TSTP Solution File: LAT322+1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : LAT322+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 08:15:01 EDT 2024
% Result : Theorem 7.02s 1.40s
% Output : CNFRefutation 7.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 26
% Syntax : Number of formulae : 198 ( 42 unt; 0 def)
% Number of atoms : 916 ( 96 equ)
% Maximal formula atoms : 80 ( 4 avg)
% Number of connectives : 1114 ( 396 ~; 444 |; 204 &)
% ( 11 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 201 ( 12 sgn 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_m2_filter_2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_m2_filter_2) ).
fof(t58_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',t58_filter_2) ).
fof(dt_m2_lattice4,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_m2_lattice4) ).
fof(redefinition_k15_filter_2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',redefinition_k15_filter_2) ).
fof(d6_filter_2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',d6_filter_2) ).
fof(dt_k15_filter_2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_k15_filter_2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',redefinition_m1_filter_2) ).
fof(t44_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',t44_filter_2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_k1_lattice2) ).
fof(fc6_lattice2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',fc6_lattice2) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',d2_filter_0) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',fc1_lattice2) ).
fof(t33_filter_2,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',t33_filter_2) ).
fof(t58_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',t58_filter_0) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',fc4_filter_2) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',d8_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_l3_lattices) ).
fof(dt_u1_lattices,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_u1_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/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.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/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',abstractness_v3_lattices) ).
fof(free_g3_lattices,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('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',free_g3_lattices) ).
fof(dt_k1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_k1_filter_0) ).
fof(d2_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',d2_lattice2) ).
fof(dt_k17_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',dt_k17_filter_2) ).
fof(fc3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& 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) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p',fc3_lattices) ).
fof(c_0_26,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)],[dt_m2_filter_2]) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( X2 != k17_filter_2(X1)
& v1_filter_2(X2,X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t58_filter_2])]) ).
fof(c_0_28,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)],[dt_m2_lattice4]) ).
fof(c_0_29,plain,
! [X47,X48] :
( ( ~ v1_xboole_0(X48)
| ~ m2_filter_2(X48,X47)
| v3_struct_0(X47)
| ~ v10_lattices(X47)
| ~ l3_lattices(X47) )
& ( m2_lattice4(X48,X47)
| ~ m2_filter_2(X48,X47)
| v3_struct_0(X47)
| ~ v10_lattices(X47)
| ~ l3_lattices(X47) ) ),
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_26])])])])]) ).
fof(c_0_30,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m2_filter_2(esk2_0,esk1_0)
& ( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) )
& ( esk2_0 != k17_filter_2(esk1_0)
| r2_filter_2(esk1_0,esk2_0) )
& ( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ) ),
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_27])])])])]) ).
fof(c_0_31,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)],[redefinition_k15_filter_2]) ).
fof(c_0_32,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)],[d6_filter_2]) ).
fof(c_0_33,plain,
! [X49,X50] :
( v3_struct_0(X49)
| ~ v10_lattices(X49)
| ~ l3_lattices(X49)
| ~ m2_lattice4(X50,X49)
| m1_subset_1(X50,k1_zfmisc_1(u1_struct_0(X49))) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_34,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_39,plain,
! [X119,X120] :
( v3_struct_0(X119)
| ~ v10_lattices(X119)
| ~ l3_lattices(X119)
| ~ m2_filter_2(X120,X119)
| k15_filter_2(X119,X120) = k7_filter_2(X119,X120) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_40,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)],[dt_k15_filter_2]) ).
fof(c_0_41,plain,
! [X26,X27] :
( v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ l3_lattices(X26)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| k7_filter_2(X26,X27) = X27 ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_43,negated_conjecture,
m2_lattice4(esk2_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_34,c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_44,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_45,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)],[redefinition_m1_filter_2]) ).
fof(c_0_46,plain,
! [X32,X33] :
( v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32)
| ~ m2_filter_2(X33,X32)
| m1_filter_2(k15_filter_2(X32,X33),k1_lattice2(X32)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
m1_subset_1(esk2_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_42,c_0_43]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_49,negated_conjecture,
k7_filter_2(esk1_0,esk2_0) = k15_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_50,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( v1_filter_2(X2,X1)
<=> v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t44_filter_2]) ).
fof(c_0_51,plain,
! [X122,X123] :
( ( ~ m1_filter_2(X123,X122)
| m1_filter_0(X123,X122)
| v3_struct_0(X122)
| ~ v10_lattices(X122)
| ~ l3_lattices(X122) )
& ( ~ m1_filter_0(X123,X122)
| m1_filter_2(X123,X122)
| v3_struct_0(X122)
| ~ v10_lattices(X122)
| ~ l3_lattices(X122) ) ),
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_45])])])])]) ).
cnf(c_0_52,plain,
( v3_struct_0(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
k15_filter_2(esk1_0,esk2_0) = esk2_0,
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_47,c_0_48]),c_0_49]),c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_54,plain,
! [X136,X137] :
( ( ~ v1_filter_2(X137,X136)
| v2_filter_0(k15_filter_2(X136,X137),k1_lattice2(X136))
| ~ m2_filter_2(X137,X136)
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( ~ v2_filter_0(k15_filter_2(X136,X137),k1_lattice2(X136))
| v1_filter_2(X137,X136)
| ~ m2_filter_2(X137,X136)
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) ) ),
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_50])])])])]) ).
cnf(c_0_55,plain,
( m1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ m1_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
m1_filter_2(esk2_0,k1_lattice2(esk1_0)),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_36]),c_0_37])]),c_0_38]),c_0_53]) ).
fof(c_0_57,plain,
! [X37] :
( ( v3_lattices(k1_lattice2(X37))
| ~ l3_lattices(X37) )
& ( l3_lattices(k1_lattice2(X37))
| ~ l3_lattices(X37) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])])]) ).
fof(c_0_58,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)],[fc6_lattice2]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_60,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)],[fc1_lattice2]) ).
fof(c_0_61,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)],[t33_filter_2]) ).
cnf(c_0_62,plain,
( v2_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2))
| v3_struct_0(X2)
| ~ v1_filter_2(X1,X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_64,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
fof(c_0_66,plain,
! [X91] :
( ( ~ v3_struct_0(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v3_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v4_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v5_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v6_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v7_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v8_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v9_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) )
& ( v10_lattices(k1_lattice2(X91))
| v3_struct_0(X91)
| ~ v10_lattices(X91)
| ~ l3_lattices(X91) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
fof(c_0_67,plain,
! [X24] :
( v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ l3_lattices(X24)
| k1_filter_0(X24) = u1_struct_0(X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
fof(c_0_68,plain,
! [X78] :
( ( ~ v3_struct_0(k1_lattice2(X78))
| v3_struct_0(X78)
| ~ l3_lattices(X78) )
& ( v3_lattices(k1_lattice2(X78))
| v3_struct_0(X78)
| ~ l3_lattices(X78) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_69,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( X2 != k1_filter_0(X1)
& v2_filter_0(X2,X1) )
<=> v1_filter_0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t58_filter_0]) ).
fof(c_0_70,plain,
! [X132,X133] :
( ( ~ r2_filter_2(X132,X133)
| v1_filter_0(k15_filter_2(X132,X133),k1_lattice2(X132))
| ~ m2_filter_2(X133,X132)
| v3_struct_0(X132)
| ~ v10_lattices(X132)
| ~ l3_lattices(X132) )
& ( ~ v1_filter_0(k15_filter_2(X132,X133),k1_lattice2(X132))
| r2_filter_2(X132,X133)
| ~ m2_filter_2(X133,X132)
| v3_struct_0(X132)
| ~ v10_lattices(X132)
| ~ l3_lattices(X132) ) ),
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_61])])])])]) ).
cnf(c_0_71,negated_conjecture,
( v2_filter_0(k15_filter_2(esk1_0,esk2_0),k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk2_0) ),
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_62,c_0_63]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_72,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_36])]) ).
cnf(c_0_73,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( v3_struct_0(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_76,plain,
! [X141,X142] :
( ( X142 = k1_filter_0(X141)
| ~ v2_filter_0(X142,X141)
| v1_filter_0(X142,X141)
| ~ m1_filter_0(X142,X141)
| v3_struct_0(X141)
| ~ v10_lattices(X141)
| ~ v17_lattices(X141)
| ~ l3_lattices(X141) )
& ( X142 != k1_filter_0(X141)
| ~ v1_filter_0(X142,X141)
| ~ m1_filter_0(X142,X141)
| v3_struct_0(X141)
| ~ v10_lattices(X141)
| ~ v17_lattices(X141)
| ~ l3_lattices(X141) )
& ( v2_filter_0(X142,X141)
| ~ v1_filter_0(X142,X141)
| ~ m1_filter_0(X142,X141)
| v3_struct_0(X141)
| ~ v10_lattices(X141)
| ~ v17_lattices(X141)
| ~ l3_lattices(X141) ) ),
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_69])])])])]) ).
cnf(c_0_77,plain,
( v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| ~ r2_filter_2(X1,X2)
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_78,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| r2_filter_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_71,c_0_53]) ).
cnf(c_0_79,negated_conjecture,
( m1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_80,plain,
( k1_filter_0(k1_lattice2(X1)) = u1_struct_0(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_73]),c_0_65]),c_0_75]) ).
cnf(c_0_81,plain,
( X1 = k1_filter_0(X2)
| v1_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v2_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,negated_conjecture,
( v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
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_77,c_0_78]),c_0_53]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_83,negated_conjecture,
m1_filter_0(esk2_0,k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_79]),c_0_36])]),c_0_38]) ).
cnf(c_0_84,negated_conjecture,
k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_37]),c_0_36])]),c_0_38]) ).
fof(c_0_85,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_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))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
cnf(c_0_86,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]),c_0_84]) ).
fof(c_0_87,plain,
! [X86] :
( ( ~ v3_struct_0(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v3_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v4_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v5_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v6_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v7_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v8_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v9_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v10_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v11_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v12_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v13_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v14_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v15_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v16_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) )
& ( v17_lattices(k1_lattice2(X86))
| v3_struct_0(X86)
| ~ v10_lattices(X86)
| ~ v17_lattices(X86)
| ~ l3_lattices(X86) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])]) ).
cnf(c_0_88,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_65]),c_0_36])]) ).
cnf(c_0_89,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_90,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_91,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
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_88,c_0_89]),c_0_36]),c_0_90]),c_0_37])]),c_0_38]) ).
cnf(c_0_92,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_73]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_93,plain,
( v2_filter_0(X1,X2)
| v3_struct_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_94,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_92]),c_0_36])]),c_0_38]) ).
fof(c_0_95,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
cnf(c_0_96,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_83])]) ).
fof(c_0_97,plain,
! [X28] :
( v3_struct_0(X28)
| ~ v10_lattices(X28)
| ~ l3_lattices(X28)
| k17_filter_2(X28) = u1_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_95])])]) ).
cnf(c_0_98,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_65]),c_0_36])]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_100,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_101,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
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_98,c_0_89]),c_0_36]),c_0_90]),c_0_37])]),c_0_38]) ).
cnf(c_0_102,negated_conjecture,
( esk2_0 = k17_filter_2(esk1_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_103,negated_conjecture,
k17_filter_2(esk1_0) = u1_struct_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_37]),c_0_36])]),c_0_38]) ).
cnf(c_0_104,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
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_100,c_0_53]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_105,plain,
( v1_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_106,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_73]),c_0_36]),c_0_37])]),c_0_38]) ).
fof(c_0_107,plain,
! [X42] :
( ( l1_lattices(X42)
| ~ l3_lattices(X42) )
& ( l2_lattices(X42)
| ~ l3_lattices(X42) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
cnf(c_0_108,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| ~ r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(rw,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_109,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| r2_filter_2(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_104,c_0_94]) ).
cnf(c_0_110,negated_conjecture,
( v1_filter_2(esk2_0,esk1_0)
| ~ v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
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_105,c_0_53]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_111,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_106]),c_0_36])]),c_0_38]) ).
cnf(c_0_112,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
fof(c_0_113,plain,
! [X54] :
( ( v1_funct_1(u1_lattices(X54))
| ~ l1_lattices(X54) )
& ( v1_funct_2(u1_lattices(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54)),u1_struct_0(X54))
| ~ l1_lattices(X54) )
& ( m2_relset_1(u1_lattices(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54)),u1_struct_0(X54))
| ~ l1_lattices(X54) ) ),
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_114,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0
| ~ v1_filter_2(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| v1_filter_2(esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_116,plain,
( l1_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_65]) ).
cnf(c_0_117,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
fof(c_0_118,plain,
! [X124,X125,X126] :
( ( ~ m2_relset_1(X126,X124,X125)
| m1_relset_1(X126,X124,X125) )
& ( ~ m1_relset_1(X126,X124,X125)
| m2_relset_1(X126,X124,X125) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_119,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)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( u1_struct_0(k1_lattice2(esk1_0)) = esk2_0
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
l1_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_116,c_0_36]) ).
cnf(c_0_122,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)],[c_0_113]) ).
fof(c_0_123,plain,
! [X55] :
( ( v1_funct_1(u2_lattices(X55))
| ~ l2_lattices(X55) )
& ( v1_funct_2(u2_lattices(X55),k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55)),u1_struct_0(X55))
| ~ l2_lattices(X55) )
& ( m2_relset_1(u2_lattices(X55),k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55)),u1_struct_0(X55))
| ~ l2_lattices(X55) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
cnf(c_0_124,plain,
( l2_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_65]) ).
fof(c_0_125,plain,
! [X9] :
( ~ l3_lattices(X9)
| ~ v3_lattices(X9)
| X9 = g3_lattices(u1_struct_0(X9),u2_lattices(X9),u1_lattices(X9)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_126,plain,
! [X92,X93,X94,X95,X96,X97] :
( ( X92 = X95
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| ~ v1_funct_1(X93)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92) )
& ( X93 = X96
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| ~ v1_funct_1(X93)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92) )
& ( X94 = X97
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| ~ v1_funct_1(X93)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92) ) ),
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])])])])]) ).
cnf(c_0_127,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m2_relset_1(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121])]) ).
cnf(c_0_129,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_130,negated_conjecture,
v1_funct_2(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)),u1_struct_0(k1_lattice2(esk1_0))),u1_struct_0(k1_lattice2(esk1_0))),
inference(spm,[status(thm)],[c_0_122,c_0_121]) ).
cnf(c_0_131,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)],[c_0_123]) ).
cnf(c_0_132,negated_conjecture,
l2_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_124,c_0_36]) ).
cnf(c_0_133,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)],[c_0_123]) ).
cnf(c_0_134,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_135,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_136,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_137,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m1_relset_1(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_138,negated_conjecture,
v1_funct_1(u1_lattices(k1_lattice2(esk1_0))),
inference(spm,[status(thm)],[c_0_129,c_0_121]) ).
cnf(c_0_139,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| v1_funct_2(u1_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_130,c_0_120]) ).
cnf(c_0_140,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m2_relset_1(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_120]),c_0_132])]) ).
cnf(c_0_141,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_142,negated_conjecture,
v1_funct_2(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0)),u1_struct_0(k1_lattice2(esk1_0))),u1_struct_0(k1_lattice2(esk1_0))),
inference(spm,[status(thm)],[c_0_133,c_0_132]) ).
cnf(c_0_143,plain,
( g3_lattices(u1_struct_0(k1_lattice2(X1)),u2_lattices(k1_lattice2(X1)),u1_lattices(k1_lattice2(X1))) = k1_lattice2(X1)
| ~ l3_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_65]),c_0_135]) ).
fof(c_0_144,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k1_filter_0]) ).
cnf(c_0_145,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(esk2_0,X2,u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X3,X4)
| ~ m1_relset_1(X2,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_138])]),c_0_139]) ).
cnf(c_0_146,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| m1_relset_1(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_127,c_0_140]) ).
cnf(c_0_147,negated_conjecture,
v1_funct_1(u2_lattices(k1_lattice2(esk1_0))),
inference(spm,[status(thm)],[c_0_141,c_0_132]) ).
cnf(c_0_148,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| v1_funct_2(u2_lattices(k1_lattice2(esk1_0)),k2_zfmisc_1(esk2_0,esk2_0),esk2_0) ),
inference(spm,[status(thm)],[c_0_142,c_0_120]) ).
cnf(c_0_149,negated_conjecture,
g3_lattices(u1_struct_0(k1_lattice2(esk1_0)),u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0),
inference(spm,[status(thm)],[c_0_143,c_0_36]) ).
fof(c_0_150,plain,
! [X25] :
( ~ l3_lattices(X25)
| k1_lattice2(X25) = g3_lattices(u1_struct_0(X25),u1_lattices(X25),u2_lattices(X25)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])])]) ).
fof(c_0_151,plain,
! [X35] :
( v3_struct_0(X35)
| ~ v10_lattices(X35)
| ~ l3_lattices(X35)
| m1_filter_0(k1_filter_0(X35),X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_144])])]) ).
cnf(c_0_152,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_147])]),c_0_148]) ).
cnf(c_0_153,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_149,c_0_120]) ).
cnf(c_0_154,plain,
( k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_155,plain,
( v3_struct_0(X2)
| X1 != k1_filter_0(X2)
| ~ v1_filter_0(X1,X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_156,plain,
( v3_struct_0(X1)
| m1_filter_0(k1_filter_0(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_157,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)],[c_0_127,c_0_131]) ).
cnf(c_0_158,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_117,c_0_36]) ).
cnf(c_0_159,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| esk2_0 = X1
| g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(spm,[status(thm)],[c_0_154,c_0_36]) ).
fof(c_0_161,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k17_filter_2]) ).
cnf(c_0_162,plain,
( v3_struct_0(X1)
| ~ v1_filter_0(k1_filter_0(X1),X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_155]),c_0_156]) ).
cnf(c_0_163,negated_conjecture,
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)),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_165,negated_conjecture,
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)),
inference(spm,[status(thm)],[c_0_133,c_0_158]) ).
cnf(c_0_166,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)],[c_0_127,c_0_119]) ).
cnf(c_0_167,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_112,c_0_36]) ).
fof(c_0_168,plain,
! [X34] :
( v3_struct_0(X34)
| ~ v10_lattices(X34)
| ~ l3_lattices(X34)
| m2_filter_2(k17_filter_2(X34),X34) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_161])])]) ).
cnf(c_0_169,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_162,c_0_84]) ).
cnf(c_0_170,negated_conjecture,
m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_164]),c_0_164]),c_0_164]) ).
cnf(c_0_171,negated_conjecture,
v1_funct_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_141,c_0_158]) ).
cnf(c_0_172,negated_conjecture,
v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_164]),c_0_164]),c_0_164]) ).
cnf(c_0_173,negated_conjecture,
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)),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_174,negated_conjecture,
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)),
inference(spm,[status(thm)],[c_0_122,c_0_167]) ).
cnf(c_0_175,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| esk2_0 != k17_filter_2(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_176,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& 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) )
=> ( ~ v3_struct_0(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
inference(fof_simplification,[status(thm)],[fc3_lattices]) ).
cnf(c_0_177,plain,
( v3_struct_0(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_178,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_65]),c_0_36])]) ).
cnf(c_0_179,negated_conjecture,
( esk2_0 = X1
| g3_lattices(esk2_0,X2,u2_lattices(esk1_0)) != g3_lattices(X1,X3,X4)
| ~ m1_relset_1(X2,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_2(X2,k2_zfmisc_1(esk2_0,esk2_0),esk2_0)
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_170]),c_0_171])]),c_0_172])]) ).
cnf(c_0_180,negated_conjecture,
m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_173,c_0_164]),c_0_164]),c_0_164]) ).
cnf(c_0_181,negated_conjecture,
g3_lattices(esk2_0,u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(rw,[status(thm)],[c_0_160,c_0_164]) ).
cnf(c_0_182,negated_conjecture,
v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(esk2_0,esk2_0),esk2_0),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_164]),c_0_164]),c_0_164]) ).
cnf(c_0_183,negated_conjecture,
v1_funct_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_129,c_0_167]) ).
cnf(c_0_184,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) != esk2_0 ),
inference(rw,[status(thm)],[c_0_175,c_0_103]) ).
fof(c_0_185,plain,
! [X83,X84,X85] :
( ( ~ v3_struct_0(g3_lattices(X83,X84,X85))
| v1_xboole_0(X83)
| ~ v1_funct_1(X84)
| ~ v1_funct_2(X84,k2_zfmisc_1(X83,X83),X83)
| ~ m1_relset_1(X84,k2_zfmisc_1(X83,X83),X83)
| ~ v1_funct_1(X85)
| ~ v1_funct_2(X85,k2_zfmisc_1(X83,X83),X83)
| ~ m1_relset_1(X85,k2_zfmisc_1(X83,X83),X83) )
& ( v3_lattices(g3_lattices(X83,X84,X85))
| v1_xboole_0(X83)
| ~ v1_funct_1(X84)
| ~ v1_funct_2(X84,k2_zfmisc_1(X83,X83),X83)
| ~ m1_relset_1(X84,k2_zfmisc_1(X83,X83),X83)
| ~ v1_funct_1(X85)
| ~ v1_funct_2(X85,k2_zfmisc_1(X83,X83),X83)
| ~ m1_relset_1(X85,k2_zfmisc_1(X83,X83),X83) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])])]) ).
cnf(c_0_186,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_187,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_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_177,c_0_103]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_188,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
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_178,c_0_89]),c_0_36]),c_0_90]),c_0_37])]),c_0_38]) ).
cnf(c_0_189,negated_conjecture,
( esk2_0 = X1
| g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_180]),c_0_181]),c_0_182]),c_0_183])]) ).
cnf(c_0_190,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_164])]) ).
cnf(c_0_191,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(g3_lattices(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) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_192,negated_conjecture,
~ v1_xboole_0(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_186,c_0_187]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_193,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_73]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_194,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = esk2_0,
inference(spm,[status(thm)],[c_0_189,c_0_149]) ).
cnf(c_0_195,negated_conjecture,
v1_filter_0(esk2_0,k1_lattice2(esk1_0)),
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_77,c_0_190]),c_0_53]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]) ).
cnf(c_0_196,negated_conjecture,
~ v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_160]),c_0_171]),c_0_183])]),c_0_192]),c_0_163]),c_0_173]),c_0_165]),c_0_174])]) ).
cnf(c_0_197,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_194]),c_0_195])]),c_0_196]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT322+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n025.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 08:29:13 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.23/0.51 Running first-order theorem proving
% 0.23/0.51 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.NGMWEZohhP/E---3.1_24607.p
% 7.02/1.40 # Version: 3.1.0
% 7.02/1.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.02/1.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.02/1.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.02/1.40 # Starting new_bool_3 with 300s (1) cores
% 7.02/1.40 # Starting new_bool_1 with 300s (1) cores
% 7.02/1.40 # Starting sh5l with 300s (1) cores
% 7.02/1.40 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 24757 completed with status 0
% 7.02/1.40 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 7.02/1.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.02/1.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.02/1.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.02/1.40 # No SInE strategy applied
% 7.02/1.40 # Search class: FGHSM-FSLM31-MFFFFFNN
% 7.02/1.40 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.02/1.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 7.02/1.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.02/1.40 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 7.02/1.40 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.02/1.40 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 7.02/1.40 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 24776 completed with status 0
% 7.02/1.40 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 7.02/1.40 # Preprocessing class: FSLSSMSSSSSNFFN.
% 7.02/1.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.02/1.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 7.02/1.40 # No SInE strategy applied
% 7.02/1.40 # Search class: FGHSM-FSLM31-MFFFFFNN
% 7.02/1.40 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 7.02/1.40 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 7.02/1.40 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 7.02/1.40 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 7.02/1.40 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 7.02/1.40 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 7.02/1.40 # Preprocessing time : 0.003 s
% 7.02/1.40
% 7.02/1.40 # Proof found!
% 7.02/1.40 # SZS status Theorem
% 7.02/1.40 # SZS output start CNFRefutation
% See solution above
% 7.02/1.40 # Parsed axioms : 99
% 7.02/1.40 # Removed by relevancy pruning/SinE : 0
% 7.02/1.40 # Initial clauses : 267
% 7.02/1.40 # Removed in clause preprocessing : 17
% 7.02/1.40 # Initial clauses in saturation : 250
% 7.02/1.40 # Processed clauses : 9133
% 7.02/1.40 # ...of these trivial : 330
% 7.02/1.40 # ...subsumed : 1641
% 7.02/1.40 # ...remaining for further processing : 7162
% 7.02/1.40 # Other redundant clauses eliminated : 1
% 7.02/1.40 # Clauses deleted for lack of memory : 0
% 7.02/1.40 # Backward-subsumed : 1359
% 7.02/1.40 # Backward-rewritten : 1224
% 7.02/1.40 # Generated clauses : 18552
% 7.02/1.40 # ...of the previous two non-redundant : 16362
% 7.02/1.40 # ...aggressively subsumed : 0
% 7.02/1.40 # Contextual simplify-reflections : 241
% 7.02/1.40 # Paramodulations : 18526
% 7.02/1.40 # Factorizations : 0
% 7.02/1.40 # NegExts : 0
% 7.02/1.40 # Equation resolutions : 7
% 7.02/1.40 # Disequality decompositions : 0
% 7.02/1.40 # Total rewrite steps : 23226
% 7.02/1.40 # ...of those cached : 21478
% 7.02/1.40 # Propositional unsat checks : 0
% 7.02/1.40 # Propositional check models : 0
% 7.02/1.40 # Propositional check unsatisfiable : 0
% 7.02/1.40 # Propositional clauses : 0
% 7.02/1.40 # Propositional clauses after purity: 0
% 7.02/1.40 # Propositional unsat core size : 0
% 7.02/1.40 # Propositional preprocessing time : 0.000
% 7.02/1.40 # Propositional encoding time : 0.000
% 7.02/1.40 # Propositional solver time : 0.000
% 7.02/1.40 # Success case prop preproc time : 0.000
% 7.02/1.40 # Success case prop encoding time : 0.000
% 7.02/1.40 # Success case prop solver time : 0.000
% 7.02/1.40 # Current number of processed clauses : 4561
% 7.02/1.40 # Positive orientable unit clauses : 2596
% 7.02/1.40 # Positive unorientable unit clauses: 0
% 7.02/1.40 # Negative unit clauses : 278
% 7.02/1.40 # Non-unit-clauses : 1687
% 7.02/1.40 # Current number of unprocessed clauses: 6565
% 7.02/1.40 # ...number of literals in the above : 22490
% 7.02/1.40 # Current number of archived formulas : 0
% 7.02/1.40 # Current number of archived clauses : 2599
% 7.02/1.40 # Clause-clause subsumption calls (NU) : 1136578
% 7.02/1.40 # Rec. Clause-clause subsumption calls : 515564
% 7.02/1.40 # Non-unit clause-clause subsumptions : 2457
% 7.02/1.40 # Unit Clause-clause subsumption calls : 94196
% 7.02/1.40 # Rewrite failures with RHS unbound : 0
% 7.02/1.40 # BW rewrite match attempts : 29031
% 7.02/1.40 # BW rewrite match successes : 401
% 7.02/1.40 # Condensation attempts : 0
% 7.02/1.40 # Condensation successes : 0
% 7.02/1.40 # Termbank termtop insertions : 541498
% 7.02/1.40 # Search garbage collected termcells : 2396
% 7.02/1.40
% 7.02/1.40 # -------------------------------------------------
% 7.02/1.40 # User time : 0.843 s
% 7.02/1.40 # System time : 0.027 s
% 7.02/1.40 # Total time : 0.871 s
% 7.02/1.40 # Maximum resident set size: 2444 pages
% 7.02/1.40
% 7.02/1.40 # -------------------------------------------------
% 7.02/1.40 # User time : 4.179 s
% 7.02/1.40 # System time : 0.110 s
% 7.02/1.40 # Total time : 4.289 s
% 7.02/1.40 # Maximum resident set size: 1800 pages
% 7.02/1.40 % E---3.1 exiting
% 7.02/1.40 % E exiting
%------------------------------------------------------------------------------