%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:04:54 PM UTC 2026
% Result : Theorem 42.60s 6.75s
% Output : CNFRefutation 42.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 26
% Syntax : Number of formulae : 190 ( 25 unt; 0 def)
% Number of atoms : 941 ( 104 equ)
% Maximal formula atoms : 80 ( 4 avg)
% Number of connectives : 1193 ( 442 ~; 474 |; 203 &)
% ( 12 <=>; 62 =>; 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 : 234 ( 22 sgn 120 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t58_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v1_filter_2(X2,X1)
& X2 != k17_filter_2(X1) )
<=> r2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(dt_k15_filter_2,axiom,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k15_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(redefinition_m1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l3_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(t44_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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/sandbox/benchmark/theBenchmark.p',t44_filter_2) ).
fof(t58_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( v2_filter_0(X2,X1)
& X2 != k1_filter_0(X1) )
<=> v1_filter_0(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_filter_0) ).
fof(d2_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_filter_0) ).
fof(d8_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_filter_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ( l3_lattices(g3_lattices(X1,X2,X3))
& v3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_funct_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X2) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X3 = X6
& X2 = X5
& X1 = X4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l2_lattices(X1)
& l1_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(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/sandbox/benchmark/theBenchmark.p',d2_lattice2) ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(dt_k1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_filter_0) ).
fof(c_0_26,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v1_filter_2(X2,X1)
& X2 != k17_filter_2(X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(assume_negation,[status(cth)],[t58_filter_2]) ).
fof(c_0_27,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ( v1_filter_2(X2,X1)
& X2 != k17_filter_2(X1) )
<=> r2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_29,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_30,plain,
! [X47,X48] :
( ( ~ l3_lattices(X47)
| ~ v10_lattices(X47)
| v3_struct_0(X47)
| ~ m2_filter_2(X48,X47)
| m2_lattice4(X48,X47) )
& ( ~ l3_lattices(X47)
| ~ v10_lattices(X47)
| v3_struct_0(X47)
| ~ m2_filter_2(X48,X47)
| ~ v1_xboole_0(X48) ) ),
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_27])])])])]) ).
fof(c_0_31,negated_conjecture,
( ( r2_filter_2(esk1_0,esk2_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)
| esk2_0 = k17_filter_2(esk1_0) )
& m2_filter_2(esk2_0,esk1_0)
& l3_lattices(esk1_0)
& v17_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_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_28])])])])]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
fof(c_0_33,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_34,plain,
! [X49,X50] :
( m1_subset_1(X50,k1_zfmisc_1(u1_struct_0(X49)))
| ~ m2_lattice4(X50,X49)
| ~ l3_lattices(X49)
| ~ v10_lattices(X49)
| v3_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_29])])])]) ).
cnf(c_0_35,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| v3_struct_0(X2)
| m2_lattice4(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,negated_conjecture,
m2_filter_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_38,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X119,X120] :
( k15_filter_2(X119,X120) = k7_filter_2(X119,X120)
| ~ m2_filter_2(X120,X119)
| ~ l3_lattices(X119)
| ~ v10_lattices(X119)
| v3_struct_0(X119) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_41,plain,
! [X1,X2] :
( ( m2_filter_2(X2,X1)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k15_filter_2]) ).
fof(c_0_42,plain,
! [X26,X27] :
( k7_filter_2(X26,X27) = X27
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| ~ l3_lattices(X26)
| ~ v10_lattices(X26)
| v3_struct_0(X26) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
cnf(c_0_43,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_44,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_35,c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_45,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_46,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
fof(c_0_47,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_2(X2,X1)
<=> m1_filter_0(X2,X1) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m1_filter_2]) ).
fof(c_0_48,plain,
! [X32,X33] :
( m1_filter_2(k15_filter_2(X32,X33),k1_lattice2(X32))
| ~ m2_filter_2(X33,X32)
| ~ l3_lattices(X32)
| ~ v10_lattices(X32)
| v3_struct_0(X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
cnf(c_0_49,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k7_filter_2(X1,X2) = X2
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,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_43,c_0_44]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_51,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_45,c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
fof(c_0_52,plain,
! [X91] :
( ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v10_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v9_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v8_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v7_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v6_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v5_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v4_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| v3_lattices(k1_lattice2(X91)) )
& ( ~ l3_lattices(X91)
| ~ v10_lattices(X91)
| v3_struct_0(X91)
| ~ v3_struct_0(k1_lattice2(X91)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).
fof(c_0_53,plain,
! [X122,X123] :
( ( ~ l3_lattices(X122)
| ~ v10_lattices(X122)
| v3_struct_0(X122)
| m1_filter_2(X123,X122)
| ~ m1_filter_0(X123,X122) )
& ( ~ l3_lattices(X122)
| ~ v10_lattices(X122)
| v3_struct_0(X122)
| m1_filter_0(X123,X122)
| ~ m1_filter_2(X123,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_47])])])])]) ).
cnf(c_0_54,plain,
( ~ m2_filter_2(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_2(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,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_49,c_0_50]),c_0_51]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_56,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v10_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_57,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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]) ).
fof(c_0_58,plain,
! [X1] :
( ( l3_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_59,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_2(X1,X2)
| v3_struct_0(X2)
| m1_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
m1_filter_2(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_54,c_0_36]),c_0_55]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_61,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_56,c_0_37]),c_0_38])]),c_0_39]) ).
fof(c_0_62,plain,
! [X37] :
( ( ~ l3_lattices(X37)
| l3_lattices(k1_lattice2(X37)) )
& ( ~ l3_lattices(X37)
| v3_lattices(k1_lattice2(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_63,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v17_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& ~ v3_struct_0(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
fof(c_0_64,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(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_65,plain,
! [X1] :
( ( l3_lattices(X1)
& v17_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ( v2_filter_0(X2,X1)
& X2 != k1_filter_0(X1) )
<=> v1_filter_0(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t58_filter_0]) ).
fof(c_0_66,plain,
! [X132,X133] :
( ( ~ l3_lattices(X132)
| ~ v10_lattices(X132)
| v3_struct_0(X132)
| ~ m2_filter_2(X133,X132)
| r2_filter_2(X132,X133)
| ~ v1_filter_0(k15_filter_2(X132,X133),k1_lattice2(X132)) )
& ( ~ l3_lattices(X132)
| ~ v10_lattices(X132)
| v3_struct_0(X132)
| ~ m2_filter_2(X133,X132)
| v1_filter_0(k15_filter_2(X132,X133),k1_lattice2(X132))
| ~ r2_filter_2(X132,X133) ) ),
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_57])])])])]) ).
fof(c_0_67,plain,
! [X78] :
( ( ~ l3_lattices(X78)
| v3_struct_0(X78)
| v3_lattices(k1_lattice2(X78)) )
& ( ~ l3_lattices(X78)
| v3_struct_0(X78)
| ~ v3_struct_0(k1_lattice2(X78)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])])]) ).
cnf(c_0_68,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).
cnf(c_0_69,plain,
( ~ l3_lattices(X1)
| l3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_70,plain,
! [X86] :
( ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v17_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v16_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v15_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v14_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v13_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v12_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v11_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v10_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v9_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v8_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v7_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v6_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v5_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v4_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| v3_lattices(k1_lattice2(X86)) )
& ( ~ l3_lattices(X86)
| ~ v17_lattices(X86)
| ~ v10_lattices(X86)
| v3_struct_0(X86)
| ~ v3_struct_0(k1_lattice2(X86)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])])]) ).
fof(c_0_71,plain,
! [X136,X137] :
( ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m2_filter_2(X137,X136)
| v1_filter_2(X137,X136)
| ~ v2_filter_0(k15_filter_2(X136,X137),k1_lattice2(X136)) )
& ( ~ l3_lattices(X136)
| ~ v10_lattices(X136)
| v3_struct_0(X136)
| ~ m2_filter_2(X137,X136)
| v2_filter_0(k15_filter_2(X136,X137),k1_lattice2(X136))
| ~ v1_filter_2(X137,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_64])])])])]) ).
fof(c_0_72,plain,
! [X141,X142] :
( ( ~ l3_lattices(X141)
| ~ v17_lattices(X141)
| ~ v10_lattices(X141)
| v3_struct_0(X141)
| ~ m1_filter_0(X142,X141)
| ~ v1_filter_0(X142,X141)
| v2_filter_0(X142,X141) )
& ( ~ l3_lattices(X141)
| ~ v17_lattices(X141)
| ~ v10_lattices(X141)
| v3_struct_0(X141)
| ~ m1_filter_0(X142,X141)
| ~ v1_filter_0(X142,X141)
| X142 != k1_filter_0(X141) )
& ( ~ l3_lattices(X141)
| ~ v17_lattices(X141)
| ~ v10_lattices(X141)
| v3_struct_0(X141)
| ~ m1_filter_0(X142,X141)
| v1_filter_0(X142,X141)
| ~ v2_filter_0(X142,X141)
| X142 = k1_filter_0(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_65])])])])]) ).
cnf(c_0_73,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ r2_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_74,plain,
( ~ l3_lattices(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| m1_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_37])]) ).
cnf(c_0_76,plain,
( ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v17_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_78,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_filter_2(X1,X2)
| v3_struct_0(X2)
| v2_filter_0(k15_filter_2(X2,X1),k1_lattice2(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_79,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| v1_filter_2(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_80,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v1_filter_0(X1,X2)
| v3_struct_0(X2)
| v2_filter_0(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,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_73,c_0_55]),c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_82,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_74,c_0_75]),c_0_37])]),c_0_39]) ).
cnf(c_0_83,negated_conjecture,
v17_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_76,c_0_37]),c_0_77]),c_0_38])]),c_0_39]) ).
cnf(c_0_84,negated_conjecture,
( r2_filter_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_55]),c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_85,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]),c_0_83]),c_0_61])]),c_0_84]) ).
cnf(c_0_86,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v2_filter_0(esk2_0,k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_69]),c_0_37])]) ).
fof(c_0_87,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_filter_0(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d2_filter_0]) ).
fof(c_0_88,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k17_filter_2(X1) = u1_struct_0(X1) ),
inference(fof_simplification,[status(thm)],[d8_filter_2]) ).
cnf(c_0_89,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v2_filter_0(X1,X2)
| v3_struct_0(X2)
| v1_filter_0(X1,X2)
| X1 = k1_filter_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_90,negated_conjecture,
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_74,c_0_86]),c_0_37])]),c_0_39]) ).
fof(c_0_91,plain,
! [X24] :
( k1_filter_0(X24) = u1_struct_0(X24)
| ~ l3_lattices(X24)
| ~ v10_lattices(X24)
| v3_struct_0(X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
fof(c_0_92,plain,
! [X28] :
( k17_filter_2(X28) = u1_struct_0(X28)
| ~ l3_lattices(X28)
| ~ v10_lattices(X28)
| v3_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
cnf(c_0_93,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| k1_filter_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_82]),c_0_83]),c_0_61])]) ).
cnf(c_0_94,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k1_filter_0(X1) = u1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_95,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])])]) ).
fof(c_0_96,plain,
! [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)
| v1_funct_2(u1_lattices(X54),k2_zfmisc_1(u1_struct_0(X54),u1_struct_0(X54)),u1_struct_0(X54)) )
& ( ~ l1_lattices(X54)
| v1_funct_1(u1_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_97,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k17_filter_2(X1) = u1_struct_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v2_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| v1_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_99,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_filter_2(X2,X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| v3_struct_0(X1)
| r2_filter_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_100,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| k1_filter_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_69]),c_0_37])]) ).
cnf(c_0_101,plain,
( ~ v10_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1)
| v3_struct_0(k1_lattice2(X1))
| k1_filter_0(k1_lattice2(X1)) = u1_struct_0(k1_lattice2(X1)) ),
inference(spm,[status(thm)],[c_0_94,c_0_69]) ).
fof(c_0_102,plain,
! [X29,X30,X31] :
( ( ~ m1_relset_1(X31,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_2(X31,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X30,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_2(X30,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_1(X30)
| l3_lattices(g3_lattices(X29,X30,X31)) )
& ( ~ m1_relset_1(X31,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_2(X31,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_1(X31)
| ~ m1_relset_1(X30,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_2(X30,k2_zfmisc_1(X29,X29),X29)
| ~ v1_funct_1(X30)
| v3_lattices(g3_lattices(X29,X30,X31)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])])]) ).
cnf(c_0_103,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_104,plain,
( ~ l1_lattices(X1)
| m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_105,plain,
! [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)
| v1_funct_2(u2_lattices(X55),k2_zfmisc_1(u1_struct_0(X55),u1_struct_0(X55)),u1_struct_0(X55)) )
& ( ~ l2_lattices(X55)
| v1_funct_1(u2_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_106,negated_conjecture,
( ~ r2_filter_2(esk1_0,esk2_0)
| ~ v1_filter_2(esk2_0,esk1_0)
| esk2_0 = k17_filter_2(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_107,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_97,c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_108,negated_conjecture,
( ~ v2_filter_0(esk2_0,k1_lattice2(esk1_0))
| v1_filter_2(esk2_0,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_55]),c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_109,negated_conjecture,
( ~ v1_filter_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_99,c_0_55]),c_0_36]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_110,negated_conjecture,
( v1_filter_0(esk2_0,k1_lattice2(esk1_0))
| k1_filter_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_100]),c_0_37])]),c_0_39]) ).
cnf(c_0_111,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| k1_filter_0(k1_lattice2(esk1_0)) = u1_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_61]),c_0_37])]) ).
cnf(c_0_112,plain,
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| l3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_113,plain,
( ~ l1_lattices(X1)
| m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_114,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_115,plain,
( ~ l1_lattices(X1)
| v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_116,plain,
( ~ l2_lattices(X1)
| m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_117,negated_conjecture,
( ~ v1_filter_2(esk2_0,esk1_0)
| ~ r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(rw,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_118,negated_conjecture,
v1_filter_2(esk2_0,esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_90])]) ).
cnf(c_0_119,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| k1_filter_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_120,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_74,c_0_111]),c_0_37])]),c_0_39]) ).
cnf(c_0_121,plain,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| l3_lattices(g3_lattices(u1_struct_0(X1),X2,u1_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_122,plain,
( ~ l2_lattices(X1)
| m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_103,c_0_116]) ).
cnf(c_0_123,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_124,plain,
( ~ l2_lattices(X1)
| v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_125,negated_conjecture,
( ~ r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
cnf(c_0_126,negated_conjecture,
( r2_filter_2(esk1_0,esk2_0)
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
fof(c_0_127,plain,
! [X9] :
( X9 = g3_lattices(u1_struct_0(X9),u2_lattices(X9),u1_lattices(X9))
| ~ v3_lattices(X9)
| ~ l3_lattices(X9) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
fof(c_0_128,plain,
! [X92,X93,X94,X95,X96,X97] :
( ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X94 = X97 )
& ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X93 = X96 )
& ( ~ m1_relset_1(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X94,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X94)
| ~ m1_relset_1(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_2(X93,k2_zfmisc_1(X92,X92),X92)
| ~ v1_funct_1(X93)
| g3_lattices(X92,X93,X94) != g3_lattices(X95,X96,X97)
| X92 = X95 ) ),
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_129,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| l3_lattices(g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
fof(c_0_131,plain,
! [X42] :
( ( ~ l3_lattices(X42)
| l2_lattices(X42) )
& ( ~ l3_lattices(X42)
| l1_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_132,plain,
( ~ v3_lattices(X1)
| ~ l3_lattices(X1)
| X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_133,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_134,negated_conjecture,
( ~ l1_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))))
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_136,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_137,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v3_lattices(k1_lattice2(esk1_0))
| u1_struct_0(esk1_0) = esk2_0
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) = k1_lattice2(esk1_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_130]) ).
cnf(c_0_138,plain,
( ~ l3_lattices(X1)
| v3_lattices(k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_139,plain,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1)
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_140,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))))
| u1_struct_0(esk1_0) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136]) ).
cnf(c_0_141,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| u1_struct_0(esk1_0) = esk2_0
| g3_lattices(esk2_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_137,c_0_138]),c_0_37])]) ).
cnf(c_0_142,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_143,negated_conjecture,
( l3_lattices(g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))))
| u1_struct_0(esk1_0) = esk2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_69]),c_0_37])]) ).
cnf(c_0_144,negated_conjecture,
( u1_struct_0(esk1_0) = esk2_0
| g3_lattices(esk2_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_141,c_0_69]),c_0_37])]) ).
cnf(c_0_145,negated_conjecture,
( ~ l1_lattices(k1_lattice2(esk1_0))
| ~ l2_lattices(k1_lattice2(esk1_0))
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| esk2_0 = X1
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_142,c_0_130]) ).
cnf(c_0_146,negated_conjecture,
( l3_lattices(k1_lattice2(esk1_0))
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_147,negated_conjecture,
( ~ l1_lattices(k1_lattice2(esk1_0))
| g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| esk2_0 = X1
| u1_struct_0(esk1_0) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_135]),c_0_146]) ).
cnf(c_0_148,negated_conjecture,
( g3_lattices(esk2_0,u2_lattices(k1_lattice2(esk1_0)),u1_lattices(k1_lattice2(esk1_0))) != g3_lattices(X1,X2,X3)
| esk2_0 = X1
| u1_struct_0(esk1_0) = esk2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_136]),c_0_146]) ).
cnf(c_0_149,negated_conjecture,
( g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0)
| esk2_0 = X1
| u1_struct_0(esk1_0) = esk2_0 ),
inference(spm,[status(thm)],[c_0_148,c_0_144]) ).
fof(c_0_150,plain,
! [X25] :
( k1_lattice2(X25) = g3_lattices(u1_struct_0(X25),u1_lattices(X25),u2_lattices(X25))
| ~ l3_lattices(X25) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_lattice2])])]) ).
fof(c_0_151,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
cnf(c_0_152,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),X1,X2) != k1_lattice2(esk1_0)
| u1_struct_0(esk1_0) = esk2_0 ),
inference(ef,[status(thm)],[c_0_149]) ).
cnf(c_0_153,plain,
( ~ l3_lattices(X1)
| k1_lattice2(X1) = g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
fof(c_0_154,plain,
! [X43,X44] :
( ( ~ l3_lattices(X43)
| ~ v10_lattices(X43)
| v3_struct_0(X43)
| ~ m1_filter_0(X44,X43)
| m1_subset_1(X44,k1_zfmisc_1(u1_struct_0(X43))) )
& ( ~ l3_lattices(X43)
| ~ v10_lattices(X43)
| v3_struct_0(X43)
| ~ m1_filter_0(X44,X43)
| ~ v1_xboole_0(X44) ) ),
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_151])])])])]) ).
cnf(c_0_155,negated_conjecture,
u1_struct_0(esk1_0) = esk2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_37])]) ).
cnf(c_0_156,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| v3_struct_0(X2)
| m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
fof(c_0_157,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m1_filter_0(k1_filter_0(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k1_filter_0]) ).
cnf(c_0_158,negated_conjecture,
( ~ m1_subset_1(X1,k1_zfmisc_1(esk2_0))
| k7_filter_2(esk1_0,X1) = X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_155]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_159,negated_conjecture,
( ~ m1_filter_0(X1,esk1_0)
| m1_subset_1(X1,k1_zfmisc_1(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_155]),c_0_37]),c_0_38])]),c_0_39]) ).
fof(c_0_160,plain,
! [X35] :
( m1_filter_0(k1_filter_0(X35),X35)
| ~ l3_lattices(X35)
| ~ v10_lattices(X35)
| v3_struct_0(X35) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_157])])]) ).
cnf(c_0_161,negated_conjecture,
( ~ m1_filter_0(X1,esk1_0)
| k7_filter_2(esk1_0,X1) = X1 ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_162,plain,
( ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X2)
| v3_lattices(g3_lattices(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_163,plain,
( ~ l3_lattices(X2)
| ~ v17_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v1_filter_0(X1,X2)
| X1 != k1_filter_0(X2)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_164,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(k1_filter_0(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_165,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ m1_filter_0(X1,esk1_0)
| k15_filter_2(esk1_0,X1) = X1 ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_161]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_166,plain,
( ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| g3_lattices(u1_struct_0(X1),X3,u2_lattices(X1)) != g3_lattices(X2,X4,X5)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_167,plain,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| l3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_168,plain,
( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ m1_relset_1(X2,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1)
| v3_lattices(g3_lattices(u1_struct_0(X1),X2,u2_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_122]),c_0_123]),c_0_124]) ).
cnf(c_0_169,plain,
( ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ v1_filter_0(k1_filter_0(X1),X1)
| v3_struct_0(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_163]),c_0_164]) ).
cnf(c_0_170,negated_conjecture,
( ~ m2_filter_2(X1,esk1_0)
| ~ r2_filter_2(esk1_0,X1)
| ~ m1_filter_0(X1,esk1_0)
| v1_filter_0(X1,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_73,c_0_165]),c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_171,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1)) != g3_lattices(X2,X3,X4)
| u1_struct_0(X1) = X2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_172,negated_conjecture,
g3_lattices(esk2_0,u1_lattices(esk1_0),u2_lattices(esk1_0)) = k1_lattice2(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_155]),c_0_37])]) ).
cnf(c_0_173,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| l3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_174,plain,
( ~ l1_lattices(X1)
| ~ l2_lattices(X1)
| v3_lattices(g3_lattices(u1_struct_0(X1),u1_lattices(X1),u2_lattices(X1))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_113]),c_0_114]),c_0_115]) ).
cnf(c_0_175,negated_conjecture,
k1_filter_0(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_94,c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_176,negated_conjecture,
( esk2_0 != k17_filter_2(esk1_0)
| r2_filter_2(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_177,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m2_filter_2(u1_struct_0(k1_lattice2(esk1_0)),esk1_0)
| ~ r2_filter_2(esk1_0,u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),esk1_0)
| 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_83]),c_0_61]),c_0_120]),c_0_120]),c_0_120])]) ).
cnf(c_0_178,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| g3_lattices(X1,X2,X3) != k1_lattice2(esk1_0)
| esk2_0 = X1 ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_155]),c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| l3_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_155]),c_0_172]) ).
cnf(c_0_180,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| v3_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_155]),c_0_172]) ).
cnf(c_0_181,negated_conjecture,
m1_filter_0(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_164,c_0_37]),c_0_175]),c_0_38])]),c_0_39]) ).
cnf(c_0_182,negated_conjecture,
( u1_struct_0(esk1_0) != esk2_0
| r2_filter_2(esk1_0,esk2_0) ),
inference(rw,[status(thm)],[c_0_176,c_0_107]) ).
cnf(c_0_183,negated_conjecture,
( ~ l3_lattices(k1_lattice2(esk1_0))
| ~ m2_filter_2(u1_struct_0(k1_lattice2(esk1_0)),esk1_0)
| ~ r2_filter_2(esk1_0,u1_struct_0(k1_lattice2(esk1_0)))
| ~ m1_filter_0(u1_struct_0(k1_lattice2(esk1_0)),esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_177]),c_0_37])]),c_0_39]) ).
cnf(c_0_184,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0)
| u1_struct_0(k1_lattice2(esk1_0)) = esk2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_132])]),c_0_179]),c_0_180]) ).
cnf(c_0_185,negated_conjecture,
m1_filter_0(esk2_0,esk1_0),
inference(rw,[status(thm)],[c_0_181,c_0_155]) ).
cnf(c_0_186,negated_conjecture,
r2_filter_2(esk1_0,esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_155])]) ).
cnf(c_0_187,negated_conjecture,
( ~ l1_lattices(esk1_0)
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),c_0_186]),c_0_36])]),c_0_179]) ).
cnf(c_0_188,negated_conjecture,
~ l1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_135]),c_0_37])]) ).
cnf(c_0_189,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_136]),c_0_37])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT322+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.44 % Computer : n016.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Sun Sep 20 23:41:53 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.60/6.75 % Version: 3.5.1
% 42.60/6.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 42.60/6.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.60/6.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 42.60/6.75 % Starting new_bool_3 with 300s (1) cores
% 42.60/6.75 % Starting new_bool_1 with 300s (1) cores
% 42.60/6.75 % Starting sh5l with 300s (1) cores
% 42.60/6.75 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1058010 completed with status 0
% 42.60/6.75 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 42.60/6.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 42.60/6.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.60/6.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 42.60/6.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 42.60/6.75 % No SInE strategy applied
% 42.60/6.75 % Search class: FGHSM-FSLM31-MFFFFFNN
% 42.60/6.75 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 42.60/6.75 % Starting SubtermCWHack with 136s (1) cores
% 42.60/6.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 42.60/6.75 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 42.60/6.75 % Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 42.60/6.75 % Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 42.60/6.75 % G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 1058018 completed with status 0
% 42.60/6.75 % Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 42.60/6.75 % Preprocessing class: FSLSSMSSSSSNFFN.
% 42.60/6.75 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 42.60/6.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 42.60/6.75 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 42.60/6.75 % No SInE strategy applied
% 42.60/6.75 % Search class: FGHSM-FSLM31-MFFFFFNN
% 42.60/6.75 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 42.60/6.75 % Starting SubtermCWHack with 136s (1) cores
% 42.60/6.75 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 42.60/6.75 % Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 136s (1) cores
% 42.60/6.75 % Preprocessing time : 0.005 s
% 42.60/6.75 % Presaturation interreduction done
% 42.60/6.75
% 42.60/6.75 % Proof found!
% 42.60/6.75 % SZS status Theorem
% 42.60/6.75 % SZS output start CNFRefutation
% See solution above
% 42.60/6.75 % Parsed axioms : 99
% 42.60/6.75 % Removed by relevancy pruning/SinE : 0
% 42.60/6.75 % Initial clauses : 267
% 42.60/6.75 % Removed in clause preprocessing : 17
% 42.60/6.75 % Initial clauses in saturation : 250
% 42.60/6.75 % Processed clauses : 18461
% 42.60/6.75 % ...of these trivial : 346
% 42.60/6.75 % ...subsumed : 7576
% 42.60/6.75 % ...remaining for further processing : 10539
% 42.60/6.75 % Other redundant clauses eliminated : 29
% 42.60/6.75 % Clauses deleted for lack of memory : 0
% 42.60/6.75 % Backward-subsumed : 2141
% 42.60/6.75 % Backward-rewritten : 1312
% 42.60/6.75 % Generated clauses : 27089
% 42.60/6.75 % ...of the previous two non-redundant : 25123
% 42.60/6.75 % ...aggressively subsumed : 0
% 42.60/6.75 % Contextual simplify-reflections : 770
% 42.60/6.75 % Paramodulations : 27022
% 42.60/6.75 % Factorizations : 19
% 42.60/6.75 % NegExts : 0
% 42.60/6.75 % Equation resolutions : 48
% 42.60/6.75 % Disequality decompositions : 0
% 42.60/6.75 % Total rewrite steps : 12761
% 42.60/6.75 % ...of those cached : 11739
% 42.60/6.75 % Propositional unsat checks : 2
% 42.60/6.75 % Propositional check models : 2
% 42.60/6.75 % Propositional check unsatisfiable : 0
% 42.60/6.75 % Propositional clauses : 0
% 42.60/6.75 % Propositional clauses after purity: 0
% 42.60/6.75 % Propositional unsat core size : 0
% 42.60/6.75 % Propositional preprocessing time : 0.000
% 42.60/6.75 % Propositional encoding time : 0.021
% 42.60/6.75 % Propositional solver time : 0.046
% 42.60/6.75 % Success case prop preproc time : 0.000
% 42.60/6.75 % Success case prop encoding time : 0.000
% 42.60/6.75 % Success case prop solver time : 0.000
% 42.60/6.75 % Current number of processed clauses : 6862
% 42.60/6.75 % Positive orientable unit clauses : 1281
% 42.60/6.75 % Positive unorientable unit clauses: 0
% 42.60/6.75 % Negative unit clauses : 415
% 42.60/6.75 % Non-unit-clauses : 5166
% 42.60/6.75 % Current number of unprocessed clauses: 6871
% 42.60/6.75 % ...number of literals in the above : 26956
% 42.60/6.75 % Current number of archived formulas : 0
% 42.60/6.75 % Current number of archived clauses : 3676
% 42.60/6.75 % Clause-clause subsumption calls (NU) : 4050339
% 42.60/6.75 % Rec. Clause-clause subsumption calls : 2063072
% 42.60/6.75 % Non-unit clause-clause subsumptions : 7739
% 42.60/6.75 % Unit Clause-clause subsumption calls : 152524
% 42.60/6.75 % Rewrite failures with RHS unbound : 0
% 42.60/6.75 % BW rewrite match attempts : 17428
% 42.60/6.75 % BW rewrite match successes : 248
% 42.60/6.75 % Condensation attempts : 0
% 42.60/6.75 % Condensation successes : 0
% 42.60/6.75 % Termbank termtop insertions : 540587
% 42.60/6.75 % Search garbage collected termcells : 2395
% 42.60/6.75
% 42.60/6.75 % -------------------------------------------------
% 42.60/6.75 % User time : 6.048 s
% 42.60/6.75 % System time : 0.067 s
% 42.60/6.75 % Total time : 6.116 s
% 42.60/6.75 % Maximum resident set size: 4248 pages
% 42.60/6.75
% 42.60/6.75 % -------------------------------------------------
% 42.60/6.75 % User time : 30.014 s
% 42.60/6.75 % System time : 0.452 s
% 42.60/6.75 % Total time : 30.466 s
% 42.60/6.75 % Maximum resident set size: 4864 pages
% 42.60/6.75 % E exiting
%------------------------------------------------------------------------------