TSTP Solution File: LAT331+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT331+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 15:21:32 EST 2010
% Result : Theorem 6.23s
% Output : CNFRefutation 6.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 10
% Syntax : Number of formulae : 161 ( 22 unt; 0 def)
% Number of atoms : 1023 ( 200 equ)
% Maximal formula atoms : 98 ( 6 avg)
% Number of connectives : 1404 ( 542 ~; 604 |; 221 &)
% ( 5 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 311 ( 52 sgn 126 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(3,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/tmpwJQZQC/sel_LAT331+1.p_1',dt_u1_lattices) ).
fof(5,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/tmpwJQZQC/sel_LAT331+1.p_1',dt_u2_lattices) ).
fof(12,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',redefinition_m2_relset_1) ).
fof(16,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',dt_l3_lattices) ).
fof(17,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',d10_filter_0) ).
fof(18,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/tmpwJQZQC/sel_LAT331+1.p_1',free_g3_lattices) ).
fof(22,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/tmpwJQZQC/sel_LAT331+1.p_1',redefinition_m1_filter_2) ).
fof(29,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',fc2_filter_0) ).
fof(51,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,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 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',t68_filter_2) ).
fof(59,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
file('/tmp/tmpwJQZQC/sel_LAT331+1.p_1',dt_k8_filter_0) ).
fof(79,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,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 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(assume_negation,[status(cth)],[51]) ).
fof(84,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v10_lattices(X3)
& l3_lattices(X3) )
=> ( X3 = k8_filter_0(X1,X2)
<=> ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[17,theory(equality)]) ).
fof(87,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)],[22,theory(equality)]) ).
fof(90,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(96,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ! [X3] :
( m1_filter_2(X3,X1)
=> ! [X4] :
( m1_filter_2(X4,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 = X4 )
=> k8_filter_0(X1,X3) = k8_filter_0(X2,X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[79,theory(equality)]) ).
fof(100,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,X1) )
=> ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[59,theory(equality)]) ).
fof(113,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)],[3]) ).
fof(114,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)],[113]) ).
fof(115,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)],[114]) ).
cnf(116,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)],[115]) ).
cnf(117,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)],[115]) ).
cnf(118,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[115]) ).
fof(123,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)],[5]) ).
fof(124,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)],[123]) ).
fof(125,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)],[124]) ).
cnf(126,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)],[125]) ).
cnf(127,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)],[125]) ).
cnf(128,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[125]) ).
fof(154,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)],[12]) ).
fof(155,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)],[154]) ).
cnf(157,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[155]) ).
fof(169,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[16]) ).
fof(170,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[169]) ).
fof(171,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[170]) ).
cnf(172,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
cnf(173,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[171]) ).
fof(174,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| ! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ( ( X3 != k8_filter_0(X1,X2)
| ? [X4] :
( v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& ? [X5] :
( v1_funct_1(X5)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X3 = g3_lattices(X2,X4,X5) ) ) )
& ( ! [X4] :
( ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
| ! [X5] :
( ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
| ~ m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
| X4 != k1_realset1(u2_lattices(X1),X2)
| X5 != k1_realset1(u1_lattices(X1),X2)
| X3 != g3_lattices(X2,X4,X5) ) )
| X3 = k8_filter_0(X1,X2) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[84]) ).
fof(175,plain,
! [X6] :
( v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ! [X7] :
( ~ m1_filter_0(X7,X6)
| ! [X8] :
( v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ( ( X8 != k8_filter_0(X6,X7)
| ? [X9] :
( v1_funct_1(X9)
& v1_funct_2(X9,k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(X9,k2_zfmisc_1(X7,X7),X7)
& ? [X10] :
( v1_funct_1(X10)
& v1_funct_2(X10,k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(X10,k2_zfmisc_1(X7,X7),X7)
& X9 = k1_realset1(u2_lattices(X6),X7)
& X10 = k1_realset1(u1_lattices(X6),X7)
& X8 = g3_lattices(X7,X9,X10) ) ) )
& ( ! [X11] :
( ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| ! [X12] :
( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12) ) )
| X8 = k8_filter_0(X6,X7) ) ) ) ) ),
inference(variable_rename,[status(thm)],[174]) ).
fof(176,plain,
! [X6] :
( v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6)
| ! [X7] :
( ~ m1_filter_0(X7,X6)
| ! [X8] :
( v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ( ( X8 != k8_filter_0(X6,X7)
| ( v1_funct_1(esk6_3(X6,X7,X8))
& v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& v1_funct_1(esk7_3(X6,X7,X8))
& v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& esk6_3(X6,X7,X8) = k1_realset1(u2_lattices(X6),X7)
& esk7_3(X6,X7,X8) = k1_realset1(u1_lattices(X6),X7)
& X8 = g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8)) ) )
& ( ! [X11] :
( ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| ! [X12] :
( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12) ) )
| X8 = k8_filter_0(X6,X7) ) ) ) ) ),
inference(skolemize,[status(esa)],[175]) ).
fof(177,plain,
! [X6,X7,X8,X11,X12] :
( ( ( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| X8 = k8_filter_0(X6,X7) )
& ( X8 != k8_filter_0(X6,X7)
| ( v1_funct_1(esk6_3(X6,X7,X8))
& v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& v1_funct_1(esk7_3(X6,X7,X8))
& v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
& esk6_3(X6,X7,X8) = k1_realset1(u2_lattices(X6),X7)
& esk7_3(X6,X7,X8) = k1_realset1(u1_lattices(X6),X7)
& X8 = g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8)) ) ) )
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) ),
inference(shift_quantors,[status(thm)],[176]) ).
fof(178,plain,
! [X6,X7,X8,X11,X12] :
( ( ~ v1_funct_1(X12)
| ~ v1_funct_2(X12,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X12,k2_zfmisc_1(X7,X7),X7)
| X11 != k1_realset1(u2_lattices(X6),X7)
| X12 != k1_realset1(u1_lattices(X6),X7)
| X8 != g3_lattices(X7,X11,X12)
| ~ v1_funct_1(X11)
| ~ v1_funct_2(X11,k2_zfmisc_1(X7,X7),X7)
| ~ m2_relset_1(X11,k2_zfmisc_1(X7,X7),X7)
| X8 = k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_1(esk6_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk6_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_1(esk7_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( v1_funct_2(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( m2_relset_1(esk7_3(X6,X7,X8),k2_zfmisc_1(X7,X7),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk6_3(X6,X7,X8) = k1_realset1(u2_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( esk7_3(X6,X7,X8) = k1_realset1(u1_lattices(X6),X7)
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) )
& ( X8 = g3_lattices(X7,esk6_3(X6,X7,X8),esk7_3(X6,X7,X8))
| X8 != k8_filter_0(X6,X7)
| v3_struct_0(X8)
| ~ v10_lattices(X8)
| ~ l3_lattices(X8)
| ~ m1_filter_0(X7,X6)
| v3_struct_0(X6)
| ~ v10_lattices(X6)
| ~ l3_lattices(X6) ) ),
inference(distribute,[status(thm)],[177]) ).
cnf(179,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| X3 = g3_lattices(X2,esk6_3(X1,X2,X3),esk7_3(X1,X2,X3))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(180,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk7_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[178]) ).
cnf(181,plain,
( v3_struct_0(X1)
| v3_struct_0(X3)
| esk6_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| X3 != k8_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[178]) ).
fof(189,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)],[18]) ).
fof(190,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)],[189]) ).
fof(191,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)],[190]) ).
fof(192,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)],[191]) ).
cnf(193,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)],[192]) ).
cnf(194,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)],[192]) ).
cnf(195,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)],[192]) ).
fof(218,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)],[87]) ).
fof(219,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)],[218]) ).
fof(220,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)],[219]) ).
fof(221,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)],[220]) ).
cnf(223,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)],[221]) ).
fof(250,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v3_lattices(k8_filter_0(X1,X2))
& v4_lattices(k8_filter_0(X1,X2))
& v5_lattices(k8_filter_0(X1,X2))
& v6_lattices(k8_filter_0(X1,X2))
& v7_lattices(k8_filter_0(X1,X2))
& v8_lattices(k8_filter_0(X1,X2))
& v9_lattices(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[90]) ).
fof(251,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3)
| ( ~ v3_struct_0(k8_filter_0(X3,X4))
& v3_lattices(k8_filter_0(X3,X4))
& v4_lattices(k8_filter_0(X3,X4))
& v5_lattices(k8_filter_0(X3,X4))
& v6_lattices(k8_filter_0(X3,X4))
& v7_lattices(k8_filter_0(X3,X4))
& v8_lattices(k8_filter_0(X3,X4))
& v9_lattices(k8_filter_0(X3,X4))
& v10_lattices(k8_filter_0(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[250]) ).
fof(252,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v4_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v5_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v6_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v7_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v8_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v9_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[251]) ).
cnf(253,plain,
( v3_struct_0(X2)
| v10_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[252]) ).
cnf(261,plain,
( v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ v3_struct_0(k8_filter_0(X2,X1)) ),
inference(split_conjunct,[status(thm)],[252]) ).
fof(334,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ? [X2] :
( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2)
& ? [X3] :
( m1_filter_2(X3,X1)
& ? [X4] :
( m1_filter_2(X4,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 = X4
& k8_filter_0(X1,X3) != k8_filter_0(X2,X4) ) ) ) ),
inference(fof_nnf,[status(thm)],[96]) ).
fof(335,negated_conjecture,
? [X5] :
( ~ v3_struct_0(X5)
& v10_lattices(X5)
& l3_lattices(X5)
& ? [X6] :
( ~ v3_struct_0(X6)
& v10_lattices(X6)
& l3_lattices(X6)
& ? [X7] :
( m1_filter_2(X7,X5)
& ? [X8] :
( m1_filter_2(X8,X6)
& g3_lattices(u1_struct_0(X5),u2_lattices(X5),u1_lattices(X5)) = g3_lattices(u1_struct_0(X6),u2_lattices(X6),u1_lattices(X6))
& X7 = X8
& k8_filter_0(X5,X7) != k8_filter_0(X6,X8) ) ) ) ),
inference(variable_rename,[status(thm)],[334]) ).
fof(336,negated_conjecture,
( ~ v3_struct_0(esk18_0)
& v10_lattices(esk18_0)
& l3_lattices(esk18_0)
& ~ v3_struct_0(esk19_0)
& v10_lattices(esk19_0)
& l3_lattices(esk19_0)
& m1_filter_2(esk20_0,esk18_0)
& m1_filter_2(esk21_0,esk19_0)
& g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)) = g3_lattices(u1_struct_0(esk19_0),u2_lattices(esk19_0),u1_lattices(esk19_0))
& esk20_0 = esk21_0
& k8_filter_0(esk18_0,esk20_0) != k8_filter_0(esk19_0,esk21_0) ),
inference(skolemize,[status(esa)],[335]) ).
cnf(337,negated_conjecture,
k8_filter_0(esk18_0,esk20_0) != k8_filter_0(esk19_0,esk21_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(338,negated_conjecture,
esk20_0 = esk21_0,
inference(split_conjunct,[status(thm)],[336]) ).
cnf(339,negated_conjecture,
g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)) = g3_lattices(u1_struct_0(esk19_0),u2_lattices(esk19_0),u1_lattices(esk19_0)),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(340,negated_conjecture,
m1_filter_2(esk21_0,esk19_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(341,negated_conjecture,
m1_filter_2(esk20_0,esk18_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(342,negated_conjecture,
l3_lattices(esk19_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(343,negated_conjecture,
v10_lattices(esk19_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(344,negated_conjecture,
~ v3_struct_0(esk19_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(345,negated_conjecture,
l3_lattices(esk18_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(346,negated_conjecture,
v10_lattices(esk18_0),
inference(split_conjunct,[status(thm)],[336]) ).
cnf(347,negated_conjecture,
~ v3_struct_0(esk18_0),
inference(split_conjunct,[status(thm)],[336]) ).
fof(374,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,X1)
| ( ~ v3_struct_0(k8_filter_0(X1,X2))
& v10_lattices(k8_filter_0(X1,X2))
& l3_lattices(k8_filter_0(X1,X2)) ) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(375,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3)
| ( ~ v3_struct_0(k8_filter_0(X3,X4))
& v10_lattices(k8_filter_0(X3,X4))
& l3_lattices(k8_filter_0(X3,X4)) ) ),
inference(variable_rename,[status(thm)],[374]) ).
fof(376,plain,
! [X3,X4] :
( ( ~ v3_struct_0(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( v10_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) )
& ( l3_lattices(k8_filter_0(X3,X4))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,X3) ) ),
inference(distribute,[status(thm)],[375]) ).
cnf(377,plain,
( v3_struct_0(X2)
| l3_lattices(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(split_conjunct,[status(thm)],[376]) ).
cnf(454,negated_conjecture,
m1_filter_2(esk20_0,esk19_0),
inference(rw,[status(thm)],[340,338,theory(equality)]) ).
cnf(458,negated_conjecture,
k8_filter_0(esk19_0,esk20_0) != k8_filter_0(esk18_0,esk20_0),
inference(rw,[status(thm)],[337,338,theory(equality)]) ).
cnf(489,negated_conjecture,
( m1_filter_0(esk20_0,esk18_0)
| v3_struct_0(esk18_0)
| ~ v10_lattices(esk18_0)
| ~ l3_lattices(esk18_0) ),
inference(spm,[status(thm)],[223,341,theory(equality)]) ).
cnf(490,negated_conjecture,
( m1_filter_0(esk20_0,esk19_0)
| v3_struct_0(esk19_0)
| ~ v10_lattices(esk19_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[223,454,theory(equality)]) ).
cnf(492,negated_conjecture,
( m1_filter_0(esk20_0,esk18_0)
| v3_struct_0(esk18_0)
| $false
| ~ l3_lattices(esk18_0) ),
inference(rw,[status(thm)],[489,346,theory(equality)]) ).
cnf(493,negated_conjecture,
( m1_filter_0(esk20_0,esk18_0)
| v3_struct_0(esk18_0)
| $false
| $false ),
inference(rw,[status(thm)],[492,345,theory(equality)]) ).
cnf(494,negated_conjecture,
( m1_filter_0(esk20_0,esk18_0)
| v3_struct_0(esk18_0) ),
inference(cn,[status(thm)],[493,theory(equality)]) ).
cnf(495,negated_conjecture,
m1_filter_0(esk20_0,esk18_0),
inference(sr,[status(thm)],[494,347,theory(equality)]) ).
cnf(496,negated_conjecture,
( m1_filter_0(esk20_0,esk19_0)
| v3_struct_0(esk19_0)
| $false
| ~ l3_lattices(esk19_0) ),
inference(rw,[status(thm)],[490,343,theory(equality)]) ).
cnf(497,negated_conjecture,
( m1_filter_0(esk20_0,esk19_0)
| v3_struct_0(esk19_0)
| $false
| $false ),
inference(rw,[status(thm)],[496,342,theory(equality)]) ).
cnf(498,negated_conjecture,
( m1_filter_0(esk20_0,esk19_0)
| v3_struct_0(esk19_0) ),
inference(cn,[status(thm)],[497,theory(equality)]) ).
cnf(499,negated_conjecture,
m1_filter_0(esk20_0,esk19_0),
inference(sr,[status(thm)],[498,344,theory(equality)]) ).
cnf(553,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)],[157,116,theory(equality)]) ).
cnf(554,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)],[157,126,theory(equality)]) ).
cnf(583,plain,
( g3_lattices(X1,esk6_3(X2,X1,X3),k1_realset1(u1_lattices(X2),X1)) = X3
| v3_struct_0(X2)
| v3_struct_0(X3)
| k8_filter_0(X2,X1) != X3
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[179,180,theory(equality)]) ).
cnf(846,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))
| ~ v1_funct_2(u2_lattices(X1),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)],[194,554,theory(equality)]) ).
cnf(847,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))
| ~ v1_funct_2(u2_lattices(X1),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)],[195,554,theory(equality)]) ).
cnf(848,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))
| ~ v1_funct_2(u2_lattices(X3),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)],[193,554,theory(equality)]) ).
cnf(1248,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = X3
| v3_struct_0(X3)
| v3_struct_0(X2)
| k8_filter_0(X2,X1) != X3
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X3)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[583,181,theory(equality)]) ).
cnf(2802,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(u2_lattices(X1),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(X3) ),
inference(csr,[status(thm)],[846,128]) ).
cnf(2803,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)],[2802,127]) ).
cnf(2806,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)
| ~ 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))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[2803,553,theory(equality)]) ).
cnf(2878,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(u2_lattices(X1),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(X3) ),
inference(csr,[status(thm)],[847,128]) ).
cnf(2879,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)],[2878,127]) ).
cnf(2882,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)
| ~ 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))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[2879,553,theory(equality)]) ).
cnf(2900,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(u2_lattices(X3),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(X1) ),
inference(csr,[status(thm)],[848,128]) ).
cnf(2901,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)],[2900,127]) ).
cnf(2904,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)
| ~ 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))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[2901,553,theory(equality)]) ).
cnf(4513,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| v3_struct_0(k8_filter_0(X2,X1))
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(k8_filter_0(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(k8_filter_0(X2,X1))
| ~ l3_lattices(X2) ),
inference(er,[status(thm)],[1248,theory(equality)]) ).
cnf(5819,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k8_filter_0(X2,X1)
| v3_struct_0(k8_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(k8_filter_0(X2,X1))
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[4513,377]) ).
cnf(5820,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k8_filter_0(X2,X1)
| v3_struct_0(k8_filter_0(X2,X1))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[5819,253]) ).
cnf(5821,plain,
( g3_lattices(X1,k1_realset1(u2_lattices(X2),X1),k1_realset1(u1_lattices(X2),X1)) = k8_filter_0(X2,X1)
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(csr,[status(thm)],[5820,261]) ).
cnf(40597,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)
| ~ 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)],[2806,118]) ).
cnf(40598,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)],[40597,117]) ).
cnf(40600,negated_conjecture,
( u2_lattices(esk19_0) = X1
| g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)) != g3_lattices(X2,X1,X3)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(spm,[status(thm)],[40598,339,theory(equality)]) ).
cnf(40645,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(er,[status(thm)],[40600,theory(equality)]) ).
cnf(40660,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| ~ l1_lattices(esk19_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[40645,172,theory(equality)]) ).
cnf(40661,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| ~ l1_lattices(esk19_0)
| $false ),
inference(rw,[status(thm)],[40660,342,theory(equality)]) ).
cnf(40662,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| ~ l1_lattices(esk19_0) ),
inference(cn,[status(thm)],[40661,theory(equality)]) ).
cnf(40663,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[40662,173,theory(equality)]) ).
cnf(40664,negated_conjecture,
( u2_lattices(esk19_0) = u2_lattices(esk18_0)
| $false ),
inference(rw,[status(thm)],[40663,342,theory(equality)]) ).
cnf(40665,negated_conjecture,
u2_lattices(esk19_0) = u2_lattices(esk18_0),
inference(cn,[status(thm)],[40664,theory(equality)]) ).
cnf(40733,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk19_0),X1)) = k8_filter_0(esk19_0,X1)
| v3_struct_0(esk19_0)
| ~ m1_filter_0(X1,esk19_0)
| ~ v10_lattices(esk19_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[5821,40665,theory(equality)]) ).
cnf(40761,negated_conjecture,
g3_lattices(u1_struct_0(esk19_0),u2_lattices(esk18_0),u1_lattices(esk19_0)) = g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)),
inference(rw,[status(thm)],[339,40665,theory(equality)]) ).
cnf(40870,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk19_0),X1)) = k8_filter_0(esk19_0,X1)
| v3_struct_0(esk19_0)
| ~ m1_filter_0(X1,esk19_0)
| $false
| ~ l3_lattices(esk19_0) ),
inference(rw,[status(thm)],[40733,343,theory(equality)]) ).
cnf(40871,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk19_0),X1)) = k8_filter_0(esk19_0,X1)
| v3_struct_0(esk19_0)
| ~ m1_filter_0(X1,esk19_0)
| $false
| $false ),
inference(rw,[status(thm)],[40870,342,theory(equality)]) ).
cnf(40872,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk19_0),X1)) = k8_filter_0(esk19_0,X1)
| v3_struct_0(esk19_0)
| ~ m1_filter_0(X1,esk19_0) ),
inference(cn,[status(thm)],[40871,theory(equality)]) ).
cnf(40873,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk19_0),X1)) = k8_filter_0(esk19_0,X1)
| ~ m1_filter_0(X1,esk19_0) ),
inference(sr,[status(thm)],[40872,344,theory(equality)]) ).
cnf(48066,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)
| ~ 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)],[2882,118]) ).
cnf(48067,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)],[48066,117]) ).
cnf(48069,negated_conjecture,
( u1_struct_0(esk19_0) = X1
| g3_lattices(u1_struct_0(esk19_0),u2_lattices(esk18_0),u1_lattices(esk19_0)) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(spm,[status(thm)],[48067,40665,theory(equality)]) ).
cnf(48120,negated_conjecture,
( u1_struct_0(esk19_0) = X1
| g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(rw,[status(thm)],[48069,40761,theory(equality)]) ).
cnf(48125,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(er,[status(thm)],[48120,theory(equality)]) ).
cnf(48141,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| ~ l1_lattices(esk19_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[48125,172,theory(equality)]) ).
cnf(48142,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| ~ l1_lattices(esk19_0)
| $false ),
inference(rw,[status(thm)],[48141,342,theory(equality)]) ).
cnf(48143,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| ~ l1_lattices(esk19_0) ),
inference(cn,[status(thm)],[48142,theory(equality)]) ).
cnf(48235,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[48143,173,theory(equality)]) ).
cnf(48236,negated_conjecture,
( u1_struct_0(esk19_0) = u1_struct_0(esk18_0)
| $false ),
inference(rw,[status(thm)],[48235,342,theory(equality)]) ).
cnf(48237,negated_conjecture,
u1_struct_0(esk19_0) = u1_struct_0(esk18_0),
inference(cn,[status(thm)],[48236,theory(equality)]) ).
cnf(48581,negated_conjecture,
g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk19_0)) = g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)),
inference(rw,[status(thm)],[40761,48237,theory(equality)]) ).
cnf(51815,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)
| ~ 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)],[2904,118]) ).
cnf(51816,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)],[51815,117]) ).
cnf(51818,negated_conjecture,
( u1_lattices(esk19_0) = X1
| g3_lattices(u1_struct_0(esk19_0),u2_lattices(esk18_0),u1_lattices(esk19_0)) != g3_lattices(X2,X3,X1)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(spm,[status(thm)],[51816,40665,theory(equality)]) ).
cnf(51846,negated_conjecture,
( u1_lattices(esk19_0) = X1
| g3_lattices(u1_struct_0(esk18_0),u2_lattices(esk18_0),u1_lattices(esk18_0)) != g3_lattices(X2,X3,X1)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[51818,48237,theory(equality)]),48581,theory(equality)]) ).
cnf(52580,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| ~ l2_lattices(esk19_0)
| ~ l1_lattices(esk19_0) ),
inference(er,[status(thm)],[51846,theory(equality)]) ).
cnf(52596,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| ~ l1_lattices(esk19_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[52580,172,theory(equality)]) ).
cnf(52597,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| ~ l1_lattices(esk19_0)
| $false ),
inference(rw,[status(thm)],[52596,342,theory(equality)]) ).
cnf(52598,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| ~ l1_lattices(esk19_0) ),
inference(cn,[status(thm)],[52597,theory(equality)]) ).
cnf(52599,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| ~ l3_lattices(esk19_0) ),
inference(spm,[status(thm)],[52598,173,theory(equality)]) ).
cnf(52600,negated_conjecture,
( u1_lattices(esk19_0) = u1_lattices(esk18_0)
| $false ),
inference(rw,[status(thm)],[52599,342,theory(equality)]) ).
cnf(52601,negated_conjecture,
u1_lattices(esk19_0) = u1_lattices(esk18_0),
inference(cn,[status(thm)],[52600,theory(equality)]) ).
cnf(52712,negated_conjecture,
( g3_lattices(X1,k1_realset1(u2_lattices(esk18_0),X1),k1_realset1(u1_lattices(esk18_0),X1)) = k8_filter_0(esk19_0,X1)
| ~ m1_filter_0(X1,esk19_0) ),
inference(rw,[status(thm)],[40873,52601,theory(equality)]) ).
cnf(53084,negated_conjecture,
( k8_filter_0(esk19_0,X1) = k8_filter_0(esk18_0,X1)
| v3_struct_0(esk18_0)
| ~ m1_filter_0(X1,esk18_0)
| ~ v10_lattices(esk18_0)
| ~ l3_lattices(esk18_0)
| ~ m1_filter_0(X1,esk19_0) ),
inference(spm,[status(thm)],[5821,52712,theory(equality)]) ).
cnf(53165,negated_conjecture,
( k8_filter_0(esk19_0,X1) = k8_filter_0(esk18_0,X1)
| v3_struct_0(esk18_0)
| ~ m1_filter_0(X1,esk18_0)
| $false
| ~ l3_lattices(esk18_0)
| ~ m1_filter_0(X1,esk19_0) ),
inference(rw,[status(thm)],[53084,346,theory(equality)]) ).
cnf(53166,negated_conjecture,
( k8_filter_0(esk19_0,X1) = k8_filter_0(esk18_0,X1)
| v3_struct_0(esk18_0)
| ~ m1_filter_0(X1,esk18_0)
| $false
| $false
| ~ m1_filter_0(X1,esk19_0) ),
inference(rw,[status(thm)],[53165,345,theory(equality)]) ).
cnf(53167,negated_conjecture,
( k8_filter_0(esk19_0,X1) = k8_filter_0(esk18_0,X1)
| v3_struct_0(esk18_0)
| ~ m1_filter_0(X1,esk18_0)
| ~ m1_filter_0(X1,esk19_0) ),
inference(cn,[status(thm)],[53166,theory(equality)]) ).
cnf(53168,negated_conjecture,
( k8_filter_0(esk19_0,X1) = k8_filter_0(esk18_0,X1)
| ~ m1_filter_0(X1,esk18_0)
| ~ m1_filter_0(X1,esk19_0) ),
inference(sr,[status(thm)],[53167,347,theory(equality)]) ).
cnf(53173,negated_conjecture,
( ~ m1_filter_0(esk20_0,esk18_0)
| ~ m1_filter_0(esk20_0,esk19_0) ),
inference(spm,[status(thm)],[458,53168,theory(equality)]) ).
cnf(53190,negated_conjecture,
( $false
| ~ m1_filter_0(esk20_0,esk19_0) ),
inference(rw,[status(thm)],[53173,495,theory(equality)]) ).
cnf(53191,negated_conjecture,
( $false
| $false ),
inference(rw,[status(thm)],[53190,499,theory(equality)]) ).
cnf(53192,negated_conjecture,
$false,
inference(cn,[status(thm)],[53191,theory(equality)]) ).
cnf(53193,negated_conjecture,
$false,
53192,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT331+1.p
% --creating new selector for []
% -running prover on /tmp/tmpwJQZQC/sel_LAT331+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT331+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT331+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT331+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
%
%------------------------------------------------------------------------------