TSTP Solution File: LAT296+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 06:00:49 EDT 2023
% Result : Theorem 10.43s 10.54s
% Output : CNFRefutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 79
% Syntax : Number of formulae : 164 ( 23 unt; 69 typ; 0 def)
% Number of atoms : 530 ( 81 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 723 ( 288 ~; 289 |; 96 &)
% ( 3 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 68 ( 47 >; 21 *; 0 +; 0 <<)
% Number of predicates : 36 ( 34 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 22 con; 0-3 aty)
% Number of variables : 171 ( 24 sgn; 68 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
v17_lattices: $i > $o ).
tff(decl_25,type,
l3_lattices: $i > $o ).
tff(decl_26,type,
u1_struct_0: $i > $i ).
tff(decl_27,type,
u2_lattices: $i > $i ).
tff(decl_28,type,
u1_lattices: $i > $i ).
tff(decl_29,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_31,type,
k7_lattices: ( $i * $i ) > $i ).
tff(decl_32,type,
v3_lattices: $i > $o ).
tff(decl_33,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_34,type,
v1_xboole_0: $i > $o ).
tff(decl_35,type,
v1_funct_1: $i > $o ).
tff(decl_36,type,
v4_lattices: $i > $o ).
tff(decl_37,type,
v5_lattices: $i > $o ).
tff(decl_38,type,
v6_lattices: $i > $o ).
tff(decl_39,type,
v7_lattices: $i > $o ).
tff(decl_40,type,
v8_lattices: $i > $o ).
tff(decl_41,type,
v9_lattices: $i > $o ).
tff(decl_42,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_43,type,
k1_zfmisc_1: $i > $i ).
tff(decl_44,type,
v1_relat_1: $i > $o ).
tff(decl_45,type,
v2_funct_1: $i > $o ).
tff(decl_46,type,
v13_lattices: $i > $o ).
tff(decl_47,type,
v14_lattices: $i > $o ).
tff(decl_48,type,
v15_lattices: $i > $o ).
tff(decl_49,type,
v11_lattices: $i > $o ).
tff(decl_50,type,
v16_lattices: $i > $o ).
tff(decl_51,type,
v12_lattices: $i > $o ).
tff(decl_52,type,
r2_lattices: ( $i * $i * $i ) > $o ).
tff(decl_53,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_54,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_55,type,
l1_lattices: $i > $o ).
tff(decl_56,type,
l1_struct_0: $i > $o ).
tff(decl_57,type,
l2_lattices: $i > $o ).
tff(decl_58,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
k1_xboole_0: $i ).
tff(decl_60,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_61,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_63,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_64,type,
esk1_0: $i ).
tff(decl_65,type,
esk2_0: $i ).
tff(decl_66,type,
esk3_0: $i ).
tff(decl_67,type,
esk4_0: $i ).
tff(decl_68,type,
esk5_0: $i ).
tff(decl_69,type,
esk6_0: $i ).
tff(decl_70,type,
esk7_0: $i ).
tff(decl_71,type,
esk8_0: $i ).
tff(decl_72,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk10_1: $i > $i ).
tff(decl_74,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk12_0: $i ).
tff(decl_76,type,
esk13_0: $i ).
tff(decl_77,type,
esk14_0: $i ).
tff(decl_78,type,
esk15_0: $i ).
tff(decl_79,type,
esk16_0: $i ).
tff(decl_80,type,
esk17_1: $i > $i ).
tff(decl_81,type,
esk18_0: $i ).
tff(decl_82,type,
esk19_0: $i ).
tff(decl_83,type,
esk20_1: $i > $i ).
tff(decl_84,type,
esk21_0: $i ).
tff(decl_85,type,
esk22_0: $i ).
tff(decl_86,type,
esk23_0: $i ).
tff(decl_87,type,
esk24_0: $i ).
tff(decl_88,type,
esk25_1: $i > $i ).
tff(decl_89,type,
esk26_0: $i ).
tff(decl_90,type,
esk27_0: $i ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_u2_lattices,axiom,
! [X1] :
( l2_lattices(X1)
=> ( v1_funct_1(u2_lattices(X1))
& v1_funct_2(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u2_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(free_g3_lattices,axiom,
! [X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
& v1_funct_1(X3)
& v1_funct_2(X3,k2_zfmisc_1(X1,X1),X1)
& m1_relset_1(X3,k2_zfmisc_1(X1,X1),X1) )
=> ! [X4,X5,X6] :
( g3_lattices(X1,X2,X3) = g3_lattices(X4,X5,X6)
=> ( X1 = X4
& X2 = X5
& X3 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(dt_u1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> ( v1_funct_1(u1_lattices(X1))
& v1_funct_2(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
& m2_relset_1(u1_lattices(X1),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(t12_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(t11_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v15_lattices(X2)
& v16_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6
& r2_lattices(X1,X3,X4) )
=> r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_filter_2) ).
fof(cc5_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc5_lattices) ).
fof(dt_k7_lattices,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattices) ).
fof(d21_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k7_lattices(X1,X2)
<=> r2_lattices(X1,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d21_lattices) ).
fof(c_0_10,plain,
! [X90,X91,X92] :
( ( ~ m2_relset_1(X92,X90,X91)
| m1_relset_1(X92,X90,X91) )
& ( ~ m1_relset_1(X92,X90,X91)
| m2_relset_1(X92,X90,X91) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_11,plain,
! [X41] :
( ( v1_funct_1(u2_lattices(X41))
| ~ l2_lattices(X41) )
& ( v1_funct_2(u2_lattices(X41),k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X41)),u1_struct_0(X41))
| ~ l2_lattices(X41) )
& ( m2_relset_1(u2_lattices(X41),k2_zfmisc_1(u1_struct_0(X41),u1_struct_0(X41)),u1_struct_0(X41))
| ~ l2_lattices(X41) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u2_lattices])])]) ).
fof(c_0_12,plain,
! [X65,X66,X67,X68,X69,X70] :
( ( X65 = X68
| g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X67)
| ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) )
& ( X66 = X69
| g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X67)
| ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) )
& ( X67 = X70
| g3_lattices(X65,X66,X67) != g3_lattices(X68,X69,X70)
| ~ v1_funct_1(X66)
| ~ v1_funct_2(X66,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X66,k2_zfmisc_1(X65,X65),X65)
| ~ v1_funct_1(X67)
| ~ v1_funct_2(X67,k2_zfmisc_1(X65,X65),X65)
| ~ m1_relset_1(X67,k2_zfmisc_1(X65,X65),X65) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g3_lattices])])])]) ).
cnf(c_0_13,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,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_11]) ).
fof(c_0_15,plain,
! [X40] :
( ( v1_funct_1(u1_lattices(X40))
| ~ l1_lattices(X40) )
& ( v1_funct_2(u1_lattices(X40),k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(X40)),u1_struct_0(X40))
| ~ l1_lattices(X40) )
& ( m2_relset_1(u1_lattices(X40),k2_zfmisc_1(u1_struct_0(X40),u1_struct_0(X40)),u1_struct_0(X40))
| ~ l1_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_lattices])])]) ).
cnf(c_0_16,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_12]) ).
cnf(c_0_17,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_13,c_0_14]) ).
cnf(c_0_18,plain,
( v1_funct_1(u2_lattices(X1))
| ~ l2_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,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_11]) ).
cnf(c_0_20,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_15]) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v17_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X2))
=> ( X3 = X4
=> k7_lattices(X1,X3) = k7_lattices(X2,X4) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t12_filter_2])]) ).
cnf(c_0_22,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),u2_lattices(X3),X1) != g3_lattices(X4,X5,X2)
| ~ l2_lattices(X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_23,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_13,c_0_20]) ).
cnf(c_0_24,plain,
( v1_funct_1(u1_lattices(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,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_15]) ).
fof(c_0_26,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& ~ v3_struct_0(esk2_0)
& v10_lattices(esk2_0)
& v17_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))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk2_0))
& esk3_0 = esk4_0
& k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
cnf(c_0_27,plain,
( u1_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X4,X2)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_28,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_26]) ).
cnf(c_0_29,negated_conjecture,
( u1_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X3,X1)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_30,plain,
! [X36] :
( ( l1_lattices(X36)
| ~ l3_lattices(X36) )
& ( l2_lattices(X36)
| ~ l3_lattices(X36) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
cnf(c_0_31,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_29]) ).
cnf(c_0_32,plain,
( l2_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_33,negated_conjecture,
l3_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,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_12]) ).
cnf(c_0_35,negated_conjecture,
( u1_lattices(esk2_0) = u1_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]) ).
cnf(c_0_36,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),X3,u1_lattices(X1)) != g3_lattices(X2,X4,X5)
| ~ l1_lattices(X1)
| ~ m1_relset_1(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_2(X3,k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_struct_0(X1))
| ~ v1_funct_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_38,negated_conjecture,
u1_lattices(esk2_0) = u1_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_33])]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v10_lattices(X2)
& v15_lattices(X2)
& v16_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] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X3 = X5
& X4 = X6
& r2_lattices(X1,X3,X4) )
=> r2_lattices(X2,X5,X6) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t11_filter_2]) ).
fof(c_0_40,plain,
! [X1] :
( l3_lattices(X1)
=> ( ( ~ v3_struct_0(X1)
& v17_lattices(X1) )
=> ( ~ v3_struct_0(X1)
& v11_lattices(X1)
& v13_lattices(X1)
& v14_lattices(X1)
& v15_lattices(X1)
& v16_lattices(X1) ) ) ),
inference(fof_simplification,[status(thm)],[cc5_lattices]) ).
cnf(c_0_41,plain,
( u1_struct_0(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X2,X3,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_42,negated_conjecture,
g3_lattices(u1_struct_0(esk2_0),u2_lattices(esk2_0),u1_lattices(esk1_0)) = g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)),
inference(rw,[status(thm)],[c_0_28,c_0_38]) ).
cnf(c_0_43,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_12]) ).
fof(c_0_44,plain,
! [X94,X95,X96,X97,X98,X99] :
( v3_struct_0(X94)
| ~ v10_lattices(X94)
| ~ v15_lattices(X94)
| ~ v16_lattices(X94)
| ~ l3_lattices(X94)
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v15_lattices(X95)
| ~ v16_lattices(X95)
| ~ l3_lattices(X95)
| g3_lattices(u1_struct_0(X94),u2_lattices(X94),u1_lattices(X94)) != g3_lattices(u1_struct_0(X95),u2_lattices(X95),u1_lattices(X95))
| ~ m1_subset_1(X96,u1_struct_0(X94))
| ~ m1_subset_1(X97,u1_struct_0(X94))
| ~ m1_subset_1(X98,u1_struct_0(X95))
| ~ m1_subset_1(X99,u1_struct_0(X95))
| X96 != X98
| X97 != X99
| ~ r2_lattices(X94,X96,X97)
| r2_lattices(X95,X98,X99) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_45,plain,
! [X23] :
( ( ~ v3_struct_0(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) )
& ( v11_lattices(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) )
& ( v13_lattices(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) )
& ( v14_lattices(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) )
& ( v15_lattices(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) )
& ( v16_lattices(X23)
| v3_struct_0(X23)
| ~ v17_lattices(X23)
| ~ l3_lattices(X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_46,negated_conjecture,
( u1_struct_0(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X1,X2,X3)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_38]),c_0_42]) ).
cnf(c_0_47,plain,
( X1 = X2
| g3_lattices(u1_struct_0(X3),X1,u1_lattices(X3)) != g3_lattices(X4,X2,X5)
| ~ l1_lattices(X3)
| ~ m1_relset_1(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_2(X1,k2_zfmisc_1(u1_struct_0(X3),u1_struct_0(X3)),u1_struct_0(X3))
| ~ v1_funct_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_23]),c_0_24]),c_0_25]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r2_lattices(X2,X5,X6)
| ~ v10_lattices(X1)
| ~ v15_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ v10_lattices(X2)
| ~ v15_lattices(X2)
| ~ v16_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))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X3 != X5
| X4 != X6
| ~ r2_lattices(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( v15_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_51,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_52,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_53,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k7_lattices]) ).
cnf(c_0_54,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_46]) ).
fof(c_0_55,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v11_lattices(X1)
& v16_lattices(X1)
& l3_lattices(X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X3 = k7_lattices(X1,X2)
<=> r2_lattices(X1,X3,X2) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d21_lattices]) ).
cnf(c_0_56,plain,
( u2_lattices(X1) = X2
| g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) != g3_lattices(X3,X2,X4)
| ~ l2_lattices(X1)
| ~ l1_lattices(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_17]),c_0_18]),c_0_19]) ).
cnf(c_0_57,plain,
( r2_lattices(X1,X2,X3)
| v3_struct_0(X1)
| v3_struct_0(X4)
| g3_lattices(u1_struct_0(X4),u2_lattices(X4),u1_lattices(X4)) != g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1))
| ~ r2_lattices(X4,X2,X3)
| ~ v16_lattices(X1)
| ~ v16_lattices(X4)
| ~ v15_lattices(X1)
| ~ v15_lattices(X4)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ l3_lattices(X1)
| ~ l3_lattices(X4)
| ~ v10_lattices(X1)
| ~ v10_lattices(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_48])]) ).
cnf(c_0_58,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_59,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_60,negated_conjecture,
v15_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]),c_0_52]) ).
fof(c_0_61,plain,
! [X32,X33] :
( v3_struct_0(X32)
| ~ l3_lattices(X32)
| ~ m1_subset_1(X33,u1_struct_0(X32))
| m1_subset_1(k7_lattices(X32,X33),u1_struct_0(X32)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])]) ).
cnf(c_0_62,negated_conjecture,
( u1_struct_0(esk2_0) = u1_struct_0(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_32]),c_0_33])]) ).
fof(c_0_63,plain,
! [X26,X27,X28] :
( ( X28 != k7_lattices(X26,X27)
| r2_lattices(X26,X28,X27)
| ~ m1_subset_1(X28,u1_struct_0(X26))
| v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ v11_lattices(X26)
| ~ v16_lattices(X26)
| ~ l3_lattices(X26)
| ~ m1_subset_1(X27,u1_struct_0(X26))
| v3_struct_0(X26)
| ~ l3_lattices(X26) )
& ( ~ r2_lattices(X26,X28,X27)
| X28 = k7_lattices(X26,X27)
| ~ m1_subset_1(X28,u1_struct_0(X26))
| v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ v11_lattices(X26)
| ~ v16_lattices(X26)
| ~ l3_lattices(X26)
| ~ m1_subset_1(X27,u1_struct_0(X26))
| v3_struct_0(X26)
| ~ l3_lattices(X26) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])])]) ).
cnf(c_0_64,negated_conjecture,
( u2_lattices(esk2_0) = X1
| g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0)) != g3_lattices(X2,X1,X3)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_38]),c_0_42]) ).
cnf(c_0_65,negated_conjecture,
( r2_lattices(esk1_0,X1,esk3_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r2_lattices(X2,X1,esk3_0)
| ~ v16_lattices(esk1_0)
| ~ v16_lattices(X2)
| ~ v15_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_51]),c_0_59])]),c_0_52]),c_0_60])]) ).
cnf(c_0_66,plain,
( v16_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_lattices(X1,X2),u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
u1_struct_0(esk2_0) = u1_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_36]),c_0_33])]) ).
cnf(c_0_69,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_70,plain,
( r2_lattices(X2,X1,X3)
| v3_struct_0(X2)
| v3_struct_0(X2)
| X1 != k7_lattices(X2,X3)
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v11_lattices(X2)
| ~ v16_lattices(X2)
| ~ l3_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ l2_lattices(esk2_0)
| ~ l1_lattices(esk2_0) ),
inference(er,[status(thm)],[c_0_64]) ).
cnf(c_0_72,negated_conjecture,
( r2_lattices(esk1_0,X1,esk3_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r2_lattices(X2,X1,esk3_0)
| ~ v16_lattices(X2)
| ~ v15_lattices(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(esk3_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_51]),c_0_50])]),c_0_52]) ).
cnf(c_0_73,negated_conjecture,
( m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_33])]),c_0_69]) ).
cnf(c_0_74,plain,
( v3_struct_0(X2)
| r2_lattices(X2,X1,X3)
| X1 != k7_lattices(X2,X3)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2)
| ~ v11_lattices(X2)
| ~ v16_lattices(X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2)) ),
inference(cn,[status(thm)],[c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( u2_lattices(esk2_0) = u2_lattices(esk1_0)
| ~ l1_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_32]),c_0_33])]) ).
cnf(c_0_76,negated_conjecture,
v17_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_77,plain,
( v11_lattices(X1)
| v3_struct_0(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_78,plain,
( X2 = k7_lattices(X1,X3)
| v3_struct_0(X1)
| v3_struct_0(X1)
| ~ r2_lattices(X1,X2,X3)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v11_lattices(X1)
| ~ v16_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_79,negated_conjecture,
( r2_lattices(esk1_0,k7_lattices(esk2_0,X1),esk3_0)
| v3_struct_0(X2)
| g3_lattices(u1_struct_0(X2),u2_lattices(X2),u1_lattices(X2)) != g3_lattices(u1_struct_0(esk1_0),u2_lattices(esk1_0),u1_lattices(esk1_0))
| ~ r2_lattices(X2,k7_lattices(esk2_0,X1),esk3_0)
| ~ v16_lattices(X2)
| ~ v15_lattices(X2)
| ~ m1_subset_1(k7_lattices(esk2_0,X1),u1_struct_0(X2))
| ~ m1_subset_1(esk3_0,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ l3_lattices(X2)
| ~ v10_lattices(X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_80,plain,
( r2_lattices(X1,k7_lattices(X1,X2),X2)
| v3_struct_0(X1)
| ~ v16_lattices(X1)
| ~ v11_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_74]),c_0_67]) ).
cnf(c_0_81,negated_conjecture,
u2_lattices(esk2_0) = u2_lattices(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_36]),c_0_33])]) ).
cnf(c_0_82,negated_conjecture,
v15_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_76]),c_0_33])]),c_0_69]) ).
cnf(c_0_83,negated_conjecture,
v10_lattices(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,negated_conjecture,
v11_lattices(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_76]),c_0_33])]),c_0_69]) ).
cnf(c_0_85,negated_conjecture,
k7_lattices(esk1_0,esk3_0) != k7_lattices(esk2_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_86,negated_conjecture,
esk3_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_87,plain,
( X2 = k7_lattices(X1,X3)
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ v11_lattices(X1)
| ~ v16_lattices(X1)
| ~ r2_lattices(X1,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(cn,[status(thm)],[c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( r2_lattices(esk1_0,k7_lattices(esk2_0,esk3_0),esk3_0)
| ~ v16_lattices(esk2_0)
| ~ m1_subset_1(k7_lattices(esk2_0,esk3_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(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_79,c_0_80]),c_0_68]),c_0_81]),c_0_38]),c_0_82]),c_0_68]),c_0_68]),c_0_58]),c_0_58]),c_0_33]),c_0_83]),c_0_84])]),c_0_69]) ).
cnf(c_0_89,negated_conjecture,
v11_lattices(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_50]),c_0_51])]),c_0_52]) ).
cnf(c_0_90,negated_conjecture,
k7_lattices(esk2_0,esk3_0) != k7_lattices(esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( ~ v16_lattices(esk1_0)
| ~ v16_lattices(esk2_0)
| ~ m1_subset_1(k7_lattices(esk2_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89]),c_0_58]),c_0_51]),c_0_59])]),c_0_90]),c_0_52]) ).
cnf(c_0_92,negated_conjecture,
( ~ v16_lattices(esk1_0)
| ~ v16_lattices(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_73]),c_0_58])]) ).
cnf(c_0_93,negated_conjecture,
~ v16_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_92,c_0_66]),c_0_33]),c_0_76])]),c_0_69]) ).
cnf(c_0_94,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_66]),c_0_51]),c_0_50])]),c_0_52]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT296+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 06:09:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 10.43/10.54 % Version : CSE_E---1.5
% 10.43/10.54 % Problem : theBenchmark.p
% 10.43/10.54 % Proof found
% 10.43/10.54 % SZS status Theorem for theBenchmark.p
% 10.43/10.54 % SZS output start Proof
% See solution above
% 10.51/10.56 % Total time : 9.963000 s
% 10.51/10.56 % SZS output end Proof
% 10.51/10.56 % Total time : 9.968000 s
%------------------------------------------------------------------------------