%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT299+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:46 PM UTC 2026
% Result : Theorem 280.26s 37.23s
% Output : CNFRefutation 280.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 25
% Syntax : Number of formulae : 228 ( 36 unt; 0 def)
% Number of atoms : 1133 ( 101 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 1544 ( 639 ~; 686 |; 142 &)
% ( 7 <=>; 70 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 3 con; 0-6 aty)
% Number of variables : 369 ( 32 sgn 151 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t17_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(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] :
( m2_filter_2(X3,X1)
=> m2_filter_2(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_filter_2) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X3 = X6
& X2 = X5
& X1 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( l3_lattices(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(redefinition_k2_binop_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X6,X2)
& m1_subset_1(X5,X1)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(d3_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_2) ).
fof(d1_lattices,axiom,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(redefinition_k3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(commutativity_k3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(t15_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_2) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(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] :
( m2_filter_2(X3,X1)
=> m2_filter_2(X3,X2) ) ) ) ),
inference(assume_negation,[status(cth)],[t17_filter_2]) ).
fof(c_0_26,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(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] :
( m2_filter_2(X3,X1)
=> m2_filter_2(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_27,plain,
! [X98,X99,X100,X101,X102,X103] :
( ( ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X99)
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| X100 = X103 )
& ( ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X99)
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| X99 = X102 )
& ( ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X99)
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| X98 = X101 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])])]) ).
fof(c_0_28,negated_conjecture,
( ~ m2_filter_2(esk3_0,esk2_0)
& m2_filter_2(esk3_0,esk1_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& l3_lattices(esk2_0)
& v10_lattices(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).
fof(c_0_29,plain,
! [X132,X133,X134] :
( ( m2_relset_1(X134,X132,X133)
| ~ m1_relset_1(X134,X132,X133) )
& ( m1_relset_1(X134,X132,X133)
| ~ m2_relset_1(X134,X132,X133) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
fof(c_0_30,plain,
! [X65] :
( ( ~ l1_lattices(X65)
| m2_relset_1(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65)) )
& ( ~ l1_lattices(X65)
| v1_funct_2(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65)) )
& ( ~ l1_lattices(X65)
| v1_funct_1(u1_lattices(X65)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
cnf(c_0_31,plain,
( ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,plain,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X3,X1)
| u1_lattices(esk1_0) = X1 ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( ~ l1_lattices(X1)
| m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_37,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X3,X1)
| u1_lattices(esk1_0) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_40,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| u1_lattices(esk1_0) = u1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_39]) ).
fof(c_0_41,plain,
! [X57] :
( ( ~ l3_lattices(X57)
| l2_lattices(X57) )
& ( ~ l3_lattices(X57)
| l1_lattices(X57) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
fof(c_0_42,plain,
! [X66] :
( ( ~ l2_lattices(X66)
| m2_relset_1(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66)) )
& ( ~ l2_lattices(X66)
| v1_funct_2(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66)) )
& ( ~ l2_lattices(X66)
| v1_funct_1(u2_lattices(X66)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
fof(c_0_43,plain,
! [X10] :
( X10 = g3_lattices(u1_struct_0(X10),u2_lattices(X10),u1_lattices(X10))
| ~ v3_lattices(X10)
| ~ l3_lattices(X10) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_44,plain,
! [X40,X41,X42] :
( ( ~ m1_relset_1(X42,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X42)
| ~ m1_relset_1(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X41)
| l3_lattices(g3_lattices(X40,X41,X42)) )
& ( ~ m1_relset_1(X42,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X42)
| ~ m1_relset_1(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X41)
| v3_lattices(g3_lattices(X40,X41,X42)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])]) ).
cnf(c_0_45,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_48,plain,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| v1_funct_1(u1_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_40]) ).
cnf(c_0_50,plain,
( ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| l3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_53,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
cnf(c_0_54,plain,
( ~ l2_lattices(X1)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_55,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_56,plain,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_57,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| v1_funct_1(u1_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_46]),c_0_47])]) ).
cnf(c_0_58,plain,
( ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| g3_lattices(u1_struct_0(g3_lattices(X1,X2,X3)),u2_lattices(g3_lattices(X1,X2,X3)),u1_lattices(g3_lattices(X1,X2,X3))) = g3_lattices(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_60,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v1_funct_1(u1_lattices(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
cnf(c_0_63,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_58,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_47])]) ).
cnf(c_0_65,negated_conjecture,
v1_funct_1(u1_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_60]),c_0_47])]) ).
cnf(c_0_66,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_46]),c_0_47])]) ).
cnf(c_0_67,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_40]),c_0_64]),c_0_65])]),c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_46]),c_0_47])]) ).
cnf(c_0_69,negated_conjecture,
( ~ l2_lattices(esk1_0)
| g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_70,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_60]),c_0_47])]) ).
cnf(c_0_71,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_72,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| u1_lattices(esk1_0) = u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
cnf(c_0_73,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| u2_lattices(esk1_0) = X1 ),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_74,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_72]) ).
cnf(c_0_75,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| u2_lattices(esk1_0) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_76,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_46]),c_0_47])]) ).
cnf(c_0_77,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| u2_lattices(esk1_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_46]),c_0_47])]) ).
cnf(c_0_78,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_52,c_0_32]) ).
cnf(c_0_79,negated_conjecture,
( ~ l2_lattices(esk1_0)
| u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_80,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_81,negated_conjecture,
( ~ l2_lattices(esk1_0)
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| u2_lattices(esk1_0) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_82,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_83,negated_conjecture,
u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_60]),c_0_47])]) ).
cnf(c_0_84,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk1_0) = X1 ),
inference(spm,[status(thm)],[c_0_80,c_0_32]) ).
cnf(c_0_85,negated_conjecture,
( ~ l2_lattices(esk1_0)
| u2_lattices(esk1_0) = u2_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_46]),c_0_47])]) ).
cnf(c_0_87,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_70,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk1_0) = X1 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_36]),c_0_37]),c_0_38]) ).
cnf(c_0_89,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( ~ l2_lattices(esk1_0)
| v1_funct_1(u2_lattices(esk2_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( ~ l2_lattices(esk1_0)
| l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_54]),c_0_55]),c_0_56]) ).
cnf(c_0_92,negated_conjecture,
( ~ l2_lattices(esk1_0)
| u2_lattices(esk1_0) = u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_81,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk1_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_46]),c_0_47])]) ).
cnf(c_0_94,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_60]),c_0_47])]) ).
cnf(c_0_95,negated_conjecture,
v1_funct_1(u2_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_60]),c_0_47])]) ).
cnf(c_0_96,negated_conjecture,
( ~ l2_lattices(esk1_0)
| m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_54,c_0_85]) ).
cnf(c_0_97,negated_conjecture,
( ~ v1_funct_1(X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| g3_lattices(X2,X1,X3) != g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| X1 = u2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_32]) ).
cnf(c_0_98,negated_conjecture,
( ~ l1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_36,c_0_83]) ).
cnf(c_0_99,negated_conjecture,
l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_60]),c_0_47])]) ).
cnf(c_0_100,negated_conjecture,
( ~ l1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_38,c_0_83]) ).
cnf(c_0_101,negated_conjecture,
( ~ l2_lattices(esk1_0)
| u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u2_lattices(esk2_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_92]) ).
cnf(c_0_102,negated_conjecture,
( ~ l2_lattices(esk1_0)
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk1_0) = X1 ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_85]),c_0_94]),c_0_95])]),c_0_96]) ).
cnf(c_0_103,negated_conjecture,
( ~ v1_funct_1(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(u2_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_1(u1_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| u2_lattices(g3_lattices(X1,X2,X3)) = u2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_58]) ).
cnf(c_0_104,negated_conjecture,
m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_46]),c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_46]),c_0_99])]) ).
cnf(c_0_106,negated_conjecture,
u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u2_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_60]),c_0_47])]) ).
cnf(c_0_107,negated_conjecture,
( g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk1_0) = X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_60]),c_0_47])]) ).
fof(c_0_108,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_109,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
cnf(c_0_110,negated_conjecture,
( ~ v1_funct_1(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ v1_funct_2(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ m1_relset_1(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| u2_lattices(esk1_0) = u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_87]),c_0_83]),c_0_104]),c_0_104]),c_0_83]),c_0_105]),c_0_105]),c_0_83]),c_0_65]),c_0_65])]) ).
cnf(c_0_111,negated_conjecture,
( ~ l2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(spm,[status(thm)],[c_0_56,c_0_106]) ).
cnf(c_0_112,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_107]) ).
fof(c_0_113,plain,
! [X1] :
( ( l1_struct_0(X1)
& ~ v3_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_114,plain,
! [X60,X61] :
( m1_subset_1(X61,k1_zfmisc_1(u1_struct_0(X60)))
| ~ m2_lattice4(X61,X60)
| ~ l3_lattices(X60)
| ~ v10_lattices(X60)
| v3_struct_0(X60) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])]) ).
fof(c_0_115,plain,
! [X58,X59] :
( ( ~ l3_lattices(X58)
| ~ v10_lattices(X58)
| v3_struct_0(X58)
| ~ m2_filter_2(X59,X58)
| m2_lattice4(X59,X58) )
& ( ~ l3_lattices(X58)
| ~ v10_lattices(X58)
| v3_struct_0(X58)
| ~ m2_filter_2(X59,X58)
| ~ v1_xboole_0(X59) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])])])]) ).
fof(c_0_116,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( m1_subset_1(X6,X2)
& m1_subset_1(X5,X1)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& v1_funct_1(X4)
& ~ v1_xboole_0(X2)
& ~ v1_xboole_0(X1) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_binop_1]) ).
cnf(c_0_117,negated_conjecture,
( ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| u2_lattices(esk1_0) = u2_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_106]),c_0_106]),c_0_106]),c_0_106]),c_0_95])]) ).
cnf(c_0_118,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_60]),c_0_99])]) ).
cnf(c_0_119,negated_conjecture,
( g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| u1_struct_0(esk2_0) = X1 ),
inference(rw,[status(thm)],[c_0_107,c_0_112]) ).
cnf(c_0_120,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_87,c_0_106]) ).
fof(c_0_121,plain,
! [X83] :
( ~ v1_xboole_0(u1_struct_0(X83))
| ~ l1_struct_0(X83)
| v3_struct_0(X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])]) ).
fof(c_0_122,plain,
! [X56] :
( l1_struct_0(X56)
| ~ l2_lattices(X56) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])])]) ).
fof(c_0_123,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_filter_2]) ).
cnf(c_0_124,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_125,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_126,plain,
! [X1] :
( ( l2_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d1_lattices]) ).
fof(c_0_127,plain,
! [X123,X124,X125,X126,X127,X128] :
( k2_binop_1(X123,X124,X125,X126,X127,X128) = k1_binop_1(X126,X127,X128)
| ~ m1_subset_1(X128,X124)
| ~ m1_subset_1(X127,X123)
| ~ m1_relset_1(X126,k2_zfmisc_1(X123,X124),X125)
| ~ v1_funct_2(X126,k2_zfmisc_1(X123,X124),X125)
| ~ v1_funct_1(X126)
| v1_xboole_0(X124)
| v1_xboole_0(X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_116])])]) ).
cnf(c_0_128,negated_conjecture,
( ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| u2_lattices(esk1_0) = u2_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_129,negated_conjecture,
u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_130,negated_conjecture,
( ~ l2_lattices(esk1_0)
| m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_112]),c_0_112]),c_0_112]) ).
cnf(c_0_131,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_132,plain,
( ~ l2_lattices(X1)
| l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_133,plain,
! [X32,X33,X34,X35] :
( ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| m2_filter_2(X33,X32)
| r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| r2_hidden(esk5_2(X32,X33),X33) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| m2_filter_2(X33,X32)
| r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| r2_hidden(esk4_2(X32,X33),X33) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| m2_filter_2(X33,X32)
| ~ r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| ~ r2_hidden(esk5_2(X32,X33),X33)
| ~ r2_hidden(esk4_2(X32,X33),X33) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| m2_filter_2(X33,X32)
| m1_subset_1(esk5_2(X32,X33),u1_struct_0(X32)) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| m2_filter_2(X33,X32)
| m1_subset_1(esk4_2(X32,X33),u1_struct_0(X32)) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| ~ m2_filter_2(X33,X32)
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m1_subset_1(X35,u1_struct_0(X32))
| ~ r2_hidden(k3_lattices(X32,X34,X35),X33)
| r2_hidden(X35,X33) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| ~ m2_filter_2(X33,X32)
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m1_subset_1(X35,u1_struct_0(X32))
| ~ r2_hidden(k3_lattices(X32,X34,X35),X33)
| r2_hidden(X34,X33) )
& ( ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32)
| ~ m2_lattice4(X33,X32)
| v1_xboole_0(X33)
| ~ m2_filter_2(X33,X32)
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m1_subset_1(X35,u1_struct_0(X32))
| r2_hidden(k3_lattices(X32,X34,X35),X33)
| ~ r2_hidden(X35,X33)
| ~ r2_hidden(X34,X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])])])]) ).
fof(c_0_134,plain,
! [X153,X154] :
( ~ v1_xboole_0(X154)
| ~ r2_hidden(X153,X154) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
fof(c_0_135,plain,
! [X146,X147,X148] :
( m1_subset_1(X146,X148)
| ~ m1_subset_1(X147,k1_zfmisc_1(X148))
| ~ r2_hidden(X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_136,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_137,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_138,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_139,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_140,plain,
! [X29,X30,X31] :
( k1_lattices(X29,X30,X31) = k2_binop_1(u1_struct_0(X29),u1_struct_0(X29),u1_struct_0(X29),u2_lattices(X29),X30,X31)
| ~ m1_subset_1(X31,u1_struct_0(X29))
| ~ m1_subset_1(X30,u1_struct_0(X29))
| ~ l2_lattices(X29)
| v3_struct_0(X29) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])]) ).
cnf(c_0_141,plain,
( ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ v1_funct_1(X3)
| k2_binop_1(X1,X2,X4,X3,X5,X6) = k1_binop_1(X3,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_142,negated_conjecture,
( ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| u2_lattices(esk1_0) = u2_lattices(esk2_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_129]),c_0_129]) ).
cnf(c_0_143,negated_conjecture,
m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_60]),c_0_47])]) ).
cnf(c_0_144,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_145,plain,
( ~ l3_lattices(X4)
| ~ v10_lattices(X4)
| ~ m2_lattice4(X2,X4)
| ~ m2_filter_2(X2,X4)
| ~ m1_subset_1(X1,u1_struct_0(X4))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X1,X2)
| v3_struct_0(X4)
| v1_xboole_0(X2)
| r2_hidden(k3_lattices(X4,X1,X3),X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_146,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_147,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_148,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_47]),c_0_138])]),c_0_139]) ).
fof(c_0_149,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_lattices]) ).
cnf(c_0_150,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_140]) ).
cnf(c_0_151,plain,
( ~ v1_funct_1(X4)
| ~ m1_subset_1(X5,X7)
| ~ m1_subset_1(X6,X8)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X2)
| ~ v1_funct_2(X4,k2_zfmisc_1(X7,X8),X9)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X7,X8),X9)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v1_xboole_0(X8)
| v1_xboole_0(X7)
| k2_binop_1(X1,X2,X3,X4,X5,X6) = k2_binop_1(X7,X8,X9,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_141,c_0_141]) ).
cnf(c_0_152,negated_conjecture,
u2_lattices(esk1_0) = u2_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_143])]) ).
cnf(c_0_153,plain,
( ~ l3_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_60]) ).
cnf(c_0_154,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_155,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_156,plain,
! [X140,X141] :
( m1_subset_1(X140,X141)
| ~ r2_hidden(X140,X141) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])])]) ).
cnf(c_0_157,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X4,X1)
| ~ r2_hidden(X2,X4)
| ~ r2_hidden(X3,X4)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| r2_hidden(k3_lattices(X1,X2,X3),X4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_145,c_0_125]),c_0_146]) ).
cnf(c_0_158,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
fof(c_0_159,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(c_0_160,plain,
! [X129,X130,X131] :
( k3_lattices(X129,X130,X131) = k1_lattices(X129,X130,X131)
| ~ m1_subset_1(X131,u1_struct_0(X129))
| ~ m1_subset_1(X130,u1_struct_0(X129))
| ~ l2_lattices(X129)
| ~ v4_lattices(X129)
| v3_struct_0(X129) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_149])])]) ).
cnf(c_0_161,plain,
( ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ l2_lattices(X4)
| ~ v1_funct_2(u2_lattices(X4),k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(u2_lattices(X4),k2_zfmisc_1(X1,X2),X3)
| v3_struct_0(X4)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| k2_binop_1(X1,X2,X3,u2_lattices(X4),X5,X6) = k1_lattices(X4,X5,X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_55]),c_0_56]),c_0_54]),c_0_144]) ).
cnf(c_0_162,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk2_0),X1,X2) = k1_lattices(esk1_0,X1,X2) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_112]),c_0_139]),c_0_152]) ).
cnf(c_0_163,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_112]),c_0_112]),c_0_112]) ).
cnf(c_0_164,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_165,plain,
( ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_166,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| ~ r2_hidden(X2,esk3_0)
| r2_hidden(k3_lattices(esk1_0,X1,X2),esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_137]),c_0_47]),c_0_138])]),c_0_139]),c_0_158]),c_0_158]) ).
fof(c_0_167,plain,
! [X142,X143] :
( r2_hidden(X142,X143)
| v1_xboole_0(X143)
| ~ m1_subset_1(X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
cnf(c_0_168,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
fof(c_0_169,plain,
! [X108] :
( ( v1_xboole_0(X108)
| ~ v1_xboole_0(esk18_1(X108)) )
& ( v1_xboole_0(X108)
| m1_subset_1(esk18_1(X108),k1_zfmisc_1(X108)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])])])])]) ).
cnf(c_0_170,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_171,negated_conjecture,
( ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| k1_lattices(esk1_0,X1,X2) = k1_lattices(esk2_0,X1,X2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_143]),c_0_163])]),c_0_164]),c_0_155]) ).
fof(c_0_172,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
cnf(c_0_173,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ m2_lattice4(X2,X3)
| ~ m2_filter_2(X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(k3_lattices(X3,X4,X1),X2)
| v3_struct_0(X3)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_174,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| ~ r2_hidden(X2,esk3_0)
| m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0) ),
inference(spm,[status(thm)],[c_0_165,c_0_166]) ).
cnf(c_0_175,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_176,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_137]),c_0_47]),c_0_138])]),c_0_139]) ).
cnf(c_0_177,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk18_1(X1),k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_178,negated_conjecture,
( ~ v4_lattices(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| k1_lattices(esk2_0,X1,X2) = k3_lattices(esk1_0,X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_112]),c_0_112])]),c_0_139]) ).
fof(c_0_179,plain,
! [X14] :
( ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v9_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v8_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v7_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v6_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v5_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| v4_lattices(X14) )
& ( ~ l3_lattices(X14)
| ~ v10_lattices(X14)
| v3_struct_0(X14)
| ~ v3_struct_0(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])])]) ).
cnf(c_0_180,plain,
( ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X2,X3)
| ~ r2_hidden(k3_lattices(X3,X4,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| v3_struct_0(X3)
| r2_hidden(X1,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_173,c_0_125]),c_0_146]) ).
cnf(c_0_181,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| ~ m1_subset_1(X2,esk3_0)
| m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]) ).
cnf(c_0_182,plain,
( ~ r2_hidden(X1,esk18_1(X2))
| v1_xboole_0(X2)
| m1_subset_1(X1,X2) ),
inference(spm,[status(thm)],[c_0_147,c_0_177]) ).
cnf(c_0_183,plain,
( ~ v1_xboole_0(esk18_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
fof(c_0_184,plain,
! [X74] : m1_subset_1(esk11_1(X74),X74),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_185,negated_conjecture,
( ~ v4_lattices(esk1_0)
| ~ v4_lattices(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| k3_lattices(esk1_0,X1,X2) = k3_lattices(esk2_0,X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_178]),c_0_155]) ).
cnf(c_0_186,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_187,plain,
( ~ v10_lattices(X3)
| ~ l3_lattices(X3)
| ~ m2_filter_2(X2,X3)
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(k3_lattices(X3,X4,X1),X2)
| v3_struct_0(X3)
| r2_hidden(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_175]),c_0_168]) ).
cnf(c_0_188,negated_conjecture,
( ~ m1_subset_1(X1,esk3_0)
| ~ m1_subset_1(X2,esk3_0)
| m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_175]),c_0_176]) ).
cnf(c_0_189,negated_conjecture,
( ~ m1_subset_1(X1,esk3_0)
| m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_175]),c_0_176]) ).
cnf(c_0_190,plain,
( ~ m1_subset_1(X1,esk18_1(X2))
| v1_xboole_0(X2)
| m1_subset_1(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_175]),c_0_183]) ).
cnf(c_0_191,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
fof(c_0_192,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,u1_struct_0(X1))
& m1_subset_1(X2,u1_struct_0(X1))
& l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[commutativity_k3_lattices]) ).
cnf(c_0_193,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| k3_lattices(esk1_0,X1,X2) = k3_lattices(esk2_0,X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_47]),c_0_138])]),c_0_139]) ).
cnf(c_0_194,negated_conjecture,
( ~ m1_subset_1(X2,esk3_0)
| ~ m1_subset_1(X1,esk3_0)
| r2_hidden(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_137]),c_0_47]),c_0_138])]),c_0_139]),c_0_189]),c_0_189]) ).
cnf(c_0_195,plain,
( v1_xboole_0(X1)
| m1_subset_1(esk11_1(esk18_1(X1)),X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
fof(c_0_196,plain,
! [X23,X24,X25] :
( k3_lattices(X23,X24,X25) = k3_lattices(X23,X25,X24)
| ~ m1_subset_1(X25,u1_struct_0(X23))
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ l2_lattices(X23)
| ~ v4_lattices(X23)
| v3_struct_0(X23) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_192])])]) ).
fof(c_0_197,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X4,X2)
& r2_hidden(X3,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t15_filter_2]) ).
cnf(c_0_198,negated_conjecture,
( ~ m2_filter_2(X2,esk1_0)
| ~ r2_hidden(k3_lattices(esk2_0,X3,X1),X2)
| ~ v4_lattices(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X3,u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_193]),c_0_112]),c_0_112]),c_0_47]),c_0_138])]),c_0_139]) ).
cnf(c_0_199,negated_conjecture,
( ~ m1_subset_1(X1,esk3_0)
| r2_hidden(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_176]) ).
cnf(c_0_200,plain,
( ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
fof(c_0_201,plain,
! [X136,X137] :
( ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v1_xboole_0(X137)
| m2_filter_2(X137,X136)
| r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| r2_hidden(esk31_2(X136,X137),X137) )
& ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v1_xboole_0(X137)
| m2_filter_2(X137,X136)
| r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| r2_hidden(esk30_2(X136,X137),X137) )
& ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v1_xboole_0(X137)
| m2_filter_2(X137,X136)
| ~ r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| ~ r2_hidden(esk31_2(X136,X137),X137)
| ~ r2_hidden(esk30_2(X136,X137),X137) )
& ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v1_xboole_0(X137)
| m2_filter_2(X137,X136)
| m1_subset_1(esk31_2(X136,X137),u1_struct_0(X136)) )
& ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v1_xboole_0(X137)
| m2_filter_2(X137,X136)
| m1_subset_1(esk30_2(X136,X137),u1_struct_0(X136)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_197])])])])])]) ).
cnf(c_0_202,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(k3_lattices(esk2_0,X2,X1),esk3_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(X1,esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_137])]) ).
cnf(c_0_203,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| v3_struct_0(X1)
| k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_186]),c_0_60]) ).
cnf(c_0_204,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_205,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| r2_hidden(esk30_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_206,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ r2_hidden(esk31_2(X1,X2),X2)
| ~ r2_hidden(esk30_2(X1,X2),X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_207,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(rw,[status(thm)],[c_0_158,c_0_112]) ).
cnf(c_0_208,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| r2_hidden(esk31_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_209,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(k3_lattices(esk2_0,X1,X2),esk3_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_203]),c_0_154]),c_0_204])]),c_0_155]) ).
cnf(c_0_210,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| m2_filter_2(X2,X1)
| r2_hidden(esk30_2(X1,X2),X2)
| v1_xboole_0(X2)
| m1_subset_1(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_205]) ).
cnf(c_0_211,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_148,c_0_112]) ).
cnf(c_0_212,negated_conjecture,
~ m2_filter_2(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_213,plain,
( ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ r2_hidden(esk31_2(X2,X1),X1)
| ~ r2_hidden(esk30_2(X2,X1),X1)
| ~ r2_hidden(k3_lattices(X2,esk30_2(X2,X1),esk31_2(X2,X1)),X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| m2_filter_2(X1,X2) ),
inference(csr,[status(thm)],[c_0_206,c_0_146]) ).
cnf(c_0_214,negated_conjecture,
( ~ r2_hidden(X1,esk3_0)
| ~ r2_hidden(X2,esk3_0)
| ~ v4_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(k3_lattices(esk2_0,X1,X2),esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_193]),c_0_207]),c_0_207]) ).
cnf(c_0_215,plain,
( ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| m2_filter_2(X2,X1)
| r2_hidden(esk31_2(X1,X2),X2)
| v1_xboole_0(X2)
| m1_subset_1(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2) ),
inference(spm,[status(thm)],[c_0_165,c_0_208]) ).
cnf(c_0_216,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_211]),c_0_154]),c_0_204])]),c_0_176]),c_0_212]),c_0_155]) ).
cnf(c_0_217,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk31_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_218,negated_conjecture,
( ~ r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0)
| ~ r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0)
| ~ v4_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_211]),c_0_154]),c_0_204])]),c_0_212]),c_0_155]) ).
cnf(c_0_219,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_215]),c_0_211]),c_0_154]),c_0_204])]),c_0_176]),c_0_212]),c_0_155]) ).
cnf(c_0_220,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_211]),c_0_154]),c_0_204])]),c_0_176]),c_0_212]),c_0_155]) ).
cnf(c_0_221,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_219]),c_0_220]) ).
cnf(c_0_222,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_217]),c_0_211]),c_0_154]),c_0_204])]),c_0_176]),c_0_212]),c_0_155]) ).
cnf(c_0_223,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(X2,X1)
| m1_subset_1(esk30_2(X1,X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_224,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_211]),c_0_154]),c_0_204])]),c_0_176]),c_0_212]),c_0_155]) ).
cnf(c_0_225,negated_conjecture,
( ~ v4_lattices(esk2_0)
| ~ l2_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_60]),c_0_47])]) ).
cnf(c_0_226,negated_conjecture,
~ l2_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_186]),c_0_154]),c_0_204])]),c_0_155]) ).
cnf(c_0_227,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_60]),c_0_154])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT299+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n007.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 23:27:35 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 280.26/37.23 % Version: 3.5.1
% 280.26/37.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 280.26/37.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 280.26/37.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 280.26/37.23 % Starting new_bool_3 with 300s (1) cores
% 280.26/37.23 % Starting new_bool_1 with 300s (1) cores
% 280.26/37.23 % Starting sh5l with 300s (1) cores
% 280.26/37.23 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3820908 completed with status 0
% 280.26/37.23 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 280.26/37.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 280.26/37.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 280.26/37.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 280.26/37.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 280.26/37.23 % No SInE strategy applied
% 280.26/37.23 % Search class: FGHSM-FSLM31-MFFFFFNN
% 280.26/37.23 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 280.26/37.23 % Starting SubtermCWHack with 136s (1) cores
% 280.26/37.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 280.26/37.23 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 280.26/37.23 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 280.26/37.23 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 280.26/37.23 % G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 3820917 completed with status 0
% 280.26/37.23 % Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 280.26/37.23 % Preprocessing class: FSLSSMSSSSSNFFN.
% 280.26/37.23 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 280.26/37.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 280.26/37.23 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 280.26/37.23 % No SInE strategy applied
% 280.26/37.23 % Search class: FGHSM-FSLM31-MFFFFFNN
% 280.26/37.23 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 280.26/37.23 % Starting SubtermCWHack with 136s (1) cores
% 280.26/37.23 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 280.26/37.23 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 280.26/37.23 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 280.26/37.23 % Preprocessing time : 0.003 s
% 280.26/37.23 % Presaturation interreduction done
% 280.26/37.23
% 280.26/37.23 % Proof found!
% 280.26/37.23 % SZS status Theorem
% 280.26/37.23 % SZS output start CNFRefutation
% See solution above
% 280.26/37.24 % Parsed axioms : 89
% 280.26/37.24 % Removed by relevancy pruning/SinE : 0
% 280.26/37.24 % Initial clauses : 171
% 280.26/37.24 % Removed in clause preprocessing : 17
% 280.26/37.24 % Initial clauses in saturation : 154
% 280.26/37.24 % Processed clauses : 52108
% 280.26/37.24 % ...of these trivial : 275
% 280.26/37.24 % ...subsumed : 42231
% 280.26/37.24 % ...remaining for further processing : 9602
% 280.26/37.24 % Other redundant clauses eliminated : 0
% 280.26/37.24 % Clauses deleted for lack of memory : 0
% 280.26/37.24 % Backward-subsumed : 2493
% 280.26/37.24 % Backward-rewritten : 575
% 280.26/37.24 % Generated clauses : 398986
% 280.26/37.24 % ...of the previous two non-redundant : 388621
% 280.26/37.24 % ...aggressively subsumed : 0
% 280.26/37.24 % Contextual simplify-reflections : 1489
% 280.26/37.24 % Paramodulations : 398953
% 280.26/37.24 % Factorizations : 0
% 280.26/37.24 % NegExts : 0
% 280.26/37.24 % Equation resolutions : 33
% 280.26/37.24 % Disequality decompositions : 0
% 280.26/37.24 % Total rewrite steps : 316553
% 280.26/37.24 % ...of those cached : 316433
% 280.26/37.24 % Propositional unsat checks : 0
% 280.26/37.24 % Propositional check models : 0
% 280.26/37.24 % Propositional check unsatisfiable : 0
% 280.26/37.24 % Propositional clauses : 0
% 280.26/37.24 % Propositional clauses after purity: 0
% 280.26/37.24 % Propositional unsat core size : 0
% 280.26/37.24 % Propositional preprocessing time : 0.000
% 280.26/37.24 % Propositional encoding time : 0.000
% 280.26/37.24 % Propositional solver time : 0.000
% 280.26/37.24 % Success case prop preproc time : 0.000
% 280.26/37.24 % Success case prop encoding time : 0.000
% 280.26/37.24 % Success case prop solver time : 0.000
% 280.26/37.24 % Current number of processed clauses : 6390
% 280.26/37.24 % Positive orientable unit clauses : 115
% 280.26/37.24 % Positive unorientable unit clauses: 1
% 280.26/37.24 % Negative unit clauses : 38
% 280.26/37.24 % Non-unit-clauses : 6236
% 280.26/37.24 % Current number of unprocessed clauses: 323613
% 280.26/37.24 % ...number of literals in the above : 2913036
% 280.26/37.24 % Current number of archived formulas : 0
% 280.26/37.24 % Current number of archived clauses : 3213
% 280.26/37.24 % Clause-clause subsumption calls (NU) : 12074899
% 280.26/37.24 % Rec. Clause-clause subsumption calls : 2045487
% 280.26/37.24 % Non-unit clause-clause subsumptions : 43076
% 280.26/37.24 % Unit Clause-clause subsumption calls : 19131
% 280.26/37.24 % Rewrite failures with RHS unbound : 0
% 280.26/37.24 % BW rewrite match attempts : 1056
% 280.26/37.24 % BW rewrite match successes : 41
% 280.26/37.24 % Condensation attempts : 0
% 280.26/37.24 % Condensation successes : 0
% 280.26/37.24 % Termbank termtop insertions : 23236103
% 280.26/37.24 % Search garbage collected termcells : 2005
% 280.26/37.24
% 280.26/37.24 % -------------------------------------------------
% 280.26/37.24 % User time : 35.529 s
% 280.26/37.24 % System time : 0.528 s
% 280.26/37.24 % Total time : 36.056 s
% 280.26/37.24 % Maximum resident set size: 3980 pages
% 280.26/37.24
% 280.26/37.24 % -------------------------------------------------
% 280.26/37.24 % User time : 177.668 s
% 280.26/37.24 % System time : 3.653 s
% 280.26/37.24 % Total time : 181.322 s
% 280.26/37.24 % Maximum resident set size: 4608 pages
% 280.26/37.24 % E exiting
%------------------------------------------------------------------------------