TSTP Solution File: LAT307+1 by SInE---0.4
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%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : LAT307+1 : TPTP v5.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art07.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 14:27:23 EST 2010
% Result : Theorem 6.42s
% Output : CNFRefutation 6.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 24
% Syntax : Number of formulae : 233 ( 10 unt; 0 def)
% Number of atoms : 1353 ( 141 equ)
% Maximal formula atoms : 36 ( 5 avg)
% Number of connectives : 1817 ( 697 ~; 819 |; 225 &)
% ( 7 <=>; 69 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 2 con; 0-3 aty)
% Number of variables : 377 ( 20 sgn 215 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',t22_filter_0) ).
fof(2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_l3_lattices) ).
fof(3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',t64_lattice2) ).
fof(6,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/tmpLMtZ2N/sel_LAT307+1.p_1',redefinition_m1_filter_2) ).
fof(13,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_k15_filter_2) ).
fof(20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',d7_filter_2) ).
fof(21,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/tmpLMtZ2N/sel_LAT307+1.p_1',dt_u1_lattices) ).
fof(25,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',d2_lattice2) ).
fof(29,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',t33_filter_2) ).
fof(30,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',redefinition_k14_filter_2) ).
fof(34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',fc6_lattice2) ).
fof(38,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_k14_filter_2) ).
fof(46,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_m2_filter_2) ).
fof(50,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/tmpLMtZ2N/sel_LAT307+1.p_1',free_g3_lattices) ).
fof(52,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_m1_filter_0) ).
fof(58,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',t34_filter_2) ).
fof(61,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',abstractness_v3_lattices) ).
fof(62,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',redefinition_k15_filter_2) ).
fof(65,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',fc1_lattice2) ).
fof(66,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_k1_lattice2) ).
fof(72,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/tmpLMtZ2N/sel_LAT307+1.p_1',dt_u2_lattices) ).
fof(81,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',redefinition_m2_relset_1) ).
fof(84,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',d6_filter_2) ).
fof(87,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/tmp/tmpLMtZ2N/sel_LAT307+1.p_1',dt_m2_lattice4) ).
fof(92,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[58]) ).
fof(93,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v13_lattices(X1)
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& v1_filter_0(X3,X1) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[1,theory(equality)]) ).
fof(94,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[3,theory(equality)]) ).
fof(95,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)],[6,theory(equality)]) ).
fof(100,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[13,theory(equality)]) ).
fof(103,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[20,theory(equality)]) ).
fof(106,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[29,theory(equality)]) ).
fof(107,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[30,theory(equality)]) ).
fof(109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[34,theory(equality)]) ).
fof(111,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[38,theory(equality)]) ).
fof(116,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[46,theory(equality)]) ).
fof(118,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[52,theory(equality)]) ).
fof(121,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ~ ( X2 != u1_struct_0(X1)
& ! [X3] :
( m2_filter_2(X3,X1)
=> ~ ( r1_tarski(X2,X3)
& r2_filter_2(X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[92,theory(equality)]) ).
fof(123,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[62,theory(equality)]) ).
fof(126,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[65,theory(equality)]) ).
fof(135,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[84,theory(equality)]) ).
fof(136,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[87,theory(equality)]) ).
fof(139,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| X2 = u1_struct_0(X1)
| ? [X3] :
( m1_filter_0(X3,X1)
& r1_tarski(X2,X3)
& v1_filter_0(X3,X1) ) ) ),
inference(fof_nnf,[status(thm)],[93]) ).
fof(140,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ v13_lattices(X4)
| ! [X5] :
( ~ m1_filter_0(X5,X4)
| X5 = u1_struct_0(X4)
| ? [X6] :
( m1_filter_0(X6,X4)
& r1_tarski(X5,X6)
& v1_filter_0(X6,X4) ) ) ),
inference(variable_rename,[status(thm)],[139]) ).
fof(141,plain,
! [X4] :
( v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4)
| ~ v13_lattices(X4)
| ! [X5] :
( ~ m1_filter_0(X5,X4)
| X5 = u1_struct_0(X4)
| ( m1_filter_0(esk1_2(X4,X5),X4)
& r1_tarski(X5,esk1_2(X4,X5))
& v1_filter_0(esk1_2(X4,X5),X4) ) ) ),
inference(skolemize,[status(esa)],[140]) ).
fof(142,plain,
! [X4,X5] :
( ~ m1_filter_0(X5,X4)
| X5 = u1_struct_0(X4)
| ( m1_filter_0(esk1_2(X4,X5),X4)
& r1_tarski(X5,esk1_2(X4,X5))
& v1_filter_0(esk1_2(X4,X5),X4) )
| ~ v13_lattices(X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(shift_quantors,[status(thm)],[141]) ).
fof(143,plain,
! [X4,X5] :
( ( m1_filter_0(esk1_2(X4,X5),X4)
| X5 = u1_struct_0(X4)
| ~ m1_filter_0(X5,X4)
| ~ v13_lattices(X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( r1_tarski(X5,esk1_2(X4,X5))
| X5 = u1_struct_0(X4)
| ~ m1_filter_0(X5,X4)
| ~ v13_lattices(X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) )
& ( v1_filter_0(esk1_2(X4,X5),X4)
| X5 = u1_struct_0(X4)
| ~ m1_filter_0(X5,X4)
| ~ v13_lattices(X4)
| v3_struct_0(X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ) ),
inference(distribute,[status(thm)],[142]) ).
cnf(144,plain,
( v3_struct_0(X1)
| X2 = u1_struct_0(X1)
| v1_filter_0(esk1_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(145,plain,
( v3_struct_0(X1)
| X2 = u1_struct_0(X1)
| r1_tarski(X2,esk1_2(X1,X2))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
cnf(146,plain,
( v3_struct_0(X1)
| X2 = u1_struct_0(X1)
| m1_filter_0(esk1_2(X1,X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[143]) ).
fof(147,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( l1_lattices(X1)
& l2_lattices(X1) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(148,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( l1_lattices(X2)
& l2_lattices(X2) ) ),
inference(variable_rename,[status(thm)],[147]) ).
fof(149,plain,
! [X2] :
( ( l1_lattices(X2)
| ~ l3_lattices(X2) )
& ( l2_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[148]) ).
cnf(150,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
cnf(151,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[149]) ).
fof(152,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ( ~ v14_lattices(X1)
| v13_lattices(k1_lattice2(X1)) )
& ( ~ v13_lattices(k1_lattice2(X1))
| v14_lattices(X1) ) ) ),
inference(fof_nnf,[status(thm)],[94]) ).
fof(153,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ( ~ v14_lattices(X2)
| v13_lattices(k1_lattice2(X2)) )
& ( ~ v13_lattices(k1_lattice2(X2))
| v14_lattices(X2) ) ) ),
inference(variable_rename,[status(thm)],[152]) ).
fof(154,plain,
! [X2] :
( ( ~ v14_lattices(X2)
| v13_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( ~ v13_lattices(k1_lattice2(X2))
| v14_lattices(X2)
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[153]) ).
cnf(156,plain,
( v3_struct_0(X1)
| v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v14_lattices(X1) ),
inference(split_conjunct,[status(thm)],[154]) ).
fof(162,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)],[95]) ).
fof(163,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)],[162]) ).
fof(164,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)],[163]) ).
fof(165,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)],[164]) ).
cnf(167,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)],[165]) ).
fof(193,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_nnf,[status(thm)],[100]) ).
fof(194,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| m1_filter_2(k15_filter_2(X3,X4),k1_lattice2(X3)) ),
inference(variable_rename,[status(thm)],[193]) ).
cnf(195,plain,
( m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[194]) ).
fof(226,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| k8_filter_2(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[103]) ).
fof(227,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X3))))
| k8_filter_2(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[226]) ).
fof(228,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(k1_lattice2(X3))))
| k8_filter_2(X3,X4) = X4
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[227]) ).
cnf(229,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[228]) ).
fof(230,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)],[21]) ).
fof(231,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)],[230]) ).
fof(232,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)],[231]) ).
cnf(233,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)],[232]) ).
cnf(234,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)],[232]) ).
cnf(235,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[232]) ).
fof(247,plain,
! [X1] :
( ~ l3_lattices(X1)
| k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(248,plain,
! [X2] :
( ~ l3_lattices(X2)
| k1_lattice2(X2) = g3_lattices(u1_struct_0(X2),u1_lattices(X2),u2_lattices(X2)) ),
inference(variable_rename,[status(thm)],[247]) ).
cnf(249,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[248]) ).
fof(263,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| ( ( ~ r2_filter_2(X1,X2)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) )
& ( ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| r2_filter_2(X1,X2) ) ) ) ),
inference(fof_nnf,[status(thm)],[106]) ).
fof(264,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| ( ( ~ r2_filter_2(X3,X4)
| v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3)) )
& ( ~ v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
| r2_filter_2(X3,X4) ) ) ) ),
inference(variable_rename,[status(thm)],[263]) ).
fof(265,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| ( ( ~ r2_filter_2(X3,X4)
| v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3)) )
& ( ~ v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
| r2_filter_2(X3,X4) ) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[264]) ).
fof(266,plain,
! [X3,X4] :
( ( ~ r2_filter_2(X3,X4)
| v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( ~ v1_filter_0(k15_filter_2(X3,X4),k1_lattice2(X3))
| r2_filter_2(X3,X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[265]) ).
cnf(267,plain,
( v3_struct_0(X1)
| r2_filter_2(X1,X2)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[266]) ).
fof(269,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_nnf,[status(thm)],[107]) ).
fof(270,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,k1_lattice2(X3))
| k14_filter_2(X3,X4) = k8_filter_2(X3,X4) ),
inference(variable_rename,[status(thm)],[269]) ).
cnf(271,plain,
( k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[270]) ).
fof(285,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[109]) ).
fof(286,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2))
& v4_lattices(k1_lattice2(X2))
& v5_lattices(k1_lattice2(X2))
& v6_lattices(k1_lattice2(X2))
& v7_lattices(k1_lattice2(X2))
& v8_lattices(k1_lattice2(X2))
& v9_lattices(k1_lattice2(X2))
& v10_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[285]) ).
fof(287,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v4_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v5_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v6_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v7_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v8_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v9_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) )
& ( v10_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[286]) ).
cnf(288,plain,
( v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[287]) ).
fof(305,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_nnf,[status(thm)],[111]) ).
fof(306,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m1_filter_0(X4,k1_lattice2(X3))
| m2_filter_2(k14_filter_2(X3,X4),X3) ),
inference(variable_rename,[status(thm)],[305]) ).
cnf(307,plain,
( m2_filter_2(k14_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[306]) ).
fof(337,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_filter_2(X2,X1)
| ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_nnf,[status(thm)],[116]) ).
fof(338,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) ) ) ),
inference(variable_rename,[status(thm)],[337]) ).
fof(339,plain,
! [X3,X4] :
( ~ m2_filter_2(X4,X3)
| ( ~ v1_xboole_0(X4)
& m2_lattice4(X4,X3) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[338]) ).
fof(340,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m2_lattice4(X4,X3)
| ~ m2_filter_2(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[339]) ).
cnf(341,plain,
( v3_struct_0(X1)
| m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[340]) ).
fof(350,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)],[50]) ).
fof(351,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)],[350]) ).
fof(352,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)],[351]) ).
fof(353,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)],[352]) ).
cnf(356,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)],[353]) ).
fof(360,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_filter_0(X2,X1)
| ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_nnf,[status(thm)],[118]) ).
fof(361,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_filter_0(X4,X3)
| ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ) ),
inference(variable_rename,[status(thm)],[360]) ).
fof(362,plain,
! [X3,X4] :
( ~ m1_filter_0(X4,X3)
| ( ~ v1_xboole_0(X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) )
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[361]) ).
fof(363,plain,
! [X3,X4] :
( ( ~ v1_xboole_0(X4)
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) )
& ( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| ~ m1_filter_0(X4,X3)
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ) ),
inference(distribute,[status(thm)],[362]) ).
cnf(364,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[363]) ).
fof(382,negated_conjecture,
? [X1] :
( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& v14_lattices(X1)
& ? [X2] :
( m2_filter_2(X2,X1)
& X2 != u1_struct_0(X1)
& ! [X3] :
( ~ m2_filter_2(X3,X1)
| ~ r1_tarski(X2,X3)
| ~ r2_filter_2(X1,X3) ) ) ),
inference(fof_nnf,[status(thm)],[121]) ).
fof(383,negated_conjecture,
? [X4] :
( ~ v3_struct_0(X4)
& v10_lattices(X4)
& l3_lattices(X4)
& v14_lattices(X4)
& ? [X5] :
( m2_filter_2(X5,X4)
& X5 != u1_struct_0(X4)
& ! [X6] :
( ~ m2_filter_2(X6,X4)
| ~ r1_tarski(X5,X6)
| ~ r2_filter_2(X4,X6) ) ) ),
inference(variable_rename,[status(thm)],[382]) ).
fof(384,negated_conjecture,
( ~ v3_struct_0(esk16_0)
& v10_lattices(esk16_0)
& l3_lattices(esk16_0)
& v14_lattices(esk16_0)
& m2_filter_2(esk17_0,esk16_0)
& esk17_0 != u1_struct_0(esk16_0)
& ! [X6] :
( ~ m2_filter_2(X6,esk16_0)
| ~ r1_tarski(esk17_0,X6)
| ~ r2_filter_2(esk16_0,X6) ) ),
inference(skolemize,[status(esa)],[383]) ).
fof(385,negated_conjecture,
! [X6] :
( ( ~ m2_filter_2(X6,esk16_0)
| ~ r1_tarski(esk17_0,X6)
| ~ r2_filter_2(esk16_0,X6) )
& esk17_0 != u1_struct_0(esk16_0)
& m2_filter_2(esk17_0,esk16_0)
& v14_lattices(esk16_0)
& ~ v3_struct_0(esk16_0)
& v10_lattices(esk16_0)
& l3_lattices(esk16_0) ),
inference(shift_quantors,[status(thm)],[384]) ).
cnf(386,negated_conjecture,
l3_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(387,negated_conjecture,
v10_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(388,negated_conjecture,
~ v3_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(389,negated_conjecture,
v14_lattices(esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(390,negated_conjecture,
m2_filter_2(esk17_0,esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(391,negated_conjecture,
esk17_0 != u1_struct_0(esk16_0),
inference(split_conjunct,[status(thm)],[385]) ).
cnf(392,negated_conjecture,
( ~ r2_filter_2(esk16_0,X1)
| ~ r1_tarski(esk17_0,X1)
| ~ m2_filter_2(X1,esk16_0) ),
inference(split_conjunct,[status(thm)],[385]) ).
fof(399,plain,
! [X1] :
( ~ l3_lattices(X1)
| ~ v3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(fof_nnf,[status(thm)],[61]) ).
fof(400,plain,
! [X2] :
( ~ l3_lattices(X2)
| ~ v3_lattices(X2)
| X2 = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) ),
inference(variable_rename,[status(thm)],[399]) ).
cnf(401,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ v3_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[400]) ).
fof(402,plain,
! [X1,X2] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_nnf,[status(thm)],[123]) ).
fof(403,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X4,X3)
| k15_filter_2(X3,X4) = k7_filter_2(X3,X4) ),
inference(variable_rename,[status(thm)],[402]) ).
cnf(404,plain,
( k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(split_conjunct,[status(thm)],[403]) ).
fof(416,plain,
! [X1] :
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[126]) ).
fof(417,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l3_lattices(X2)
| ( ~ v3_struct_0(k1_lattice2(X2))
& v3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[416]) ).
fof(418,plain,
! [X2] :
( ( ~ v3_struct_0(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) )
& ( v3_lattices(k1_lattice2(X2))
| v3_struct_0(X2)
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[417]) ).
cnf(420,plain,
( v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[418]) ).
fof(421,plain,
! [X1] :
( ~ l3_lattices(X1)
| ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
inference(fof_nnf,[status(thm)],[66]) ).
fof(422,plain,
! [X2] :
( ~ l3_lattices(X2)
| ( v3_lattices(k1_lattice2(X2))
& l3_lattices(k1_lattice2(X2)) ) ),
inference(variable_rename,[status(thm)],[421]) ).
fof(423,plain,
! [X2] :
( ( v3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) )
& ( l3_lattices(k1_lattice2(X2))
| ~ l3_lattices(X2) ) ),
inference(distribute,[status(thm)],[422]) ).
cnf(424,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[423]) ).
cnf(425,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[423]) ).
fof(451,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)],[72]) ).
fof(452,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)],[451]) ).
fof(453,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)],[452]) ).
cnf(454,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)],[453]) ).
cnf(455,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)],[453]) ).
cnf(456,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[453]) ).
fof(497,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)],[81]) ).
fof(498,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)],[497]) ).
cnf(500,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[498]) ).
fof(507,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| k7_filter_2(X1,X2) = X2 ) ),
inference(fof_nnf,[status(thm)],[135]) ).
fof(508,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4 ) ),
inference(variable_rename,[status(thm)],[507]) ).
fof(509,plain,
! [X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| k7_filter_2(X3,X4) = X4
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[508]) ).
cnf(510,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[509]) ).
fof(517,plain,
! [X1] :
( v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ! [X2] :
( ~ m2_lattice4(X2,X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_nnf,[status(thm)],[136]) ).
fof(518,plain,
! [X3] :
( v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ! [X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3))) ) ),
inference(variable_rename,[status(thm)],[517]) ).
fof(519,plain,
! [X3,X4] :
( ~ m2_lattice4(X4,X3)
| m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X3)))
| v3_struct_0(X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(shift_quantors,[status(thm)],[518]) ).
cnf(520,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[519]) ).
cnf(611,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2) ),
inference(spm,[status(thm)],[520,341,theory(equality)]) ).
cnf(614,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[167,195,theory(equality)]) ).
cnf(617,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)],[500,233,theory(equality)]) ).
cnf(638,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)],[500,454,theory(equality)]) ).
cnf(640,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k7_filter_2(X1,X2),k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[267,404,theory(equality)]) ).
cnf(644,plain,
( m2_filter_2(k8_filter_2(X1,X2),X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[307,271,theory(equality)]) ).
cnf(649,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[229,364,theory(equality)]) ).
cnf(893,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[614,288]) ).
cnf(894,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[893,424]) ).
cnf(895,plain,
( m1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[894,420]) ).
cnf(897,plain,
( m1_filter_0(k7_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[895,404,theory(equality)]) ).
cnf(966,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(u1_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(u1_lattices(X1))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[356,617,theory(equality)]) ).
cnf(1059,plain,
( m1_filter_0(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[897,510,theory(equality)]) ).
cnf(1075,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[640,510,theory(equality)]) ).
cnf(1169,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[649,288]) ).
cnf(1170,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1169,424]) ).
cnf(1171,plain,
( k8_filter_2(X1,X2) = X2
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1170,420]) ).
cnf(1174,plain,
( m2_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[644,1171,theory(equality)]) ).
cnf(1178,plain,
( m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| v3_struct_0(X1)
| u1_struct_0(k1_lattice2(X1)) = X2
| v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[1174,146,theory(equality)]) ).
cnf(1300,plain,
( m1_filter_0(X2,k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1059,611]) ).
cnf(1915,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(X2,k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1075,611]) ).
cnf(1917,plain,
( r2_filter_2(X1,esk1_2(k1_lattice2(X1),X2))
| v3_struct_0(X1)
| u1_struct_0(k1_lattice2(X1)) = X2
| v3_struct_0(k1_lattice2(X1))
| ~ m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ v10_lattices(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[1915,144,theory(equality)]) ).
cnf(3009,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(u1_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)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[966,235]) ).
cnf(3010,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),X3) != g3_lattices(X2,X4,X5)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[3009,234]) ).
cnf(3015,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ 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))
| ~ l1_lattices(X1)
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[3010,638,theory(equality)]) ).
cnf(4330,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1178,288]) ).
cnf(4331,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[4330,424]) ).
cnf(4332,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[4331,420]) ).
cnf(14092,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| r2_filter_2(X1,esk1_2(k1_lattice2(X1),X2))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[1917,288]) ).
cnf(14093,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| r2_filter_2(X1,esk1_2(k1_lattice2(X1),X2))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m2_filter_2(esk1_2(k1_lattice2(X1),X2),X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[14092,424]) ).
cnf(14094,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| r2_filter_2(X1,esk1_2(k1_lattice2(X1),X2))
| v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[14093,4332]) ).
cnf(14095,plain,
( u1_struct_0(k1_lattice2(X1)) = X2
| r2_filter_2(X1,esk1_2(k1_lattice2(X1),X2))
| v3_struct_0(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1))
| ~ v13_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[14094,420]) ).
cnf(14096,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = X1
| v3_struct_0(esk16_0)
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),X1),esk16_0)
| ~ r1_tarski(esk17_0,esk1_2(k1_lattice2(esk16_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(spm,[status(thm)],[392,14095,theory(equality)]) ).
cnf(14098,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = X1
| v3_struct_0(esk16_0)
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),X1),esk16_0)
| ~ r1_tarski(esk17_0,esk1_2(k1_lattice2(esk16_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| $false
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14096,386,theory(equality)]) ).
cnf(14099,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = X1
| v3_struct_0(esk16_0)
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),X1),esk16_0)
| ~ r1_tarski(esk17_0,esk1_2(k1_lattice2(esk16_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| $false
| $false ),
inference(rw,[status(thm)],[14098,387,theory(equality)]) ).
cnf(14100,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = X1
| v3_struct_0(esk16_0)
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),X1),esk16_0)
| ~ r1_tarski(esk17_0,esk1_2(k1_lattice2(esk16_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[14099,theory(equality)]) ).
cnf(14101,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = X1
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),X1),esk16_0)
| ~ r1_tarski(esk17_0,esk1_2(k1_lattice2(esk16_0),X1))
| ~ m1_filter_0(X1,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[14100,388,theory(equality)]) ).
cnf(14107,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ m2_filter_2(esk1_2(k1_lattice2(esk16_0),esk17_0),esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(spm,[status(thm)],[14101,145,theory(equality)]) ).
cnf(14111,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(spm,[status(thm)],[14107,4332,theory(equality)]) ).
cnf(14112,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14111,386,theory(equality)]) ).
cnf(14113,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| $false ),
inference(rw,[status(thm)],[14112,387,theory(equality)]) ).
cnf(14114,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[14113,theory(equality)]) ).
cnf(14115,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ v13_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[14114,388,theory(equality)]) ).
cnf(14116,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| ~ v14_lattices(esk16_0)
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(spm,[status(thm)],[14115,156,theory(equality)]) ).
cnf(14117,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14116,389,theory(equality)]) ).
cnf(14118,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| $false
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14117,386,theory(equality)]) ).
cnf(14119,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[14118,387,theory(equality)]) ).
cnf(14120,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[14119,theory(equality)]) ).
cnf(14121,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ m1_filter_0(esk17_0,k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[14120,388,theory(equality)]) ).
cnf(14122,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| ~ m2_filter_2(esk17_0,esk16_0)
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(spm,[status(thm)],[14121,1300,theory(equality)]) ).
cnf(14123,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14122,390,theory(equality)]) ).
cnf(14124,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| $false
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14123,386,theory(equality)]) ).
cnf(14125,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0))
| $false
| $false
| $false ),
inference(rw,[status(thm)],[14124,387,theory(equality)]) ).
cnf(14126,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[14125,theory(equality)]) ).
cnf(14127,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ v10_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[14126,388,theory(equality)]) ).
cnf(14128,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(esk16_0)
| ~ v10_lattices(esk16_0) ),
inference(spm,[status(thm)],[14127,288,theory(equality)]) ).
cnf(14129,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| $false
| ~ v10_lattices(esk16_0) ),
inference(rw,[status(thm)],[14128,386,theory(equality)]) ).
cnf(14130,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0))
| $false
| $false ),
inference(rw,[status(thm)],[14129,387,theory(equality)]) ).
cnf(14131,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| v3_struct_0(esk16_0)
| ~ l3_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[14130,theory(equality)]) ).
cnf(14132,negated_conjecture,
( u1_struct_0(k1_lattice2(esk16_0)) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[14131,388,theory(equality)]) ).
cnf(45264,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ v1_funct_2(u2_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)],[3015,456]) ).
cnf(45265,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[45264,455]) ).
cnf(45267,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[45265,249,theory(equality)]) ).
cnf(45600,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[45267,151]) ).
cnf(45601,plain,
( u1_struct_0(X1) = X2
| k1_lattice2(X1) != g3_lattices(X2,X3,X4)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[45600,150]) ).
cnf(45603,plain,
( u1_struct_0(X1) = u1_struct_0(X2)
| k1_lattice2(X1) != X2
| ~ l3_lattices(X1)
| ~ v3_lattices(X2)
| ~ l3_lattices(X2) ),
inference(spm,[status(thm)],[45601,401,theory(equality)]) ).
cnf(45614,plain,
( u1_struct_0(X1) = u1_struct_0(k1_lattice2(X1))
| ~ v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| ~ l3_lattices(k1_lattice2(X1)) ),
inference(er,[status(thm)],[45603,theory(equality)]) ).
cnf(45615,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[45614,424]) ).
cnf(45616,plain,
( u1_struct_0(k1_lattice2(X1)) = u1_struct_0(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[45615,425]) ).
cnf(46045,negated_conjecture,
( u1_struct_0(esk16_0) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| ~ l3_lattices(esk16_0) ),
inference(spm,[status(thm)],[14132,45616,theory(equality)]) ).
cnf(46367,negated_conjecture,
( u1_struct_0(esk16_0) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0))
| $false ),
inference(rw,[status(thm)],[46045,386,theory(equality)]) ).
cnf(46368,negated_conjecture,
( u1_struct_0(esk16_0) = esk17_0
| v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0)) ),
inference(cn,[status(thm)],[46367,theory(equality)]) ).
cnf(46369,negated_conjecture,
( v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(k1_lattice2(esk16_0)) ),
inference(sr,[status(thm)],[46368,391,theory(equality)]) ).
cnf(46492,negated_conjecture,
( v3_struct_0(k1_lattice2(esk16_0))
| ~ l3_lattices(esk16_0) ),
inference(spm,[status(thm)],[46369,424,theory(equality)]) ).
cnf(46493,negated_conjecture,
( v3_struct_0(k1_lattice2(esk16_0))
| $false ),
inference(rw,[status(thm)],[46492,386,theory(equality)]) ).
cnf(46494,negated_conjecture,
v3_struct_0(k1_lattice2(esk16_0)),
inference(cn,[status(thm)],[46493,theory(equality)]) ).
cnf(46495,negated_conjecture,
( v3_struct_0(esk16_0)
| ~ l3_lattices(esk16_0) ),
inference(spm,[status(thm)],[420,46494,theory(equality)]) ).
cnf(46507,negated_conjecture,
( v3_struct_0(esk16_0)
| $false ),
inference(rw,[status(thm)],[46495,386,theory(equality)]) ).
cnf(46508,negated_conjecture,
v3_struct_0(esk16_0),
inference(cn,[status(thm)],[46507,theory(equality)]) ).
cnf(46509,negated_conjecture,
$false,
inference(sr,[status(thm)],[46508,388,theory(equality)]) ).
cnf(46510,negated_conjecture,
$false,
46509,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/LAT/LAT307+1.p
% --creating new selector for []
% -running prover on /tmp/tmpLMtZ2N/sel_LAT307+1.p_1 with time limit 29
% -prover status Theorem
% Problem LAT307+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/LAT/LAT307+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/LAT/LAT307+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
%
%------------------------------------------------------------------------------