TSTP Solution File: LAT370+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT370+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 : n027.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 06:02:10 EDT 2023
% Result : Theorem 0.86s 0.93s
% Output : CNFRefutation 0.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 120
% Syntax : Number of formulae : 194 ( 34 unt; 107 typ; 0 def)
% Number of atoms : 933 ( 11 equ)
% Maximal formula atoms : 168 ( 10 avg)
% Number of connectives : 1406 ( 560 ~; 568 |; 236 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 154 ( 91 >; 63 *; 0 +; 0 <<)
% Number of predicates : 63 ( 61 usr; 1 prp; 0-3 aty)
% Number of functors : 46 ( 46 usr; 16 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn; 76 !; 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,
v3_waybel_3: $i > $o ).
tff(decl_29,type,
l1_orders_2: $i > $o ).
tff(decl_30,type,
v1_funct_1: $i > $o ).
tff(decl_31,type,
u1_struct_0: $i > $i ).
tff(decl_32,type,
v1_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
v7_waybel_1: ( $i * $i ) > $o ).
tff(decl_34,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
k2_waybel_1: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
k2_yellow_2: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
v1_waybel34: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
v4_waybel_0: ( $i * $i ) > $o ).
tff(decl_39,type,
v1_orders_2: $i > $o ).
tff(decl_40,type,
u1_orders_2: $i > $i ).
tff(decl_41,type,
g1_orders_2: ( $i * $i ) > $i ).
tff(decl_42,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_43,type,
v1_membered: $i > $o ).
tff(decl_44,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_45,type,
v1_xcmplx_0: $i > $o ).
tff(decl_46,type,
v3_struct_0: $i > $o ).
tff(decl_47,type,
v24_waybel_0: $i > $o ).
tff(decl_48,type,
v25_waybel_0: $i > $o ).
tff(decl_49,type,
v2_membered: $i > $o ).
tff(decl_50,type,
v1_xreal_0: $i > $o ).
tff(decl_51,type,
v1_yellow_0: $i > $o ).
tff(decl_52,type,
m1_yellow_0: ( $i * $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,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_74,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_75,type,
v7_yellow_0: ( $i * $i ) > $o ).
tff(decl_76,type,
v3_waybel_0: ( $i * $i ) > $o ).
tff(decl_77,type,
v4_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_79,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
v2_funct_1: $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,
v8_waybel_1: ( $i * $i ) > $o ).
tff(decl_85,type,
v2_waybel_3: $i > $o ).
tff(decl_86,type,
v23_waybel_0: ( $i * $i * $i ) > $o ).
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,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
k2_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
l1_struct_0: $i > $o ).
tff(decl_93,type,
v2_funct_2: ( $i * $i * $i ) > $o ).
tff(decl_94,type,
k1_xboole_0: $i ).
tff(decl_95,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_96,type,
esk1_0: $i ).
tff(decl_97,type,
esk2_0: $i ).
tff(decl_98,type,
esk3_0: $i ).
tff(decl_99,type,
esk4_0: $i ).
tff(decl_100,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk6_1: $i > $i ).
tff(decl_102,type,
esk7_1: $i > $i ).
tff(decl_103,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk9_0: $i ).
tff(decl_105,type,
esk10_0: $i ).
tff(decl_106,type,
esk11_0: $i ).
tff(decl_107,type,
esk12_0: $i ).
tff(decl_108,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_109,type,
esk14_0: $i ).
tff(decl_110,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_111,type,
esk16_1: $i > $i ).
tff(decl_112,type,
esk17_1: $i > $i ).
tff(decl_113,type,
esk18_0: $i ).
tff(decl_114,type,
esk19_0: $i ).
tff(decl_115,type,
esk20_1: $i > $i ).
tff(decl_116,type,
esk21_1: $i > $i ).
tff(decl_117,type,
esk22_0: $i ).
tff(decl_118,type,
esk23_0: $i ).
tff(decl_119,type,
esk24_1: $i > $i ).
tff(decl_120,type,
esk25_0: $i ).
tff(decl_121,type,
esk26_0: $i ).
tff(decl_122,type,
esk27_1: $i > $i ).
tff(decl_123,type,
esk28_1: $i > $i ).
tff(decl_124,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_125,type,
esk30_1: $i > $i ).
tff(decl_126,type,
esk31_1: $i > $i ).
tff(decl_127,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_128,type,
esk33_1: $i > $i ).
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(t43_waybel34,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_waybel34) ).
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/sandbox/benchmark/theBenchmark.p',d17_waybel_1) ).
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/sandbox/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
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_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/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(cc3_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))
& v7_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/sandbox/benchmark/theBenchmark.p',cc3_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/sandbox/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(fc10_waybel10,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_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))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_waybel10) ).
fof(t39_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))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v18_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
& v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& k2_waybel34(k2_yellow_2(X1,X1,X2),X1,k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_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/sandbox/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(t40_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))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
<=> v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_waybel34) ).
fof(t25_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)
& v3_waybel_3(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)) )
=> ( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
=> v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_waybel34) ).
fof(c_0_13,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t43_waybel34]) ).
fof(c_0_15,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_16,plain,
! [X38] :
( ~ l1_orders_2(X38)
| ~ v1_lattice3(X38)
| ~ v3_struct_0(X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_17,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)
& v3_waybel_3(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))
& v7_waybel_1(esk2_0,esk1_0)
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0))
& ~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_18,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_19,plain,
! [X236,X237,X238] :
( ( ~ m2_relset_1(X238,X236,X237)
| m1_relset_1(X238,X236,X237) )
& ( ~ m1_relset_1(X238,X236,X237)
| m2_relset_1(X238,X236,X237) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_20,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_21,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))
& v7_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)],[cc3_waybel_1]) ).
fof(c_0_22,plain,
! [X102,X103,X104] :
( v3_struct_0(X102)
| ~ l1_orders_2(X102)
| v3_struct_0(X103)
| ~ l1_orders_2(X103)
| ~ v1_funct_1(X104)
| ~ v1_funct_2(X104,u1_struct_0(X102),u1_struct_0(X103))
| ~ m2_relset_1(X104,u1_struct_0(X102),u1_struct_0(X103))
| k3_waybel_1(X102,X103,X104) = k7_grcat_1(k2_yellow_2(X102,X103,X104)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_23,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X119,X120,X121] :
( ( v1_funct_1(k3_waybel_1(X119,X120,X121))
| v3_struct_0(X119)
| ~ l1_orders_2(X119)
| v3_struct_0(X120)
| ~ l1_orders_2(X120)
| ~ v1_funct_1(X121)
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120)) )
& ( v1_funct_2(k3_waybel_1(X119,X120,X121),u1_struct_0(k2_yellow_2(X119,X120,X121)),u1_struct_0(X120))
| v3_struct_0(X119)
| ~ l1_orders_2(X119)
| v3_struct_0(X120)
| ~ l1_orders_2(X120)
| ~ v1_funct_1(X121)
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120)) )
& ( m2_relset_1(k3_waybel_1(X119,X120,X121),u1_struct_0(k2_yellow_2(X119,X120,X121)),u1_struct_0(X120))
| v3_struct_0(X119)
| ~ l1_orders_2(X119)
| v3_struct_0(X120)
| ~ l1_orders_2(X120)
| ~ v1_funct_1(X121)
| ~ v1_funct_2(X121,u1_struct_0(X119),u1_struct_0(X120))
| ~ m1_relset_1(X121,u1_struct_0(X119),u1_struct_0(X120)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_27,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X116,X117,X118] :
( ( v1_orders_2(k2_yellow_2(X116,X117,X118))
| v3_struct_0(X116)
| ~ l1_orders_2(X116)
| v3_struct_0(X117)
| ~ l1_orders_2(X117)
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,u1_struct_0(X116),u1_struct_0(X117))
| ~ m1_relset_1(X118,u1_struct_0(X116),u1_struct_0(X117)) )
& ( v4_yellow_0(k2_yellow_2(X116,X117,X118),X117)
| v3_struct_0(X116)
| ~ l1_orders_2(X116)
| v3_struct_0(X117)
| ~ l1_orders_2(X117)
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,u1_struct_0(X116),u1_struct_0(X117))
| ~ m1_relset_1(X118,u1_struct_0(X116),u1_struct_0(X117)) )
& ( m1_yellow_0(k2_yellow_2(X116,X117,X118),X117)
| v3_struct_0(X116)
| ~ l1_orders_2(X116)
| v3_struct_0(X117)
| ~ l1_orders_2(X117)
| ~ v1_funct_1(X118)
| ~ v1_funct_2(X118,u1_struct_0(X116),u1_struct_0(X117))
| ~ m1_relset_1(X118,u1_struct_0(X116),u1_struct_0(X117)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_30,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_31,plain,
! [X71,X72] :
( ( v1_funct_1(X72)
| ~ v1_funct_1(X72)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| v3_struct_0(X71)
| ~ l1_orders_2(X71) )
& ( ~ v1_xboole_0(X72)
| ~ v1_funct_1(X72)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| v3_struct_0(X71)
| ~ l1_orders_2(X71) )
& ( v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| v3_struct_0(X71)
| ~ l1_orders_2(X71) )
& ( v1_partfun1(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v1_funct_1(X72)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| v3_struct_0(X71)
| ~ l1_orders_2(X71) )
& ( v6_waybel_1(X72,X71)
| ~ v1_funct_1(X72)
| ~ v1_funct_2(X72,u1_struct_0(X71),u1_struct_0(X71))
| ~ v7_waybel_1(X72,X71)
| ~ m1_relset_1(X72,u1_struct_0(X71),u1_struct_0(X71))
| v3_struct_0(X71)
| ~ l1_orders_2(X71) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_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))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel10]) ).
fof(c_0_33,plain,
! [X247,X248] :
( ( v18_waybel_0(k2_waybel_1(X247,X247,X248),X247,k2_yellow_2(X247,X247,X248))
| ~ v1_funct_1(X248)
| ~ v1_funct_2(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v7_waybel_1(X248,X247)
| ~ m2_relset_1(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v2_orders_2(X247)
| ~ v3_orders_2(X247)
| ~ v4_orders_2(X247)
| ~ v1_lattice3(X247)
| ~ v2_lattice3(X247)
| ~ v3_lattice3(X247)
| ~ l1_orders_2(X247) )
& ( v17_waybel_0(k3_waybel_1(X247,X247,X248),k2_yellow_2(X247,X247,X248),X247)
| ~ v1_funct_1(X248)
| ~ v1_funct_2(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v7_waybel_1(X248,X247)
| ~ m2_relset_1(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v2_orders_2(X247)
| ~ v3_orders_2(X247)
| ~ v4_orders_2(X247)
| ~ v1_lattice3(X247)
| ~ v2_lattice3(X247)
| ~ v3_lattice3(X247)
| ~ l1_orders_2(X247) )
& ( k2_waybel34(k2_yellow_2(X247,X247,X248),X247,k2_waybel_1(X247,X247,X248)) = k3_waybel_1(X247,X247,X248)
| ~ v1_funct_1(X248)
| ~ v1_funct_2(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v7_waybel_1(X248,X247)
| ~ m2_relset_1(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v2_orders_2(X247)
| ~ v3_orders_2(X247)
| ~ v4_orders_2(X247)
| ~ v1_lattice3(X247)
| ~ v2_lattice3(X247)
| ~ v3_lattice3(X247)
| ~ l1_orders_2(X247) )
& ( k1_waybel34(k2_yellow_2(X247,X247,X248),X247,k3_waybel_1(X247,X247,X248)) = k2_waybel_1(X247,X247,X248)
| ~ v1_funct_1(X248)
| ~ v1_funct_2(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v7_waybel_1(X248,X247)
| ~ m2_relset_1(X248,u1_struct_0(X247),u1_struct_0(X247))
| ~ v2_orders_2(X247)
| ~ v3_orders_2(X247)
| ~ v4_orders_2(X247)
| ~ v1_lattice3(X247)
| ~ v2_lattice3(X247)
| ~ v3_lattice3(X247)
| ~ l1_orders_2(X247) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_waybel34])])])]) ).
cnf(c_0_34,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_22]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_38,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_26]) ).
cnf(c_0_39,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_40,plain,
! [X126,X127] :
( ~ l1_orders_2(X126)
| ~ m1_yellow_0(X127,X126)
| l1_orders_2(X127) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])]) ).
cnf(c_0_41,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_29]) ).
fof(c_0_42,plain,
! [X146,X147] :
( ( ~ v3_struct_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v1_orders_2(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v2_orders_2(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v3_orders_2(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v4_orders_2(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v1_yellow_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v2_yellow_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v3_yellow_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v4_yellow_0(k2_yellow_2(X146,X146,X147),X146)
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v24_waybel_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v25_waybel_0(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v1_lattice3(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v2_lattice3(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) )
& ( v3_lattice3(k2_yellow_2(X146,X146,X147))
| ~ v2_orders_2(X146)
| ~ v3_orders_2(X146)
| ~ v4_orders_2(X146)
| ~ v1_lattice3(X146)
| ~ v2_lattice3(X146)
| ~ v3_lattice3(X146)
| ~ l1_orders_2(X146)
| ~ v1_funct_1(X147)
| ~ v1_funct_2(X147,u1_struct_0(X146),u1_struct_0(X146))
| ~ v6_waybel_1(X147,X146)
| ~ m1_relset_1(X147,u1_struct_0(X146),u1_struct_0(X146)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_43,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))
| ~ v7_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_31]) ).
cnf(c_0_44,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_45,plain,
! [X144,X145] :
( ( ~ v3_struct_0(k2_yellow_2(X144,X144,X145))
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v1_orders_2(k2_yellow_2(X144,X144,X145))
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v2_orders_2(k2_yellow_2(X144,X144,X145))
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v3_orders_2(k2_yellow_2(X144,X144,X145))
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v4_orders_2(k2_yellow_2(X144,X144,X145))
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v4_yellow_0(k2_yellow_2(X144,X144,X145),X144)
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v5_yellow_0(k2_yellow_2(X144,X144,X145),X144)
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v7_yellow_0(k2_yellow_2(X144,X144,X145),X144)
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) )
& ( v3_waybel_0(k2_yellow_2(X144,X144,X145),X144)
| v3_struct_0(X144)
| ~ v2_orders_2(X144)
| ~ v3_orders_2(X144)
| ~ v4_orders_2(X144)
| ~ l1_orders_2(X144)
| ~ v1_funct_1(X145)
| ~ v1_funct_2(X145,u1_struct_0(X144),u1_struct_0(X144))
| ~ v7_waybel_1(X145,X144)
| ~ m1_relset_1(X145,u1_struct_0(X144),u1_struct_0(X144)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_46,plain,
! [X251,X252] :
( ( ~ v4_waybel_0(k2_yellow_2(X251,X251,X252),X251)
| v22_waybel_0(k3_waybel_1(X251,X251,X252),k2_yellow_2(X251,X251,X252),X251)
| ~ v1_funct_1(X252)
| ~ v1_funct_2(X252,u1_struct_0(X251),u1_struct_0(X251))
| ~ v7_waybel_1(X252,X251)
| ~ m2_relset_1(X252,u1_struct_0(X251),u1_struct_0(X251))
| ~ v2_orders_2(X251)
| ~ v3_orders_2(X251)
| ~ v4_orders_2(X251)
| ~ v1_lattice3(X251)
| ~ v2_lattice3(X251)
| ~ v3_lattice3(X251)
| ~ l1_orders_2(X251) )
& ( ~ v22_waybel_0(k3_waybel_1(X251,X251,X252),k2_yellow_2(X251,X251,X252),X251)
| v4_waybel_0(k2_yellow_2(X251,X251,X252),X251)
| ~ v1_funct_1(X252)
| ~ v1_funct_2(X252,u1_struct_0(X251),u1_struct_0(X251))
| ~ v7_waybel_1(X252,X251)
| ~ m2_relset_1(X252,u1_struct_0(X251),u1_struct_0(X251))
| ~ v2_orders_2(X251)
| ~ v3_orders_2(X251)
| ~ v4_orders_2(X251)
| ~ v1_lattice3(X251)
| ~ v2_lattice3(X251)
| ~ v3_lattice3(X251)
| ~ l1_orders_2(X251) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_waybel34])])])]) ).
fof(c_0_47,plain,
! [X242,X243,X244] :
( ~ v2_orders_2(X242)
| ~ v3_orders_2(X242)
| ~ v4_orders_2(X242)
| ~ v1_lattice3(X242)
| ~ v2_lattice3(X242)
| ~ v3_lattice3(X242)
| ~ l1_orders_2(X242)
| ~ v2_orders_2(X243)
| ~ v3_orders_2(X243)
| ~ v4_orders_2(X243)
| ~ v1_lattice3(X243)
| ~ v2_lattice3(X243)
| ~ v3_lattice3(X243)
| ~ v3_waybel_3(X243)
| ~ l1_orders_2(X243)
| ~ v1_funct_1(X244)
| ~ v1_funct_2(X244,u1_struct_0(X242),u1_struct_0(X243))
| ~ v17_waybel_0(X244,X242,X243)
| ~ m2_relset_1(X244,u1_struct_0(X242),u1_struct_0(X243))
| ~ v1_waybel34(k1_waybel34(X242,X243,X244),X243,X242)
| v22_waybel_0(X244,X242,X243) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_waybel34])])]) ).
cnf(c_0_48,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_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_33]) ).
cnf(c_0_49,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_34,c_0_28]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_50,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_51,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_54,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_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_33]) ).
cnf(c_0_56,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_26]) ).
cnf(c_0_57,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_26]) ).
cnf(c_0_58,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_38,c_0_39]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_59,plain,
( l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ m1_yellow_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,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_41,c_0_39]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_61,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_42]) ).
cnf(c_0_62,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_43,c_0_44]),c_0_39]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_63,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_42]) ).
cnf(c_0_64,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_42]) ).
cnf(c_0_65,plain,
( v4_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_66,plain,
( v3_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
( v2_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68,plain,
( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_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_46]) ).
cnf(c_0_69,negated_conjecture,
~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_70,plain,
( v22_waybel_0(X3,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)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v3_lattice3(X2)
| ~ v3_waybel_3(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))
| ~ v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71,negated_conjecture,
k1_waybel34(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0))) = k2_waybel_1(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_48,c_0_28]),c_0_49]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_72,negated_conjecture,
v17_waybel_0(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),k2_yellow_2(esk1_0,esk1_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(spm,[status(thm)],[c_0_55,c_0_28]),c_0_49]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_73,negated_conjecture,
v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_74,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_56,c_0_39]),c_0_49]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_75,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_57,c_0_39]),c_0_49]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_76,negated_conjecture,
v1_funct_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_77,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_59,c_0_60]),c_0_25])]) ).
cnf(c_0_78,negated_conjecture,
v3_waybel_3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_79,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_61,c_0_62]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_80,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_63,c_0_62]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_81,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_64,c_0_62]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_82,negated_conjecture,
v4_orders_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_44]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_83,negated_conjecture,
v3_orders_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_84,negated_conjecture,
v2_orders_2(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_44]),c_0_39]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_85,negated_conjecture,
~ v22_waybel_0(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_28]),c_0_49]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]),c_0_69]) ).
cnf(c_0_86,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(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_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_25]),c_0_77]),c_0_78]),c_0_50]),c_0_79]),c_0_51]),c_0_80]),c_0_24]),c_0_81]),c_0_52]),c_0_82]),c_0_53]),c_0_83]),c_0_54]),c_0_84])]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT370+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 05:41:47 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 0.86/0.93 % Version : CSE_E---1.5
% 0.86/0.93 % Problem : theBenchmark.p
% 0.86/0.93 % Proof found
% 0.86/0.93 % SZS status Theorem for theBenchmark.p
% 0.86/0.93 % SZS output start Proof
% See solution above
% 0.86/0.95 % Total time : 0.347000 s
% 0.86/0.95 % SZS output end Proof
% 0.86/0.95 % Total time : 0.357000 s
%------------------------------------------------------------------------------