TSTP Solution File: LAT306+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:08:29 EDT 2023
% Result : Theorem 4.08s 1.01s
% Output : CNFRefutation 4.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 157 ( 43 unt; 0 def)
% Number of atoms : 583 ( 85 equ)
% Maximal formula atoms : 36 ( 3 avg)
% Number of connectives : 667 ( 241 ~; 239 |; 129 &)
% ( 6 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 1 con; 0-3 aty)
% Number of variables : 180 ( 13 sgn; 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t32_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k17_filter_2(X1),k18_filter_2(X1,k6_lattices(X1))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t32_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',dt_l3_lattices) ).
fof(dt_k6_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',dt_k6_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.Rx3m7HAQXF/E---3.1_19403.p',dt_u1_lattices) ).
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.Rx3m7HAQXF/E---3.1_19403.p',dt_u2_lattices) ).
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',d4_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',d9_filter_2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',d2_lattice2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',redefinition_m2_relset_1) ).
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.Rx3m7HAQXF/E---3.1_19403.p',dt_k1_lattice2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',d8_filter_2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',dt_k5_filter_2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',fc6_lattice2) ).
fof(t30_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t30_filter_2) ).
fof(t20_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = k2_filter_0(X1,k5_lattices(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t20_filter_0) ).
fof(t64_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t64_lattice2) ).
fof(t79_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t79_lattice2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',free_g3_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.Rx3m7HAQXF/E---3.1_19403.p',abstractness_v3_lattices) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',redefinition_k2_filter_2) ).
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.Rx3m7HAQXF/E---3.1_19403.p',d2_filter_0) ).
fof(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',redefinition_r1_filter_2) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',t3_subset) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',reflexivity_r1_tarski) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',fc1_struct_0) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.Rx3m7HAQXF/E---3.1_19403.p',dt_l1_lattices) ).
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.Rx3m7HAQXF/E---3.1_19403.p',fc1_lattice2) ).
fof(c_0_27,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
=> r1_filter_2(u1_struct_0(X1),k17_filter_2(X1),k18_filter_2(X1,k6_lattices(X1))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t32_filter_2])]) ).
fof(c_0_28,plain,
! [X48] :
( ( l1_lattices(X48)
| ~ l3_lattices(X48) )
& ( l2_lattices(X48)
| ~ l3_lattices(X48) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_29,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& v14_lattices(esk1_0)
& ~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> m1_subset_1(k6_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_lattices]) ).
fof(c_0_31,plain,
! [X60] :
( ( v1_funct_1(u1_lattices(X60))
| ~ l1_lattices(X60) )
& ( v1_funct_2(u1_lattices(X60),k2_zfmisc_1(u1_struct_0(X60),u1_struct_0(X60)),u1_struct_0(X60))
| ~ l1_lattices(X60) )
& ( m2_relset_1(u1_lattices(X60),k2_zfmisc_1(u1_struct_0(X60),u1_struct_0(X60)),u1_struct_0(X60))
| ~ l1_lattices(X60) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_32,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X61] :
( ( v1_funct_1(u2_lattices(X61))
| ~ l2_lattices(X61) )
& ( v1_funct_2(u2_lattices(X61),k2_zfmisc_1(u1_struct_0(X61),u1_struct_0(X61)),u1_struct_0(X61))
| ~ l2_lattices(X61) )
& ( m2_relset_1(u2_lattices(X61),k2_zfmisc_1(u1_struct_0(X61),u1_struct_0(X61)),u1_struct_0(X61))
| ~ l2_lattices(X61) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
cnf(c_0_35,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_36,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_37,plain,
! [X45] :
( v3_struct_0(X45)
| ~ l2_lattices(X45)
| m1_subset_1(k6_lattices(X45),u1_struct_0(X45)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d9_filter_2]) ).
fof(c_0_39,plain,
! [X21] :
( ~ l3_lattices(X21)
| k1_lattice2(X21) = g3_lattices(u1_struct_0(X21),u1_lattices(X21),u2_lattices(X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])]) ).
fof(c_0_40,plain,
! [X134,X135,X136] :
( ( ~ m2_relset_1(X136,X134,X135)
| m1_relset_1(X136,X134,X135) )
& ( ~ m1_relset_1(X136,X134,X135)
| m2_relset_1(X136,X134,X135) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_41,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_31]) ).
cnf(c_0_42,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_43,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_34]) ).
cnf(c_0_44,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_35,c_0_33]) ).
fof(c_0_45,plain,
! [X37] :
( ( v3_lattices(k1_lattice2(X37))
| ~ l3_lattices(X37) )
& ( l3_lattices(k1_lattice2(X37))
| ~ l3_lattices(X37) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_46,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]) ).
fof(c_0_47,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_48,plain,
! [X24,X25] :
( v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ l3_lattices(X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| k5_filter_2(X24,X25) = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_49,plain,
( v3_struct_0(X1)
| m1_subset_1(k6_lattices(X1),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_51,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_52,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_2]) ).
fof(c_0_53,plain,
! [X27,X28] :
( v3_struct_0(X27)
| ~ v10_lattices(X27)
| ~ l3_lattices(X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| k18_filter_2(X27,X28) = a_2_0_filter_2(X27,X28) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_54,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v13_lattices(X1)
& l3_lattices(X1) )
=> k1_filter_0(X1) = k2_filter_0(X1,k5_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[t20_filter_0]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( v14_lattices(X1)
<=> v13_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[t64_lattice2]) ).
fof(c_0_56,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v14_lattices(X1)
& l3_lattices(X1) )
=> k6_lattices(X1) = k5_lattices(k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[t79_lattice2]) ).
fof(c_0_57,plain,
! [X105,X106,X107,X108,X109,X110] :
( ( X105 = X108
| g3_lattices(X105,X106,X107) != g3_lattices(X108,X109,X110)
| ~ v1_funct_1(X106)
| ~ v1_funct_2(X106,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X106,k2_zfmisc_1(X105,X105),X105)
| ~ v1_funct_1(X107)
| ~ v1_funct_2(X107,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X107,k2_zfmisc_1(X105,X105),X105) )
& ( X106 = X109
| g3_lattices(X105,X106,X107) != g3_lattices(X108,X109,X110)
| ~ v1_funct_1(X106)
| ~ v1_funct_2(X106,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X106,k2_zfmisc_1(X105,X105),X105)
| ~ v1_funct_1(X107)
| ~ v1_funct_2(X107,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X107,k2_zfmisc_1(X105,X105),X105) )
& ( X107 = X110
| g3_lattices(X105,X106,X107) != g3_lattices(X108,X109,X110)
| ~ v1_funct_1(X106)
| ~ v1_funct_2(X106,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X106,k2_zfmisc_1(X105,X105),X105)
| ~ v1_funct_1(X107)
| ~ v1_funct_2(X107,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X107,k2_zfmisc_1(X105,X105),X105) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_58,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_39]) ).
cnf(c_0_59,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_60,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_61,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_62,negated_conjecture,
m2_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_41,c_0_42]) ).
cnf(c_0_63,negated_conjecture,
m2_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_43,c_0_44]) ).
cnf(c_0_64,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_31]) ).
cnf(c_0_65,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_34]) ).
fof(c_0_66,plain,
! [X8] :
( ~ l3_lattices(X8)
| ~ v3_lattices(X8)
| X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
cnf(c_0_67,plain,
( v3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_69,plain,
! [X26] :
( v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ l3_lattices(X26)
| k17_filter_2(X26) = u1_struct_0(X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2]) ).
fof(c_0_71,plain,
! [X42,X43] :
( v3_struct_0(X42)
| ~ v10_lattices(X42)
| ~ l3_lattices(X42)
| ~ m1_subset_1(X43,u1_struct_0(X42))
| m1_subset_1(k5_filter_2(X42,X43),u1_struct_0(k1_lattice2(X42))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).
cnf(c_0_72,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_73,negated_conjecture,
m1_subset_1(k6_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_44]),c_0_50]) ).
cnf(c_0_74,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_75,plain,
! [X94] :
( ( ~ v3_struct_0(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v3_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v4_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v5_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v6_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v7_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v8_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v9_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) )
& ( v10_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ l3_lattices(X94) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])]) ).
fof(c_0_76,plain,
! [X161,X162] :
( ( k18_filter_2(X161,X162) = k2_filter_2(k1_lattice2(X161),k5_filter_2(X161,X162))
| ~ m1_subset_1(X162,u1_struct_0(X161))
| v3_struct_0(X161)
| ~ v10_lattices(X161)
| ~ l3_lattices(X161) )
& ( k18_filter_2(k1_lattice2(X161),k5_filter_2(X161,X162)) = k2_filter_2(X161,X162)
| ~ m1_subset_1(X162,u1_struct_0(X161))
| v3_struct_0(X161)
| ~ v10_lattices(X161)
| ~ l3_lattices(X161) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).
cnf(c_0_77,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_78,plain,
! [X155] :
( v3_struct_0(X155)
| ~ v10_lattices(X155)
| ~ l3_lattices(X155)
| v3_struct_0(X155)
| ~ v10_lattices(X155)
| ~ v13_lattices(X155)
| ~ l3_lattices(X155)
| k1_filter_0(X155) = k2_filter_0(X155,k5_lattices(X155)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
fof(c_0_79,plain,
! [X171] :
( ( ~ v14_lattices(X171)
| v13_lattices(k1_lattice2(X171))
| v3_struct_0(X171)
| ~ v10_lattices(X171)
| ~ l3_lattices(X171) )
& ( ~ v13_lattices(k1_lattice2(X171))
| v14_lattices(X171)
| v3_struct_0(X171)
| ~ v10_lattices(X171)
| ~ l3_lattices(X171) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_80,plain,
! [X173] :
( v3_struct_0(X173)
| ~ v10_lattices(X173)
| ~ v14_lattices(X173)
| ~ l3_lattices(X173)
| k6_lattices(X173) = k5_lattices(k1_lattice2(X173)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
cnf(c_0_81,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_82,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_58,c_0_33]) ).
cnf(c_0_83,negated_conjecture,
v1_funct_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_59,c_0_42]) ).
cnf(c_0_84,negated_conjecture,
v1_funct_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_60,c_0_44]) ).
cnf(c_0_85,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_61,c_0_62]) ).
cnf(c_0_86,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_61,c_0_63]) ).
cnf(c_0_87,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_64,c_0_42]) ).
cnf(c_0_88,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_65,c_0_44]) ).
cnf(c_0_89,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_66]) ).
cnf(c_0_90,negated_conjecture,
v3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_67,c_0_33]) ).
cnf(c_0_91,negated_conjecture,
l3_lattices(k1_lattice2(esk1_0)),
inference(spm,[status(thm)],[c_0_68,c_0_33]) ).
cnf(c_0_92,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_69]) ).
fof(c_0_93,plain,
! [X130,X131] :
( v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130)
| ~ m1_subset_1(X131,u1_struct_0(X130))
| k2_filter_2(X130,X131) = k2_filter_0(X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).
cnf(c_0_94,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_95,negated_conjecture,
k5_filter_2(esk1_0,k6_lattices(esk1_0)) = k6_lattices(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_33]),c_0_74])]),c_0_50]) ).
cnf(c_0_96,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_97,plain,
( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_98,negated_conjecture,
k18_filter_2(esk1_0,k6_lattices(esk1_0)) = a_2_0_filter_2(esk1_0,k6_lattices(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_73]),c_0_33]),c_0_74])]),c_0_50]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| v3_struct_0(X1)
| k1_filter_0(X1) = k2_filter_0(X1,k5_lattices(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ v13_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_100,plain,
( v13_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v14_lattices(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_101,negated_conjecture,
v14_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_102,plain,
( v3_struct_0(X1)
| k6_lattices(X1) = k5_lattices(k1_lattice2(X1))
| ~ v10_lattices(X1)
| ~ v14_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_103,negated_conjecture,
( u2_lattices(esk1_0) = X1
| g3_lattices(X2,X3,X1) != 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_84])]),c_0_85]),c_0_86]),c_0_87]),c_0_88])]) ).
cnf(c_0_104,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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_105,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k17_filter_2(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_106,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_92,c_0_74]),c_0_33])]),c_0_50]) ).
cnf(c_0_107,plain,
( v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_108,negated_conjecture,
m1_subset_1(k6_lattices(esk1_0),u1_struct_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_94,c_0_73]),c_0_33]),c_0_74])]),c_0_50]),c_0_95]) ).
cnf(c_0_109,negated_conjecture,
v10_lattices(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_74]),c_0_33])]),c_0_50]) ).
cnf(c_0_110,negated_conjecture,
k2_filter_2(k1_lattice2(esk1_0),k6_lattices(esk1_0)) = a_2_0_filter_2(esk1_0,k6_lattices(esk1_0)),
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_97,c_0_73]),c_0_33]),c_0_74])]),c_0_50]),c_0_95]),c_0_98]) ).
cnf(c_0_111,plain,
( k1_filter_0(X1) = k2_filter_0(X1,k5_lattices(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v13_lattices(X1) ),
inference(cn,[status(thm)],[c_0_99]) ).
cnf(c_0_112,negated_conjecture,
v13_lattices(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_100,c_0_101]),c_0_33]),c_0_74])]),c_0_50]) ).
cnf(c_0_113,negated_conjecture,
k5_lattices(k1_lattice2(esk1_0)) = k6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_101]),c_0_33]),c_0_74])]),c_0_50]) ).
fof(c_0_114,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]) ).
cnf(c_0_115,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_116,negated_conjecture,
u1_lattices(k1_lattice2(esk1_0)) = u2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_117,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k18_filter_2(esk1_0,k6_lattices(esk1_0))),
inference(rw,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_118,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),k6_lattices(esk1_0)) = a_2_0_filter_2(esk1_0,k6_lattices(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_91]),c_0_109])]),c_0_110]) ).
cnf(c_0_119,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),k6_lattices(esk1_0)) = k1_filter_0(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_91]),c_0_109])]),c_0_113]) ).
fof(c_0_120,plain,
! [X20] :
( v3_struct_0(X20)
| ~ v10_lattices(X20)
| ~ l3_lattices(X20)
| k1_filter_0(X20) = u1_struct_0(X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])]) ).
cnf(c_0_121,negated_conjecture,
( u1_lattices(esk1_0) = X1
| g3_lattices(X2,X1,X3) != 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(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_82]),c_0_84]),c_0_83])]),c_0_86]),c_0_85]),c_0_88]),c_0_87])]) ).
cnf(c_0_122,negated_conjecture,
g3_lattices(u1_struct_0(k1_lattice2(esk1_0)),u2_lattices(k1_lattice2(esk1_0)),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(rw,[status(thm)],[c_0_104,c_0_116]) ).
fof(c_0_123,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
cnf(c_0_124,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),a_2_0_filter_2(esk1_0,k6_lattices(esk1_0))),
inference(rw,[status(thm)],[c_0_117,c_0_98]) ).
cnf(c_0_125,negated_conjecture,
( a_2_0_filter_2(esk1_0,k6_lattices(esk1_0)) = k1_filter_0(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_126,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_120]) ).
cnf(c_0_127,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_57]) ).
cnf(c_0_128,negated_conjecture,
u2_lattices(k1_lattice2(esk1_0)) = u1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
fof(c_0_129,plain,
! [X137,X138,X139] :
( ( ~ r1_filter_2(X137,X138,X139)
| X138 = X139
| v1_xboole_0(X137)
| ~ m1_subset_1(X138,k1_zfmisc_1(X137))
| ~ m1_subset_1(X139,k1_zfmisc_1(X137)) )
& ( X138 != X139
| r1_filter_2(X137,X138,X139)
| v1_xboole_0(X137)
| ~ m1_subset_1(X138,k1_zfmisc_1(X137))
| ~ m1_subset_1(X139,k1_zfmisc_1(X137)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])]) ).
fof(c_0_130,plain,
! [X163,X164] :
( ( ~ m1_subset_1(X163,k1_zfmisc_1(X164))
| r1_tarski(X163,X164) )
& ( ~ r1_tarski(X163,X164)
| m1_subset_1(X163,k1_zfmisc_1(X164)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
fof(c_0_131,plain,
! [X146] : r1_tarski(X146,X146),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_132,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_133,plain,
! [X46] :
( ~ l1_lattices(X46)
| l1_struct_0(X46) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
cnf(c_0_134,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),k1_filter_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_135,negated_conjecture,
( k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_0(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_109]),c_0_91])]) ).
cnf(c_0_136,negated_conjecture,
( u1_struct_0(esk1_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(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_82]),c_0_84]),c_0_83])]),c_0_86]),c_0_85]),c_0_88]),c_0_87])]) ).
cnf(c_0_137,negated_conjecture,
g3_lattices(u1_struct_0(k1_lattice2(esk1_0)),u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(rw,[status(thm)],[c_0_122,c_0_128]) ).
cnf(c_0_138,plain,
( r1_filter_2(X3,X1,X2)
| v1_xboole_0(X3)
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_139,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_140,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
fof(c_0_141,plain,
! [X83] :
( v3_struct_0(X83)
| ~ l1_struct_0(X83)
| ~ v1_xboole_0(u1_struct_0(X83)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])]) ).
cnf(c_0_142,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
fof(c_0_143,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]) ).
cnf(c_0_144,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(k1_lattice2(esk1_0))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_145,negated_conjecture,
u1_struct_0(k1_lattice2(esk1_0)) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_146,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X2,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_138]) ).
cnf(c_0_147,plain,
m1_subset_1(X1,k1_zfmisc_1(X1)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_148,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_149,negated_conjecture,
l1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_142,c_0_42]) ).
fof(c_0_150,plain,
! [X82] :
( ( ~ v3_struct_0(k1_lattice2(X82))
| v3_struct_0(X82)
| ~ l3_lattices(X82) )
& ( v3_lattices(k1_lattice2(X82))
| v3_struct_0(X82)
| ~ l3_lattices(X82) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_143])])]) ).
cnf(c_0_151,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ r1_filter_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_152,plain,
( v1_xboole_0(X1)
| r1_filter_2(X1,X1,X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_153,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_50]) ).
cnf(c_0_154,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_155,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153]) ).
cnf(c_0_156,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_33])]),c_0_50]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : LAT306+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n012.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Mon Oct 2 10:21:05 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.17/0.44 Running first-order theorem proving
% 0.17/0.44 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.Rx3m7HAQXF/E---3.1_19403.p
% 4.08/1.01 # Version: 3.1pre001
% 4.08/1.01 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.08/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.08/1.01 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.08/1.01 # Starting new_bool_3 with 300s (1) cores
% 4.08/1.01 # Starting new_bool_1 with 300s (1) cores
% 4.08/1.01 # Starting sh5l with 300s (1) cores
% 4.08/1.01 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 19484 completed with status 0
% 4.08/1.01 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.08/1.01 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.08/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.08/1.01 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.08/1.01 # No SInE strategy applied
% 4.08/1.01 # Search class: FGHSM-FSLM31-SFFFFFNN
% 4.08/1.01 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.08/1.01 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 4.08/1.01 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.08/1.01 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 4.08/1.01 # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 4.08/1.01 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 4.08/1.01 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 19495 completed with status 0
% 4.08/1.01 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 4.08/1.01 # Preprocessing class: FSLSSMSSSSSNFFN.
% 4.08/1.01 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.08/1.01 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.08/1.01 # No SInE strategy applied
% 4.08/1.01 # Search class: FGHSM-FSLM31-SFFFFFNN
% 4.08/1.01 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 4.08/1.01 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S0Y with 811s (1) cores
% 4.08/1.01 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.08/1.01 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 4.08/1.01 # Preprocessing time : 0.003 s
% 4.08/1.01
% 4.08/1.01 # Proof found!
% 4.08/1.01 # SZS status Theorem
% 4.08/1.01 # SZS output start CNFRefutation
% See solution above
% 4.08/1.01 # Parsed axioms : 106
% 4.08/1.01 # Removed by relevancy pruning/SinE : 0
% 4.08/1.01 # Initial clauses : 208
% 4.08/1.01 # Removed in clause preprocessing : 13
% 4.08/1.01 # Initial clauses in saturation : 195
% 4.08/1.01 # Processed clauses : 4964
% 4.08/1.01 # ...of these trivial : 191
% 4.08/1.01 # ...subsumed : 1616
% 4.08/1.01 # ...remaining for further processing : 3157
% 4.08/1.01 # Other redundant clauses eliminated : 3
% 4.08/1.01 # Clauses deleted for lack of memory : 0
% 4.08/1.01 # Backward-subsumed : 8
% 4.08/1.01 # Backward-rewritten : 519
% 4.08/1.01 # Generated clauses : 15389
% 4.08/1.01 # ...of the previous two non-redundant : 14774
% 4.08/1.01 # ...aggressively subsumed : 0
% 4.08/1.01 # Contextual simplify-reflections : 10
% 4.08/1.01 # Paramodulations : 15369
% 4.08/1.01 # Factorizations : 2
% 4.08/1.01 # NegExts : 0
% 4.08/1.01 # Equation resolutions : 18
% 4.08/1.01 # Total rewrite steps : 15607
% 4.08/1.01 # Propositional unsat checks : 0
% 4.08/1.01 # Propositional check models : 0
% 4.08/1.01 # Propositional check unsatisfiable : 0
% 4.08/1.01 # Propositional clauses : 0
% 4.08/1.01 # Propositional clauses after purity: 0
% 4.08/1.01 # Propositional unsat core size : 0
% 4.08/1.01 # Propositional preprocessing time : 0.000
% 4.08/1.01 # Propositional encoding time : 0.000
% 4.08/1.01 # Propositional solver time : 0.000
% 4.08/1.01 # Success case prop preproc time : 0.000
% 4.08/1.01 # Success case prop encoding time : 0.000
% 4.08/1.01 # Success case prop solver time : 0.000
% 4.08/1.01 # Current number of processed clauses : 2627
% 4.08/1.01 # Positive orientable unit clauses : 1261
% 4.08/1.01 # Positive unorientable unit clauses: 0
% 4.08/1.01 # Negative unit clauses : 241
% 4.08/1.01 # Non-unit-clauses : 1125
% 4.08/1.01 # Current number of unprocessed clauses: 9878
% 4.08/1.01 # ...number of literals in the above : 33161
% 4.08/1.01 # Current number of archived formulas : 0
% 4.08/1.01 # Current number of archived clauses : 527
% 4.08/1.01 # Clause-clause subsumption calls (NU) : 139738
% 4.08/1.01 # Rec. Clause-clause subsumption calls : 93076
% 4.08/1.01 # Non-unit clause-clause subsumptions : 830
% 4.08/1.01 # Unit Clause-clause subsumption calls : 40613
% 4.08/1.01 # Rewrite failures with RHS unbound : 0
% 4.08/1.01 # BW rewrite match attempts : 4433
% 4.08/1.01 # BW rewrite match successes : 75
% 4.08/1.01 # Condensation attempts : 0
% 4.08/1.01 # Condensation successes : 0
% 4.08/1.01 # Termbank termtop insertions : 398614
% 4.08/1.01
% 4.08/1.01 # -------------------------------------------------
% 4.08/1.01 # User time : 0.524 s
% 4.08/1.01 # System time : 0.024 s
% 4.08/1.01 # Total time : 0.548 s
% 4.08/1.01 # Maximum resident set size: 2400 pages
% 4.08/1.01
% 4.08/1.01 # -------------------------------------------------
% 4.08/1.01 # User time : 2.560 s
% 4.08/1.01 # System time : 0.075 s
% 4.08/1.01 # Total time : 2.635 s
% 4.08/1.01 # Maximum resident set size: 1788 pages
% 4.08/1.01 % E---3.1 exiting
% 4.08/1.01 % E---3.1 exiting
%------------------------------------------------------------------------------