TSTP Solution File: LAT357+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n029.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 06:02:00 EDT 2023
% Result : Theorem 3.67s 3.85s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 97
% Syntax : Number of formulae : 197 ( 50 unt; 86 typ; 0 def)
% Number of atoms : 775 ( 9 equ)
% Maximal formula atoms : 48 ( 6 avg)
% Number of connectives : 1057 ( 393 ~; 392 |; 208 &)
% ( 3 <=>; 61 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 122 ( 70 >; 52 *; 0 +; 0 <<)
% Number of predicates : 50 ( 48 usr; 1 prp; 0-3 aty)
% Number of functors : 38 ( 38 usr; 16 con; 0-5 aty)
% Number of variables : 169 ( 0 sgn; 98 !; 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,
v17_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
m2_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
k7_funct_2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
k1_waybel34: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
r2_hidden: ( $i * $i ) > $o ).
tff(decl_37,type,
v1_membered: $i > $o ).
tff(decl_38,type,
m1_subset_1: ( $i * $i ) > $o ).
tff(decl_39,type,
v1_xcmplx_0: $i > $o ).
tff(decl_40,type,
v3_struct_0: $i > $o ).
tff(decl_41,type,
v24_waybel_0: $i > $o ).
tff(decl_42,type,
v25_waybel_0: $i > $o ).
tff(decl_43,type,
v2_membered: $i > $o ).
tff(decl_44,type,
v1_xreal_0: $i > $o ).
tff(decl_45,type,
v1_yellow_0: $i > $o ).
tff(decl_46,type,
v3_membered: $i > $o ).
tff(decl_47,type,
v1_rat_1: $i > $o ).
tff(decl_48,type,
v2_yellow_0: $i > $o ).
tff(decl_49,type,
v3_yellow_0: $i > $o ).
tff(decl_50,type,
v4_membered: $i > $o ).
tff(decl_51,type,
v1_int_1: $i > $o ).
tff(decl_52,type,
v5_membered: $i > $o ).
tff(decl_53,type,
v4_ordinal2: $i > $o ).
tff(decl_54,type,
v1_xboole_0: $i > $o ).
tff(decl_55,type,
k1_zfmisc_1: $i > $i ).
tff(decl_56,type,
v1_finset_1: $i > $o ).
tff(decl_57,type,
k2_zfmisc_1: ( $i * $i ) > $i ).
tff(decl_58,type,
v1_relat_1: $i > $o ).
tff(decl_59,type,
v1_setfam_1: $i > $o ).
tff(decl_60,type,
m1_relset_1: ( $i * $i * $i ) > $o ).
tff(decl_61,type,
v22_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_62,type,
v5_orders_3: ( $i * $i * $i ) > $o ).
tff(decl_63,type,
v1_partfun1: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
v19_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
v2_funct_1: $i > $o ).
tff(decl_66,type,
v5_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
v18_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
v20_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
v21_waybel_0: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
k2_tarski: ( $i * $i ) > $i ).
tff(decl_71,type,
k1_waybel_1: ( $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
v3_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
k4_tarski: ( $i * $i ) > $i ).
tff(decl_74,type,
k1_tarski: $i > $i ).
tff(decl_75,type,
m1_waybel_1: ( $i * $i * $i ) > $o ).
tff(decl_76,type,
k5_relat_1: ( $i * $i ) > $i ).
tff(decl_77,type,
l1_struct_0: $i > $o ).
tff(decl_78,type,
k1_xboole_0: $i ).
tff(decl_79,type,
r1_tarski: ( $i * $i ) > $o ).
tff(decl_80,type,
epred1_1: $i > $o ).
tff(decl_81,type,
esk1_0: $i ).
tff(decl_82,type,
esk2_0: $i ).
tff(decl_83,type,
esk3_0: $i ).
tff(decl_84,type,
esk4_0: $i ).
tff(decl_85,type,
esk5_0: $i ).
tff(decl_86,type,
esk6_0: $i ).
tff(decl_87,type,
esk7_0: $i ).
tff(decl_88,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk9_1: $i > $i ).
tff(decl_90,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk12_0: $i ).
tff(decl_93,type,
esk13_0: $i ).
tff(decl_94,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk15_0: $i ).
tff(decl_96,type,
esk16_0: $i ).
tff(decl_97,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk19_0: $i ).
tff(decl_100,type,
esk20_0: $i ).
tff(decl_101,type,
esk21_1: $i > $i ).
tff(decl_102,type,
esk22_0: $i ).
tff(decl_103,type,
esk23_0: $i ).
tff(decl_104,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk25_1: $i > $i ).
tff(decl_106,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk27_1: $i > $i ).
fof(t8_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] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v17_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k1_waybel34(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X2,X3,X5),k1_waybel34(X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
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/sandbox2/benchmark/theBenchmark.p',d1_waybel34) ).
fof(dt_k1_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(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k1_waybel34(X1,X2,X3))
& v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_waybel34) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(t26_waybel20,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [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)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v17_waybel_0(X4,X1,X2)
& v17_waybel_0(X5,X2,X3) )
=> v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_waybel20) ).
fof(t7_waybel15,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] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [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)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel15) ).
fof(dt_k7_funct_2,axiom,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_2) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(c_0_10,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] :
( ( v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& v1_lattice3(X3)
& v2_lattice3(X3)
& v3_lattice3(X3)
& l1_orders_2(X3) )
=> ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X4,X1,X2)
& m2_relset_1(X4,u1_struct_0(X1),u1_struct_0(X2)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& v17_waybel_0(X5,X2,X3)
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> k1_waybel34(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5)) = k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),k1_waybel34(X2,X3,X5),k1_waybel34(X1,X2,X4)) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t8_waybel34]) ).
fof(c_0_11,plain,
! [X184,X185,X186] :
( ( ~ m2_relset_1(X186,X184,X185)
| m1_relset_1(X186,X184,X185) )
& ( ~ m1_relset_1(X186,X184,X185)
| m2_relset_1(X186,X184,X185) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_12,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)
& v2_orders_2(esk3_0)
& v3_orders_2(esk3_0)
& v4_orders_2(esk3_0)
& v1_lattice3(esk3_0)
& v2_lattice3(esk3_0)
& v3_lattice3(esk3_0)
& l1_orders_2(esk3_0)
& v1_funct_1(esk4_0)
& v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v17_waybel_0(esk4_0,esk1_0,esk2_0)
& m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0))
& v1_funct_1(esk5_0)
& v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& v17_waybel_0(esk5_0,esk2_0,esk3_0)
& m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0))
& k1_waybel34(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).
fof(c_0_13,plain,
! [X1] :
( epred1_1(X1)
<=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [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)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
introduced(definition) ).
fof(c_0_14,plain,
! [X80,X81,X82,X83] :
( ( X83 != k1_waybel34(X80,X81,X82)
| v3_waybel_1(k1_waybel_1(X80,X81,X82,X83),X80,X81)
| ~ v1_funct_1(X83)
| ~ v1_funct_2(X83,u1_struct_0(X81),u1_struct_0(X80))
| ~ m2_relset_1(X83,u1_struct_0(X81),u1_struct_0(X80))
| ~ v3_lattice3(X80)
| ~ v3_lattice3(X81)
| ~ v17_waybel_0(X82,X80,X81)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X80),u1_struct_0(X81))
| ~ m2_relset_1(X82,u1_struct_0(X80),u1_struct_0(X81))
| ~ v2_orders_2(X81)
| ~ v3_orders_2(X81)
| ~ v4_orders_2(X81)
| ~ v1_lattice3(X81)
| ~ v2_lattice3(X81)
| ~ l1_orders_2(X81)
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80) )
& ( ~ v3_waybel_1(k1_waybel_1(X80,X81,X82,X83),X80,X81)
| X83 = k1_waybel34(X80,X81,X82)
| ~ v1_funct_1(X83)
| ~ v1_funct_2(X83,u1_struct_0(X81),u1_struct_0(X80))
| ~ m2_relset_1(X83,u1_struct_0(X81),u1_struct_0(X80))
| ~ v3_lattice3(X80)
| ~ v3_lattice3(X81)
| ~ v17_waybel_0(X82,X80,X81)
| ~ v1_funct_1(X82)
| ~ v1_funct_2(X82,u1_struct_0(X80),u1_struct_0(X81))
| ~ m2_relset_1(X82,u1_struct_0(X80),u1_struct_0(X81))
| ~ v2_orders_2(X81)
| ~ v3_orders_2(X81)
| ~ v4_orders_2(X81)
| ~ v1_lattice3(X81)
| ~ v2_lattice3(X81)
| ~ l1_orders_2(X81)
| ~ v2_orders_2(X80)
| ~ v3_orders_2(X80)
| ~ v4_orders_2(X80)
| ~ v1_lattice3(X80)
| ~ v2_lattice3(X80)
| ~ l1_orders_2(X80) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_waybel34])])])]) ).
fof(c_0_15,plain,
! [X86,X87,X88] :
( ( v1_funct_1(k1_waybel34(X86,X87,X88))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X87)
| ~ v3_orders_2(X87)
| ~ v4_orders_2(X87)
| ~ v1_lattice3(X87)
| ~ v2_lattice3(X87)
| ~ l1_orders_2(X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X87))
| ~ m1_relset_1(X88,u1_struct_0(X86),u1_struct_0(X87)) )
& ( v1_funct_2(k1_waybel34(X86,X87,X88),u1_struct_0(X87),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X87)
| ~ v3_orders_2(X87)
| ~ v4_orders_2(X87)
| ~ v1_lattice3(X87)
| ~ v2_lattice3(X87)
| ~ l1_orders_2(X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X87))
| ~ m1_relset_1(X88,u1_struct_0(X86),u1_struct_0(X87)) )
& ( m2_relset_1(k1_waybel34(X86,X87,X88),u1_struct_0(X87),u1_struct_0(X86))
| ~ v2_orders_2(X86)
| ~ v3_orders_2(X86)
| ~ v4_orders_2(X86)
| ~ v1_lattice3(X86)
| ~ v2_lattice3(X86)
| ~ l1_orders_2(X86)
| ~ v2_orders_2(X87)
| ~ v3_orders_2(X87)
| ~ v4_orders_2(X87)
| ~ v1_lattice3(X87)
| ~ v2_lattice3(X87)
| ~ l1_orders_2(X87)
| ~ v1_funct_1(X88)
| ~ v1_funct_2(X88,u1_struct_0(X86),u1_struct_0(X87))
| ~ m1_relset_1(X88,u1_struct_0(X86),u1_struct_0(X87)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_waybel34])])]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
m2_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_18,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_19,plain,
! [X1] :
( epred1_1(X1)
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_orders_2(X3)
& v3_orders_2(X3)
& v4_orders_2(X3)
& l1_orders_2(X3) )
=> ! [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)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ! [X6] :
( ( v1_funct_1(X6)
& v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
& m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1)) )
=> ! [X7] :
( ( v1_funct_1(X7)
& v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
& m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2)) )
=> ( ( v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
& v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) )
=> v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3) ) ) ) ) ) ) ) ),
inference(split_equiv,[status(thm)],[c_0_13]) ).
cnf(c_0_20,plain,
( v3_waybel_1(k1_waybel_1(X2,X3,X4,X1),X2,X3)
| X1 != k1_waybel34(X2,X3,X4)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X1,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v17_waybel_0(X4,X2,X3)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X4,u1_struct_0(X2),u1_struct_0(X3))
| ~ 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_14]) ).
cnf(c_0_21,plain,
( m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,negated_conjecture,
m1_relset_1(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
v1_funct_2(esk5_0,u1_struct_0(esk2_0),u1_struct_0(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
v1_funct_1(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
v2_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v1_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v4_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
v3_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
v2_orders_2(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,plain,
( v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ 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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,plain,
( v1_funct_1(k1_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(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_39,plain,
! [X41] :
( ~ l1_orders_2(X41)
| ~ v1_lattice3(X41)
| ~ v3_struct_0(X41) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
cnf(c_0_40,negated_conjecture,
m2_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_41,plain,
! [X211,X212,X213,X214,X215,X216,X217] :
( ~ epred1_1(X211)
| v3_struct_0(X212)
| ~ v2_orders_2(X212)
| ~ v3_orders_2(X212)
| ~ v4_orders_2(X212)
| ~ l1_orders_2(X212)
| v3_struct_0(X213)
| ~ v2_orders_2(X213)
| ~ v3_orders_2(X213)
| ~ v4_orders_2(X213)
| ~ l1_orders_2(X213)
| ~ v1_funct_1(X214)
| ~ v1_funct_2(X214,u1_struct_0(X211),u1_struct_0(X212))
| ~ m2_relset_1(X214,u1_struct_0(X211),u1_struct_0(X212))
| ~ v1_funct_1(X215)
| ~ v1_funct_2(X215,u1_struct_0(X212),u1_struct_0(X213))
| ~ m2_relset_1(X215,u1_struct_0(X212),u1_struct_0(X213))
| ~ v1_funct_1(X216)
| ~ v1_funct_2(X216,u1_struct_0(X212),u1_struct_0(X211))
| ~ m2_relset_1(X216,u1_struct_0(X212),u1_struct_0(X211))
| ~ v1_funct_1(X217)
| ~ v1_funct_2(X217,u1_struct_0(X213),u1_struct_0(X212))
| ~ m2_relset_1(X217,u1_struct_0(X213),u1_struct_0(X212))
| ~ v3_waybel_1(k1_waybel_1(X211,X212,X214,X216),X211,X212)
| ~ v3_waybel_1(k1_waybel_1(X212,X213,X215,X217),X212,X213)
| v3_waybel_1(k1_waybel_1(X211,X213,k7_funct_2(u1_struct_0(X211),u1_struct_0(X212),u1_struct_0(X213),X214,X215),k7_funct_2(u1_struct_0(X213),u1_struct_0(X212),u1_struct_0(X211),X217,X216)),X211,X213) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
cnf(c_0_42,plain,
( v3_waybel_1(k1_waybel_1(X1,X2,X3,k1_waybel34(X1,X2,X3)),X1,X2)
| ~ m2_relset_1(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ v1_funct_2(k1_waybel34(X1,X2,X3),u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_funct_1(k1_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_20]) ).
cnf(c_0_43,negated_conjecture,
m2_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_44,negated_conjecture,
v17_waybel_0(esk5_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_45,negated_conjecture,
v1_funct_2(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_46,negated_conjecture,
v1_funct_1(k1_waybel34(esk2_0,esk3_0,esk5_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_38,c_0_22]),c_0_23]),c_0_24]),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])]) ).
cnf(c_0_47,negated_conjecture,
v3_lattice3(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_48,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_49,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
m1_relset_1(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_16,c_0_40]) ).
cnf(c_0_51,negated_conjecture,
v1_funct_2(esk4_0,u1_struct_0(esk1_0),u1_struct_0(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_52,negated_conjecture,
v1_funct_1(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_53,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_54,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_55,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_56,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_58,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_59,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& l1_orders_2(X3) )
=> ! [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)) )
=> ! [X5] :
( ( v1_funct_1(X5)
& v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
& m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3)) )
=> ( ( v17_waybel_0(X4,X1,X2)
& v17_waybel_0(X5,X2,X3) )
=> v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t26_waybel20]) ).
cnf(c_0_60,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| v3_waybel_1(k1_waybel_1(X1,X3,k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),k7_funct_2(u1_struct_0(X3),u1_struct_0(X2),u1_struct_0(X1),X7,X6)),X1,X3)
| ~ epred1_1(X1)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ l1_orders_2(X3)
| ~ 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))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v1_funct_1(X6)
| ~ v1_funct_2(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ m2_relset_1(X6,u1_struct_0(X2),u1_struct_0(X1))
| ~ v1_funct_1(X7)
| ~ v1_funct_2(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ m2_relset_1(X7,u1_struct_0(X3),u1_struct_0(X2))
| ~ v3_waybel_1(k1_waybel_1(X1,X2,X4,X6),X1,X2)
| ~ v3_waybel_1(k1_waybel_1(X2,X3,X5,X7),X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_61,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk2_0,esk3_0,esk5_0,k1_waybel34(esk2_0,esk3_0,esk5_0)),esk2_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(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_17]),c_0_43]),c_0_44]),c_0_45]),c_0_23]),c_0_46]),c_0_24]),c_0_25]),c_0_26]),c_0_47]),c_0_48]),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])]) ).
cnf(c_0_62,negated_conjecture,
~ v3_struct_0(esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_29]),c_0_25])]) ).
cnf(c_0_63,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_30]),c_0_26])]) ).
cnf(c_0_64,negated_conjecture,
m2_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_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_21,c_0_50]),c_0_51]),c_0_52]),c_0_26]),c_0_53]),c_0_28]),c_0_54]),c_0_30]),c_0_55]),c_0_32]),c_0_56]),c_0_34]),c_0_57]),c_0_36]),c_0_58])]) ).
cnf(c_0_65,negated_conjecture,
v17_waybel_0(esk4_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_66,negated_conjecture,
v1_funct_2(k1_waybel34(esk1_0,esk2_0,esk4_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_37,c_0_50]),c_0_51]),c_0_52]),c_0_26]),c_0_53]),c_0_28]),c_0_54]),c_0_30]),c_0_55]),c_0_32]),c_0_56]),c_0_34]),c_0_57]),c_0_36]),c_0_58])]) ).
cnf(c_0_67,negated_conjecture,
v1_funct_1(k1_waybel34(esk1_0,esk2_0,esk4_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_38,c_0_50]),c_0_51]),c_0_52]),c_0_26]),c_0_53]),c_0_28]),c_0_54]),c_0_30]),c_0_55]),c_0_32]),c_0_56]),c_0_34]),c_0_57]),c_0_36]),c_0_58])]) ).
cnf(c_0_68,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_69,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
=> epred1_1(X1) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_waybel15]),c_0_13]) ).
fof(c_0_70,plain,
! [X190,X191,X192,X193,X194] :
( v3_struct_0(X190)
| ~ l1_orders_2(X190)
| v3_struct_0(X191)
| ~ l1_orders_2(X191)
| v3_struct_0(X192)
| ~ l1_orders_2(X192)
| ~ v1_funct_1(X193)
| ~ v1_funct_2(X193,u1_struct_0(X190),u1_struct_0(X191))
| ~ m2_relset_1(X193,u1_struct_0(X190),u1_struct_0(X191))
| ~ v1_funct_1(X194)
| ~ v1_funct_2(X194,u1_struct_0(X191),u1_struct_0(X192))
| ~ m2_relset_1(X194,u1_struct_0(X191),u1_struct_0(X192))
| ~ v17_waybel_0(X193,X190,X191)
| ~ v17_waybel_0(X194,X191,X192)
| v17_waybel_0(k7_funct_2(u1_struct_0(X190),u1_struct_0(X191),u1_struct_0(X192),X193,X194),X190,X192) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
fof(c_0_71,plain,
! [X1,X2,X3,X4,X5] :
( ( ~ v1_xboole_0(X2)
& v1_funct_1(X4)
& v1_funct_2(X4,X1,X2)
& m1_relset_1(X4,X1,X2)
& v1_funct_1(X5)
& v1_funct_2(X5,X2,X3)
& m1_relset_1(X5,X2,X3) )
=> ( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
& v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
& m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3) ) ),
inference(fof_simplification,[status(thm)],[dt_k7_funct_2]) ).
cnf(c_0_72,plain,
( v3_waybel_1(k1_waybel_1(X1,esk3_0,k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(X1),k1_waybel34(esk2_0,esk3_0,esk5_0),X3)),X1,esk3_0)
| ~ epred1_1(X1)
| ~ v3_waybel_1(k1_waybel_1(X1,esk2_0,X2,X3),X1,esk2_0)
| ~ m2_relset_1(X3,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_2(X3,u1_struct_0(esk2_0),u1_struct_0(X1))
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_1(X3)
| ~ v1_funct_1(X2) ),
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(spm,[status(thm)],[c_0_60,c_0_61]),c_0_43]),c_0_17]),c_0_45]),c_0_23]),c_0_46]),c_0_24]),c_0_25]),c_0_26]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36])]),c_0_62]),c_0_63]) ).
cnf(c_0_73,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk1_0,esk2_0,esk4_0,k1_waybel34(esk1_0,esk2_0,esk4_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(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_40]),c_0_64]),c_0_65]),c_0_66]),c_0_51]),c_0_67]),c_0_52]),c_0_26]),c_0_53]),c_0_48]),c_0_68]),c_0_28]),c_0_54]),c_0_30]),c_0_55]),c_0_32]),c_0_56]),c_0_34]),c_0_57]),c_0_36]),c_0_58])]) ).
fof(c_0_74,plain,
! [X208] :
( v3_struct_0(X208)
| ~ v2_orders_2(X208)
| ~ v3_orders_2(X208)
| ~ v4_orders_2(X208)
| ~ l1_orders_2(X208)
| epred1_1(X208) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).
cnf(c_0_75,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(X2),u1_struct_0(X3),X4,X5),X1,X3)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ 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))
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ m2_relset_1(X5,u1_struct_0(X2),u1_struct_0(X3))
| ~ v17_waybel_0(X4,X1,X2)
| ~ v17_waybel_0(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X95,X96,X97,X98,X99] :
( ( v1_funct_1(k7_funct_2(X95,X96,X97,X98,X99))
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) )
& ( v1_funct_2(k7_funct_2(X95,X96,X97,X98,X99),X95,X97)
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) )
& ( m2_relset_1(k7_funct_2(X95,X96,X97,X98,X99),X95,X97)
| v1_xboole_0(X96)
| ~ v1_funct_1(X98)
| ~ v1_funct_2(X98,X95,X96)
| ~ m1_relset_1(X98,X95,X96)
| ~ v1_funct_1(X99)
| ~ v1_funct_2(X99,X96,X97)
| ~ m1_relset_1(X99,X96,X97) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_71])])]) ).
cnf(c_0_77,negated_conjecture,
( v3_waybel_1(k1_waybel_1(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0))),esk1_0,esk3_0)
| ~ epred1_1(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(spm,[status(thm)],[c_0_72,c_0_73]),c_0_64]),c_0_40]),c_0_66]),c_0_51]),c_0_67]),c_0_52])]) ).
cnf(c_0_78,plain,
( v3_struct_0(X1)
| epred1_1(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_79,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_55]),c_0_53])]) ).
cnf(c_0_80,negated_conjecture,
( v3_struct_0(X1)
| v17_waybel_0(k7_funct_2(u1_struct_0(X1),u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,esk3_0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v17_waybel_0(X2,X1,esk2_0)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(esk2_0))
| ~ v1_funct_1(X2)
| ~ l1_orders_2(X1) ),
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(spm,[status(thm)],[c_0_75,c_0_17]),c_0_44]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_62]),c_0_63]) ).
cnf(c_0_81,plain,
( m2_relset_1(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( v1_funct_1(k7_funct_2(X1,X2,X3,X4,X5))
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_83,negated_conjecture,
m1_relset_1(k1_waybel34(esk1_0,esk2_0,esk4_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_16,c_0_64]) ).
cnf(c_0_84,plain,
( v1_funct_2(k7_funct_2(X1,X2,X3,X4,X5),X1,X3)
| v1_xboole_0(X2)
| ~ v1_funct_1(X4)
| ~ v1_funct_2(X4,X1,X2)
| ~ m1_relset_1(X4,X1,X2)
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,X2,X3)
| ~ m1_relset_1(X5,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
fof(c_0_85,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
cnf(c_0_86,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_14]) ).
cnf(c_0_87,negated_conjecture,
v3_waybel_1(k1_waybel_1(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0))),esk1_0,esk3_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_77,c_0_78]),c_0_53]),c_0_56]),c_0_57]),c_0_58])]),c_0_79]) ).
cnf(c_0_88,negated_conjecture,
v17_waybel_0(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),esk1_0,esk3_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_80,c_0_40]),c_0_65]),c_0_51]),c_0_52]),c_0_53])]),c_0_79]) ).
cnf(c_0_89,negated_conjecture,
k1_waybel34(esk1_0,esk3_0,k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) != k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_90,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_91,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_92,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k1_waybel34(esk1_0,esk2_0,esk4_0)))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_66]),c_0_67])]) ).
cnf(c_0_93,negated_conjecture,
m1_relset_1(k1_waybel34(esk2_0,esk3_0,esk5_0),u1_struct_0(esk3_0),u1_struct_0(esk2_0)),
inference(spm,[status(thm)],[c_0_16,c_0_43]) ).
cnf(c_0_94,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk3_0),X2,esk5_0),X1,u1_struct_0(esk3_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_22]),c_0_23]),c_0_24])]) ).
cnf(c_0_95,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k1_waybel34(esk1_0,esk2_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_83]),c_0_66]),c_0_67])]) ).
cnf(c_0_96,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(X1,u1_struct_0(esk2_0),u1_struct_0(esk1_0),X2,k1_waybel34(esk1_0,esk2_0,esk4_0)),X1,u1_struct_0(esk1_0))
| ~ m1_relset_1(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_2(X2,X1,u1_struct_0(esk2_0))
| ~ v1_funct_1(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_83]),c_0_66]),c_0_67])]) ).
fof(c_0_97,plain,
! [X134] :
( v3_struct_0(X134)
| ~ l1_struct_0(X134)
| ~ v1_xboole_0(u1_struct_0(X134)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_85])]) ).
cnf(c_0_98,negated_conjecture,
( ~ m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0))
| ~ v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)))
| ~ v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]),c_0_25]),c_0_53]),c_0_47]),c_0_68]),c_0_27]),c_0_54]),c_0_29]),c_0_55]),c_0_31]),c_0_56]),c_0_33]),c_0_57]),c_0_35]),c_0_58])]),c_0_89]) ).
cnf(c_0_99,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_100,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_101,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_45]),c_0_46])]) ).
cnf(c_0_102,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk2_0),u1_struct_0(esk3_0),esk4_0,esk5_0),u1_struct_0(esk1_0),u1_struct_0(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_50]),c_0_51]),c_0_52])]) ).
cnf(c_0_103,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| v1_funct_2(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_93]),c_0_45]),c_0_46])]) ).
cnf(c_0_104,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| m2_relset_1(k7_funct_2(u1_struct_0(esk3_0),u1_struct_0(esk2_0),u1_struct_0(esk1_0),k1_waybel34(esk2_0,esk3_0,esk5_0),k1_waybel34(esk1_0,esk2_0,esk4_0)),u1_struct_0(esk3_0),u1_struct_0(esk1_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_93]),c_0_45]),c_0_46])]) ).
cnf(c_0_105,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,negated_conjecture,
v1_xboole_0(u1_struct_0(esk2_0)),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100]),c_0_101]),c_0_102]),c_0_103]),c_0_104]) ).
fof(c_0_107,plain,
! [X100] :
( ~ l1_orders_2(X100)
| l1_struct_0(X100) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
cnf(c_0_108,negated_conjecture,
~ l1_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_63]) ).
cnf(c_0_109,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_110,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.16 % Problem : LAT357+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.17 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.37 % Computer : n029.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8042.1875MB
% 0.11/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Aug 24 08:57:38 EDT 2023
% 0.11/0.37 % CPUTime :
% 0.17/0.59 start to proof: theBenchmark
% 3.67/3.85 % Version : CSE_E---1.5
% 3.67/3.85 % Problem : theBenchmark.p
% 3.67/3.85 % Proof found
% 3.67/3.85 % SZS status Theorem for theBenchmark.p
% 3.67/3.85 % SZS output start Proof
% See solution above
% 3.74/3.87 % Total time : 3.237000 s
% 3.74/3.87 % SZS output end Proof
% 3.74/3.87 % Total time : 3.242000 s
%------------------------------------------------------------------------------