TSTP Solution File: LAT355+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT355+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 06:01:54 EDT 2023
% Result : Theorem 0.98s 1.07s
% Output : CNFRefutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 140
% Syntax : Number of formulae : 236 ( 38 unt; 123 typ; 0 def)
% Number of atoms : 1162 ( 28 equ)
% Maximal formula atoms : 190 ( 10 avg)
% Number of connectives : 1808 ( 759 ~; 734 |; 259 &)
% ( 5 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 156 ( 97 >; 59 *; 0 +; 0 <<)
% Number of predicates : 68 ( 66 usr; 1 prp; 0-3 aty)
% Number of functors : 57 ( 57 usr; 26 con; 0-4 aty)
% Number of variables : 146 ( 0 sgn; 93 !; 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,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
k7_lattice3: $i > $i ).
tff(decl_35,type,
k3_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
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,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_44,type,
v1_xcmplx_0: $i > $o ).
tff(decl_45,type,
v3_struct_0: $i > $o ).
tff(decl_46,type,
v24_waybel_0: $i > $o ).
tff(decl_47,type,
v25_waybel_0: $i > $o ).
tff(decl_48,type,
v11_waybel_1: $i > $o ).
tff(decl_49,type,
v2_yellow_0: $i > $o ).
tff(decl_50,type,
v2_waybel_1: $i > $o ).
tff(decl_51,type,
v9_waybel_1: $i > $o ).
tff(decl_52,type,
v2_membered: $i > $o ).
tff(decl_53,type,
v1_xreal_0: $i > $o ).
tff(decl_54,type,
v1_yellow_0: $i > $o ).
tff(decl_55,type,
v3_membered: $i > $o ).
tff(decl_56,type,
v1_rat_1: $i > $o ).
tff(decl_57,type,
v3_yellow_0: $i > $o ).
tff(decl_58,type,
v4_membered: $i > $o ).
tff(decl_59,type,
v1_int_1: $i > $o ).
tff(decl_60,type,
v5_membered: $i > $o ).
tff(decl_61,type,
v4_ordinal2: $i > $o ).
tff(decl_62,type,
v1_xboole_0: $i > $o ).
tff(decl_63,type,
k1_zfmisc_1: $i > $i ).
tff(decl_64,type,
v1_finset_1: $i > $o ).
tff(decl_65,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_66,type,
v1_relat_1: $i > $o ).
tff(decl_67,type,
v1_setfam_1: $i > $o ).
tff(decl_68,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_72,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
v4_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_75,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
v16_waybel_0: $i > $o ).
tff(decl_77,type,
v1_waybel_0: ( $i * $i ) > $o ).
tff(decl_78,type,
v2_waybel_0: ( $i * $i ) > $o ).
tff(decl_79,type,
v2_waybel_8: $i > $o ).
tff(decl_80,type,
v2_waybel_3: $i > $o ).
tff(decl_81,type,
v3_waybel_3: $i > $o ).
tff(decl_82,type,
v2_funct_1: $i > $o ).
tff(decl_83,type,
v3_realset2: $i > $o ).
tff(decl_84,type,
v13_waybel_0: ( $i * $i ) > $o ).
tff(decl_85,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_86,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_87,type,
v1_yellow_3: $i > $o ).
tff(decl_88,type,
v10_waybel_1: $i > $o ).
tff(decl_89,type,
v1_waybel_8: $i > $o ).
tff(decl_90,type,
v1_waybel_2: $i > $o ).
tff(decl_91,type,
v3_waybel_8: $i > $o ).
tff(decl_92,type,
v2_waybel_2: $i > $o ).
tff(decl_93,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_94,type,
k1_waybel_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
v3_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_96,type,
k6_relset_1: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_98,type,
k1_tarski: $i > $i ).
tff(decl_99,type,
m1_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_100,type,
k4_relat_1: $i > $i ).
tff(decl_101,type,
l1_struct_0: $i > $o ).
tff(decl_102,type,
k1_xboole_0: $i ).
tff(decl_103,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_104,type,
esk1_0: $i ).
tff(decl_105,type,
esk2_0: $i ).
tff(decl_106,type,
esk3_0: $i ).
tff(decl_107,type,
esk4_0: $i ).
tff(decl_108,type,
esk5_0: $i ).
tff(decl_109,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_110,type,
esk7_1: $i > $i ).
tff(decl_111,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_112,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_113,type,
esk10_1: $i > $i ).
tff(decl_114,type,
esk11_0: $i ).
tff(decl_115,type,
esk12_0: $i ).
tff(decl_116,type,
esk13_0: $i ).
tff(decl_117,type,
esk14_0: $i ).
tff(decl_118,type,
esk15_0: $i ).
tff(decl_119,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_120,type,
esk17_0: $i ).
tff(decl_121,type,
esk18_0: $i ).
tff(decl_122,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_123,type,
esk20_1: $i > $i ).
tff(decl_124,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk22_1: $i > $i ).
tff(decl_126,type,
esk23_0: $i ).
tff(decl_127,type,
esk24_0: $i ).
tff(decl_128,type,
esk25_0: $i ).
tff(decl_129,type,
esk26_0: $i ).
tff(decl_130,type,
esk27_0: $i ).
tff(decl_131,type,
esk28_0: $i ).
tff(decl_132,type,
esk29_1: $i > $i ).
tff(decl_133,type,
esk30_0: $i ).
tff(decl_134,type,
esk31_0: $i ).
tff(decl_135,type,
esk32_0: $i ).
tff(decl_136,type,
esk33_1: $i > $i ).
tff(decl_137,type,
esk34_0: $i ).
tff(decl_138,type,
esk35_0: $i ).
tff(decl_139,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_140,type,
esk37_1: $i > $i ).
tff(decl_141,type,
esk38_0: $i ).
tff(decl_142,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_143,type,
esk40_1: $i > $i ).
tff(decl_144,type,
esk41_0: $i ).
fof(t5_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] :
( ( 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))
& v18_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k1_waybel34(k7_lattice3(X1),k7_lattice3(X2),k3_waybel34(X1,X2,X3)) = k2_waybel34(X2,X1,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_waybel34) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k2_waybel34,axiom,
! [X1,X2,X3] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& l1_orders_2(X1)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( v1_funct_1(k2_waybel34(X1,X2,X3))
& v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_waybel34) ).
fof(t44_yellow_7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_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)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1))) )
=> ( ( X3 = X5
& X4 = X6 )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X6,X5),k7_lattice3(X2),k7_lattice3(X1)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t44_yellow_7) ).
fof(d2_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_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)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v18_waybel_0(X3,X2,X1) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( X4 = k2_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X4,X3),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel34) ).
fof(d3_waybel34,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [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_waybel34(X1,X2,X3) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(dt_k3_waybel34,axiom,
! [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)) )
=> ( v1_funct_1(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel34) ).
fof(fc4_waybel34,axiom,
! [X1,X2,X3] :
( ( 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))
& v18_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k3_waybel34(X1,X2,X3))
& v1_funct_1(k3_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v1_partfun1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v19_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v21_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v4_waybel_1(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v5_orders_3(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_waybel34) ).
fof(d1_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_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)
& 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)) )
=> ( ( v3_lattice3(X1)
& v3_lattice3(X2)
& v17_waybel_0(X3,X1,X2) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ( X4 = k1_waybel34(X1,X2,X3)
<=> v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_waybel34) ).
fof(fc7_yellow_7,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1))
& v3_lattice3(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1))
& v2_yellow_0(k7_lattice3(X1))
& v3_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_yellow_7) ).
fof(fc6_yellow_7,axiom,
! [X1] :
( ( v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_yellow_7) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(c_0_17,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] :
( ( 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))
& v18_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k1_waybel34(k7_lattice3(X1),k7_lattice3(X2),k3_waybel34(X1,X2,X3)) = k2_waybel34(X2,X1,X3) ) ) ),
inference(assume_negation,[status(cth)],[t5_waybel34]) ).
fof(c_0_18,plain,
! [X287,X288,X289] :
( ( ~ m2_relset_1(X289,X287,X288)
| m1_relset_1(X289,X287,X288) )
& ( ~ m1_relset_1(X289,X287,X288)
| m2_relset_1(X289,X287,X288) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_19,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)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v3_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& v1_funct_1(esk3_0)
& v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v18_waybel_0(esk3_0,esk1_0,esk2_0)
& m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).
fof(c_0_20,plain,
! [X132,X133,X134] :
( ( v1_funct_1(k2_waybel34(X132,X133,X134))
| ~ v2_orders_2(X132)
| ~ v3_orders_2(X132)
| ~ v4_orders_2(X132)
| ~ v1_lattice3(X132)
| ~ v2_lattice3(X132)
| ~ l1_orders_2(X132)
| ~ v2_orders_2(X133)
| ~ v3_orders_2(X133)
| ~ v4_orders_2(X133)
| ~ v1_lattice3(X133)
| ~ v2_lattice3(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X133),u1_struct_0(X132))
| ~ m1_relset_1(X134,u1_struct_0(X133),u1_struct_0(X132)) )
& ( v1_funct_2(k2_waybel34(X132,X133,X134),u1_struct_0(X132),u1_struct_0(X133))
| ~ v2_orders_2(X132)
| ~ v3_orders_2(X132)
| ~ v4_orders_2(X132)
| ~ v1_lattice3(X132)
| ~ v2_lattice3(X132)
| ~ l1_orders_2(X132)
| ~ v2_orders_2(X133)
| ~ v3_orders_2(X133)
| ~ v4_orders_2(X133)
| ~ v1_lattice3(X133)
| ~ v2_lattice3(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X133),u1_struct_0(X132))
| ~ m1_relset_1(X134,u1_struct_0(X133),u1_struct_0(X132)) )
& ( m2_relset_1(k2_waybel34(X132,X133,X134),u1_struct_0(X132),u1_struct_0(X133))
| ~ v2_orders_2(X132)
| ~ v3_orders_2(X132)
| ~ v4_orders_2(X132)
| ~ v1_lattice3(X132)
| ~ v2_lattice3(X132)
| ~ l1_orders_2(X132)
| ~ v2_orders_2(X133)
| ~ v3_orders_2(X133)
| ~ v4_orders_2(X133)
| ~ v1_lattice3(X133)
| ~ v2_lattice3(X133)
| ~ l1_orders_2(X133)
| ~ v1_funct_1(X134)
| ~ v1_funct_2(X134,u1_struct_0(X133),u1_struct_0(X132))
| ~ m1_relset_1(X134,u1_struct_0(X133),u1_struct_0(X132)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k2_waybel34])])]) ).
cnf(c_0_21,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_23,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_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)) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& m2_relset_1(X5,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2))) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
& m2_relset_1(X6,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1))) )
=> ( ( X3 = X5
& X4 = X6 )
=> ( v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
<=> v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X6,X5),k7_lattice3(X2),k7_lattice3(X1)) ) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t44_yellow_7]) ).
fof(c_0_24,plain,
! [X113,X114,X115,X116] :
( ( X116 != k2_waybel34(X113,X114,X115)
| v3_waybel_1(k1_waybel_1(X113,X114,X116,X115),X113,X114)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,u1_struct_0(X113),u1_struct_0(X114))
| ~ m2_relset_1(X116,u1_struct_0(X113),u1_struct_0(X114))
| ~ v3_lattice3(X113)
| ~ v3_lattice3(X114)
| ~ v18_waybel_0(X115,X114,X113)
| ~ v1_funct_1(X115)
| ~ v1_funct_2(X115,u1_struct_0(X114),u1_struct_0(X113))
| ~ m2_relset_1(X115,u1_struct_0(X114),u1_struct_0(X113))
| ~ v2_orders_2(X114)
| ~ v3_orders_2(X114)
| ~ v4_orders_2(X114)
| ~ v1_lattice3(X114)
| ~ v2_lattice3(X114)
| ~ l1_orders_2(X114)
| ~ v2_orders_2(X113)
| ~ v3_orders_2(X113)
| ~ v4_orders_2(X113)
| ~ v1_lattice3(X113)
| ~ v2_lattice3(X113)
| ~ l1_orders_2(X113) )
& ( ~ v3_waybel_1(k1_waybel_1(X113,X114,X116,X115),X113,X114)
| X116 = k2_waybel34(X113,X114,X115)
| ~ v1_funct_1(X116)
| ~ v1_funct_2(X116,u1_struct_0(X113),u1_struct_0(X114))
| ~ m2_relset_1(X116,u1_struct_0(X113),u1_struct_0(X114))
| ~ v3_lattice3(X113)
| ~ v3_lattice3(X114)
| ~ v18_waybel_0(X115,X114,X113)
| ~ v1_funct_1(X115)
| ~ v1_funct_2(X115,u1_struct_0(X114),u1_struct_0(X113))
| ~ m2_relset_1(X115,u1_struct_0(X114),u1_struct_0(X113))
| ~ v2_orders_2(X114)
| ~ v3_orders_2(X114)
| ~ v4_orders_2(X114)
| ~ v1_lattice3(X114)
| ~ v2_lattice3(X114)
| ~ l1_orders_2(X114)
| ~ v2_orders_2(X113)
| ~ v3_orders_2(X113)
| ~ v4_orders_2(X113)
| ~ v1_lattice3(X113)
| ~ v2_lattice3(X113)
| ~ l1_orders_2(X113) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_waybel34])])])]) ).
cnf(c_0_25,plain,
( m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_26,negated_conjecture,
m1_relset_1(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
v1_funct_1(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_29,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_36,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_41,plain,
! [X117,X118,X119] :
( ~ l1_orders_2(X117)
| ~ l1_orders_2(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))
| k3_waybel34(X117,X118,X119) = X119 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d3_waybel34])])]) ).
cnf(c_0_42,plain,
( v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43,plain,
( v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ m1_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_44,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_45,plain,
! [X297,X298,X299,X300,X301,X302] :
( ( ~ v3_waybel_1(k1_waybel_1(X297,X298,X299,X300),X297,X298)
| v3_waybel_1(k1_waybel_1(k7_lattice3(X298),k7_lattice3(X297),X302,X301),k7_lattice3(X298),k7_lattice3(X297))
| X299 != X301
| X300 != X302
| ~ v1_funct_1(X302)
| ~ v1_funct_2(X302,u1_struct_0(k7_lattice3(X298)),u1_struct_0(k7_lattice3(X297)))
| ~ m2_relset_1(X302,u1_struct_0(k7_lattice3(X298)),u1_struct_0(k7_lattice3(X297)))
| ~ v1_funct_1(X301)
| ~ v1_funct_2(X301,u1_struct_0(k7_lattice3(X297)),u1_struct_0(k7_lattice3(X298)))
| ~ m2_relset_1(X301,u1_struct_0(k7_lattice3(X297)),u1_struct_0(k7_lattice3(X298)))
| ~ v1_funct_1(X300)
| ~ v1_funct_2(X300,u1_struct_0(X298),u1_struct_0(X297))
| ~ m2_relset_1(X300,u1_struct_0(X298),u1_struct_0(X297))
| ~ v1_funct_1(X299)
| ~ v1_funct_2(X299,u1_struct_0(X297),u1_struct_0(X298))
| ~ m2_relset_1(X299,u1_struct_0(X297),u1_struct_0(X298))
| v3_struct_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ l1_orders_2(X298)
| v3_struct_0(X297)
| ~ v2_orders_2(X297)
| ~ v3_orders_2(X297)
| ~ v4_orders_2(X297)
| ~ l1_orders_2(X297) )
& ( ~ v3_waybel_1(k1_waybel_1(k7_lattice3(X298),k7_lattice3(X297),X302,X301),k7_lattice3(X298),k7_lattice3(X297))
| v3_waybel_1(k1_waybel_1(X297,X298,X299,X300),X297,X298)
| X299 != X301
| X300 != X302
| ~ v1_funct_1(X302)
| ~ v1_funct_2(X302,u1_struct_0(k7_lattice3(X298)),u1_struct_0(k7_lattice3(X297)))
| ~ m2_relset_1(X302,u1_struct_0(k7_lattice3(X298)),u1_struct_0(k7_lattice3(X297)))
| ~ v1_funct_1(X301)
| ~ v1_funct_2(X301,u1_struct_0(k7_lattice3(X297)),u1_struct_0(k7_lattice3(X298)))
| ~ m2_relset_1(X301,u1_struct_0(k7_lattice3(X297)),u1_struct_0(k7_lattice3(X298)))
| ~ v1_funct_1(X300)
| ~ v1_funct_2(X300,u1_struct_0(X298),u1_struct_0(X297))
| ~ m2_relset_1(X300,u1_struct_0(X298),u1_struct_0(X297))
| ~ v1_funct_1(X299)
| ~ v1_funct_2(X299,u1_struct_0(X297),u1_struct_0(X298))
| ~ m2_relset_1(X299,u1_struct_0(X297),u1_struct_0(X298))
| v3_struct_0(X298)
| ~ v2_orders_2(X298)
| ~ v3_orders_2(X298)
| ~ v4_orders_2(X298)
| ~ l1_orders_2(X298)
| v3_struct_0(X297)
| ~ v2_orders_2(X297)
| ~ v3_orders_2(X297)
| ~ v4_orders_2(X297)
| ~ l1_orders_2(X297) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_46,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X1,X4),X2,X3)
| X1 != k2_waybel34(X2,X3,X4)
| ~ 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))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v18_waybel_0(X4,X3,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X3),u1_struct_0(X2))
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v1_lattice3(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_47,plain,
! [X135,X136,X137] :
( ( v1_funct_1(k3_waybel34(X135,X136,X137))
| ~ l1_orders_2(X135)
| ~ 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)) )
& ( v1_funct_2(k3_waybel34(X135,X136,X137),u1_struct_0(k7_lattice3(X135)),u1_struct_0(k7_lattice3(X136)))
| ~ l1_orders_2(X135)
| ~ 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)) )
& ( m2_relset_1(k3_waybel34(X135,X136,X137),u1_struct_0(k7_lattice3(X135)),u1_struct_0(k7_lattice3(X136)))
| ~ l1_orders_2(X135)
| ~ 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)],[dt_k3_waybel34])])]) ).
cnf(c_0_48,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),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(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_25,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_49,plain,
( k3_waybel34(X1,X2,X3) = 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_41]) ).
cnf(c_0_50,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),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(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_42,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_51,negated_conjecture,
v1_funct_1(k2_waybel34(esk2_0,esk1_0,esk3_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
fof(c_0_52,plain,
! [X40] :
( ~ l1_orders_2(X40)
| ~ v1_lattice3(X40)
| ~ v3_struct_0(X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])]) ).
fof(c_0_53,plain,
! [X1,X2,X3] :
( ( 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))
& v18_waybel_0(X3,X1,X2)
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_relat_1(k3_waybel34(X1,X2,X3))
& v1_funct_1(k3_waybel34(X1,X2,X3))
& ~ v1_xboole_0(k3_waybel34(X1,X2,X3))
& v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v1_partfun1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
& v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v19_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v21_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v4_waybel_1(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2))
& v5_orders_3(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(X2)) ) ),
inference(fof_simplification,[status(thm)],[fc4_waybel34]) ).
cnf(c_0_54,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(X2),k7_lattice3(X1),X5,X6),k7_lattice3(X2),k7_lattice3(X1))
| v3_struct_0(X2)
| v3_struct_0(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| X3 != X6
| X4 != X5
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X5,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X6,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ 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))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,k2_waybel34(X1,X2,X3),X3),X1,X2)
| ~ m2_relset_1(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v18_waybel_0(X3,X2,X1)
| ~ v1_funct_2(k2_waybel34(X1,X2,X3),u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X3,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(k2_waybel34(X1,X2,X3))
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X1) ),
inference(er,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
v18_waybel_0(esk3_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_57,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_58,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_59,plain,
( m2_relset_1(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(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_47]) ).
cnf(c_0_60,negated_conjecture,
m1_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
k3_waybel34(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0)) = k2_waybel34(esk2_0,esk1_0,esk3_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_49,c_0_48]),c_0_50]),c_0_51]),c_0_29]),c_0_30])]) ).
cnf(c_0_62,negated_conjecture,
k3_waybel34(esk1_0,esk2_0,esk3_0) = esk3_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_49,c_0_22]),c_0_27]),c_0_28]),c_0_30]),c_0_29])]) ).
cnf(c_0_63,plain,
( v1_funct_2(k3_waybel34(X1,X2,X3),u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(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_47]) ).
cnf(c_0_64,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
fof(c_0_65,plain,
! [X203,X204,X205] :
( ( v1_relat_1(k3_waybel34(X203,X204,X205))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v1_funct_1(k3_waybel34(X203,X204,X205))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( ~ v1_xboole_0(k3_waybel34(X203,X204,X205))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v1_funct_2(k3_waybel34(X203,X204,X205),u1_struct_0(k7_lattice3(X203)),u1_struct_0(k7_lattice3(X204)))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v1_partfun1(k3_waybel34(X203,X204,X205),u1_struct_0(k7_lattice3(X203)),u1_struct_0(k7_lattice3(X204)))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v17_waybel_0(k3_waybel34(X203,X204,X205),k7_lattice3(X203),k7_lattice3(X204))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v19_waybel_0(k3_waybel34(X203,X204,X205),k7_lattice3(X203),k7_lattice3(X204))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v21_waybel_0(k3_waybel34(X203,X204,X205),k7_lattice3(X203),k7_lattice3(X204))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v4_waybel_1(k3_waybel34(X203,X204,X205),k7_lattice3(X203),k7_lattice3(X204))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) )
& ( v5_orders_3(k3_waybel34(X203,X204,X205),k7_lattice3(X203),k7_lattice3(X204))
| ~ v2_orders_2(X203)
| ~ v3_orders_2(X203)
| ~ v4_orders_2(X203)
| ~ v1_lattice3(X203)
| ~ v2_lattice3(X203)
| ~ v3_lattice3(X203)
| ~ l1_orders_2(X203)
| ~ v2_orders_2(X204)
| ~ v3_orders_2(X204)
| ~ v4_orders_2(X204)
| ~ v1_lattice3(X204)
| ~ v2_lattice3(X204)
| ~ v3_lattice3(X204)
| ~ l1_orders_2(X204)
| ~ v1_funct_1(X205)
| ~ v1_funct_2(X205,u1_struct_0(X203),u1_struct_0(X204))
| ~ v18_waybel_0(X205,X203,X204)
| ~ m1_relset_1(X205,u1_struct_0(X203),u1_struct_0(X204)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).
fof(c_0_66,plain,
! [X109,X110,X111,X112] :
( ( X112 != k1_waybel34(X109,X110,X111)
| v3_waybel_1(k1_waybel_1(X109,X110,X111,X112),X109,X110)
| ~ v1_funct_1(X112)
| ~ v1_funct_2(X112,u1_struct_0(X110),u1_struct_0(X109))
| ~ m2_relset_1(X112,u1_struct_0(X110),u1_struct_0(X109))
| ~ v3_lattice3(X109)
| ~ v3_lattice3(X110)
| ~ v17_waybel_0(X111,X109,X110)
| ~ v1_funct_1(X111)
| ~ v1_funct_2(X111,u1_struct_0(X109),u1_struct_0(X110))
| ~ m2_relset_1(X111,u1_struct_0(X109),u1_struct_0(X110))
| ~ v2_orders_2(X110)
| ~ v3_orders_2(X110)
| ~ v4_orders_2(X110)
| ~ v1_lattice3(X110)
| ~ v2_lattice3(X110)
| ~ l1_orders_2(X110)
| ~ v2_orders_2(X109)
| ~ v3_orders_2(X109)
| ~ v4_orders_2(X109)
| ~ v1_lattice3(X109)
| ~ v2_lattice3(X109)
| ~ l1_orders_2(X109) )
& ( ~ v3_waybel_1(k1_waybel_1(X109,X110,X111,X112),X109,X110)
| X112 = k1_waybel34(X109,X110,X111)
| ~ v1_funct_1(X112)
| ~ v1_funct_2(X112,u1_struct_0(X110),u1_struct_0(X109))
| ~ m2_relset_1(X112,u1_struct_0(X110),u1_struct_0(X109))
| ~ v3_lattice3(X109)
| ~ v3_lattice3(X110)
| ~ v17_waybel_0(X111,X109,X110)
| ~ v1_funct_1(X111)
| ~ v1_funct_2(X111,u1_struct_0(X109),u1_struct_0(X110))
| ~ m2_relset_1(X111,u1_struct_0(X109),u1_struct_0(X110))
| ~ v2_orders_2(X110)
| ~ v3_orders_2(X110)
| ~ v4_orders_2(X110)
| ~ v1_lattice3(X110)
| ~ v2_lattice3(X110)
| ~ l1_orders_2(X110)
| ~ v2_orders_2(X109)
| ~ v3_orders_2(X109)
| ~ v4_orders_2(X109)
| ~ v1_lattice3(X109)
| ~ v2_lattice3(X109)
| ~ l1_orders_2(X109) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
cnf(c_0_67,plain,
( v3_waybel_1(k1_waybel_1(k7_lattice3(X1),k7_lattice3(X2),X3,X4),k7_lattice3(X1),k7_lattice3(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X1,X4,X3),X2,X1)
| ~ m2_relset_1(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X4,u1_struct_0(k7_lattice3(X2)),u1_struct_0(k7_lattice3(X1)))
| ~ v1_funct_2(X3,u1_struct_0(k7_lattice3(X1)),u1_struct_0(k7_lattice3(X2)))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X4)
| ~ v1_funct_1(X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_54])]) ).
cnf(c_0_68,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk2_0,esk1_0,k2_waybel34(esk2_0,esk1_0,esk3_0),esk3_0),esk2_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(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_55,c_0_22]),c_0_48]),c_0_56]),c_0_50]),c_0_27]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_57]),c_0_58]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]) ).
cnf(c_0_69,negated_conjecture,
m2_relset_1(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(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(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61]),c_0_50]),c_0_51]),c_0_29]),c_0_30])]) ).
cnf(c_0_70,negated_conjecture,
m2_relset_1(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(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(spm,[status(thm)],[c_0_59,c_0_26]),c_0_62]),c_0_27]),c_0_28]),c_0_30]),c_0_29])]) ).
cnf(c_0_71,negated_conjecture,
v1_funct_2(k2_waybel34(esk2_0,esk1_0,esk3_0),u1_struct_0(k7_lattice3(esk2_0)),u1_struct_0(k7_lattice3(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(spm,[status(thm)],[c_0_63,c_0_60]),c_0_61]),c_0_50]),c_0_51]),c_0_29]),c_0_30])]) ).
cnf(c_0_72,negated_conjecture,
v1_funct_2(esk3_0,u1_struct_0(k7_lattice3(esk1_0)),u1_struct_0(k7_lattice3(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(spm,[status(thm)],[c_0_63,c_0_26]),c_0_62]),c_0_27]),c_0_28]),c_0_30]),c_0_29])]) ).
cnf(c_0_73,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_34]),c_0_30])]) ).
cnf(c_0_74,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_33]),c_0_29])]) ).
cnf(c_0_75,plain,
( v17_waybel_0(k3_waybel34(X1,X2,X3),k7_lattice3(X1),k7_lattice3(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)
| ~ 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))
| ~ v18_waybel_0(X3,X1,X2)
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),k3_waybel34(esk1_0,esk2_0,esk3_0)) != k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_77,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1))
& v3_lattice3(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1))
& v2_yellow_0(k7_lattice3(X1))
& v3_yellow_0(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc7_yellow_7]) ).
cnf(c_0_78,plain,
( X4 = k1_waybel34(X1,X2,X3)
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X3,X4),X1,X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X1))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(X2)
| ~ v17_waybel_0(X3,X1,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))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_79,negated_conjecture,
v3_waybel_1(k1_waybel_1(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0,k2_waybel34(esk2_0,esk1_0,esk3_0)),k7_lattice3(esk1_0),k7_lattice3(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(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_68]),c_0_69]),c_0_70]),c_0_22]),c_0_48]),c_0_71]),c_0_72]),c_0_27]),c_0_50]),c_0_51]),c_0_28]),c_0_29]),c_0_30]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_73]),c_0_74]) ).
cnf(c_0_80,negated_conjecture,
v17_waybel_0(esk3_0,k7_lattice3(esk1_0),k7_lattice3(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(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_75,c_0_56]),c_0_62]),c_0_26]),c_0_27]),c_0_28]),c_0_30]),c_0_29]),c_0_58]),c_0_57]),c_0_32]),c_0_31]),c_0_34]),c_0_33]),c_0_36]),c_0_35]),c_0_38]),c_0_37]),c_0_40]),c_0_39])]) ).
cnf(c_0_81,negated_conjecture,
k1_waybel34(k7_lattice3(esk1_0),k7_lattice3(esk2_0),esk3_0) != k2_waybel34(esk2_0,esk1_0,esk3_0),
inference(rw,[status(thm)],[c_0_76,c_0_62]) ).
fof(c_0_82,plain,
! [X216] :
( ( ~ v3_struct_0(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v1_orders_2(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v1_lattice3(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v2_lattice3(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v3_lattice3(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v1_yellow_0(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v2_yellow_0(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) )
& ( v3_yellow_0(k7_lattice3(X216))
| v3_struct_0(X216)
| ~ v3_lattice3(X216)
| ~ l1_orders_2(X216) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_77])])]) ).
cnf(c_0_83,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v3_lattice3(k7_lattice3(esk2_0))
| ~ v3_lattice3(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(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_78,c_0_79]),c_0_80]),c_0_69]),c_0_70]),c_0_71]),c_0_72]),c_0_51]),c_0_28])]),c_0_81]) ).
cnf(c_0_84,plain,
( v3_lattice3(k7_lattice3(X1))
| v3_struct_0(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
fof(c_0_85,plain,
! [X1] :
( ( v1_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v2_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc6_yellow_7]) ).
cnf(c_0_86,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v3_lattice3(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_30]),c_0_58])]),c_0_73]) ).
fof(c_0_87,plain,
! [X213] :
( ( ~ v3_struct_0(k7_lattice3(X213))
| ~ v1_lattice3(X213)
| ~ l1_orders_2(X213) )
& ( v1_orders_2(k7_lattice3(X213))
| ~ v1_lattice3(X213)
| ~ l1_orders_2(X213) )
& ( v2_lattice3(k7_lattice3(X213))
| ~ v1_lattice3(X213)
| ~ l1_orders_2(X213) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])])]) ).
cnf(c_0_88,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk2_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_84]),c_0_29]),c_0_57])]),c_0_74]) ).
cnf(c_0_89,plain,
( v2_lattice3(k7_lattice3(X1))
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
fof(c_0_90,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
cnf(c_0_91,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_lattice3(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_30]),c_0_34])]) ).
fof(c_0_92,plain,
! [X210] :
( ( ~ v3_struct_0(k7_lattice3(X210))
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210) )
& ( v1_orders_2(k7_lattice3(X210))
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210) )
& ( v1_lattice3(k7_lattice3(X210))
| ~ v2_lattice3(X210)
| ~ l1_orders_2(X210) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])]) ).
cnf(c_0_93,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk2_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_89]),c_0_29]),c_0_33])]) ).
cnf(c_0_94,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_95,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v1_lattice3(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_30]),c_0_32])]) ).
fof(c_0_96,plain,
! [X195] :
( ( v1_orders_2(k7_lattice3(X195))
| ~ v3_orders_2(X195)
| ~ l1_orders_2(X195) )
& ( v3_orders_2(k7_lattice3(X195))
| ~ v3_orders_2(X195)
| ~ l1_orders_2(X195) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
cnf(c_0_97,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk2_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_94]),c_0_29]),c_0_31])]) ).
cnf(c_0_98,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v3_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_30]),c_0_38])]) ).
fof(c_0_100,plain,
! [X202] :
( ( v1_orders_2(k7_lattice3(X202))
| ~ v4_orders_2(X202)
| ~ l1_orders_2(X202) )
& ( v4_orders_2(k7_lattice3(X202))
| ~ v4_orders_2(X202)
| ~ l1_orders_2(X202) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
cnf(c_0_101,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk2_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_98]),c_0_29]),c_0_37])]) ).
cnf(c_0_102,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_103,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v4_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_30]),c_0_36])]) ).
fof(c_0_104,plain,
! [X187] :
( ( v1_orders_2(k7_lattice3(X187))
| ~ v2_orders_2(X187)
| ~ l1_orders_2(X187) )
& ( v2_orders_2(k7_lattice3(X187))
| ~ v2_orders_2(X187)
| ~ l1_orders_2(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
cnf(c_0_105,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk2_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_102]),c_0_29]),c_0_35])]) ).
cnf(c_0_106,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_107,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0))
| ~ v2_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_30]),c_0_40])]) ).
fof(c_0_108,plain,
! [X142] :
( ( v1_orders_2(k7_lattice3(X142))
| ~ l1_orders_2(X142) )
& ( l1_orders_2(k7_lattice3(X142))
| ~ l1_orders_2(X142) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
cnf(c_0_109,negated_conjecture,
( ~ l1_orders_2(k7_lattice3(esk2_0))
| ~ l1_orders_2(k7_lattice3(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_106]),c_0_29]),c_0_39])]) ).
cnf(c_0_110,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_111,negated_conjecture,
~ l1_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_30])]) ).
cnf(c_0_112,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_110]),c_0_29])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT355+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 07:02:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.98/1.07 % Version : CSE_E---1.5
% 0.98/1.07 % Problem : theBenchmark.p
% 0.98/1.07 % Proof found
% 0.98/1.07 % SZS status Theorem for theBenchmark.p
% 0.98/1.07 % SZS output start Proof
% See solution above
% 1.06/1.09 % Total time : 0.471000 s
% 1.06/1.09 % SZS output end Proof
% 1.06/1.09 % Total time : 0.482000 s
%------------------------------------------------------------------------------