%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT332+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 : n006.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 01:04:57 PM UTC 2026
% Result : Theorem 4.77s 1.05s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 32
% Syntax : Number of formulae : 208 ( 74 unt; 0 def)
% Number of atoms : 928 ( 152 equ)
% Maximal formula atoms : 88 ( 4 avg)
% Number of connectives : 1124 ( 404 ~; 446 |; 208 &)
% ( 5 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 2 con; 0-3 aty)
% Number of variables : 252 ( 16 sgn 137 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t72_filter_2,conjecture,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_filter_2) ).
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(dt_k17_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_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_k23_filter_2,axiom,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k23_filter_2) ).
fof(dt_m2_nat_lat,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_nat_lat) ).
fof(fc5_filter_2,axiom,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_filter_2) ).
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(d16_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m2_nat_lat(X3,X1)
=> ( X3 = k23_filter_2(X1,X2)
<=> ? [X4] :
( ? [X5] :
( X3 = g3_lattices(X2,X4,X5)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d16_filter_2) ).
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(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(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(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(existence_m1_filter_0,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_filter_0) ).
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(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(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(fc4_lattice2,axiom,
! [X1] :
( ( l1_lattices(X1)
& v6_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(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))
& v1_relat_1(u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_lattice2) ).
fof(t97_relat_1,axiom,
! [X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(k1_relat_1(X2),X1)
=> k7_relat_1(X2,X1) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t97_relat_1) ).
fof(reflexivity_r1_tarski,axiom,
! [X1,X2] : r1_tarski(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(redefinition_k4_relset_1,axiom,
! [X1,X2,X3] :
( m1_relset_1(X3,X1,X2)
=> k4_relset_1(X1,X2,X3) = k1_relat_1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(fc2_lattice2,axiom,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(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))
& v1_relat_1(u2_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_lattice2) ).
fof(redefinition_k1_filter_2,axiom,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_filter_2) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( v1_xboole_0(X3)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( r2_hidden(X1,X2)
| v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X2,k1_zfmisc_1(X3))
& r2_hidden(X1,X2) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(d1_funct_2,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
=> ( ( X2 = k1_xboole_0
=> ( ( v1_funct_2(X3,X1,X2)
<=> X3 = k1_xboole_0 )
| X1 = k1_xboole_0 ) )
& ( ( X2 = k1_xboole_0
=> X1 = k1_xboole_0 )
=> ( v1_funct_2(X3,X1,X2)
<=> X1 = k4_relset_1(X1,X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(d3_realset1,axiom,
! [X1] :
( v1_relat_1(X1)
=> ! [X2] : k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_realset1) ).
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(t6_boole,axiom,
! [X1] :
( v1_xboole_0(X1)
=> X1 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(fc1_xboole_0,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(c_0_32,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(assume_negation,[status(cth)],[t72_filter_2]) ).
fof(c_0_33,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]) ).
fof(c_0_34,negated_conjecture,
~ ! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( k23_filter_2(X1,k1_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
& k23_filter_2(X1,k17_filter_2(X1)) = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_35,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_filter_2(k17_filter_2(X1),X1) ),
inference(fof_simplification,[status(thm)],[dt_k17_filter_2]) ).
fof(c_0_36,plain,
! [X31] :
( k17_filter_2(X31) = u1_struct_0(X31)
| ~ l3_lattices(X31)
| ~ v10_lattices(X31)
| v3_struct_0(X31) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,negated_conjecture,
( ( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) )
& l3_lattices(esk1_0)
& v10_lattices(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_38,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_39,plain,
! [X35] :
( m2_filter_2(k17_filter_2(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_35])])]) ).
cnf(c_0_40,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_36]) ).
cnf(c_0_41,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_42,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> m2_nat_lat(k23_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k23_filter_2]) ).
fof(c_0_45,plain,
! [X56,X57] :
( ( ~ l3_lattices(X56)
| ~ v10_lattices(X56)
| v3_struct_0(X56)
| ~ m2_filter_2(X57,X56)
| m2_lattice4(X57,X56) )
& ( ~ l3_lattices(X56)
| ~ v10_lattices(X56)
| v3_struct_0(X56)
| ~ m2_filter_2(X57,X56)
| ~ v1_xboole_0(X57) ) ),
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_38])])])])]) ).
cnf(c_0_46,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_filter_2(k17_filter_2(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_47,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_40,c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_48,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( m2_nat_lat(X2,X1)
=> ( l3_lattices(X2)
& v10_lattices(X2)
& ~ v3_struct_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_nat_lat]) ).
fof(c_0_49,plain,
! [X38,X39] :
( m2_nat_lat(k23_filter_2(X38,X39),X38)
| ~ m2_lattice4(X39,X38)
| v1_xboole_0(X39)
| ~ l3_lattices(X38)
| ~ v10_lattices(X38)
| v3_struct_0(X38) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_50,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_45]) ).
cnf(c_0_51,negated_conjecture,
m2_filter_2(u1_struct_0(esk1_0),esk1_0),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_41]),c_0_42])]),c_0_43]),c_0_47]) ).
cnf(c_0_52,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_filter_2(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
fof(c_0_53,plain,
! [X60,X61] :
( ( ~ l3_lattices(X60)
| ~ v10_lattices(X60)
| v3_struct_0(X60)
| ~ m2_nat_lat(X61,X60)
| l3_lattices(X61) )
& ( ~ l3_lattices(X60)
| ~ v10_lattices(X60)
| v3_struct_0(X60)
| ~ m2_nat_lat(X61,X60)
| v10_lattices(X61) )
& ( ~ l3_lattices(X60)
| ~ v10_lattices(X60)
| v3_struct_0(X60)
| ~ m2_nat_lat(X61,X60)
| ~ v3_struct_0(X61) ) ),
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_48])])])])]) ).
cnf(c_0_54,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m2_nat_lat(k23_filter_2(X1,X2),X1)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,negated_conjecture,
m2_lattice4(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_50,c_0_51]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_56,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_51]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_57,plain,
! [X1,X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2)
& l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v10_lattices(k23_filter_2(X1,X2))
& v9_lattices(k23_filter_2(X1,X2))
& v8_lattices(k23_filter_2(X1,X2))
& v7_lattices(k23_filter_2(X1,X2))
& v6_lattices(k23_filter_2(X1,X2))
& v5_lattices(k23_filter_2(X1,X2))
& v4_lattices(k23_filter_2(X1,X2))
& v3_lattices(k23_filter_2(X1,X2))
& ~ v3_struct_0(k23_filter_2(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc5_filter_2]) ).
fof(c_0_58,plain,
! [X51] :
( ( ~ l3_lattices(X51)
| l2_lattices(X51) )
& ( ~ l3_lattices(X51)
| l1_lattices(X51) ) ),
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_59,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2)
| v3_struct_0(X2)
| l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_60,negated_conjecture,
m2_nat_lat(k23_filter_2(esk1_0,u1_struct_0(esk1_0)),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_41]),c_0_42])]),c_0_56]),c_0_43]) ).
fof(c_0_61,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_lattice4(X2,X1)
& ~ v1_xboole_0(X2) )
=> ! [X3] :
( m2_nat_lat(X3,X1)
=> ( X3 = k23_filter_2(X1,X2)
<=> ? [X4] :
( ? [X5] :
( X3 = g3_lattices(X2,X4,X5)
& X5 = k1_realset1(u1_lattices(X1),X2)
& X4 = k1_realset1(u2_lattices(X1),X2)
& m2_relset_1(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X5,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X5) )
& m2_relset_1(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_2(X4,k2_zfmisc_1(X2,X2),X2)
& v1_funct_1(X4) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d16_filter_2]) ).
fof(c_0_62,plain,
! [X105,X106] :
( ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v10_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v9_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v8_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v7_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v6_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v5_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v4_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| v3_lattices(k23_filter_2(X105,X106)) )
& ( ~ m2_lattice4(X106,X105)
| v1_xboole_0(X106)
| ~ l3_lattices(X105)
| ~ v10_lattices(X105)
| v3_struct_0(X105)
| ~ v3_struct_0(k23_filter_2(X105,X106)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])])]) ).
fof(c_0_63,plain,
! [X66] :
( ( ~ l2_lattices(X66)
| m2_relset_1(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66)) )
& ( ~ l2_lattices(X66)
| v1_funct_2(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66)) )
& ( ~ l2_lattices(X66)
| v1_funct_1(u2_lattices(X66)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])])]) ).
cnf(c_0_64,plain,
( ~ l3_lattices(X1)
| l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_65,negated_conjecture,
l3_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_66,plain,
! [X65] :
( ( ~ l1_lattices(X65)
| m2_relset_1(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65)) )
& ( ~ l1_lattices(X65)
| v1_funct_2(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65)) )
& ( ~ l1_lattices(X65)
| v1_funct_1(u1_lattices(X65)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])])]) ).
cnf(c_0_67,plain,
( ~ l3_lattices(X1)
| l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_68,plain,
! [X18,X19,X20,X23,X24] :
( ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 = k23_filter_2(X18,X19)
| X20 != g3_lattices(X19,X23,X24)
| X24 != k1_realset1(u1_lattices(X18),X19)
| X23 != k1_realset1(u2_lattices(X18),X19)
| ~ m2_relset_1(X24,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_2(X24,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X24)
| ~ m2_relset_1(X23,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_2(X23,k2_zfmisc_1(X19,X19),X19)
| ~ v1_funct_1(X23) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| X20 = g3_lattices(X19,esk2_3(X18,X19,X20),esk3_3(X18,X19,X20)) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| esk3_3(X18,X19,X20) = k1_realset1(u1_lattices(X18),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| esk2_3(X18,X19,X20) = k1_realset1(u2_lattices(X18),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| m2_relset_1(esk3_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| v1_funct_2(esk3_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| v1_funct_1(esk3_3(X18,X19,X20)) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| m2_relset_1(esk2_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| v1_funct_2(esk2_3(X18,X19,X20),k2_zfmisc_1(X19,X19),X19) )
& ( ~ l3_lattices(X18)
| ~ v10_lattices(X18)
| v3_struct_0(X18)
| ~ m2_lattice4(X19,X18)
| v1_xboole_0(X19)
| ~ m2_nat_lat(X20,X18)
| X20 != k23_filter_2(X18,X19)
| v1_funct_1(esk2_3(X18,X19,X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])])])]) ).
fof(c_0_69,plain,
! [X8] :
( X8 = g3_lattices(u1_struct_0(X8),u2_lattices(X8),u1_lattices(X8))
| ~ v3_lattices(X8)
| ~ l3_lattices(X8) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])])]) ).
cnf(c_0_70,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| v3_lattices(k23_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_71,plain,
! [X143,X144,X145] :
( ( m2_relset_1(X145,X143,X144)
| ~ m1_relset_1(X145,X143,X144) )
& ( m1_relset_1(X145,X143,X144)
| ~ m2_relset_1(X145,X143,X144) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])]) ).
cnf(c_0_72,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_63]) ).
cnf(c_0_73,negated_conjecture,
l2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,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_66]) ).
cnf(c_0_75,negated_conjecture,
l1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_67,c_0_65]) ).
cnf(c_0_76,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ m2_nat_lat(X3,X1)
| X3 != k23_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| esk2_3(X1,X2,X3) = k1_realset1(u2_lattices(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_77,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| ~ m2_lattice4(X2,X1)
| ~ m2_nat_lat(X3,X1)
| X3 != k23_filter_2(X1,X2)
| v3_struct_0(X1)
| v1_xboole_0(X2)
| esk3_3(X1,X2,X3) = k1_realset1(u1_lattices(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_78,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ? [X2] : m1_filter_0(X2,X1) ),
inference(fof_simplification,[status(thm)],[existence_m1_filter_0]) ).
fof(c_0_79,plain,
! [X108,X109,X110,X111,X112,X113] :
( ( ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X109)
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| X110 = X113 )
& ( ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X109)
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| X109 = X112 )
& ( ~ m1_relset_1(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X110,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X110)
| ~ m1_relset_1(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_2(X109,k2_zfmisc_1(X108,X108),X108)
| ~ v1_funct_1(X109)
| g3_lattices(X108,X109,X110) != g3_lattices(X111,X112,X113)
| X108 = X111 ) ),
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_80,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_69]) ).
cnf(c_0_81,negated_conjecture,
v3_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_55]),c_0_41]),c_0_42])]),c_0_56]),c_0_43]) ).
cnf(c_0_82,plain,
( ~ l2_lattices(X1)
| v1_funct_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_83,plain,
( ~ l1_lattices(X1)
| v1_funct_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_84,plain,
( ~ m2_relset_1(X1,X2,X3)
| m1_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_85,negated_conjecture,
m2_relset_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_86,negated_conjecture,
m2_relset_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_87,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_63]) ).
cnf(c_0_88,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_66]) ).
cnf(c_0_89,plain,
( ~ l3_lattices(X3)
| ~ v10_lattices(X3)
| ~ m2_lattice4(X2,X3)
| ~ m2_nat_lat(X1,X3)
| X1 != k23_filter_2(X3,X2)
| v3_struct_0(X3)
| v1_xboole_0(X2)
| X1 = g3_lattices(X2,esk2_3(X3,X2,X1),esk3_3(X3,X2,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_90,negated_conjecture,
( ~ m2_lattice4(X1,esk1_0)
| k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != k23_filter_2(esk1_0,X1)
| v1_xboole_0(X1)
| esk2_3(esk1_0,X1,k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u2_lattices(esk1_0),X1) ),
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_60]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_91,negated_conjecture,
( ~ m2_lattice4(X1,esk1_0)
| k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != k23_filter_2(esk1_0,X1)
| v1_xboole_0(X1)
| esk3_3(esk1_0,X1,k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u1_lattices(esk1_0),X1) ),
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_60]),c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_92,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v9_lattices(X1)
& v8_lattices(X1)
& v7_lattices(X1)
& v6_lattices(X1)
& v5_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
fof(c_0_93,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]) ).
fof(c_0_94,plain,
! [X71] :
( m1_filter_0(esk8_1(X71),X71)
| ~ l3_lattices(X71)
| ~ v10_lattices(X71)
| v3_struct_0(X71) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])])]) ).
cnf(c_0_95,plain,
( ~ m2_lattice4(X2,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| v10_lattices(k23_filter_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_96,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m2_nat_lat(X1,X2)
| ~ v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_97,plain,
( ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,negated_conjecture,
g3_lattices(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_65])]) ).
cnf(c_0_99,negated_conjecture,
v1_funct_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_82,c_0_73]) ).
cnf(c_0_100,negated_conjecture,
v1_funct_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_83,c_0_75]) ).
cnf(c_0_101,negated_conjecture,
m1_relset_1(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_102,negated_conjecture,
m1_relset_1(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_84,c_0_86]) ).
cnf(c_0_103,negated_conjecture,
v1_funct_2(u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_87,c_0_73]) ).
cnf(c_0_104,negated_conjecture,
v1_funct_2(u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k2_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(spm,[status(thm)],[c_0_88,c_0_75]) ).
cnf(c_0_105,negated_conjecture,
( ~ m2_lattice4(X1,esk1_0)
| k23_filter_2(esk1_0,u1_struct_0(esk1_0)) != k23_filter_2(esk1_0,X1)
| v1_xboole_0(X1)
| g3_lattices(X1,esk2_3(esk1_0,X1,k23_filter_2(esk1_0,u1_struct_0(esk1_0))),esk3_3(esk1_0,X1,k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_60]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_106,negated_conjecture,
esk2_3(esk1_0,u1_struct_0(esk1_0),k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_90]),c_0_55])]),c_0_56]) ).
cnf(c_0_107,negated_conjecture,
esk3_3(esk1_0,u1_struct_0(esk1_0),k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_91]),c_0_55])]),c_0_56]) ).
fof(c_0_108,plain,
! [X1] :
( ( l1_lattices(X1)
& v6_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u1_lattices(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))
& v1_relat_1(u1_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_lattice2]) ).
fof(c_0_109,plain,
! [X12] :
( ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v9_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v8_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v7_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v6_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v5_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| v4_lattices(X12) )
& ( ~ l3_lattices(X12)
| ~ v10_lattices(X12)
| v3_struct_0(X12)
| ~ v3_struct_0(X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_92])])])]) ).
cnf(c_0_110,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_67,c_0_41]) ).
fof(c_0_111,plain,
! [X52,X53] :
( ( ~ l3_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ m1_filter_0(X53,X52)
| m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(X52))) )
& ( ~ l3_lattices(X52)
| ~ v10_lattices(X52)
| v3_struct_0(X52)
| ~ m1_filter_0(X53,X52)
| ~ v1_xboole_0(X53) ) ),
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_93])])])])]) ).
cnf(c_0_112,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| m1_filter_0(esk8_1(X1),X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_113,negated_conjecture,
v10_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_55]),c_0_41]),c_0_42])]),c_0_56]),c_0_43]) ).
cnf(c_0_114,negated_conjecture,
~ v3_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_60]),c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_115,negated_conjecture,
( g3_lattices(X2,X3,X1) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
| u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1 ),
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_97,c_0_98]),c_0_99]),c_0_100])]),c_0_101]),c_0_102]),c_0_103]),c_0_104])]) ).
cnf(c_0_116,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_105]),c_0_106]),c_0_107]),c_0_55])]),c_0_56]) ).
fof(c_0_117,plain,
! [X173,X174] :
( k7_relat_1(X174,X173) = X174
| ~ r1_tarski(k1_relat_1(X174),X173)
| ~ v1_relat_1(X174) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t97_relat_1])])]) ).
fof(c_0_118,plain,
! [X152] : r1_tarski(X152,X152),
inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[reflexivity_r1_tarski])]) ).
fof(c_0_119,plain,
! [X102] :
( ( ~ l1_lattices(X102)
| ~ v6_lattices(X102)
| v3_struct_0(X102)
| v1_partfun1(u1_lattices(X102),k2_zfmisc_1(u1_struct_0(X102),u1_struct_0(X102)),u1_struct_0(X102)) )
& ( ~ l1_lattices(X102)
| ~ v6_lattices(X102)
| v3_struct_0(X102)
| v1_binop_1(u1_lattices(X102),u1_struct_0(X102)) )
& ( ~ l1_lattices(X102)
| ~ v6_lattices(X102)
| v3_struct_0(X102)
| v1_funct_2(u1_lattices(X102),k2_zfmisc_1(u1_struct_0(X102),u1_struct_0(X102)),u1_struct_0(X102)) )
& ( ~ l1_lattices(X102)
| ~ v6_lattices(X102)
| v3_struct_0(X102)
| v1_funct_1(u1_lattices(X102)) )
& ( ~ l1_lattices(X102)
| ~ v6_lattices(X102)
| v3_struct_0(X102)
| v1_relat_1(u1_lattices(X102)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])]) ).
cnf(c_0_120,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v6_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
fof(c_0_121,plain,
! [X134,X135,X136] :
( k4_relset_1(X134,X135,X136) = k1_relat_1(X136)
| ~ m1_relset_1(X136,X134,X135) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k4_relset_1])])]) ).
cnf(c_0_122,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_74,c_0_110]) ).
fof(c_0_123,plain,
! [X1] :
( ( l2_lattices(X1)
& v4_lattices(X1)
& ~ v3_struct_0(X1) )
=> ( v1_partfun1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& v1_binop_1(u2_lattices(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))
& v1_relat_1(u2_lattices(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc2_lattice2]) ).
cnf(c_0_124,negated_conjecture,
l2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_64,c_0_41]) ).
fof(c_0_125,plain,
! [X1] :
( ( l3_lattices(X1)
& v10_lattices(X1)
& ~ v3_struct_0(X1) )
=> k1_filter_2(X1) = k1_filter_0(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k1_filter_2]) ).
fof(c_0_126,plain,
! [X165,X166,X167] :
( ~ v1_xboole_0(X167)
| ~ m1_subset_1(X166,k1_zfmisc_1(X167))
| ~ r2_hidden(X165,X166) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])])]) ).
fof(c_0_127,plain,
! [X78] : m1_subset_1(esk11_1(X78),X78),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_128,plain,
! [X158,X159] :
( r2_hidden(X158,X159)
| v1_xboole_0(X159)
| ~ m1_subset_1(X158,X159) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])])]) ).
fof(c_0_129,plain,
! [X162,X163,X164] :
( m1_subset_1(X162,X164)
| ~ m1_subset_1(X163,k1_zfmisc_1(X164))
| ~ r2_hidden(X162,X163) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])])]) ).
cnf(c_0_130,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_111]) ).
cnf(c_0_131,negated_conjecture,
m1_filter_0(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k23_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_112,c_0_65]),c_0_113])]),c_0_114]) ).
cnf(c_0_132,plain,
( ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_133,negated_conjecture,
k1_realset1(u1_lattices(esk1_0),u1_struct_0(esk1_0)) = u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_134,plain,
( ~ r1_tarski(k1_relat_1(X1),X2)
| ~ v1_relat_1(X1)
| k7_relat_1(X1,X2) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_135,plain,
r1_tarski(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_136,plain,
( ~ l1_lattices(X1)
| ~ v6_lattices(X1)
| v3_struct_0(X1)
| v1_relat_1(u1_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_137,negated_conjecture,
v6_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_41]),c_0_42])]),c_0_43]) ).
fof(c_0_138,plain,
! [X25,X26,X27] :
( ( ~ m2_relset_1(X27,X25,X26)
| X26 != k1_xboole_0
| X25 = k1_xboole_0
| v1_funct_2(X27,X25,X26)
| X27 != k1_xboole_0 )
& ( ~ m2_relset_1(X27,X25,X26)
| X26 != k1_xboole_0
| X25 = k1_xboole_0
| X27 = k1_xboole_0
| ~ v1_funct_2(X27,X25,X26) )
& ( ~ m2_relset_1(X27,X25,X26)
| X25 != k1_xboole_0
| v1_funct_2(X27,X25,X26)
| X25 != k4_relset_1(X25,X26,X27) )
& ( ~ m2_relset_1(X27,X25,X26)
| X25 != k1_xboole_0
| X25 = k4_relset_1(X25,X26,X27)
| ~ v1_funct_2(X27,X25,X26) )
& ( ~ m2_relset_1(X27,X25,X26)
| X26 = k1_xboole_0
| v1_funct_2(X27,X25,X26)
| X25 != k4_relset_1(X25,X26,X27) )
& ( ~ m2_relset_1(X27,X25,X26)
| X26 = k1_xboole_0
| X25 = k4_relset_1(X25,X26,X27)
| ~ v1_funct_2(X27,X25,X26) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_funct_2])])])]) ).
cnf(c_0_139,plain,
( ~ m1_relset_1(X1,X2,X3)
| k4_relset_1(X2,X3,X1) = k1_relat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_140,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_84,c_0_122]) ).
fof(c_0_141,plain,
! [X29,X30] :
( k1_realset1(X29,X30) = k7_relat_1(X29,k2_zfmisc_1(X30,X30))
| ~ v1_relat_1(X29) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_realset1])])])]) ).
fof(c_0_142,plain,
! [X93] :
( ( ~ l2_lattices(X93)
| ~ v4_lattices(X93)
| v3_struct_0(X93)
| v1_partfun1(u2_lattices(X93),k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93)),u1_struct_0(X93)) )
& ( ~ l2_lattices(X93)
| ~ v4_lattices(X93)
| v3_struct_0(X93)
| v1_binop_1(u2_lattices(X93),u1_struct_0(X93)) )
& ( ~ l2_lattices(X93)
| ~ v4_lattices(X93)
| v3_struct_0(X93)
| v1_funct_2(u2_lattices(X93),k2_zfmisc_1(u1_struct_0(X93),u1_struct_0(X93)),u1_struct_0(X93)) )
& ( ~ l2_lattices(X93)
| ~ v4_lattices(X93)
| v3_struct_0(X93)
| v1_funct_1(u2_lattices(X93)) )
& ( ~ l2_lattices(X93)
| ~ v4_lattices(X93)
| v3_struct_0(X93)
| v1_relat_1(u2_lattices(X93)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_123])])])]) ).
cnf(c_0_143,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| v3_struct_0(X1)
| v4_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_144,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_72,c_0_124]) ).
fof(c_0_145,plain,
! [X133] :
( k1_filter_2(X133) = k1_filter_0(X133)
| ~ l3_lattices(X133)
| ~ v10_lattices(X133)
| v3_struct_0(X133) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])]) ).
fof(c_0_146,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]) ).
cnf(c_0_147,plain,
( ~ v1_xboole_0(X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_148,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_149,plain,
( ~ m1_subset_1(X1,X2)
| r2_hidden(X1,X2)
| v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_150,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ r2_hidden(X1,X2)
| m1_subset_1(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_129]) ).
cnf(c_0_151,negated_conjecture,
m1_subset_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k1_zfmisc_1(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_65]),c_0_113])]),c_0_114]) ).
cnf(c_0_152,plain,
( ~ l3_lattices(X2)
| ~ v10_lattices(X2)
| ~ m1_filter_0(X1,X2)
| ~ v1_xboole_0(X1)
| v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_153,negated_conjecture,
k17_filter_2(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u1_struct_0(k23_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_40,c_0_65]),c_0_113])]),c_0_114]) ).
cnf(c_0_154,negated_conjecture,
( g3_lattices(X2,X1,X3) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
| u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1 ),
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_132,c_0_98]),c_0_100]),c_0_99])]),c_0_102]),c_0_101]),c_0_104]),c_0_103])]) ).
cnf(c_0_155,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_116,c_0_133]) ).
cnf(c_0_156,plain,
( ~ v1_relat_1(X1)
| k7_relat_1(X1,k1_relat_1(X1)) = X1 ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_157,negated_conjecture,
v1_relat_1(u1_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_110]),c_0_43]),c_0_137])]) ).
cnf(c_0_158,plain,
( ~ m2_relset_1(X1,X2,X3)
| ~ v1_funct_2(X1,X2,X3)
| X3 = k1_xboole_0
| X2 = k4_relset_1(X2,X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_159,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_88,c_0_110]) ).
cnf(c_0_160,negated_conjecture,
k4_relset_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u1_lattices(esk1_0)) = k1_relat_1(u1_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_161,plain,
( ~ v1_relat_1(X1)
| k1_realset1(X1,X2) = k7_relat_1(X1,k2_zfmisc_1(X2,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_162,plain,
( ~ l2_lattices(X1)
| ~ v4_lattices(X1)
| v3_struct_0(X1)
| v1_relat_1(u2_lattices(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_142]) ).
cnf(c_0_163,negated_conjecture,
v4_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_164,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_84,c_0_144]) ).
cnf(c_0_165,plain,
( ~ l3_lattices(X1)
| ~ v10_lattices(X1)
| k1_filter_2(X1) = k1_filter_0(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
fof(c_0_166,plain,
! [X28] :
( k1_filter_0(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_146])])]) ).
cnf(c_0_167,plain,
( ~ r2_hidden(X2,esk11_1(k1_zfmisc_1(X1)))
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_168,plain,
( r2_hidden(esk11_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_148]) ).
cnf(c_0_169,negated_conjecture,
( ~ r2_hidden(X1,esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0))))
| m1_subset_1(X1,u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_170,negated_conjecture,
~ v1_xboole_0(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_131]),c_0_65]),c_0_113])]),c_0_114]) ).
cnf(c_0_171,negated_conjecture,
m2_filter_2(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_65]),c_0_113])]),c_0_114]),c_0_153]) ).
cnf(c_0_172,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_79]) ).
cnf(c_0_173,negated_conjecture,
k1_realset1(u2_lattices(esk1_0),u1_struct_0(esk1_0)) = u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_174,negated_conjecture,
k7_relat_1(u1_lattices(esk1_0),k1_relat_1(u1_lattices(esk1_0))) = u1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_175,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| k1_relat_1(u1_lattices(esk1_0)) = k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_122]),c_0_159])]),c_0_160]) ).
cnf(c_0_176,negated_conjecture,
k7_relat_1(u1_lattices(esk1_0),k2_zfmisc_1(X1,X1)) = k1_realset1(u1_lattices(esk1_0),X1),
inference(spm,[status(thm)],[c_0_161,c_0_157]) ).
cnf(c_0_177,negated_conjecture,
v1_relat_1(u2_lattices(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_124]),c_0_43]),c_0_163])]) ).
cnf(c_0_178,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_87,c_0_124]) ).
cnf(c_0_179,negated_conjecture,
k4_relset_1(k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0),u2_lattices(esk1_0)) = k1_relat_1(u2_lattices(esk1_0)),
inference(spm,[status(thm)],[c_0_139,c_0_164]) ).
cnf(c_0_180,negated_conjecture,
( k23_filter_2(esk1_0,k1_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| k23_filter_2(esk1_0,k17_filter_2(esk1_0)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_181,negated_conjecture,
k1_filter_2(esk1_0) = k1_filter_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_182,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_166]) ).
fof(c_0_183,plain,
! [X168] :
( X168 = k1_xboole_0
| ~ v1_xboole_0(X168) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])])]) ).
cnf(c_0_184,plain,
( ~ v1_xboole_0(X1)
| v1_xboole_0(esk11_1(k1_zfmisc_1(X1))) ),
inference(spm,[status(thm)],[c_0_167,c_0_168]) ).
cnf(c_0_185,plain,
v1_xboole_0(k1_xboole_0),
inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).
cnf(c_0_186,negated_conjecture,
m1_subset_1(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_168]),c_0_170]) ).
cnf(c_0_187,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_171]),c_0_65]),c_0_113])]),c_0_114]) ).
cnf(c_0_188,negated_conjecture,
( g3_lattices(X1,X2,X3) != k23_filter_2(esk1_0,u1_struct_0(esk1_0))
| u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = X1 ),
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_172,c_0_98]),c_0_100]),c_0_99])]),c_0_102]),c_0_101]),c_0_104]),c_0_103])]) ).
cnf(c_0_189,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_155,c_0_173]) ).
cnf(c_0_190,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| u1_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u1_lattices(esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_176]),c_0_133]) ).
cnf(c_0_191,negated_conjecture,
k7_relat_1(u2_lattices(esk1_0),k1_relat_1(u2_lattices(esk1_0))) = u2_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_156,c_0_177]) ).
cnf(c_0_192,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| k1_relat_1(u2_lattices(esk1_0)) = k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_144]),c_0_178])]),c_0_179]) ).
cnf(c_0_193,negated_conjecture,
k7_relat_1(u2_lattices(esk1_0),k2_zfmisc_1(X1,X1)) = k1_realset1(u2_lattices(esk1_0),X1),
inference(spm,[status(thm)],[c_0_161,c_0_177]) ).
cnf(c_0_194,negated_conjecture,
( g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,k1_filter_0(esk1_0))
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_47]),c_0_181]) ).
cnf(c_0_195,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_182,c_0_41]),c_0_42])]),c_0_43]) ).
cnf(c_0_196,plain,
( ~ v1_xboole_0(X1)
| X1 = k1_xboole_0 ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_197,plain,
v1_xboole_0(esk11_1(k1_zfmisc_1(k1_xboole_0))),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_198,negated_conjecture,
r2_hidden(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_186]),c_0_187]) ).
cnf(c_0_199,negated_conjecture,
u1_struct_0(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_188,c_0_189]) ).
cnf(c_0_200,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))),u1_lattices(esk1_0)) = k23_filter_2(esk1_0,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_189,c_0_190]) ).
cnf(c_0_201,negated_conjecture,
( u1_struct_0(esk1_0) = k1_xboole_0
| u2_lattices(k23_filter_2(esk1_0,u1_struct_0(esk1_0))) = u2_lattices(esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_192]),c_0_193]),c_0_173]) ).
cnf(c_0_202,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != k23_filter_2(esk1_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195])]) ).
cnf(c_0_203,plain,
esk11_1(k1_zfmisc_1(k1_xboole_0)) = k1_xboole_0,
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_204,negated_conjecture,
r2_hidden(esk11_1(esk8_1(k23_filter_2(esk1_0,u1_struct_0(esk1_0)))),u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_198,c_0_199]) ).
cnf(c_0_205,negated_conjecture,
u1_struct_0(esk1_0) = k1_xboole_0,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_201]),c_0_202]) ).
cnf(c_0_206,plain,
~ r2_hidden(X1,k1_xboole_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_203]),c_0_185])]) ).
cnf(c_0_207,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_205]),c_0_205]),c_0_206]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT332+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 23:39:59 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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
% 4.77/1.05 % Version: 3.5.1
% 4.77/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.77/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.77/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.77/1.05 % Starting new_bool_3 with 300s (1) cores
% 4.77/1.05 % Starting new_bool_1 with 300s (1) cores
% 4.77/1.05 % Starting sh5l with 300s (1) cores
% 4.77/1.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1516020 completed with status 0
% 4.77/1.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.77/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.77/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.77/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.77/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.77/1.05 % No SInE strategy applied
% 4.77/1.05 % Search class: FGHSM-FSLM31-SFFFFFNN
% 4.77/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.77/1.05 % Starting SubtermCWHack with 136s (1) cores
% 4.77/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.77/1.05 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 4.77/1.05 % Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 136s (1) cores
% 4.77/1.05 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 4.77/1.05 % G-E--_207_C18_F1_AE_CS_SP_PI_S0e with pid 1516029 completed with status 0
% 4.77/1.05 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_S0e
% 4.77/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.77/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.77/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.77/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.77/1.05 % No SInE strategy applied
% 4.77/1.05 % Search class: FGHSM-FSLM31-SFFFFFNN
% 4.77/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.77/1.05 % Starting SubtermCWHack with 136s (1) cores
% 4.77/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.77/1.05 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_S0e with 136s (1) cores
% 4.77/1.05 % Preprocessing time : 0.004 s
% 4.77/1.05
% 4.77/1.05 % Proof found!
% 4.77/1.05 % SZS status Theorem
% 4.77/1.05 % SZS output start CNFRefutation
% See solution above
% 4.77/1.05 % Parsed axioms : 99
% 4.77/1.05 % Removed by relevancy pruning/SinE : 0
% 4.77/1.05 % Initial clauses : 200
% 4.77/1.05 % Removed in clause preprocessing : 13
% 4.77/1.05 % Initial clauses in saturation : 187
% 4.77/1.05 % Processed clauses : 3579
% 4.77/1.05 % ...of these trivial : 370
% 4.77/1.05 % ...subsumed : 241
% 4.77/1.05 % ...remaining for further processing : 2968
% 4.77/1.05 % Other redundant clauses eliminated : 1
% 4.77/1.05 % Clauses deleted for lack of memory : 0
% 4.77/1.05 % Backward-subsumed : 3
% 4.77/1.05 % Backward-rewritten : 283
% 4.77/1.05 % Generated clauses : 8249
% 4.77/1.05 % ...of the previous two non-redundant : 7067
% 4.77/1.05 % ...aggressively subsumed : 0
% 4.77/1.05 % Contextual simplify-reflections : 1
% 4.77/1.05 % Paramodulations : 8236
% 4.77/1.05 % Factorizations : 0
% 4.77/1.05 % NegExts : 0
% 4.77/1.05 % Equation resolutions : 13
% 4.77/1.05 % Disequality decompositions : 0
% 4.77/1.05 % Total rewrite steps : 7517
% 4.77/1.05 % ...of those cached : 6226
% 4.77/1.05 % Propositional unsat checks : 0
% 4.77/1.05 % Propositional check models : 0
% 4.77/1.05 % Propositional check unsatisfiable : 0
% 4.77/1.05 % Propositional clauses : 0
% 4.77/1.05 % Propositional clauses after purity: 0
% 4.77/1.05 % Propositional unsat core size : 0
% 4.77/1.05 % Propositional preprocessing time : 0.000
% 4.77/1.05 % Propositional encoding time : 0.000
% 4.77/1.05 % Propositional solver time : 0.000
% 4.77/1.05 % Success case prop preproc time : 0.000
% 4.77/1.05 % Success case prop encoding time : 0.000
% 4.77/1.05 % Success case prop solver time : 0.000
% 4.77/1.05 % Current number of processed clauses : 2681
% 4.77/1.05 % Positive orientable unit clauses : 1955
% 4.77/1.05 % Positive unorientable unit clauses: 1
% 4.77/1.05 % Negative unit clauses : 135
% 4.77/1.05 % Non-unit-clauses : 590
% 4.77/1.05 % Current number of unprocessed clauses: 3566
% 4.77/1.05 % ...number of literals in the above : 7519
% 4.77/1.05 % Current number of archived formulas : 0
% 4.77/1.05 % Current number of archived clauses : 286
% 4.77/1.05 % Clause-clause subsumption calls (NU) : 44504
% 4.77/1.05 % Rec. Clause-clause subsumption calls : 24877
% 4.77/1.05 % Non-unit clause-clause subsumptions : 83
% 4.77/1.05 % Unit Clause-clause subsumption calls : 217940
% 4.77/1.05 % Rewrite failures with RHS unbound : 0
% 4.77/1.05 % BW rewrite match attempts : 5973
% 4.77/1.05 % BW rewrite match successes : 33
% 4.77/1.05 % Condensation attempts : 0
% 4.77/1.05 % Condensation successes : 0
% 4.77/1.05 % Termbank termtop insertions : 226663
% 4.77/1.05 % Search garbage collected termcells : 2206
% 4.77/1.05
% 4.77/1.05 % -------------------------------------------------
% 4.77/1.05 % User time : 0.433 s
% 4.77/1.05 % System time : 0.032 s
% 4.77/1.05 % Total time : 0.465 s
% 4.77/1.05 % Maximum resident set size: 4252 pages
% 4.77/1.05
% 4.77/1.05 % -------------------------------------------------
% 4.77/1.05 % User time : 2.612 s
% 4.77/1.05 % System time : 0.125 s
% 4.77/1.05 % Total time : 2.738 s
% 4.77/1.05 % Maximum resident set size: 5120 pages
% 4.77/1.05 % E exiting
%------------------------------------------------------------------------------