TSTP Solution File: LAT312+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT312+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 : n028.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 06:01:12 EDT 2023
% Result : Theorem 0.99s 1.09s
% Output : CNFRefutation 0.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 115
% Syntax : Number of formulae : 242 ( 33 unt; 88 typ; 0 def)
% Number of atoms : 675 ( 88 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 791 ( 270 ~; 286 |; 157 &)
% ( 2 <=>; 76 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 114 ( 69 >; 45 *; 0 +; 0 <<)
% Number of predicates : 37 ( 35 usr; 1 prp; 0-3 aty)
% Number of functors : 53 ( 53 usr; 19 con; 0-3 aty)
% Number of variables : 209 ( 1 sgn; 144 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v3_struct_0: $i > $o ).
tff(decl_23,type,
v10_lattices: $i > $o ).
tff(decl_24,type,
l3_lattices: $i > $o ).
tff(decl_25,type,
u1_struct_0: $i > $i ).
tff(decl_26,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_27,type,
v1_xboole_0: $i > $o ).
tff(decl_28,type,
k1_zfmisc_1: $i > $i ).
tff(decl_29,type,
k6_domain_1: ( $i * $i ) > $i ).
tff(decl_30,type,
r1_filter_2: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
k19_filter_2: ( $i * $i ) > $i ).
tff(decl_32,type,
k18_filter_2: ( $i * $i ) > $i ).
tff(decl_33,type,
v3_lattices: $i > $o ).
tff(decl_34,type,
u2_lattices: $i > $i ).
tff(decl_35,type,
u1_lattices: $i > $i ).
tff(decl_36,type,
g3_lattices: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_38,type,
v1_funct_1: $i > $o ).
tff(decl_39,type,
v4_lattices: $i > $o ).
tff(decl_40,type,
v5_lattices: $i > $o ).
tff(decl_41,type,
v6_lattices: $i > $o ).
tff(decl_42,type,
v7_lattices: $i > $o ).
tff(decl_43,type,
v8_lattices: $i > $o ).
tff(decl_44,type,
v9_lattices: $i > $o ).
tff(decl_45,type,
v1_realset1: $i > $o ).
tff(decl_46,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_47,type,
v1_relat_1: $i > $o ).
tff(decl_48,type,
v2_funct_1: $i > $o ).
tff(decl_49,type,
k1_lattice2: $i > $i ).
tff(decl_50,type,
k2_filter_0: ( $i * $i ) > $i ).
tff(decl_51,type,
a_2_0_filter_0: ( $i * $i ) > $i ).
tff(decl_52,type,
k5_filter_2: ( $i * $i ) > $i ).
tff(decl_53,type,
k7_filter_2: ( $i * $i ) > $i ).
tff(decl_54,type,
k8_filter_2: ( $i * $i ) > $i ).
tff(decl_55,type,
a_2_0_filter_2: ( $i * $i ) > $i ).
tff(decl_56,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_57,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
m2_filter_2: ( $i * $i ) > $o ).
tff(decl_59,type,
m1_filter_0: ( $i * $i ) > $o ).
tff(decl_60,type,
k2_filter_2: ( $i * $i ) > $i ).
tff(decl_61,type,
m1_filter_2: ( $i * $i ) > $o ).
tff(decl_62,type,
k3_filter_0: ( $i * $i ) > $i ).
tff(decl_63,type,
k3_filter_2: ( $i * $i ) > $i ).
tff(decl_64,type,
l1_lattices: $i > $o ).
tff(decl_65,type,
l1_struct_0: $i > $o ).
tff(decl_66,type,
l2_lattices: $i > $o ).
tff(decl_67,type,
m2_lattice4: ( $i * $i ) > $o ).
tff(decl_68,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
k1_xboole_0: $i ).
tff(decl_70,type,
v1_binop_1: ( $i * $i ) > $o ).
tff(decl_71,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
k1_tarski: $i > $i ).
tff(decl_73,type,
v2_binop_1: ( $i * $i ) > $o ).
tff(decl_74,type,
v1_finset_1: $i > $o ).
tff(decl_75,type,
r3_lattices: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
r1_lattices: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
r1_tarski: ( $i * $i ) > $o ).
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_0: $i ).
tff(decl_85,type,
esk8_1: $i > $i ).
tff(decl_86,type,
esk9_1: $i > $i ).
tff(decl_87,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk11_1: $i > $i ).
tff(decl_89,type,
esk12_1: $i > $i ).
tff(decl_90,type,
esk13_1: $i > $i ).
tff(decl_91,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk17_0: $i ).
tff(decl_95,type,
esk18_1: $i > $i ).
tff(decl_96,type,
esk19_0: $i ).
tff(decl_97,type,
esk20_1: $i > $i ).
tff(decl_98,type,
esk21_0: $i ).
tff(decl_99,type,
esk22_0: $i ).
tff(decl_100,type,
esk23_0: $i ).
tff(decl_101,type,
esk24_1: $i > $i ).
tff(decl_102,type,
esk25_0: $i ).
tff(decl_103,type,
esk26_0: $i ).
tff(decl_104,type,
esk27_0: $i ).
tff(decl_105,type,
esk28_0: $i ).
tff(decl_106,type,
esk29_1: $i > $i ).
tff(decl_107,type,
esk30_0: $i ).
tff(decl_108,type,
esk31_0: $i ).
tff(decl_109,type,
esk32_2: ( $i * $i ) > $i ).
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(t41_filter_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t41_filter_2) ).
fof(t2_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,X2)
=> ( v1_xboole_0(X2)
| r2_hidden(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(dt_k7_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(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_filter_2) ).
fof(redefinition_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
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(t37_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_filter_2) ).
fof(rc5_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
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(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(dt_k6_domain_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_domain_1) ).
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(redefinition_r1_filter_2,axiom,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_filter_2) ).
fof(d9_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_filter_2) ).
fof(redefinition_k3_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k3_filter_2) ).
fof(dt_l1_lattices,axiom,
! [X1] :
( l1_lattices(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_lattices) ).
fof(t30_filter_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X3 = k6_domain_1(u1_struct_0(X1),X2)
=> k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_0) ).
fof(t30_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_filter_2) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(redefinition_k2_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_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_k19_filter_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k19_filter_2) ).
fof(dt_m2_filter_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_filter_2) ).
fof(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_m2_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_lattice4) ).
fof(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_27,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]) ).
fof(c_0_28,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( r1_filter_2(u1_struct_0(X1),X3,k6_domain_1(u1_struct_0(X1),X2))
=> r1_filter_2(u1_struct_0(X1),k19_filter_2(X1,X3),k18_filter_2(X1,X2)) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t41_filter_2])]) ).
fof(c_0_29,plain,
! [X175,X176] :
( ~ m1_subset_1(X175,X176)
| v1_xboole_0(X176)
| r2_hidden(X175,X176) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
fof(c_0_30,plain,
! [X83] : m1_subset_1(esk11_1(X83),X83),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
fof(c_0_31,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) ),
inference(fof_simplification,[status(thm)],[dt_k7_filter_2]) ).
fof(c_0_32,plain,
! [X26,X27] :
( v3_struct_0(X26)
| ~ v10_lattices(X26)
| ~ l3_lattices(X26)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| k7_filter_2(X26,X27) = X27 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_33,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& l3_lattices(esk1_0)
& m1_subset_1(esk2_0,u1_struct_0(esk1_0))
& ~ v1_xboole_0(esk3_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0))
& ~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_34,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> k6_domain_1(X1,X2) = k1_tarski(X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k6_domain_1]) ).
fof(c_0_35,plain,
! [X193,X194,X195] :
( ~ r2_hidden(X193,X194)
| ~ m1_subset_1(X194,k1_zfmisc_1(X195))
| ~ v1_xboole_0(X195) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t5_subset])]) ).
cnf(c_0_36,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
m1_subset_1(esk11_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_38,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1)))) )
=> ( k3_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2)) = k19_filter_2(X1,X2)
& k3_filter_2(X1,X2) = k19_filter_2(k1_lattice2(X1),k7_filter_2(X1,X2))
& k3_filter_2(X1,k8_filter_2(X1,X3)) = k19_filter_2(k1_lattice2(X1),X3)
& k3_filter_2(k1_lattice2(X1),X3) = k19_filter_2(X1,k8_filter_2(X1,X3)) ) ) ) ),
inference(fof_simplification,[status(thm)],[t37_filter_2]) ).
fof(c_0_39,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& ~ v1_xboole_0(X2) ) ),
inference(fof_simplification,[status(thm)],[rc5_struct_0]) ).
fof(c_0_40,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_41,plain,
! [X52,X53] :
( v3_struct_0(X52)
| ~ v10_lattices(X52)
| ~ l3_lattices(X52)
| ~ m1_subset_1(X53,k1_zfmisc_1(u1_struct_0(X52)))
| m1_subset_1(k7_filter_2(X52,X53),k1_zfmisc_1(u1_struct_0(k1_lattice2(X52)))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).
cnf(c_0_42,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_32]) ).
cnf(c_0_43,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_45,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_46,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_47,plain,
! [X150,X151] :
( v1_xboole_0(X150)
| ~ m1_subset_1(X151,X150)
| k6_domain_1(X150,X151) = k1_tarski(X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).
cnf(c_0_48,plain,
( ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| ~ v1_xboole_0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
( r2_hidden(esk11_1(X1),X1)
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_50,plain,
! [X185,X186,X187] :
( ( k3_filter_2(k1_lattice2(X185),k7_filter_2(X185,X186)) = k19_filter_2(X185,X186)
| v1_xboole_0(X187)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X186)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) )
& ( k3_filter_2(X185,X186) = k19_filter_2(k1_lattice2(X185),k7_filter_2(X185,X186))
| v1_xboole_0(X187)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X186)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) )
& ( k3_filter_2(X185,k8_filter_2(X185,X187)) = k19_filter_2(k1_lattice2(X185),X187)
| v1_xboole_0(X187)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X186)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) )
& ( k3_filter_2(k1_lattice2(X185),X187) = k19_filter_2(X185,k8_filter_2(X185,X187))
| v1_xboole_0(X187)
| ~ m1_subset_1(X187,k1_zfmisc_1(u1_struct_0(k1_lattice2(X185))))
| v1_xboole_0(X186)
| ~ m1_subset_1(X186,k1_zfmisc_1(u1_struct_0(X185)))
| v3_struct_0(X185)
| ~ v10_lattices(X185)
| ~ l3_lattices(X185) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])])]) ).
fof(c_0_51,plain,
! [X142] :
( ( m1_subset_1(esk29_1(X142),k1_zfmisc_1(u1_struct_0(X142)))
| v3_struct_0(X142)
| ~ l1_struct_0(X142) )
& ( ~ v1_xboole_0(esk29_1(X142))
| v3_struct_0(X142)
| ~ l1_struct_0(X142) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_52,plain,
! [X28,X29] :
( v3_struct_0(X28)
| ~ v10_lattices(X28)
| ~ l3_lattices(X28)
| ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(k1_lattice2(X28))))
| k8_filter_2(X28,X29) = X29 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
cnf(c_0_53,plain,
( v3_struct_0(X1)
| m1_subset_1(k7_filter_2(X1,X2),k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_54,negated_conjecture,
k7_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_42,c_0_43]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_55,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]) ).
cnf(c_0_56,plain,
( v1_xboole_0(X1)
| k6_domain_1(X1,X2) = k1_tarski(X2)
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_58,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,X1) )
=> m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k6_domain_1]) ).
cnf(c_0_59,plain,
( v1_xboole_0(X1)
| ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
~ v1_xboole_0(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_61,plain,
( k3_filter_2(k1_lattice2(X1),X2) = k19_filter_2(X1,k8_filter_2(X1,X2))
| v1_xboole_0(X2)
| v1_xboole_0(X3)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_62,plain,
( m1_subset_1(esk29_1(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| ~ v1_xboole_0(esk29_1(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_64,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_52]) ).
cnf(c_0_65,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(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_53,c_0_43]),c_0_54]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_66,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_67,plain,
! [X24,X25] :
( v3_struct_0(X24)
| ~ v10_lattices(X24)
| ~ l3_lattices(X24)
| ~ m1_subset_1(X25,u1_struct_0(X24))
| k5_filter_2(X24,X25) = X25 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).
fof(c_0_68,plain,
! [X1,X2,X3] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X2,k1_zfmisc_1(X1))
& m1_subset_1(X3,k1_zfmisc_1(X1)) )
=> ( r1_filter_2(X1,X2,X3)
<=> X2 = X3 ) ),
inference(fof_simplification,[status(thm)],[redefinition_r1_filter_2]) ).
cnf(c_0_69,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k6_domain_1(u1_struct_0(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_70,negated_conjecture,
( k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0)
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_71,plain,
! [X50,X51] :
( v1_xboole_0(X50)
| ~ m1_subset_1(X51,X50)
| m1_subset_1(k6_domain_1(X50,X51),k1_zfmisc_1(X50)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])]) ).
cnf(c_0_72,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_43]),c_0_60]) ).
fof(c_0_73,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[d9_filter_2]) ).
fof(c_0_74,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> k3_filter_2(X1,X2) = k3_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k3_filter_2]) ).
cnf(c_0_75,plain,
( k19_filter_2(X1,k8_filter_2(X1,X2)) = k3_filter_2(k1_lattice2(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(k1_lattice2(X1))))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).
cnf(c_0_76,negated_conjecture,
k8_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_64,c_0_65]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_77,plain,
! [X56] :
( ~ l1_lattices(X56)
| l1_struct_0(X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_lattices])]) ).
fof(c_0_78,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( ( ~ v1_xboole_0(X3)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X3 = k6_domain_1(u1_struct_0(X1),X2)
=> k3_filter_0(X1,X3) = k2_filter_0(X1,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_0]) ).
fof(c_0_79,plain,
! [X48,X49] :
( v3_struct_0(X48)
| ~ v10_lattices(X48)
| ~ l3_lattices(X48)
| ~ m1_subset_1(X49,u1_struct_0(X48))
| m1_subset_1(k5_filter_2(X48,X49),u1_struct_0(k1_lattice2(X48))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])]) ).
cnf(c_0_80,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_67]) ).
fof(c_0_81,plain,
! [X157,X158,X159] :
( ( ~ r1_filter_2(X157,X158,X159)
| X158 = X159
| v1_xboole_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| ~ m1_subset_1(X159,k1_zfmisc_1(X157)) )
& ( X158 != X159
| r1_filter_2(X157,X158,X159)
| v1_xboole_0(X157)
| ~ m1_subset_1(X158,k1_zfmisc_1(X157))
| ~ m1_subset_1(X159,k1_zfmisc_1(X157)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
cnf(c_0_82,negated_conjecture,
( r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_83,plain,
( v1_xboole_0(X1)
| m1_subset_1(k6_domain_1(X1,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_84,negated_conjecture,
k6_domain_1(u1_struct_0(esk1_0),esk2_0) = k1_tarski(esk2_0),
inference(sr,[status(thm)],[c_0_70,c_0_72]) ).
fof(c_0_85,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
& k18_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2)) = k2_filter_2(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[t30_filter_2]) ).
fof(c_0_86,plain,
! [X30,X31] :
( v3_struct_0(X30)
| ~ v10_lattices(X30)
| ~ l3_lattices(X30)
| ~ m1_subset_1(X31,u1_struct_0(X30))
| k18_filter_2(X30,X31) = a_2_0_filter_2(X30,X31) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_73])])]) ).
fof(c_0_87,plain,
! [X148,X149] :
( v3_struct_0(X148)
| ~ v10_lattices(X148)
| ~ l3_lattices(X148)
| v1_xboole_0(X149)
| ~ m1_subset_1(X149,k1_zfmisc_1(u1_struct_0(X148)))
| k3_filter_2(X148,X149) = k3_filter_0(X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_74])]) ).
cnf(c_0_88,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| ~ l1_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(spm,[status(thm)],[c_0_75,c_0_65]),c_0_76]),c_0_44]),c_0_45])]),c_0_60]),c_0_46]) ).
cnf(c_0_89,plain,
( l1_struct_0(X1)
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
fof(c_0_90,plain,
! [X58] :
( ( l1_lattices(X58)
| ~ l3_lattices(X58) )
& ( l2_lattices(X58)
| ~ l3_lattices(X58) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])]) ).
fof(c_0_91,plain,
! [X180,X181,X182] :
( v3_struct_0(X180)
| ~ v10_lattices(X180)
| ~ l3_lattices(X180)
| ~ m1_subset_1(X181,u1_struct_0(X180))
| v1_xboole_0(X182)
| ~ m1_subset_1(X182,k1_zfmisc_1(u1_struct_0(X180)))
| X182 != k6_domain_1(u1_struct_0(X180),X181)
| k3_filter_0(X180,X182) = k2_filter_0(X180,X181) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_78])])]) ).
cnf(c_0_92,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_79]) ).
cnf(c_0_93,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_80,c_0_57]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_94,plain,
( X2 = X3
| v1_xboole_0(X1)
| ~ r1_filter_2(X1,X2,X3)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_95,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),esk3_0,k1_tarski(esk2_0)),
inference(sr,[status(thm)],[c_0_82,c_0_72]) ).
cnf(c_0_96,negated_conjecture,
m1_subset_1(k1_tarski(esk2_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_57]),c_0_84]),c_0_72]) ).
fof(c_0_97,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> k2_filter_2(X1,X2) = k2_filter_0(X1,X2) ),
inference(fof_simplification,[status(thm)],[redefinition_k2_filter_2]) ).
fof(c_0_98,plain,
! [X183,X184] :
( ( k18_filter_2(X183,X184) = k2_filter_2(k1_lattice2(X183),k5_filter_2(X183,X184))
| ~ m1_subset_1(X184,u1_struct_0(X183))
| v3_struct_0(X183)
| ~ v10_lattices(X183)
| ~ l3_lattices(X183) )
& ( k18_filter_2(k1_lattice2(X183),k5_filter_2(X183,X184)) = k2_filter_2(X183,X184)
| ~ m1_subset_1(X184,u1_struct_0(X183))
| v3_struct_0(X183)
| ~ v10_lattices(X183)
| ~ l3_lattices(X183) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])])]) ).
cnf(c_0_99,plain,
( v3_struct_0(X1)
| k18_filter_2(X1,X2) = a_2_0_filter_2(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_100,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| k3_filter_2(X1,X2) = k3_filter_0(X1,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_87]) ).
cnf(c_0_101,negated_conjecture,
( k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| ~ l1_lattices(esk1_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_102,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_103,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_104,plain,
( v3_struct_0(X1)
| v1_xboole_0(X3)
| k3_filter_0(X1,X3) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| X3 != k6_domain_1(u1_struct_0(X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_105,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_92,c_0_57]),c_0_93]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_106,negated_conjecture,
k1_tarski(esk2_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_94,c_0_95]),c_0_96]),c_0_43])]),c_0_72]) ).
cnf(c_0_107,negated_conjecture,
~ v1_xboole_0(u1_struct_0(k1_lattice2(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_65]),c_0_60]) ).
fof(c_0_108,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m2_filter_2(k19_filter_2(X1,X2),X1) ),
inference(fof_simplification,[status(thm)],[dt_k19_filter_2]) ).
fof(c_0_109,plain,
! [X146,X147] :
( v3_struct_0(X146)
| ~ v10_lattices(X146)
| ~ l3_lattices(X146)
| ~ m1_subset_1(X147,u1_struct_0(X146))
| k2_filter_2(X146,X147) = k2_filter_0(X146,X147) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_97])]) ).
cnf(c_0_110,plain,
( k18_filter_2(X1,X2) = k2_filter_2(k1_lattice2(X1),k5_filter_2(X1,X2))
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_111,negated_conjecture,
k18_filter_2(esk1_0,esk2_0) = a_2_0_filter_2(esk1_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_99,c_0_57]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_112,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k3_filter_2(k1_lattice2(esk1_0),esk3_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_100,c_0_65]),c_0_60]) ).
cnf(c_0_113,negated_conjecture,
k3_filter_2(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_44])]) ).
fof(c_0_114,plain,
! [X110] :
( ( ~ v3_struct_0(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v3_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v4_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v5_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v6_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v7_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v8_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v9_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) )
& ( v10_lattices(k1_lattice2(X110))
| v3_struct_0(X110)
| ~ v10_lattices(X110)
| ~ l3_lattices(X110) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_103])])]) ).
cnf(c_0_115,plain,
( k3_filter_0(X1,k6_domain_1(u1_struct_0(X1),X2)) = k2_filter_0(X1,X2)
| v1_xboole_0(k6_domain_1(u1_struct_0(X1),X2))
| v3_struct_0(X1)
| ~ m1_subset_1(k6_domain_1(u1_struct_0(X1),X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l3_lattices(X1)
| ~ v10_lattices(X1) ),
inference(er,[status(thm)],[c_0_104]) ).
cnf(c_0_116,negated_conjecture,
k6_domain_1(u1_struct_0(k1_lattice2(esk1_0)),esk2_0) = esk3_0,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_105]),c_0_106]),c_0_107]) ).
fof(c_0_117,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_filter_2(X2,X1)
=> ( ~ v1_xboole_0(X2)
& m2_lattice4(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_filter_2]) ).
fof(c_0_118,plain,
! [X37,X38] :
( v3_struct_0(X37)
| ~ v10_lattices(X37)
| ~ l3_lattices(X37)
| v1_xboole_0(X38)
| ~ m1_subset_1(X38,k1_zfmisc_1(u1_struct_0(X37)))
| m2_filter_2(k19_filter_2(X37,X38),X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])]) ).
cnf(c_0_119,plain,
( v3_struct_0(X1)
| k2_filter_2(X1,X2) = k2_filter_0(X1,X2)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_120,negated_conjecture,
k2_filter_2(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_57]),c_0_93]),c_0_111]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_121,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_122,plain,
( v10_lattices(k1_lattice2(X1))
| v3_struct_0(X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
fof(c_0_123,plain,
! [X39] :
( ( v3_lattices(k1_lattice2(X39))
| ~ l3_lattices(X39) )
& ( l3_lattices(k1_lattice2(X39))
| ~ l3_lattices(X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_lattice2])])]) ).
cnf(c_0_124,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_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(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_115,c_0_105]),c_0_116]),c_0_116]),c_0_116]),c_0_65])]),c_0_60]) ).
fof(c_0_125,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m2_lattice4(X2,X1)
=> m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_m2_lattice4]) ).
fof(c_0_126,plain,
! [X63,X64] :
( ( ~ v1_xboole_0(X64)
| ~ m2_filter_2(X64,X63)
| v3_struct_0(X63)
| ~ v10_lattices(X63)
| ~ l3_lattices(X63) )
& ( m2_lattice4(X64,X63)
| ~ m2_filter_2(X64,X63)
| v3_struct_0(X63)
| ~ v10_lattices(X63)
| ~ l3_lattices(X63) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_117])])])]) ).
cnf(c_0_127,plain,
( v3_struct_0(X1)
| v1_xboole_0(X2)
| m2_filter_2(k19_filter_2(X1,X2),X1)
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_128,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0))
| ~ l3_lattices(k1_lattice2(esk1_0))
| ~ v10_lattices(k1_lattice2(esk1_0)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_105]),c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_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_121,c_0_122]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_130,plain,
( l3_lattices(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_131,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_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_124,c_0_122]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_132,plain,
! [X65,X66] :
( v3_struct_0(X65)
| ~ v10_lattices(X65)
| ~ l3_lattices(X65)
| ~ m2_lattice4(X66,X65)
| m1_subset_1(X66,k1_zfmisc_1(u1_struct_0(X65))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])]) ).
cnf(c_0_133,plain,
( m2_lattice4(X1,X2)
| v3_struct_0(X2)
| ~ m2_filter_2(X1,X2)
| ~ v10_lattices(X2)
| ~ l3_lattices(X2) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_134,negated_conjecture,
m2_filter_2(k19_filter_2(esk1_0,esk3_0),esk1_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_43]),c_0_44]),c_0_45])]),c_0_60]),c_0_46]) ).
cnf(c_0_135,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_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_128,c_0_122]),c_0_44]),c_0_45])]),c_0_46]) ).
cnf(c_0_136,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_44])]) ).
cnf(c_0_137,negated_conjecture,
( k3_filter_0(k1_lattice2(esk1_0),esk3_0) = k2_filter_0(k1_lattice2(esk1_0),esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_130]),c_0_44])]) ).
cnf(c_0_138,plain,
( r1_filter_2(X3,X1,X2)
| v1_xboole_0(X3)
| X1 != X2
| ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_139,plain,
( v3_struct_0(X1)
| m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v10_lattices(X1)
| ~ l3_lattices(X1)
| ~ m2_lattice4(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_140,negated_conjecture,
m2_lattice4(k19_filter_2(esk1_0,esk3_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_133,c_0_134]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_141,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_142,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k18_filter_2(esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_143,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = a_2_0_filter_2(esk1_0,esk2_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_130]),c_0_44])]) ).
cnf(c_0_144,negated_conjecture,
( k2_filter_0(k1_lattice2(esk1_0),esk2_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_145,plain,
( r1_filter_2(X1,X2,X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1)) ),
inference(er,[status(thm)],[c_0_138]) ).
cnf(c_0_146,negated_conjecture,
m1_subset_1(k19_filter_2(esk1_0,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_139,c_0_140]),c_0_44]),c_0_45])]),c_0_46]) ).
fof(c_0_147,plain,
! [X94] :
( ( ~ v3_struct_0(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ l3_lattices(X94) )
& ( v3_lattices(k1_lattice2(X94))
| v3_struct_0(X94)
| ~ l3_lattices(X94) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_141])])]) ).
cnf(c_0_148,negated_conjecture,
~ r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),a_2_0_filter_2(esk1_0,esk2_0)),
inference(rw,[status(thm)],[c_0_142,c_0_111]) ).
cnf(c_0_149,negated_conjecture,
( a_2_0_filter_2(esk1_0,esk2_0) = k19_filter_2(esk1_0,esk3_0)
| v3_struct_0(k1_lattice2(esk1_0)) ),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
r1_filter_2(u1_struct_0(esk1_0),k19_filter_2(esk1_0,esk3_0),k19_filter_2(esk1_0,esk3_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_146]),c_0_72]) ).
cnf(c_0_151,plain,
( v3_struct_0(X1)
| ~ v3_struct_0(k1_lattice2(X1))
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_152,negated_conjecture,
v3_struct_0(k1_lattice2(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_150])]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_44])]),c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT312+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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 06:37:49 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.99/1.09 % Version : CSE_E---1.5
% 0.99/1.09 % Problem : theBenchmark.p
% 0.99/1.09 % Proof found
% 0.99/1.09 % SZS status Theorem for theBenchmark.p
% 0.99/1.09 % SZS output start Proof
% See solution above
% 0.99/1.11 % Total time : 0.512000 s
% 0.99/1.11 % SZS output end Proof
% 0.99/1.11 % Total time : 0.518000 s
%------------------------------------------------------------------------------