TSTP Solution File: LAT324+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT324+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 : n022.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 06:01:22 EDT 2023
% Result : Theorem 56.72s 56.78s
% Output : CNFRefutation 56.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 100
% Syntax : Number of formulae : 200 ( 13 unt; 84 typ; 0 def)
% Number of atoms : 725 ( 49 equ)
% Maximal formula atoms : 80 ( 6 avg)
% Number of connectives : 933 ( 324 ~; 373 |; 181 &)
% ( 2 <=>; 53 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 94 ( 63 >; 31 *; 0 +; 0 <<)
% Number of predicates : 41 ( 39 usr; 1 prp; 0-3 aty)
% Number of functors : 45 ( 45 usr; 21 con; 0-3 aty)
% Number of variables : 135 ( 0 sgn; 91 !; 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,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_28,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_29,type,
r2_filter_2: ( $i * $i ) > $o ).
tff(decl_30,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_31,type,
v3_lattices: $i > $o ).
tff(decl_32,type,
u2_lattices: $i > $i ).
tff(decl_33,type,
u1_lattices: $i > $i ).
tff(decl_34,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
v1_xboole_0: $i > $o ).
tff(decl_36,type,
v1_funct_1: $i > $o ).
tff(decl_37,type,
v4_lattices: $i > $o ).
tff(decl_38,type,
v5_lattices: $i > $o ).
tff(decl_39,type,
v6_lattices: $i > $o ).
tff(decl_40,type,
v7_lattices: $i > $o ).
tff(decl_41,type,
v8_lattices: $i > $o ).
tff(decl_42,type,
v9_lattices: $i > $o ).
tff(decl_43,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_44,type,
k1_zfmisc_1: $i > $i ).
tff(decl_45,type,
v1_relat_1: $i > $o ).
tff(decl_46,type,
v2_funct_1: $i > $o ).
tff(decl_47,type,
v13_lattices: $i > $o ).
tff(decl_48,type,
v14_lattices: $i > $o ).
tff(decl_49,type,
v15_lattices: $i > $o ).
tff(decl_50,type,
v11_lattices: $i > $o ).
tff(decl_51,type,
v16_lattices: $i > $o ).
tff(decl_52,type,
v12_lattices: $i > $o ).
tff(decl_53,type,
k1_lattice2: $i > $i ).
tff(decl_54,type,
k5_filter_2: ( $i * $i ) > $i ).
tff(decl_55,type,
k7_filter_2: ( $i * $i ) > $i ).
tff(decl_56,type,
k8_filter_2: ( $i * $i ) > $i ).
tff(decl_57,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_59,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_60,type,
k14_filter_2: ( $i * $i ) > $i ).
tff(decl_61,type,
k15_filter_2: ( $i * $i ) > $i ).
tff(decl_62,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(decl_63,type,
l1_lattices: $i > $o ).
tff(decl_64,type,
l1_struct_0: $i > $o ).
tff(decl_65,type,
l2_lattices: $i > $o ).
tff(decl_66,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_67,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
k1_xboole_0: $i ).
tff(decl_69,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_70,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_72,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_73,type,
v1_filter_0: ( $i * $i ) > $o ).
tff(decl_74,type,
esk1_0: $i ).
tff(decl_75,type,
esk2_0: $i ).
tff(decl_76,type,
esk3_0: $i ).
tff(decl_77,type,
esk4_0: $i ).
tff(decl_78,type,
esk5_0: $i ).
tff(decl_79,type,
esk6_0: $i ).
tff(decl_80,type,
esk7_0: $i ).
tff(decl_81,type,
esk8_1: $i > $i ).
tff(decl_82,type,
esk9_1: $i > $i ).
tff(decl_83,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk11_1: $i > $i ).
tff(decl_85,type,
esk12_1: $i > $i ).
tff(decl_86,type,
esk13_1: $i > $i ).
tff(decl_87,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk15_0: $i ).
tff(decl_89,type,
esk16_0: $i ).
tff(decl_90,type,
esk17_0: $i ).
tff(decl_91,type,
esk18_0: $i ).
tff(decl_92,type,
esk19_0: $i ).
tff(decl_93,type,
esk20_1: $i > $i ).
tff(decl_94,type,
esk21_1: $i > $i ).
tff(decl_95,type,
esk22_0: $i ).
tff(decl_96,type,
esk23_0: $i ).
tff(decl_97,type,
esk24_1: $i > $i ).
tff(decl_98,type,
esk25_0: $i ).
tff(decl_99,type,
esk26_0: $i ).
tff(decl_100,type,
esk27_0: $i ).
tff(decl_101,type,
esk28_0: $i ).
tff(decl_102,type,
esk29_1: $i > $i ).
tff(decl_103,type,
esk30_0: $i ).
tff(decl_104,type,
esk31_0: $i ).
tff(decl_105,type,
esk32_3: ( $i * $i * $i ) > $i ).
fof(d4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_filter_2) ).
fof(t60_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_2) ).
fof(dt_k5_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_filter_2) ).
fof(t60_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t60_filter_0) ).
fof(fc4_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_filter_2) ).
fof(fc6_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_lattice2) ).
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(dt_k1_lattice2,axiom,
! [X1] :
( l3_lattices(X1)
=> ( v3_lattices(k1_lattice2(X1))
& l3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(dt_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_filter_2) ).
fof(redefinition_k14_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k14_filter_2) ).
fof(dt_k8_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_filter_2) ).
fof(d7_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_filter_2) ).
fof(d6_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_filter_2) ).
fof(redefinition_k15_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k15_filter_2) ).
fof(t33_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t33_filter_2) ).
fof(fc1_lattice2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k5_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d4_filter_2]) ).
fof(c_0_17,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m2_filter_2(X4,X1)
=> ~ ( r2_filter_2(X1,X4)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t60_filter_2])]) ).
fof(c_0_18,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k5_filter_2]) ).
fof(c_0_19,plain,
! [X27,X28] :
( v3_struct_0(X27)
| ~ v10_lattices(X27)
| ~ l3_lattices(X27)
| ~ m1_subset_1(X28,u1_struct_0(X27))
| k5_filter_2(X27,X28) = X28 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_20,negated_conjecture,
! [X10] :
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& esk2_0 != esk3_0
& ( ~ r2_hidden(esk2_0,X10)
| r2_hidden(esk3_0,X10)
| ~ r2_filter_2(esk1_0,X10)
| ~ m2_filter_2(X10,esk1_0) )
& ( r2_hidden(esk2_0,X10)
| ~ r2_hidden(esk3_0,X10)
| ~ r2_filter_2(esk1_0,X10)
| ~ m2_filter_2(X10,esk1_0) ) ),
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_17])])])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ~ ( X2 != X3
& ! [X4] :
( m1_filter_0(X4,X1)
=> ~ ( v1_filter_0(X4,X1)
& ( ( r2_hidden(X2,X4)
& ~ r2_hidden(X3,X4) )
| ( ~ r2_hidden(X2,X4)
& r2_hidden(X3,X4) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t60_filter_0]) ).
fof(c_0_22,plain,
! [X41,X42] :
( v3_struct_0(X41)
| ~ v10_lattices(X41)
| ~ l3_lattices(X41)
| ~ m1_subset_1(X42,u1_struct_0(X41))
| m1_subset_1(k5_filter_2(X41,X42),u1_struct_0(k1_lattice2(X41))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_23,plain,
( v3_struct_0(X1)
| k5_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_28,plain,
! [X152,X153,X154] :
( ( m1_filter_0(esk32_3(X152,X153,X154),X152)
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( v1_filter_0(esk32_3(X152,X153,X154),X152)
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( ~ r2_hidden(X153,esk32_3(X152,X153,X154))
| r2_hidden(X153,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( r2_hidden(X154,esk32_3(X152,X153,X154))
| r2_hidden(X153,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( ~ r2_hidden(X153,esk32_3(X152,X153,X154))
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) )
& ( r2_hidden(X154,esk32_3(X152,X153,X154))
| ~ r2_hidden(X154,esk32_3(X152,X153,X154))
| X153 = X154
| ~ m1_subset_1(X154,u1_struct_0(X152))
| ~ m1_subset_1(X153,u1_struct_0(X152))
| v3_struct_0(X152)
| ~ v10_lattices(X152)
| ~ v17_lattices(X152)
| ~ l3_lattices(X152) ) ),
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_21])])])])]) ).
cnf(c_0_29,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_filter_2(X1,X2),u1_struct_0(k1_lattice2(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
k5_filter_2(esk1_0,esk2_0) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_31,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1))
& v11_lattices(k1_lattice2(X1))
& v12_lattices(k1_lattice2(X1))
& v13_lattices(k1_lattice2(X1))
& v14_lattices(k1_lattice2(X1))
& v15_lattices(k1_lattice2(X1))
& v16_lattices(k1_lattice2(X1))
& v17_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc4_filter_2]) ).
cnf(c_0_32,plain,
( m1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k1_lattice2(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_29,c_0_24]),c_0_30]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_34,plain,
! [X95] :
( ( ~ v3_struct_0(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v3_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v4_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v5_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v6_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v7_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v8_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v9_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v10_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v11_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v12_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v13_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v14_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v15_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v16_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) )
& ( v17_lattices(k1_lattice2(X95))
| v3_struct_0(X95)
| ~ v10_lattices(X95)
| ~ v17_lattices(X95)
| ~ l3_lattices(X95) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
( v17_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
k5_filter_2(esk1_0,esk3_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_23,c_0_35]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1))
& v4_lattices(k1_lattice2(X1))
& v5_lattices(k1_lattice2(X1))
& v6_lattices(k1_lattice2(X1))
& v7_lattices(k1_lattice2(X1))
& v8_lattices(k1_lattice2(X1))
& v9_lattices(k1_lattice2(X1))
& v10_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_lattice2]) ).
cnf(c_0_41,negated_conjecture,
( X1 = esk2_0
| m1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(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_36,c_0_37]),c_0_25]),c_0_38]),c_0_26])]),c_0_27]) ).
cnf(c_0_42,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k1_lattice2(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_29,c_0_35]),c_0_39]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_43,negated_conjecture,
esk2_0 != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_44,plain,
! [X100] :
( ( ~ v3_struct_0(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v3_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v4_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v5_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v6_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v7_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v8_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v9_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) )
& ( v10_lattices(k1_lattice2(X100))
| v3_struct_0(X100)
| ~ v10_lattices(X100)
| ~ l3_lattices(X100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_45,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]) ).
cnf(c_0_46,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]) ).
cnf(c_0_47,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_48,plain,
! [X40] :
( ( v3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) )
& ( l3_lattices(k1_lattice2(X40))
| ~ l3_lattices(X40) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
fof(c_0_49,plain,
! [X50,X51] :
( ( ~ v1_xboole_0(X51)
| ~ m1_filter_0(X51,X50)
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) )
& ( m1_subset_1(X51,k1_zfmisc_1(u1_struct_0(X50)))
| ~ m1_filter_0(X51,X50)
| v3_struct_0(X50)
| ~ v10_lattices(X50)
| ~ l3_lattices(X50) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])])]) ).
cnf(c_0_50,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_51,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_52,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_49]) ).
cnf(c_0_53,negated_conjecture,
( m1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_25])]) ).
fof(c_0_54,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> m2_filter_2(k14_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k14_filter_2]) ).
fof(c_0_55,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_filter_0(X2,k1_lattice2(X1)) )
=> k14_filter_2(X1,X2) = k8_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k14_filter_2]) ).
fof(c_0_56,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(fof_simplification,[status(thm)],[dt_k8_filter_2]) ).
cnf(c_0_57,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
=> k8_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d7_filter_2]) ).
fof(c_0_59,plain,
! [X36,X37] :
( v3_struct_0(X36)
| ~ v10_lattices(X36)
| ~ l3_lattices(X36)
| ~ m1_filter_0(X37,k1_lattice2(X36))
| m2_filter_2(k14_filter_2(X36,X37),X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).
fof(c_0_60,plain,
! [X128,X129] :
( v3_struct_0(X128)
| ~ v10_lattices(X128)
| ~ l3_lattices(X128)
| ~ m1_filter_0(X129,k1_lattice2(X128))
| k14_filter_2(X128,X129) = k8_filter_2(X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])]) ).
fof(c_0_61,plain,
! [X45,X46] :
( v3_struct_0(X45)
| ~ v10_lattices(X45)
| ~ l3_lattices(X45)
| ~ m1_subset_1(X46,k1_zfmisc_1(u1_struct_0(k1_lattice2(X45))))
| m1_subset_1(k8_filter_2(X45,X46),k1_zfmisc_1(u1_struct_0(X45))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])]) ).
cnf(c_0_62,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
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_47]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_63,plain,
! [X31,X32] :
( v3_struct_0(X31)
| ~ v10_lattices(X31)
| ~ l3_lattices(X31)
| ~ m1_subset_1(X32,k1_zfmisc_1(u1_struct_0(k1_lattice2(X31))))
| k8_filter_2(X31,X32) = X32 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
cnf(c_0_64,plain,
( v3_struct_0(X1)
| m2_filter_2(k14_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( v3_struct_0(X1)
| k14_filter_2(X1,X2) = k8_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_filter_0(X2,k1_lattice2(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_66,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> k7_filter_2(X1,X2) = X2 ) ),
inference(fof_simplification,[status(thm)],[d6_filter_2]) ).
cnf(c_0_67,plain,
( v3_struct_0(X1)
| m1_subset_1(k8_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(k1_lattice2(esk1_0))))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_51]),c_0_25])]) ).
cnf(c_0_69,plain,
( v3_struct_0(X1)
| k8_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
fof(c_0_70,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m2_filter_2(X2,X1) )
=> k15_filter_2(X1,X2) = k7_filter_2(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k15_filter_2]) ).
cnf(c_0_71,negated_conjecture,
( m2_filter_2(k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_53]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_72,negated_conjecture,
( k14_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
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_53]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_73,plain,
( v1_filter_0(esk32_3(X1,X2,X3),X1)
| X2 = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_74,plain,
! [X29,X30] :
( v3_struct_0(X29)
| ~ v10_lattices(X29)
| ~ l3_lattices(X29)
| ~ m1_subset_1(X30,k1_zfmisc_1(u1_struct_0(X29)))
| k7_filter_2(X29,X30) = X30 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
cnf(c_0_75,negated_conjecture,
( m1_subset_1(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_76,negated_conjecture,
( k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_68]),c_0_25]),c_0_26])]),c_0_27]) ).
fof(c_0_77,plain,
! [X130,X131] :
( v3_struct_0(X130)
| ~ v10_lattices(X130)
| ~ l3_lattices(X130)
| ~ m2_filter_2(X131,X130)
| k15_filter_2(X130,X131) = k7_filter_2(X130,X131) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).
cnf(c_0_78,negated_conjecture,
( m2_filter_2(k8_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_33]) ).
fof(c_0_80,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( r2_filter_2(X1,X2)
<=> v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[t33_filter_2]) ).
cnf(c_0_81,plain,
( v3_struct_0(X1)
| k7_filter_2(X1,X2) = X2
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( m1_subset_1(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0)))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_83,plain,
( v3_struct_0(X1)
| k15_filter_2(X1,X2) = k7_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_filter_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,negated_conjecture,
( m2_filter_2(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),esk1_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_78,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( X1 = esk2_0
| v1_filter_0(esk32_3(k1_lattice2(esk1_0),X1,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(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_79,c_0_37]),c_0_25]),c_0_38]),c_0_26])]),c_0_27]) ).
fof(c_0_86,plain,
! [X142,X143] :
( ( ~ r2_filter_2(X142,X143)
| v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142))
| ~ m2_filter_2(X143,X142)
| v3_struct_0(X142)
| ~ v10_lattices(X142)
| ~ l3_lattices(X142) )
& ( ~ v1_filter_0(k15_filter_2(X142,X143),k1_lattice2(X142))
| r2_filter_2(X142,X143)
| ~ m2_filter_2(X143,X142)
| v3_struct_0(X142)
| ~ v10_lattices(X142)
| ~ l3_lattices(X142) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_80])])])]) ).
cnf(c_0_87,negated_conjecture,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
( k7_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_89,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_42]),c_0_43]) ).
cnf(c_0_90,plain,
( r2_filter_2(X1,X2)
| v3_struct_0(X1)
| ~ v1_filter_0(k15_filter_2(X1,X2),k1_lattice2(X1))
| ~ m2_filter_2(X2,X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( k15_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) = esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_47]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_93,plain,
( r2_hidden(X1,esk32_3(X2,X3,X1))
| r2_hidden(X3,esk32_3(X2,X3,X1))
| X3 = X1
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(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_28]) ).
cnf(c_0_94,negated_conjecture,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0)) ),
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_90,c_0_91]),c_0_25]),c_0_26])]),c_0_27]),c_0_84]) ).
cnf(c_0_95,negated_conjecture,
( v1_filter_0(esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0),k1_lattice2(esk1_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_51]),c_0_25])]) ).
cnf(c_0_96,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_93,c_0_42]) ).
cnf(c_0_97,negated_conjecture,
( r2_hidden(esk3_0,X1)
| ~ r2_hidden(esk2_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_98,negated_conjecture,
( r2_filter_2(esk1_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( X1 = esk3_0
| r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| r2_hidden(X1,esk32_3(k1_lattice2(esk1_0),esk3_0,X1))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(k1_lattice2(esk1_0)))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(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_96,c_0_37]),c_0_25]),c_0_38]),c_0_26])]),c_0_27]) ).
cnf(c_0_100,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_84]) ).
cnf(c_0_101,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_33]),c_0_43]),c_0_100]) ).
cnf(c_0_102,negated_conjecture,
( r2_hidden(esk2_0,X1)
| ~ r2_hidden(esk3_0,X1)
| ~ r2_filter_2(esk1_0,X1)
| ~ m2_filter_2(X1,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_103,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_47]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_104,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0))
| ~ r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_98]),c_0_84]) ).
cnf(c_0_105,negated_conjecture,
( r2_hidden(esk3_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_51]),c_0_25])]) ).
cnf(c_0_106,plain,
( X1 = X3
| v3_struct_0(X2)
| ~ r2_hidden(X1,esk32_3(X2,X1,X3))
| ~ r2_hidden(X3,esk32_3(X2,X1,X3))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X1,u1_struct_0(X2))
| ~ v10_lattices(X2)
| ~ v17_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_107,negated_conjecture,
( r2_hidden(esk2_0,esk32_3(k1_lattice2(esk1_0),esk3_0,esk2_0))
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v17_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
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_106,c_0_107]),c_0_33]),c_0_42])]),c_0_43]),c_0_105]) ).
fof(c_0_109,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l3_lattices(X1) )
=> ( ~ v3_struct_0(k1_lattice2(X1))
& v3_lattices(k1_lattice2(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc1_lattice2]) ).
cnf(c_0_110,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(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_108,c_0_37]),c_0_25]),c_0_38]),c_0_26])]),c_0_27]) ).
fof(c_0_111,plain,
! [X85] :
( ( ~ v3_struct_0(k1_lattice2(X85))
| v3_struct_0(X85)
| ~ l3_lattices(X85) )
& ( v3_lattices(k1_lattice2(X85))
| v3_struct_0(X85)
| ~ l3_lattices(X85) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])]) ).
cnf(c_0_112,negated_conjecture,
( v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_47]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_113,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_114,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_51]),c_0_25])]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_25])]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT324+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
% 0.15/0.34 % Computer : n022.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 24 06:14:10 EDT 2023
% 0.15/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 56.72/56.78 % Version : CSE_E---1.5
% 56.72/56.78 % Problem : theBenchmark.p
% 56.72/56.78 % Proof found
% 56.72/56.78 % SZS status Theorem for theBenchmark.p
% 56.72/56.78 % SZS output start Proof
% See solution above
% 56.80/56.80 % Total time : 56.198000 s
% 56.80/56.80 % SZS output end Proof
% 56.80/56.80 % Total time : 56.205000 s
%------------------------------------------------------------------------------