TSTP Solution File: LAT289+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT289+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 : n003.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 06:00:39 EDT 2023
% Result : Theorem 1.03s 1.14s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 89
% Syntax : Number of formulae : 137 ( 17 unt; 80 typ; 0 def)
% Number of atoms : 301 ( 8 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 384 ( 140 ~; 133 |; 84 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 90 ( 66 >; 24 *; 0 +; 0 <<)
% Number of predicates : 50 ( 48 usr; 3 prp; 0-3 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-4 aty)
% Number of variables : 78 ( 2 sgn; 54 !; 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,
v3_realset2: $i > $o ).
tff(decl_26,type,
l3_lattices: $i > $o ).
tff(decl_27,type,
u1_struct_0: $i > $i ).
tff(decl_28,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_29,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_30,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(decl_31,type,
k7_lopclset: $i > $i ).
tff(decl_32,type,
k1_zfmisc_1: $i > $i ).
tff(decl_33,type,
k9_lopclset: $i > $i ).
tff(decl_34,type,
k8_funct_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_36,type,
v1_membered: $i > $o ).
tff(decl_37,type,
v1_xcmplx_0: $i > $o ).
tff(decl_38,type,
v2_membered: $i > $o ).
tff(decl_39,type,
v1_xreal_0: $i > $o ).
tff(decl_40,type,
v3_membered: $i > $o ).
tff(decl_41,type,
v1_rat_1: $i > $o ).
tff(decl_42,type,
v4_membered: $i > $o ).
tff(decl_43,type,
v1_int_1: $i > $o ).
tff(decl_44,type,
v5_membered: $i > $o ).
tff(decl_45,type,
v4_ordinal2: $i > $o ).
tff(decl_46,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
v1_funct_1: $i > $o ).
tff(decl_48,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_50,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_51,type,
v1_relat_1: $i > $o ).
tff(decl_52,type,
v1_finset_1: $i > $o ).
tff(decl_53,type,
k1_xboole_0: $i ).
tff(decl_54,type,
v1_xboole_0: $i > $o ).
tff(decl_55,type,
v4_lattices: $i > $o ).
tff(decl_56,type,
v5_lattices: $i > $o ).
tff(decl_57,type,
v6_lattices: $i > $o ).
tff(decl_58,type,
v7_lattices: $i > $o ).
tff(decl_59,type,
v8_lattices: $i > $o ).
tff(decl_60,type,
v9_lattices: $i > $o ).
tff(decl_61,type,
v11_lattices: $i > $o ).
tff(decl_62,type,
v12_lattices: $i > $o ).
tff(decl_63,type,
v13_lattices: $i > $o ).
tff(decl_64,type,
v14_lattices: $i > $o ).
tff(decl_65,type,
v15_lattices: $i > $o ).
tff(decl_66,type,
v16_lattices: $i > $o ).
tff(decl_67,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_68,type,
l1_lattices: $i > $o ).
tff(decl_69,type,
l1_struct_0: $i > $o ).
tff(decl_70,type,
l2_lattices: $i > $o ).
tff(decl_71,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
v4_finsub_1: $i > $o ).
tff(decl_73,type,
v1_finsub_1: $i > $o ).
tff(decl_74,type,
v3_finsub_1: $i > $o ).
tff(decl_75,type,
a_1_1_lopclset: $i > $i ).
tff(decl_76,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_77,type,
k8_lopclset: $i > $i ).
tff(decl_78,type,
esk1_0: $i ).
tff(decl_79,type,
esk2_0: $i ).
tff(decl_80,type,
esk3_0: $i ).
tff(decl_81,type,
esk4_0: $i ).
tff(decl_82,type,
esk5_0: $i ).
tff(decl_83,type,
esk6_0: $i ).
tff(decl_84,type,
esk7_1: $i > $i ).
tff(decl_85,type,
esk8_1: $i > $i ).
tff(decl_86,type,
esk9_0: $i ).
tff(decl_87,type,
esk10_0: $i ).
tff(decl_88,type,
esk11_0: $i ).
tff(decl_89,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk16_0: $i ).
tff(decl_94,type,
esk17_1: $i > $i ).
tff(decl_95,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk20_0: $i ).
tff(decl_98,type,
esk21_1: $i > $i ).
tff(decl_99,type,
esk22_1: $i > $i ).
tff(decl_100,type,
epred1_0: $o ).
tff(decl_101,type,
epred2_0: $o ).
fof(dt_m1_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_filter_0) ).
fof(t27_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_lopclset) ).
fof(t21_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_lopclset) ).
fof(redefinition_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_lopclset) ).
fof(dt_k8_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_lopclset) ).
fof(t5_subset,axiom,
! [X1,X2,X3] :
~ ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3))
& v1_xboole_0(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(redefinition_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(dt_k9_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_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/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(c_0_9,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_filter_0(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_filter_0]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ~ ( v1_filter_0(X3,X1)
& ~ r2_hidden(X3,k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2))
& r2_hidden(X2,X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t27_lopclset])]) ).
fof(c_0_11,plain,
! [X127,X128] :
( ( ~ v1_xboole_0(X128)
| ~ m1_filter_0(X128,X127)
| v3_struct_0(X127)
| ~ v10_lattices(X127)
| ~ l3_lattices(X127) )
& ( m1_subset_1(X128,k1_zfmisc_1(u1_struct_0(X127)))
| ~ m1_filter_0(X128,X127)
| v3_struct_0(X127)
| ~ v10_lattices(X127)
| ~ l3_lattices(X127) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_filter_0(esk3_0,esk1_0)
& v1_filter_0(esk3_0,esk1_0)
& ~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0))
& r2_hidden(esk2_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_filter_0(X3,X1)
=> ( r2_hidden(X3,k1_funct_1(k8_lopclset(X1),X2))
<=> ( v1_filter_0(X3,X1)
& r2_hidden(X2,X3) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t21_lopclset]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k9_lopclset(X1) = k8_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[redefinition_k9_lopclset]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_relat_1(k8_lopclset(X1))
& v1_funct_1(k8_lopclset(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_lopclset]) ).
fof(c_0_16,plain,
! [X94,X95,X96] :
( ~ r2_hidden(X94,X95)
| ~ m1_subset_1(X95,k1_zfmisc_1(X96))
| ~ v1_xboole_0(X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_17,plain,
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X2)
| ~ m1_filter_0(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,negated_conjecture,
m1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X143,X144,X145] :
( ( v1_filter_0(X145,X143)
| ~ r2_hidden(X145,k1_funct_1(k8_lopclset(X143),X144))
| ~ m1_filter_0(X145,X143)
| ~ m1_subset_1(X144,u1_struct_0(X143))
| v3_struct_0(X143)
| ~ v10_lattices(X143)
| ~ v17_lattices(X143)
| v3_realset2(X143)
| ~ l3_lattices(X143) )
& ( r2_hidden(X144,X145)
| ~ r2_hidden(X145,k1_funct_1(k8_lopclset(X143),X144))
| ~ m1_filter_0(X145,X143)
| ~ m1_subset_1(X144,u1_struct_0(X143))
| v3_struct_0(X143)
| ~ v10_lattices(X143)
| ~ v17_lattices(X143)
| v3_realset2(X143)
| ~ l3_lattices(X143) )
& ( ~ v1_filter_0(X145,X143)
| ~ r2_hidden(X144,X145)
| r2_hidden(X145,k1_funct_1(k8_lopclset(X143),X144))
| ~ m1_filter_0(X145,X143)
| ~ m1_subset_1(X144,u1_struct_0(X143))
| v3_struct_0(X143)
| ~ v10_lattices(X143)
| ~ v17_lattices(X143)
| v3_realset2(X143)
| ~ l3_lattices(X143) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_23,plain,
! [X118] :
( v3_struct_0(X118)
| ~ v10_lattices(X118)
| ~ v17_lattices(X118)
| v3_realset2(X118)
| ~ l3_lattices(X118)
| k9_lopclset(X118) = k8_lopclset(X118) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_24,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> k8_funct_2(X1,X2,X3,X4) = k1_funct_1(X3,X4) ),
inference(fof_simplification,[status(thm)],[redefinition_k8_funct_2]) ).
fof(c_0_25,plain,
! [X124] :
( ( v1_relat_1(k8_lopclset(X124))
| v3_struct_0(X124)
| ~ v10_lattices(X124)
| ~ v17_lattices(X124)
| v3_realset2(X124)
| ~ l3_lattices(X124) )
& ( v1_funct_1(k8_lopclset(X124))
| v3_struct_0(X124)
| ~ v10_lattices(X124)
| ~ v17_lattices(X124)
| v3_realset2(X124)
| ~ l3_lattices(X124) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_26,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,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_17,c_0_18]),c_0_19]),c_0_20])]),c_0_21]) ).
cnf(c_0_28,plain,
( r2_hidden(X1,k1_funct_1(k8_lopclset(X2),X3))
| v3_struct_0(X2)
| v3_realset2(X2)
| ~ v1_filter_0(X1,X2)
| ~ r2_hidden(X3,X1)
| ~ m1_filter_0(X1,X2)
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ( v1_funct_1(k9_lopclset(X1))
& v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
& m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_lopclset]) ).
cnf(c_0_33,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k9_lopclset(X1) = k8_lopclset(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_35,plain,
! [X114,X115,X116,X117] :
( v1_xboole_0(X114)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,X114,X115)
| ~ m1_relset_1(X116,X114,X115)
| ~ m1_subset_1(X117,X114)
| k8_funct_2(X114,X115,X116,X117) = k1_funct_1(X116,X117) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).
cnf(c_0_36,plain,
( v1_funct_1(k8_lopclset(X1))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_37,negated_conjecture,
( ~ v1_xboole_0(u1_struct_0(esk1_0))
| ~ r2_hidden(X1,esk3_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_38,negated_conjecture,
r2_hidden(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
( r2_hidden(X1,k1_funct_1(k8_lopclset(esk1_0),esk2_0))
| ~ r2_hidden(esk2_0,X1)
| ~ v1_filter_0(X1,esk1_0)
| ~ m1_filter_0(X1,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(spm,[status(thm)],[c_0_28,c_0_29]),c_0_19]),c_0_30]),c_0_20])]),c_0_31]),c_0_21]) ).
cnf(c_0_40,negated_conjecture,
v1_filter_0(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_41,plain,
! [X125] :
( ( v1_funct_1(k9_lopclset(X125))
| v3_struct_0(X125)
| ~ v10_lattices(X125)
| ~ v17_lattices(X125)
| v3_realset2(X125)
| ~ l3_lattices(X125) )
& ( v1_funct_2(k9_lopclset(X125),u1_struct_0(X125),k1_zfmisc_1(k7_lopclset(X125)))
| v3_struct_0(X125)
| ~ v10_lattices(X125)
| ~ v17_lattices(X125)
| v3_realset2(X125)
| ~ l3_lattices(X125) )
& ( m2_relset_1(k9_lopclset(X125),u1_struct_0(X125),k1_zfmisc_1(k7_lopclset(X125)))
| v3_struct_0(X125)
| ~ v10_lattices(X125)
| ~ v17_lattices(X125)
| v3_realset2(X125)
| ~ l3_lattices(X125) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_42,plain,
! [X59,X60,X61] :
( ( ~ m2_relset_1(X61,X59,X60)
| m1_relset_1(X61,X59,X60) )
& ( ~ m1_relset_1(X61,X59,X60)
| m2_relset_1(X61,X59,X60) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
cnf(c_0_43,negated_conjecture,
~ r2_hidden(esk3_0,k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k8_lopclset(esk1_0),esk2_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_33,c_0_34]),c_0_19]),c_0_30]),c_0_20])]),c_0_31]),c_0_21]) ).
cnf(c_0_44,plain,
( v1_xboole_0(X1)
| k8_funct_2(X1,X3,X2,X4) = k1_funct_1(X2,X4)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
v1_funct_1(k8_lopclset(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_36]),c_0_19]),c_0_30]),c_0_20])]),c_0_21]) ).
cnf(c_0_46,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
r2_hidden(esk3_0,k1_funct_1(k8_lopclset(esk1_0),esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_38]),c_0_18])]) ).
cnf(c_0_48,plain,
( v1_funct_2(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( m2_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_struct_0(X1)
| v3_realset2(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( ~ v1_funct_2(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)))
| ~ m1_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0))) ),
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_43,c_0_44]),c_0_45]),c_0_29])]),c_0_46]),c_0_47])]) ).
cnf(c_0_52,plain,
( v1_funct_2(k8_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_53,plain,
( m1_relset_1(k9_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ m1_relset_1(k8_lopclset(esk1_0),u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(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(spm,[status(thm)],[c_0_51,c_0_52]),c_0_19]),c_0_30]),c_0_20])]),c_0_31]),c_0_21]) ).
cnf(c_0_55,plain,
( m1_relset_1(k8_lopclset(X1),u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)))
| v3_realset2(X1)
| v3_struct_0(X1)
| ~ l3_lattices(X1)
| ~ v17_lattices(X1)
| ~ v10_lattices(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_34]) ).
cnf(c_0_56,negated_conjecture,
$false,
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_54,c_0_55]),c_0_19]),c_0_30]),c_0_20])]),c_0_31]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT289+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.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 07:36:52 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 1.03/1.14 % Version : CSE_E---1.5
% 1.03/1.14 % Problem : theBenchmark.p
% 1.03/1.14 % Proof found
% 1.03/1.14 % SZS status Theorem for theBenchmark.p
% 1.03/1.14 % SZS output start Proof
% See solution above
% 1.10/1.15 % Total time : 0.554000 s
% 1.10/1.15 % SZS output end Proof
% 1.10/1.15 % Total time : 0.558000 s
%------------------------------------------------------------------------------