TSTP Solution File: LAT377+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 06:02:19 EDT 2023
% Result : Theorem 0.92s 1.02s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 127
% Syntax : Number of formulae : 213 ( 4 unt; 111 typ; 0 def)
% Number of atoms : 681 ( 7 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 789 ( 210 ~; 279 |; 252 &)
% ( 0 <=>; 48 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 176 ( 97 >; 79 *; 0 +; 0 <<)
% Number of predicates : 59 ( 57 usr; 1 prp; 0-6 aty)
% Number of functors : 54 ( 54 usr; 14 con; 0-5 aty)
% Number of variables : 128 ( 0 sgn; 65 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_setfam_1: $i > $o ).
tff(decl_23,type,
k5_waybel34: $i > $i ).
tff(decl_24,type,
k4_waybel34: $i > $i ).
tff(decl_25,type,
k7_waybel34: $i > $i ).
tff(decl_26,type,
k11_waybel34: $i > $i ).
tff(decl_27,type,
k10_waybel34: $i > $i ).
tff(decl_28,type,
r3_yellow20: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
l2_altcat_1: $i > $o ).
tff(decl_30,type,
v6_altcat_1: $i > $o ).
tff(decl_31,type,
u1_struct_0: $i > $i ).
tff(decl_32,type,
u1_altcat_1: $i > $i ).
tff(decl_33,type,
u2_altcat_1: $i > $i ).
tff(decl_34,type,
g2_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
l1_altcat_1: $i > $o ).
tff(decl_36,type,
l2_functor0: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
v9_functor0: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
u1_functor0: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
u2_functor0: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
g2_functor0: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_42,type,
v1_membered: $i > $o ).
tff(decl_43,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v1_xcmplx_0: $i > $o ).
tff(decl_45,type,
v2_membered: $i > $o ).
tff(decl_46,type,
v1_xreal_0: $i > $o ).
tff(decl_47,type,
v3_struct_0: $i > $o ).
tff(decl_48,type,
v2_altcat_1: $i > $o ).
tff(decl_49,type,
v11_altcat_1: $i > $o ).
tff(decl_50,type,
v12_altcat_1: $i > $o ).
tff(decl_51,type,
v3_yellow21: $i > $o ).
tff(decl_52,type,
m1_altcat_2: ( $i * $i ) > $o ).
tff(decl_53,type,
v3_altcat_2: ( $i * $i ) > $o ).
tff(decl_54,type,
v9_altcat_1: $i > $o ).
tff(decl_55,type,
v1_altcat_2: $i > $o ).
tff(decl_56,type,
v2_yellow18: $i > $o ).
tff(decl_57,type,
v3_yellow18: $i > $o ).
tff(decl_58,type,
v4_yellow18: $i > $o ).
tff(decl_59,type,
v1_yellow21: $i > $o ).
tff(decl_60,type,
v2_yellow21: $i > $o ).
tff(decl_61,type,
v3_membered: $i > $o ).
tff(decl_62,type,
v1_rat_1: $i > $o ).
tff(decl_63,type,
v4_membered: $i > $o ).
tff(decl_64,type,
v1_int_1: $i > $o ).
tff(decl_65,type,
v5_membered: $i > $o ).
tff(decl_66,type,
v4_ordinal2: $i > $o ).
tff(decl_67,type,
v1_xboole_0: $i > $o ).
tff(decl_68,type,
k1_zfmisc_1: $i > $i ).
tff(decl_69,type,
v1_finset_1: $i > $o ).
tff(decl_70,type,
v1_funct_1: $i > $o ).
tff(decl_71,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
m1_pboole: ( $i * $i ) > $o ).
tff(decl_74,type,
m1_functor0: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_75,type,
v1_funcop_1: $i > $o ).
tff(decl_76,type,
m2_functor0: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
v8_functor0: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
v12_functor0: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_80,type,
v1_relat_1: $i > $o ).
tff(decl_81,type,
v2_funct_1: $i > $o ).
tff(decl_82,type,
l1_struct_0: $i > $o ).
tff(decl_83,type,
l1_functor0: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
v11_functor0: ( $i * $i * $i ) > $o ).
tff(decl_85,type,
v6_functor0: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
v16_functor0: ( $i * $i * $i ) > $o ).
tff(decl_87,type,
v14_functor0: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
k3_zfmisc_1: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
k3_altcat_1: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
k2_altcat_1: ( $i * $i ) > $i ).
tff(decl_91,type,
m3_pboole: ( $i * $i * $i * $i ) > $o ).
tff(decl_92,type,
k8_waybel34: $i > $i ).
tff(decl_93,type,
v2_altcat_2: ( $i * $i ) > $o ).
tff(decl_94,type,
k9_waybel34: $i > $i ).
tff(decl_95,type,
k15_functor0: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
k6_waybel34: $i > $i ).
tff(decl_97,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_98,type,
k1_xboole_0: $i ).
tff(decl_99,type,
v21_functor0: ( $i * $i * $i ) > $o ).
tff(decl_100,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_101,type,
esk1_0: $i ).
tff(decl_102,type,
esk2_0: $i ).
tff(decl_103,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk4_0: $i ).
tff(decl_105,type,
esk5_0: $i ).
tff(decl_106,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk7_1: $i > $i ).
tff(decl_108,type,
esk8_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_109,type,
esk9_1: $i > $i ).
tff(decl_110,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk11_1: $i > $i ).
tff(decl_112,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_114,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
esk15_1: $i > $i ).
tff(decl_116,type,
esk16_0: $i ).
tff(decl_117,type,
esk17_0: $i ).
tff(decl_118,type,
esk18_0: $i ).
tff(decl_119,type,
esk19_0: $i ).
tff(decl_120,type,
esk20_0: $i ).
tff(decl_121,type,
esk21_0: $i ).
tff(decl_122,type,
esk22_1: $i > $i ).
tff(decl_123,type,
esk23_0: $i ).
tff(decl_124,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk25_1: $i > $i ).
tff(decl_126,type,
esk26_0: $i ).
tff(decl_127,type,
esk27_1: $i > $i ).
tff(decl_128,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_129,type,
esk29_1: $i > $i ).
tff(decl_130,type,
esk30_0: $i ).
tff(decl_131,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_132,type,
esk32_2: ( $i * $i ) > $i ).
fof(t36_altcat_4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X1)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X2)
& m1_altcat_2(X3,X2) )
=> ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X1)
& m1_altcat_2(X3,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_altcat_4) ).
fof(dt_k8_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(dt_k4_waybel34,axiom,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
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/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(fc6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(t52_yellow20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_yellow20) ).
fof(t18_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(fc5_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(dt_k6_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(fc7_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(dt_k10_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k10_waybel34) ).
fof(cc2_setfam_1,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(dt_k11_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k11_waybel34) ).
fof(t58_waybel34,axiom,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_waybel34) ).
fof(t59_waybel34,conjecture,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_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/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v3_altcat_2(X2,X1)
& m1_altcat_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X2)
& m1_altcat_2(X3,X2) )
=> ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X1)
& m1_altcat_2(X3,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_altcat_4]) ).
fof(c_0_17,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k8_waybel34(X1))
& v2_altcat_1(k8_waybel34(X1))
& v6_altcat_1(k8_waybel34(X1))
& v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
& m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k8_waybel34]) ).
fof(c_0_18,plain,
! [X1] :
( ~ v1_xboole_0(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& l2_altcat_1(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k4_waybel34]) ).
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,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k5_waybel34(X1))
& v2_altcat_1(k5_waybel34(X1))
& v6_altcat_1(k5_waybel34(X1))
& v9_altcat_1(k5_waybel34(X1))
& v11_altcat_1(k5_waybel34(X1))
& v12_altcat_1(k5_waybel34(X1))
& v1_altcat_2(k5_waybel34(X1))
& v2_yellow18(k5_waybel34(X1))
& v3_yellow18(k5_waybel34(X1))
& v4_yellow18(k5_waybel34(X1))
& v1_yellow21(k5_waybel34(X1))
& v2_yellow21(k5_waybel34(X1))
& v3_yellow21(k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_waybel34]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_altcat_1(X2)
& v11_altcat_1(X2)
& v12_altcat_1(X2)
& l2_altcat_1(X2) )
=> ! [X3] :
( ( v16_functor0(X3,X1,X2)
& m2_functor0(X3,X1,X2) )
=> ( v21_functor0(X3,X1,X2)
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ! [X5] :
( ( ~ v3_struct_0(X5)
& v2_altcat_1(X5)
& v3_altcat_2(X5,X2)
& m1_altcat_2(X5,X2) )
=> ( r3_yellow20(X1,X2,X3,X4,X5)
=> r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t52_yellow20]) ).
fof(c_0_22,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
& k15_functor0(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1)) = k6_waybel34(X1) ) ),
inference(fof_simplification,[status(thm)],[t18_waybel34]) ).
fof(c_0_23,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k4_waybel34(X1))
& v2_altcat_1(k4_waybel34(X1))
& v6_altcat_1(k4_waybel34(X1))
& v9_altcat_1(k4_waybel34(X1))
& v11_altcat_1(k4_waybel34(X1))
& v12_altcat_1(k4_waybel34(X1))
& v1_altcat_2(k4_waybel34(X1))
& v2_yellow18(k4_waybel34(X1))
& v3_yellow18(k4_waybel34(X1))
& v4_yellow18(k4_waybel34(X1))
& v1_yellow21(k4_waybel34(X1))
& v2_yellow21(k4_waybel34(X1))
& v3_yellow21(k4_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_waybel34]) ).
fof(c_0_24,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k6_waybel34]) ).
fof(c_0_25,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( v6_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v8_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v9_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v11_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v12_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v14_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
& v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc7_waybel34]) ).
fof(c_0_26,plain,
! [X244,X245,X246] :
( ( ~ v3_struct_0(X246)
| v3_struct_0(X246)
| ~ v2_altcat_1(X246)
| ~ v3_altcat_2(X246,X245)
| ~ m1_altcat_2(X246,X245)
| v3_struct_0(X245)
| ~ v2_altcat_1(X245)
| ~ v3_altcat_2(X245,X244)
| ~ m1_altcat_2(X245,X244)
| v3_struct_0(X244)
| ~ v2_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ l2_altcat_1(X244) )
& ( v2_altcat_1(X246)
| v3_struct_0(X246)
| ~ v2_altcat_1(X246)
| ~ v3_altcat_2(X246,X245)
| ~ m1_altcat_2(X246,X245)
| v3_struct_0(X245)
| ~ v2_altcat_1(X245)
| ~ v3_altcat_2(X245,X244)
| ~ m1_altcat_2(X245,X244)
| v3_struct_0(X244)
| ~ v2_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ l2_altcat_1(X244) )
& ( v3_altcat_2(X246,X244)
| v3_struct_0(X246)
| ~ v2_altcat_1(X246)
| ~ v3_altcat_2(X246,X245)
| ~ m1_altcat_2(X246,X245)
| v3_struct_0(X245)
| ~ v2_altcat_1(X245)
| ~ v3_altcat_2(X245,X244)
| ~ m1_altcat_2(X245,X244)
| v3_struct_0(X244)
| ~ v2_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ l2_altcat_1(X244) )
& ( m1_altcat_2(X246,X244)
| v3_struct_0(X246)
| ~ v2_altcat_1(X246)
| ~ v3_altcat_2(X246,X245)
| ~ m1_altcat_2(X246,X245)
| v3_struct_0(X245)
| ~ v2_altcat_1(X245)
| ~ v3_altcat_2(X245,X244)
| ~ m1_altcat_2(X245,X244)
| v3_struct_0(X244)
| ~ v2_altcat_1(X244)
| ~ v11_altcat_1(X244)
| ~ v12_altcat_1(X244)
| ~ l2_altcat_1(X244) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_27,plain,
! [X107] :
( ( ~ v3_struct_0(k8_waybel34(X107))
| v1_xboole_0(X107) )
& ( v2_altcat_1(k8_waybel34(X107))
| v1_xboole_0(X107) )
& ( v6_altcat_1(k8_waybel34(X107))
| v1_xboole_0(X107) )
& ( v3_altcat_2(k8_waybel34(X107),k4_waybel34(X107))
| v1_xboole_0(X107) )
& ( m1_altcat_2(k8_waybel34(X107),k4_waybel34(X107))
| v1_xboole_0(X107) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_28,plain,
! [X103] :
( ( ~ v3_struct_0(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( v2_altcat_1(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( v6_altcat_1(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( v11_altcat_1(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( v12_altcat_1(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( v2_yellow21(k4_waybel34(X103))
| v1_xboole_0(X103) )
& ( l2_altcat_1(k4_waybel34(X103))
| v1_xboole_0(X103) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
fof(c_0_29,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k10_waybel34(X1))
& v2_altcat_1(k10_waybel34(X1))
& v6_altcat_1(k10_waybel34(X1))
& v2_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
& m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k10_waybel34]) ).
fof(c_0_30,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ~ v1_xboole_0(X1) ),
inference(fof_simplification,[status(thm)],[cc2_setfam_1]) ).
fof(c_0_31,plain,
! [X108] :
( ( ~ v3_struct_0(k9_waybel34(X108))
| v2_setfam_1(X108) )
& ( v2_altcat_1(k9_waybel34(X108))
| v2_setfam_1(X108) )
& ( v6_altcat_1(k9_waybel34(X108))
| v2_setfam_1(X108) )
& ( v3_altcat_2(k9_waybel34(X108),k5_waybel34(X108))
| v2_setfam_1(X108) )
& ( m1_altcat_2(k9_waybel34(X108),k5_waybel34(X108))
| v2_setfam_1(X108) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_32,plain,
! [X184] :
( ( ~ v3_struct_0(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v2_altcat_1(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v6_altcat_1(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v9_altcat_1(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v11_altcat_1(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v12_altcat_1(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v1_altcat_2(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v2_yellow18(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v3_yellow18(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v4_yellow18(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v1_yellow21(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v2_yellow21(k5_waybel34(X184))
| v2_setfam_1(X184) )
& ( v3_yellow21(k5_waybel34(X184))
| v2_setfam_1(X184) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_33,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> ( ~ v3_struct_0(k11_waybel34(X1))
& v2_altcat_1(k11_waybel34(X1))
& v6_altcat_1(k11_waybel34(X1))
& v2_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
& m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1)) ) ),
inference(fof_simplification,[status(thm)],[dt_k11_waybel34]) ).
fof(c_0_34,plain,
! [X252,X253,X254,X255,X256] :
( v3_struct_0(X252)
| ~ v2_altcat_1(X252)
| ~ v11_altcat_1(X252)
| ~ v12_altcat_1(X252)
| ~ l2_altcat_1(X252)
| v3_struct_0(X253)
| ~ v2_altcat_1(X253)
| ~ v11_altcat_1(X253)
| ~ v12_altcat_1(X253)
| ~ l2_altcat_1(X253)
| ~ v16_functor0(X254,X252,X253)
| ~ m2_functor0(X254,X252,X253)
| ~ v21_functor0(X254,X252,X253)
| v3_struct_0(X255)
| ~ v2_altcat_1(X255)
| ~ v3_altcat_2(X255,X252)
| ~ m1_altcat_2(X255,X252)
| v3_struct_0(X256)
| ~ v2_altcat_1(X256)
| ~ v3_altcat_2(X256,X253)
| ~ m1_altcat_2(X256,X253)
| ~ r3_yellow20(X252,X253,X254,X255,X256)
| r3_yellow20(X253,X252,k15_functor0(X252,X253,X254),X256,X255) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_35,plain,
! [X239] :
( ( k15_functor0(k4_waybel34(X239),k5_waybel34(X239),k6_waybel34(X239)) = k7_waybel34(X239)
| v2_setfam_1(X239) )
& ( k15_functor0(k5_waybel34(X239),k4_waybel34(X239),k7_waybel34(X239)) = k6_waybel34(X239)
| v2_setfam_1(X239) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_36,plain,
! [X183] :
( ( ~ v3_struct_0(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v2_altcat_1(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v6_altcat_1(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v9_altcat_1(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v11_altcat_1(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v12_altcat_1(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v1_altcat_2(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v2_yellow18(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v3_yellow18(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v4_yellow18(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v1_yellow21(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v2_yellow21(k4_waybel34(X183))
| v2_setfam_1(X183) )
& ( v3_yellow21(k4_waybel34(X183))
| v2_setfam_1(X183) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
fof(c_0_37,plain,
! [X105] :
( ( v9_functor0(k6_waybel34(X105),k4_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) )
& ( v16_functor0(k6_waybel34(X105),k4_waybel34(X105),k5_waybel34(X105))
| v2_setfam_1(X105) )
& ( m2_functor0(k6_waybel34(X105),k4_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_24])])]) ).
fof(c_0_38,plain,
! [X188] :
( ( v6_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v8_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v9_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v11_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v12_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v14_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v16_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) )
& ( v21_functor0(k6_waybel34(X188),k4_waybel34(X188),k5_waybel34(X188))
| v2_setfam_1(X188) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_39,plain,
! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[t58_waybel34]) ).
cnf(c_0_40,plain,
( m1_altcat_2(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X3)
| ~ m1_altcat_2(X1,X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X2)
| ~ m1_altcat_2(X3,X2)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,plain,
( v3_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_42,plain,
( l2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
( v2_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_44,plain,
( v2_altcat_1(k8_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_45,plain,
( v11_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_46,plain,
( v12_altcat_1(k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_47,plain,
( m1_altcat_2(k8_waybel34(X1),k4_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_48,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k8_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_49,plain,
( v1_xboole_0(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_50,plain,
! [X93] :
( ( ~ v3_struct_0(k10_waybel34(X93))
| v2_setfam_1(X93) )
& ( v2_altcat_1(k10_waybel34(X93))
| v2_setfam_1(X93) )
& ( v6_altcat_1(k10_waybel34(X93))
| v2_setfam_1(X93) )
& ( v2_altcat_2(k10_waybel34(X93),k8_waybel34(X93))
| v2_setfam_1(X93) )
& ( v3_altcat_2(k10_waybel34(X93),k8_waybel34(X93))
| v2_setfam_1(X93) )
& ( m1_altcat_2(k10_waybel34(X93),k8_waybel34(X93))
| v2_setfam_1(X93) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_51,plain,
! [X60] :
( v2_setfam_1(X60)
| ~ v1_xboole_0(X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).
cnf(c_0_52,plain,
( v3_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_53,plain,
( v2_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_54,plain,
( v2_altcat_1(k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_55,plain,
( v11_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_56,plain,
( v12_altcat_1(k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_57,plain,
( m1_altcat_2(k9_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_58,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k9_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k5_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_60,plain,
! [X94] :
( ( ~ v3_struct_0(k11_waybel34(X94))
| v2_setfam_1(X94) )
& ( v2_altcat_1(k11_waybel34(X94))
| v2_setfam_1(X94) )
& ( v6_altcat_1(k11_waybel34(X94))
| v2_setfam_1(X94) )
& ( v2_altcat_2(k11_waybel34(X94),k9_waybel34(X94))
| v2_setfam_1(X94) )
& ( v3_altcat_2(k11_waybel34(X94),k9_waybel34(X94))
| v2_setfam_1(X94) )
& ( m1_altcat_2(k11_waybel34(X94),k9_waybel34(X94))
| v2_setfam_1(X94) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_61,plain,
( v3_altcat_2(X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X3)
| ~ m1_altcat_2(X1,X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X2)
| ~ m1_altcat_2(X3,X2)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_62,negated_conjecture,
~ ! [X1] :
( ~ v2_setfam_1(X1)
=> r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1)) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t59_waybel34])]) ).
cnf(c_0_63,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X4)
| v3_struct_0(X5)
| r3_yellow20(X2,X1,k15_functor0(X1,X2,X3),X5,X4)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ v11_altcat_1(X2)
| ~ v12_altcat_1(X2)
| ~ l2_altcat_1(X2)
| ~ v16_functor0(X3,X1,X2)
| ~ m2_functor0(X3,X1,X2)
| ~ v21_functor0(X3,X1,X2)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| ~ v2_altcat_1(X5)
| ~ v3_altcat_2(X5,X2)
| ~ m1_altcat_2(X5,X2)
| ~ r3_yellow20(X1,X2,X3,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_64,plain,
( k15_functor0(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1)) = k7_waybel34(X1)
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
( v2_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_66,plain,
( v11_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_67,plain,
( v12_altcat_1(k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_68,plain,
( m2_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_69,plain,
( v16_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_70,plain,
( v21_functor0(k6_waybel34(X1),k4_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_71,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k4_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_72,plain,
! [X257] :
( v2_setfam_1(X257)
| r3_yellow20(k4_waybel34(X257),k5_waybel34(X257),k6_waybel34(X257),k10_waybel34(X257),k11_waybel34(X257)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).
cnf(c_0_73,plain,
( v1_xboole_0(X1)
| m1_altcat_2(X2,k4_waybel34(X1))
| v3_struct_0(X2)
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_74,plain,
( v3_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_75,plain,
( v2_altcat_1(k10_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_76,plain,
( m1_altcat_2(k10_waybel34(X1),k8_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_77,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k10_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_78,plain,
( v2_setfam_1(X1)
| ~ v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_79,plain,
( m1_altcat_2(X1,k5_waybel34(X2))
| v3_struct_0(X1)
| v2_setfam_1(X2)
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_40,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
cnf(c_0_80,plain,
( v3_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( v2_altcat_1(k11_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_82,plain,
( m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v2_setfam_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_83,plain,
( v2_setfam_1(X1)
| ~ v3_struct_0(k11_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_84,plain,
( v1_xboole_0(X1)
| v3_altcat_2(X2,k4_waybel34(X1))
| v3_struct_0(X2)
| ~ v3_altcat_2(X2,k8_waybel34(X1))
| ~ m1_altcat_2(X2,k8_waybel34(X1))
| ~ v2_altcat_1(X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_61,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]) ).
cnf(c_0_85,plain,
( v3_altcat_2(X1,k5_waybel34(X2))
| v3_struct_0(X1)
| v2_setfam_1(X2)
| ~ v3_altcat_2(X1,k9_waybel34(X2))
| ~ m1_altcat_2(X1,k9_waybel34(X2))
| ~ v2_altcat_1(X1)
| ~ l2_altcat_1(k5_waybel34(X2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_61,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]) ).
fof(c_0_86,negated_conjecture,
( ~ v2_setfam_1(esk1_0)
& ~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k11_waybel34(esk1_0),k10_waybel34(esk1_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])]) ).
cnf(c_0_87,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| r3_yellow20(k5_waybel34(X3),k4_waybel34(X3),k7_waybel34(X3),X1,X2)
| v2_setfam_1(X3)
| ~ v3_altcat_2(X1,k5_waybel34(X3))
| ~ v3_altcat_2(X2,k4_waybel34(X3))
| ~ m1_altcat_2(X1,k5_waybel34(X3))
| ~ m1_altcat_2(X2,k4_waybel34(X3))
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X2)
| ~ l2_altcat_1(k5_waybel34(X3))
| ~ l2_altcat_1(k4_waybel34(X3))
| ~ r3_yellow20(k4_waybel34(X3),k5_waybel34(X3),k6_waybel34(X3),X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_63,c_0_64]),c_0_65]),c_0_53]),c_0_66]),c_0_55]),c_0_67]),c_0_56]),c_0_68]),c_0_69]),c_0_70]),c_0_59]),c_0_71]) ).
cnf(c_0_88,plain,
( v2_setfam_1(X1)
| r3_yellow20(k4_waybel34(X1),k5_waybel34(X1),k6_waybel34(X1),k10_waybel34(X1),k11_waybel34(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,plain,
( m1_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_90,plain,
( m1_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
cnf(c_0_91,plain,
( v3_altcat_2(k10_waybel34(X1),k4_waybel34(X1))
| v2_setfam_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_74]),c_0_75]),c_0_76]),c_0_77]),c_0_78]) ).
cnf(c_0_92,plain,
( v3_altcat_2(k11_waybel34(X1),k5_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_80]),c_0_81]),c_0_82]),c_0_83]) ).
fof(c_0_93,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]) ).
cnf(c_0_94,negated_conjecture,
~ r3_yellow20(k5_waybel34(esk1_0),k4_waybel34(esk1_0),k7_waybel34(esk1_0),k11_waybel34(esk1_0),k10_waybel34(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_95,plain,
( r3_yellow20(k5_waybel34(X1),k4_waybel34(X1),k7_waybel34(X1),k11_waybel34(X1),k10_waybel34(X1))
| v2_setfam_1(X1)
| ~ l2_altcat_1(k5_waybel34(X1))
| ~ l2_altcat_1(k4_waybel34(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[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_87,c_0_88]),c_0_75]),c_0_81]),c_0_89]),c_0_90]),c_0_91]),c_0_92]),c_0_77]),c_0_83]) ).
cnf(c_0_96,negated_conjecture,
~ v2_setfam_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
fof(c_0_97,plain,
! [X104] :
( ( ~ v3_struct_0(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( v2_altcat_1(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( v6_altcat_1(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( v11_altcat_1(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( v12_altcat_1(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( v2_yellow21(k5_waybel34(X104))
| v1_xboole_0(X104) )
& ( l2_altcat_1(k5_waybel34(X104))
| v1_xboole_0(X104) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_93])])]) ).
cnf(c_0_98,negated_conjecture,
( ~ l2_altcat_1(k5_waybel34(esk1_0))
| ~ l2_altcat_1(k4_waybel34(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_99,plain,
( l2_altcat_1(k5_waybel34(X1))
| v1_xboole_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_100,negated_conjecture,
v1_xboole_0(esk1_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_42]),c_0_99]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_100]),c_0_96]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 09:49:55 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.92/1.02 % Version : CSE_E---1.5
% 0.92/1.02 % Problem : theBenchmark.p
% 0.92/1.02 % Proof found
% 0.92/1.02 % SZS status Theorem for theBenchmark.p
% 0.92/1.02 % SZS output start Proof
% See solution above
% 0.92/1.03 % Total time : 0.451000 s
% 0.92/1.03 % SZS output end Proof
% 0.92/1.03 % Total time : 0.459000 s
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