TSTP Solution File: LAT299+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT299+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:00:53 EDT 2023
% Result : Theorem 184.61s 185.03s
% Output : CNFRefutation 184.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 101
% Syntax : Number of formulae : 305 ( 36 unt; 76 typ; 0 def)
% Number of atoms : 1142 ( 100 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 1562 ( 649 ~; 702 |; 138 &)
% ( 7 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 95 ( 57 >; 38 *; 0 +; 0 <<)
% Number of predicates : 32 ( 30 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 19 con; 0-6 aty)
% Number of variables : 374 ( 32 sgn; 148 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
u2_lattices: $i > $i ).
tff(decl_27,type,
u1_lattices: $i > $i ).
tff(decl_28,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_30,type,
v3_lattices: $i > $o ).
tff(decl_31,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_xboole_0: $i > $o ).
tff(decl_33,type,
v1_funct_1: $i > $o ).
tff(decl_34,type,
v4_lattices: $i > $o ).
tff(decl_35,type,
v5_lattices: $i > $o ).
tff(decl_36,type,
v6_lattices: $i > $o ).
tff(decl_37,type,
v7_lattices: $i > $o ).
tff(decl_38,type,
v8_lattices: $i > $o ).
tff(decl_39,type,
v9_lattices: $i > $o ).
tff(decl_40,type,
v1_realset1: $i > $o ).
tff(decl_41,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_42,type,
k1_zfmisc_1: $i > $i ).
tff(decl_43,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v1_relat_1: $i > $o ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_47,type,
l2_lattices: $i > $o ).
tff(decl_48,type,
k3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
k1_binop_1: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_51,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_52,type,
k1_lattices: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
k2_binop_1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_55,type,
k1_tarski: $i > $i ).
tff(decl_56,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
l1_lattices: $i > $o ).
tff(decl_59,type,
l1_struct_0: $i > $o ).
tff(decl_60,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_61,type,
k1_xboole_0: $i ).
tff(decl_62,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_63,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_65,type,
v1_finset_1: $i > $o ).
tff(decl_66,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_67,type,
esk1_0: $i ).
tff(decl_68,type,
esk2_0: $i ).
tff(decl_69,type,
esk3_0: $i ).
tff(decl_70,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk6_0: $i ).
tff(decl_73,type,
esk7_0: $i ).
tff(decl_74,type,
esk8_0: $i ).
tff(decl_75,type,
esk9_0: $i ).
tff(decl_76,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk11_1: $i > $i ).
tff(decl_78,type,
esk12_1: $i > $i ).
tff(decl_79,type,
esk13_1: $i > $i ).
tff(decl_80,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk15_0: $i ).
tff(decl_82,type,
esk16_1: $i > $i ).
tff(decl_83,type,
esk17_0: $i ).
tff(decl_84,type,
esk18_1: $i > $i ).
tff(decl_85,type,
esk19_0: $i ).
tff(decl_86,type,
esk20_0: $i ).
tff(decl_87,type,
esk21_0: $i ).
tff(decl_88,type,
esk22_1: $i > $i ).
tff(decl_89,type,
esk23_0: $i ).
tff(decl_90,type,
esk24_0: $i ).
tff(decl_91,type,
esk25_0: $i ).
tff(decl_92,type,
esk26_0: $i ).
tff(decl_93,type,
esk27_1: $i > $i ).
tff(decl_94,type,
esk28_0: $i ).
tff(decl_95,type,
esk29_0: $i ).
tff(decl_96,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk31_2: ( $i * $i ) > $i ).
fof(t17_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m2_filter_2(X3,X1)
=> m2_filter_2(X3,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_filter_2) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(dt_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ( v3_lattices(g3_lattices(X1,X2,X3))
& l3_lattices(g3_lattices(X1,X2,X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(dt_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(redefinition_k2_binop_1,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_binop_1) ).
fof(dt_l2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(d3_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_filter_2) ).
fof(d1_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_lattices) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( r2_hidden(X1,X2)
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(redefinition_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_lattices) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(rc1_subset_1,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(cc1_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattices) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(commutativity_k3_lattices,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_lattices) ).
fof(t15_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_filter_2) ).
fof(c_0_25,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& l3_lattices(X2) )
=> ( g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) = g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2))
=> ! [X3] :
( m2_filter_2(X3,X1)
=> m2_filter_2(X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t17_filter_2])]) ).
fof(c_0_26,plain,
! [X98,X99,X100,X101,X102,X103] :
( ( X98 = X101
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98) )
& ( X99 = X102
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98) )
& ( X100 = X103
| g3_lattices(X98,X99,X100) != g3_lattices(X101,X102,X103)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X99,k2_zfmisc_1(X98,X98),X98)
| ~ v1_funct_1(X100)
| ~ v1_funct_2(X100,k2_zfmisc_1(X98,X98),X98)
| ~ m1_relset_1(X100,k2_zfmisc_1(X98,X98),X98) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
fof(c_0_27,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& v10_lattices(esk2_0)
& l3_lattices(esk2_0)
& g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
& m2_filter_2(esk3_0,esk1_0)
& ~ m2_filter_2(esk3_0,esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X132,X133,X134] :
( ( ~ m2_relset_1(X134,X132,X133)
| m1_relset_1(X134,X132,X133) )
& ( ~ m1_relset_1(X134,X132,X133)
| m2_relset_1(X134,X132,X133) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_29,plain,
! [X65] :
( ( v1_funct_1(u1_lattices(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) )
& ( m2_relset_1(u1_lattices(X65),k2_zfmisc_1(u1_struct_0(X65),u1_struct_0(X65)),u1_struct_0(X65))
| ~ l1_lattices(X65) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_30,plain,
( X1 = X2
| g3_lattices(X3,X4,X1) != g3_lattices(X5,X6,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_34,negated_conjecture,
( u1_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X3,X1)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,plain,
( m1_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
( u1_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X3,X1)
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_39,negated_conjecture,
( u1_lattices(esk1_0) = u1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(er,[status(thm)],[c_0_38]) ).
fof(c_0_40,plain,
! [X57] :
( ( l1_lattices(X57)
| ~ l3_lattices(X57) )
& ( l2_lattices(X57)
| ~ l3_lattices(X57) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_41,plain,
! [X66] :
( ( v1_funct_1(u2_lattices(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) )
& ( m2_relset_1(u2_lattices(X66),k2_zfmisc_1(u1_struct_0(X66),u1_struct_0(X66)),u1_struct_0(X66))
| ~ l2_lattices(X66) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_42,plain,
! [X10] :
( ~ l3_lattices(X10)
| ~ v3_lattices(X10)
| X10 = g3_lattices(u1_struct_0(X10),u2_lattices(X10),u1_lattices(X10)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
fof(c_0_43,plain,
! [X40,X41,X42] :
( ( v3_lattices(g3_lattices(X40,X41,X42))
| ~ v1_funct_1(X41)
| ~ v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)
| ~ m1_relset_1(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X42)
| ~ v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)
| ~ m1_relset_1(X42,k2_zfmisc_1(X40,X40),X40) )
& ( l3_lattices(g3_lattices(X40,X41,X42))
| ~ v1_funct_1(X41)
| ~ v1_funct_2(X41,k2_zfmisc_1(X40,X40),X40)
| ~ m1_relset_1(X41,k2_zfmisc_1(X40,X40),X40)
| ~ v1_funct_1(X42)
| ~ v1_funct_2(X42,k2_zfmisc_1(X40,X40),X40)
| ~ m1_relset_1(X42,k2_zfmisc_1(X40,X40),X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).
cnf(c_0_44,negated_conjecture,
( v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_37,c_0_39]) ).
cnf(c_0_45,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_47,plain,
( m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( v1_funct_1(u1_lattices(esk2_0))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_36,c_0_39]) ).
cnf(c_0_49,plain,
( X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ l3_lattices(X1)
| ~ v3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( v3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,plain,
( l3_lattices(g3_lattices(X1,X2,X3))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_53,plain,
( m1_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(spm,[status(thm)],[c_0_32,c_0_47]) ).
cnf(c_0_54,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_55,plain,
( v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_56,negated_conjecture,
( v1_funct_1(u1_lattices(esk2_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_46])]) ).
cnf(c_0_57,plain,
( g3_lattices(u1_struct_0(g3_lattices(X1,X2,X3)),u2_lattices(g3_lattices(X1,X2,X3)),u1_lattices(g3_lattices(X1,X2,X3))) = g3_lattices(X1,X2,X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]) ).
cnf(c_0_58,negated_conjecture,
( v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_59,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,negated_conjecture,
( v1_funct_1(u1_lattices(esk2_0))
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_61,negated_conjecture,
( m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
cnf(c_0_62,negated_conjecture,
( g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_57,c_0_31]) ).
cnf(c_0_63,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_46])]) ).
cnf(c_0_64,negated_conjecture,
v1_funct_1(u1_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_59]),c_0_46])]) ).
cnf(c_0_65,negated_conjecture,
( m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_45]),c_0_46])]) ).
cnf(c_0_66,negated_conjecture,
( g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_39]),c_0_63]),c_0_64])]),c_0_65]) ).
cnf(c_0_67,negated_conjecture,
( g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_45]),c_0_46])]) ).
cnf(c_0_68,negated_conjecture,
( g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_69,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_59]),c_0_46])]) ).
cnf(c_0_70,plain,
( X1 = X2
| g3_lattices(X3,X1,X4) != g3_lattices(X5,X2,X6)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(X3,X3),X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X3,X3),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X3,X3),X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71,negated_conjecture,
( u1_lattices(esk1_0) = u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_69]) ).
cnf(c_0_72,negated_conjecture,
( u2_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_73,negated_conjecture,
( u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0)
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_39,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( u2_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_75,negated_conjecture,
( u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_45]),c_0_46])]) ).
cnf(c_0_76,negated_conjecture,
( u2_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_45]),c_0_46])]) ).
cnf(c_0_77,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_78,negated_conjecture,
( u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0)
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_79,plain,
( X1 = X2
| g3_lattices(X1,X3,X4) != g3_lattices(X2,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_80,negated_conjecture,
( u2_lattices(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X2,X1,X3)
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_81,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_82,negated_conjecture,
u1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_59]),c_0_46])]) ).
cnf(c_0_83,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u1_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u1_lattices(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(spm,[status(thm)],[c_0_79,c_0_31]) ).
cnf(c_0_84,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(esk2_0)
| ~ l2_lattices(esk1_0) ),
inference(er,[status(thm)],[c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_45]),c_0_46])]) ).
cnf(c_0_86,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_69,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| ~ l1_lattices(esk1_0)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_88,negated_conjecture,
( v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_84]) ).
cnf(c_0_89,negated_conjecture,
( v1_funct_1(u2_lattices(esk2_0))
| ~ l2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_53]),c_0_54]),c_0_55]) ).
cnf(c_0_91,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ l2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_80,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| ~ m1_relset_1(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_2(u2_lattices(esk1_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ v1_funct_1(u2_lattices(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_45]),c_0_46])]) ).
cnf(c_0_93,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_59]),c_0_46])]) ).
cnf(c_0_94,negated_conjecture,
v1_funct_1(u2_lattices(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_59]),c_0_46])]) ).
cnf(c_0_95,negated_conjecture,
( m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk1_0),u1_struct_0(esk1_0)),u1_struct_0(esk1_0))
| ~ l2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
( X1 = u2_lattices(esk1_0)
| g3_lattices(X2,X1,X3) != g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ m1_relset_1(X3,k2_zfmisc_1(X2,X2),X2)
| ~ m1_relset_1(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X3,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_2(X1,k2_zfmisc_1(X2,X2),X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X1) ),
inference(spm,[status(thm)],[c_0_70,c_0_31]) ).
cnf(c_0_97,negated_conjecture,
( m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ l1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_35,c_0_82]) ).
cnf(c_0_98,negated_conjecture,
l3_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_59]),c_0_46])]) ).
cnf(c_0_99,negated_conjecture,
( v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ l1_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_37,c_0_82]) ).
cnf(c_0_100,negated_conjecture,
( u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u2_lattices(esk2_0)
| ~ l2_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_84,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(esk1_0) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_84]),c_0_93]),c_0_94])]),c_0_95]) ).
cnf(c_0_102,negated_conjecture,
( u2_lattices(g3_lattices(X1,X2,X3)) = u2_lattices(esk1_0)
| g3_lattices(X1,X2,X3) != g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))
| ~ m1_relset_1(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(u1_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(u2_lattices(g3_lattices(X1,X2,X3)),k2_zfmisc_1(u1_struct_0(g3_lattices(X1,X2,X3)),u1_struct_0(g3_lattices(X1,X2,X3))),u1_struct_0(g3_lattices(X1,X2,X3)))
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_1(u1_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_1(u2_lattices(g3_lattices(X1,X2,X3)))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
inference(spm,[status(thm)],[c_0_96,c_0_57]) ).
cnf(c_0_103,negated_conjecture,
m1_relset_1(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_45]),c_0_98])]) ).
cnf(c_0_104,negated_conjecture,
v1_funct_2(u1_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_45]),c_0_98])]) ).
cnf(c_0_105,negated_conjecture,
u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u2_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_59]),c_0_46])]) ).
cnf(c_0_106,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_59]),c_0_46])]) ).
fof(c_0_107,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_108,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
cnf(c_0_109,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))
| ~ m1_relset_1(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ v1_funct_2(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ v1_funct_1(u2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_86]),c_0_82]),c_0_103]),c_0_103]),c_0_82]),c_0_104]),c_0_104]),c_0_82]),c_0_64]),c_0_64])]) ).
cnf(c_0_110,negated_conjecture,
( v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ l2_lattices(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) ),
inference(spm,[status(thm)],[c_0_55,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_106]) ).
fof(c_0_112,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_113,plain,
! [X60,X61] :
( v3_struct_0(X60)
| ~ v10_lattices(X60)
| ~ l3_lattices(X60)
| ~ m2_lattice4(X61,X60)
| m1_subset_1(X61,k1_zfmisc_1(u1_struct_0(X60))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_107])])]) ).
fof(c_0_114,plain,
! [X58,X59] :
( ( ~ v1_xboole_0(X59)
| ~ m2_filter_2(X59,X58)
| v3_struct_0(X58)
| ~ v10_lattices(X58)
| ~ l3_lattices(X58) )
& ( m2_lattice4(X59,X58)
| ~ m2_filter_2(X59,X58)
| v3_struct_0(X58)
| ~ v10_lattices(X58)
| ~ l3_lattices(X58) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])]) ).
fof(c_0_115,plain,
! [X1,X2,X3,X4,X5,X6] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
& m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
& m1_subset_1(X5,X1)
& m1_subset_1(X6,X2) )
=> k2_binop_1(X1,X2,X3,X4,X5,X6) = k1_binop_1(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_binop_1]) ).
cnf(c_0_116,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(esk2_0)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))))
| ~ v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_105]),c_0_105]),c_0_105]),c_0_105]),c_0_94])]) ).
cnf(c_0_117,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_59]),c_0_98])]) ).
cnf(c_0_118,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)) != g3_lattices(X1,X2,X3) ),
inference(rw,[status(thm)],[c_0_106,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
g3_lattices(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u2_lattices(esk2_0),u1_lattices(esk2_0)) = g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)),
inference(rw,[status(thm)],[c_0_86,c_0_105]) ).
fof(c_0_120,plain,
! [X83] :
( v3_struct_0(X83)
| ~ l1_struct_0(X83)
| ~ v1_xboole_0(u1_struct_0(X83)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])]) ).
fof(c_0_121,plain,
! [X56] :
( ~ l2_lattices(X56)
| l1_struct_0(X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_lattices])]) ).
fof(c_0_122,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) )
=> ( m2_filter_2(X2,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_filter_2]) ).
cnf(c_0_123,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_124,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
fof(c_0_125,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l2_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3) ) ) ),
inference(fof_simplification,[status(thm)],[d1_lattices]) ).
fof(c_0_126,plain,
! [X123,X124,X125,X126,X127,X128] :
( v1_xboole_0(X123)
| v1_xboole_0(X124)
| ~ v1_funct_1(X126)
| ~ v1_funct_2(X126,k2_zfmisc_1(X123,X124),X125)
| ~ m1_relset_1(X126,k2_zfmisc_1(X123,X124),X125)
| ~ m1_subset_1(X127,X123)
| ~ m1_subset_1(X128,X124)
| k2_binop_1(X123,X124,X125,X126,X127,X128) = k1_binop_1(X126,X127,X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_115])]) ).
cnf(c_0_127,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(esk2_0)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))),u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_128,negated_conjecture,
u1_struct_0(g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk2_0))) = u1_struct_0(esk2_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0))
| ~ l2_lattices(esk1_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_111]),c_0_111]),c_0_111]) ).
cnf(c_0_130,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,plain,
( l1_struct_0(X1)
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
fof(c_0_132,plain,
! [X32,X33,X34,X35] :
( ( ~ r2_hidden(X34,X33)
| ~ r2_hidden(X35,X33)
| r2_hidden(k3_lattices(X32,X34,X35),X33)
| ~ m1_subset_1(X35,u1_struct_0(X32))
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( r2_hidden(X34,X33)
| ~ r2_hidden(k3_lattices(X32,X34,X35),X33)
| ~ m1_subset_1(X35,u1_struct_0(X32))
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( r2_hidden(X35,X33)
| ~ r2_hidden(k3_lattices(X32,X34,X35),X33)
| ~ m1_subset_1(X35,u1_struct_0(X32))
| ~ m1_subset_1(X34,u1_struct_0(X32))
| ~ m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( m1_subset_1(esk4_2(X32,X33),u1_struct_0(X32))
| m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( m1_subset_1(esk5_2(X32,X33),u1_struct_0(X32))
| m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( ~ r2_hidden(esk4_2(X32,X33),X33)
| ~ r2_hidden(esk5_2(X32,X33),X33)
| ~ r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( r2_hidden(esk4_2(X32,X33),X33)
| r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) )
& ( r2_hidden(esk5_2(X32,X33),X33)
| r2_hidden(k3_lattices(X32,esk4_2(X32,X33),esk5_2(X32,X33)),X33)
| m2_filter_2(X33,X32)
| v1_xboole_0(X33)
| ~ m2_lattice4(X33,X32)
| v3_struct_0(X32)
| ~ v10_lattices(X32)
| ~ l3_lattices(X32) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])])]) ).
fof(c_0_133,plain,
! [X153,X154] :
( ~ r2_hidden(X153,X154)
| ~ v1_xboole_0(X154) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])]) ).
fof(c_0_134,plain,
! [X146,X147,X148] :
( ~ r2_hidden(X146,X147)
| ~ m1_subset_1(X147,k1_zfmisc_1(X148))
| m1_subset_1(X146,X148) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_135,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_136,negated_conjecture,
m2_filter_2(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_137,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_138,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_139,plain,
! [X29,X30,X31] :
( v3_struct_0(X29)
| ~ l2_lattices(X29)
| ~ m1_subset_1(X30,u1_struct_0(X29))
| ~ m1_subset_1(X31,u1_struct_0(X29))
| k1_lattices(X29,X30,X31) = k2_binop_1(u1_struct_0(X29),u1_struct_0(X29),u1_struct_0(X29),u2_lattices(X29),X30,X31) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])]) ).
cnf(c_0_140,plain,
( v1_xboole_0(X1)
| v1_xboole_0(X2)
| k2_binop_1(X1,X2,X4,X3,X5,X6) = k1_binop_1(X3,X5,X6)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m1_relset_1(X3,k2_zfmisc_1(X1,X2),X4)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_141,negated_conjecture,
( u2_lattices(esk1_0) = u2_lattices(esk2_0)
| ~ m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_127,c_0_128]),c_0_128]),c_0_128]) ).
cnf(c_0_142,negated_conjecture,
m1_relset_1(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_59]),c_0_46])]) ).
cnf(c_0_143,plain,
( v3_struct_0(X1)
| ~ l2_lattices(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_144,plain,
( r2_hidden(k3_lattices(X4,X1,X3),X2)
| v1_xboole_0(X2)
| v3_struct_0(X4)
| ~ r2_hidden(X1,X2)
| ~ r2_hidden(X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X1,u1_struct_0(X4))
| ~ m2_filter_2(X2,X4)
| ~ m2_lattice4(X2,X4)
| ~ v10_lattices(X4)
| ~ l3_lattices(X4) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_145,plain,
( ~ r2_hidden(X1,X2)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_146,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_147,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_46]),c_0_137])]),c_0_138]) ).
fof(c_0_148,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_lattices]) ).
cnf(c_0_149,plain,
( v3_struct_0(X1)
| k1_lattices(X1,X2,X3) = k2_binop_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),u2_lattices(X1),X2,X3)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_139]) ).
cnf(c_0_150,plain,
( k2_binop_1(X1,X2,X3,X4,X5,X6) = k2_binop_1(X7,X8,X9,X4,X5,X6)
| v1_xboole_0(X7)
| v1_xboole_0(X8)
| v1_xboole_0(X1)
| v1_xboole_0(X2)
| ~ m1_relset_1(X4,k2_zfmisc_1(X1,X2),X3)
| ~ m1_relset_1(X4,k2_zfmisc_1(X7,X8),X9)
| ~ v1_funct_2(X4,k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(X4,k2_zfmisc_1(X7,X8),X9)
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1)
| ~ m1_subset_1(X6,X8)
| ~ m1_subset_1(X5,X7)
| ~ v1_funct_1(X4) ),
inference(spm,[status(thm)],[c_0_140,c_0_140]) ).
cnf(c_0_151,negated_conjecture,
u2_lattices(esk1_0) = u2_lattices(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142])]) ).
cnf(c_0_152,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_59]) ).
cnf(c_0_153,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_154,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_155,plain,
! [X140,X141] :
( ~ r2_hidden(X140,X141)
| m1_subset_1(X140,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_156,plain,
( r2_hidden(k3_lattices(X1,X2,X3),X4)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,X4)
| ~ r2_hidden(X2,X4)
| ~ m2_filter_2(X4,X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_144,c_0_124]),c_0_145]) ).
cnf(c_0_157,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
fof(c_0_158,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc1_subset_1]) ).
fof(c_0_159,plain,
! [X129,X130,X131] :
( v3_struct_0(X129)
| ~ v4_lattices(X129)
| ~ l2_lattices(X129)
| ~ m1_subset_1(X130,u1_struct_0(X129))
| ~ m1_subset_1(X131,u1_struct_0(X129))
| k3_lattices(X129,X130,X131) = k1_lattices(X129,X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_148])]) ).
cnf(c_0_160,plain,
( k2_binop_1(X1,X2,X3,u2_lattices(X4),X5,X6) = k1_lattices(X4,X5,X6)
| v1_xboole_0(X2)
| v1_xboole_0(X1)
| v3_struct_0(X4)
| ~ m1_relset_1(u2_lattices(X4),k2_zfmisc_1(X1,X2),X3)
| ~ v1_funct_2(u2_lattices(X4),k2_zfmisc_1(X1,X2),X3)
| ~ l2_lattices(X4)
| ~ m1_subset_1(X6,u1_struct_0(X4))
| ~ m1_subset_1(X5,u1_struct_0(X4))
| ~ m1_subset_1(X6,X2)
| ~ m1_subset_1(X5,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_54]),c_0_55]),c_0_53]),c_0_143]) ).
cnf(c_0_161,negated_conjecture,
( k2_binop_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0),u1_struct_0(esk2_0),u2_lattices(esk2_0),X1,X2) = k1_lattices(esk1_0,X1,X2)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_111]),c_0_138]),c_0_151]) ).
cnf(c_0_162,negated_conjecture,
v1_funct_2(u2_lattices(esk2_0),k2_zfmisc_1(u1_struct_0(esk2_0),u1_struct_0(esk2_0)),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_111]),c_0_111]),c_0_111]) ).
cnf(c_0_163,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154]) ).
cnf(c_0_164,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_165,negated_conjecture,
( r2_hidden(k3_lattices(esk1_0,X1,X2),esk3_0)
| ~ r2_hidden(X2,esk3_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_136]),c_0_46]),c_0_137])]),c_0_138]),c_0_157]),c_0_157]) ).
fof(c_0_166,plain,
! [X142,X143] :
( ~ m1_subset_1(X142,X143)
| v1_xboole_0(X143)
| r2_hidden(X142,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_167,plain,
( v3_struct_0(X2)
| ~ v1_xboole_0(X1)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
fof(c_0_168,plain,
! [X108] :
( ( m1_subset_1(esk18_1(X108),k1_zfmisc_1(X108))
| v1_xboole_0(X108) )
& ( ~ v1_xboole_0(esk18_1(X108))
| v1_xboole_0(X108) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_158])])])]) ).
cnf(c_0_169,plain,
( v3_struct_0(X1)
| k3_lattices(X1,X2,X3) = k1_lattices(X1,X2,X3)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_170,negated_conjecture,
( k1_lattices(esk1_0,X1,X2) = k1_lattices(esk2_0,X1,X2)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_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_160,c_0_161]),c_0_142]),c_0_162])]),c_0_163]),c_0_154]) ).
fof(c_0_171,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& v5_lattices(X1)
& v6_lattices(X1)
& v7_lattices(X1)
& v8_lattices(X1)
& v9_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattices]) ).
cnf(c_0_172,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X3)
| ~ r2_hidden(k3_lattices(X3,X1,X4),X2)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m2_filter_2(X2,X3)
| ~ m2_lattice4(X2,X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_173,negated_conjecture,
( m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0)
| ~ r2_hidden(X2,esk3_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_174,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_175,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_136]),c_0_46]),c_0_137])]),c_0_138]) ).
cnf(c_0_176,plain,
( m1_subset_1(esk18_1(X1),k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_177,negated_conjecture,
( k1_lattices(esk2_0,X1,X2) = k3_lattices(esk1_0,X1,X2)
| ~ l2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_111]),c_0_111])]),c_0_138]) ).
fof(c_0_178,plain,
! [X14] :
( ( ~ v3_struct_0(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v4_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v5_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v6_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v7_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v8_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) )
& ( v9_lattices(X14)
| v3_struct_0(X14)
| ~ v10_lattices(X14)
| ~ l3_lattices(X14) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_171])])]) ).
cnf(c_0_179,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(k3_lattices(X3,X1,X4),X2)
| ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_172,c_0_124]),c_0_145]) ).
cnf(c_0_180,negated_conjecture,
( m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0)
| ~ m1_subset_1(X2,esk3_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_174]),c_0_175]) ).
cnf(c_0_181,plain,
( m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ r2_hidden(X1,esk18_1(X2)) ),
inference(spm,[status(thm)],[c_0_146,c_0_176]) ).
cnf(c_0_182,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(esk18_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
fof(c_0_183,plain,
! [X74] : m1_subset_1(esk11_1(X74),X74),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_184,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| v3_struct_0(X3)
| ~ r2_hidden(k3_lattices(X3,X4,X1),X2)
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m2_filter_2(X2,X3)
| ~ m2_lattice4(X2,X3)
| ~ v10_lattices(X3)
| ~ l3_lattices(X3) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_185,negated_conjecture,
( k3_lattices(esk1_0,X1,X2) = k3_lattices(esk2_0,X1,X2)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0)
| ~ v4_lattices(esk1_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_177]),c_0_154]) ).
cnf(c_0_186,plain,
( v4_lattices(X1)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_187,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| ~ m1_subset_1(k3_lattices(X3,X1,X4),X2)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_174]),c_0_167]) ).
cnf(c_0_188,negated_conjecture,
( m1_subset_1(k3_lattices(esk1_0,X1,X2),esk3_0)
| ~ m1_subset_1(X2,esk3_0)
| ~ m1_subset_1(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_174]),c_0_175]) ).
cnf(c_0_189,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_174]),c_0_175]) ).
cnf(c_0_190,plain,
( m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,esk18_1(X2)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_174]),c_0_182]) ).
cnf(c_0_191,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
fof(c_0_192,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& v4_lattices(X1)
& l2_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1))
& m1_subset_1(X3,u1_struct_0(X1)) )
=> k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2) ),
inference(fof_simplification,[status(thm)],[commutativity_k3_lattices]) ).
cnf(c_0_193,plain,
( r2_hidden(X1,X2)
| v3_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ r2_hidden(k3_lattices(X3,X4,X1),X2)
| ~ m2_filter_2(X2,X3)
| ~ l3_lattices(X3)
| ~ v10_lattices(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_184,c_0_124]),c_0_145]) ).
cnf(c_0_194,negated_conjecture,
( k3_lattices(esk1_0,X1,X2) = k3_lattices(esk2_0,X1,X2)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_185,c_0_186]),c_0_46]),c_0_137])]),c_0_138]) ).
cnf(c_0_195,negated_conjecture,
( r2_hidden(X1,esk3_0)
| ~ m1_subset_1(X2,esk3_0)
| ~ m1_subset_1(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_136]),c_0_46]),c_0_137])]),c_0_138]),c_0_189]),c_0_189]) ).
cnf(c_0_196,plain,
( m1_subset_1(esk11_1(esk18_1(X1)),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_191]) ).
fof(c_0_197,plain,
! [X23,X24,X25] :
( v3_struct_0(X23)
| ~ v4_lattices(X23)
| ~ l2_lattices(X23)
| ~ m1_subset_1(X24,u1_struct_0(X23))
| ~ m1_subset_1(X25,u1_struct_0(X23))
| k3_lattices(X23,X24,X25) = k3_lattices(X23,X25,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_192])]) ).
fof(c_0_198,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( ( r2_hidden(X3,X2)
& r2_hidden(X4,X2) )
<=> r2_hidden(k3_lattices(X1,X3,X4),X2) ) ) )
=> m2_filter_2(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[t15_filter_2]) ).
cnf(c_0_199,negated_conjecture,
( r2_hidden(X1,X2)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(X3,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0)
| ~ r2_hidden(k3_lattices(esk2_0,X3,X1),X2)
| ~ m2_filter_2(X2,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_193,c_0_194]),c_0_111]),c_0_111]),c_0_46]),c_0_137])]),c_0_138]) ).
cnf(c_0_200,negated_conjecture,
( r2_hidden(X1,esk3_0)
| ~ m1_subset_1(X1,esk3_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_195,c_0_196]),c_0_175]) ).
cnf(c_0_201,plain,
( v3_struct_0(X1)
| k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| ~ v4_lattices(X1)
| ~ l2_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
fof(c_0_202,plain,
! [X136,X137] :
( ( m1_subset_1(esk30_2(X136,X137),u1_struct_0(X136))
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( m1_subset_1(esk31_2(X136,X137),u1_struct_0(X136))
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( ~ r2_hidden(esk30_2(X136,X137),X137)
| ~ r2_hidden(esk31_2(X136,X137),X137)
| ~ r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( r2_hidden(esk30_2(X136,X137),X137)
| r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) )
& ( r2_hidden(esk31_2(X136,X137),X137)
| r2_hidden(k3_lattices(X136,esk30_2(X136,X137),esk31_2(X136,X137)),X137)
| m2_filter_2(X137,X136)
| v1_xboole_0(X137)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X136)))
| v3_struct_0(X136)
| ~ v10_lattices(X136)
| ~ l3_lattices(X136) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_198])])])])]) ).
cnf(c_0_203,negated_conjecture,
( r2_hidden(X1,esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(k3_lattices(esk2_0,X2,X1),esk3_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_136])]) ).
cnf(c_0_204,plain,
( k3_lattices(X1,X2,X3) = k3_lattices(X1,X3,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_186]),c_0_59]) ).
cnf(c_0_205,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_206,plain,
( r2_hidden(esk30_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_207,plain,
( m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ r2_hidden(esk30_2(X1,X2),X2)
| ~ r2_hidden(esk31_2(X1,X2),X2)
| ~ r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_208,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(rw,[status(thm)],[c_0_157,c_0_111]) ).
cnf(c_0_209,plain,
( r2_hidden(esk31_2(X1,X2),X2)
| r2_hidden(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_210,negated_conjecture,
( r2_hidden(X1,esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(k3_lattices(esk2_0,X1,X2),esk3_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_204]),c_0_153]),c_0_205])]),c_0_154]) ).
cnf(c_0_211,plain,
( m1_subset_1(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(esk30_2(X1,X2),X2)
| m2_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_206]) ).
cnf(c_0_212,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(spm,[status(thm)],[c_0_147,c_0_111]) ).
cnf(c_0_213,negated_conjecture,
~ m2_filter_2(esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_214,plain,
( m2_filter_2(X1,X2)
| v3_struct_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ~ r2_hidden(k3_lattices(X2,esk30_2(X2,X1),esk31_2(X2,X1)),X1)
| ~ r2_hidden(esk30_2(X2,X1),X1)
| ~ r2_hidden(esk31_2(X2,X1),X1)
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(csr,[status(thm)],[c_0_207,c_0_145]) ).
cnf(c_0_215,negated_conjecture,
( r2_hidden(k3_lattices(esk2_0,X1,X2),esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ v4_lattices(esk2_0)
| ~ r2_hidden(X2,esk3_0)
| ~ r2_hidden(X1,esk3_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_194]),c_0_208]),c_0_208]) ).
cnf(c_0_216,plain,
( m1_subset_1(k3_lattices(X1,esk30_2(X1,X2),esk31_2(X1,X2)),X2)
| v1_xboole_0(X2)
| r2_hidden(esk31_2(X1,X2),X2)
| m2_filter_2(X2,X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_209]) ).
cnf(c_0_217,negated_conjecture,
( r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_211]),c_0_212]),c_0_153]),c_0_205])]),c_0_175]),c_0_213]),c_0_154]) ).
cnf(c_0_218,plain,
( m1_subset_1(esk31_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_219,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ v4_lattices(esk2_0)
| ~ r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0)
| ~ r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_215]),c_0_212]),c_0_153]),c_0_205])]),c_0_213]),c_0_154]) ).
cnf(c_0_220,negated_conjecture,
( r2_hidden(esk31_2(esk2_0,esk3_0),esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_216]),c_0_212]),c_0_153]),c_0_205])]),c_0_175]),c_0_213]),c_0_154]) ).
cnf(c_0_221,negated_conjecture,
( r2_hidden(esk30_2(esk2_0,esk3_0),esk3_0)
| ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_218]),c_0_212]),c_0_153]),c_0_205])]),c_0_175]),c_0_213]),c_0_154]) ).
cnf(c_0_222,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ m1_subset_1(esk31_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_221]) ).
cnf(c_0_223,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ m1_subset_1(esk30_2(esk2_0,esk3_0),u1_struct_0(esk2_0))
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_218]),c_0_212]),c_0_153]),c_0_205])]),c_0_175]),c_0_213]),c_0_154]) ).
cnf(c_0_224,plain,
( m1_subset_1(esk30_2(X1,X2),u1_struct_0(X1))
| m2_filter_2(X2,X1)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_225,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ l2_lattices(esk1_0)
| ~ v4_lattices(esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_212]),c_0_153]),c_0_205])]),c_0_175]),c_0_213]),c_0_154]) ).
cnf(c_0_226,negated_conjecture,
( ~ l2_lattices(esk2_0)
| ~ v4_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_59]),c_0_46])]) ).
cnf(c_0_227,negated_conjecture,
~ l2_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_186]),c_0_153]),c_0_205])]),c_0_154]) ).
cnf(c_0_228,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_227,c_0_59]),c_0_153])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LAT299+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Aug 24 08:56:33 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.49 start to proof: theBenchmark
% 184.61/185.03 % Version : CSE_E---1.5
% 184.61/185.03 % Problem : theBenchmark.p
% 184.61/185.03 % Proof found
% 184.61/185.03 % SZS status Theorem for theBenchmark.p
% 184.61/185.03 % SZS output start Proof
% See solution above
% 184.61/185.06 % Total time : 184.137000 s
% 184.61/185.06 % SZS output end Proof
% 184.61/185.06 % Total time : 184.149000 s
%------------------------------------------------------------------------------