TSTP Solution File: LAT295+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT295+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art09.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 14:02:14 EST 2010
% Result : Theorem 1.48s
% Output : CNFRefutation 1.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 13
% Syntax : Number of formulae : 218 ( 19 unt; 0 def)
% Number of atoms : 1177 ( 297 equ)
% Maximal formula atoms : 27 ( 5 avg)
% Number of connectives : 1657 ( 698 ~; 765 |; 132 &)
% ( 3 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-6 aty)
% Number of variables : 392 ( 62 sgn 151 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(2,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',dt_u1_lattices) ).
fof(3,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',dt_u2_lattices) ).
fof(4,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',redefinition_k2_binop_1) ).
fof(9,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',redefinition_m2_relset_1) ).
fof(12,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',d1_lattices) ).
fof(15,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',dt_l3_lattices) ).
fof(17,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',free_g3_lattices) ).
fof(22,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',fc1_struct_0) ).
fof(34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',d3_lattices) ).
fof(46,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',d2_lattices) ).
fof(55,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',dt_l2_lattices) ).
fof(57,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',dt_l1_lattices) ).
fof(71,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
file('/tmp/tmpma-njb/sel_LAT295+1.p_1',t8_filter_2) ).
fof(76,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[71]) ).
fof(77,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[4,theory(equality)]) ).
fof(81,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[12,theory(equality)]) ).
fof(87,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[22,theory(equality)]) ).
fof(90,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( r1_lattices(X1,X2,X3)
<=> k1_lattices(X1,X2,X3) = X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(94,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(100,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6 )
=> ( k1_lattices(X1,X3,X4) = k1_lattices(X2,X5,X6)
& k2_lattices(X1,X3,X4) = k2_lattices(X2,X5,X6)
& ( r1_lattices(X1,X3,X4)
=> r1_lattices(X2,X5,X6) )
& ( r1_lattices(X2,X5,X6)
=> r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[76,theory(equality)]) ).
fof(102,plain,
! [X1] :
( ~ l1_lattices(X1)
| ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(103,plain,
! [X2] :
( ~ l1_lattices(X2)
| ( v1_funct_1(u1_lattices(X2))
& v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
& m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)) ) ),
inference(variable_rename,[status(thm)],[102]) ).
fof(104,plain,
! [X2] :
( ( v1_funct_1(u1_lattices(X2))
| ~ l1_lattices(X2) )
& ( v1_funct_2(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) )
& ( m2_relset_1(u1_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l1_lattices(X2) ) ),
inference(distribute,[status(thm)],[103]) ).
cnf(105,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(106,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
cnf(107,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[104]) ).
fof(108,plain,
! [X1] :
( ~ l2_lattices(X1)
| ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(109,plain,
! [X2] :
( ~ l2_lattices(X2)
| ( v1_funct_1(u2_lattices(X2))
& v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
& m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2)) ) ),
inference(variable_rename,[status(thm)],[108]) ).
fof(110,plain,
! [X2] :
( ( v1_funct_1(u2_lattices(X2))
| ~ l2_lattices(X2) )
& ( v1_funct_2(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) )
& ( m2_relset_1(u2_lattices(X2),k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),u1_struct_0(X2))
| ~ l2_lattices(X2) ) ),
inference(distribute,[status(thm)],[109]) ).
cnf(111,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(112,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
cnf(113,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[110]) ).
fof(114,plain,
! [X1,X2,X3,X4,X5,X6] :
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X2)
| k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_nnf,[status(thm)],[77]) ).
fof(115,plain,
! [X7,X8,X9,X10,X11,X12] :
( v1_xboole_0(X7)
| v1_xboole_0(X8)
| ~ v1_funct_1(X10)
| ~ v1_funct_2(X10,k2_zfmisc_1(X7,X8),X9)
| ~ m1_relset_1(X10,k2_zfmisc_1(X7,X8),X9)
| ~ m1_subset_1(X11,X7)
| ~ m1_subset_1(X12,X8)
| k2_binop_1(X7,X8,X9,X10,X11,X12) = k1_binop_1(X10,X11,X12) ),
inference(variable_rename,[status(thm)],[114]) ).
cnf(116,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_1(X4) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(131,plain,
! [X1,X2,X3] :
( ( ~ m2_relset_1(X3,X1,X2)
| m1_relset_1(X3,X1,X2) )
& ( ~ m1_relset_1(X3,X1,X2)
| m2_relset_1(X3,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(132,plain,
! [X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(variable_rename,[status(thm)],[131]) ).
cnf(134,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[132]) ).
fof(139,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[81]) ).
fof(140,plain,
! [X4] :
( v3_struct_0(X4)
| ~ l2_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| k1_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u2_lattices(X4),X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[139]) ).
fof(141,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| k1_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u2_lattices(X4),X5,X6)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) ),
inference(shift_quantors,[status(thm)],[140]) ).
cnf(142,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[141]) ).
fof(153,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(154,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[153]) ).
fof(155,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[154]) ).
cnf(156,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
cnf(157,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(160,plain,
! [X1,X2,X3] :
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) != g3_lattices(X4,X5,X6)
| ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
inference(fof_nnf,[status(thm)],[17]) ).
fof(161,plain,
! [X7,X8,X9] :
( ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
| ! [X10,X11,X12] :
( g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ( X7 = X10
& X8 = X11
& X9 = X12 ) ) ),
inference(variable_rename,[status(thm)],[160]) ).
fof(162,plain,
! [X7,X8,X9,X10,X11,X12] :
( g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ( X7 = X10
& X8 = X11
& X9 = X12 )
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ),
inference(shift_quantors,[status(thm)],[161]) ).
fof(163,plain,
! [X7,X8,X9,X10,X11,X12] :
( ( X7 = X10
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X8 = X11
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) )
& ( X9 = X12
| g3_lattices(X7,X8,X9) != g3_lattices(X10,X11,X12)
| ~ v1_funct_1(X8)
| ~ v1_funct_2(X8,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X8,k2_zfmisc_1(X7,X7),X7)
| ~ v1_funct_1(X9)
| ~ v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
| ~ m1_relset_1(X9,k2_zfmisc_1(X7,X7),X7) ) ),
inference(distribute,[status(thm)],[162]) ).
cnf(164,plain,
( X1 = X6
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(165,plain,
( X3 = X5
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[163]) ).
cnf(166,plain,
( X2 = X4
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| g3_lattices(X2,X3,X1) != g3_lattices(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[163]) ).
fof(179,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_nnf,[status(thm)],[87]) ).
fof(180,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_struct_0(X2)
| ~ v1_xboole_0(u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[179]) ).
cnf(181,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[180]) ).
fof(216,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ( ( ~ r1_lattices(X1,X2,X3)
| k1_lattices(X1,X2,X3) = X3 )
& ( k1_lattices(X1,X2,X3) != X3
| r1_lattices(X1,X2,X3) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(217,plain,
! [X4] :
( v3_struct_0(X4)
| ~ l2_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r1_lattices(X4,X5,X6)
| k1_lattices(X4,X5,X6) = X6 )
& ( k1_lattices(X4,X5,X6) != X6
| r1_lattices(X4,X5,X6) ) ) ) ) ),
inference(variable_rename,[status(thm)],[216]) ).
fof(218,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| ( ( ~ r1_lattices(X4,X5,X6)
| k1_lattices(X4,X5,X6) = X6 )
& ( k1_lattices(X4,X5,X6) != X6
| r1_lattices(X4,X5,X6) ) )
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) ),
inference(shift_quantors,[status(thm)],[217]) ).
fof(219,plain,
! [X4,X5,X6] :
( ( ~ r1_lattices(X4,X5,X6)
| k1_lattices(X4,X5,X6) = X6
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) )
& ( k1_lattices(X4,X5,X6) != X6
| r1_lattices(X4,X5,X6)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l2_lattices(X4) ) ),
inference(distribute,[status(thm)],[218]) ).
cnf(220,plain,
( v3_struct_0(X1)
| r1_lattices(X1,X2,X3)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| k1_lattices(X1,X2,X3) != X3 ),
inference(split_conjunct,[status(thm)],[219]) ).
cnf(221,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = X3
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ r1_lattices(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[219]) ).
fof(251,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l1_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| ! [X3] :
( ~ m1_subset_1(X3,u1_struct_0(X1))
| k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3) ) ) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(252,plain,
! [X4] :
( v3_struct_0(X4)
| ~ l1_lattices(X4)
| ! [X5] :
( ~ m1_subset_1(X5,u1_struct_0(X4))
| ! [X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u1_lattices(X4),X5,X6) ) ) ),
inference(variable_rename,[status(thm)],[251]) ).
fof(253,plain,
! [X4,X5,X6] :
( ~ m1_subset_1(X6,u1_struct_0(X4))
| k2_lattices(X4,X5,X6) = k2_binop_1(u1_struct_0(X4),u1_struct_0(X4),u1_struct_0(X4),u1_lattices(X4),X5,X6)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| v3_struct_0(X4)
| ~ l1_lattices(X4) ),
inference(shift_quantors,[status(thm)],[252]) ).
cnf(254,plain,
( v3_struct_0(X1)
| k2_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u1_lattices(X1),X2,X3)
| ~ l1_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[253]) ).
fof(277,plain,
! [X1] :
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[55]) ).
fof(278,plain,
! [X2] :
( ~ l2_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[277]) ).
cnf(279,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[278]) ).
fof(284,plain,
! [X1] :
( ~ l1_lattices(X1)
| l1_struct_0(X1) ),
inference(fof_nnf,[status(thm)],[57]) ).
fof(285,plain,
! [X2] :
( ~ l1_lattices(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[284]) ).
cnf(286,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[285]) ).
fof(326,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& l3_lattices(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& l3_lattices(X2)
& g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
& ? [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& ? [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
& ? [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
& X3 = X5
& X4 = X6
& ( k1_lattices(X1,X3,X4) != k1_lattices(X2,X5,X6)
| k2_lattices(X1,X3,X4) != k2_lattices(X2,X5,X6)
| ( r1_lattices(X1,X3,X4)
& ~ r1_lattices(X2,X5,X6) )
| ( r1_lattices(X2,X5,X6)
& ~ r1_lattices(X1,X3,X4) ) ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(327,negated_conjecture,
? [X7] :
( ~ v3_struct_0(X7)
& l3_lattices(X7)
& ? [X8] :
( ~ v3_struct_0(X8)
& l3_lattices(X8)
& g3_lattices(u1_struct_0(X7),u2_lattices(X7),u1_lattices(X7)) = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
& ? [X9] :
( m1_subset_1(X9,u1_struct_0(X7))
& ? [X10] :
( m1_subset_1(X10,u1_struct_0(X7))
& ? [X11] :
( m1_subset_1(X11,u1_struct_0(X8))
& ? [X12] :
( m1_subset_1(X12,u1_struct_0(X8))
& X9 = X11
& X10 = X12
& ( k1_lattices(X7,X9,X10) != k1_lattices(X8,X11,X12)
| k2_lattices(X7,X9,X10) != k2_lattices(X8,X11,X12)
| ( r1_lattices(X7,X9,X10)
& ~ r1_lattices(X8,X11,X12) )
| ( r1_lattices(X8,X11,X12)
& ~ r1_lattices(X7,X9,X10) ) ) ) ) ) ) ) ),
inference(variable_rename,[status(thm)],[326]) ).
fof(328,negated_conjecture,
( ~ v3_struct_0(esk20_0)
& l3_lattices(esk20_0)
& ~ v3_struct_0(esk21_0)
& l3_lattices(esk21_0)
& g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) = g3_lattices(u1_struct_0(esk21_0),u2_lattices(esk21_0),u1_lattices(esk21_0))
& m1_subset_1(esk22_0,u1_struct_0(esk20_0))
& m1_subset_1(esk23_0,u1_struct_0(esk20_0))
& m1_subset_1(esk24_0,u1_struct_0(esk21_0))
& m1_subset_1(esk25_0,u1_struct_0(esk21_0))
& esk22_0 = esk24_0
& esk23_0 = esk25_0
& ( k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0)
| ( r1_lattices(esk20_0,esk22_0,esk23_0)
& ~ r1_lattices(esk21_0,esk24_0,esk25_0) )
| ( r1_lattices(esk21_0,esk24_0,esk25_0)
& ~ r1_lattices(esk20_0,esk22_0,esk23_0) ) ) ),
inference(skolemize,[status(esa)],[327]) ).
fof(329,negated_conjecture,
( ~ v3_struct_0(esk20_0)
& l3_lattices(esk20_0)
& ~ v3_struct_0(esk21_0)
& l3_lattices(esk21_0)
& g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) = g3_lattices(u1_struct_0(esk21_0),u2_lattices(esk21_0),u1_lattices(esk21_0))
& m1_subset_1(esk22_0,u1_struct_0(esk20_0))
& m1_subset_1(esk23_0,u1_struct_0(esk20_0))
& m1_subset_1(esk24_0,u1_struct_0(esk21_0))
& m1_subset_1(esk25_0,u1_struct_0(esk21_0))
& esk22_0 = esk24_0
& esk23_0 = esk25_0
& ( r1_lattices(esk21_0,esk24_0,esk25_0)
| r1_lattices(esk20_0,esk22_0,esk23_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0) )
& ( ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| r1_lattices(esk20_0,esk22_0,esk23_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0) )
& ( r1_lattices(esk21_0,esk24_0,esk25_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0) )
& ( ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0) ) ),
inference(distribute,[status(thm)],[328]) ).
cnf(330,negated_conjecture,
( k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk23_0) ),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(333,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk23_0)
| r1_lattices(esk21_0,esk24_0,esk25_0)
| k2_lattices(esk20_0,esk22_0,esk23_0) != k2_lattices(esk21_0,esk24_0,esk25_0)
| k1_lattices(esk20_0,esk22_0,esk23_0) != k1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(334,negated_conjecture,
esk23_0 = esk25_0,
inference(split_conjunct,[status(thm)],[329]) ).
cnf(335,negated_conjecture,
esk22_0 = esk24_0,
inference(split_conjunct,[status(thm)],[329]) ).
cnf(338,negated_conjecture,
m1_subset_1(esk23_0,u1_struct_0(esk20_0)),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(339,negated_conjecture,
m1_subset_1(esk22_0,u1_struct_0(esk20_0)),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(340,negated_conjecture,
g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) = g3_lattices(u1_struct_0(esk21_0),u2_lattices(esk21_0),u1_lattices(esk21_0)),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(341,negated_conjecture,
l3_lattices(esk21_0),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(342,negated_conjecture,
~ v3_struct_0(esk21_0),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(343,negated_conjecture,
l3_lattices(esk20_0),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(344,negated_conjecture,
~ v3_struct_0(esk20_0),
inference(split_conjunct,[status(thm)],[329]) ).
cnf(357,negated_conjecture,
m1_subset_1(esk25_0,u1_struct_0(esk20_0)),
inference(rw,[status(thm)],[338,334,theory(equality)]) ).
cnf(359,negated_conjecture,
l2_lattices(esk20_0),
inference(spm,[status(thm)],[156,343,theory(equality)]) ).
cnf(360,negated_conjecture,
l2_lattices(esk21_0),
inference(spm,[status(thm)],[156,341,theory(equality)]) ).
cnf(374,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[181,286,theory(equality)]) ).
cnf(375,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[181,279,theory(equality)]) ).
cnf(397,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk24_0,esk25_0)
| k1_lattices(esk21_0,esk24_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk23_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0) ),
inference(rw,[status(thm)],[333,334,theory(equality)]) ).
cnf(398,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk24_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk23_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0) ),
inference(rw,[status(thm)],[397,335,theory(equality)]) ).
cnf(399,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk23_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0) ),
inference(rw,[status(thm)],[398,335,theory(equality)]) ).
cnf(400,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0) ),
inference(rw,[status(thm)],[399,334,theory(equality)]) ).
cnf(401,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0) ),
inference(rw,[status(thm)],[400,335,theory(equality)]) ).
cnf(402,negated_conjecture,
( r1_lattices(esk20_0,esk22_0,esk25_0)
| r1_lattices(esk21_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk25_0) ),
inference(rw,[status(thm)],[401,334,theory(equality)]) ).
cnf(410,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[134,105,theory(equality)]) ).
cnf(411,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[134,111,theory(equality)]) ).
cnf(416,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk23_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(rw,[status(thm)],[330,335,theory(equality)]) ).
cnf(417,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk24_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(rw,[status(thm)],[416,334,theory(equality)]) ).
cnf(418,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(rw,[status(thm)],[417,335,theory(equality)]) ).
cnf(419,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk23_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(rw,[status(thm)],[418,334,theory(equality)]) ).
cnf(420,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk24_0,esk25_0) ),
inference(rw,[status(thm)],[419,334,theory(equality)]) ).
cnf(421,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k2_lattices(esk21_0,esk22_0,esk25_0) != k2_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk22_0,esk25_0) ),
inference(rw,[status(thm)],[420,335,theory(equality)]) ).
cnf(429,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u1_lattices(X1)) ),
inference(spm,[status(thm)],[254,116,theory(equality)]) ).
cnf(430,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u2_lattices(X1)) ),
inference(spm,[status(thm)],[142,116,theory(equality)]) ).
cnf(436,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X4,X2,X5)
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_1(X3)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[165,112,theory(equality)]) ).
cnf(440,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(u2_lattices(X1))
| ~ v1_funct_1(X3)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[166,112,theory(equality)]) ).
cnf(442,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ m1_relset_1(u2_lattices(X3),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(u2_lattices(X3))
| ~ v1_funct_1(X1)
| ~ l2_lattices(X3) ),
inference(spm,[status(thm)],[164,112,theory(equality)]) ).
cnf(874,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[429,107]) ).
cnf(875,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[874,106]) ).
cnf(876,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[875,410]) ).
cnf(877,plain,
( k1_binop_1(u1_lattices(X1),X2,X3) = k2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[876,374]) ).
cnf(919,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(csr,[status(thm)],[430,113]) ).
cnf(920,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[919,112]) ).
cnf(921,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v1_xboole_0(u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[920,411]) ).
cnf(922,plain,
( k1_binop_1(u2_lattices(X1),X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(csr,[status(thm)],[921,375]) ).
cnf(1165,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X4,X2,X5)
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[436,113]) ).
cnf(1166,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X4,X2,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1165,411]) ).
cnf(1167,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[1166,106,theory(equality)]) ).
cnf(1270,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[440,113]) ).
cnf(1271,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[1270,411]) ).
cnf(1272,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[1271,106,theory(equality)]) ).
cnf(1328,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ m1_relset_1(u2_lattices(X3),k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ l2_lattices(X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[442,113]) ).
cnf(1329,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ l2_lattices(X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[1328,411]) ).
cnf(1330,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[1329,106,theory(equality)]) ).
cnf(7169,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[1167,107]) ).
cnf(7170,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[7169,410]) ).
cnf(7172,negated_conjecture,
( u2_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X1,X3)
| ~ l2_lattices(esk21_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[7170,340,theory(equality)]) ).
cnf(7179,negated_conjecture,
( u2_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X1,X3)
| $false
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[7172,360,theory(equality)]) ).
cnf(7180,negated_conjecture,
( u2_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X1,X3)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[7179,theory(equality)]) ).
cnf(7211,negated_conjecture,
( u2_lattices(esk21_0) = u2_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(er,[status(thm)],[7180,theory(equality)]) ).
cnf(7226,negated_conjecture,
( k1_binop_1(u2_lattices(esk20_0),X1,X2) = k1_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l2_lattices(esk21_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[922,7211,theory(equality)]) ).
cnf(7270,negated_conjecture,
( k1_binop_1(u2_lattices(esk20_0),X1,X2) = k1_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| $false
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[7226,360,theory(equality)]) ).
cnf(7271,negated_conjecture,
( k1_binop_1(u2_lattices(esk20_0),X1,X2) = k1_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[7270,theory(equality)]) ).
cnf(7272,negated_conjecture,
( k1_binop_1(u2_lattices(esk20_0),X1,X2) = k1_lattices(esk21_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[7271,342,theory(equality)]) ).
cnf(7349,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| v3_struct_0(esk20_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l2_lattices(esk20_0)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[922,7272,theory(equality)]) ).
cnf(7353,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| v3_struct_0(esk20_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| $false
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[7349,359,theory(equality)]) ).
cnf(7354,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| v3_struct_0(esk20_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[7353,theory(equality)]) ).
cnf(7355,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[7354,344,theory(equality)]) ).
cnf(9211,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[1272,107]) ).
cnf(9212,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[9211,410]) ).
cnf(9214,negated_conjecture,
( u1_struct_0(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(esk21_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[9212,340,theory(equality)]) ).
cnf(9227,negated_conjecture,
( u1_struct_0(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X1,X2,X3)
| $false
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[9214,360,theory(equality)]) ).
cnf(9228,negated_conjecture,
( u1_struct_0(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X1,X2,X3)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[9227,theory(equality)]) ).
cnf(9243,negated_conjecture,
( u1_struct_0(esk21_0) = u1_struct_0(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(er,[status(thm)],[9228,theory(equality)]) ).
cnf(9251,negated_conjecture,
( u1_struct_0(esk21_0) = u1_struct_0(esk20_0)
| ~ l3_lattices(esk21_0) ),
inference(spm,[status(thm)],[9243,157,theory(equality)]) ).
cnf(9252,negated_conjecture,
( u1_struct_0(esk21_0) = u1_struct_0(esk20_0)
| $false ),
inference(rw,[status(thm)],[9251,341,theory(equality)]) ).
cnf(9253,negated_conjecture,
u1_struct_0(esk21_0) = u1_struct_0(esk20_0),
inference(cn,[status(thm)],[9252,theory(equality)]) ).
cnf(9356,negated_conjecture,
g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk21_0),u1_lattices(esk21_0)) = g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)),
inference(rw,[status(thm)],[340,9253,theory(equality)]) ).
cnf(9481,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[7355,9253,theory(equality)]) ).
cnf(9482,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[9481,9253,theory(equality)]) ).
cnf(9483,negated_conjecture,
( k1_lattices(esk21_0,X1,X2) = k1_lattices(esk20_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[9482,theory(equality)]) ).
cnf(13835,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[1330,107]) ).
cnf(13836,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[13835,410]) ).
cnf(13838,negated_conjecture,
( u1_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk21_0),u1_lattices(esk21_0)) != g3_lattices(X2,X3,X1)
| ~ l2_lattices(esk21_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[13836,9253,theory(equality)]) ).
cnf(13864,negated_conjecture,
( u1_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X3,X1)
| ~ l2_lattices(esk21_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[13838,9356,theory(equality)]) ).
cnf(13865,negated_conjecture,
( u1_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X3,X1)
| $false
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[13864,360,theory(equality)]) ).
cnf(13866,negated_conjecture,
( u1_lattices(esk21_0) = X1
| g3_lattices(u1_struct_0(esk20_0),u2_lattices(esk20_0),u1_lattices(esk20_0)) != g3_lattices(X2,X3,X1)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[13865,theory(equality)]) ).
cnf(14266,negated_conjecture,
( u1_lattices(esk21_0) = u1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(er,[status(thm)],[13866,theory(equality)]) ).
cnf(14282,negated_conjecture,
( k1_binop_1(u1_lattices(esk20_0),X1,X2) = k2_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk21_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[877,14266,theory(equality)]) ).
cnf(14393,negated_conjecture,
( k1_binop_1(u1_lattices(esk20_0),X1,X2) = k2_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk21_0))
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[14282,9253,theory(equality)]) ).
cnf(14394,negated_conjecture,
( k1_binop_1(u1_lattices(esk20_0),X1,X2) = k2_lattices(esk21_0,X1,X2)
| v3_struct_0(esk21_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[14393,9253,theory(equality)]) ).
cnf(14395,negated_conjecture,
( k1_binop_1(u1_lattices(esk20_0),X1,X2) = k2_lattices(esk21_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[14394,342,theory(equality)]) ).
cnf(15254,negated_conjecture,
( k2_lattices(esk21_0,X1,X2) = k2_lattices(esk20_0,X1,X2)
| v3_struct_0(esk20_0)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[877,14395,theory(equality)]) ).
cnf(15262,negated_conjecture,
( k2_lattices(esk21_0,X1,X2) = k2_lattices(esk20_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(esk20_0))
| ~ m1_subset_1(X1,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[15254,344,theory(equality)]) ).
cnf(15269,negated_conjecture,
( r1_lattices(esk21_0,esk22_0,esk25_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[402,15262,theory(equality)]) ).
cnf(15271,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk22_0,esk25_0)
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[421,15262,theory(equality)]) ).
cnf(15275,negated_conjecture,
( r1_lattices(esk21_0,esk22_0,esk25_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15269,357,theory(equality)]) ).
cnf(15276,negated_conjecture,
( r1_lattices(esk21_0,esk22_0,esk25_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| $false
| $false
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15275,339,theory(equality)]) ).
cnf(15277,negated_conjecture,
( r1_lattices(esk21_0,esk22_0,esk25_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15276,theory(equality)]) ).
cnf(15283,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk22_0,esk25_0)
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15271,357,theory(equality)]) ).
cnf(15284,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk22_0,esk25_0)
| $false
| $false
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15283,339,theory(equality)]) ).
cnf(15285,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk21_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15284,theory(equality)]) ).
cnf(15291,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk21_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ m1_subset_1(esk25_0,u1_struct_0(esk21_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk21_0))
| ~ l2_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[221,15277,theory(equality)]) ).
cnf(15292,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk21_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk21_0))
| ~ l2_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15291,9253,theory(equality)]),357,theory(equality)]) ).
cnf(15293,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk21_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| $false
| $false
| ~ l2_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15292,9253,theory(equality)]),339,theory(equality)]) ).
cnf(15294,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk21_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| $false
| $false
| $false
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15293,360,theory(equality)]) ).
cnf(15295,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk21_0)
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15294,theory(equality)]) ).
cnf(15296,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| r1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[15295,342,theory(equality)]) ).
cnf(15325,negated_conjecture,
( v3_struct_0(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ m1_subset_1(esk25_0,u1_struct_0(esk21_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk21_0))
| ~ l2_lattices(esk21_0) ),
inference(spm,[status(thm)],[15285,220,theory(equality)]) ).
cnf(15327,negated_conjecture,
( v3_struct_0(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk21_0))
| ~ l2_lattices(esk21_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15325,9253,theory(equality)]),357,theory(equality)]) ).
cnf(15328,negated_conjecture,
( v3_struct_0(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| $false
| $false
| ~ l2_lattices(esk21_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[15327,9253,theory(equality)]),339,theory(equality)]) ).
cnf(15329,negated_conjecture,
( v3_struct_0(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15328,360,theory(equality)]) ).
cnf(15330,negated_conjecture,
( v3_struct_0(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0 ),
inference(cn,[status(thm)],[15329,theory(equality)]) ).
cnf(15331,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ r1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0 ),
inference(sr,[status(thm)],[15330,342,theory(equality)]) ).
cnf(15336,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l2_lattices(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(spm,[status(thm)],[221,15296,theory(equality)]) ).
cnf(15337,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l2_lattices(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15336,357,theory(equality)]) ).
cnf(15338,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| $false
| $false
| ~ l2_lattices(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15337,339,theory(equality)]) ).
cnf(15339,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| $false
| $false
| $false
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(rw,[status(thm)],[15338,359,theory(equality)]) ).
cnf(15340,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15339,theory(equality)]) ).
cnf(15341,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| k1_lattices(esk21_0,esk22_0,esk25_0) = esk25_0
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(sr,[status(thm)],[15340,344,theory(equality)]) ).
cnf(15342,negated_conjecture,
( v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l2_lattices(esk20_0) ),
inference(spm,[status(thm)],[15331,220,theory(equality)]) ).
cnf(15344,negated_conjecture,
( v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0))
| ~ l2_lattices(esk20_0) ),
inference(rw,[status(thm)],[15342,357,theory(equality)]) ).
cnf(15345,negated_conjecture,
( v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| $false
| $false
| ~ l2_lattices(esk20_0) ),
inference(rw,[status(thm)],[15344,339,theory(equality)]) ).
cnf(15346,negated_conjecture,
( v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| $false
| $false
| $false ),
inference(rw,[status(thm)],[15345,359,theory(equality)]) ).
cnf(15347,negated_conjecture,
( v3_struct_0(esk20_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0 ),
inference(cn,[status(thm)],[15346,theory(equality)]) ).
cnf(15348,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0 ),
inference(sr,[status(thm)],[15347,344,theory(equality)]) ).
cnf(15439,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0)) ),
inference(spm,[status(thm)],[15341,9483,theory(equality)]) ).
cnf(15440,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0)) ),
inference(rw,[status(thm)],[15439,357,theory(equality)]) ).
cnf(15441,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[15440,339,theory(equality)]) ).
cnf(15442,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) = esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15441,theory(equality)]) ).
cnf(15474,negated_conjecture,
( k1_lattices(esk21_0,esk22_0,esk25_0) != k1_lattices(esk20_0,esk22_0,esk25_0)
| k1_lattices(esk21_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(csr,[status(thm)],[15348,15442]) ).
cnf(15475,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| ~ m1_subset_1(esk25_0,u1_struct_0(esk20_0))
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0)) ),
inference(spm,[status(thm)],[15474,9483,theory(equality)]) ).
cnf(15476,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| $false
| ~ m1_subset_1(esk22_0,u1_struct_0(esk20_0)) ),
inference(rw,[status(thm)],[15475,357,theory(equality)]) ).
cnf(15477,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0)
| $false
| $false ),
inference(rw,[status(thm)],[15476,339,theory(equality)]) ).
cnf(15478,negated_conjecture,
( k1_lattices(esk20_0,esk22_0,esk25_0) != esk25_0
| ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(cn,[status(thm)],[15477,theory(equality)]) ).
cnf(15479,negated_conjecture,
( ~ l1_lattices(esk20_0)
| ~ l1_lattices(esk21_0) ),
inference(csr,[status(thm)],[15478,15442]) ).
cnf(15480,negated_conjecture,
( ~ l1_lattices(esk20_0)
| ~ l3_lattices(esk21_0) ),
inference(spm,[status(thm)],[15479,157,theory(equality)]) ).
cnf(15481,negated_conjecture,
( ~ l1_lattices(esk20_0)
| $false ),
inference(rw,[status(thm)],[15480,341,theory(equality)]) ).
cnf(15482,negated_conjecture,
~ l1_lattices(esk20_0),
inference(cn,[status(thm)],[15481,theory(equality)]) ).
cnf(15483,negated_conjecture,
~ l3_lattices(esk20_0),
inference(spm,[status(thm)],[15482,157,theory(equality)]) ).
cnf(15484,negated_conjecture,
$false,
inference(rw,[status(thm)],[15483,343,theory(equality)]) ).
cnf(15485,negated_conjecture,
$false,
inference(cn,[status(thm)],[15484,theory(equality)]) ).
cnf(15486,negated_conjecture,
$false,
15485,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT295+1.p
% --creating new selector for []
% -running prover on /tmp/tmpma-njb/sel_LAT295+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT295+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT295+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT295+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
%
%------------------------------------------------------------------------------