TSTP Solution File: LAT286+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT286+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 : n013.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 06:00:31 EDT 2023
% Result : Theorem 3.61s 3.75s
% Output : CNFRefutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 97
% Syntax : Number of formulae : 154 ( 15 unt; 84 typ; 0 def)
% Number of atoms : 310 ( 20 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 388 ( 148 ~; 144 |; 72 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 67 >; 25 *; 0 +; 0 <<)
% Number of predicates : 48 ( 46 usr; 5 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 13 con; 0-3 aty)
% Number of variables : 94 ( 3 sgn; 58 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v2_pre_topc: $i > $o ).
tff(decl_24,type,
l1_pre_topc: $i > $o ).
tff(decl_25,type,
k2_pre_topc: $i > $i ).
tff(decl_26,type,
k6_lopclset: $i > $i ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
l1_lattices: $i > $o ).
tff(decl_30,type,
u1_lattices: $i > $i ).
tff(decl_31,type,
v1_funct_1: $i > $o ).
tff(decl_32,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_33,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
l2_lattices: $i > $o ).
tff(decl_36,type,
u2_lattices: $i > $i ).
tff(decl_37,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
v1_relat_1: $i > $o ).
tff(decl_40,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_41,type,
l3_lattices: $i > $o ).
tff(decl_42,type,
v3_lattices: $i > $o ).
tff(decl_43,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
l1_struct_0: $i > $o ).
tff(decl_45,type,
k1_zfmisc_1: $i > $i ).
tff(decl_46,type,
v1_membered: $i > $o ).
tff(decl_47,type,
v1_xcmplx_0: $i > $o ).
tff(decl_48,type,
v2_membered: $i > $o ).
tff(decl_49,type,
v1_xreal_0: $i > $o ).
tff(decl_50,type,
v3_membered: $i > $o ).
tff(decl_51,type,
v1_rat_1: $i > $o ).
tff(decl_52,type,
v4_membered: $i > $o ).
tff(decl_53,type,
v1_int_1: $i > $o ).
tff(decl_54,type,
v5_membered: $i > $o ).
tff(decl_55,type,
v4_ordinal2: $i > $o ).
tff(decl_56,type,
v1_finset_1: $i > $o ).
tff(decl_57,type,
v4_lattices: $i > $o ).
tff(decl_58,type,
v5_lattices: $i > $o ).
tff(decl_59,type,
v6_lattices: $i > $o ).
tff(decl_60,type,
v7_lattices: $i > $o ).
tff(decl_61,type,
v8_lattices: $i > $o ).
tff(decl_62,type,
v9_lattices: $i > $o ).
tff(decl_63,type,
v10_lattices: $i > $o ).
tff(decl_64,type,
v1_xboole_0: $i > $o ).
tff(decl_65,type,
k1_xboole_0: $i ).
tff(decl_66,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_67,type,
k4_lopclset: $i > $i ).
tff(decl_68,type,
k1_lopclset: $i > $i ).
tff(decl_69,type,
k5_lopclset: $i > $i ).
tff(decl_70,type,
v4_finsub_1: $i > $o ).
tff(decl_71,type,
v1_finsub_1: $i > $o ).
tff(decl_72,type,
v3_finsub_1: $i > $o ).
tff(decl_73,type,
v4_pre_topc: ( $i * $i ) > $o ).
tff(decl_74,type,
a_1_0_lopclset: $i > $i ).
tff(decl_75,type,
v3_pre_topc: ( $i * $i ) > $o ).
tff(decl_76,type,
m2_subset_1: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
esk1_0: $i ).
tff(decl_78,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_79,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk4_0: $i ).
tff(decl_81,type,
esk5_0: $i ).
tff(decl_82,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk8_0: $i ).
tff(decl_85,type,
esk9_0: $i ).
tff(decl_86,type,
esk10_1: $i > $i ).
tff(decl_87,type,
esk11_0: $i ).
tff(decl_88,type,
esk12_1: $i > $i ).
tff(decl_89,type,
esk13_0: $i ).
tff(decl_90,type,
esk14_0: $i ).
tff(decl_91,type,
esk15_0: $i ).
tff(decl_92,type,
esk16_0: $i ).
tff(decl_93,type,
esk17_0: $i ).
tff(decl_94,type,
esk18_1: $i > $i ).
tff(decl_95,type,
esk19_1: $i > $i ).
tff(decl_96,type,
esk20_1: $i > $i ).
tff(decl_97,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk23_0: $i ).
tff(decl_100,type,
esk24_1: $i > $i ).
tff(decl_101,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_102,type,
epred1_0: $o ).
tff(decl_103,type,
epred2_0: $o ).
tff(decl_104,type,
epred3_0: $o ).
tff(decl_105,type,
epred4_0: $o ).
fof(t15_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_lopclset) ).
fof(d4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_lopclset) ).
fof(dt_k5_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k5_lopclset(X1))
& v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_lopclset) ).
fof(dt_k4_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k4_lopclset(X1))
& v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_lopclset) ).
fof(redefinition_m2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_subset_1) ).
fof(dt_k1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lopclset) ).
fof(fc1_finsub_1,axiom,
! [X1] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v4_finsub_1(k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_finsub_1) ).
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(abstractness_v3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(X1)
=> X1 = g3_lattices(u1_struct_0(X1),u2_lattices(X1),u1_lattices(X1)) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',dt_g3_lattices) ).
fof(t8_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_lopclset) ).
fof(fc1_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lopclset) ).
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(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k2_pre_topc(X1),u1_struct_0(k6_lopclset(X1))) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t15_lopclset])]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[d4_lopclset]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k5_lopclset(X1))
& v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_lopclset]) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ( v1_funct_1(k4_lopclset(X1))
& v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
& m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_lopclset]) ).
fof(c_0_17,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> ! [X3] :
( m2_subset_1(X3,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
inference(fof_simplification,[status(thm)],[redefinition_m2_subset_1]) ).
fof(c_0_18,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_pre_topc(X1) )
=> m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k1_lopclset]) ).
fof(c_0_19,plain,
! [X1] :
( ~ v1_xboole_0(k1_zfmisc_1(X1))
& v1_finsub_1(k1_zfmisc_1(X1))
& v3_finsub_1(k1_zfmisc_1(X1))
& v4_finsub_1(k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_finsub_1]) ).
fof(c_0_20,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& ~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_21,plain,
! [X161] :
( v3_struct_0(X161)
| ~ v2_pre_topc(X161)
| ~ l1_pre_topc(X161)
| k6_lopclset(X161) = g3_lattices(k1_lopclset(X161),k4_lopclset(X161),k5_lopclset(X161)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_22,plain,
! [X96,X97,X98,X99,X100,X101] :
( ( X96 = X99
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| ~ v1_funct_1(X97)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96) )
& ( X97 = X100
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| ~ v1_funct_1(X97)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96) )
& ( X98 = X101
| g3_lattices(X96,X97,X98) != g3_lattices(X99,X100,X101)
| ~ v1_funct_1(X97)
| ~ v1_funct_2(X97,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X97,k2_zfmisc_1(X96,X96),X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,k2_zfmisc_1(X96,X96),X96)
| ~ m1_relset_1(X98,k2_zfmisc_1(X96,X96),X96) ) ),
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_23,plain,
! [X21] :
( ~ l3_lattices(X21)
| ~ v3_lattices(X21)
| X21 = g3_lattices(u1_struct_0(X21),u2_lattices(X21),u1_lattices(X21)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v3_lattices])]) ).
fof(c_0_24,plain,
! [X105,X106,X107] :
( ( v3_lattices(g3_lattices(X105,X106,X107))
| ~ v1_funct_1(X106)
| ~ v1_funct_2(X106,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X106,k2_zfmisc_1(X105,X105),X105)
| ~ v1_funct_1(X107)
| ~ v1_funct_2(X107,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X107,k2_zfmisc_1(X105,X105),X105) )
& ( l3_lattices(g3_lattices(X105,X106,X107))
| ~ v1_funct_1(X106)
| ~ v1_funct_2(X106,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X106,k2_zfmisc_1(X105,X105),X105)
| ~ v1_funct_1(X107)
| ~ v1_funct_2(X107,k2_zfmisc_1(X105,X105),X105)
| ~ m1_relset_1(X107,k2_zfmisc_1(X105,X105),X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_g3_lattices])])]) ).
fof(c_0_25,plain,
! [X109] :
( ( v1_funct_1(k5_lopclset(X109))
| v3_struct_0(X109)
| ~ v2_pre_topc(X109)
| ~ l1_pre_topc(X109) )
& ( v1_funct_2(k5_lopclset(X109),k2_zfmisc_1(k1_lopclset(X109),k1_lopclset(X109)),k1_lopclset(X109))
| v3_struct_0(X109)
| ~ v2_pre_topc(X109)
| ~ l1_pre_topc(X109) )
& ( m2_relset_1(k5_lopclset(X109),k2_zfmisc_1(k1_lopclset(X109),k1_lopclset(X109)),k1_lopclset(X109))
| v3_struct_0(X109)
| ~ v2_pre_topc(X109)
| ~ l1_pre_topc(X109) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_26,plain,
! [X108] :
( ( v1_funct_1(k4_lopclset(X108))
| v3_struct_0(X108)
| ~ v2_pre_topc(X108)
| ~ l1_pre_topc(X108) )
& ( v1_funct_2(k4_lopclset(X108),k2_zfmisc_1(k1_lopclset(X108),k1_lopclset(X108)),k1_lopclset(X108))
| v3_struct_0(X108)
| ~ v2_pre_topc(X108)
| ~ l1_pre_topc(X108) )
& ( m2_relset_1(k4_lopclset(X108),k2_zfmisc_1(k1_lopclset(X108),k1_lopclset(X108)),k1_lopclset(X108))
| v3_struct_0(X108)
| ~ v2_pre_topc(X108)
| ~ l1_pre_topc(X108) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_27,plain,
! [X145,X146,X147] :
( ( ~ m2_subset_1(X147,X145,X146)
| m1_subset_1(X147,X146)
| v1_xboole_0(X145)
| v1_xboole_0(X146)
| ~ m1_subset_1(X146,k1_zfmisc_1(X145)) )
& ( ~ m1_subset_1(X147,X146)
| m2_subset_1(X147,X145,X146)
| v1_xboole_0(X145)
| v1_xboole_0(X146)
| ~ m1_subset_1(X146,k1_zfmisc_1(X145)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
fof(c_0_28,plain,
! [X148] :
( v3_struct_0(X148)
| ~ l1_pre_topc(X148)
| m1_subset_1(k1_lopclset(X148),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X148)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_29,plain,
! [X155] :
( ~ v1_xboole_0(k1_zfmisc_1(X155))
& v1_finsub_1(k1_zfmisc_1(X155))
& v3_finsub_1(k1_zfmisc_1(X155))
& v4_finsub_1(k1_zfmisc_1(X155)) ),
inference(variable_rename,[status(thm)],[c_0_19]) ).
fof(c_0_30,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[t8_lopclset]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ~ v1_xboole_0(k1_lopclset(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_lopclset]) ).
cnf(c_0_32,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(k6_lopclset(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| k6_lopclset(X1) = g3_lattices(k1_lopclset(X1),k4_lopclset(X1),k5_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,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_22]) ).
cnf(c_0_38,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_23]) ).
cnf(c_0_39,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_24]) ).
cnf(c_0_40,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_24]) ).
cnf(c_0_41,plain,
( v1_funct_2(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_42,plain,
( v1_funct_2(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,plain,
( v1_funct_1(k5_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( v1_funct_1(k4_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_45,plain,
( m1_subset_1(X1,X3)
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| ~ m2_subset_1(X1,X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_46,plain,
( v3_struct_0(X1)
| m1_subset_1(k1_lopclset(X1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
~ v1_xboole_0(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_48,plain,
! [X162] :
( v3_struct_0(X162)
| ~ v2_pre_topc(X162)
| ~ l1_pre_topc(X162)
| m2_subset_1(k2_pre_topc(X162),k1_zfmisc_1(u1_struct_0(X162)),k1_lopclset(X162)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
fof(c_0_49,plain,
! [X156] :
( v3_struct_0(X156)
| ~ v2_pre_topc(X156)
| ~ l1_pre_topc(X156)
| ~ v1_xboole_0(k1_lopclset(X156)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
fof(c_0_50,plain,
! [X30,X31,X32] :
( ( ~ m2_relset_1(X32,X30,X31)
| m1_relset_1(X32,X30,X31) )
& ( ~ m1_relset_1(X32,X30,X31)
| m2_relset_1(X32,X30,X31) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_51,plain,
( m2_relset_1(k5_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_52,plain,
( m2_relset_1(k4_lopclset(X1),k2_zfmisc_1(k1_lopclset(X1),k1_lopclset(X1)),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_53,negated_conjecture,
~ m1_subset_1(k2_pre_topc(esk1_0),u1_struct_0(g3_lattices(k1_lopclset(esk1_0),k4_lopclset(esk1_0),k5_lopclset(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]),c_0_36]) ).
cnf(c_0_54,plain,
( u1_struct_0(g3_lattices(X1,X2,X3)) = X1
| ~ 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(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]),c_0_39]),c_0_40]) ).
cnf(c_0_55,negated_conjecture,
v1_funct_2(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_56,negated_conjecture,
v1_funct_2(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_57,negated_conjecture,
v1_funct_1(k5_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_58,negated_conjecture,
v1_funct_1(k4_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_59,plain,
( v1_xboole_0(k1_lopclset(X1))
| m1_subset_1(X2,k1_lopclset(X1))
| v3_struct_0(X1)
| ~ m2_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ l1_pre_topc(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_60,plain,
( v3_struct_0(X1)
| m2_subset_1(k2_pre_topc(X1),k1_zfmisc_1(u1_struct_0(X1)),k1_lopclset(X1))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ v1_xboole_0(k1_lopclset(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_62,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_63,negated_conjecture,
m2_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_64,negated_conjecture,
m2_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_35]),c_0_34])]),c_0_36]) ).
cnf(c_0_65,negated_conjecture,
( ~ m1_subset_1(k2_pre_topc(esk1_0),k1_lopclset(esk1_0))
| ~ m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0))
| ~ m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)) ),
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_53,c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58])]) ).
cnf(c_0_66,plain,
( m1_subset_1(k2_pre_topc(X1),k1_lopclset(X1))
| v3_struct_0(X1)
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]) ).
cnf(c_0_67,negated_conjecture,
m1_relset_1(k5_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
m1_relset_1(k4_lopclset(esk1_0),k2_zfmisc_1(k1_lopclset(esk1_0),k1_lopclset(esk1_0)),k1_lopclset(esk1_0)),
inference(spm,[status(thm)],[c_0_62,c_0_64]) ).
cnf(c_0_69,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_65,c_0_66,c_0_36,c_0_67,c_0_68,c_0_34,c_0_35]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT286+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.30 % Computer : n013.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Thu Aug 24 09:34:17 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.16/0.55 start to proof: theBenchmark
% 3.61/3.75 % Version : CSE_E---1.5
% 3.61/3.75 % Problem : theBenchmark.p
% 3.61/3.75 % Proof found
% 3.61/3.75 % SZS status Theorem for theBenchmark.p
% 3.61/3.75 % SZS output start Proof
% See solution above
% 3.61/3.76 % Total time : 3.188000 s
% 3.61/3.76 % SZS output end Proof
% 3.61/3.76 % Total time : 3.192000 s
%------------------------------------------------------------------------------