TSTP Solution File: LAT366+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT366+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 : n032.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 06:02:08 EDT 2023
% Result : Theorem 5.29s 5.40s
% Output : CNFRefutation 5.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 139
% Syntax : Number of formulae : 262 ( 51 unt; 118 typ; 0 def)
% Number of atoms : 1335 ( 34 equ)
% Maximal formula atoms : 168 ( 9 avg)
% Number of connectives : 1934 ( 743 ~; 763 |; 316 &)
% ( 6 <=>; 106 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 174 ( 99 >; 75 *; 0 +; 0 <<)
% Number of predicates : 64 ( 62 usr; 1 prp; 0-3 aty)
% Number of functors : 56 ( 56 usr; 19 con; 0-4 aty)
% Number of variables : 248 ( 0 sgn; 161 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
v2_orders_2: $i > $o ).
tff(decl_23,type,
v3_orders_2: $i > $o ).
tff(decl_24,type,
v4_orders_2: $i > $o ).
tff(decl_25,type,
v1_lattice3: $i > $o ).
tff(decl_26,type,
v2_lattice3: $i > $o ).
tff(decl_27,type,
v3_lattice3: $i > $o ).
tff(decl_28,type,
l1_orders_2: $i > $o ).
tff(decl_29,type,
v1_funct_1: $i > $o ).
tff(decl_30,type,
u1_struct_0: $i > $i ).
tff(decl_31,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
v8_waybel_1: ( $i * $i ) > $o ).
tff(decl_33,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_36,type,
k2_yellow_2: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
r1_waybel_3: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
v1_orders_2: $i > $o ).
tff(decl_39,type,
u1_orders_2: $i > $i ).
tff(decl_40,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_41,type,
r2_hidden: ( $i * $i ) > $o ).
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,
m1_yellow_0: ( $i * $i ) > $o ).
tff(decl_48,type,
v8_yellow_0: ( $i * $i ) > $o ).
tff(decl_49,type,
v6_yellow_0: ( $i * $i ) > $o ).
tff(decl_50,type,
v2_membered: $i > $o ).
tff(decl_51,type,
v1_xreal_0: $i > $o ).
tff(decl_52,type,
v1_yellow_0: $i > $o ).
tff(decl_53,type,
v4_yellow_0: ( $i * $i ) > $o ).
tff(decl_54,type,
v5_yellow_0: ( $i * $i ) > $o ).
tff(decl_55,type,
v3_membered: $i > $o ).
tff(decl_56,type,
v1_rat_1: $i > $o ).
tff(decl_57,type,
v2_yellow_0: $i > $o ).
tff(decl_58,type,
v3_yellow_0: $i > $o ).
tff(decl_59,type,
v4_membered: $i > $o ).
tff(decl_60,type,
v1_int_1: $i > $o ).
tff(decl_61,type,
v5_membered: $i > $o ).
tff(decl_62,type,
v4_ordinal2: $i > $o ).
tff(decl_63,type,
v1_xboole_0: $i > $o ).
tff(decl_64,type,
k1_zfmisc_1: $i > $i ).
tff(decl_65,type,
v1_finset_1: $i > $o ).
tff(decl_66,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_67,type,
v1_relat_1: $i > $o ).
tff(decl_68,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
v6_waybel_1: ( $i * $i ) > $o ).
tff(decl_70,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v11_quantal1: $i > $o ).
tff(decl_72,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
v7_yellow_0: ( $i * $i ) > $o ).
tff(decl_75,type,
v3_waybel_0: ( $i * $i ) > $o ).
tff(decl_76,type,
v4_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_77,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
v2_funct_1: $i > $o ).
tff(decl_80,type,
v4_waybel_0: ( $i * $i ) > $o ).
tff(decl_81,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_82,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_83,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_84,type,
v7_waybel_1: ( $i * $i ) > $o ).
tff(decl_85,type,
v23_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
k2_waybel_1: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
k8_relat_1: ( $i * $i ) > $i ).
tff(decl_88,type,
k3_waybel_1: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
k7_grcat_1: $i > $i ).
tff(decl_90,type,
v1_waybel34: ( $i * $i * $i ) > $o ).
tff(decl_91,type,
k7_yellow_2: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
l1_struct_0: $i > $o ).
tff(decl_95,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_96,type,
k1_xboole_0: $i ).
tff(decl_97,type,
k1_funct_1: ( $i * $i ) > $i ).
tff(decl_98,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_99,type,
esk1_0: $i ).
tff(decl_100,type,
esk2_0: $i ).
tff(decl_101,type,
esk3_0: $i ).
tff(decl_102,type,
esk4_0: $i ).
tff(decl_103,type,
esk5_0: $i ).
tff(decl_104,type,
esk6_0: $i ).
tff(decl_105,type,
esk7_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk8_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk9_0: $i ).
tff(decl_108,type,
esk10_0: $i ).
tff(decl_109,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk12_1: $i > $i ).
tff(decl_111,type,
esk13_1: $i > $i ).
tff(decl_112,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk15_0: $i ).
tff(decl_114,type,
esk16_0: $i ).
tff(decl_115,type,
esk17_0: $i ).
tff(decl_116,type,
esk18_0: $i ).
tff(decl_117,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_118,type,
esk20_0: $i ).
tff(decl_119,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk22_1: $i > $i ).
tff(decl_121,type,
esk23_1: $i > $i ).
tff(decl_122,type,
esk24_0: $i ).
tff(decl_123,type,
esk25_0: $i ).
tff(decl_124,type,
esk26_1: $i > $i ).
tff(decl_125,type,
esk27_1: $i > $i ).
tff(decl_126,type,
esk28_1: $i > $i ).
tff(decl_127,type,
esk29_0: $i ).
tff(decl_128,type,
esk30_1: $i > $i ).
tff(decl_129,type,
esk31_0: $i ).
tff(decl_130,type,
esk32_0: $i ).
tff(decl_131,type,
esk33_1: $i > $i ).
tff(decl_132,type,
esk34_1: $i > $i ).
tff(decl_133,type,
esk35_1: $i > $i ).
tff(decl_134,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_135,type,
esk37_1: $i > $i ).
tff(decl_136,type,
esk38_1: $i > $i ).
tff(decl_137,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_138,type,
esk40_1: $i > $i ).
tff(decl_139,type,
esk41_1: $i > $i ).
fof(t37_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v22_waybel_0(X2,X1,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ( ( X5 = X3
& X6 = X4 )
=> ( r1_waybel_3(X1,X3,X4)
<=> r1_waybel_3(k2_yellow_2(X1,X1,X2),X5,X6) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_k2_yellow_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(cc4_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1) )
=> ( v1_funct_1(X2)
& ~ v1_xboole_0(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc4_waybel_1) ).
fof(d17_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_waybel_1) ).
fof(dt_k2_waybel_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k2_waybel_1(X1,X2,X3))
& v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_waybel_1) ).
fof(fc10_waybel34,axiom,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v3_lattice3(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(dt_k3_waybel_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k3_waybel_1(X1,X2,X3))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(t33_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v17_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
& v18_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& k1_waybel34(X1,k2_yellow_2(X1,X1,X2),k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& k2_waybel34(X1,k2_yellow_2(X1,X1,X2),k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_waybel34) ).
fof(t34_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v22_waybel_0(X2,X1,X1)
<=> v22_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_waybel34) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(cc8_yellow_0,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> ( v4_yellow_0(X2,X1)
=> ( v4_orders_2(X2)
& v4_yellow_0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc8_yellow_0) ).
fof(cc6_yellow_0,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> ( v4_yellow_0(X2,X1)
=> ( v2_orders_2(X2)
& v4_yellow_0(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc6_yellow_0) ).
fof(fc2_yellow_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X2,X3))
& v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_2) ).
fof(t34_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
=> k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t34_waybel_1) ).
fof(d8_waybel34,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_waybel34(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( r1_waybel_3(X1,X4,X5)
=> r1_waybel_3(X2,k7_yellow_2(u1_struct_0(X1),X2,X3,X4),k7_yellow_2(u1_struct_0(X1),X2,X3,X5)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_waybel34) ).
fof(t24_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v22_waybel_0(X3,X1,X2)
=> v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_waybel34) ).
fof(t36_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v4_yellow_0(X2,X1)
& v8_yellow_0(X2,X1)
& m1_yellow_0(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4
& r1_waybel_3(X1,X3,X4) )
=> r1_waybel_3(X2,X5,X6) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_waybel34) ).
fof(cc3_waybel10,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> ( v8_yellow_0(X2,X1)
=> ~ v3_struct_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel10) ).
fof(t56_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ( v7_waybel_1(X2,X1)
=> v7_yellow_0(k2_yellow_2(X1,X1,X2),X1) )
& ( v8_waybel_1(X2,X1)
=> v8_yellow_0(k2_yellow_2(X1,X1,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t56_waybel_1) ).
fof(c_0_21,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v22_waybel_0(X2,X1,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(k2_yellow_2(X1,X1,X2)))
=> ( ( X5 = X3
& X6 = X4 )
=> ( r1_waybel_3(X1,X3,X4)
<=> r1_waybel_3(k2_yellow_2(X1,X1,X2),X5,X6) ) ) ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t37_waybel34]) ).
fof(c_0_22,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_23,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_yellow_2]) ).
fof(c_0_24,plain,
! [X268,X269,X270] :
( ( ~ m2_relset_1(X270,X268,X269)
| m1_relset_1(X270,X268,X269) )
& ( ~ m1_relset_1(X270,X268,X269)
| m2_relset_1(X270,X268,X269) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_25,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v1_funct_1(esk2_0)
& v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v8_waybel_1(esk2_0,esk1_0)
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v22_waybel_0(esk2_0,esk1_0,esk1_0)
& m1_subset_1(esk3_0,u1_struct_0(esk1_0))
& m1_subset_1(esk4_0,u1_struct_0(esk1_0))
& m1_subset_1(esk5_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
& m1_subset_1(esk6_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
& esk5_0 = esk3_0
& esk6_0 = esk4_0
& ( ~ r1_waybel_3(esk1_0,esk3_0,esk4_0)
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0) )
& ( r1_waybel_3(esk1_0,esk3_0,esk4_0)
| r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_26,plain,
! [X48] :
( ~ l1_orders_2(X48)
| ~ v1_lattice3(X48)
| ~ v3_struct_0(X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v8_waybel_1(X2,X1) )
=> ( v1_funct_1(X2)
& ~ v1_xboole_0(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc4_waybel_1]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[d17_waybel_1]) ).
fof(c_0_29,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k2_waybel_1(X1,X2,X3))
& v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
& m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3))) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_waybel_1]) ).
fof(c_0_30,plain,
! [X135,X136,X137] :
( ( v1_orders_2(k2_yellow_2(X135,X136,X137))
| v3_struct_0(X135)
| ~ l1_orders_2(X135)
| v3_struct_0(X136)
| ~ l1_orders_2(X136)
| ~ v1_funct_1(X137)
| ~ v1_funct_2(X137,u1_struct_0(X135),u1_struct_0(X136))
| ~ m1_relset_1(X137,u1_struct_0(X135),u1_struct_0(X136)) )
& ( v4_yellow_0(k2_yellow_2(X135,X136,X137),X136)
| v3_struct_0(X135)
| ~ l1_orders_2(X135)
| v3_struct_0(X136)
| ~ l1_orders_2(X136)
| ~ v1_funct_1(X137)
| ~ v1_funct_2(X137,u1_struct_0(X135),u1_struct_0(X136))
| ~ m1_relset_1(X137,u1_struct_0(X135),u1_struct_0(X136)) )
& ( m1_yellow_0(k2_yellow_2(X135,X136,X137),X136)
| v3_struct_0(X135)
| ~ l1_orders_2(X135)
| v3_struct_0(X136)
| ~ l1_orders_2(X136)
| ~ v1_funct_1(X137)
| ~ v1_funct_2(X137,u1_struct_0(X135),u1_struct_0(X136))
| ~ m1_relset_1(X137,u1_struct_0(X135),u1_struct_0(X136)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])]) ).
cnf(c_0_31,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v3_lattice3(k2_yellow_2(X1,X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel34]) ).
fof(c_0_37,plain,
! [X89,X90] :
( ( v1_funct_1(X90)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v8_waybel_1(X90,X89)
| ~ m1_relset_1(X90,u1_struct_0(X89),u1_struct_0(X89))
| v3_struct_0(X89)
| ~ l1_orders_2(X89) )
& ( ~ v1_xboole_0(X90)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v8_waybel_1(X90,X89)
| ~ m1_relset_1(X90,u1_struct_0(X89),u1_struct_0(X89))
| v3_struct_0(X89)
| ~ l1_orders_2(X89) )
& ( v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v8_waybel_1(X90,X89)
| ~ m1_relset_1(X90,u1_struct_0(X89),u1_struct_0(X89))
| v3_struct_0(X89)
| ~ l1_orders_2(X89) )
& ( v1_partfun1(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v8_waybel_1(X90,X89)
| ~ m1_relset_1(X90,u1_struct_0(X89),u1_struct_0(X89))
| v3_struct_0(X89)
| ~ l1_orders_2(X89) )
& ( v6_waybel_1(X90,X89)
| ~ v1_funct_1(X90)
| ~ v1_funct_2(X90,u1_struct_0(X89),u1_struct_0(X89))
| ~ v8_waybel_1(X90,X89)
| ~ m1_relset_1(X90,u1_struct_0(X89),u1_struct_0(X89))
| v3_struct_0(X89)
| ~ l1_orders_2(X89) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
fof(c_0_38,plain,
! [X114,X115,X116] :
( v3_struct_0(X114)
| ~ l1_orders_2(X114)
| v3_struct_0(X115)
| ~ l1_orders_2(X115)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,u1_struct_0(X114),u1_struct_0(X115))
| ~ m2_relset_1(X116,u1_struct_0(X114),u1_struct_0(X115))
| k3_waybel_1(X114,X115,X116) = k7_grcat_1(k2_yellow_2(X114,X115,X116)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_39,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k3_waybel_1(X1,X2,X3))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel_1]) ).
fof(c_0_40,plain,
! [X279,X280] :
( ( v17_waybel_0(k2_waybel_1(X279,X279,X280),X279,k2_yellow_2(X279,X279,X280))
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v8_waybel_1(X280,X279)
| ~ m2_relset_1(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v2_orders_2(X279)
| ~ v3_orders_2(X279)
| ~ v4_orders_2(X279)
| ~ v1_lattice3(X279)
| ~ v2_lattice3(X279)
| ~ v3_lattice3(X279)
| ~ l1_orders_2(X279) )
& ( v18_waybel_0(k3_waybel_1(X279,X279,X280),k2_yellow_2(X279,X279,X280),X279)
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v8_waybel_1(X280,X279)
| ~ m2_relset_1(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v2_orders_2(X279)
| ~ v3_orders_2(X279)
| ~ v4_orders_2(X279)
| ~ v1_lattice3(X279)
| ~ v2_lattice3(X279)
| ~ v3_lattice3(X279)
| ~ l1_orders_2(X279) )
& ( k1_waybel34(X279,k2_yellow_2(X279,X279,X280),k2_waybel_1(X279,X279,X280)) = k3_waybel_1(X279,X279,X280)
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v8_waybel_1(X280,X279)
| ~ m2_relset_1(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v2_orders_2(X279)
| ~ v3_orders_2(X279)
| ~ v4_orders_2(X279)
| ~ v1_lattice3(X279)
| ~ v2_lattice3(X279)
| ~ v3_lattice3(X279)
| ~ l1_orders_2(X279) )
& ( k2_waybel34(X279,k2_yellow_2(X279,X279,X280),k3_waybel_1(X279,X279,X280)) = k2_waybel_1(X279,X279,X280)
| ~ v1_funct_1(X280)
| ~ v1_funct_2(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v8_waybel_1(X280,X279)
| ~ m2_relset_1(X280,u1_struct_0(X279),u1_struct_0(X279))
| ~ v2_orders_2(X279)
| ~ v3_orders_2(X279)
| ~ v4_orders_2(X279)
| ~ v1_lattice3(X279)
| ~ v2_lattice3(X279)
| ~ v3_lattice3(X279)
| ~ l1_orders_2(X279) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t33_waybel34])])])]) ).
fof(c_0_41,plain,
! [X281,X282] :
( ( ~ v22_waybel_0(X282,X281,X281)
| v22_waybel_0(k2_waybel_1(X281,X281,X282),X281,k2_yellow_2(X281,X281,X282))
| ~ v1_funct_1(X282)
| ~ v1_funct_2(X282,u1_struct_0(X281),u1_struct_0(X281))
| ~ v8_waybel_1(X282,X281)
| ~ m2_relset_1(X282,u1_struct_0(X281),u1_struct_0(X281))
| ~ v2_orders_2(X281)
| ~ v3_orders_2(X281)
| ~ v4_orders_2(X281)
| ~ v1_lattice3(X281)
| ~ v2_lattice3(X281)
| ~ v3_lattice3(X281)
| ~ l1_orders_2(X281) )
& ( ~ v22_waybel_0(k2_waybel_1(X281,X281,X282),X281,k2_yellow_2(X281,X281,X282))
| v22_waybel_0(X282,X281,X281)
| ~ v1_funct_1(X282)
| ~ v1_funct_2(X282,u1_struct_0(X281),u1_struct_0(X281))
| ~ v8_waybel_1(X282,X281)
| ~ m2_relset_1(X282,u1_struct_0(X281),u1_struct_0(X281))
| ~ v2_orders_2(X281)
| ~ v3_orders_2(X281)
| ~ v4_orders_2(X281)
| ~ v1_lattice3(X281)
| ~ v2_lattice3(X281)
| ~ v3_lattice3(X281)
| ~ l1_orders_2(X281) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t34_waybel34])])])]) ).
fof(c_0_42,plain,
! [X132,X133,X134] :
( ( v1_funct_1(k2_waybel_1(X132,X133,X134))
| v3_struct_0(X132)
| ~ l1_orders_2(X132)
| v3_struct_0(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X132),u1_struct_0(X133))
| ~ m1_relset_1(X134,u1_struct_0(X132),u1_struct_0(X133)) )
& ( v1_funct_2(k2_waybel_1(X132,X133,X134),u1_struct_0(X132),u1_struct_0(k2_yellow_2(X132,X133,X134)))
| v3_struct_0(X132)
| ~ l1_orders_2(X132)
| v3_struct_0(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X132),u1_struct_0(X133))
| ~ m1_relset_1(X134,u1_struct_0(X132),u1_struct_0(X133)) )
& ( m2_relset_1(k2_waybel_1(X132,X133,X134),u1_struct_0(X132),u1_struct_0(k2_yellow_2(X132,X133,X134)))
| v3_struct_0(X132)
| ~ l1_orders_2(X132)
| v3_struct_0(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X132),u1_struct_0(X133))
| ~ m1_relset_1(X134,u1_struct_0(X132),u1_struct_0(X133)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])])]) ).
fof(c_0_43,plain,
! [X149,X150] :
( ~ l1_orders_2(X149)
| ~ m1_yellow_0(X150,X149)
| l1_orders_2(X150) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])]) ).
cnf(c_0_44,plain,
( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_45,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_47,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
fof(c_0_49,plain,
! [X169,X170] :
( ( ~ v3_struct_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v1_orders_2(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v2_orders_2(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v3_orders_2(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v4_orders_2(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v1_yellow_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v2_yellow_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v3_yellow_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v4_yellow_0(k2_yellow_2(X169,X169,X170),X169)
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v24_waybel_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v25_waybel_0(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v1_lattice3(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v2_lattice3(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) )
& ( v3_lattice3(k2_yellow_2(X169,X169,X170))
| ~ v2_orders_2(X169)
| ~ v3_orders_2(X169)
| ~ v4_orders_2(X169)
| ~ v1_lattice3(X169)
| ~ v2_lattice3(X169)
| ~ v3_lattice3(X169)
| ~ l1_orders_2(X169)
| ~ v1_funct_1(X170)
| ~ v1_funct_2(X170,u1_struct_0(X169),u1_struct_0(X169))
| ~ v6_waybel_1(X170,X169)
| ~ m1_relset_1(X170,u1_struct_0(X169),u1_struct_0(X169)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_50,plain,
( v6_waybel_1(X1,X2)
| v3_struct_0(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v8_waybel_1(X1,X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,negated_conjecture,
v8_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_52,plain,
! [X106,X107] :
( ( v4_orders_2(X107)
| ~ v4_yellow_0(X107,X106)
| ~ m1_yellow_0(X107,X106)
| ~ v4_orders_2(X106)
| ~ l1_orders_2(X106) )
& ( v4_yellow_0(X107,X106)
| ~ v4_yellow_0(X107,X106)
| ~ m1_yellow_0(X107,X106)
| ~ v4_orders_2(X106)
| ~ l1_orders_2(X106) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc8_yellow_0])])])]) ).
cnf(c_0_53,plain,
( v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_54,plain,
! [X96,X97] :
( ( v2_orders_2(X97)
| ~ v4_yellow_0(X97,X96)
| ~ m1_yellow_0(X97,X96)
| ~ v2_orders_2(X96)
| ~ l1_orders_2(X96) )
& ( v4_yellow_0(X97,X96)
| ~ v4_yellow_0(X97,X96)
| ~ m1_yellow_0(X97,X96)
| ~ v2_orders_2(X96)
| ~ l1_orders_2(X96) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc6_yellow_0])])])]) ).
cnf(c_0_55,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_56,plain,
! [X138,X139,X140] :
( ( v1_funct_1(k3_waybel_1(X138,X139,X140))
| v3_struct_0(X138)
| ~ l1_orders_2(X138)
| v3_struct_0(X139)
| ~ l1_orders_2(X139)
| ~ v1_funct_1(X140)
| ~ v1_funct_2(X140,u1_struct_0(X138),u1_struct_0(X139))
| ~ m1_relset_1(X140,u1_struct_0(X138),u1_struct_0(X139)) )
& ( v1_funct_2(k3_waybel_1(X138,X139,X140),u1_struct_0(k2_yellow_2(X138,X139,X140)),u1_struct_0(X139))
| v3_struct_0(X138)
| ~ l1_orders_2(X138)
| v3_struct_0(X139)
| ~ l1_orders_2(X139)
| ~ v1_funct_1(X140)
| ~ v1_funct_2(X140,u1_struct_0(X138),u1_struct_0(X139))
| ~ m1_relset_1(X140,u1_struct_0(X138),u1_struct_0(X139)) )
& ( m2_relset_1(k3_waybel_1(X138,X139,X140),u1_struct_0(k2_yellow_2(X138,X139,X140)),u1_struct_0(X139))
| v3_struct_0(X138)
| ~ l1_orders_2(X138)
| v3_struct_0(X139)
| ~ l1_orders_2(X139)
| ~ v1_funct_1(X140)
| ~ v1_funct_2(X140,u1_struct_0(X138),u1_struct_0(X139))
| ~ m1_relset_1(X140,u1_struct_0(X138),u1_struct_0(X139)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])]) ).
fof(c_0_57,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X2,X3))
& v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
inference(fof_simplification,[status(thm)],[fc2_yellow_2]) ).
fof(c_0_58,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3)))
=> k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4 ) ) ) ),
inference(fof_simplification,[status(thm)],[t34_waybel_1]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_waybel34(X3,X1,X2)
<=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X1))
=> ( r1_waybel_3(X1,X4,X5)
=> r1_waybel_3(X2,k7_yellow_2(u1_struct_0(X1),X2,X3,X4),k7_yellow_2(u1_struct_0(X1),X2,X3,X5)) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d8_waybel34]) ).
fof(c_0_60,plain,
! [X274,X275,X276] :
( ~ v2_orders_2(X274)
| ~ v3_orders_2(X274)
| ~ v4_orders_2(X274)
| ~ v1_lattice3(X274)
| ~ v2_lattice3(X274)
| ~ v3_lattice3(X274)
| ~ l1_orders_2(X274)
| ~ v2_orders_2(X275)
| ~ v3_orders_2(X275)
| ~ v4_orders_2(X275)
| ~ v1_lattice3(X275)
| ~ v2_lattice3(X275)
| ~ v3_lattice3(X275)
| ~ l1_orders_2(X275)
| ~ v1_funct_1(X276)
| ~ v1_funct_2(X276,u1_struct_0(X274),u1_struct_0(X275))
| ~ v17_waybel_0(X276,X274,X275)
| ~ m2_relset_1(X276,u1_struct_0(X274),u1_struct_0(X275))
| ~ v22_waybel_0(X276,X274,X275)
| v1_waybel34(k1_waybel34(X274,X275,X276),X275,X274) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t24_waybel34])])]) ).
cnf(c_0_61,plain,
( v17_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_62,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_63,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_64,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_65,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_66,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_67,plain,
( v22_waybel_0(k2_waybel_1(X2,X2,X1),X2,k2_yellow_2(X2,X2,X1))
| ~ v22_waybel_0(X1,X2,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v8_waybel_1(X1,X2)
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_68,negated_conjecture,
v22_waybel_0(esk2_0,esk1_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_69,plain,
( m2_relset_1(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_70,plain,
( v1_funct_2(k2_waybel_1(X1,X2,X3),u1_struct_0(X1),u1_struct_0(k2_yellow_2(X1,X2,X3)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_71,plain,
( v1_funct_1(k2_waybel_1(X1,X2,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_72,plain,
( l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ m1_yellow_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_73,negated_conjecture,
m1_yellow_0(k2_yellow_2(esk1_0,esk1_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(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_74,plain,
( v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_75,negated_conjecture,
v6_waybel_1(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(spm,[status(thm)],[c_0_50,c_0_51]),c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_76,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_77,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_78,plain,
( v4_orders_2(X1)
| ~ v4_yellow_0(X1,X2)
| ~ m1_yellow_0(X1,X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_79,negated_conjecture,
v4_yellow_0(k2_yellow_2(esk1_0,esk1_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(spm,[status(thm)],[c_0_53,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_80,plain,
( v3_orders_2(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_81,plain,
( v2_orders_2(X1)
| ~ v4_yellow_0(X1,X2)
| ~ m1_yellow_0(X1,X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_82,plain,
( k1_waybel34(X1,k2_yellow_2(X1,X1,X2),k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v8_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_83,negated_conjecture,
k3_waybel_1(esk1_0,esk1_0,esk2_0) = k7_grcat_1(k2_yellow_2(esk1_0,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(spm,[status(thm)],[c_0_55,c_0_32]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_84,plain,
( v1_funct_1(k3_waybel_1(X1,X2,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
fof(c_0_85,plain,
! [X187,X188,X189] :
( ( ~ v3_struct_0(k2_yellow_2(X187,X188,X189))
| v3_struct_0(X187)
| ~ l1_orders_2(X187)
| v3_struct_0(X188)
| ~ l1_orders_2(X188)
| ~ v1_funct_1(X189)
| ~ v1_funct_2(X189,u1_struct_0(X187),u1_struct_0(X188))
| ~ m1_relset_1(X189,u1_struct_0(X187),u1_struct_0(X188)) )
& ( v1_orders_2(k2_yellow_2(X187,X188,X189))
| v3_struct_0(X187)
| ~ l1_orders_2(X187)
| v3_struct_0(X188)
| ~ l1_orders_2(X188)
| ~ v1_funct_1(X189)
| ~ v1_funct_2(X189,u1_struct_0(X187),u1_struct_0(X188))
| ~ m1_relset_1(X189,u1_struct_0(X187),u1_struct_0(X188)) )
& ( v4_yellow_0(k2_yellow_2(X187,X188,X189),X188)
| v3_struct_0(X187)
| ~ l1_orders_2(X187)
| v3_struct_0(X188)
| ~ l1_orders_2(X188)
| ~ v1_funct_1(X189)
| ~ v1_funct_2(X189,u1_struct_0(X187),u1_struct_0(X188))
| ~ m1_relset_1(X189,u1_struct_0(X187),u1_struct_0(X188)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).
fof(c_0_86,plain,
! [X283,X284,X285,X286] :
( v3_struct_0(X283)
| ~ l1_orders_2(X283)
| v3_struct_0(X284)
| ~ l1_orders_2(X284)
| ~ v1_funct_1(X285)
| ~ v1_funct_2(X285,u1_struct_0(X283),u1_struct_0(X284))
| ~ m2_relset_1(X285,u1_struct_0(X283),u1_struct_0(X284))
| ~ m1_subset_1(X286,u1_struct_0(k2_yellow_2(X283,X284,X285)))
| k7_yellow_2(u1_struct_0(k2_yellow_2(X283,X284,X285)),X284,k3_waybel_1(X283,X284,X285),X286) = X286 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).
fof(c_0_87,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v4_yellow_0(X2,X1)
& v8_yellow_0(X2,X1)
& m1_yellow_0(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ! [X5] :
( m1_subset_1(X5,u1_struct_0(X2))
=> ! [X6] :
( m1_subset_1(X6,u1_struct_0(X2))
=> ( ( X5 = X3
& X6 = X4
& r1_waybel_3(X1,X3,X4) )
=> r1_waybel_3(X2,X5,X6) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t36_waybel34]) ).
fof(c_0_88,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> ( v8_yellow_0(X2,X1)
=> ~ v3_struct_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_waybel10]) ).
fof(c_0_89,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ( v7_waybel_1(X2,X1)
=> v7_yellow_0(k2_yellow_2(X1,X1,X2),X1) )
& ( v8_waybel_1(X2,X1)
=> v8_yellow_0(k2_yellow_2(X1,X1,X2),X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t56_waybel_1]) ).
fof(c_0_90,plain,
! [X117,X118,X119,X120,X121] :
( ( ~ v1_waybel34(X119,X117,X118)
| ~ m1_subset_1(X120,u1_struct_0(X117))
| ~ m1_subset_1(X121,u1_struct_0(X117))
| ~ r1_waybel_3(X117,X120,X121)
| r1_waybel_3(X118,k7_yellow_2(u1_struct_0(X117),X118,X119,X120),k7_yellow_2(u1_struct_0(X117),X118,X119,X121))
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ m2_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X118)
| ~ v2_orders_2(X118)
| ~ l1_orders_2(X118)
| v3_struct_0(X117)
| ~ v2_orders_2(X117)
| ~ l1_orders_2(X117) )
& ( m1_subset_1(esk7_3(X117,X118,X119),u1_struct_0(X117))
| v1_waybel34(X119,X117,X118)
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ m2_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X118)
| ~ v2_orders_2(X118)
| ~ l1_orders_2(X118)
| v3_struct_0(X117)
| ~ v2_orders_2(X117)
| ~ l1_orders_2(X117) )
& ( m1_subset_1(esk8_3(X117,X118,X119),u1_struct_0(X117))
| v1_waybel34(X119,X117,X118)
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ m2_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X118)
| ~ v2_orders_2(X118)
| ~ l1_orders_2(X118)
| v3_struct_0(X117)
| ~ v2_orders_2(X117)
| ~ l1_orders_2(X117) )
& ( r1_waybel_3(X117,esk7_3(X117,X118,X119),esk8_3(X117,X118,X119))
| v1_waybel34(X119,X117,X118)
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ m2_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X118)
| ~ v2_orders_2(X118)
| ~ l1_orders_2(X118)
| v3_struct_0(X117)
| ~ v2_orders_2(X117)
| ~ l1_orders_2(X117) )
& ( ~ r1_waybel_3(X118,k7_yellow_2(u1_struct_0(X117),X118,X119,esk7_3(X117,X118,X119)),k7_yellow_2(u1_struct_0(X117),X118,X119,esk8_3(X117,X118,X119)))
| v1_waybel34(X119,X117,X118)
| ~ v1_funct_1(X119)
| ~ v1_funct_2(X119,u1_struct_0(X117),u1_struct_0(X118))
| ~ m2_relset_1(X119,u1_struct_0(X117),u1_struct_0(X118))
| v3_struct_0(X118)
| ~ v2_orders_2(X118)
| ~ l1_orders_2(X118)
| v3_struct_0(X117)
| ~ v2_orders_2(X117)
| ~ l1_orders_2(X117) ) ),
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_59])])])])]) ).
cnf(c_0_91,plain,
( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v22_waybel_0(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_92,negated_conjecture,
v17_waybel_0(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_51]),c_0_32]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_93,negated_conjecture,
v22_waybel_0(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(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_67,c_0_51]),c_0_68]),c_0_32]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_94,negated_conjecture,
m2_relset_1(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,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(spm,[status(thm)],[c_0_69,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_95,negated_conjecture,
v1_funct_2(k2_waybel_1(esk1_0,esk1_0,esk2_0),u1_struct_0(esk1_0),u1_struct_0(k2_yellow_2(esk1_0,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(spm,[status(thm)],[c_0_70,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_96,negated_conjecture,
v1_funct_1(k2_waybel_1(esk1_0,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(spm,[status(thm)],[c_0_71,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_97,negated_conjecture,
l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_35])]) ).
cnf(c_0_98,negated_conjecture,
v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_45]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_99,negated_conjecture,
v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_75]),c_0_45]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_100,negated_conjecture,
v1_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_75]),c_0_45]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_101,negated_conjecture,
v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_73]),c_0_35]),c_0_64])]) ).
cnf(c_0_102,negated_conjecture,
v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_75]),c_0_45]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_103,negated_conjecture,
v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_79]),c_0_73]),c_0_35]),c_0_66])]) ).
cnf(c_0_104,negated_conjecture,
k1_waybel34(esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0),k2_waybel_1(esk1_0,esk1_0,esk2_0)) = k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
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(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_82,c_0_51]),c_0_83]),c_0_32]),c_0_46]),c_0_47]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_105,plain,
( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_106,plain,
( v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_107,negated_conjecture,
v1_funct_1(k3_waybel_1(esk1_0,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(spm,[status(thm)],[c_0_84,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_108,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_struct_0(k2_yellow_2(X1,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_109,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k7_yellow_2(u1_struct_0(k2_yellow_2(X1,X2,X3)),X2,k3_waybel_1(X1,X2,X3),X4) = X4
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(k2_yellow_2(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_110,negated_conjecture,
m1_subset_1(esk5_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_111,negated_conjecture,
esk5_0 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_112,plain,
! [X287,X288,X289,X290,X291,X292] :
( ~ v2_orders_2(X287)
| ~ v3_orders_2(X287)
| ~ v4_orders_2(X287)
| ~ v1_lattice3(X287)
| ~ v2_lattice3(X287)
| ~ v3_lattice3(X287)
| ~ l1_orders_2(X287)
| v3_struct_0(X288)
| ~ v4_yellow_0(X288,X287)
| ~ v8_yellow_0(X288,X287)
| ~ m1_yellow_0(X288,X287)
| ~ m1_subset_1(X289,u1_struct_0(X287))
| ~ m1_subset_1(X290,u1_struct_0(X287))
| ~ m1_subset_1(X291,u1_struct_0(X288))
| ~ m1_subset_1(X292,u1_struct_0(X288))
| X291 != X289
| X292 != X290
| ~ r1_waybel_3(X287,X289,X290)
| r1_waybel_3(X288,X291,X292) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])])]) ).
fof(c_0_113,plain,
! [X83,X84] :
( ~ v2_orders_2(X83)
| ~ v3_orders_2(X83)
| ~ v4_orders_2(X83)
| ~ v1_lattice3(X83)
| ~ v2_lattice3(X83)
| ~ v3_lattice3(X83)
| ~ l1_orders_2(X83)
| ~ m1_yellow_0(X84,X83)
| ~ v8_yellow_0(X84,X83)
| ~ v3_struct_0(X84) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_88])])]) ).
fof(c_0_114,plain,
! [X298,X299] :
( ( ~ v7_waybel_1(X299,X298)
| v7_yellow_0(k2_yellow_2(X298,X298,X299),X298)
| ~ v1_funct_1(X299)
| ~ v1_funct_2(X299,u1_struct_0(X298),u1_struct_0(X298))
| ~ m2_relset_1(X299,u1_struct_0(X298),u1_struct_0(X298))
| v3_struct_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ l1_orders_2(X298) )
& ( ~ v8_waybel_1(X299,X298)
| v8_yellow_0(k2_yellow_2(X298,X298,X299),X298)
| ~ v1_funct_1(X299)
| ~ v1_funct_2(X299,u1_struct_0(X298),u1_struct_0(X298))
| ~ m2_relset_1(X299,u1_struct_0(X298),u1_struct_0(X298))
| v3_struct_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ l1_orders_2(X298) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_89])])])]) ).
cnf(c_0_115,plain,
( r1_waybel_3(X3,k7_yellow_2(u1_struct_0(X2),X3,X1,X4),k7_yellow_2(u1_struct_0(X2),X3,X1,X5))
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ v1_waybel34(X1,X2,X3)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ r1_waybel_3(X2,X4,X5)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X3))
| ~ v2_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_116,negated_conjecture,
v1_waybel34(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(rw,[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(rw,[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(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_91,c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_35]),c_0_98]),c_0_62]),c_0_99]),c_0_63]),c_0_100]),c_0_34]),c_0_101]),c_0_64]),c_0_102]),c_0_65]),c_0_103]),c_0_66])]),c_0_104]) ).
cnf(c_0_117,negated_conjecture,
m2_relset_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_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(spm,[status(thm)],[c_0_105,c_0_45]),c_0_83]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_118,negated_conjecture,
v1_funct_2(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_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(spm,[status(thm)],[c_0_106,c_0_45]),c_0_83]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_119,negated_conjecture,
v1_funct_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_107,c_0_83]) ).
cnf(c_0_120,negated_conjecture,
~ v3_struct_0(k2_yellow_2(esk1_0,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(spm,[status(thm)],[c_0_108,c_0_45]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_121,negated_conjecture,
( r1_waybel_3(esk1_0,esk3_0,esk4_0)
| r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_122,negated_conjecture,
esk6_0 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_123,negated_conjecture,
( k7_yellow_2(u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,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_109,c_0_32]),c_0_83]),c_0_46]),c_0_47]),c_0_35])]),c_0_48]) ).
cnf(c_0_124,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_125,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_126,plain,
( v3_struct_0(X2)
| r1_waybel_3(X2,X5,X6)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v4_yellow_0(X2,X1)
| ~ v8_yellow_0(X2,X1)
| ~ m1_yellow_0(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X5,u1_struct_0(X2))
| ~ m1_subset_1(X6,u1_struct_0(X2))
| X5 != X3
| X6 != X4
| ~ r1_waybel_3(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_127,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ m1_yellow_0(X2,X1)
| ~ v8_yellow_0(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_128,plain,
( v8_yellow_0(k2_yellow_2(X2,X2,X1),X2)
| v3_struct_0(X2)
| ~ v8_waybel_1(X1,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_129,negated_conjecture,
( ~ r1_waybel_3(esk1_0,esk3_0,esk4_0)
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk5_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_130,negated_conjecture,
( r1_waybel_3(esk1_0,k7_yellow_2(u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),X1),k7_yellow_2(u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),X2))
| ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0))) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_117]),c_0_118]),c_0_119]),c_0_35]),c_0_97]),c_0_66]),c_0_103])]),c_0_48]),c_0_120]) ).
cnf(c_0_131,negated_conjecture,
( r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk3_0,esk6_0)
| r1_waybel_3(esk1_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_111]) ).
cnf(c_0_132,negated_conjecture,
k7_yellow_2(u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk3_0) = esk3_0,
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_133,negated_conjecture,
k7_yellow_2(u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),esk6_0) = esk6_0,
inference(spm,[status(thm)],[c_0_123,c_0_125]) ).
cnf(c_0_134,plain,
( r1_waybel_3(X1,X2,X3)
| ~ v4_yellow_0(X1,X4)
| ~ v8_yellow_0(X1,X4)
| ~ m1_yellow_0(X1,X4)
| ~ r1_waybel_3(X4,X2,X3)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X4))
| ~ m1_subset_1(X2,u1_struct_0(X4))
| ~ l1_orders_2(X4)
| ~ v3_lattice3(X4)
| ~ v2_lattice3(X4)
| ~ v1_lattice3(X4)
| ~ v4_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v2_orders_2(X4) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[c_0_126,c_0_127])])]) ).
cnf(c_0_135,negated_conjecture,
v8_yellow_0(k2_yellow_2(esk1_0,esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_51]),c_0_32]),c_0_46]),c_0_47]),c_0_35]),c_0_64]),c_0_65]),c_0_66])]),c_0_48]) ).
cnf(c_0_136,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_137,negated_conjecture,
( ~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk3_0,esk6_0)
| ~ r1_waybel_3(esk1_0,esk3_0,esk6_0) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_122]),c_0_111]) ).
cnf(c_0_138,negated_conjecture,
r1_waybel_3(esk1_0,esk3_0,esk6_0),
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_130,c_0_131]),c_0_132]),c_0_133]),c_0_125]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),X1,X2)
| ~ r1_waybel_3(esk1_0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X1,u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_79]),c_0_73]),c_0_35]),c_0_62]),c_0_63]),c_0_34]),c_0_64]),c_0_65]),c_0_66])]) ).
cnf(c_0_140,negated_conjecture,
m1_subset_1(esk6_0,u1_struct_0(esk1_0)),
inference(rw,[status(thm)],[c_0_136,c_0_122]) ).
cnf(c_0_141,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_142,negated_conjecture,
~ r1_waybel_3(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk3_0,esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_138])]) ).
cnf(c_0_143,negated_conjecture,
$false,
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_139,c_0_138]),c_0_125]),c_0_124]),c_0_140]),c_0_141])]),c_0_142]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT366+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Thu Aug 24 09:35:56 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.46 start to proof: theBenchmark
% 5.29/5.40 % Version : CSE_E---1.5
% 5.29/5.40 % Problem : theBenchmark.p
% 5.29/5.40 % Proof found
% 5.29/5.40 % SZS status Theorem for theBenchmark.p
% 5.29/5.40 % SZS output start Proof
% See solution above
% 5.34/5.42 % Total time : 4.934000 s
% 5.34/5.42 % SZS output end Proof
% 5.34/5.42 % Total time : 4.940000 s
%------------------------------------------------------------------------------