TSTP Solution File: LAT374+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT374+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:02:13 EDT 2023
% Result : Theorem 2.63s 2.72s
% Output : CNFRefutation 2.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 131
% Syntax : Number of formulae : 209 ( 18 unt; 116 typ; 0 def)
% Number of atoms : 661 ( 48 equ)
% Maximal formula atoms : 227 ( 7 avg)
% Number of connectives : 881 ( 313 ~; 384 |; 120 &)
% ( 13 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 41 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 149 ( 96 >; 53 *; 0 +; 0 <<)
% Number of predicates : 63 ( 61 usr; 1 prp; 0-4 aty)
% Number of functors : 55 ( 55 usr; 20 con; 0-4 aty)
% Number of variables : 125 ( 0 sgn; 82 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_setfam_1: $i > $o ).
tff(decl_23,type,
v2_orders_2: $i > $o ).
tff(decl_24,type,
v3_orders_2: $i > $o ).
tff(decl_25,type,
v4_orders_2: $i > $o ).
tff(decl_26,type,
v1_lattice3: $i > $o ).
tff(decl_27,type,
v2_lattice3: $i > $o ).
tff(decl_28,type,
l1_orders_2: $i > $o ).
tff(decl_29,type,
k9_waybel34: $i > $i ).
tff(decl_30,type,
u1_struct_0: $i > $i ).
tff(decl_31,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_32,type,
v1_orders_2: $i > $o ).
tff(decl_33,type,
v3_lattice3: $i > $o ).
tff(decl_34,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_35,type,
u1_orders_2: $i > $i ).
tff(decl_36,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_37,type,
l2_altcat_1: $i > $o ).
tff(decl_38,type,
v6_altcat_1: $i > $o ).
tff(decl_39,type,
u1_altcat_1: $i > $i ).
tff(decl_40,type,
u2_altcat_1: $i > $i ).
tff(decl_41,type,
g2_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
v1_membered: $i > $o ).
tff(decl_43,type,
v1_xcmplx_0: $i > $o ).
tff(decl_44,type,
v3_struct_0: $i > $o ).
tff(decl_45,type,
v24_waybel_0: $i > $o ).
tff(decl_46,type,
v25_waybel_0: $i > $o ).
tff(decl_47,type,
v2_membered: $i > $o ).
tff(decl_48,type,
v1_xreal_0: $i > $o ).
tff(decl_49,type,
v1_yellow_0: $i > $o ).
tff(decl_50,type,
v2_altcat_1: $i > $o ).
tff(decl_51,type,
v11_altcat_1: $i > $o ).
tff(decl_52,type,
v12_altcat_1: $i > $o ).
tff(decl_53,type,
v3_yellow21: $i > $o ).
tff(decl_54,type,
m1_altcat_2: ( $i * $i ) > $o ).
tff(decl_55,type,
v3_altcat_2: ( $i * $i ) > $o ).
tff(decl_56,type,
v9_altcat_1: $i > $o ).
tff(decl_57,type,
v1_altcat_2: $i > $o ).
tff(decl_58,type,
v2_yellow18: $i > $o ).
tff(decl_59,type,
v3_yellow18: $i > $o ).
tff(decl_60,type,
v4_yellow18: $i > $o ).
tff(decl_61,type,
v1_yellow21: $i > $o ).
tff(decl_62,type,
v2_yellow21: $i > $o ).
tff(decl_63,type,
v3_membered: $i > $o ).
tff(decl_64,type,
v1_rat_1: $i > $o ).
tff(decl_65,type,
v2_yellow_0: $i > $o ).
tff(decl_66,type,
v3_yellow_0: $i > $o ).
tff(decl_67,type,
v4_membered: $i > $o ).
tff(decl_68,type,
v1_int_1: $i > $o ).
tff(decl_69,type,
v5_membered: $i > $o ).
tff(decl_70,type,
v4_ordinal2: $i > $o ).
tff(decl_71,type,
v1_xboole_0: $i > $o ).
tff(decl_72,type,
k1_zfmisc_1: $i > $i ).
tff(decl_73,type,
v1_finset_1: $i > $o ).
tff(decl_74,type,
v1_funct_1: $i > $o ).
tff(decl_75,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_76,type,
v1_relat_1: $i > $o ).
tff(decl_77,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
v2_funct_1: $i > $o ).
tff(decl_83,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_84,type,
r2_altcat_2: ( $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
k3_zfmisc_1: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
k5_waybel34: $i > $i ).
tff(decl_87,type,
k1_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
k1_xboole_0: $i ).
tff(decl_89,type,
k3_yellow21: ( $i * $i ) > $i ).
tff(decl_90,type,
k5_yellow21: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_93,type,
k3_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
k2_altcat_1: ( $i * $i ) > $i ).
tff(decl_95,type,
m3_pboole: ( $i * $i * $i * $i ) > $o ).
tff(decl_96,type,
k1_yellow21: $i > $i ).
tff(decl_97,type,
l1_struct_0: $i > $o ).
tff(decl_98,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_99,type,
l1_altcat_1: $i > $o ).
tff(decl_100,type,
r1_altcat_2: ( $i * $i ) > $o ).
tff(decl_101,type,
epred1_1: $i > $o ).
tff(decl_102,type,
esk1_0: $i ).
tff(decl_103,type,
esk2_0: $i ).
tff(decl_104,type,
esk3_0: $i ).
tff(decl_105,type,
esk4_0: $i ).
tff(decl_106,type,
esk5_0: $i ).
tff(decl_107,type,
esk6_0: $i ).
tff(decl_108,type,
esk7_1: $i > $i ).
tff(decl_109,type,
esk8_1: $i > $i ).
tff(decl_110,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk10_1: $i > $i ).
tff(decl_112,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
esk13_0: $i ).
tff(decl_115,type,
esk14_0: $i ).
tff(decl_116,type,
esk15_0: $i ).
tff(decl_117,type,
esk16_0: $i ).
tff(decl_118,type,
esk17_0: $i ).
tff(decl_119,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk19_0: $i ).
tff(decl_121,type,
esk20_0: $i ).
tff(decl_122,type,
esk21_0: $i ).
tff(decl_123,type,
esk22_0: $i ).
tff(decl_124,type,
esk23_0: $i ).
tff(decl_125,type,
esk24_1: $i > $i ).
tff(decl_126,type,
esk25_0: $i ).
tff(decl_127,type,
esk26_1: $i > $i ).
tff(decl_128,type,
esk27_0: $i ).
tff(decl_129,type,
esk28_1: $i > $i ).
tff(decl_130,type,
esk29_1: $i > $i ).
tff(decl_131,type,
esk30_0: $i ).
tff(decl_132,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_133,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_134,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_136,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_137,type,
esk36_2: ( $i * $i ) > $i ).
fof(t49_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(t15_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel34) ).
fof(d11_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( l2_altcat_1(X2)
=> ( m1_altcat_2(X2,X1)
<=> ( r1_tarski(u1_struct_0(X2),u1_struct_0(X1))
& r2_altcat_2(k2_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2)),k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)),u1_altcat_1(X2),u1_altcat_1(X1))
& r2_altcat_2(k3_zfmisc_1(u1_struct_0(X2),u1_struct_0(X2),u1_struct_0(X2)),k3_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1)),u2_altcat_1(X2),u2_altcat_1(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_altcat_2) ).
fof(dt_m1_altcat_2,axiom,
! [X1] :
( l2_altcat_1(X1)
=> ! [X2] :
( m1_altcat_2(X2,X1)
=> l2_altcat_1(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_altcat_2) ).
fof(dt_k9_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(dt_k5_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
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(t4_subset,axiom,
! [X1,X2,X3] :
( ( r2_hidden(X1,X2)
& m1_subset_1(X2,k1_zfmisc_1(X3)) )
=> m1_subset_1(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(t3_subset,axiom,
! [X1,X2] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
<=> r1_tarski(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_altcat_1,axiom,
! [X1] :
( l1_altcat_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_altcat_1) ).
fof(dt_l2_altcat_1,axiom,
! [X1] :
( l2_altcat_1(X1)
=> l1_altcat_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(d11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_waybel34) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t49_waybel34])]) ).
fof(c_0_15,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_16,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( m1_subset_1(X2,u1_struct_0(k5_waybel34(X1)))
<=> ( v1_orders_2(X2)
& v3_lattice3(X2)
& r2_hidden(u1_struct_0(X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_waybel34]) ).
fof(c_0_17,plain,
! [X79,X80] :
( ( r1_tarski(u1_struct_0(X80),u1_struct_0(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( r2_altcat_2(k2_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80)),k2_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79)),u1_altcat_1(X80),u1_altcat_1(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( r2_altcat_2(k3_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80),u1_struct_0(X80)),k3_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79),u1_struct_0(X79)),u2_altcat_1(X80),u2_altcat_1(X79))
| ~ m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) )
& ( ~ r1_tarski(u1_struct_0(X80),u1_struct_0(X79))
| ~ r2_altcat_2(k2_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80)),k2_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79)),u1_altcat_1(X80),u1_altcat_1(X79))
| ~ r2_altcat_2(k3_zfmisc_1(u1_struct_0(X80),u1_struct_0(X80),u1_struct_0(X80)),k3_zfmisc_1(u1_struct_0(X79),u1_struct_0(X79),u1_struct_0(X79)),u2_altcat_1(X80),u2_altcat_1(X79))
| m1_altcat_2(X80,X79)
| ~ l2_altcat_1(X80)
| ~ l2_altcat_1(X79) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d11_altcat_2])])])]) ).
fof(c_0_18,plain,
! [X109,X110] :
( ~ l2_altcat_1(X109)
| ~ m1_altcat_2(X110,X109)
| l2_altcat_1(X110) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_altcat_2])])]) ).
fof(c_0_19,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k9_waybel34(X1))
& v2_altcat_1(k9_waybel34(X1))
& v6_altcat_1(k9_waybel34(X1))
& v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
& m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k9_waybel34]) ).
fof(c_0_20,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& ( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) )
& ( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) )
& ( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
fof(c_0_21,plain,
! [X61] :
( v2_setfam_1(X61)
| ~ v1_xboole_0(X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_22,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& l2_altcat_1(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k5_waybel34]) ).
fof(c_0_23,plain,
! [X209,X210] :
( ( v1_orders_2(X210)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( v3_lattice3(X210)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( r2_hidden(u1_struct_0(X210),X209)
| ~ m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) )
& ( ~ v1_orders_2(X210)
| ~ v3_lattice3(X210)
| ~ r2_hidden(u1_struct_0(X210),X209)
| m1_subset_1(X210,u1_struct_0(k5_waybel34(X209)))
| ~ v2_orders_2(X210)
| ~ v3_orders_2(X210)
| ~ v4_orders_2(X210)
| ~ v1_lattice3(X210)
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210)
| v2_setfam_1(X209) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_24,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( l2_altcat_1(X2)
| ~ l2_altcat_1(X1)
| ~ m1_altcat_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_26,plain,
! [X105] :
( ( ~ v3_struct_0(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v2_altcat_1(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v6_altcat_1(k9_waybel34(X105))
| v2_setfam_1(X105) )
& ( v3_altcat_2(k9_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) )
& ( m1_altcat_2(k9_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_27,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_28,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_29,plain,
! [X100] :
( ( ~ v3_struct_0(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v2_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v6_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v11_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v12_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( v2_yellow21(k5_waybel34(X100))
| v1_xboole_0(X100) )
& ( l2_altcat_1(k5_waybel34(X100))
| v1_xboole_0(X100) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_30,plain,
! [X213,X214] :
( ~ m1_subset_1(X213,X214)
| v1_xboole_0(X214)
| r2_hidden(X213,X214) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t2_subset])]) ).
cnf(c_0_31,plain,
( m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| v2_setfam_1(X2)
| ~ v1_orders_2(X1)
| ~ v3_lattice3(X1)
| ~ r2_hidden(u1_struct_0(X1),X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( r2_hidden(u1_struct_0(esk2_0),esk1_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_35,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_36,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_38,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_39,negated_conjecture,
( v1_orders_2(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_40,negated_conjecture,
( v3_lattice3(esk2_0)
| m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_41,plain,
( r1_tarski(u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_altcat_2(X1,X2)
| ~ l2_altcat_1(X2) ),
inference(csr,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_42,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_43,negated_conjecture,
~ v1_xboole_0(esk1_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_44,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_45,plain,
! [X217,X218,X219] :
( ~ r2_hidden(X217,X218)
| ~ m1_subset_1(X218,k1_zfmisc_1(X219))
| m1_subset_1(X217,X219) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t4_subset])]) ).
cnf(c_0_46,plain,
( v1_xboole_0(X2)
| r2_hidden(X1,X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_47,negated_conjecture,
( m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_27]),c_0_39]),c_0_40]) ).
fof(c_0_48,plain,
! [X215,X216] :
( ( ~ m1_subset_1(X215,k1_zfmisc_1(X216))
| r1_tarski(X215,X216) )
& ( ~ r1_tarski(X215,X216)
| m1_subset_1(X215,k1_zfmisc_1(X216)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).
cnf(c_0_49,plain,
( r1_tarski(u1_struct_0(k9_waybel34(X1)),u1_struct_0(k5_waybel34(X1)))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
l2_altcat_1(k5_waybel34(esk1_0)),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_51,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_52,plain,
( m1_subset_1(X1,X3)
| ~ r2_hidden(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| r2_hidden(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
r1_tarski(u1_struct_0(k9_waybel34(esk1_0)),u1_struct_0(k5_waybel34(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_27]) ).
fof(c_0_56,plain,
! [X151] :
( v3_struct_0(X151)
| ~ l1_struct_0(X151)
| ~ v1_xboole_0(u1_struct_0(X151)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])]) ).
cnf(c_0_57,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| m1_subset_1(esk2_0,X1)
| ~ m1_subset_1(u1_struct_0(k9_waybel34(esk1_0)),k1_zfmisc_1(X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,negated_conjecture,
m1_subset_1(u1_struct_0(k9_waybel34(esk1_0)),k1_zfmisc_1(u1_struct_0(k5_waybel34(esk1_0)))),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_59,plain,
! [X106] :
( ~ l1_altcat_1(X106)
| l1_struct_0(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_altcat_1])]) ).
fof(c_0_60,plain,
! [X108] :
( ~ l2_altcat_1(X108)
| l1_altcat_1(X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l2_altcat_1])]) ).
fof(c_0_61,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_62,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( v1_xboole_0(u1_struct_0(k9_waybel34(esk1_0)))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_64,plain,
( l1_struct_0(X1)
| ~ l1_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_65,plain,
( l1_altcat_1(X1)
| ~ l2_altcat_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_66,plain,
( l2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_42]) ).
fof(c_0_67,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v6_altcat_1(X2)
& v3_altcat_2(X2,k5_waybel34(X1))
& m1_altcat_2(X2,k5_waybel34(X1)) )
=> ( X2 = k9_waybel34(X1)
<=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> m1_subset_1(X3,u1_struct_0(X2)) )
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(k5_waybel34(X1)))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k5_waybel34(X1)))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4 )
=> ( k1_altcat_1(k5_waybel34(X1),X3,X4) = k1_xboole_0
| ! [X7] :
( m1_subset_1(X7,k1_altcat_1(k5_waybel34(X1),X3,X4))
=> ( r2_hidden(X7,k1_altcat_1(X2,X5,X6))
<=> v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3),k5_yellow21(k5_waybel34(X1),X3,X4,X7)),k3_yellow21(k5_waybel34(X1),X4),k3_yellow21(k5_waybel34(X1),X3)) ) ) ) ) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0)))
| ~ l1_struct_0(k9_waybel34(esk1_0)) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,plain,
( l1_struct_0(X1)
| ~ l2_altcat_1(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,negated_conjecture,
l2_altcat_1(k9_waybel34(esk1_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_50]),c_0_27]) ).
fof(c_0_71,plain,
! [X228,X229,X230,X231,X232,X233,X234,X235] :
( ( ~ m1_subset_1(X230,u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(X230,u1_struct_0(X229))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(X235,k1_altcat_1(X229,X233,X234))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231),k5_yellow21(k5_waybel34(X228),X231,X232,X235)),k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231))
| ~ m1_subset_1(X235,k1_altcat_1(k5_waybel34(X228),X231,X232))
| k1_altcat_1(k5_waybel34(X228),X231,X232) = k1_xboole_0
| X233 != X231
| X234 != X232
| ~ m1_subset_1(X234,u1_struct_0(X229))
| ~ m1_subset_1(X233,u1_struct_0(X229))
| ~ m1_subset_1(X232,u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(X231,u1_struct_0(k5_waybel34(X228)))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231),k5_yellow21(k5_waybel34(X228),X231,X232,X235)),k3_yellow21(k5_waybel34(X228),X232),k3_yellow21(k5_waybel34(X228),X231))
| r2_hidden(X235,k1_altcat_1(X229,X233,X234))
| ~ m1_subset_1(X235,k1_altcat_1(k5_waybel34(X228),X231,X232))
| k1_altcat_1(k5_waybel34(X228),X231,X232) = k1_xboole_0
| X233 != X231
| X234 != X232
| ~ m1_subset_1(X234,u1_struct_0(X229))
| ~ m1_subset_1(X233,u1_struct_0(X229))
| ~ m1_subset_1(X232,u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(X231,u1_struct_0(k5_waybel34(X228)))
| X229 != k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk32_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk33_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk34_2(X228,X229),u1_struct_0(X229))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk35_2(X228,X229),u1_struct_0(X229))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk34_2(X228,X229) = esk32_2(X228,X229)
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk35_2(X228,X229) = esk33_2(X228,X229)
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)) != k1_xboole_0
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk36_2(X228,X229),k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| m1_subset_1(esk31_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk32_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk33_2(X228,X229),u1_struct_0(k5_waybel34(X228)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk34_2(X228,X229),u1_struct_0(X229))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk35_2(X228,X229),u1_struct_0(X229))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk34_2(X228,X229) = esk32_2(X228,X229)
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( esk35_2(X228,X229) = esk33_2(X228,X229)
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)) != k1_xboole_0
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( m1_subset_1(esk36_2(X228,X229),k1_altcat_1(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( ~ r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| ~ v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) )
& ( r2_hidden(esk36_2(X228,X229),k1_altcat_1(X229,esk34_2(X228,X229),esk35_2(X228,X229)))
| v22_waybel_0(k2_waybel34(k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)),k5_yellow21(k5_waybel34(X228),esk32_2(X228,X229),esk33_2(X228,X229),esk36_2(X228,X229))),k3_yellow21(k5_waybel34(X228),esk33_2(X228,X229)),k3_yellow21(k5_waybel34(X228),esk32_2(X228,X229)))
| ~ m1_subset_1(esk31_2(X228,X229),u1_struct_0(X229))
| X229 = k9_waybel34(X228)
| v3_struct_0(X229)
| ~ v2_altcat_1(X229)
| ~ v6_altcat_1(X229)
| ~ v3_altcat_2(X229,k5_waybel34(X228))
| ~ m1_altcat_2(X229,k5_waybel34(X228))
| ~ epred1_1(X228) ) ),
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_67])])])])]) ).
fof(c_0_72,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[d11_waybel34]),c_0_61]) ).
cnf(c_0_73,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_74,negated_conjecture,
( v3_struct_0(k9_waybel34(esk1_0))
| m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_75,plain,
( m1_subset_1(X1,u1_struct_0(X3))
| v3_struct_0(X3)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| X3 != k9_waybel34(X2)
| ~ v2_altcat_1(X3)
| ~ v6_altcat_1(X3)
| ~ v3_altcat_2(X3,k5_waybel34(X2))
| ~ m1_altcat_2(X3,k5_waybel34(X2))
| ~ epred1_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
fof(c_0_76,plain,
! [X81] :
( v2_setfam_1(X81)
| epred1_1(X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_72])]) ).
cnf(c_0_77,plain,
( v1_orders_2(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_78,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(k5_waybel34(esk1_0))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_27]) ).
cnf(c_0_79,plain,
( r2_hidden(u1_struct_0(X1),X2)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_80,plain,
( v3_lattice3(X1)
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_81,plain,
( v3_struct_0(k9_waybel34(X1))
| m1_subset_1(X2,u1_struct_0(k9_waybel34(X1)))
| ~ epred1_1(X1)
| ~ v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v6_altcat_1(k9_waybel34(X1))
| ~ m1_subset_1(X2,u1_struct_0(k5_waybel34(X1))) ),
inference(er,[status(thm)],[c_0_75]) ).
cnf(c_0_82,plain,
( v6_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_83,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_84,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_85,plain,
( v2_setfam_1(X1)
| epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,negated_conjecture,
( ~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0)))
| ~ v1_orders_2(esk2_0)
| ~ v3_lattice3(esk2_0)
| ~ r2_hidden(u1_struct_0(esk2_0),esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_87,negated_conjecture,
v1_orders_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_27]) ).
cnf(c_0_88,negated_conjecture,
r2_hidden(u1_struct_0(esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_78]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_27]) ).
cnf(c_0_89,negated_conjecture,
v3_lattice3(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_78]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38])]),c_0_27]) ).
cnf(c_0_90,plain,
( m1_subset_1(X1,u1_struct_0(k9_waybel34(X2)))
| v2_setfam_1(X2)
| ~ m1_subset_1(X1,u1_struct_0(k5_waybel34(X2))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]),c_0_42]),c_0_84]),c_0_85]),c_0_73]) ).
cnf(c_0_91,negated_conjecture,
~ m1_subset_1(esk2_0,u1_struct_0(k9_waybel34(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_87])]),c_0_88]),c_0_89])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_78]),c_0_91]),c_0_27]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT374+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 : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 05:33:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 2.63/2.72 % Version : CSE_E---1.5
% 2.63/2.72 % Problem : theBenchmark.p
% 2.63/2.72 % Proof found
% 2.63/2.72 % SZS status Theorem for theBenchmark.p
% 2.63/2.72 % SZS output start Proof
% See solution above
% 2.71/2.74 % Total time : 2.150000 s
% 2.71/2.74 % SZS output end Proof
% 2.71/2.74 % Total time : 2.157000 s
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