_conjecture,
~ r2_hidden(k5_lattices(esk22_0),esk23_0),
inference(split_conjunct,[status(thm)],[455]) ).
cnf(457,negated_conjecture,
v13_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[455]) ).
cnf(458,negated_conjecture,
m2_filter_2(esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[455]) ).
cnf(459,negated_conjecture,
l3_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[455]) ).
cnf(460,negated_conjecture,
v10_lattices(esk22_0),
inference(split_conjunct,[status(thm)],[455]) ).
cnf(461,negated_conjecture,
~ v3_struct_0(esk22_0),
inference(split_conjunct,[status(thm)],[455]) ).
fof(475,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1)
| r2_hidden(k6_lattices(X1),X2) ) ),
inference(fof_nnf,[status(thm)],[127]) ).
fof(476,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v14_lattices(X3)
| ~ l3_lattices(X3)
| r2_hidden(k6_lattices(X3),X4) ) ),
inference(variable_rename,[status(thm)],[475]) ).
fof(477,plain,
! [X3,X4] :
( ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ v14_lattices(X3)
| ~ l3_lattices(X3)
| r2_hidden(k6_lattices(X3),X4)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[476]) ).
cnf(478,plain,
( v3_struct_0(X1)
| r2_hidden(k6_lattices(X1),X2)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[477]) ).
fof(482,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k7_filter_2(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[129]) ).
fof(483,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[482]) ).
fof(484,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[483]) ).
cnf(485,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[484]) ).
fof(492,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_lattice4(X2,X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[130]) ).
fof(493,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(variable_rename,[status(thm)],[492]) ).
fof(494,plain,
! [X3,X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[493]) ).
cnf(495,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[494]) ).
cnf(585,plain,
( m1_filter_2(k7_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[179,364,theory(equality)]) ).
cnf(589,plain,
( r2_hidden(k5_lattices(X1),X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v13_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[478,330,theory(equality)]) ).
cnf(620,plain,
( k7_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(spm,[status(thm)],[485,495,theory(equality)]) ).
cnf(878,plain,
( m1_filter_2(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(spm,[status(thm)],[585,620,theory(equality)]) ).
cnf(919,plain,
( r2_hidden(k5_lattices(X1),X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[589,376]) ).
cnf(920,plain,
( r2_hidden(k5_lattices(X1),X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[919,386]) ).
cnf(921,plain,
( r2_hidden(k5_lattices(X1),X2)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[920,262]) ).
cnf(922,plain,
( r2_hidden(k5_lattices(X1),X2)
| v3_struct_0(X1)
| ~ v14_lattices(k1_lattice2(X1))
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[921,382]) ).
cnf(923,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_0(esk23_0,k1_lattice2(esk22_0))
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[456,922,theory(equality)]) ).
cnf(940,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_0(esk23_0,k1_lattice2(esk22_0))
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[923,460,theory(equality)]) ).
cnf(941,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_0(esk23_0,k1_lattice2(esk22_0))
| $false
| $false ),
inference(rw,[status(thm)],[940,459,theory(equality)]) ).
cnf(942,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_0(esk23_0,k1_lattice2(esk22_0)) ),
inference(cn,[status(thm)],[941,theory(equality)]) ).
cnf(943,negated_conjecture,
( ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_0(esk23_0,k1_lattice2(esk22_0)) ),
inference(sr,[status(thm)],[942,461,theory(equality)]) ).
cnf(946,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ m1_filter_2(esk23_0,k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(spm,[status(thm)],[943,151,theory(equality)]) ).
cnf(954,plain,
( m1_filter_2(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[878,312]) ).
cnf(1305,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| ~ m2_filter_2(esk23_0,esk22_0)
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[946,954,theory(equality)]) ).
cnf(1306,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[1305,458,theory(equality)]) ).
cnf(1307,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[1306,460,theory(equality)]) ).
cnf(1308,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1307,459,theory(equality)]) ).
cnf(1309,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(cn,[status(thm)],[1308,theory(equality)]) ).
cnf(1310,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| ~ v14_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(sr,[status(thm)],[1309,461,theory(equality)]) ).
cnf(1311,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| ~ v13_lattices(esk22_0)
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[1310,377,theory(equality)]) ).
cnf(1312,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[1311,457,theory(equality)]) ).
cnf(1313,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[1312,460,theory(equality)]) ).
cnf(1314,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[1313,459,theory(equality)]) ).
cnf(1315,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(cn,[status(thm)],[1314,theory(equality)]) ).
cnf(1316,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| ~ v10_lattices(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(sr,[status(thm)],[1315,461,theory(equality)]) ).
cnf(1317,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ l3_lattices(k1_lattice2(esk22_0))
| ~ v10_lattices(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[1316,262,theory(equality)]) ).
cnf(1318,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| ~ l3_lattices(esk22_0) ),
inference(rw,[status(thm)],[1317,460,theory(equality)]) ).
cnf(1319,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ l3_lattices(k1_lattice2(esk22_0))
| $false
| $false ),
inference(rw,[status(thm)],[1318,459,theory(equality)]) ).
cnf(1320,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| v3_struct_0(esk22_0)
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(cn,[status(thm)],[1319,theory(equality)]) ).
cnf(1321,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| ~ l3_lattices(k1_lattice2(esk22_0)) ),
inference(sr,[status(thm)],[1320,461,theory(equality)]) ).
cnf(1322,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[1321,386,theory(equality)]) ).
cnf(1323,negated_conjecture,
( v3_struct_0(k1_lattice2(esk22_0))
| $false ),
inference(rw,[status(thm)],[1322,459,theory(equality)]) ).
cnf(1324,negated_conjecture,
v3_struct_0(k1_lattice2(esk22_0)),
inference(cn,[status(thm)],[1323,theory(equality)]) ).
cnf(1329,negated_conjecture,
( v3_struct_0(esk22_0)
| ~ l3_lattices(esk22_0) ),
inference(spm,[status(thm)],[382,1324,theory(equality)]) ).
cnf(1331,negated_conjecture,
( v3_struct_0(esk22_0)
| $false ),
inference(rw,[status(thm)],[1329,459,theory(equality)]) ).
cnf(1332,negated_conjecture,
v3_struct_0(esk22_0),
inference(cn,[status(thm)],[1331,theory(equality)]) ).
cnf(1333,negated_conjecture,
$false,
inference(sr,[status(thm)],[1332,461,theory(equality)]) ).
cnf(1334,negated_conjecture,
$false,
1333,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT301+1.p
% --creating new selector for []
% -running prover on /tmp/tmpeEWoCA/sel_LAT301+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT301+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT301+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT301+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
%
%------------------------------------------------------------------------------