%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP003^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 : Wed Feb 25 08:53:02 AM UTC 2026
% Result : Theorem 22.16s 5.34s
% Output : Refutation 22.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 26
% Syntax : Number of formulae : 133 ( 61 unt; 0 typ; 4 def)
% Number of atoms : 416 ( 181 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 1006 ( 86 ~; 70 |; 17 &; 809 @)
% ( 18 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 137 ( 134 usr; 38 con; 0-4 aty)
% Number of variables : 167 ( 0 ^; 150 !; 17 ?; 167 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $tType ).
thf(type_def_9,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(func_def_0,type,
u: $tType ).
thf(func_def_1,type,
d: $tType ).
thf(func_def_2,type,
du: $tType ).
thf(func_def_3,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(func_def_4,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_5,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_6,type,
tyop_2Enum_2Enum: d ).
thf(func_def_7,type,
s: d > u > du ).
thf(func_def_8,type,
app_2E2: du > du > u ).
thf(func_def_9,type,
combin_i_2E0: u ).
thf(func_def_10,type,
combin_k_2E0: u ).
thf(func_def_11,type,
combin_s_2E0: u ).
thf(func_def_12,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_13,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_14,type,
c_2Earithmetic_2E_2A_2E0: u ).
thf(func_def_15,type,
c_2Earithmetic_2E_2A_2E2: du > du > u ).
thf(func_def_16,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(func_def_17,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(func_def_18,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_20,type,
c_2Enum_2E0_2E0: u ).
thf(func_def_21,type,
c_2Eprim__rec_2E_3C_2E0: u ).
thf(func_def_22,type,
c_2Eprim__rec_2E_3C_2E2: du > du > u ).
thf(func_def_23,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_24,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_25,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_26,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_27,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_28,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_29,type,
c_2Earithmetic_2EBIT1_2E0: u ).
thf(func_def_30,type,
c_2Earithmetic_2EBIT1_2E1: du > u ).
thf(func_def_31,type,
c_2Earithmetic_2EBIT2_2E0: u ).
thf(func_def_32,type,
c_2Earithmetic_2EBIT2_2E1: du > u ).
thf(func_def_33,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_34,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_35,type,
c_2Earithmetic_2EEVEN_2E0: u ).
thf(func_def_36,type,
c_2Earithmetic_2EEVEN_2E1: du > u ).
thf(func_def_37,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_38,type,
c_2Earithmetic_2EMOD_2E0: u ).
thf(func_def_39,type,
c_2Earithmetic_2EMOD_2E2: du > du > u ).
thf(func_def_40,type,
c_2Earithmetic_2ENUMERAL_2E0: u ).
thf(func_def_41,type,
c_2Earithmetic_2ENUMERAL_2E1: du > u ).
thf(func_def_42,type,
c_2Earithmetic_2EODD_2E0: u ).
thf(func_def_43,type,
c_2Earithmetic_2EODD_2E1: du > u ).
thf(func_def_44,type,
c_2Enum_2ESUC_2E0: u ).
thf(func_def_45,type,
c_2Enum_2ESUC_2E1: du > u ).
thf(func_def_46,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_47,type,
c_2Earithmetic_2EZERO_2E0: u ).
thf(func_def_48,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_49,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_50,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_51,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_52,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_53,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_54,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).
thf(func_def_55,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_56,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_57,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_58,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_59,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_60,type,
mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_61,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_62,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_63,type,
mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
thf(func_def_64,type,
mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_65,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_66,type,
mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_67,type,
mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_68,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).
thf(func_def_69,type,
mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_70,type,
mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_72,type,
mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_73,type,
mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_74,type,
mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_75,type,
mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_77,type,
mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).
thf(func_def_78,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_79,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_80,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_81,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_82,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_83,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).
thf(func_def_84,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_85,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_86,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_87,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_88,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_89,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(func_def_90,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_91,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_92,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_93,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).
thf(func_def_94,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_95,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_96,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_97,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_98,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_99,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(func_def_110,type,
sP0: $o > $o > $o > $o ).
thf(func_def_111,type,
sP1: $o > $o > $o > $o ).
thf(func_def_112,type,
sP2: $o > $o > $o > $o ).
thf(func_def_113,type,
sP3: $o > $o > $o > $o ).
thf(func_def_114,type,
sP4: $o > $o > $o > $o ).
thf(func_def_115,type,
sP5: $o > $o > $o > $o ).
thf(func_def_116,type,
sP6: $o > $o > $o > $o ).
thf(func_def_117,type,
sP7: $o > $o > $o > $o ).
thf(func_def_118,type,
sP8: $o > $o > $o > $o ).
thf(func_def_119,type,
sP9: $o > $o > $o > $o ).
thf(func_def_120,type,
sK10: d > $o > u > u ).
thf(func_def_121,type,
sK11: d > u > u ).
thf(func_def_122,type,
sK12: u > $o > d > u ).
thf(func_def_123,type,
sK13: u > d > u ).
thf(func_def_124,type,
sK14: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_125,type,
sK15: mono_2Etyop_2Enum_2Enum ).
thf(func_def_126,type,
sK16: u > $o > d > u ).
thf(func_def_127,type,
sK17: u > d > u ).
thf(func_def_128,type,
sK18: u > $o > d > u ).
thf(func_def_129,type,
sK19: u > d > u ).
thf(func_def_130,type,
sK20: d > u > d > u > u ).
thf(func_def_131,type,
sK21: d > u > u ).
thf(func_def_132,type,
sK22: d > u > u ).
thf(func_def_133,type,
sK23: d > u > u > u ).
thf(func_def_134,type,
sK24: u > d > $o > u ).
thf(func_def_135,type,
sK25: u > d > u ).
thf(func_def_136,type,
sK26: d > u > u ).
thf(func_def_137,type,
sK27: d > $o > u > u ).
thf(func_def_138,type,
sK28: u > d > u > d > u ).
thf(func_def_139,type,
sK29: u > d > u > d > u ).
thf(func_def_140,type,
sK30: d > u > d > u ).
thf(func_def_141,type,
sK31: d > u > d > u ).
thf(func_def_142,type,
sK32: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_144,type,
ph34:
!>[X0: $tType] : X0 ).
thf(f3328,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f2356,f2368,f3313,f3320,f3327]) ).
thf(f3327,plain,
~ spl33_32,
inference(avatar_contradiction_clause,[status(thm)],[f3326]) ).
thf(f3326,plain,
( $false
| ~ spl33_32 ),
inference(subsumption_resolution,[status(thm)],[f3325,f3312]) ).
thf(f3312,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
= $true )
| ~ spl33_32 ),
inference(avatar_component_clause,[status(thm)],[f3310]) ).
thf(f3310,definition,
( spl33_32
<=> ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl33_32])],[avatar_definition]) ).
thf(f3325,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
!= $true )
| ~ spl33_32 ),
inference(trivial_inequality_removal,[status(thm)],[f3324]) ).
thf(f3324,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
!= $true )
| ( mono_2Ec_2Enum_2E0 != mono_2Ec_2Enum_2E0 )
| ~ spl33_32 ),
inference(superposition,[status(thm)],[f3322,f1488]) ).
thf(f1488,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2E0
= ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ),
inference(subsumption_resolution,[status(thm)],[f1485,f1111]) ).
thf(f1111,plain,
( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= $true ),
inference(superposition,[status(thm)],[f503,f1110]) ).
thf(f1110,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ),
inference(forward_demodulation,[status(thm)],[f692,f723]) ).
thf(f723,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
thf(f58,axiom,
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EONE) ).
thf(f692,plain,
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
thf(f59,axiom,
( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
= ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2ETWO) ).
thf(f503,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ X0 ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f189]) ).
thf(f189,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ X0 ) )
= $true ),
inference(fool_elimination,[status(thm)],[f188]) ).
thf(f188,plain,
! [X0: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ X0 ) ),
inference(rectify,[status(thm)],[f99]) ).
thf(f99,axiom,
! [X20: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ X20 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Eprim__rec_2ELESS__0) ).
thf(f1485,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= $true )
| ( mono_2Ec_2Enum_2E0
= ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
inference(superposition,[status(thm)],[f1114,f1115]) ).
thf(f1115,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2A @ ( sK32 @ X0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f456,f689]) ).
thf(f689,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK32 @ X0 ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
thf(f432,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true )
| ! [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
!= X0 ) )
& ( ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK32 @ X0 ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f430,f431]) ).
thf(f431,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ? [X2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X2 )
= X0 )
=> ( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK32 @ X0 ) )
= X0 ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f430,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true )
| ! [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
!= X0 ) )
& ( ? [X2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X2 )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ) ),
inference(rectify,[status(thm)],[f429]) ).
thf(f429,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true )
| ! [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
!= X0 ) )
& ( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
!= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f149]) ).
thf(f149,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true )
<=> ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
= X0 ) ),
inference(fool_elimination,[status(thm)],[f148]) ).
thf(f148,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 )
= X0 )
<=> ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) ),
inference(rectify,[status(thm)],[f66]) ).
thf(f66,axiom,
! [X20: mono_2Etyop_2Enum_2Enum] :
( ? [X21: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X21 )
= X20 )
<=> ( mono_2Ec_2Earithmetic_2EEVEN @ X20 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EEVEN__EXISTS) ).
thf(f456,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ X1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1 ) ),
inference(cnf_transformation,[status(thm)],[f245]) ).
thf(f245,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ X1 @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f63]) ).
thf(f63,axiom,
! [X19: mono_2Etyop_2Enum_2Enum,X18: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2A @ X18 @ X19 )
= ( mono_2Ec_2Earithmetic_2E_2A @ X19 @ X18 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMULT__COMM) ).
thf(f1114,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2E0
= ( mono_2Ec_2Earithmetic_2EMOD @ ( mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1 ) @ X1 ) )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X1 )
!= $true ) ),
inference(superposition,[status(thm)],[f830,f489]) ).
thf(f489,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0 )
= X0 ),
inference(cnf_transformation,[status(thm)],[f237]) ).
thf(f237,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0 )
= X0 ),
inference(rectify,[status(thm)],[f60]) ).
thf(f60,axiom,
! [X18: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ X18 @ mono_2Ec_2Enum_2E0 )
= X18 ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EADD__0) ).
thf(f830,plain,
! [X3: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EMOD @ ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1 ) @ X0 ) @ X1 )
= X0 )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
!= $true ) ),
inference(equality_resolution,[status(thm)],[f514]) ).
thf(f514,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1 ) @ X0 )
!= X2 )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
!= $true )
| ( ( mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1 )
= X0 ) ),
inference(cnf_transformation,[status(thm)],[f287]) ).
thf(f287,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ! [X3: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1 ) @ X0 )
!= X2 )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
!= $true ) )
| ( ( mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1 )
= X0 ) ),
inference(ennf_transformation,[status(thm)],[f199]) ).
thf(f199,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ? [X3: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1 ) @ X0 )
= X2 )
& ( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
= $true ) )
=> ( ( mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1 )
= X0 ) ),
inference(fool_elimination,[status(thm)],[f198]) ).
thf(f198,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ? [X3: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1 )
& ( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1 ) @ X0 )
= X2 ) )
=> ( ( mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1 )
= X0 ) ),
inference(rectify,[status(thm)],[f68]) ).
thf(f68,axiom,
! [X23: mono_2Etyop_2Enum_2Enum,X20: mono_2Etyop_2Enum_2Enum,X22: mono_2Etyop_2Enum_2Enum] :
( ? [X24: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ X23 @ X20 )
& ( ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ X24 @ X20 ) @ X23 )
= X22 ) )
=> ( ( mono_2Ec_2Earithmetic_2EMOD @ X22 @ X20 )
= X23 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMOD__UNIQUE) ).
thf(f3322,plain,
( ( mono_2Ec_2Enum_2E0
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ~ spl33_32 ),
inference(forward_demodulation,[status(thm)],[f3321,f2720]) ).
thf(f2720,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1 )
= X0 ),
inference(forward_demodulation,[status(thm)],[f2707,f449]) ).
thf(f449,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(cnf_transformation,[status(thm)],[f261]) ).
thf(f261,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) )
= X0 ),
inference(rectify,[status(thm)],[f31]) ).
thf(f31,axiom,
! [X8: mono_2Etyop_2Enum_2Enum] :
( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X8 ) ) )
= X8 ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ji_2Emono_2Etyop_2Enum_2Enum) ).
thf(f2707,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1 )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ),
inference(superposition,[status(thm)],[f449,f1159]) ).
thf(f1159,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1 ) ) ) ),
inference(superposition,[status(thm)],[f771,f651]) ).
thf(f651,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X0: $o,X1: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X2 @ X1 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f239]) ).
thf(f239,plain,
! [X0: $o,X1: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f49]) ).
thf(f49,axiom,
! [X8: $o,X17: mono_2Etyop_2Enum_2Enum,X9: mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X8 @ X9 @ X17 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X8 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X9 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X17 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum) ).
thf(f771,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X2 ) ),
inference(definition_unfolding,[status(thm)],[f648,f459]) ).
thf(f459,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[status(thm)],[f223]) ).
thf(f223,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[status(thm)],[f222]) ).
thf(f222,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[status(thm)],[f70]) ).
thf(f70,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ETRUTH) ).
thf(f648,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X2 ) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
thf(f255,plain,
! [X0: u,X1: d,X2: u] :
( ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X2 ) )
& ( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X0 ) ) ),
inference(rectify,[status(thm)],[f83]) ).
thf(f83,axiom,
! [X29: u,X0: d,X28: u] :
( ( ( s @ X0 @ X28 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X28 ) @ ( s @ X0 @ X29 ) ) ) )
& ( ( s @ X0 @ X29 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X28 ) @ ( s @ X0 @ X29 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ECOND__CLAUSES) ).
thf(f3321,plain,
( ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ~ spl33_32 ),
inference(backward_demodulation,[status(thm)],[f1105,f3312]) ).
thf(f1105,plain,
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(forward_demodulation,[status(thm)],[f463,f723]) ).
thf(f463,plain,
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(cnf_transformation,[status(thm)],[f333]) ).
thf(f333,plain,
( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f288,f332]) ).
thf(f332,plain,
( ? [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
=> ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f288,plain,
? [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(ennf_transformation,[status(thm)],[f226]) ).
thf(f226,plain,
~ ! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(rectify,[status(thm)],[f116]) ).
thf(f116,negated_conjecture,
~ ! [X20: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD @ X20 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ X20 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(negated_conjecture,[status(cth)],[f115]) ).
thf(f115,conjecture,
! [X20: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EMOD @ X20 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ X20 ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMOD__2) ).
thf(f3320,plain,
( spl33_32
| ~ spl33_16
| spl33_31 ),
inference(avatar_split_clause,[status(thm)],[f3319,f3306,f2354,f3310]) ).
thf(f2354,definition,
( spl33_16
<=> ! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) ) ),
introduced(definition,[new_symbols(naming,[spl33_16])],[avatar_definition]) ).
thf(f3306,definition,
( spl33_31
<=> ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
introduced(definition,[new_symbols(naming,[spl33_31])],[avatar_definition]) ).
thf(f3319,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
= $true )
| ~ spl33_16
| spl33_31 ),
inference(trivial_inequality_removal,[status(thm)],[f3318]) ).
thf(f3318,plain,
( ( $true != $true )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
= $true )
| ~ spl33_16
| spl33_31 ),
inference(superposition,[status(thm)],[f3316,f974]) ).
thf(f974,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
= $true )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f973]) ).
thf(f973,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( $false
= ( ~ ( mono_2Ec_2Earithmetic_2EODD @ X0 ) ) )
| ( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f722]) ).
thf(f722,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ~ ( mono_2Ec_2Earithmetic_2EODD @ X0 ) )
= ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f125]) ).
thf(f125,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ~ ( mono_2Ec_2Earithmetic_2EODD @ X0 ) )
= ( mono_2Ec_2Earithmetic_2EEVEN @ X0 ) ),
inference(fool_elimination,[status(thm)],[f124]) ).
thf(f124,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEVEN @ X0 )
<=> ~ ( mono_2Ec_2Earithmetic_2EODD @ X0 ) ),
inference(rectify,[status(thm)],[f64]) ).
thf(f64,axiom,
! [X20: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2EEVEN @ X20 )
<=> ~ ( mono_2Ec_2Earithmetic_2EODD @ X20 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EEVEN__ODD) ).
thf(f3316,plain,
( ( $true
!= ( mono_2Ec_2Earithmetic_2EODD @ sK15 ) )
| ~ spl33_16
| spl33_31 ),
inference(trivial_inequality_removal,[status(thm)],[f3314]) ).
thf(f3314,plain,
( ( $true
!= ( mono_2Ec_2Earithmetic_2EODD @ sK15 ) )
| ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
!= ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
| ~ spl33_16
| spl33_31 ),
inference(superposition,[status(thm)],[f3308,f2355]) ).
thf(f2355,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) )
| ~ spl33_16 ),
inference(avatar_component_clause,[status(thm)],[f2354]) ).
thf(f3308,plain,
( ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| spl33_31 ),
inference(avatar_component_clause,[status(thm)],[f3306]) ).
thf(f3313,plain,
( ~ spl33_31
| spl33_32 ),
inference(avatar_split_clause,[status(thm)],[f3304,f3310,f3306]) ).
thf(f3304,plain,
( ( ( mono_2Ec_2Earithmetic_2EEVEN @ sK15 )
= $true )
| ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
!= ( mono_2Ec_2Earithmetic_2EMOD @ sK15 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ),
inference(superposition,[status(thm)],[f1105,f3300]) ).
thf(f3300,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X0: $o,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 )
= X2 )
| ( $true = X0 ) ),
inference(forward_demodulation,[status(thm)],[f3286,f449]) ).
thf(f3286,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X0: $o,X1: mono_2Etyop_2Enum_2Enum] :
( ( $true = X0 )
| ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 )
= ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ),
inference(superposition,[status(thm)],[f449,f1483]) ).
thf(f1483,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X0: $o,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) )
| ( $true = X0 ) ),
inference(forward_demodulation,[status(thm)],[f1461,f966]) ).
thf(f966,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X0 ) ),
inference(boolean_simplification,[status(thm)],[f772]) ).
thf(f772,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ~ $true ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X0 ) ),
inference(definition_unfolding,[status(thm)],[f647,f724]) ).
thf(f724,plain,
( mono_2Ec_2Ebool_2EF = ( ~ $true ) ),
inference(definition_unfolding,[status(thm)],[f614,f459]) ).
thf(f614,plain,
( mono_2Ec_2Ebool_2EF = ( ~ mono_2Ec_2Ebool_2ET ) ),
inference(cnf_transformation,[status(thm)],[f159]) ).
thf(f159,plain,
( ! [X0: $o] :
( ( ~ ~ X0 )
= X0 )
& ( mono_2Ec_2Ebool_2EF = ( ~ mono_2Ec_2Ebool_2ET ) )
& ( mono_2Ec_2Ebool_2ET = ( ~ mono_2Ec_2Ebool_2EF ) ) ),
inference(fool_elimination,[status(thm)],[f158]) ).
thf(f158,plain,
( ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF )
& ( mono_2Ec_2Ebool_2ET
<=> ~ mono_2Ec_2Ebool_2EF )
& ! [X0: $o] :
( X0
<=> ~ ~ X0 ) ),
inference(rectify,[status(thm)],[f79]) ).
thf(f79,axiom,
( ( ~ mono_2Ec_2Ebool_2ET
<=> mono_2Ec_2Ebool_2EF )
& ( mono_2Ec_2Ebool_2ET
<=> ~ mono_2Ec_2Ebool_2EF )
& ! [X25: $o] :
( X25
<=> ~ ~ X25 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ENOT__CLAUSES) ).
thf(f647,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ X1 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X1 @ X2 ) @ ( s @ X1 @ X0 ) ) )
= ( s @ X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
thf(f1461,plain,
! [X2: mono_2Etyop_2Enum_2Enum,X0: $o,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) )
| ( $true = X0 ) ),
inference(superposition,[status(thm)],[f651,f1142]) ).
thf(f1142,plain,
! [X0: $o] :
( ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
| ( $true = X0 ) ),
inference(superposition,[status(thm)],[f652,f1045]) ).
thf(f1045,plain,
! [X0: $o] :
( ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) )
| ( $true = X0 ) ),
inference(binary_proxy_clausification,[status(thm)],[f696]) ).
thf(f696,plain,
! [X0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(cnf_transformation,[status(thm)],[f241]) ).
thf(f241,plain,
! [X0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(rectify,[status(thm)],[f22]) ).
thf(f22,axiom,
! [X8: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X8 ) ) )
= X8 ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ji_2Emono_2Etyop_2Emin_2Ebool) ).
thf(f652,plain,
! [X0: u] :
( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f240]) ).
thf(f240,plain,
! [X0: u] :
( ( s @ tyop_2Emin_2Ebool @ X0 )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f12]) ).
thf(f12,axiom,
! [X10: u] :
( ( s @ tyop_2Emin_2Ebool @ X10 )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ X10 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ij_2Emono_2Etyop_2Emin_2Ebool) ).
thf(f2368,plain,
spl33_15,
inference(avatar_contradiction_clause,[status(thm)],[f2367]) ).
thf(f2367,plain,
( $false
| spl33_15 ),
inference(trivial_inequality_removal,[status(thm)],[f2360]) ).
thf(f2360,plain,
( ( $false = $true )
| spl33_15 ),
inference(superposition,[status(thm)],[f2359,f503]) ).
thf(f2359,plain,
( ( $false
= ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) )
| spl33_15 ),
inference(trivial_inequality_removal,[status(thm)],[f2358]) ).
thf(f2358,plain,
( ( $false
= ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) )
| ( $true != $true )
| spl33_15 ),
inference(superposition,[status(thm)],[f2349,f1429]) ).
thf(f1429,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ X0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= $true )
| ( $false
= ( mono_2Ec_2Eprim__rec_2E_3C @ X0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ) ),
inference(superposition,[status(thm)],[f1005,f1110]) ).
thf(f1005,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ X1 ) @ ( mono_2Ec_2Enum_2ESUC @ X0 ) )
= $true )
| ( $false
= ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 ) ) ),
inference(binary_proxy_clausification,[status(thm)],[f517]) ).
thf(f517,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ X1 ) @ ( mono_2Ec_2Enum_2ESUC @ X0 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f244]) ).
thf(f244,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ X1 ) @ ( mono_2Ec_2Enum_2ESUC @ X0 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0 ) ),
inference(rectify,[status(thm)],[f61]) ).
thf(f61,axiom,
! [X19: mono_2Etyop_2Enum_2Enum,X18: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ X18 ) @ ( mono_2Ec_2Enum_2ESUC @ X19 ) )
= ( mono_2Ec_2Eprim__rec_2E_3C @ X18 @ X19 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2ELESS__MONO__EQ) ).
thf(f2349,plain,
( ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= $true )
| spl33_15 ),
inference(avatar_component_clause,[status(thm)],[f2347]) ).
thf(f2347,definition,
( spl33_15
<=> ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl33_15])],[avatar_definition]) ).
thf(f2356,plain,
( spl33_16
| ~ spl33_15 ),
inference(avatar_split_clause,[status(thm)],[f2340,f2347,f2354]) ).
thf(f2340,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2EMOD @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
| ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
!= $true )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f1137,f2051]) ).
thf(f2051,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( sK14 @ X0 ) @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) ),
inference(superposition,[status(thm)],[f462,f456]) ).
thf(f462,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK14 @ X0 ) ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f331]) ).
thf(f331,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK14 @ X0 ) ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) )
& ( ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
= $true )
| ! [X2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X2 ) )
!= X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f329,f330]) ).
thf(f330,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
= X0 )
=> ( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ ( sK14 @ X0 ) ) )
= X0 ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f329,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) )
& ( ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
= $true )
| ! [X2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X2 ) )
!= X0 ) ) ),
inference(rectify,[status(thm)],[f328]) ).
thf(f328,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
= X0 )
| ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
!= $true ) )
& ( ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
= $true )
| ! [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
!= X0 ) ) ),
inference(nnf_transformation,[status(thm)],[f119]) ).
thf(f119,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
= X0 )
<=> ( ( mono_2Ec_2Earithmetic_2EODD @ X0 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f118]) ).
thf(f118,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ? [X1: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X1 ) )
= X0 )
<=> ( mono_2Ec_2Earithmetic_2EODD @ X0 ) ),
inference(rectify,[status(thm)],[f67]) ).
thf(f67,axiom,
! [X20: mono_2Etyop_2Enum_2Enum] :
( ? [X21: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ X21 ) )
= X20 )
<=> ( mono_2Ec_2Earithmetic_2EODD @ X20 ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EODD__EXISTS) ).
thf(f1137,plain,
! [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum] :
( ( ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 )
= ( mono_2Ec_2Earithmetic_2EMOD @ ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1 ) ) @ X1 ) )
| ( $true
!= ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) @ X1 ) ) ),
inference(superposition,[status(thm)],[f830,f1136]) ).
thf(f1136,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_2B @ X0 @ ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) )
= ( mono_2Ec_2Enum_2ESUC @ X0 ) ),
inference(forward_demodulation,[status(thm)],[f588,f723]) ).
thf(f588,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2B @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(cnf_transformation,[status(thm)],[f238]) ).
thf(f238,plain,
! [X0: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ X0 )
= ( mono_2Ec_2Earithmetic_2E_2B @ X0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
inference(rectify,[status(thm)],[f62]) ).
thf(f62,axiom,
! [X18: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Enum_2ESUC @ X18 )
= ( mono_2Ec_2Earithmetic_2E_2B @ X18 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EADD1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.33 % Problem : ITP003^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.34 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.64 % Computer : n006.cluster.edu
% 0.17/0.64 % Model : x86_64 x86_64
% 0.17/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.64 % Memory : 8042.1875MB
% 0.17/0.64 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.64 % CPULimit : 300
% 0.17/0.64 % WCLimit : 300
% 0.17/0.64 % DateTime : Tue Feb 24 08:16:02 EST 2026
% 0.17/0.64 % CPUTime :
% 0.17/0.64 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.21/0.98 ---- Original DTF file ---
% 0.21/0.98 thf(spec,logic,$$dhol).
% 0.21/0.98 %------------------------------------------------------------------------------
% 0.21/0.98 % File : ITP003^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.21/0.98 % Domain : Interactive Theorem Proving
% 0.21/0.98 % Problem : HOL4 syntactic export of thm_2Earithmetic_2EMOD__2.p, bushy mode
% 0.21/0.98 % Version : [BG+19] axioms.
% 0.21/0.98 % English :
% 0.21/0.98
% 0.21/0.98 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.21/0.98 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.21/0.98 % Source : [BG+19]
% 0.21/0.98 % Names : thm_2Earithmetic_2EMOD__2.p [Gau19]
% 0.21/0.98 % : HL401001^1.p [TPAP]
% 0.21/0.98
% 0.21/0.98 % Status : Theorem
% 0.21/0.98 % Rating : 0.56 v9.1.0, 0.62 v9.0.0, 0.70 v8.2.0, 0.62 v8.1.0, 0.64 v7.5.0
% 0.21/0.98 % Syntax : Number of formulae : 215 ( 66 unt; 100 typ; 0 def)
% 0.21/0.98 % Number of atoms : 242 ( 78 equ; 59 cnn)
% 0.21/0.98 % Maximal formula atoms : 8 ( 2 avg)
% 0.21/0.98 % Number of connectives : 1698 ( 59 ~; 53 |; 46 &;1439 @)
% 0.21/0.98 % ( 63 <=>; 38 =>; 0 <=; 0 <~>)
% 0.21/0.98 % Maximal formula depth : 19 ( 5 avg)
% 0.21/0.98 % Number of types : 5 ( 4 usr)
% 0.21/0.98 % Number of type conns : 194 ( 194 >; 0 *; 0 +; 0 <<)
% 0.21/0.98 % Number of symbols : 98 ( 96 usr; 32 con; 0-4 aty)
% 0.21/0.98 % Number of variables : 248 ( 0 ^; 230 !; 18 ?; 248 :)
% 0.21/0.98 % SPC : TH0_THM_EQU_NAR
% 0.21/0.98
% 0.21/0.98 % Comments :
% 0.21/0.98 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.21/0.98 %------------------------------------------------------------------------------
% 0.21/0.98 thf(u,type,
% 0.21/0.98 u: $tType ).
% 0.21/0.98
% 0.21/0.98 thf(d,type,
% 0.21/0.98 d: $tType ).
% 0.21/0.98
% 0.21/0.98 thf(du,type,
% 0.21/0.98 du: $tType ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Etyop_2Enum_2Enum,type,
% 0.21/0.98 mono_2Etyop_2Enum_2Enum: $tType ).
% 0.21/0.98
% 0.21/0.98 thf(tyop_2Emin_2Ebool,type,
% 0.21/0.98 tyop_2Emin_2Ebool: d ).
% 0.21/0.98
% 0.21/0.98 thf(tyop_2Emin_2Efun,type,
% 0.21/0.98 tyop_2Emin_2Efun: d > d > d ).
% 0.21/0.98
% 0.21/0.98 thf(tyop_2Enum_2Enum,type,
% 0.21/0.98 tyop_2Enum_2Enum: d ).
% 0.21/0.98
% 0.21/0.98 thf(s,type,
% 0.21/0.98 s: d > u > du ).
% 0.21/0.98
% 0.21/0.98 thf(app_2E2,type,
% 0.21/0.98 app_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(combin_i_2E0,type,
% 0.21/0.98 combin_i_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(combin_k_2E0,type,
% 0.21/0.98 combin_k_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(combin_s_2E0,type,
% 0.21/0.98 combin_s_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_21_2E0,type,
% 0.21/0.98 c_2Ebool_2E_21_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_21_2E1,type,
% 0.21/0.98 c_2Ebool_2E_21_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2E_2A_2E0,type,
% 0.21/0.98 c_2Earithmetic_2E_2A_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2E_2A_2E2,type,
% 0.21/0.98 c_2Earithmetic_2E_2A_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2E_2B_2E0,type,
% 0.21/0.98 c_2Earithmetic_2E_2B_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2E_2B_2E2,type,
% 0.21/0.98 c_2Earithmetic_2E_2B_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.21/0.98 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.21/0.98 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Enum_2E0_2E0,type,
% 0.21/0.98 c_2Enum_2E0_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Eprim__rec_2E_3C_2E0,type,
% 0.21/0.98 c_2Eprim__rec_2E_3C_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Eprim__rec_2E_3C_2E2,type,
% 0.21/0.98 c_2Eprim__rec_2E_3C_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Emin_2E_3D_2E0,type,
% 0.21/0.98 c_2Emin_2E_3D_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Emin_2E_3D_2E2,type,
% 0.21/0.98 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.21/0.98 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.21/0.98 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_3F_2E0,type,
% 0.21/0.98 c_2Ebool_2E_3F_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_3F_2E1,type,
% 0.21/0.98 c_2Ebool_2E_3F_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EBIT1_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EBIT1_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EBIT1_2E1,type,
% 0.21/0.98 c_2Earithmetic_2EBIT1_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EBIT2_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EBIT2_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EBIT2_2E1,type,
% 0.21/0.98 c_2Earithmetic_2EBIT2_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2ECOND_2E0,type,
% 0.21/0.98 c_2Ebool_2ECOND_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2ECOND_2E3,type,
% 0.21/0.98 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EEVEN_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EEVEN_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EEVEN_2E1,type,
% 0.21/0.98 c_2Earithmetic_2EEVEN_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2EF_2E0,type,
% 0.21/0.98 c_2Ebool_2EF_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EMOD_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EMOD_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EMOD_2E2,type,
% 0.21/0.98 c_2Earithmetic_2EMOD_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2ENUMERAL_2E0,type,
% 0.21/0.98 c_2Earithmetic_2ENUMERAL_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2ENUMERAL_2E1,type,
% 0.21/0.98 c_2Earithmetic_2ENUMERAL_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EODD_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EODD_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EODD_2E1,type,
% 0.21/0.98 c_2Earithmetic_2EODD_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Enum_2ESUC_2E0,type,
% 0.21/0.98 c_2Enum_2ESUC_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Enum_2ESUC_2E1,type,
% 0.21/0.98 c_2Enum_2ESUC_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2ET_2E0,type,
% 0.21/0.98 c_2Ebool_2ET_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Earithmetic_2EZERO_2E0,type,
% 0.21/0.98 c_2Earithmetic_2EZERO_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.21/0.98 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.21/0.98 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_7E_2E0,type,
% 0.21/0.98 c_2Ebool_2E_7E_2E0: u ).
% 0.21/0.98
% 0.21/0.98 thf(c_2Ebool_2E_7E_2E1,type,
% 0.21/0.98 c_2Ebool_2E_7E_2E1: du > u ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 0.21/0.98 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2E_2A,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2E_2B,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.21/0.98 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Enum_2E0,type,
% 0.21/0.98 mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Eprim__rec_2E_3C,type,
% 0.21/0.98 mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.21/0.98 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EBIT1,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EBIT2,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.98 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum,type,
% 0.21/0.98 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EEVEN,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2EF,type,
% 0.21/0.98 mono_2Ec_2Ebool_2EF: $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EMOD,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EODD,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Enum_2ESUC,type,
% 0.21/0.98 mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2ET,type,
% 0.21/0.98 mono_2Ec_2Ebool_2ET: $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Earithmetic_2EZERO,type,
% 0.21/0.98 mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.21/0.98 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.21/0.98 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.21/0.98 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.21/0.98
% 0.21/0.98 thf(i_mono_2Etyop_2Enum_2Enum,type,
% 0.21/0.98 i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.21/0.98 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(j_mono_2Etyop_2Enum_2Enum,type,
% 0.21/0.98 j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.21/0.98 ( ! [V2x_2E0: u] :
% 0.21/0.98 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.98 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.21/0.98 ! [A_27a: d,V0x_2E0: u] :
% 0.21/0.98 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.21/0.98 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Eho_2Es__thm,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.21/0.98 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.21/0.98 ! [V0: $o,V1: $o] :
% 0.21/0.98 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.21/0.98 <=> ( V0
% 0.21/0.98 & V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.21/0.98 ! [V0: $o,V1: $o] :
% 0.21/0.98 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.21/0.98 <=> ( V0
% 0.21/0.98 | V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Elogic_2E_7E,axiom,
% 0.21/0.98 ! [V0: $o] :
% 0.21/0.98 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.21/0.98 <=> ( (~) @ V0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.21/0.98 ! [V0: $o,V1: $o] :
% 0.21/0.98 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.21/0.98 <=> ( V0
% 0.21/0.98 => V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Elogic_2E_3D,axiom,
% 0.21/0.98 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.21/0.98 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.21/0.98 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Equant_2E_21,axiom,
% 0.21/0.98 ! [A_27a: d,V0f_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.21/0.98 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(reserved_2Equant_2E_3F,axiom,
% 0.21/0.98 ! [A_27a: d,V0f_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.21/0.98 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ! [V0_2E0: u] :
% 0.21/0.98 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
% 0.21/0.98 = ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: $o > $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o > $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
% 0.21/0.98 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
% 0.21/0.98 = V0 ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.21/0.98 ! [A_27a: d,X0_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.21/0.98 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.21/0.98 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.98 ( ( ( s @ A_27a @ X0_2E0 )
% 0.21/0.98 = ( s @ A_27a @ X1_2E0 ) )
% 0.21/0.98 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.21/0.98 ! [A_27a: d,X0_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.21/0.98 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 0.21/0.98 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.21/0.98 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27b,axiom,
% 0.21/0.98 ! [A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.21/0.98 ( ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27b @ X1_2E0 ) @ ( s @ A_27b @ X2_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) @ ( s @ A_27b @ X2_2E0 ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: $o > $o,V1: $o] :
% 0.21/0.98 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o,V1: $o] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o > $o,V1: $o] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.21/0.98 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
% 0.21/0.98 = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: $o,V1: $o,V2: $o] :
% 0.21/0.98 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
% 0.21/0.98 = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum ) )
% 0.21/0.98 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ! [V0: $o,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
% 0.21/0.98 = ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2 ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: $o > $o,V1: $o] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o,V1: $o] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.98 ! [V0: $o > $o > $o > $o,V1: $o] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.21/0.98 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.21/0.98 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( V0 @ V1 )
% 0.21/0.98 = ( V0 @ V1 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EONE,axiom,
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
% 0.21/0.98 = ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2ETWO,axiom,
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
% 0.21/0.98 = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EADD__0,axiom,
% 0.21/0.98 ! [V0m: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ mono_2Ec_2Enum_2E0 )
% 0.21/0.98 = V0m ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2ELESS__MONO__EQ,axiom,
% 0.21/0.98 ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ V0m ) @ ( mono_2Ec_2Enum_2ESUC @ V1n ) )
% 0.21/0.98 = ( mono_2Ec_2Eprim__rec_2E_3C @ V0m @ V1n ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EADD1,axiom,
% 0.21/0.98 ! [V0m: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Enum_2ESUC @ V0m )
% 0.21/0.98 = ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EMULT__COMM,axiom,
% 0.21/0.98 ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n )
% 0.21/0.98 = ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V0m ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EEVEN__ODD,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n )
% 0.21/0.98 <=> ( (~) @ ( mono_2Ec_2Earithmetic_2EODD @ V0n ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EODD__EVEN,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
% 0.21/0.98 <=> ( (~) @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EEVEN__EXISTS,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n )
% 0.21/0.98 <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( V0n
% 0.21/0.98 = ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EODD__EXISTS,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
% 0.21/0.98 <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( V0n
% 0.21/0.98 = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EMOD__UNIQUE,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum,V1k: mono_2Etyop_2Enum_2Enum,V2r: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ? [V3q: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( V1k
% 0.21/0.98 = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ V3q @ V0n ) @ V2r ) )
% 0.21/0.98 & ( mono_2Ec_2Eprim__rec_2E_3C @ V2r @ V0n ) )
% 0.21/0.98 => ( ( mono_2Ec_2Earithmetic_2EMOD @ V1k @ V0n )
% 0.21/0.98 = V2r ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EBOOL__CASES__AX,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.21/0.98 | ( V0t = mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.21/0.98 mono_2Ec_2Ebool_2ET ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.21/0.98 ! [V0t1: $o,V1t2: $o] :
% 0.21/0.98 ( ( V0t1
% 0.21/0.98 => V1t2 )
% 0.21/0.98 => ( ( V1t2
% 0.21/0.98 => V0t1 )
% 0.21/0.98 => ( V0t1 = V1t2 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EFALSITY,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( mono_2Ec_2Ebool_2EF
% 0.21/0.98 => V0t ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( V0t
% 0.21/0.98 | ( (~) @ V0t ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EIMP__F,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( V0t
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 => ( (~) @ V0t ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EF__IMP,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( (~) @ V0t )
% 0.21/0.98 => ( V0t
% 0.21/0.98 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( ( mono_2Ec_2Ebool_2ET
% 0.21/0.98 & V0t )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 & mono_2Ec_2Ebool_2ET )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( mono_2Ec_2Ebool_2EF
% 0.21/0.98 & V0t )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2EF )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 & mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2EF )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 & V0t )
% 0.21/0.98 <=> V0t ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EOR__CLAUSES,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( ( mono_2Ec_2Ebool_2ET
% 0.21/0.98 | V0t )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 | mono_2Ec_2Ebool_2ET )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.98 & ( ( mono_2Ec_2Ebool_2EF
% 0.21/0.98 | V0t )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 | mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 | V0t )
% 0.21/0.98 <=> V0t ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( ( mono_2Ec_2Ebool_2ET
% 0.21/0.98 => V0t )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 => mono_2Ec_2Ebool_2ET )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.98 & ( ( mono_2Ec_2Ebool_2EF
% 0.21/0.98 => V0t )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 => V0t )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.98 & ( ( V0t
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> ( (~) @ V0t ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.21/0.98 ( ! [V0t: $o] :
% 0.21/0.98 ( ( (~) @ ( (~) @ V0t ) )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2EF )
% 0.21/0.98 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.21/0.98 ! [A_27a: d,V0x_2E0: u] :
% 0.21/0.98 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.21/0.98 = ( s @ A_27a @ V0x_2E0 ) )
% 0.21/0.98 <=> mono_2Ec_2Ebool_2ET ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.21/0.98 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.21/0.98 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.21/0.98 = ( s @ A_27a @ V1y_2E0 ) )
% 0.21/0.98 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.21/0.98 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.21/0.98 <=> V0t )
% 0.21/0.98 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.21/0.98 <=> ( (~) @ V0t ) )
% 0.21/0.98 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> ( (~) @ V0t ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 0.21/0.98 ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
% 0.21/0.98 ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27a @ V0t1_2E0 ) )
% 0.21/0.98 & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27a @ V1t2_2E0 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ENOT__EXISTS__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P_2E0: u] :
% 0.21/0.98 ( ( (~)
% 0.21/0.98 @ ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) )
% 0.21/0.98 <=> ! [V2x_2E0: u] : ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ELEFT__AND__FORALL__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.21/0.98 ( ( ! [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.98 & V1Q )
% 0.21/0.98 <=> ! [V3x_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.21/0.98 & V1Q ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EEXISTS__OR__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P_2E0: u,V1Q_2E0: u] :
% 0.21/0.98 ( ? [V2x_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.98 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.21/0.98 <=> ( ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.21/0.98 | ? [V4x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ELEFT__OR__EXISTS__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.21/0.98 ( ( ? [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.98 | V1Q )
% 0.21/0.98 <=> ? [V3x_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.21/0.98 | V1Q ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ERIGHT__OR__EXISTS__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.21/0.98 ( ( V0P
% 0.21/0.98 | ? [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.21/0.98 <=> ? [V3x_2E0: u] :
% 0.21/0.98 ( V0P
% 0.21/0.98 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ELEFT__EXISTS__AND__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.21/0.98 ( ? [V2x_2E0: u] :
% 0.21/0.98 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.98 & V1Q )
% 0.21/0.98 <=> ( ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.21/0.98 & V1Q ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ERIGHT__EXISTS__AND__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.21/0.98 ( ? [V2x_2E0: u] :
% 0.21/0.98 ( V0P
% 0.21/0.98 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.21/0.98 <=> ( V0P
% 0.21/0.98 & ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ERIGHT__FORALL__OR__THM,axiom,
% 0.21/0.98 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.21/0.98 ( ! [V2x_2E0: u] :
% 0.21/0.98 ( V0P
% 0.21/0.98 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.21/0.98 <=> ( V0P
% 0.21/0.98 | ! [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 0.21/0.98 ! [V0A: $o,V1B: $o,V2C: $o] :
% 0.21/0.98 ( ( V0A
% 0.21/0.98 | V1B
% 0.21/0.98 | V2C )
% 0.21/0.98 <=> ( V0A
% 0.21/0.98 | V1B
% 0.21/0.98 | V2C ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 0.21/0.98 ! [V0A: $o,V1B: $o] :
% 0.21/0.98 ( ( V0A
% 0.21/0.98 | V1B )
% 0.21/0.98 <=> ( V1B
% 0.21/0.98 | V0A ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 0.21/0.98 ! [V0A: $o,V1B: $o] :
% 0.21/0.98 ( ( ( (~)
% 0.21/0.98 @ ( V0A
% 0.21/0.98 & V1B ) )
% 0.21/0.98 <=> ( ( (~) @ V0A )
% 0.21/0.98 | ( (~) @ V1B ) ) )
% 0.21/0.98 & ( ( (~)
% 0.21/0.98 @ ( V0A
% 0.21/0.98 | V1B ) )
% 0.21/0.98 <=> ( ( (~) @ V0A )
% 0.21/0.98 & ( (~) @ V1B ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ECOND__RATOR,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,V0b: $o,V1f_2E0: u,V2g_2E0: u,V3x_2E0: u] :
% 0.21/0.98 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0b ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2g_2E0 ) ) ) @ ( s @ A_27a @ V3x_2E0 ) ) )
% 0.21/0.98 = ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0b ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1f_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2g_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ECOND__RAND,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1b: $o,V2x_2E0: u,V3y_2E0: u] :
% 0.21/0.98 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1b ) ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) )
% 0.21/0.98 = ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1b ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ECOND__EXPAND,axiom,
% 0.21/0.98 ! [V0b: $o,V1t1: $o,V2t2: $o] :
% 0.21/0.98 ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0b @ V1t1 @ V2t2 )
% 0.21/0.98 <=> ( ( ( (~) @ V0b )
% 0.21/0.98 | V1t1 )
% 0.21/0.98 & ( V0b
% 0.21/0.98 | V2t2 ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Ebool_2ESKOLEM__THM,axiom,
% 0.21/0.98 ! [A_27a: d,A_27b: d,V0P_2E0: u] :
% 0.21/0.98 ( ! [V1x_2E0: u] :
% 0.21/0.98 ? [V2y_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27b @ V2y_2E0 ) ) ) )
% 0.21/0.98 <=> ? [V3f_2E0: u] :
% 0.21/0.98 ! [V4x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V3f_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Eprim__rec_2ELESS__0,axiom,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.21/0.98 ! [V0t: $o] :
% 0.21/0.98 ( ( (~) @ ( (~) @ V0t ) )
% 0.21/0.98 <=> V0t ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.21/0.98 ! [V0A: $o] :
% 0.21/0.98 ( V0A
% 0.21/0.98 => ( ( (~) @ V0A )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.21/0.98 ! [V0B: $o,V1A: $o] :
% 0.21/0.98 ( ( ( (~)
% 0.21/0.98 @ ( V1A
% 0.21/0.98 | V0B ) )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> ( ( V1A
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 => ( ( (~) @ V0B )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.21/0.98 ! [V0B: $o,V1A: $o] :
% 0.21/0.98 ( ( ( (~)
% 0.21/0.98 @ ( ( (~) @ V1A )
% 0.21/0.98 | V0B ) )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 <=> ( V1A
% 0.21/0.98 => ( ( (~) @ V0B )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.21/0.98 ! [V0A: $o] :
% 0.21/0.98 ( ( ( (~) @ V0A )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 => ( ( V0A
% 0.21/0.98 => mono_2Ec_2Ebool_2EF )
% 0.21/0.98 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Edc__eq,axiom,
% 0.21/0.98 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.98 ( ( V2p
% 0.21/0.98 <=> ( V1q = V0r ) )
% 0.21/0.98 <=> ( ( V2p
% 0.21/0.98 | V1q
% 0.21/0.98 | V0r )
% 0.21/0.98 & ( V2p
% 0.21/0.98 | ( (~) @ V0r )
% 0.21/0.98 | ( (~) @ V1q ) )
% 0.21/0.98 & ( V1q
% 0.21/0.98 | ( (~) @ V0r )
% 0.21/0.98 | ( (~) @ V2p ) )
% 0.21/0.98 & ( V0r
% 0.21/0.98 | ( (~) @ V1q )
% 0.21/0.98 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Edc__conj,axiom,
% 0.21/0.98 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.98 ( ( V2p
% 0.21/0.98 <=> ( V1q
% 0.21/0.98 & V0r ) )
% 0.21/0.98 <=> ( ( V2p
% 0.21/0.98 | ( (~) @ V1q )
% 0.21/0.98 | ( (~) @ V0r ) )
% 0.21/0.98 & ( V1q
% 0.21/0.98 | ( (~) @ V2p ) )
% 0.21/0.98 & ( V0r
% 0.21/0.98 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Edc__disj,axiom,
% 0.21/0.98 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.98 ( ( V2p
% 0.21/0.98 <=> ( V1q
% 0.21/0.98 | V0r ) )
% 0.21/0.98 <=> ( ( V2p
% 0.21/0.98 | ( (~) @ V1q ) )
% 0.21/0.98 & ( V2p
% 0.21/0.98 | ( (~) @ V0r ) )
% 0.21/0.98 & ( V1q
% 0.21/0.98 | V0r
% 0.21/0.98 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Edc__imp,axiom,
% 0.21/0.98 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.98 ( ( V2p
% 0.21/0.98 <=> ( V1q
% 0.21/0.98 => V0r ) )
% 0.21/0.98 <=> ( ( V2p
% 0.21/0.98 | V1q )
% 0.21/0.98 & ( V2p
% 0.21/0.98 | ( (~) @ V0r ) )
% 0.21/0.98 & ( ( (~) @ V1q )
% 0.21/0.98 | V0r
% 0.21/0.98 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Edc__neg,axiom,
% 0.21/0.98 ! [V0q: $o,V1p: $o] :
% 0.21/0.98 ( ( V1p
% 0.21/0.98 <=> ( (~) @ V0q ) )
% 0.21/0.98 <=> ( ( V1p
% 0.21/0.98 | V0q )
% 0.21/0.98 & ( ( (~) @ V0q )
% 0.21/0.98 | ( (~) @ V1p ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Epth__ni1,axiom,
% 0.21/0.98 ! [V0q: $o,V1p: $o] :
% 0.21/0.98 ( ( (~)
% 0.21/0.98 @ ( V1p
% 0.21/0.98 => V0q ) )
% 0.21/0.98 => V1p ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Epth__ni2,axiom,
% 0.21/0.98 ! [V0q: $o,V1p: $o] :
% 0.21/0.98 ( ( (~)
% 0.21/0.98 @ ( V1p
% 0.21/0.98 => V0q ) )
% 0.21/0.98 => ( (~) @ V0q ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Epth__no1,axiom,
% 0.21/0.98 ! [V0q: $o,V1p: $o] :
% 0.21/0.98 ( ( (~)
% 0.21/0.98 @ ( V1p
% 0.21/0.98 | V0q ) )
% 0.21/0.98 => ( (~) @ V1p ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Epth__no2,axiom,
% 0.21/0.98 ! [V0q: $o,V1p: $o] :
% 0.21/0.98 ( ( (~)
% 0.21/0.98 @ ( V1p
% 0.21/0.98 | V0q ) )
% 0.21/0.98 => ( (~) @ V0q ) ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Esat_2Epth__nn,axiom,
% 0.21/0.98 ! [V0p: $o] :
% 0.21/0.98 ( ( (~) @ ( (~) @ V0p ) )
% 0.21/0.98 => V0p ) ).
% 0.21/0.98
% 0.21/0.98 thf(thm_2Earithmetic_2EMOD__2,conjecture,
% 0.21/0.98 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.21/0.98 ( ( mono_2Ec_2Earithmetic_2EMOD @ V0n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
% 0.21/0.98 = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 0.21/0.98
% 0.21/0.98 %------------------------------------------------------------------------------
% 0.21/0.98 ------------------------
% 2.40/2.37 ---- Embedded in THF ---
% 2.40/2.37 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.40/2.37 %%% Generated on Tue Feb 24 08:16:03 EST 2026
% 2.40/2.37 %%% using '$$dhol' embedding, version 1.3.0.
% 2.40/2.37 %%% Logic specification used:
% 2.40/2.37 %%% thf(spec, logic, $$dhol).
% 2.40/2.37
% 2.40/2.37 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2DTF28205.p
% See solution above
% 2.40/2.37 ------------------------
% 2.40/2.39 ---- Cleaned THF ---
% 2.40/2.39 thf(u,type,
% 2.40/2.39 u: $tType ).
% 2.40/2.39
% 2.40/2.39 thf(d,type,
% 2.40/2.39 d: $tType ).
% 2.40/2.39
% 2.40/2.39 thf(du,type,
% 2.40/2.39 du: $tType ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Etyop_2Enum_2Enum,type,
% 2.40/2.39 mono_2Etyop_2Enum_2Enum: $tType ).
% 2.40/2.39
% 2.40/2.39 thf(tyop_2Emin_2Ebool,type,
% 2.40/2.39 tyop_2Emin_2Ebool: d ).
% 2.40/2.39
% 2.40/2.39 thf(tyop_2Emin_2Efun,type,
% 2.40/2.39 tyop_2Emin_2Efun: d > d > d ).
% 2.40/2.39
% 2.40/2.39 thf(tyop_2Enum_2Enum,type,
% 2.40/2.39 tyop_2Enum_2Enum: d ).
% 2.40/2.39
% 2.40/2.39 thf(s,type,
% 2.40/2.39 s: d > u > du ).
% 2.40/2.39
% 2.40/2.39 thf(app_2E2,type,
% 2.40/2.39 app_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(combin_i_2E0,type,
% 2.40/2.39 combin_i_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(combin_k_2E0,type,
% 2.40/2.39 combin_k_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(combin_s_2E0,type,
% 2.40/2.39 combin_s_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_21_2E0,type,
% 2.40/2.39 c_2Ebool_2E_21_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_21_2E1,type,
% 2.40/2.39 c_2Ebool_2E_21_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2E_2A_2E0,type,
% 2.40/2.39 c_2Earithmetic_2E_2A_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2E_2A_2E2,type,
% 2.40/2.39 c_2Earithmetic_2E_2A_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2E_2B_2E0,type,
% 2.40/2.39 c_2Earithmetic_2E_2B_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2E_2B_2E2,type,
% 2.40/2.39 c_2Earithmetic_2E_2B_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.40/2.39 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.40/2.39 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Enum_2E0_2E0,type,
% 2.40/2.39 c_2Enum_2E0_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Eprim__rec_2E_3C_2E0,type,
% 2.40/2.39 c_2Eprim__rec_2E_3C_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Eprim__rec_2E_3C_2E2,type,
% 2.40/2.39 c_2Eprim__rec_2E_3C_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Emin_2E_3D_2E0,type,
% 2.40/2.39 c_2Emin_2E_3D_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Emin_2E_3D_2E2,type,
% 2.40/2.39 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.40/2.39 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.40/2.39 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_3F_2E0,type,
% 2.40/2.39 c_2Ebool_2E_3F_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_3F_2E1,type,
% 2.40/2.39 c_2Ebool_2E_3F_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EBIT1_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EBIT1_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EBIT1_2E1,type,
% 2.40/2.39 c_2Earithmetic_2EBIT1_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EBIT2_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EBIT2_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EBIT2_2E1,type,
% 2.40/2.39 c_2Earithmetic_2EBIT2_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2ECOND_2E0,type,
% 2.40/2.39 c_2Ebool_2ECOND_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2ECOND_2E3,type,
% 2.40/2.39 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EEVEN_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EEVEN_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EEVEN_2E1,type,
% 2.40/2.39 c_2Earithmetic_2EEVEN_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2EF_2E0,type,
% 2.40/2.39 c_2Ebool_2EF_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EMOD_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EMOD_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EMOD_2E2,type,
% 2.40/2.39 c_2Earithmetic_2EMOD_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2ENUMERAL_2E0,type,
% 2.40/2.39 c_2Earithmetic_2ENUMERAL_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2ENUMERAL_2E1,type,
% 2.40/2.39 c_2Earithmetic_2ENUMERAL_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EODD_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EODD_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EODD_2E1,type,
% 2.40/2.39 c_2Earithmetic_2EODD_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Enum_2ESUC_2E0,type,
% 2.40/2.39 c_2Enum_2ESUC_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Enum_2ESUC_2E1,type,
% 2.40/2.39 c_2Enum_2ESUC_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2ET_2E0,type,
% 2.40/2.39 c_2Ebool_2ET_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Earithmetic_2EZERO_2E0,type,
% 2.40/2.39 c_2Earithmetic_2EZERO_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.40/2.39 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.40/2.39 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_7E_2E0,type,
% 2.40/2.39 c_2Ebool_2E_7E_2E0: u ).
% 2.40/2.39
% 2.40/2.39 thf(c_2Ebool_2E_7E_2E1,type,
% 2.40/2.39 c_2Ebool_2E_7E_2E1: du > u ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o > $o ) > $o > $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 2.40/2.39 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2E_2A,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2E_2B,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.40/2.39 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Enum_2E0,type,
% 2.40/2.39 mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Eprim__rec_2E_3C,type,
% 2.40/2.39 mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.40/2.39 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EBIT1,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EBIT2,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool,type,
% 2.40/2.39 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum,type,
% 2.40/2.39 mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EEVEN,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2EF,type,
% 2.40/2.39 mono_2Ec_2Ebool_2EF: $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EMOD,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2ENUMERAL,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EODD,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Enum_2ESUC,type,
% 2.40/2.39 mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2ET,type,
% 2.40/2.39 mono_2Ec_2Ebool_2ET: $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Earithmetic_2EZERO,type,
% 2.40/2.39 mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.40/2.39 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.40/2.39 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ( $o > $o > $o > $o ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ( $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.40/2.39 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.40/2.39
% 2.40/2.39 thf(i_mono_2Etyop_2Enum_2Enum,type,
% 2.40/2.39 i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.40/2.39 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(j_mono_2Etyop_2Enum_2Enum,type,
% 2.40/2.39 j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.40/2.39 ( ! [V2x_2E0: u] :
% 2.40/2.39 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.40/2.39 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.40/2.39 ! [A_27a: d,V0x_2E0: u] :
% 2.40/2.39 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.40/2.39 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Eho_2Es__thm,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.40/2.39 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.40/2.39 ! [V0: $o,V1: $o] :
% 2.40/2.39 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.40/2.39 <=> ( V0
% 2.40/2.39 & V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.40/2.39 ! [V0: $o,V1: $o] :
% 2.40/2.39 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.40/2.39 <=> ( V0
% 2.40/2.39 | V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Elogic_2E_7E,axiom,
% 2.40/2.39 ! [V0: $o] :
% 2.40/2.39 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.40/2.39 <=> ( (~) @ V0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.40/2.39 ! [V0: $o,V1: $o] :
% 2.40/2.39 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.40/2.39 <=> ( V0
% 2.40/2.39 => V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Elogic_2E_3D,axiom,
% 2.40/2.39 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.40/2.39 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.40/2.39 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Equant_2E_21,axiom,
% 2.40/2.39 ! [A_27a: d,V0f_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.40/2.39 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(reserved_2Equant_2E_3F,axiom,
% 2.40/2.39 ! [A_27a: d,V0f_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.40/2.39 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ! [V0_2E0: u] :
% 2.40/2.39 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
% 2.40/2.39 = ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: $o > $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o > $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29,axiom,
% 2.40/2.39 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
% 2.40/2.39 = V0 ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.40/2.39 ! [A_27a: d,X0_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.40/2.39 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.40/2.39 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.40/2.39 ( ( ( s @ A_27a @ X0_2E0 )
% 2.40/2.39 = ( s @ A_27a @ X1_2E0 ) )
% 2.40/2.39 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.40/2.39 ! [A_27a: d,X0_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.40/2.39 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 2.40/2.39 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.40/2.39 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27b,axiom,
% 2.40/2.39 ! [A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.40/2.39 ( ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27b @ X1_2E0 ) @ ( s @ A_27b @ X2_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) @ ( s @ A_27b @ X2_2E0 ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Efun_28A_27a_2CA_27b_29,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: $o > $o,V1: $o] :
% 2.40/2.39 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o,V1: $o] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o > $o,V1: $o] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.40/2.39 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
% 2.40/2.39 = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: $o,V1: $o,V2: $o] :
% 2.40/2.39 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0 @ V1 @ V2 ) ) )
% 2.40/2.39 = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V2 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29 @ mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum ) )
% 2.40/2.39 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) ) @ c_2Ebool_2ECOND_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ! [V0: $o,V1: mono_2Etyop_2Enum_2Enum,V2: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
% 2.40/2.39 = ( s @ tyop_2Enum_2Enum @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2 ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: $o > $o,V1: $o] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o,V1: $o] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.40/2.39 ! [V0: $o > $o > $o > $o,V1: $o] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.40/2.39 ! [V0: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: $o] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.40/2.39 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( V0 @ V1 )
% 2.40/2.39 = ( V0 @ V1 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EONE,axiom,
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) )
% 2.40/2.39 = ( mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0 ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2ETWO,axiom,
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) )
% 2.40/2.39 = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EADD__0,axiom,
% 2.40/2.39 ! [V0m: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ mono_2Ec_2Enum_2E0 )
% 2.40/2.39 = V0m ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2ELESS__MONO__EQ,axiom,
% 2.40/2.39 ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Eprim__rec_2E_3C @ ( mono_2Ec_2Enum_2ESUC @ V0m ) @ ( mono_2Ec_2Enum_2ESUC @ V1n ) )
% 2.40/2.39 = ( mono_2Ec_2Eprim__rec_2E_3C @ V0m @ V1n ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EADD1,axiom,
% 2.40/2.39 ! [V0m: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Enum_2ESUC @ V0m )
% 2.40/2.39 = ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EMULT__COMM,axiom,
% 2.40/2.39 ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2E_2A @ V0m @ V1n )
% 2.40/2.39 = ( mono_2Ec_2Earithmetic_2E_2A @ V1n @ V0m ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EEVEN__ODD,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n )
% 2.40/2.39 <=> ( (~) @ ( mono_2Ec_2Earithmetic_2EODD @ V0n ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EODD__EVEN,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
% 2.40/2.39 <=> ( (~) @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EEVEN__EXISTS,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2EEVEN @ V0n )
% 2.40/2.39 <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( V0n
% 2.40/2.39 = ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EODD__EXISTS,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2EODD @ V0n )
% 2.40/2.39 <=> ? [V1m: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( V0n
% 2.40/2.39 = ( mono_2Ec_2Enum_2ESUC @ ( mono_2Ec_2Earithmetic_2E_2A @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) @ V1m ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EMOD__UNIQUE,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum,V1k: mono_2Etyop_2Enum_2Enum,V2r: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ? [V3q: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( V1k
% 2.40/2.39 = ( mono_2Ec_2Earithmetic_2E_2B @ ( mono_2Ec_2Earithmetic_2E_2A @ V3q @ V0n ) @ V2r ) )
% 2.40/2.39 & ( mono_2Ec_2Eprim__rec_2E_3C @ V2r @ V0n ) )
% 2.40/2.39 => ( ( mono_2Ec_2Earithmetic_2EMOD @ V1k @ V0n )
% 2.40/2.39 = V2r ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EBOOL__CASES__AX,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.40/2.39 | ( V0t = mono_2Ec_2Ebool_2EF ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ETRUTH,axiom,
% 2.40/2.39 mono_2Ec_2Ebool_2ET ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 2.40/2.39 ! [V0t1: $o,V1t2: $o] :
% 2.40/2.39 ( ( V0t1
% 2.40/2.39 => V1t2 )
% 2.40/2.39 => ( ( V1t2
% 2.40/2.39 => V0t1 )
% 2.40/2.39 => ( V0t1 = V1t2 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EFALSITY,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( mono_2Ec_2Ebool_2EF
% 2.40/2.39 => V0t ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( V0t
% 2.40/2.39 | ( (~) @ V0t ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EIMP__F,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( V0t
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 => ( (~) @ V0t ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EF__IMP,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( (~) @ V0t )
% 2.40/2.39 => ( V0t
% 2.40/2.39 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( ( mono_2Ec_2Ebool_2ET
% 2.40/2.39 & V0t )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 & mono_2Ec_2Ebool_2ET )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( mono_2Ec_2Ebool_2EF
% 2.40/2.39 & V0t )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2EF )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 & mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2EF )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 & V0t )
% 2.40/2.39 <=> V0t ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EOR__CLAUSES,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( ( mono_2Ec_2Ebool_2ET
% 2.40/2.39 | V0t )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 | mono_2Ec_2Ebool_2ET )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET )
% 2.40/2.39 & ( ( mono_2Ec_2Ebool_2EF
% 2.40/2.39 | V0t )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 | mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 | V0t )
% 2.40/2.39 <=> V0t ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( ( mono_2Ec_2Ebool_2ET
% 2.40/2.39 => V0t )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 => mono_2Ec_2Ebool_2ET )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET )
% 2.40/2.39 & ( ( mono_2Ec_2Ebool_2EF
% 2.40/2.39 => V0t )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 => V0t )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET )
% 2.40/2.39 & ( ( V0t
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> ( (~) @ V0t ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 2.40/2.39 ( ! [V0t: $o] :
% 2.40/2.39 ( ( (~) @ ( (~) @ V0t ) )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2EF )
% 2.40/2.39 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 2.40/2.39 ! [A_27a: d,V0x_2E0: u] :
% 2.40/2.39 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.40/2.39 = ( s @ A_27a @ V0x_2E0 ) )
% 2.40/2.39 <=> mono_2Ec_2Ebool_2ET ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 2.40/2.39 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 2.40/2.39 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.40/2.39 = ( s @ A_27a @ V1y_2E0 ) )
% 2.40/2.39 <=> ( ( s @ A_27a @ V1y_2E0 )
% 2.40/2.39 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.40/2.39 <=> V0t )
% 2.40/2.39 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 2.40/2.39 <=> ( (~) @ V0t ) )
% 2.40/2.39 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> ( (~) @ V0t ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 2.40/2.39 ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
% 2.40/2.39 ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27a @ V0t1_2E0 ) )
% 2.40/2.39 & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27a @ V1t2_2E0 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ENOT__EXISTS__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P_2E0: u] :
% 2.40/2.39 ( ( (~)
% 2.40/2.39 @ ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) )
% 2.40/2.39 <=> ! [V2x_2E0: u] : ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ELEFT__AND__FORALL__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.40/2.39 ( ( ! [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.40/2.39 & V1Q )
% 2.40/2.39 <=> ! [V3x_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 2.40/2.39 & V1Q ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EEXISTS__OR__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P_2E0: u,V1Q_2E0: u] :
% 2.40/2.39 ( ? [V2x_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.40/2.39 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 2.40/2.39 <=> ( ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 2.40/2.39 | ? [V4x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ELEFT__OR__EXISTS__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.40/2.39 ( ( ? [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.40/2.39 | V1Q )
% 2.40/2.39 <=> ? [V3x_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 2.40/2.39 | V1Q ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ERIGHT__OR__EXISTS__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.40/2.39 ( ( V0P
% 2.40/2.39 | ? [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 2.40/2.39 <=> ? [V3x_2E0: u] :
% 2.40/2.39 ( V0P
% 2.40/2.39 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ELEFT__EXISTS__AND__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.40/2.39 ( ? [V2x_2E0: u] :
% 2.40/2.39 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.40/2.39 & V1Q )
% 2.40/2.39 <=> ( ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 2.40/2.39 & V1Q ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ERIGHT__EXISTS__AND__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.40/2.39 ( ? [V2x_2E0: u] :
% 2.40/2.39 ( V0P
% 2.40/2.39 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 2.40/2.39 <=> ( V0P
% 2.40/2.39 & ? [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ERIGHT__FORALL__OR__THM,axiom,
% 2.40/2.39 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.40/2.39 ( ! [V2x_2E0: u] :
% 2.40/2.39 ( V0P
% 2.40/2.39 | ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 2.40/2.39 <=> ( V0P
% 2.40/2.39 | ! [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EDISJ__ASSOC,axiom,
% 2.40/2.39 ! [V0A: $o,V1B: $o,V2C: $o] :
% 2.40/2.39 ( ( V0A
% 2.40/2.39 | V1B
% 2.40/2.39 | V2C )
% 2.40/2.39 <=> ( V0A
% 2.40/2.39 | V1B
% 2.40/2.39 | V2C ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 2.40/2.39 ! [V0A: $o,V1B: $o] :
% 2.40/2.39 ( ( V0A
% 2.40/2.39 | V1B )
% 2.40/2.39 <=> ( V1B
% 2.40/2.39 | V0A ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2EDE__MORGAN__THM,axiom,
% 2.40/2.39 ! [V0A: $o,V1B: $o] :
% 2.40/2.39 ( ( ( (~)
% 2.40/2.39 @ ( V0A
% 2.40/2.39 & V1B ) )
% 2.40/2.39 <=> ( ( (~) @ V0A )
% 2.40/2.39 | ( (~) @ V1B ) ) )
% 2.40/2.39 & ( ( (~)
% 2.40/2.39 @ ( V0A
% 2.40/2.39 | V1B ) )
% 2.40/2.39 <=> ( ( (~) @ V0A )
% 2.40/2.39 & ( (~) @ V1B ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ECOND__RATOR,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,V0b: $o,V1f_2E0: u,V2g_2E0: u,V3x_2E0: u] :
% 2.40/2.39 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0b ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2g_2E0 ) ) ) @ ( s @ A_27a @ V3x_2E0 ) ) )
% 2.40/2.39 = ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0b ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1f_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2g_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ECOND__RAND,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1b: $o,V2x_2E0: u,V3y_2E0: u] :
% 2.40/2.39 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1b ) ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) )
% 2.40/2.39 = ( s @ A_27b @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1b ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V3y_2E0 ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ECOND__EXPAND,axiom,
% 2.40/2.39 ! [V0b: $o,V1t1: $o,V2t2: $o] :
% 2.40/2.39 ( ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool @ V0b @ V1t1 @ V2t2 )
% 2.40/2.39 <=> ( ( ( (~) @ V0b )
% 2.40/2.39 | V1t1 )
% 2.40/2.39 & ( V0b
% 2.40/2.39 | V2t2 ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Ebool_2ESKOLEM__THM,axiom,
% 2.40/2.39 ! [A_27a: d,A_27b: d,V0P_2E0: u] :
% 2.40/2.39 ( ! [V1x_2E0: u] :
% 2.40/2.39 ? [V2y_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27b @ V2y_2E0 ) ) ) )
% 2.40/2.39 <=> ? [V3f_2E0: u] :
% 2.40/2.39 ! [V4x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0P_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V3f_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Eprim__rec_2ELESS__0,axiom,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Enum_2ESUC @ V0n ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2ENOT__NOT,axiom,
% 2.40/2.39 ! [V0t: $o] :
% 2.40/2.39 ( ( (~) @ ( (~) @ V0t ) )
% 2.40/2.39 <=> V0t ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 2.40/2.39 ! [V0A: $o] :
% 2.40/2.39 ( V0A
% 2.40/2.39 => ( ( (~) @ V0A )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 2.40/2.39 ! [V0B: $o,V1A: $o] :
% 2.40/2.39 ( ( ( (~)
% 2.40/2.39 @ ( V1A
% 2.40/2.39 | V0B ) )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> ( ( V1A
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 => ( ( (~) @ V0B )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 2.40/2.39 ! [V0B: $o,V1A: $o] :
% 2.40/2.39 ( ( ( (~)
% 2.40/2.39 @ ( ( (~) @ V1A )
% 2.40/2.39 | V0B ) )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 <=> ( V1A
% 2.40/2.39 => ( ( (~) @ V0B )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2EAND__INV2,axiom,
% 2.40/2.39 ! [V0A: $o] :
% 2.40/2.39 ( ( ( (~) @ V0A )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 => ( ( V0A
% 2.40/2.39 => mono_2Ec_2Ebool_2EF )
% 2.40/2.39 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Edc__eq,axiom,
% 2.40/2.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.40/2.39 ( ( V2p
% 2.40/2.39 <=> ( V1q = V0r ) )
% 2.40/2.39 <=> ( ( V2p
% 2.40/2.39 | V1q
% 2.40/2.39 | V0r )
% 2.40/2.39 & ( V2p
% 2.40/2.39 | ( (~) @ V0r )
% 2.40/2.39 | ( (~) @ V1q ) )
% 2.40/2.39 & ( V1q
% 2.40/2.39 | ( (~) @ V0r )
% 2.40/2.39 | ( (~) @ V2p ) )
% 2.40/2.39 & ( V0r
% 2.40/2.39 | ( (~) @ V1q )
% 2.40/2.39 | ( (~) @ V2p ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Edc__conj,axiom,
% 2.40/2.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.40/2.39 ( ( V2p
% 2.40/2.39 <=> ( V1q
% 2.40/2.39 & V0r ) )
% 2.40/2.39 <=> ( ( V2p
% 2.40/2.39 | ( (~) @ V1q )
% 2.40/2.39 | ( (~) @ V0r ) )
% 2.40/2.39 & ( V1q
% 2.40/2.39 | ( (~) @ V2p ) )
% 2.40/2.39 & ( V0r
% 2.40/2.39 | ( (~) @ V2p ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Edc__disj,axiom,
% 2.40/2.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.40/2.39 ( ( V2p
% 2.40/2.39 <=> ( V1q
% 2.40/2.39 | V0r ) )
% 2.40/2.39 <=> ( ( V2p
% 2.40/2.39 | ( (~) @ V1q ) )
% 2.40/2.39 & ( V2p
% 2.40/2.39 | ( (~) @ V0r ) )
% 2.40/2.39 & ( V1q
% 2.40/2.39 | V0r
% 2.40/2.39 | ( (~) @ V2p ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Edc__imp,axiom,
% 2.40/2.39 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.40/2.39 ( ( V2p
% 2.40/2.39 <=> ( V1q
% 2.40/2.39 => V0r ) )
% 2.40/2.39 <=> ( ( V2p
% 2.40/2.39 | V1q )
% 2.40/2.39 & ( V2p
% 2.40/2.39 | ( (~) @ V0r ) )
% 2.40/2.39 & ( ( (~) @ V1q )
% 2.40/2.39 | V0r
% 2.40/2.39 | ( (~) @ V2p ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Edc__neg,axiom,
% 2.40/2.39 ! [V0q: $o,V1p: $o] :
% 2.40/2.39 ( ( V1p
% 2.40/2.39 <=> ( (~) @ V0q ) )
% 2.40/2.39 <=> ( ( V1p
% 2.40/2.39 | V0q )
% 2.40/2.39 & ( ( (~) @ V0q )
% 2.40/2.39 | ( (~) @ V1p ) ) ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Epth__ni1,axiom,
% 2.40/2.39 ! [V0q: $o,V1p: $o] :
% 2.40/2.39 ( ( (~)
% 2.40/2.39 @ ( V1p
% 2.40/2.39 => V0q ) )
% 2.40/2.39 => V1p ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Epth__ni2,axiom,
% 2.40/2.39 ! [V0q: $o,V1p: $o] :
% 2.40/2.39 ( ( (~)
% 2.40/2.39 @ ( V1p
% 2.40/2.39 => V0q ) )
% 2.40/2.39 => ( (~) @ V0q ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Epth__no1,axiom,
% 2.40/2.39 ! [V0q: $o,V1p: $o] :
% 2.40/2.39 ( ( (~)
% 2.40/2.39 @ ( V1p
% 2.40/2.39 | V0q ) )
% 2.40/2.39 => ( (~) @ V1p ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Epth__no2,axiom,
% 2.40/2.39 ! [V0q: $o,V1p: $o] :
% 2.40/2.39 ( ( (~)
% 2.40/2.39 @ ( V1p
% 2.40/2.39 | V0q ) )
% 2.40/2.39 => ( (~) @ V0q ) ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Esat_2Epth__nn,axiom,
% 2.40/2.39 ! [V0p: $o] :
% 2.40/2.39 ( ( (~) @ ( (~) @ V0p ) )
% 2.40/2.39 => V0p ) ).
% 2.40/2.39
% 2.40/2.39 thf(thm_2Earithmetic_2EMOD__2,conjecture,
% 2.40/2.39 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 2.40/2.39 ( ( mono_2Ec_2Earithmetic_2EMOD @ V0n @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO ) ) )
% 2.40/2.39 = ( mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2EEVEN @ V0n ) @ mono_2Ec_2Enum_2E0 @ ( mono_2Ec_2Earithmetic_2ENUMERAL @ ( mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO ) ) ) ) ).
% 2.40/2.39 ------------------------
% 2.61/2.42 % (28338)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/183Mi)
% 2.61/2.42 % (28339)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/4Mi)
% 2.61/2.42 % (28340)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/27Mi)
% 2.61/2.42 % (28339)Instruction limit reached!
% 2.61/2.42 % (28339)------------------------------
% 2.61/2.42 % (28339)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.42 % (28339)Termination reason: Unknown
% 2.61/2.42 % (28339)Termination phase: shuffling
% 2.61/2.42
% 2.61/2.42 % (28339)Memory used [KB]: 1279
% 2.61/2.42 % (28339)Time elapsed: 0.003 s
% 2.61/2.42 % (28339)Instructions burned: 5 (million)
% 2.61/2.42 % (28339)------------------------------
% 2.61/2.42 % (28339)------------------------------
% 2.61/2.43 % (28341)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/2Mi)
% 2.61/2.43 % (28342)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/2Mi)
% 2.61/2.43 % (28344)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/18Mi)
% 2.61/2.43 % (28343)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/275Mi)
% 2.61/2.43 % (28340)Instruction limit reached!
% 2.61/2.43 % (28340)------------------------------
% 2.61/2.43 % (28340)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.43 % (28340)Termination reason: Unknown
% 2.61/2.43 % (28340)Termination phase: Property scanning
% 2.61/2.43
% 2.61/2.43 % (28340)Memory used [KB]: 1535
% 2.61/2.43 % (28340)Time elapsed: 0.010 s
% 2.61/2.43 % (28340)Instructions burned: 29 (million)
% 2.61/2.43 % (28340)------------------------------
% 2.61/2.43 % (28340)------------------------------
% 2.61/2.43 % (28341)Instruction limit reached!
% 2.61/2.43 % (28341)------------------------------
% 2.61/2.43 % (28341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.43 % (28341)Termination reason: Unknown
% 2.61/2.43 % (28341)Termination phase: shuffling
% 2.61/2.43
% 2.61/2.43 % (28341)Memory used [KB]: 1151
% 2.61/2.43 % (28342)Instruction limit reached!
% 2.61/2.43 % (28342)------------------------------
% 2.61/2.43 % (28342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.43 % (28342)Termination reason: Unknown
% 2.61/2.43 % (28342)Termination phase: shuffling
% 2.61/2.43
% 2.61/2.43 % (28342)Memory used [KB]: 1151
% 2.61/2.43 % (28342)Time elapsed: 0.004 s
% 2.61/2.43 % (28342)Instructions burned: 3 (million)
% 2.61/2.43 % (28342)------------------------------
% 2.61/2.43 % (28342)------------------------------
% 2.61/2.43 % (28341)Time elapsed: 0.004 s
% 2.61/2.43 % (28341)Instructions burned: 3 (million)
% 2.61/2.43 % (28341)------------------------------
% 2.61/2.43 % (28341)------------------------------
% 2.61/2.43 % (28345)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/3Mi)
% 2.61/2.44 % (28344)Instruction limit reached!
% 2.61/2.44 % (28344)------------------------------
% 2.61/2.44 % (28344)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.44 % (28344)Termination reason: Unknown
% 2.61/2.44 % (28344)Termination phase: Naming
% 2.61/2.44
% 2.61/2.44 % (28344)Memory used [KB]: 1407
% 2.61/2.44 % (28344)Time elapsed: 0.012 s
% 2.61/2.44 % (28344)Instructions burned: 18 (million)
% 2.61/2.44 % (28344)------------------------------
% 2.61/2.44 % (28344)------------------------------
% 2.61/2.44 % (28345)Instruction limit reached!
% 2.61/2.44 % (28345)------------------------------
% 2.61/2.44 % (28345)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.44 % (28345)Termination reason: Unknown
% 2.61/2.44 % (28345)Termination phase: shuffling
% 2.61/2.44
% 2.61/2.44 % (28345)Memory used [KB]: 1279
% 2.61/2.44 % (28345)Time elapsed: 0.003 s
% 2.61/2.44 % (28345)Instructions burned: 5 (million)
% 2.61/2.44 % (28345)------------------------------
% 2.61/2.44 % (28345)------------------------------
% 2.61/2.44 % (28346)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/37Mi)
% 2.61/2.44 % (28348)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/3Mi)
% 2.61/2.44 % (28348)Instruction limit reached!
% 2.61/2.44 % (28348)------------------------------
% 2.61/2.44 % (28348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.44 % (28348)Termination reason: Unknown
% 2.61/2.44 % (28348)Termination phase: shuffling
% 2.61/2.44
% 2.61/2.44 % (28348)Memory used [KB]: 1151
% 2.61/2.44 % (28348)Time elapsed: 0.003 s
% 2.61/2.44 % (28348)Instructions burned: 4 (million)
% 2.61/2.44 % (28348)------------------------------
% 2.61/2.44 % (28348)------------------------------
% 2.61/2.44 % (28347)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/15Mi)
% 2.61/2.45 % (28349)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/1041Mi)
% 2.61/2.45 % (28346)Instruction limit reached!
% 2.61/2.45 % (28346)------------------------------
% 2.61/2.45 % (28346)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.45 % (28346)Termination reason: Unknown
% 2.61/2.45 % (28346)Termination phase: Property scanning
% 2.61/2.45
% 2.61/2.45 % (28346)Memory used [KB]: 1535
% 2.61/2.45 % (28346)Time elapsed: 0.012 s
% 2.61/2.45 % (28346)Instructions burned: 40 (million)
% 2.61/2.45 % (28346)------------------------------
% 2.61/2.45 % (28346)------------------------------
% 2.61/2.45 % (28347)Instruction limit reached!
% 2.61/2.45 % (28347)------------------------------
% 2.61/2.45 % (28347)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.45 % (28347)Termination reason: Unknown
% 2.61/2.45 % (28347)Termination phase: Preprocessing 1
% 2.61/2.45
% 2.61/2.45 % (28347)Memory used [KB]: 1279
% 2.61/2.45 % (28347)Time elapsed: 0.010 s
% 2.61/2.45 % (28347)Instructions burned: 15 (million)
% 2.61/2.45 % (28347)------------------------------
% 2.61/2.45 % (28347)------------------------------
% 2.61/2.45 % (28350)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/7Mi)
% 2.61/2.45 % (28351)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/16Mi)
% 2.61/2.46 % (28352)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/3Mi)
% 2.61/2.46 % (28350)Instruction limit reached!
% 2.61/2.46 % (28350)------------------------------
% 2.61/2.46 % (28350)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.46 % (28350)Termination reason: Unknown
% 2.61/2.46 % (28350)Termination phase: Property scanning
% 2.61/2.46
% 2.61/2.46 % (28350)Memory used [KB]: 1279
% 2.61/2.46 % (28350)Time elapsed: 0.007 s
% 2.61/2.46 % (28350)Instructions burned: 8 (million)
% 2.61/2.46 % (28350)------------------------------
% 2.61/2.46 % (28350)------------------------------
% 2.61/2.46 % (28352)Instruction limit reached!
% 2.61/2.46 % (28352)------------------------------
% 2.61/2.46 % (28352)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.46 % (28352)Termination reason: Unknown
% 2.61/2.46 % (28352)Termination phase: shuffling
% 2.61/2.46
% 2.61/2.46 % (28352)Memory used [KB]: 1151
% 2.61/2.46 % (28352)Time elapsed: 0.002 s
% 2.61/2.46 % (28352)Instructions burned: 3 (million)
% 2.61/2.46 % (28352)------------------------------
% 2.61/2.46 % (28352)------------------------------
% 2.61/2.46 % (28351)Instruction limit reached!
% 2.61/2.46 % (28351)------------------------------
% 2.61/2.46 % (28351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.46 % (28351)Termination reason: Unknown
% 2.61/2.46 % (28351)Termination phase: Preprocessing 3
% 2.61/2.46
% 2.61/2.46 % (28351)Memory used [KB]: 1407
% 2.61/2.46 % (28351)Time elapsed: 0.007 s
% 2.61/2.46 % (28351)Instructions burned: 18 (million)
% 2.61/2.46 % (28351)------------------------------
% 2.61/2.46 % (28351)------------------------------
% 2.61/2.47 % (28353)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/3Mi)
% 2.61/2.47 % (28353)Instruction limit reached!
% 2.61/2.47 % (28353)------------------------------
% 2.61/2.47 % (28353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.47 % (28353)Termination reason: Unknown
% 2.61/2.47 % (28353)Termination phase: shuffling
% 2.61/2.47
% 2.61/2.47 % (28353)Memory used [KB]: 1151
% 2.61/2.47 % (28353)Time elapsed: 0.003 s
% 2.61/2.47 % (28353)Instructions burned: 4 (million)
% 2.61/2.47 % (28353)------------------------------
% 2.61/2.47 % (28353)------------------------------
% 2.61/2.47 % (28355)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/3Mi)
% 2.61/2.47 % (28355)Instruction limit reached!
% 2.61/2.47 % (28355)------------------------------
% 2.61/2.47 % (28355)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.47 % (28355)Termination reason: Unknown
% 2.61/2.47 % (28355)Termination phase: shuffling
% 2.61/2.47
% 2.61/2.47 % (28355)Memory used [KB]: 1279
% 2.61/2.47 % (28355)Time elapsed: 0.002 s
% 2.61/2.47 % (28355)Instructions burned: 3 (million)
% 2.61/2.47 % (28355)------------------------------
% 2.61/2.47 % (28355)------------------------------
% 2.61/2.47 % (28356)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/4Mi)
% 2.61/2.47 % (28356)Instruction limit reached!
% 2.61/2.47 % (28356)------------------------------
% 2.61/2.47 % (28356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.47 % (28356)Termination reason: Unknown
% 2.61/2.47 % (28356)Termination phase: shuffling
% 2.61/2.47
% 2.61/2.47 % (28356)Memory used [KB]: 1279
% 2.61/2.47 % (28356)Time elapsed: 0.004 s
% 2.61/2.47 % (28356)Instructions burned: 6 (million)
% 2.61/2.47 % (28356)------------------------------
% 2.61/2.47 % (28356)------------------------------
% 2.61/2.47 % (28338)Instruction limit reached!
% 2.61/2.47 % (28338)------------------------------
% 2.61/2.47 % (28338)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.47 % (28338)Termination reason: Unknown
% 2.61/2.47 % (28338)Termination phase: Saturation
% 2.61/2.47
% 2.61/2.47 % (28338)Memory used [KB]: 7036
% 2.61/2.47 % (28338)Time elapsed: 0.059 s
% 2.61/2.47 % (28338)Instructions burned: 185 (million)
% 2.61/2.47 % (28338)------------------------------
% 2.61/2.47 % (28338)------------------------------
% 2.61/2.48 % (28354)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/7Mi)
% 2.61/2.48 % (28357)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/18Mi)
% 2.61/2.48 % (28358)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/710Mi)
% 2.61/2.48 % (28354)Instruction limit reached!
% 2.61/2.48 % (28354)------------------------------
% 2.61/2.48 % (28354)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.48 % (28354)Termination reason: Unknown
% 2.61/2.48 % (28354)Termination phase: shuffling
% 2.61/2.48
% 2.61/2.48 % (28354)Memory used [KB]: 1279
% 2.61/2.48 % (28354)Time elapsed: 0.006 s
% 2.61/2.48 % (28354)Instructions burned: 7 (million)
% 2.61/2.48 % (28354)------------------------------
% 2.61/2.48 % (28354)------------------------------
% 2.61/2.48 % (28359)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/6Mi)
% 2.61/2.48 % (28360)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/902Mi)
% 2.61/2.48 % (28357)Instruction limit reached!
% 2.61/2.48 % (28357)------------------------------
% 2.61/2.48 % (28357)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.48 % (28357)Termination reason: Unknown
% 2.61/2.48 % (28357)Termination phase: Preprocessing 3
% 2.61/2.48
% 2.61/2.48 % (28357)Memory used [KB]: 1407
% 2.61/2.48 % (28357)Time elapsed: 0.008 s
% 2.61/2.48 % (28357)Instructions burned: 20 (million)
% 2.61/2.48 % (28357)------------------------------
% 2.61/2.48 % (28357)------------------------------
% 2.61/2.49 % (28359)Instruction limit reached!
% 2.61/2.49 % (28359)------------------------------
% 2.61/2.49 % (28359)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.49 % (28359)Termination reason: Unknown
% 2.61/2.49 % (28359)Termination phase: shuffling
% 2.61/2.49
% 2.61/2.49 % (28359)Memory used [KB]: 1279
% 2.61/2.49 % (28359)Time elapsed: 0.004 s
% 2.61/2.49 % (28359)Instructions burned: 6 (million)
% 2.61/2.49 % (28359)------------------------------
% 2.61/2.49 % (28359)------------------------------
% 2.61/2.50 % (28358)Refutation not found, incomplete strategy
% 2.61/2.50 % (28358)------------------------------
% 2.61/2.50 % (28358)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.50 % (28358)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.50
% 2.61/2.50
% 2.61/2.50 % (28358)Memory used [KB]: 6012
% 2.61/2.50 % (28358)Time elapsed: 0.038 s
% 2.61/2.50 % (28358)Instructions burned: 50 (million)
% 2.61/2.50 % (28358)------------------------------
% 2.61/2.50 % (28358)------------------------------
% 2.61/2.50 % (28362)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/5Mi)
% 2.61/2.50 % (28363)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/6Mi)
% 2.61/2.50 % (28362)Instruction limit reached!
% 2.61/2.50 % (28362)------------------------------
% 2.61/2.50 % (28362)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.50 % (28362)Termination reason: Unknown
% 2.61/2.50 % (28362)Termination phase: shuffling
% 2.61/2.50
% 2.61/2.50 % (28362)Memory used [KB]: 1279
% 2.61/2.50 % (28362)Time elapsed: 0.004 s
% 2.61/2.50 % (28362)Instructions burned: 6 (million)
% 2.61/2.50 % (28362)------------------------------
% 2.61/2.50 % (28362)------------------------------
% 2.61/2.50 % (28363)Instruction limit reached!
% 2.61/2.50 % (28363)------------------------------
% 2.61/2.50 % (28363)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.50 % (28363)Termination reason: Unknown
% 2.61/2.50 % (28363)Termination phase: shuffling
% 2.61/2.50
% 2.61/2.50 % (28363)Memory used [KB]: 1279
% 2.61/2.50 % (28363)Time elapsed: 0.003 s
% 2.61/2.50 % (28363)Instructions burned: 6 (million)
% 2.61/2.50 % (28363)------------------------------
% 2.61/2.50 % (28363)------------------------------
% 2.61/2.50 % (28361)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/21Mi)
% 2.61/2.51 % (28364)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/377Mi)
% 2.61/2.51 % (28365)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/779Mi)
% 2.61/2.51 % (28366)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/19Mi)
% 2.61/2.51 % (28361)Instruction limit reached!
% 2.61/2.51 % (28361)------------------------------
% 2.61/2.51 % (28361)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.51 % (28361)Termination reason: Unknown
% 2.61/2.51 % (28361)Termination phase: Property scanning
% 2.61/2.51
% 2.61/2.51 % (28361)Memory used [KB]: 1407
% 2.61/2.51 % (28361)Time elapsed: 0.013 s
% 2.61/2.51 % (28361)Instructions burned: 21 (million)
% 2.61/2.51 % (28361)------------------------------
% 2.61/2.51 % (28361)------------------------------
% 2.61/2.51 % (28366)Instruction limit reached!
% 2.61/2.51 % (28366)------------------------------
% 2.61/2.51 % (28366)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.51 % (28366)Termination reason: Unknown
% 2.61/2.51 % (28366)Termination phase: shuffling
% 2.61/2.51
% 2.61/2.51 % (28366)Memory used [KB]: 1535
% 2.61/2.51 % (28366)Time elapsed: 0.007 s
% 2.61/2.51 % (28366)Instructions burned: 21 (million)
% 2.61/2.51 % (28366)------------------------------
% 2.61/2.51 % (28366)------------------------------
% 2.61/2.52 % (28367)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_28205 for (2999ds/879Mi)
% 2.61/2.52 % (28368)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/17Mi)
% 2.61/2.53 % (28368)Instruction limit reached!
% 2.61/2.53 % (28368)------------------------------
% 2.61/2.53 % (28368)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.53 % (28368)Termination reason: Unknown
% 2.61/2.53 % (28368)Termination phase: Naming
% 2.61/2.53
% 2.61/2.53 % (28368)Memory used [KB]: 1407
% 2.61/2.53 % (28368)Time elapsed: 0.007 s
% 2.61/2.53 % (28368)Instructions burned: 18 (million)
% 2.61/2.53 % (28368)------------------------------
% 2.61/2.53 % (28368)------------------------------
% 2.61/2.54 % (28343)Instruction limit reached!
% 2.61/2.54 % (28343)------------------------------
% 2.61/2.54 % (28343)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.54 % (28343)Termination reason: Unknown
% 2.61/2.54 % (28343)Termination phase: Saturation
% 2.61/2.54
% 2.61/2.54 % (28343)Memory used [KB]: 6652
% 2.61/2.54 % (28343)Time elapsed: 0.116 s
% 2.61/2.54 % (28343)Instructions burned: 278 (million)
% 2.61/2.54 % (28343)------------------------------
% 2.61/2.54 % (28343)------------------------------
% 2.61/2.54 % (28369)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/3Mi)
% 2.61/2.54 % (28369)Instruction limit reached!
% 2.61/2.54 % (28369)------------------------------
% 2.61/2.54 % (28369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.54 % (28369)Termination reason: Unknown
% 2.61/2.54 % (28369)Termination phase: shuffling
% 2.61/2.54
% 2.61/2.54 % (28369)Memory used [KB]: 1151
% 2.61/2.54 % (28369)Time elapsed: 0.003 s
% 2.61/2.54 % (28369)Instructions burned: 5 (million)
% 2.61/2.54 % (28369)------------------------------
% 2.61/2.54 % (28369)------------------------------
% 2.61/2.55 % (28370)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/30Mi)
% 2.61/2.55 % (28371)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/127Mi)
% 2.61/2.56 % (28370)Instruction limit reached!
% 2.61/2.56 % (28370)------------------------------
% 2.61/2.56 % (28370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.56 % (28370)Termination reason: Unknown
% 2.61/2.56 % (28370)Termination phase: Preprocessing 3
% 2.61/2.56
% 2.61/2.56 % (28370)Memory used [KB]: 1407
% 2.61/2.56 % (28370)Time elapsed: 0.011 s
% 2.61/2.56 % (28370)Instructions burned: 30 (million)
% 2.61/2.56 % (28370)------------------------------
% 2.61/2.56 % (28370)------------------------------
% 2.61/2.57 % (28372)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/100Mi)
% 2.61/2.59 % (28371)Instruction limit reached!
% 2.61/2.59 % (28371)------------------------------
% 2.61/2.59 % (28371)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.59 % (28371)Termination reason: Unknown
% 2.61/2.59 % (28371)Termination phase: Saturation
% 2.61/2.59
% 2.61/2.59 % (28371)Memory used [KB]: 6524
% 2.61/2.59 % (28371)Time elapsed: 0.042 s
% 2.61/2.59 % (28371)Instructions burned: 127 (million)
% 2.61/2.59 % (28371)------------------------------
% 2.61/2.59 % (28371)------------------------------
% 2.61/2.60 % (28372)Instruction limit reached!
% 2.61/2.60 % (28372)------------------------------
% 2.61/2.60 % (28372)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.60 % (28372)Termination reason: Unknown
% 2.61/2.60 % (28372)Termination phase: Saturation
% 2.61/2.60
% 2.61/2.60 % (28372)Memory used [KB]: 6396
% 2.61/2.60 % (28372)Time elapsed: 0.032 s
% 2.61/2.60 % (28372)Instructions burned: 101 (million)
% 2.61/2.60 % (28372)------------------------------
% 2.61/2.60 % (28372)------------------------------
% 2.61/2.61 % (28373)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=3:si=on:rtra=on_0 on DTF2THF_28205 for (2998ds/3Mi)
% 2.61/2.61 % (28373)Instruction limit reached!
% 2.61/2.61 % (28373)------------------------------
% 2.61/2.61 % (28373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.61 % (28373)Termination reason: Unknown
% 2.61/2.61 % (28373)Termination phase: shuffling
% 2.61/2.61
% 2.61/2.61 % (28373)Memory used [KB]: 1279
% 2.61/2.61 % (28373)Time elapsed: 0.003 s
% 2.61/2.61 % (28373)Instructions burned: 4 (million)
% 2.61/2.61 % (28373)------------------------------
% 2.61/2.61 % (28373)------------------------------
% 2.61/2.61 % (28374)lrs+10_8:1_au=on:avsq=on:e2e=on:ins=3:s2a=on:s2at=3.0:ss=axioms:i=20:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/20Mi)
% 2.61/2.62 % (28375)dis+1002_1:1_cbe=off:hud=5:nm=4:plsq=on:plsqr=7,1:prag=on:sp=const_max:tnu=1:i=86:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/86Mi)
% 2.61/2.62 % (28374)Instruction limit reached!
% 2.61/2.62 % (28374)------------------------------
% 2.61/2.62 % (28374)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.62 % (28374)Termination reason: Unknown
% 2.61/2.62 % (28374)Termination phase: Preprocessing 1
% 2.61/2.62
% 2.61/2.62 % (28374)Memory used [KB]: 1279
% 2.61/2.62 % (28374)Time elapsed: 0.008 s
% 2.61/2.62 % (28374)Instructions burned: 22 (million)
% 2.61/2.62 % (28374)------------------------------
% 2.61/2.62 % (28374)------------------------------
% 2.61/2.62 % (28364)Instruction limit reached!
% 2.61/2.62 % (28364)------------------------------
% 2.61/2.62 % (28364)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.62 % (28364)Termination reason: Unknown
% 2.61/2.62 % (28364)Termination phase: Saturation
% 2.61/2.62
% 2.61/2.62 % (28364)Memory used [KB]: 7419
% 2.61/2.62 % (28364)Time elapsed: 0.141 s
% 2.61/2.62 % (28364)Instructions burned: 379 (million)
% 2.61/2.62 % (28364)------------------------------
% 2.61/2.62 % (28364)------------------------------
% 2.61/2.63 % (28376)lrs+1010_1:1_au=on:cbe=off:nm=2:ntd=on:sd=2:ss=axioms:st=5.0:i=107:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/107Mi)
% 2.61/2.63 % (28377)lrs+2_1:1024_cnfonf=lazy_gen:fe=off:hud=15:plsq=on:plsqc=1:plsqr=32,1:i=39:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/39Mi)
% 2.61/2.64 % (28377)Instruction limit reached!
% 2.61/2.64 % (28377)------------------------------
% 2.61/2.64 % (28377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.64 % (28377)Termination reason: Unknown
% 2.61/2.64 % (28377)Termination phase: Property scanning
% 2.61/2.64
% 2.61/2.64 % (28377)Memory used [KB]: 1535
% 2.61/2.64 % (28377)Time elapsed: 0.012 s
% 2.61/2.64 % (28377)Instructions burned: 42 (million)
% 2.61/2.64 % (28377)------------------------------
% 2.61/2.64 % (28377)------------------------------
% 2.61/2.65 % (28375)Instruction limit reached!
% 2.61/2.65 % (28375)------------------------------
% 2.61/2.65 % (28375)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.65 % (28375)Termination reason: Unknown
% 2.61/2.65 % (28375)Termination phase: Saturation
% 2.61/2.65
% 2.61/2.65 % (28375)Memory used [KB]: 6524
% 2.61/2.65 % (28375)Time elapsed: 0.029 s
% 2.61/2.65 % (28375)Instructions burned: 87 (million)
% 2.61/2.65 % (28375)------------------------------
% 2.61/2.65 % (28375)------------------------------
% 2.61/2.65 % (28378)dis+10_1:1_cnfonf=lazy_not_gen:fsr=off:kws=precedence:nwc=5.0:s2a=on:ss=axioms:st=1.5:i=448:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/448Mi)
% 2.61/2.66 % (28379)lrs+10_1:512_au=on:fde=unused:lma=on:nm=32:plsq=on:plsqc=1:plsqr=16121663,131072:sfv=off:sp=const_max:ss=axioms:st=3.0:tgt=full:i=46:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/46Mi)
% 2.61/2.66 % (28376)Instruction limit reached!
% 2.61/2.66 % (28376)------------------------------
% 2.61/2.66 % (28376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.66 % (28376)Termination reason: Unknown
% 2.61/2.66 % (28376)Termination phase: Saturation
% 2.61/2.66
% 2.61/2.66 % (28376)Memory used [KB]: 6524
% 2.61/2.66 % (28376)Time elapsed: 0.036 s
% 2.61/2.66 % (28376)Instructions burned: 108 (million)
% 2.61/2.66 % (28376)------------------------------
% 2.61/2.66 % (28376)------------------------------
% 2.61/2.67 % (28379)Instruction limit reached!
% 2.61/2.67 % (28379)------------------------------
% 2.61/2.67 % (28379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.67 % (28379)Termination reason: Unknown
% 2.61/2.67 % (28379)Termination phase: Property scanning
% 2.61/2.67
% 2.61/2.67 % (28379)Memory used [KB]: 1535
% 2.61/2.67 % (28379)Time elapsed: 0.015 s
% 2.61/2.67 % (28379)Instructions burned: 47 (million)
% 2.61/2.67 % (28379)------------------------------
% 2.61/2.67 % (28379)------------------------------
% 2.61/2.68 % (28380)lrs+10_1:10_au=on:av=off:cbe=off:cnfonf=lazy_pi_sigma_gen:ntd=on:plsq=on:plsqc=1:plsqr=32,1:i=98:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/98Mi)
% 2.61/2.68 % (28381)ott+1002_1:1_apa=on:au=on:bd=off:cnfonf=off:fd=off:sos=on:sp=weighted_frequency:i=507:si=on:rtra=on_0 on DTF2THF_28205 for (2997ds/507Mi)
% 2.61/2.71 % (28380)Instruction limit reached!
% 2.61/2.71 % (28380)------------------------------
% 2.61/2.71 % (28380)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.71 % (28380)Termination reason: Unknown
% 2.61/2.71 % (28380)Termination phase: Saturation
% 2.61/2.71
% 2.61/2.71 % (28380)Memory used [KB]: 1791
% 2.61/2.71 % (28380)Time elapsed: 0.031 s
% 2.61/2.71 % (28380)Instructions burned: 100 (million)
% 2.61/2.71 % (28380)------------------------------
% 2.61/2.71 % (28380)------------------------------
% 2.61/2.72 % (28382)dis+1010_2:3_amm=off:fd=preordered:ixr=off:nm=0:pe=on:piset=equals:prag=on:sac=on:tgt=ground:i=149:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/149Mi)
% 2.61/2.73 % (28378)Refutation not found, incomplete strategy
% 2.61/2.73 % (28378)------------------------------
% 2.61/2.73 % (28378)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.73 % (28378)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.73
% 2.61/2.73
% 2.61/2.73 % (28378)Memory used [KB]: 7803
% 2.61/2.73 % (28378)Time elapsed: 0.080 s
% 2.61/2.73 % (28378)Instructions burned: 274 (million)
% 2.61/2.73 % (28378)------------------------------
% 2.61/2.73 % (28378)------------------------------
% 2.61/2.74 % (28383)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/39Mi)
% 2.61/2.75 % (28383)Instruction limit reached!
% 2.61/2.75 % (28383)------------------------------
% 2.61/2.75 % (28383)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.75 % (28383)Termination reason: Unknown
% 2.61/2.75 % (28383)Termination phase: Property scanning
% 2.61/2.75
% 2.61/2.75 % (28383)Memory used [KB]: 1663
% 2.61/2.75 % (28383)Time elapsed: 0.013 s
% 2.61/2.75 % (28383)Instructions burned: 41 (million)
% 2.61/2.75 % (28383)------------------------------
% 2.61/2.75 % (28383)------------------------------
% 2.61/2.76 % (28360)Instruction limit reached!
% 2.61/2.76 % (28360)------------------------------
% 2.61/2.76 % (28360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.76 % (28360)Termination reason: Unknown
% 2.61/2.76 % (28360)Termination phase: Saturation
% 2.61/2.76
% 2.61/2.76 % (28360)Memory used [KB]: 9594
% 2.61/2.76 % (28360)Time elapsed: 0.293 s
% 2.61/2.76 % (28360)Instructions burned: 905 (million)
% 2.61/2.76 % (28360)------------------------------
% 2.61/2.76 % (28360)------------------------------
% 2.61/2.76 % (28384)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=6:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/6Mi)
% 2.61/2.76 % (28365)Instruction limit reached!
% 2.61/2.76 % (28365)------------------------------
% 2.61/2.76 % (28365)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.76 % (28365)Termination reason: Unknown
% 2.61/2.76 % (28365)Termination phase: Saturation
% 2.61/2.76
% 2.61/2.76 % (28365)Memory used [KB]: 7547
% 2.61/2.76 % (28365)Time elapsed: 0.283 s
% 2.61/2.76 % (28365)Instructions burned: 781 (million)
% 2.61/2.76 % (28365)------------------------------
% 2.61/2.76 % (28365)------------------------------
% 2.61/2.77 % (28385)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=1087:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/1087Mi)
% 2.61/2.77 % (28384)Instruction limit reached!
% 2.61/2.77 % (28384)------------------------------
% 2.61/2.77 % (28384)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.77 % (28384)Termination reason: Unknown
% 2.61/2.77 % (28384)Termination phase: shuffling
% 2.61/2.77
% 2.61/2.77 % (28384)Memory used [KB]: 1279
% 2.61/2.77 % (28384)Time elapsed: 0.004 s
% 2.61/2.77 % (28384)Instructions burned: 9 (million)
% 2.61/2.77 % (28384)------------------------------
% 2.61/2.77 % (28384)------------------------------
% 2.61/2.77 % (28382)Instruction limit reached!
% 2.61/2.77 % (28382)------------------------------
% 2.61/2.77 % (28382)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.77 % (28382)Termination reason: Unknown
% 2.61/2.77 % (28382)Termination phase: Saturation
% 2.61/2.77
% 2.61/2.77 % (28382)Memory used [KB]: 6652
% 2.61/2.77 % (28382)Time elapsed: 0.052 s
% 2.61/2.77 % (28382)Instructions burned: 150 (million)
% 2.61/2.77 % (28382)------------------------------
% 2.61/2.77 % (28382)------------------------------
% 2.61/2.78 % (28386)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/47Mi)
% 2.61/2.78 % (28387)lrs+1010_1:128_av=off:cbe=off:cnfonf=lazy_simp:fsr=off:ntd=on:ss=axioms:st=1.5:i=44:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/44Mi)
% 2.61/2.78 % (28388)dis+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=432:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/432Mi)
% 2.61/2.78 % (28349)Instruction limit reached!
% 2.61/2.78 % (28349)------------------------------
% 2.61/2.78 % (28349)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.78 % (28349)Termination reason: Unknown
% 2.61/2.78 % (28349)Termination phase: Saturation
% 2.61/2.78
% 2.61/2.78 % (28349)Memory used [KB]: 8187
% 2.61/2.78 % (28349)Time elapsed: 0.339 s
% 2.61/2.78 % (28349)Instructions burned: 1042 (million)
% 2.61/2.78 % (28349)------------------------------
% 2.61/2.78 % (28349)------------------------------
% 2.61/2.79 % (28387)Instruction limit reached!
% 2.61/2.79 % (28387)------------------------------
% 2.61/2.79 % (28387)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.79 % (28387)Termination reason: Unknown
% 2.61/2.79 % (28387)Termination phase: Property scanning
% 2.61/2.79
% 2.61/2.79 % (28387)Memory used [KB]: 1535
% 2.61/2.79 % (28387)Time elapsed: 0.013 s
% 2.61/2.79 % (28387)Instructions burned: 48 (million)
% 2.61/2.79 % (28387)------------------------------
% 2.61/2.79 % (28387)------------------------------
% 2.61/2.79 % (28386)Instruction limit reached!
% 2.61/2.79 % (28386)------------------------------
% 2.61/2.79 % (28386)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.79 % (28386)Termination reason: Unknown
% 2.61/2.79 % (28386)Termination phase: Property scanning
% 2.61/2.79
% 2.61/2.79 % (28386)Memory used [KB]: 1535
% 2.61/2.79 % (28386)Time elapsed: 0.015 s
% 2.61/2.79 % (28386)Instructions burned: 48 (million)
% 2.61/2.79 % (28386)------------------------------
% 2.61/2.79 % (28386)------------------------------
% 2.61/2.79 % (28385)Refutation not found, incomplete strategy
% 2.61/2.79 % (28385)------------------------------
% 2.61/2.79 % (28385)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.79 % (28385)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.79
% 2.61/2.79
% 2.61/2.79 % (28385)Memory used [KB]: 6140
% 2.61/2.79 % (28385)Time elapsed: 0.027 s
% 2.61/2.79 % (28385)Instructions burned: 77 (million)
% 2.61/2.79 % (28385)------------------------------
% 2.61/2.79 % (28385)------------------------------
% 2.61/2.79 % (28389)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/62Mi)
% 2.61/2.80 % (28390)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/31Mi)
% 2.61/2.80 % (28391)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/96Mi)
% 2.61/2.80 % (28392)lrs+1002_1:4_au=on:cbe=off:cnfonf=lazy_pi_sigma_gen:hud=15:inj=on:nwc=4.0:s2a=on:sac=on:sp=reverse_arity:i=453:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/453Mi)
% 2.61/2.81 % (28390)Instruction limit reached!
% 2.61/2.81 % (28390)------------------------------
% 2.61/2.81 % (28390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.81 % (28390)Termination reason: Unknown
% 2.61/2.81 % (28390)Termination phase: Property scanning
% 2.61/2.81
% 2.61/2.81 % (28390)Memory used [KB]: 1535
% 2.61/2.81 % (28390)Time elapsed: 0.010 s
% 2.61/2.81 % (28390)Instructions burned: 32 (million)
% 2.61/2.81 % (28390)------------------------------
% 2.61/2.81 % (28390)------------------------------
% 2.61/2.81 % (28389)Instruction limit reached!
% 2.61/2.81 % (28389)------------------------------
% 2.61/2.81 % (28389)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.81 % (28389)Termination reason: Unknown
% 2.61/2.81 % (28389)Termination phase: Property scanning
% 2.61/2.81
% 2.61/2.81 % (28389)Memory used [KB]: 1535
% 2.61/2.81 % (28389)Time elapsed: 0.017 s
% 2.61/2.81 % (28389)Instructions burned: 63 (million)
% 2.61/2.81 % (28389)------------------------------
% 2.61/2.81 % (28389)------------------------------
% 2.61/2.82 % (28393)lrs-1004_1:1_au=on:bsd=on:cbe=off:cnfonf=off:fe=axiom:fsd=on:i=71:si=on:rtra=on_0 on DTF2THF_28205 for (2996ds/71Mi)
% 2.61/2.82 % (28394)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/83Mi)
% 2.61/2.83 % (28367)Instruction limit reached!
% 2.61/2.83 % (28367)------------------------------
% 2.61/2.83 % (28367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.83 % (28367)Termination reason: Unknown
% 2.61/2.83 % (28367)Termination phase: Saturation
% 2.61/2.83
% 2.61/2.83 % (28367)Memory used [KB]: 7036
% 2.61/2.83 % (28367)Time elapsed: 0.330 s
% 2.61/2.83 % (28367)Instructions burned: 879 (million)
% 2.61/2.83 % (28367)------------------------------
% 2.61/2.83 % (28367)------------------------------
% 2.61/2.83 % (28391)Instruction limit reached!
% 2.61/2.83 % (28391)------------------------------
% 2.61/2.83 % (28391)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.83 % (28391)Termination reason: Unknown
% 2.61/2.83 % (28391)Termination phase: Saturation
% 2.61/2.83
% 2.61/2.83 % (28391)Memory used [KB]: 6396
% 2.61/2.83 % (28391)Time elapsed: 0.031 s
% 2.61/2.83 % (28391)Instructions burned: 98 (million)
% 2.61/2.83 % (28391)------------------------------
% 2.61/2.83 % (28391)------------------------------
% 2.61/2.84 % (28393)Instruction limit reached!
% 2.61/2.84 % (28393)------------------------------
% 2.61/2.84 % (28393)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.84 % (28393)Termination reason: Unknown
% 2.61/2.84 % (28393)Termination phase: Saturation
% 2.61/2.84
% 2.61/2.84 % (28393)Memory used [KB]: 6268
% 2.61/2.84 % (28393)Time elapsed: 0.021 s
% 2.61/2.84 % (28393)Instructions burned: 71 (million)
% 2.61/2.84 % (28393)------------------------------
% 2.61/2.84 % (28393)------------------------------
% 2.61/2.84 % (28398)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/11Mi)
% 2.61/2.84 % (28399)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_gen_be_off:fsr=off:spb=non_intro:i=41:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/41Mi)
% 2.61/2.84 % (28398)Instruction limit reached!
% 2.61/2.84 % (28398)------------------------------
% 2.61/2.84 % (28398)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.84 % (28398)Termination reason: Unknown
% 2.61/2.84 % (28398)Termination phase: shuffling
% 2.61/2.84
% 2.61/2.84 % (28398)Memory used [KB]: 1407
% 2.61/2.84 % (28398)Time elapsed: 0.005 s
% 2.61/2.84 % (28398)Instructions burned: 12 (million)
% 2.61/2.84 % (28398)------------------------------
% 2.61/2.84 % (28398)------------------------------
% 2.61/2.84 % (28394)Instruction limit reached!
% 2.61/2.84 % (28394)------------------------------
% 2.61/2.84 % (28394)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.84 % (28394)Termination reason: Unknown
% 2.61/2.84 % (28394)Termination phase: Saturation
% 2.61/2.84
% 2.61/2.84 % (28394)Memory used [KB]: 6268
% 2.61/2.84 % (28394)Time elapsed: 0.026 s
% 2.61/2.84 % (28394)Instructions burned: 85 (million)
% 2.61/2.84 % (28394)------------------------------
% 2.61/2.84 % (28394)------------------------------
% 2.61/2.85 % (28400)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/6Mi)
% 2.61/2.85 % (28400)Instruction limit reached!
% 2.61/2.85 % (28400)------------------------------
% 2.61/2.85 % (28400)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.85 % (28400)Termination reason: Unknown
% 2.61/2.85 % (28400)Termination phase: Property scanning
% 2.61/2.85
% 2.61/2.85 % (28400)Memory used [KB]: 1279
% 2.61/2.85 % (28400)Time elapsed: 0.004 s
% 2.61/2.85 % (28400)Instructions burned: 8 (million)
% 2.61/2.85 % (28400)------------------------------
% 2.61/2.85 % (28400)------------------------------
% 2.61/2.85 % (28399)Instruction limit reached!
% 2.61/2.85 % (28399)------------------------------
% 2.61/2.85 % (28399)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.85 % (28399)Termination reason: Unknown
% 2.61/2.85 % (28399)Termination phase: Property scanning
% 2.61/2.85
% 2.61/2.85 % (28399)Memory used [KB]: 1535
% 2.61/2.85 % (28399)Time elapsed: 0.012 s
% 2.61/2.85 % (28399)Instructions burned: 41 (million)
% 2.61/2.85 % (28399)------------------------------
% 2.61/2.85 % (28399)------------------------------
% 2.61/2.85 % (28401)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/150Mi)
% 2.61/2.85 % (28381)Instruction limit reached!
% 2.61/2.85 % (28381)------------------------------
% 2.61/2.85 % (28381)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.85 % (28381)Termination reason: Unknown
% 2.61/2.85 % (28381)Termination phase: Saturation
% 2.61/2.85
% 2.61/2.85 % (28381)Memory used [KB]: 7547
% 2.61/2.85 % (28381)Time elapsed: 0.175 s
% 2.61/2.85 % (28381)Instructions burned: 507 (million)
% 2.61/2.85 % (28381)------------------------------
% 2.61/2.85 % (28381)------------------------------
% 2.61/2.86 % (28402)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/343Mi)
% 2.61/2.86 % (28409)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=109:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/109Mi)
% 2.61/2.86 % (28412)dis+10_1:1_au=on:c=on:e2e=on:fsr=off:sos=all:sp=const_frequency:ss=axioms:i=253:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/253Mi)
% 2.61/2.86 % (28418)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/140Mi)
% 2.61/2.88 % (28418)Refutation not found, incomplete strategy
% 2.61/2.88 % (28418)------------------------------
% 2.61/2.88 % (28418)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.88 % (28418)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.88
% 2.61/2.88
% 2.61/2.88 % (28418)Memory used [KB]: 6012
% 2.61/2.88 % (28418)Time elapsed: 0.015 s
% 2.61/2.88 % (28418)Instructions burned: 43 (million)
% 2.61/2.88 % (28418)------------------------------
% 2.61/2.88 % (28418)------------------------------
% 2.61/2.89 % (28420)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=614:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/614Mi)
% 2.61/2.89 % (28409)Instruction limit reached!
% 2.61/2.89 % (28409)------------------------------
% 2.61/2.89 % (28409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.89 % (28409)Termination reason: Unknown
% 2.61/2.89 % (28409)Termination phase: Saturation
% 2.61/2.89
% 2.61/2.89 % (28409)Memory used [KB]: 6652
% 2.61/2.89 % (28409)Time elapsed: 0.033 s
% 2.61/2.89 % (28409)Instructions burned: 109 (million)
% 2.61/2.89 % (28409)------------------------------
% 2.61/2.89 % (28409)------------------------------
% 2.61/2.90 % (28401)Instruction limit reached!
% 2.61/2.90 % (28401)------------------------------
% 2.61/2.90 % (28401)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.90 % (28401)Termination reason: Unknown
% 2.61/2.90 % (28401)Termination phase: Saturation
% 2.61/2.90
% 2.61/2.90 % (28401)Memory used [KB]: 6652
% 2.61/2.90 % (28401)Time elapsed: 0.047 s
% 2.61/2.90 % (28401)Instructions burned: 152 (million)
% 2.61/2.90 % (28401)------------------------------
% 2.61/2.90 % (28401)------------------------------
% 2.61/2.90 % (28421)lrs+1002_1:1_e2e=on:fde=unused:fe=axiom:prag=on:sd=1:sos=on:ss=axioms:st=2.0:i=202:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/202Mi)
% 2.61/2.91 % (28422)dis+1002_1:1_au=on:cs=on:ins=3:kws=inv_frequency:nwc=10.0:ss=axioms:st=3.0:i=339:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/339Mi)
% 2.61/2.91 % (28421)Refutation not found, incomplete strategy
% 2.61/2.91 % (28421)------------------------------
% 2.61/2.91 % (28421)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.91 % (28421)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.91
% 2.61/2.91
% 2.61/2.91 % (28421)Memory used [KB]: 5884
% 2.61/2.91 % (28421)Time elapsed: 0.008 s
% 2.61/2.91 % (28421)Instructions burned: 22 (million)
% 2.61/2.91 % (28421)------------------------------
% 2.61/2.91 % (28421)------------------------------
% 2.61/2.92 % (28388)Instruction limit reached!
% 2.61/2.92 % (28388)------------------------------
% 2.61/2.92 % (28388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.92 % (28388)Termination reason: Unknown
% 2.61/2.92 % (28388)Termination phase: Saturation
% 2.61/2.92
% 2.61/2.92 % (28388)Memory used [KB]: 2814
% 2.61/2.92 % (28388)Time elapsed: 0.139 s
% 2.61/2.92 % (28388)Instructions burned: 432 (million)
% 2.61/2.92 % (28388)------------------------------
% 2.61/2.92 % (28388)------------------------------
% 2.61/2.92 % (28423)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=283:si=on:rtra=on_0 on DTF2THF_28205 for (2995ds/283Mi)
% 2.61/2.93 % (28424)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/134Mi)
% 2.61/2.94 % (28412)Instruction limit reached!
% 2.61/2.94 % (28412)------------------------------
% 2.61/2.94 % (28412)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.94 % (28412)Termination reason: Unknown
% 2.61/2.94 % (28412)Termination phase: Saturation
% 2.61/2.94
% 2.61/2.94 % (28412)Memory used [KB]: 6908
% 2.61/2.94 % (28412)Time elapsed: 0.079 s
% 2.61/2.94 % (28412)Instructions burned: 254 (million)
% 2.61/2.94 % (28412)------------------------------
% 2.61/2.94 % (28412)------------------------------
% 2.61/2.94 % (28392)Instruction limit reached!
% 2.61/2.94 % (28392)------------------------------
% 2.61/2.94 % (28392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.94 % (28392)Termination reason: Unknown
% 2.61/2.94 % (28392)Termination phase: Saturation
% 2.61/2.94
% 2.61/2.94 % (28392)Memory used [KB]: 6908
% 2.61/2.94 % (28392)Time elapsed: 0.142 s
% 2.61/2.94 % (28392)Instructions burned: 455 (million)
% 2.61/2.94 % (28392)------------------------------
% 2.61/2.94 % (28392)------------------------------
% 2.61/2.95 % (28425)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/298Mi)
% 2.61/2.95 % (28426)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/192Mi)
% 2.61/2.96 % (28402)Instruction limit reached!
% 2.61/2.96 % (28402)------------------------------
% 2.61/2.96 % (28402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.96 % (28402)Termination reason: Unknown
% 2.61/2.96 % (28402)Termination phase: Saturation
% 2.61/2.96
% 2.61/2.96 % (28402)Memory used [KB]: 7547
% 2.61/2.96 % (28402)Time elapsed: 0.104 s
% 2.61/2.96 % (28402)Instructions burned: 344 (million)
% 2.61/2.96 % (28402)------------------------------
% 2.61/2.96 % (28402)------------------------------
% 2.61/2.97 % (28424)Instruction limit reached!
% 2.61/2.97 % (28424)------------------------------
% 2.61/2.97 % (28424)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.97 % (28424)Termination reason: Unknown
% 2.61/2.97 % (28424)Termination phase: Saturation
% 2.61/2.97
% 2.61/2.97 % (28424)Memory used [KB]: 6524
% 2.61/2.97 % (28424)Time elapsed: 0.063 s
% 2.61/2.97 % (28424)Instructions burned: 135 (million)
% 2.61/2.97 % (28424)------------------------------
% 2.61/2.97 % (28424)------------------------------
% 2.61/2.97 % (28427)lrs+10_1:1_bd=off:hud=1:nm=0:prag=on:sd=2:sgt=32:sos=all:ss=axioms:i=258:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/258Mi)
% 2.61/2.98 % (28428)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/90Mi)
% 2.61/2.98 % (28426)Refutation not found, incomplete strategy
% 2.61/2.98 % (28426)------------------------------
% 2.61/2.98 % (28426)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/2.98 % (28426)Termination reason: Refutation not found, incomplete strategy
% 2.61/2.98
% 2.61/2.98
% 2.61/2.98 % (28426)Memory used [KB]: 6780
% 2.61/2.98 % (28426)Time elapsed: 0.032 s
% 2.61/2.98 % (28426)Instructions burned: 104 (million)
% 2.61/2.98 % (28426)------------------------------
% 2.61/2.98 % (28426)------------------------------
% 2.61/2.99 % (28429)dis+1004_16:1_avsq=on:avsqr=1,16:cnfonf=lazy_gen:cs=on:fe=off:tgt=ground:tnu=1:i=231:si=on:rtra=on_0 on DTF2THF_28205 for (2994ds/231Mi)
% 2.61/3.00 % (28428)Instruction limit reached!
% 2.61/3.00 % (28428)------------------------------
% 2.61/3.00 % (28428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/3.00 % (28428)Termination reason: Unknown
% 2.61/3.00 % (28428)Termination phase: Saturation
% 2.61/3.00
% 2.61/3.00 % (28428)Memory used [KB]: 6396
% 2.61/3.00 % (28428)Time elapsed: 0.028 s
% 2.61/3.00 % (28428)Instructions burned: 92 (million)
% 2.61/3.00 % (28428)------------------------------
% 2.61/3.00 % (28428)------------------------------
% 2.61/3.00 % (28423)Instruction limit reached!
% 2.61/3.00 % (28423)------------------------------
% 2.61/3.00 % (28423)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/3.00 % (28423)Termination reason: Unknown
% 2.61/3.00 % (28423)Termination phase: Saturation
% 2.61/3.00
% 2.61/3.00 % (28423)Memory used [KB]: 6908
% 2.61/3.00 % (28423)Time elapsed: 0.110 s
% 2.61/3.00 % (28423)Instructions burned: 285 (million)
% 2.61/3.00 % (28423)------------------------------
% 2.61/3.00 % (28423)------------------------------
% 6.76/3.01 % (28422)Instruction limit reached!
% 6.76/3.01 % (28422)------------------------------
% 6.76/3.01 % (28422)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.01 % (28422)Termination reason: Unknown
% 6.76/3.01 % (28422)Termination phase: Saturation
% 6.76/3.01
% 6.76/3.01 % (28422)Memory used [KB]: 7291
% 6.76/3.01 % (28422)Time elapsed: 0.130 s
% 6.76/3.01 % (28422)Instructions burned: 340 (million)
% 6.76/3.01 % (28422)------------------------------
% 6.76/3.01 % (28422)------------------------------
% 6.76/3.01 % (28431)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/31Mi)
% 6.76/3.02 % (28430)lrs+1002_1:1_au=on:s2a=on:sgt=32:slsq=on:slsqc=1:slsql=off:ss=axioms:i=458:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/458Mi)
% 6.76/3.02 % (28432)lrs+10_1:1_cnfonf=lazy_gen:kws=inv_precedence:nwc=10.0:s2a=on:sp=weighted_frequency:ss=axioms:i=297:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/297Mi)
% 6.76/3.02 % (28431)Instruction limit reached!
% 6.76/3.02 % (28431)------------------------------
% 6.76/3.02 % (28431)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.02 % (28431)Termination reason: Unknown
% 6.76/3.02 % (28431)Termination phase: Property scanning
% 6.76/3.02
% 6.76/3.02 % (28431)Memory used [KB]: 1535
% 6.76/3.02 % (28431)Time elapsed: 0.011 s
% 6.76/3.02 % (28431)Instructions burned: 35 (million)
% 6.76/3.02 % (28431)------------------------------
% 6.76/3.02 % (28431)------------------------------
% 6.76/3.03 % (28433)dis+2_1:4_amm=off:au=on:cbe=off:cnfonf=lazy_gen:hfaw=0:hfsq=on:hfsql=off:plsq=on:plsqc=1:plsqr=35,4:sac=on:i=987:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/987Mi)
% 6.76/3.04 % (28425)Instruction limit reached!
% 6.76/3.04 % (28425)------------------------------
% 6.76/3.04 % (28425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.04 % (28425)Termination reason: Unknown
% 6.76/3.04 % (28425)Termination phase: Saturation
% 6.76/3.04
% 6.76/3.04 % (28425)Memory used [KB]: 7803
% 6.76/3.04 % (28425)Time elapsed: 0.113 s
% 6.76/3.04 % (28425)Instructions burned: 300 (million)
% 6.76/3.04 % (28425)------------------------------
% 6.76/3.04 % (28425)------------------------------
% 6.76/3.05 % (28434)lrs+10_1:1024_avsq=on:avsqc=4:avsqr=584411,1048576:bd=off:bet=on:br=off:chr=on:fsd=on:fsdmm=1:hud=10:nm=0:ntd=on:nwc=9.0:piset=or:plsq=on:plsqc=2:plsql=on:plsqr=852219,1048576:rawr=on:sp=const_frequency:spb=units:i=182:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/182Mi)
% 6.76/3.05 % (28427)Instruction limit reached!
% 6.76/3.05 % (28427)------------------------------
% 6.76/3.05 % (28427)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.05 % (28427)Termination reason: Unknown
% 6.76/3.05 % (28427)Termination phase: Saturation
% 6.76/3.05
% 6.76/3.05 % (28427)Memory used [KB]: 7803
% 6.76/3.05 % (28427)Time elapsed: 0.109 s
% 6.76/3.05 % (28427)Instructions burned: 260 (million)
% 6.76/3.05 % (28427)------------------------------
% 6.76/3.05 % (28427)------------------------------
% 6.76/3.06 % (28435)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=182:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/182Mi)
% 6.76/3.06 % (28429)Instruction limit reached!
% 6.76/3.06 % (28429)------------------------------
% 6.76/3.06 % (28429)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.06 % (28429)Termination reason: Unknown
% 6.76/3.06 % (28429)Termination phase: Saturation
% 6.76/3.06
% 6.76/3.06 % (28429)Memory used [KB]: 6652
% 6.76/3.06 % (28429)Time elapsed: 0.072 s
% 6.76/3.06 % (28429)Instructions burned: 232 (million)
% 6.76/3.06 % (28429)------------------------------
% 6.76/3.06 % (28429)------------------------------
% 6.76/3.07 % (28436)dis+10_1:8_cha=on:cnfonf=lazy_pi_sigma_gen:fe=axiom:hud=5:plsq=on:plsqr=32,1:prag=on:sos=all:i=154:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/154Mi)
% 6.76/3.08 % (28420)Instruction limit reached!
% 6.76/3.08 % (28420)------------------------------
% 6.76/3.08 % (28420)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.08 % (28420)Termination reason: Unknown
% 6.76/3.08 % (28420)Termination phase: Saturation
% 6.76/3.08
% 6.76/3.08 % (28420)Memory used [KB]: 7803
% 6.76/3.08 % (28420)Time elapsed: 0.193 s
% 6.76/3.08 % (28420)Instructions burned: 616 (million)
% 6.76/3.08 % (28420)------------------------------
% 6.76/3.08 % (28420)------------------------------
% 6.76/3.09 % (28437)dis+1003_1:64_atotf=0.4:au=on:fsr=off:hflw=5:hfsq=on:hfsqc=20:hfsql=off:plsq=on:plsqc=1:plsqr=32,1:i=79:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/79Mi)
% 6.76/3.10 % (28436)Refutation not found, incomplete strategy
% 6.76/3.10 % (28436)------------------------------
% 6.76/3.10 % (28436)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.10 % (28436)Termination reason: Refutation not found, incomplete strategy
% 6.76/3.10
% 6.76/3.10
% 6.76/3.10 % (28436)Memory used [KB]: 6396
% 6.76/3.10 % (28436)Time elapsed: 0.024 s
% 6.76/3.10 % (28436)Instructions burned: 86 (million)
% 6.76/3.10 % (28436)------------------------------
% 6.76/3.10 % (28436)------------------------------
% 6.76/3.10 % (28434)Instruction limit reached!
% 6.76/3.10 % (28434)------------------------------
% 6.76/3.10 % (28434)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.76/3.10 % (28434)Termination reason: Unknown
% 6.76/3.10 % (28434)Termination phase: Saturation
% 6.76/3.10
% 6.76/3.10 % (28434)Memory used [KB]: 6780
% 6.76/3.10 % (28434)Time elapsed: 0.057 s
% 6.76/3.10 % (28434)Instructions burned: 184 (million)
% 6.76/3.10 % (28434)------------------------------
% 6.76/3.10 % (28434)------------------------------
% 6.76/3.11 % (28438)dis+1010_5:2_anc=all_dependent:awrs=converge:bd=off:bet=on:c=on:cha=on:cnfonf=lazy_not_gen_be_off:fe=axiom:hud=5:kws=precedence:piset=and:prag=on:s2a=on:sac=on:slsq=on:slsqc=1:sp=reverse_arity:ss=axioms:st=1.5:i=216:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/216Mi)
% 7.11/3.11 % (28439)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_28205 for (2993ds/114Mi)
% 7.11/3.11 % (28432)Instruction limit reached!
% 7.11/3.11 % (28432)------------------------------
% 7.11/3.11 % (28432)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.11 % (28432)Termination reason: Unknown
% 7.11/3.11 % (28432)Termination phase: Saturation
% 7.11/3.11
% 7.11/3.11 % (28432)Memory used [KB]: 6908
% 7.11/3.11 % (28432)Time elapsed: 0.091 s
% 7.11/3.11 % (28432)Instructions burned: 298 (million)
% 7.11/3.11 % (28432)------------------------------
% 7.11/3.11 % (28432)------------------------------
% 7.11/3.11 % (28437)Instruction limit reached!
% 7.11/3.11 % (28437)------------------------------
% 7.11/3.11 % (28437)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.11 % (28437)Termination reason: Unknown
% 7.11/3.11 % (28437)Termination phase: Saturation
% 7.11/3.11
% 7.11/3.11 % (28437)Memory used [KB]: 6396
% 7.11/3.11 % (28437)Time elapsed: 0.025 s
% 7.11/3.11 % (28437)Instructions burned: 81 (million)
% 7.11/3.11 % (28437)------------------------------
% 7.11/3.11 % (28437)------------------------------
% 7.11/3.12 % (28435)Instruction limit reached!
% 7.11/3.12 % (28435)------------------------------
% 7.11/3.12 % (28435)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.12 % (28435)Termination reason: Unknown
% 7.11/3.12 % (28435)Termination phase: Saturation
% 7.11/3.12
% 7.11/3.12 % (28435)Memory used [KB]: 6908
% 7.11/3.12 % (28435)Time elapsed: 0.058 s
% 7.11/3.12 % (28435)Instructions burned: 182 (million)
% 7.11/3.12 % (28435)------------------------------
% 7.11/3.12 % (28435)------------------------------
% 7.11/3.12 % (28440)dis+1002_1:1_acc=on:au=on:bd=off:e2e=on:sgt=8:ss=axioms:i=922:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/922Mi)
% 7.11/3.12 % (28441)lrs+10_1:128_au=on:bd=off:cnfonf=lazy_not_gen_be_off:nwc=10.0:piset=and:i=182:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/182Mi)
% 7.11/3.13 % (28442)ott+1010_1:1024_au=on:av=off:c=on:cnfonf=conj_eager:piset=equals:s2a=on:sp=occurrence:spb=units:ss=axioms:i=164:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/164Mi)
% 7.11/3.15 % (28439)Instruction limit reached!
% 7.11/3.15 % (28439)------------------------------
% 7.11/3.15 % (28439)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.15 % (28439)Termination reason: Unknown
% 7.11/3.15 % (28439)Termination phase: Saturation
% 7.11/3.15
% 7.11/3.15 % (28439)Memory used [KB]: 6524
% 7.11/3.15 % (28439)Time elapsed: 0.035 s
% 7.11/3.15 % (28439)Instructions burned: 114 (million)
% 7.11/3.15 % (28439)------------------------------
% 7.11/3.15 % (28439)------------------------------
% 7.11/3.16 % (28443)lrs+1004_1:1_cnfonf=lazy_pi_sigma_gen:fe=off:gs=on:hud=10:prag=on:tnu=1:i=50:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/50Mi)
% 7.11/3.17 % (28443)Instruction limit reached!
% 7.11/3.17 % (28443)------------------------------
% 7.11/3.17 % (28443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.17 % (28443)Termination reason: Unknown
% 7.11/3.17 % (28443)Termination phase: Property scanning
% 7.11/3.17
% 7.11/3.17 % (28443)Memory used [KB]: 1535
% 7.11/3.17 % (28443)Time elapsed: 0.015 s
% 7.11/3.17 % (28443)Instructions burned: 52 (million)
% 7.11/3.17 % (28443)------------------------------
% 7.11/3.17 % (28443)------------------------------
% 7.11/3.17 % (28430)Instruction limit reached!
% 7.11/3.17 % (28430)------------------------------
% 7.11/3.17 % (28430)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.17 % (28430)Termination reason: Unknown
% 7.11/3.17 % (28430)Termination phase: Saturation
% 7.11/3.17
% 7.11/3.17 % (28430)Memory used [KB]: 7803
% 7.11/3.17 % (28430)Time elapsed: 0.152 s
% 7.11/3.17 % (28430)Instructions burned: 459 (million)
% 7.11/3.17 % (28430)------------------------------
% 7.11/3.17 % (28430)------------------------------
% 7.11/3.17 % (28438)Instruction limit reached!
% 7.11/3.17 % (28438)------------------------------
% 7.11/3.17 % (28438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.17 % (28438)Termination reason: Unknown
% 7.11/3.17 % (28438)Termination phase: Saturation
% 7.11/3.17
% 7.11/3.17 % (28438)Memory used [KB]: 6652
% 7.11/3.17 % (28438)Time elapsed: 0.066 s
% 7.11/3.17 % (28438)Instructions burned: 218 (million)
% 7.11/3.17 % (28438)------------------------------
% 7.11/3.17 % (28438)------------------------------
% 7.11/3.17 % (28441)Instruction limit reached!
% 7.11/3.17 % (28441)------------------------------
% 7.11/3.17 % (28441)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.17 % (28441)Termination reason: Unknown
% 7.11/3.17 % (28441)Termination phase: Saturation
% 7.11/3.17
% 7.11/3.17 % (28441)Memory used [KB]: 6908
% 7.11/3.17 % (28441)Time elapsed: 0.052 s
% 7.11/3.17 % (28441)Instructions burned: 183 (million)
% 7.11/3.17 % (28441)------------------------------
% 7.11/3.17 % (28441)------------------------------
% 7.11/3.18 % (28442)Instruction limit reached!
% 7.11/3.18 % (28442)------------------------------
% 7.11/3.18 % (28442)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.18 % (28442)Termination reason: Unknown
% 7.11/3.18 % (28442)Termination phase: Saturation
% 7.11/3.18
% 7.11/3.18 % (28442)Memory used [KB]: 2046
% 7.11/3.18 % (28442)Time elapsed: 0.048 s
% 7.11/3.18 % (28442)Instructions burned: 165 (million)
% 7.11/3.18 % (28442)------------------------------
% 7.11/3.18 % (28442)------------------------------
% 7.11/3.18 % (28444)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/368Mi)
% 7.11/3.18 % (28446)dis+10_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=267:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/267Mi)
% 7.11/3.18 % (28445)dis+2_1:1_bd=off:e2e=on:hud=1:nm=3:piset=or:prag=on:s2a=on:sp=const_max:i=1021:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/1021Mi)
% 7.11/3.18 % (28447)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=204:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/204Mi)
% 7.11/3.19 % (28448)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/26Mi)
% 7.11/3.19 % (28448)Instruction limit reached!
% 7.11/3.19 % (28448)------------------------------
% 7.11/3.19 % (28448)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.11/3.19 % (28448)Termination reason: Unknown
% 7.11/3.19 % (28448)Termination phase: Property scanning
% 7.11/3.19
% 7.11/3.19 % (28448)Memory used [KB]: 1535
% 7.11/3.19 % (28448)Time elapsed: 0.008 s
% 7.11/3.19 % (28448)Instructions burned: 26 (million)
% 7.11/3.19 % (28448)------------------------------
% 7.11/3.19 % (28448)------------------------------
% 7.74/3.20 % (28449)dis+1002_1:1_bd=preordered:c=on:cbe=off:cnfonf=lazy_not_gen_be_off:hud=10:ixr=off:prag=on:i=53:si=on:rtra=on_0 on DTF2THF_28205 for (2992ds/53Mi)
% 7.74/3.22 % (28449)Instruction limit reached!
% 7.74/3.22 % (28449)------------------------------
% 7.74/3.22 % (28449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/3.22 % (28449)Termination reason: Unknown
% 7.74/3.22 % (28449)Termination phase: Property scanning
% 7.74/3.22
% 7.74/3.22 % (28449)Memory used [KB]: 1535
% 7.74/3.22 % (28449)Time elapsed: 0.016 s
% 7.74/3.22 % (28449)Instructions burned: 57 (million)
% 7.74/3.22 % (28449)------------------------------
% 7.74/3.22 % (28449)------------------------------
% 7.74/3.23 % (28450)dis+1002_1:1_aac=none:au=on:e2e=on:nm=2:nwc=10.0:sd=1:ss=axioms:st=3.0:i=4436:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/4436Mi)
% 7.74/3.25 % (28447)Instruction limit reached!
% 7.74/3.25 % (28447)------------------------------
% 7.74/3.25 % (28447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/3.25 % (28447)Termination reason: Unknown
% 7.74/3.25 % (28447)Termination phase: Saturation
% 7.74/3.25
% 7.74/3.25 % (28447)Memory used [KB]: 6780
% 7.74/3.25 % (28447)Time elapsed: 0.062 s
% 7.74/3.25 % (28447)Instructions burned: 206 (million)
% 7.74/3.25 % (28447)------------------------------
% 7.74/3.25 % (28447)------------------------------
% 7.74/3.25 % (28450)Refutation not found, incomplete strategy
% 7.74/3.25 % (28450)------------------------------
% 7.74/3.25 % (28450)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/3.25 % (28450)Termination reason: Refutation not found, incomplete strategy
% 7.74/3.25
% 7.74/3.25
% 7.74/3.25 % (28450)Memory used [KB]: 6140
% 7.74/3.25 % (28450)Time elapsed: 0.026 s
% 7.74/3.25 % (28450)Instructions burned: 73 (million)
% 7.74/3.25 % (28450)------------------------------
% 7.74/3.25 % (28450)------------------------------
% 7.74/3.26 % (28451)dis+1010_1:1_acc=model:avsq=on:ixr=off:prag=on:s2a=on:sac=on:i=1539:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/1539Mi)
% 7.74/3.26 % (28452)lrs+2_1:1_bd=off:e2e=on:fde=none:kws=inv_precedence:plsq=on:plsqr=32,1:sos=on:i=408:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/408Mi)
% 7.74/3.27 % (28446)Instruction limit reached!
% 7.74/3.27 % (28446)------------------------------
% 7.74/3.27 % (28446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/3.27 % (28446)Termination reason: Unknown
% 7.74/3.27 % (28446)Termination phase: Saturation
% 7.74/3.27
% 7.74/3.27 % (28446)Memory used [KB]: 6908
% 7.74/3.27 % (28446)Time elapsed: 0.085 s
% 7.74/3.27 % (28446)Instructions burned: 268 (million)
% 7.74/3.27 % (28446)------------------------------
% 7.74/3.27 % (28446)------------------------------
% 7.74/3.28 % (28453)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=5205:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/5205Mi)
% 7.74/3.29 % (28452)Refutation not found, incomplete strategy
% 7.74/3.29 % (28452)------------------------------
% 7.74/3.29 % (28452)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.74/3.29 % (28452)Termination reason: Refutation not found, incomplete strategy
% 7.74/3.29
% 7.74/3.29
% 7.74/3.29 % (28452)Memory used [KB]: 6652
% 7.74/3.29 % (28452)Time elapsed: 0.027 s
% 7.74/3.29 % (28452)Instructions burned: 90 (million)
% 7.74/3.29 % (28452)------------------------------
% 7.74/3.29 % (28452)------------------------------
% 8.00/3.30 % (28444)Instruction limit reached!
% 8.00/3.30 % (28444)------------------------------
% 8.00/3.30 % (28444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.30 % (28444)Termination reason: Unknown
% 8.00/3.30 % (28444)Termination phase: Saturation
% 8.00/3.30
% 8.00/3.30 % (28444)Memory used [KB]: 7291
% 8.00/3.30 % (28444)Time elapsed: 0.118 s
% 8.00/3.30 % (28444)Instructions burned: 369 (million)
% 8.00/3.30 % (28444)------------------------------
% 8.00/3.30 % (28444)------------------------------
% 8.00/3.30 % (28454)dis+1010_1:4_au=on:av=off:cbe=off:nwc=10.0:s2a=on:s2at=3.0:sd=2:ss=axioms:st=5.0:i=1913:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/1913Mi)
% 8.00/3.31 % (28455)lrs+2_1:1_bd=off:cbe=off:piset=equals:sd=1:sgt=20:sos=all:ss=axioms:i=4350:si=on:rtra=on_0 on DTF2THF_28205 for (2991ds/4350Mi)
% 8.00/3.31 % (28455)Refutation not found, incomplete strategy
% 8.00/3.31 % (28455)------------------------------
% 8.00/3.31 % (28455)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.31 % (28455)Termination reason: Refutation not found, incomplete strategy
% 8.00/3.31
% 8.00/3.31
% 8.00/3.31 % (28455)Memory used [KB]: 5884
% 8.00/3.31 % (28455)Time elapsed: 0.008 s
% 8.00/3.31 % (28455)Instructions burned: 19 (million)
% 8.00/3.31 % (28455)------------------------------
% 8.00/3.31 % (28455)------------------------------
% 8.00/3.32 % (28456)ott+1010_1:4_cbe=off:chr=on:hfsq=on:hfsqr=1,16:hud=3:sac=on:sp=unary_frequency:ss=axioms:st=5.0:tnu=2:i=68:si=on:rtra=on_0 on DTF2THF_28205 for (2990ds/68Mi)
% 8.00/3.34 % (28433)Instruction limit reached!
% 8.00/3.34 % (28433)------------------------------
% 8.00/3.34 % (28433)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.34 % (28433)Termination reason: Unknown
% 8.00/3.34 % (28433)Termination phase: Saturation
% 8.00/3.34
% 8.00/3.34 % (28433)Memory used [KB]: 7931
% 8.00/3.34 % (28433)Time elapsed: 0.304 s
% 8.00/3.34 % (28433)Instructions burned: 989 (million)
% 8.00/3.34 % (28433)------------------------------
% 8.00/3.34 % (28433)------------------------------
% 8.00/3.34 % (28456)Instruction limit reached!
% 8.00/3.34 % (28456)------------------------------
% 8.00/3.34 % (28456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.34 % (28456)Termination reason: Unknown
% 8.00/3.34 % (28456)Termination phase: Saturation
% 8.00/3.34
% 8.00/3.34 % (28456)Memory used [KB]: 6268
% 8.00/3.34 % (28456)Time elapsed: 0.021 s
% 8.00/3.34 % (28456)Instructions burned: 69 (million)
% 8.00/3.34 % (28456)------------------------------
% 8.00/3.34 % (28456)------------------------------
% 8.00/3.35 % (28457)dis+10_1:1_au=on:nwc=5.0:s2a=on:s2at=2.0:sac=on:sd=7:ss=axioms:st=2.0:i=358:si=on:rtra=on_0 on DTF2THF_28205 for (2990ds/358Mi)
% 8.00/3.35 % (28458)lrs+1010_1:16_add=large:amm=off:anc=all_dependent:chr=on:fd=off:ins=2:sp=const_max:tnu=5:uhcvi=on:i=31:si=on:rtra=on_0 on DTF2THF_28205 for (2990ds/31Mi)
% 8.00/3.36 % (28458)Instruction limit reached!
% 8.00/3.36 % (28458)------------------------------
% 8.00/3.36 % (28458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.36 % (28458)Termination reason: Unknown
% 8.00/3.36 % (28458)Termination phase: Property scanning
% 8.00/3.36
% 8.00/3.36 % (28458)Memory used [KB]: 1535
% 8.00/3.36 % (28458)Time elapsed: 0.011 s
% 8.00/3.36 % (28458)Instructions burned: 35 (million)
% 8.00/3.36 % (28458)------------------------------
% 8.00/3.36 % (28458)------------------------------
% 8.00/3.37 % (28459)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_28205 for (2990ds/279Mi)
% 8.00/3.39 % (28459)Refutation not found, incomplete strategy
% 8.00/3.39 % (28459)------------------------------
% 8.00/3.39 % (28459)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.00/3.39 % (28459)Termination reason: Refutation not found, incomplete strategy
% 8.00/3.39
% 8.00/3.39
% 8.00/3.39 % (28459)Memory used [KB]: 6268
% 8.00/3.39 % (28459)Time elapsed: 0.022 s
% 8.00/3.39 % (28459)Instructions burned: 74 (million)
% 8.00/3.39 % (28459)------------------------------
% 8.00/3.39 % (28459)------------------------------
% 8.53/3.40 % (28440)Instruction limit reached!
% 8.53/3.40 % (28440)------------------------------
% 8.53/3.40 % (28440)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.53/3.40 % (28440)Termination reason: Unknown
% 8.53/3.40 % (28440)Termination phase: Saturation
% 8.53/3.40
% 8.53/3.40 % (28440)Memory used [KB]: 9083
% 8.53/3.40 % (28440)Time elapsed: 0.277 s
% 8.53/3.40 % (28440)Instructions burned: 922 (million)
% 8.53/3.40 % (28440)------------------------------
% 8.53/3.40 % (28440)------------------------------
% 8.53/3.40 % (28460)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_28205 for (2990ds/258Mi)
% 8.53/3.41 % (28461)dis+2_1:1024_atotf=0.0802881:au=on:bs=unit_only:cnfonf=lazy_not_gen_be_off:fde=none:nwc=10.0:prag=on:i=26:si=on:rtra=on_0 on DTF2THF_28205 for (2989ds/26Mi)
% 8.53/3.42 % (28461)Instruction limit reached!
% 8.53/3.42 % (28461)------------------------------
% 8.53/3.42 % (28461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.53/3.42 % (28461)Termination reason: Unknown
% 8.53/3.42 % (28461)Termination phase: Property scanning
% 8.53/3.42
% 8.53/3.42 % (28461)Memory used [KB]: 1535
% 8.53/3.42 % (28461)Time elapsed: 0.009 s
% 8.53/3.42 % (28461)Instructions burned: 29 (million)
% 8.53/3.42 % (28461)------------------------------
% 8.53/3.42 % (28461)------------------------------
% 8.53/3.43 % (28462)lrs+1010_1:1_au=on:cbe=off:cnfonf=lazy_not_be_gen:ntd=on:pe=on:i=995:si=on:rtra=on_0 on DTF2THF_28205 for (2989ds/995Mi)
% 8.53/3.45 % (28457)Instruction limit reached!
% 8.53/3.45 % (28457)------------------------------
% 8.53/3.45 % (28457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.53/3.45 % (28457)Termination reason: Unknown
% 8.53/3.45 % (28457)Termination phase: Saturation
% 8.53/3.45
% 8.53/3.45 % (28457)Memory used [KB]: 7291
% 8.53/3.45 % (28457)Time elapsed: 0.106 s
% 8.53/3.45 % (28457)Instructions burned: 358 (million)
% 8.53/3.45 % (28457)------------------------------
% 8.53/3.45 % (28457)------------------------------
% 8.53/3.46 % (28463)dis+10_1:8_amm=sco:cbe=off:hflw=5:hfsq=on:hfsqc=14:hfsql=off:hfsqr=4,1:hud=5:ile=on:lma=on:nm=2:ntd=on:prag=on:sac=on:sp=frequency:i=373:si=on:rtra=on_0 on DTF2THF_28205 for (2989ds/373Mi)
% 8.53/3.48 % (28445)Instruction limit reached!
% 8.53/3.48 % (28445)------------------------------
% 8.53/3.48 % (28445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.53/3.48 % (28445)Termination reason: Unknown
% 8.53/3.48 % (28445)Termination phase: Saturation
% 8.53/3.48
% 8.53/3.48 % (28445)Memory used [KB]: 8827
% 8.53/3.48 % (28445)Time elapsed: 0.302 s
% 8.53/3.48 % (28445)Instructions burned: 1021 (million)
% 8.53/3.48 % (28445)------------------------------
% 8.53/3.48 % (28445)------------------------------
% 8.53/3.48 % (28460)Instruction limit reached!
% 8.53/3.48 % (28460)------------------------------
% 8.53/3.48 % (28460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.53/3.49 % (28460)Termination reason: Unknown
% 8.53/3.49 % (28460)Termination phase: Saturation
% 8.53/3.49
% 8.53/3.49 % (28460)Memory used [KB]: 7291
% 8.53/3.49 % (28460)Time elapsed: 0.083 s
% 8.53/3.49 % (28460)Instructions burned: 260 (million)
% 8.53/3.49 % (28460)------------------------------
% 8.53/3.49 % (28460)------------------------------
% 8.53/3.49 % (28464)lrs+1010_1:128_au=on:cnfonf=lazy_pi_sigma_gen:hflw=4:hfsq=on:hfsqc=20:hfsql=off:i=253:si=on:rtra=on_0 on DTF2THF_28205 for (2989ds/253Mi)
% 8.53/3.49 % (28465)lrs+1002_1:14_au=on:bd=off:e2e=on:fde=unused:sac=on:sos=on:i=832:si=on:rtra=on_0 on DTF2THF_28205 for (2989ds/832Mi)
% 9.35/3.57 % (28464)Instruction limit reached!
% 9.35/3.57 % (28464)------------------------------
% 9.35/3.57 % (28464)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/3.57 % (28464)Termination reason: Unknown
% 9.35/3.57 % (28464)Termination phase: Saturation
% 9.35/3.57
% 9.35/3.57 % (28464)Memory used [KB]: 6780
% 9.35/3.57 % (28464)Time elapsed: 0.076 s
% 9.35/3.57 % (28464)Instructions burned: 256 (million)
% 9.35/3.57 % (28464)------------------------------
% 9.35/3.57 % (28464)------------------------------
% 9.35/3.58 % (28466)lrs+1010_1:1_chr=on:cnfonf=lazy_not_be_gen:gs=on:hud=5:plsq=on:plsqc=1:plsqr=5,1:prag=on:rawr=on:i=668:si=on:rtra=on_0 on DTF2THF_28205 for (2988ds/668Mi)
% 9.35/3.58 % (28463)Instruction limit reached!
% 9.35/3.58 % (28463)------------------------------
% 9.35/3.58 % (28463)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.35/3.58 % (28463)Termination reason: Unknown
% 9.35/3.58 % (28463)Termination phase: Saturation
% 9.35/3.58
% 9.35/3.58 % (28463)Memory used [KB]: 6780
% 9.35/3.58 % (28463)Time elapsed: 0.120 s
% 9.35/3.58 % (28463)Instructions burned: 374 (million)
% 9.35/3.58 % (28463)------------------------------
% 9.35/3.58 % (28463)------------------------------
% 9.35/3.59 % (28467)dis+10_1:1_anc=none:cnfonf=lazy_gen:fd=preordered:fe=off:hud=10:ins=3:ixr=off:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:sp=const_frequency:uhcvi=on:i=40:si=on:rtra=on_0 on DTF2THF_28205 for (2988ds/40Mi)
% 9.57/3.60 % (28467)Instruction limit reached!
% 9.57/3.60 % (28467)------------------------------
% 9.57/3.60 % (28467)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.57/3.60 % (28467)Termination reason: Unknown
% 9.57/3.60 % (28467)Termination phase: Property scanning
% 9.57/3.60
% 9.57/3.60 % (28467)Memory used [KB]: 1535
% 9.57/3.60 % (28467)Time elapsed: 0.012 s
% 9.57/3.60 % (28467)Instructions burned: 40 (million)
% 9.57/3.60 % (28467)------------------------------
% 9.57/3.60 % (28467)------------------------------
% 9.57/3.61 % (28468)lrs+1010_1:1_cnfonf=lazy_pi_sigma_gen:fd=off:ntd=on:sd=1:sgt=32:sos=on:ss=axioms:i=294:si=on:rtra=on_0 on DTF2THF_28205 for (2987ds/294Mi)
% 9.58/3.70 % (28468)Instruction limit reached!
% 9.58/3.70 % (28468)------------------------------
% 9.58/3.70 % (28468)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.70 % (28468)Termination reason: Unknown
% 9.58/3.70 % (28468)Termination phase: Saturation
% 9.58/3.70
% 9.58/3.70 % (28468)Memory used [KB]: 7291
% 9.58/3.70 % (28468)Time elapsed: 0.092 s
% 9.58/3.70 % (28468)Instructions burned: 295 (million)
% 9.58/3.70 % (28468)------------------------------
% 9.58/3.70 % (28468)------------------------------
% 9.58/3.71 % (28451)Instruction limit reached!
% 9.58/3.71 % (28451)------------------------------
% 9.58/3.71 % (28451)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.71 % (28451)Termination reason: Unknown
% 9.58/3.71 % (28451)Termination phase: Saturation
% 9.58/3.71
% 9.58/3.71 % (28451)Memory used [KB]: 9210
% 9.58/3.71 % (28451)Time elapsed: 0.452 s
% 9.58/3.71 % (28451)Instructions burned: 1540 (million)
% 9.58/3.71 % (28451)------------------------------
% 9.58/3.71 % (28451)------------------------------
% 9.58/3.71 % (28469)dis+1010_1:1_avsq=on:fe=off:fsr=off:hud=10:plsq=on:plsqr=32,1:prag=on:i=187:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/187Mi)
% 9.58/3.72 % (28470)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/371Mi)
% 9.58/3.73 % (28462)Instruction limit reached!
% 9.58/3.73 % (28462)------------------------------
% 9.58/3.73 % (28462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.73 % (28462)Termination reason: Unknown
% 9.58/3.73 % (28462)Termination phase: Saturation
% 9.58/3.73
% 9.58/3.73 % (28462)Memory used [KB]: 7931
% 9.58/3.73 % (28462)Time elapsed: 0.306 s
% 9.58/3.73 % (28462)Instructions burned: 997 (million)
% 9.58/3.73 % (28462)------------------------------
% 9.58/3.73 % (28462)------------------------------
% 9.58/3.74 % (28471)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/1827Mi)
% 9.58/3.75 % (28465)Instruction limit reached!
% 9.58/3.75 % (28465)------------------------------
% 9.58/3.75 % (28465)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.75 % (28465)Termination reason: Unknown
% 9.58/3.75 % (28465)Termination phase: Saturation
% 9.58/3.75
% 9.58/3.75 % (28465)Memory used [KB]: 8955
% 9.58/3.75 % (28465)Time elapsed: 0.255 s
% 9.58/3.75 % (28465)Instructions burned: 834 (million)
% 9.58/3.75 % (28465)------------------------------
% 9.58/3.75 % (28465)------------------------------
% 9.58/3.76 % (28472)lrs+10_1:1_av=off:bd=off:cnfonf=lazy_gen:fe=off:hud=10:plsq=on:plsqc=1:plsqr=32,1:tnu=1:i=70:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/70Mi)
% 9.58/3.77 % (28469)Instruction limit reached!
% 9.58/3.77 % (28469)------------------------------
% 9.58/3.77 % (28469)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.77 % (28469)Termination reason: Unknown
% 9.58/3.77 % (28469)Termination phase: Saturation
% 9.58/3.77
% 9.58/3.77 % (28469)Memory used [KB]: 6780
% 9.58/3.77 % (28469)Time elapsed: 0.060 s
% 9.58/3.77 % (28469)Instructions burned: 188 (million)
% 9.58/3.77 % (28469)------------------------------
% 9.58/3.77 % (28469)------------------------------
% 9.58/3.78 % (28472)Instruction limit reached!
% 9.58/3.78 % (28472)------------------------------
% 9.58/3.78 % (28472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.78 % (28472)Termination reason: Unknown
% 9.58/3.78 % (28472)Termination phase: Saturation
% 9.58/3.78
% 9.58/3.78 % (28472)Memory used [KB]: 1663
% 9.58/3.78 % (28472)Time elapsed: 0.020 s
% 9.58/3.78 % (28472)Instructions burned: 72 (million)
% 9.58/3.78 % (28472)------------------------------
% 9.58/3.78 % (28472)------------------------------
% 9.58/3.78 % (28473)lrs+10_1:20_bd=off:cnfonf=lazy_not_be_gen:fe=axiom:hud=10:ins=1:nm=20:prag=on:sos=on:i=316:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/316Mi)
% 9.58/3.78 % (28466)Instruction limit reached!
% 9.58/3.78 % (28466)------------------------------
% 9.58/3.78 % (28466)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.58/3.78 % (28466)Termination reason: Unknown
% 9.58/3.78 % (28466)Termination phase: Saturation
% 9.58/3.78
% 9.58/3.78 % (28466)Memory used [KB]: 13432
% 9.58/3.78 % (28466)Time elapsed: 0.205 s
% 9.58/3.78 % (28466)Instructions burned: 668 (million)
% 9.58/3.78 % (28466)------------------------------
% 9.58/3.78 % (28466)------------------------------
% 9.58/3.79 % (28474)ott+1010_1:1_cnfonf=lazy_gen:fe=off:plsq=on:plsqc=1:plsqr=3548551,65536:s2a=on:i=932:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/932Mi)
% 9.58/3.79 % (28475)lrs+1010_1:128_au=on:bd=preordered:cnfonf=lazy_pi_sigma_gen:plsq=on:plsqc=1:plsqr=32,1:sos=all:sp=occurrence:i=4714:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/4714Mi)
% 11.04/3.80 % (28473)Refutation not found, incomplete strategy
% 11.04/3.80 % (28473)------------------------------
% 11.04/3.80 % (28473)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/3.80 % (28473)Termination reason: Refutation not found, incomplete strategy
% 11.04/3.80
% 11.04/3.80
% 11.04/3.80 % (28473)Memory used [KB]: 6268
% 11.04/3.80 % (28473)Time elapsed: 0.022 s
% 11.04/3.80 % (28473)Instructions burned: 79 (million)
% 11.04/3.80 % (28473)------------------------------
% 11.04/3.80 % (28473)------------------------------
% 11.04/3.81 % (28476)dis+10_1:1_au=on:e2e=on:fde=none:nwc=10.0:s2a=on:s2at=2.0:i=8250:si=on:rtra=on_0 on DTF2THF_28205 for (2986ds/8250Mi)
% 11.04/3.81 % (28475)Refutation not found, incomplete strategy
% 11.04/3.81 % (28475)------------------------------
% 11.04/3.81 % (28475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/3.81 % (28475)Termination reason: Refutation not found, incomplete strategy
% 11.04/3.81
% 11.04/3.81
% 11.04/3.81 % (28475)Memory used [KB]: 6268
% 11.04/3.81 % (28475)Time elapsed: 0.022 s
% 11.04/3.81 % (28475)Instructions burned: 80 (million)
% 11.04/3.81 % (28475)------------------------------
% 11.04/3.81 % (28475)------------------------------
% 11.04/3.82 % (28477)lrs+1002_1:1_apa=on:cnfonf=off:fd=off:flr=on:hud=1:lcm=reverse:prag=on:sd=1:sos=on:ss=axioms:i=770:si=on:rtra=on_0 on DTF2THF_28205 for (2985ds/770Mi)
% 11.04/3.83 % (28470)Instruction limit reached!
% 11.04/3.83 % (28470)------------------------------
% 11.04/3.83 % (28470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/3.83 % (28470)Termination reason: Unknown
% 11.04/3.83 % (28470)Termination phase: Saturation
% 11.04/3.83
% 11.04/3.83 % (28470)Memory used [KB]: 7036
% 11.04/3.83 % (28470)Time elapsed: 0.116 s
% 11.04/3.83 % (28470)Instructions burned: 372 (million)
% 11.04/3.83 % (28470)------------------------------
% 11.04/3.83 % (28470)------------------------------
% 11.04/3.83 % (28477)Refutation not found, incomplete strategy
% 11.04/3.83 % (28477)------------------------------
% 11.04/3.83 % (28477)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/3.83 % (28477)Termination reason: Refutation not found, incomplete strategy
% 11.04/3.83
% 11.04/3.83
% 11.04/3.83 % (28477)Memory used [KB]: 5884
% 11.04/3.83 % (28477)Time elapsed: 0.011 s
% 11.04/3.83 % (28477)Instructions burned: 29 (million)
% 11.04/3.83 % (28477)------------------------------
% 11.04/3.83 % (28477)------------------------------
% 11.04/3.84 % (28478)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_28205 for (2985ds/794Mi)
% 11.04/3.84 % (28479)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_28205 for (2985ds/464Mi)
% 11.04/3.87 % (28454)Instruction limit reached!
% 11.04/3.87 % (28454)------------------------------
% 11.04/3.87 % (28454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.04/3.87 % (28454)Termination reason: Unknown
% 11.04/3.87 % (28454)Termination phase: Saturation
% 11.04/3.87
% 11.04/3.87 % (28454)Memory used [KB]: 5117
% 11.04/3.87 % (28454)Time elapsed: 0.570 s
% 11.04/3.87 % (28454)Instructions burned: 1913 (million)
% 11.04/3.87 % (28454)------------------------------
% 11.04/3.87 % (28454)------------------------------
% 11.04/3.88 % (28483)ott+21_1:3_avsq=on:bd=off:cnfonf=lazy_gen:fe=off:hud=10:ixr=off:plsq=on:plsqc=1:plsqr=32,1:prag=on:tnu=1:i=1376:si=on:rtra=on_0 on DTF2THF_28205 for (2985ds/1376Mi)
% 11.83/3.99 % (28479)Instruction limit reached!
% 11.83/3.99 % (28479)------------------------------
% 11.83/3.99 % (28479)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 11.83/3.99 % (28479)Termination reason: Unknown
% 11.83/3.99 % (28479)Termination phase: Saturation
% 11.83/3.99
% 11.83/3.99 % (28479)Memory used [KB]: 7419
% 11.83/3.99 % (28479)Time elapsed: 0.148 s
% 11.83/3.99 % (28479)Instructions burned: 466 (million)
% 11.83/3.99 % (28479)------------------------------
% 11.83/3.99 % (28479)------------------------------
% 11.83/4.00 % (28498)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_28205 for (2984ds/906Mi)
% 13.72/4.09 % (28474)Instruction limit reached!
% 13.72/4.09 % (28474)------------------------------
% 13.72/4.09 % (28474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.72/4.09 % (28474)Termination reason: Unknown
% 13.72/4.09 % (28474)Termination phase: Saturation
% 13.72/4.09
% 13.72/4.09 % (28474)Memory used [KB]: 8443
% 13.72/4.09 % (28474)Time elapsed: 0.303 s
% 13.72/4.09 % (28474)Instructions burned: 932 (million)
% 13.72/4.09 % (28474)------------------------------
% 13.72/4.09 % (28474)------------------------------
% 13.72/4.09 % (28478)Instruction limit reached!
% 13.72/4.09 % (28478)------------------------------
% 13.72/4.09 % (28478)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.72/4.09 % (28478)Termination reason: Unknown
% 13.72/4.09 % (28478)Termination phase: Saturation
% 13.72/4.09
% 13.72/4.09 % (28478)Memory used [KB]: 4733
% 13.72/4.09 % (28478)Time elapsed: 0.254 s
% 13.72/4.09 % (28478)Instructions burned: 795 (million)
% 13.72/4.09 % (28478)------------------------------
% 13.72/4.09 % (28478)------------------------------
% 13.72/4.10 % (28499)lrs+1002_1:16_bd=off:e2e=on:fde=unused:kws=precedence:sac=on:sos=on:ss=axioms:i=434:si=on:rtra=on_0 on DTF2THF_28205 for (2983ds/434Mi)
% 13.72/4.10 % (28500)lrs+10_5:4_cnfonf=conj_eager:fe=axiom:hflw=5:hfsq=on:hfsqc=10:hfsql=off:hud=10:plsq=on:sgt=5:spb=goal_then_units:ss=axioms:i=865:si=on:rtra=on_0 on DTF2THF_28205 for (2983ds/865Mi)
% 14.40/4.12 % (28499)Refutation not found, incomplete strategy
% 14.40/4.12 % (28499)------------------------------
% 14.40/4.12 % (28499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.40/4.12 % (28499)Termination reason: Refutation not found, incomplete strategy
% 14.40/4.12
% 14.40/4.12
% 14.40/4.12 % (28499)Memory used [KB]: 6396
% 14.40/4.12 % (28499)Time elapsed: 0.020 s
% 14.40/4.12 % (28499)Instructions burned: 65 (million)
% 14.40/4.12 % (28499)------------------------------
% 14.40/4.12 % (28499)------------------------------
% 14.40/4.13 % (28501)dis+1002_1:1_cnfonf=lazy_simp:hud=5:plsq=on:plsqc=1:plsqr=32,1:prag=on:i=593:si=on:rtra=on_0 on DTF2THF_28205 for (2982ds/593Mi)
% 14.85/4.28 % (28483)Instruction limit reached!
% 14.85/4.28 % (28483)------------------------------
% 14.85/4.28 % (28483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.85/4.28 % (28483)Termination reason: Unknown
% 14.85/4.28 % (28483)Termination phase: Saturation
% 14.85/4.28
% 14.85/4.28 % (28483)Memory used [KB]: 12025
% 14.85/4.28 % (28483)Time elapsed: 0.406 s
% 14.85/4.28 % (28483)Instructions burned: 1377 (million)
% 14.85/4.28 % (28483)------------------------------
% 14.85/4.28 % (28483)------------------------------
% 14.85/4.29 % (28502)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_28205 for (2981ds/443Mi)
% 15.33/4.30 % (28498)Instruction limit reached!
% 15.33/4.30 % (28498)------------------------------
% 15.33/4.30 % (28498)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/4.30 % (28498)Termination reason: Unknown
% 15.33/4.30 % (28498)Termination phase: Saturation
% 15.33/4.30
% 15.33/4.30 % (28498)Memory used [KB]: 11001
% 15.33/4.30 % (28498)Time elapsed: 0.302 s
% 15.33/4.30 % (28498)Instructions burned: 906 (million)
% 15.33/4.30 % (28498)------------------------------
% 15.33/4.30 % (28498)------------------------------
% 15.33/4.31 % (28471)Instruction limit reached!
% 15.33/4.31 % (28471)------------------------------
% 15.33/4.31 % (28471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/4.31 % (28471)Termination reason: Unknown
% 15.33/4.31 % (28471)Termination phase: Saturation
% 15.33/4.31
% 15.33/4.31 % (28471)Memory used [KB]: 10490
% 15.33/4.31 % (28471)Time elapsed: 0.563 s
% 15.33/4.31 % (28471)Instructions burned: 1828 (million)
% 15.33/4.31 % (28471)------------------------------
% 15.33/4.31 % (28471)------------------------------
% 15.33/4.31 % (28501)Instruction limit reached!
% 15.33/4.31 % (28501)------------------------------
% 15.33/4.31 % (28501)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/4.31 % (28501)Termination reason: Unknown
% 15.33/4.31 % (28501)Termination phase: Saturation
% 15.33/4.31
% 15.33/4.31 % (28501)Memory used [KB]: 9083
% 15.33/4.31 % (28501)Time elapsed: 0.182 s
% 15.33/4.31 % (28501)Instructions burned: 593 (million)
% 15.33/4.31 % (28501)------------------------------
% 15.33/4.31 % (28501)------------------------------
% 15.33/4.31 % (28503)dis+10_1:1_atotf=0.1:cbe=off:sd=3:ss=axioms:st=2.0:i=594:si=on:rtra=on_0 on DTF2THF_28205 for (2981ds/594Mi)
% 15.33/4.32 % (28504)ott+10_1:1024_anc=none:bd=off:e2e=on:fde=none:fsr=off:hud=10:ixr=off:nm=4:nwc=5.0:spb=goal:i=327:si=on:rtra=on_0 on DTF2THF_28205 for (2981ds/327Mi)
% 15.33/4.32 % (28505)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=5411:si=on:rtra=on_0 on DTF2THF_28205 for (2980ds/5411Mi)
% 15.33/4.36 % (28500)Instruction limit reached!
% 15.33/4.36 % (28500)------------------------------
% 15.33/4.36 % (28500)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.33/4.36 % (28500)Termination reason: Unknown
% 15.33/4.36 % (28500)Termination phase: Saturation
% 15.33/4.36
% 15.33/4.36 % (28500)Memory used [KB]: 8827
% 15.33/4.36 % (28500)Time elapsed: 0.260 s
% 15.33/4.36 % (28500)Instructions burned: 868 (million)
% 15.33/4.36 % (28500)------------------------------
% 15.33/4.36 % (28500)------------------------------
% 15.33/4.37 % (28506)lrs+10_1:20_au=on:c=on:cbe=off:cnfonf=lazy_gen:ins=1:plsq=on:plsqc=1:plsqr=46,31:sac=on:i=1762:si=on:rtra=on_0 on DTF2THF_28205 for (2980ds/1762Mi)
% 16.04/4.42 % (28504)Instruction limit reached!
% 16.04/4.42 % (28504)------------------------------
% 16.04/4.42 % (28504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.42 % (28504)Termination reason: Unknown
% 16.04/4.42 % (28504)Termination phase: Saturation
% 16.04/4.42
% 16.04/4.42 % (28504)Memory used [KB]: 6908
% 16.04/4.42 % (28504)Time elapsed: 0.104 s
% 16.04/4.42 % (28504)Instructions burned: 327 (million)
% 16.04/4.42 % (28504)------------------------------
% 16.04/4.42 % (28504)------------------------------
% 16.04/4.43 % (28507)dis+1003_1:64_cha=on:cnfonf=lazy_gen:hud=9:nwc=8.0:prag=on:i=96:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/96Mi)
% 16.04/4.43 % (28502)Instruction limit reached!
% 16.04/4.43 % (28502)------------------------------
% 16.04/4.43 % (28502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.43 % (28502)Termination reason: Unknown
% 16.04/4.43 % (28502)Termination phase: Saturation
% 16.04/4.43
% 16.04/4.43 % (28502)Memory used [KB]: 7419
% 16.04/4.43 % (28502)Time elapsed: 0.141 s
% 16.04/4.43 % (28502)Instructions burned: 445 (million)
% 16.04/4.43 % (28502)------------------------------
% 16.04/4.43 % (28502)------------------------------
% 16.04/4.44 % (28508)lrs+21_1:1_hud=5:kws=inv_frequency:nm=16:nwc=2.0:prag=on:sos=on:ss=axioms:i=503:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/503Mi)
% 16.04/4.46 % (28507)Instruction limit reached!
% 16.04/4.46 % (28507)------------------------------
% 16.04/4.46 % (28507)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.46 % (28507)Termination reason: Unknown
% 16.04/4.46 % (28507)Termination phase: Saturation
% 16.04/4.46
% 16.04/4.46 % (28507)Memory used [KB]: 6396
% 16.04/4.46 % (28507)Time elapsed: 0.029 s
% 16.04/4.46 % (28507)Instructions burned: 98 (million)
% 16.04/4.46 % (28507)------------------------------
% 16.04/4.46 % (28507)------------------------------
% 16.04/4.47 % (28508)Refutation not found, incomplete strategy
% 16.04/4.47 % (28508)------------------------------
% 16.04/4.47 % (28508)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.47 % (28508)Termination reason: Refutation not found, incomplete strategy
% 16.04/4.47
% 16.04/4.47
% 16.04/4.47 % (28508)Memory used [KB]: 6524
% 16.04/4.47 % (28508)Time elapsed: 0.025 s
% 16.04/4.47 % (28508)Instructions burned: 80 (million)
% 16.04/4.47 % (28508)------------------------------
% 16.04/4.47 % (28508)------------------------------
% 16.04/4.47 % (28509)lrs+1002_1:1024_au=on:cond=fast:ntd=on:piset=and:plsq=on:plsqc=1:plsqr=183491,1048576:sac=on:tgt=ground:i=90:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/90Mi)
% 16.04/4.48 % (28510)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/593Mi)
% 16.04/4.49 % (28503)Instruction limit reached!
% 16.04/4.49 % (28503)------------------------------
% 16.04/4.49 % (28503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.49 % (28503)Termination reason: Unknown
% 16.04/4.49 % (28503)Termination phase: Saturation
% 16.04/4.49
% 16.04/4.49 % (28503)Memory used [KB]: 7547
% 16.04/4.49 % (28503)Time elapsed: 0.182 s
% 16.04/4.49 % (28503)Instructions burned: 594 (million)
% 16.04/4.49 % (28503)------------------------------
% 16.04/4.49 % (28503)------------------------------
% 16.04/4.50 % (28509)Instruction limit reached!
% 16.04/4.50 % (28509)------------------------------
% 16.04/4.50 % (28509)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.04/4.50 % (28509)Termination reason: Unknown
% 16.04/4.50 % (28509)Termination phase: Saturation
% 16.04/4.50
% 16.04/4.50 % (28509)Memory used [KB]: 6396
% 16.04/4.50 % (28509)Time elapsed: 0.028 s
% 16.04/4.50 % (28509)Instructions burned: 93 (million)
% 16.04/4.50 % (28509)------------------------------
% 16.04/4.50 % (28509)------------------------------
% 16.79/4.50 % (28511)dis-1002_1:1_alpa=false:apa=on:au=on:bd=off:cnfonf=off:e2e=on:er=filter:fde=unused:plsq=on:plsqr=9699663,1048576:s2a=on:sos=on:sp=unary_first:i=1512:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/1512Mi)
% 16.79/4.51 % (28512)lrs+1002_1:128_cbe=off:cnfonf=lazy_not_gen_be_off:ins=1:i=569:si=on:rtra=on_0 on DTF2THF_28205 for (2979ds/569Mi)
% 16.99/4.63 % (28505)Refutation not found, incomplete strategy
% 16.99/4.63 % (28505)------------------------------
% 16.99/4.63 % (28505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/4.63 % (28505)Termination reason: Refutation not found, incomplete strategy
% 16.99/4.63
% 16.99/4.63
% 16.99/4.63 % (28505)Memory used [KB]: 8443
% 16.99/4.63 % (28505)Time elapsed: 0.315 s
% 16.99/4.63 % (28505)Instructions burned: 1119 (million)
% 16.99/4.63 % (28505)------------------------------
% 16.99/4.63 % (28505)------------------------------
% 16.99/4.64 % (28513)ott+1002_1:1_bd=off:cnfonf=off:e2e=on:fd=off:fe=axiom:hud=5:prag=on:sos=on:i=501:si=on:rtra=on_0 on DTF2THF_28205 for (2977ds/501Mi)
% 16.99/4.66 % (28510)Instruction limit reached!
% 16.99/4.66 % (28510)------------------------------
% 16.99/4.66 % (28510)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/4.66 % (28510)Termination reason: Unknown
% 16.99/4.66 % (28510)Termination phase: Saturation
% 16.99/4.66
% 16.99/4.66 % (28510)Memory used [KB]: 7547
% 16.99/4.66 % (28510)Time elapsed: 0.189 s
% 16.99/4.66 % (28510)Instructions burned: 593 (million)
% 16.99/4.66 % (28510)------------------------------
% 16.99/4.66 % (28510)------------------------------
% 16.99/4.67 % (28513)Refutation not found, incomplete strategy
% 16.99/4.67 % (28513)------------------------------
% 16.99/4.67 % (28513)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/4.67 % (28513)Termination reason: Refutation not found, incomplete strategy
% 16.99/4.67
% 16.99/4.67
% 16.99/4.67 % (28513)Memory used [KB]: 6652
% 16.99/4.67 % (28513)Time elapsed: 0.030 s
% 16.99/4.67 % (28513)Instructions burned: 95 (million)
% 16.99/4.67 % (28513)------------------------------
% 16.99/4.67 % (28513)------------------------------
% 16.99/4.68 % (28514)lrs+1010_1:3_cnfonf=conj_eager:fsr=off:prag=on:sd=4:sgt=10:ss=axioms:i=562:si=on:rtra=on_0 on DTF2THF_28205 for (2977ds/562Mi)
% 16.99/4.68 % (28512)Instruction limit reached!
% 16.99/4.68 % (28512)------------------------------
% 16.99/4.68 % (28512)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.99/4.68 % (28512)Termination reason: Unknown
% 16.99/4.68 % (28512)Termination phase: Saturation
% 16.99/4.68
% 16.99/4.68 % (28512)Memory used [KB]: 7547
% 16.99/4.68 % (28512)Time elapsed: 0.175 s
% 16.99/4.68 % (28512)Instructions burned: 571 (million)
% 16.99/4.68 % (28512)------------------------------
% 16.99/4.68 % (28512)------------------------------
% 16.99/4.68 % (28515)lrs+10_1:1_au=on:cnfonf=off:fde=unused:kws=precedence:tgt=full:i=406:si=on:rtra=on_0 on DTF2THF_28205 for (2977ds/406Mi)
% 16.99/4.69 % (28516)dis+1004_1:128_au=on:cbe=off:e2e=on:sac=on:i=582:si=on:rtra=on_0 on DTF2THF_28205 for (2977ds/582Mi)
% 18.14/4.81 % (28515)Instruction limit reached!
% 18.14/4.81 % (28515)------------------------------
% 18.14/4.81 % (28515)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.14/4.81 % (28515)Termination reason: Unknown
% 18.14/4.81 % (28515)Termination phase: Saturation
% 18.14/4.81
% 18.14/4.81 % (28515)Memory used [KB]: 7164
% 18.14/4.81 % (28515)Time elapsed: 0.126 s
% 18.14/4.81 % (28515)Instructions burned: 408 (million)
% 18.14/4.81 % (28515)------------------------------
% 18.14/4.81 % (28515)------------------------------
% 18.14/4.82 % (28517)lrs+2_1:1_au=on:bd=off:bsr=unit_only:sd=2:sgt=32:sos=all:ss=axioms:i=456:si=on:rtra=on_0 on DTF2THF_28205 for (2975ds/456Mi)
% 18.14/4.85 % (28514)Refutation not found, non-redundant clauses discarded% (28514)------------------------------
% 18.14/4.85 % (28514)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.14/4.85 % (28514)Termination reason: Refutation not found, non-redundant clauses discarded
% 18.14/4.85
% 18.14/4.85 % (28514)Memory used [KB]: 7419
% 18.14/4.85 % (28514)Time elapsed: 0.192 s
% 18.14/4.85 % (28514)Instructions burned: 561 (million)
% 18.14/4.85 % (28514)------------------------------
% 18.14/4.85 % (28514)------------------------------
% 18.14/4.86 % (28518)lrs+1010_1:1_au=on:cbe=off:cnfonf=conj_eager:tgt=ground:i=393:si=on:rtra=on_0 on DTF2THF_28205 for (2975ds/393Mi)
% 18.14/4.87 % (28516)Instruction limit reached!
% 18.14/4.87 % (28516)------------------------------
% 18.14/4.87 % (28516)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.14/4.87 % (28516)Termination reason: Unknown
% 18.14/4.87 % (28516)Termination phase: Saturation
% 18.14/4.87
% 18.14/4.87 % (28516)Memory used [KB]: 6780
% 18.14/4.87 % (28516)Time elapsed: 0.184 s
% 18.14/4.87 % (28516)Instructions burned: 582 (million)
% 18.14/4.87 % (28516)------------------------------
% 18.14/4.87 % (28516)------------------------------
% 18.14/4.88 % (28453)Instruction limit reached!
% 18.14/4.88 % (28453)------------------------------
% 18.14/4.88 % (28453)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.14/4.88 % (28453)Termination reason: Unknown
% 18.14/4.88 % (28453)Termination phase: Saturation
% 18.14/4.88
% 18.14/4.88 % (28453)Memory used [KB]: 14456
% 18.14/4.88 % (28453)Time elapsed: 1.602 s
% 18.14/4.88 % (28453)Instructions burned: 5205 (million)
% 18.14/4.88 % (28453)------------------------------
% 18.14/4.88 % (28453)------------------------------
% 18.14/4.88 % (28519)lrs+1010_1:6_au=on:cnfonf=conj_eager:nwc=10.0:pe=on:prag=on:s2a=on:ss=axioms:st=1.5:i=1335:si=on:rtra=on_0 on DTF2THF_28205 for (2975ds/1335Mi)
% 18.14/4.89 % (28520)dis+1010_16:1_acc=model:au=on:avsq=on:cond=fast:plsq=on:plsqc=2:plsqr=9267,262144:i=3373:si=on:rtra=on_0 on DTF2THF_28205 for (2975ds/3373Mi)
% 18.84/4.90 % (28506)Instruction limit reached!
% 18.84/4.90 % (28506)------------------------------
% 18.84/4.90 % (28506)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.84/4.90 % (28506)Termination reason: Unknown
% 18.84/4.90 % (28506)Termination phase: Saturation
% 18.84/4.90
% 18.84/4.90 % (28506)Memory used [KB]: 7675
% 18.84/4.90 % (28506)Time elapsed: 0.530 s
% 18.84/4.90 % (28506)Instructions burned: 1763 (million)
% 18.84/4.90 % (28506)------------------------------
% 18.84/4.90 % (28506)------------------------------
% 18.84/4.91 % (28524)dis+10_1:1024_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=32,1:spb=goal_then_units:i=474:si=on:rtra=on_0 on DTF2THF_28205 for (2974ds/474Mi)
% 18.84/4.96 % (28517)Instruction limit reached!
% 18.84/4.96 % (28517)------------------------------
% 18.84/4.96 % (28517)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.84/4.96 % (28517)Termination reason: Unknown
% 18.84/4.96 % (28517)Termination phase: Saturation
% 18.84/4.96
% 18.84/4.96 % (28517)Memory used [KB]: 7675
% 18.84/4.96 % (28517)Time elapsed: 0.142 s
% 18.84/4.96 % (28517)Instructions burned: 456 (million)
% 18.84/4.96 % (28517)------------------------------
% 18.84/4.96 % (28517)------------------------------
% 18.84/4.97 % (28511)Instruction limit reached!
% 18.84/4.97 % (28511)------------------------------
% 18.84/4.97 % (28511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.84/4.97 % (28511)Termination reason: Unknown
% 18.84/4.97 % (28511)Termination phase: Saturation
% 18.84/4.97
% 18.84/4.97 % (28511)Memory used [KB]: 9210
% 18.84/4.97 % (28511)Time elapsed: 0.467 s
% 18.84/4.97 % (28511)Instructions burned: 1512 (million)
% 18.84/4.97 % (28511)------------------------------
% 18.84/4.97 % (28511)------------------------------
% 18.84/4.97 % (28539)lrs+1002_1:16_amm=sco:cnfonf=lazy_pi_sigma_gen:fe=off:nm=60:piset=all_but_not_eq:plsq=on:plsqc=1:plsqr=2,1:rawr=on:sp=occurrence:ss=included:st=-1.0:i=157:si=on:rtra=on_0 on DTF2THF_28205 for (2974ds/157Mi)
% 18.84/4.97 % (28518)Instruction limit reached!
% 18.84/4.97 % (28518)------------------------------
% 18.84/4.97 % (28518)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 18.84/4.97 % (28518)Termination reason: Unknown
% 18.84/4.97 % (28518)Termination phase: Saturation
% 18.84/4.97
% 18.84/4.97 % (28518)Memory used [KB]: 7036
% 18.84/4.97 % (28518)Time elapsed: 0.115 s
% 18.84/4.97 % (28518)Instructions burned: 393 (million)
% 18.84/4.97 % (28518)------------------------------
% 18.84/4.97 % (28518)------------------------------
% 18.84/4.98 % (28540)dis+1010_1:1_amm=off:cs=on:kws=precedence:nwc=10.0:piset=all:s2a=on:sac=on:sp=unary_frequency:spb=goal:ss=axioms:st=3.0:i=590:si=on:rtra=on_0 on DTF2THF_28205 for (2974ds/590Mi)
% 18.84/4.98 % (28541)dis+10_1:1024_kws=precedence:prag=on:rawr=on:sos=all:sp=unary_first:i=104:si=on:rtra=on_0 on DTF2THF_28205 for (2974ds/104Mi)
% 20.71/5.01 % (28541)Instruction limit reached!
% 20.71/5.01 % (28541)------------------------------
% 20.71/5.01 % (28541)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.71/5.01 % (28541)Termination reason: Unknown
% 20.71/5.01 % (28541)Termination phase: Saturation
% 20.71/5.01
% 20.71/5.01 % (28541)Memory used [KB]: 2430
% 20.71/5.01 % (28541)Time elapsed: 0.034 s
% 20.71/5.01 % (28541)Instructions burned: 105 (million)
% 20.71/5.01 % (28541)------------------------------
% 20.71/5.01 % (28541)------------------------------
% 20.71/5.01 % (28539)Instruction limit reached!
% 20.71/5.01 % (28539)------------------------------
% 20.71/5.01 % (28539)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.71/5.01 % (28539)Termination reason: Unknown
% 20.71/5.01 % (28539)Termination phase: Saturation
% 20.71/5.01
% 20.71/5.01 % (28539)Memory used [KB]: 6652
% 20.71/5.01 % (28539)Time elapsed: 0.047 s
% 20.71/5.01 % (28539)Instructions burned: 158 (million)
% 20.71/5.01 % (28539)------------------------------
% 20.71/5.01 % (28539)------------------------------
% 20.71/5.02 % (28542)lrs+1010_1:10_au=on:bd=off:cnfonf=lazy_pi_sigma_gen:sp=occurrence:i=414:si=on:rtra=on_0 on DTF2THF_28205 for (2973ds/414Mi)
% 20.71/5.02 % (28543)dis+10_1:1_av=off:bsd=on:bsr=unit_only:fd=off:hud=8:nm=16:prag=on:i=715:si=on:rtra=on_0 on DTF2THF_28205 for (2973ds/715Mi)
% 20.71/5.06 % (28524)Instruction limit reached!
% 20.71/5.06 % (28524)------------------------------
% 20.71/5.06 % (28524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 20.71/5.06 % (28524)Termination reason: Unknown
% 20.71/5.06 % (28524)Termination phase: Saturation
% 20.71/5.06
% 20.71/5.06 % (28524)Memory used [KB]: 7036
% 20.71/5.06 % (28524)Time elapsed: 0.149 s
% 20.71/5.06 % (28524)Instructions burned: 476 (million)
% 20.71/5.06 % (28524)------------------------------
% 20.71/5.06 % (28524)------------------------------
% 20.71/5.07 % (28544)dis+21_1:5_au=on:ntd=on:nwc=5.0:s2a=on:ss=axioms:st=5.0:i=961:si=on:rtra=on_0 on DTF2THF_28205 for (2973ds/961Mi)
% 21.18/5.15 % (28540)Instruction limit reached!
% 21.18/5.15 % (28540)------------------------------
% 21.18/5.15 % (28540)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/5.15 % (28540)Termination reason: Unknown
% 21.18/5.15 % (28540)Termination phase: Saturation
% 21.18/5.15
% 21.18/5.15 % (28540)Memory used [KB]: 7291
% 21.18/5.15 % (28540)Time elapsed: 0.172 s
% 21.18/5.15 % (28540)Instructions burned: 590 (million)
% 21.18/5.15 % (28540)------------------------------
% 21.18/5.15 % (28540)------------------------------
% 21.18/5.16 % (28545)lrs-1002_1:128_abs=on:bd=preordered:cbe=off:e2e=on:fde=unused:fe=off:tgt=full:i=1213:si=on:rtra=on_0 on DTF2THF_28205 for (2972ds/1213Mi)
% 21.18/5.16 % (28542)Instruction limit reached!
% 21.18/5.16 % (28542)------------------------------
% 21.18/5.16 % (28542)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.18/5.16 % (28542)Termination reason: Unknown
% 21.18/5.16 % (28542)Termination phase: Saturation
% 21.18/5.16
% 21.18/5.16 % (28542)Memory used [KB]: 6780
% 21.18/5.16 % (28542)Time elapsed: 0.139 s
% 21.18/5.16 % (28542)Instructions burned: 415 (million)
% 21.18/5.16 % (28542)------------------------------
% 21.18/5.16 % (28542)------------------------------
% 21.18/5.17 % (28546)lrs+1002_1:12_bd=off:hud=1:ntd=on:piset=equals:prag=on:i=1979:si=on:rtra=on_0 on DTF2THF_28205 for (2972ds/1979Mi)
% 21.63/5.24 % (28543)Instruction limit reached!
% 21.63/5.24 % (28543)------------------------------
% 21.63/5.24 % (28543)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.63/5.24 % (28543)Termination reason: Unknown
% 21.63/5.24 % (28543)Termination phase: Saturation
% 21.63/5.24
% 21.63/5.24 % (28543)Memory used [KB]: 3454
% 21.63/5.24 % (28543)Time elapsed: 0.220 s
% 21.63/5.24 % (28543)Instructions burned: 718 (million)
% 21.63/5.24 % (28543)------------------------------
% 21.63/5.24 % (28543)------------------------------
% 21.63/5.25 % (28547)dis+1002_1:1_amm=off:au=on:bsd=on:cbe=off:cnfonf=lazy_gen:sp=unary_frequency:i=481:si=on:rtra=on_0 on DTF2THF_28205 for (2971ds/481Mi)
% 21.63/5.29 % (28519)Instruction limit reached!
% 21.63/5.29 % (28519)------------------------------
% 21.63/5.29 % (28519)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 21.63/5.29 % (28519)Termination reason: Unknown
% 21.63/5.29 % (28519)Termination phase: Saturation
% 21.63/5.29
% 21.63/5.29 % (28519)Memory used [KB]: 8187
% 21.63/5.29 % (28519)Time elapsed: 0.410 s
% 21.63/5.29 % (28519)Instructions burned: 1336 (million)
% 21.63/5.29 % (28519)------------------------------
% 21.63/5.29 % (28519)------------------------------
% 22.16/5.30 % (28548)dis+10_8:1_apa=on:cnfonf=off:e2e=on:plsq=on:plsqc=1:plsqr=32,1:ss=axioms:i=783:si=on:rtra=on_0 on DTF2THF_28205 for (2971ds/783Mi)
% 22.16/5.34 % (28544)First to succeed.
% 22.16/5.34 % (28544)Refutation found. Thanks to Tanya!
% 22.16/5.34 % SZS status Theorem for DTF2THF_28205
% 22.16/5.34 % SZS output start Proof for DTF2THF_28205
% 22.16/5.34 thf(type_def_5, type, d: $tType).
% 22.16/5.34 thf(type_def_7, type, u: $tType).
% 22.16/5.34 thf(type_def_8, type, du: $tType).
% 22.16/5.34 thf(type_def_9, type, mono_2Etyop_2Enum_2Enum: $tType).
% 22.16/5.34 thf(func_def_0, type, u: $tType).
% 22.16/5.34 thf(func_def_1, type, d: $tType).
% 22.16/5.34 thf(func_def_2, type, du: $tType).
% 22.16/5.34 thf(func_def_3, type, mono_2Etyop_2Enum_2Enum: $tType).
% 22.16/5.34 thf(func_def_4, type, tyop_2Emin_2Ebool: d).
% 22.16/5.34 thf(func_def_5, type, tyop_2Emin_2Efun: d > d > d).
% 22.16/5.34 thf(func_def_6, type, tyop_2Enum_2Enum: d).
% 22.16/5.34 thf(func_def_7, type, s: d > u > du).
% 22.16/5.34 thf(func_def_8, type, app_2E2: du > du > u).
% 22.16/5.34 thf(func_def_9, type, combin_i_2E0: u).
% 22.16/5.34 thf(func_def_10, type, combin_k_2E0: u).
% 22.16/5.34 thf(func_def_11, type, combin_s_2E0: u).
% 22.16/5.34 thf(func_def_12, type, c_2Ebool_2E_21_2E0: u).
% 22.16/5.34 thf(func_def_13, type, c_2Ebool_2E_21_2E1: du > u).
% 22.16/5.34 thf(func_def_14, type, c_2Earithmetic_2E_2A_2E0: u).
% 22.16/5.34 thf(func_def_15, type, c_2Earithmetic_2E_2A_2E2: du > du > u).
% 22.16/5.34 thf(func_def_16, type, c_2Earithmetic_2E_2B_2E0: u).
% 22.16/5.34 thf(func_def_17, type, c_2Earithmetic_2E_2B_2E2: du > du > u).
% 22.16/5.34 thf(func_def_18, type, c_2Ebool_2E_2F_5C_2E0: u).
% 22.16/5.34 thf(func_def_19, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
% 22.16/5.34 thf(func_def_20, type, c_2Enum_2E0_2E0: u).
% 22.16/5.34 thf(func_def_21, type, c_2Eprim__rec_2E_3C_2E0: u).
% 22.16/5.34 thf(func_def_22, type, c_2Eprim__rec_2E_3C_2E2: du > du > u).
% 22.16/5.34 thf(func_def_23, type, c_2Emin_2E_3D_2E0: u).
% 22.16/5.34 thf(func_def_24, type, c_2Emin_2E_3D_2E2: du > du > u).
% 22.16/5.34 thf(func_def_25, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 22.16/5.34 thf(func_def_26, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
% 22.16/5.34 thf(func_def_27, type, c_2Ebool_2E_3F_2E0: u).
% 22.16/5.34 thf(func_def_28, type, c_2Ebool_2E_3F_2E1: du > u).
% 22.16/5.34 thf(func_def_29, type, c_2Earithmetic_2EBIT1_2E0: u).
% 22.16/5.34 thf(func_def_30, type, c_2Earithmetic_2EBIT1_2E1: du > u).
% 22.16/5.34 thf(func_def_31, type, c_2Earithmetic_2EBIT2_2E0: u).
% 22.16/5.34 thf(func_def_32, type, c_2Earithmetic_2EBIT2_2E1: du > u).
% 22.16/5.34 thf(func_def_33, type, c_2Ebool_2ECOND_2E0: u).
% 22.16/5.34 thf(func_def_34, type, c_2Ebool_2ECOND_2E3: du > du > du > u).
% 22.16/5.34 thf(func_def_35, type, c_2Earithmetic_2EEVEN_2E0: u).
% 22.16/5.34 thf(func_def_36, type, c_2Earithmetic_2EEVEN_2E1: du > u).
% 22.16/5.34 thf(func_def_37, type, c_2Ebool_2EF_2E0: u).
% 22.16/5.34 thf(func_def_38, type, c_2Earithmetic_2EMOD_2E0: u).
% 22.16/5.34 thf(func_def_39, type, c_2Earithmetic_2EMOD_2E2: du > du > u).
% 22.16/5.34 thf(func_def_40, type, c_2Earithmetic_2ENUMERAL_2E0: u).
% 22.16/5.34 thf(func_def_41, type, c_2Earithmetic_2ENUMERAL_2E1: du > u).
% 22.16/5.34 thf(func_def_42, type, c_2Earithmetic_2EODD_2E0: u).
% 22.16/5.34 thf(func_def_43, type, c_2Earithmetic_2EODD_2E1: du > u).
% 22.16/5.34 thf(func_def_44, type, c_2Enum_2ESUC_2E0: u).
% 22.16/5.34 thf(func_def_45, type, c_2Enum_2ESUC_2E1: du > u).
% 22.16/5.34 thf(func_def_46, type, c_2Ebool_2ET_2E0: u).
% 22.16/5.34 thf(func_def_47, type, c_2Earithmetic_2EZERO_2E0: u).
% 22.16/5.34 thf(func_def_48, type, c_2Ebool_2E_5C_2F_2E0: u).
% 22.16/5.34 thf(func_def_49, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
% 22.16/5.34 thf(func_def_50, type, c_2Ebool_2E_7E_2E0: u).
% 22.16/5.34 thf(func_def_51, type, c_2Ebool_2E_7E_2E1: du > u).
% 22.16/5.34 thf(func_def_52, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
% 22.16/5.34 thf(func_def_53, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
% 22.16/5.34 thf(func_def_54, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o > $o) > $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_55, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ($o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_56, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_57, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_58, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_59, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_60, type, mono_2Ec_2Earithmetic_2E_2A: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_61, type, mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_62, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
% 22.16/5.34 thf(func_def_63, type, mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_64, type, mono_2Ec_2Eprim__rec_2E_3C: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_65, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 22.16/5.34 thf(func_def_66, type, mono_2Ec_2Earithmetic_2EBIT1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_67, type, mono_2Ec_2Earithmetic_2EBIT2: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_68, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Emin_2Ebool: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_69, type, mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum: $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_70, type, mono_2Ec_2Earithmetic_2EEVEN: mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_72, type, mono_2Ec_2Earithmetic_2EMOD: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_73, type, mono_2Ec_2Earithmetic_2ENUMERAL: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_74, type, mono_2Ec_2Earithmetic_2EODD: mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_75, type, mono_2Ec_2Enum_2ESUC: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_77, type, mono_2Ec_2Earithmetic_2EZERO: mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_78, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
% 22.16/5.34 thf(func_def_79, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
% 22.16/5.34 thf(func_def_80, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
% 22.16/5.34 thf(func_def_81, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
% 22.16/5.34 thf(func_def_82, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
% 22.16/5.34 thf(func_def_83, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: ($o > $o > $o > $o) > u).
% 22.16/5.34 thf(func_def_84, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: ($o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u).
% 22.16/5.34 thf(func_def_85, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > $o) > u).
% 22.16/5.34 thf(func_def_86, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > u).
% 22.16/5.34 thf(func_def_87, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u).
% 22.16/5.34 thf(func_def_88, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u).
% 22.16/5.34 thf(func_def_89, type, i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u).
% 22.16/5.34 thf(func_def_90, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
% 22.16/5.34 thf(func_def_91, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
% 22.16/5.34 thf(func_def_92, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
% 22.16/5.34 thf(func_def_93, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29_29: du > $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_94, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_29: du > $o > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_95, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_96, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 22.16/5.34 thf(func_def_97, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_98, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_99, type, j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_110, type, sP0: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_111, type, sP1: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_112, type, sP2: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_113, type, sP3: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_114, type, sP4: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_115, type, sP5: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_116, type, sP6: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_117, type, sP7: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_118, type, sP8: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_119, type, sP9: $o > $o > $o > $o).
% 22.16/5.34 thf(func_def_120, type, sK10: d > $o > u > u).
% 22.16/5.34 thf(func_def_121, type, sK11: d > u > u).
% 22.16/5.34 thf(func_def_122, type, sK12: u > $o > d > u).
% 22.16/5.34 thf(func_def_123, type, sK13: u > d > u).
% 22.16/5.34 thf(func_def_124, type, sK14: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_125, type, sK15: mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_126, type, sK16: u > $o > d > u).
% 22.16/5.34 thf(func_def_127, type, sK17: u > d > u).
% 22.16/5.34 thf(func_def_128, type, sK18: u > $o > d > u).
% 22.16/5.34 thf(func_def_129, type, sK19: u > d > u).
% 22.16/5.34 thf(func_def_130, type, sK20: d > u > d > u > u).
% 22.16/5.34 thf(func_def_131, type, sK21: d > u > u).
% 22.16/5.34 thf(func_def_132, type, sK22: d > u > u).
% 22.16/5.34 thf(func_def_133, type, sK23: d > u > u > u).
% 22.16/5.34 thf(func_def_134, type, sK24: u > d > $o > u).
% 22.16/5.34 thf(func_def_135, type, sK25: u > d > u).
% 22.16/5.34 thf(func_def_136, type, sK26: d > u > u).
% 22.16/5.34 thf(func_def_137, type, sK27: d > $o > u > u).
% 22.16/5.34 thf(func_def_138, type, sK28: u > d > u > d > u).
% 22.16/5.34 thf(func_def_139, type, sK29: u > d > u > d > u).
% 22.16/5.34 thf(func_def_140, type, sK30: d > u > d > u).
% 22.16/5.34 thf(func_def_141, type, sK31: d > u > d > u).
% 22.16/5.34 thf(func_def_142, type, sK32: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 22.16/5.34 thf(func_def_144, type, ph34: !>[X0: $tType]:(X0)).
% 22.16/5.34 thf(f3328,plain,(
% 22.16/5.34 $false),
% 22.16/5.34 inference(avatar_sat_refutation,[status(thm)],[f2356,f2368,f3313,f3320,f3327])).
% 22.16/5.34 thf(f3327,plain,(
% 22.16/5.34 ~spl33_32),
% 22.16/5.34 inference(avatar_contradiction_clause,[status(thm)],[f3326])).
% 22.16/5.34 thf(f3326,plain,(
% 22.16/5.34 $false | ~spl33_32),
% 22.16/5.34 inference(subsumption_resolution,[status(thm)],[f3325,f3312])).
% 22.16/5.34 thf(f3312,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) = $true) | ~spl33_32),
% 22.16/5.34 inference(avatar_component_clause,[status(thm)],[f3310])).
% 22.16/5.34 thf(f3310,definition,(
% 22.16/5.34 spl33_32 <=> ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) = $true)),
% 22.16/5.34 introduced(definition,[new_symbols(naming,[spl33_32])],[avatar_definition])).
% 22.16/5.34 thf(f3325,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) != $true) | ~spl33_32),
% 22.16/5.34 inference(trivial_inequality_removal,[status(thm)],[f3324])).
% 22.16/5.34 thf(f3324,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) != $true) | (mono_2Ec_2Enum_2E0 != mono_2Ec_2Enum_2E0) | ~spl33_32),
% 22.16/5.34 inference(superposition,[status(thm)],[f3322,f1488])).
% 22.16/5.34 thf(f1488,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2E0 = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)) )),
% 22.16/5.34 inference(subsumption_resolution,[status(thm)],[f1485,f1111])).
% 22.16/5.34 thf(f1111,plain,(
% 22.16/5.34 ((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = $true)),
% 22.16/5.34 inference(superposition,[status(thm)],[f503,f1110])).
% 22.16/5.34 thf(f1110,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) = (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f692,f723])).
% 22.16/5.34 thf(f723,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f58])).
% 22.16/5.34 thf(f58,axiom,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)) = (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EONE)).
% 22.16/5.34 thf(f692,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) = (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f59])).
% 22.16/5.34 thf(f59,axiom,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) = (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2ETWO)).
% 22.16/5.34 thf(f503,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X0)) = $true)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f189])).
% 22.16/5.34 thf(f189,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X0)) = $true)),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f188])).
% 22.16/5.34 thf(f188,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X0))),
% 22.16/5.34 inference(rectify,[status(thm)],[f99])).
% 22.16/5.34 thf(f99,axiom,(
% 22.16/5.34 ! [X20 : mono_2Etyop_2Enum_2Enum] : (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ X20))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Eprim__rec_2ELESS__0)).
% 22.16/5.34 thf(f1485,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true) | ((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) != $true) | (mono_2Ec_2Enum_2E0 = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f1114,f1115])).
% 22.16/5.34 thf(f1115,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2A @ (sK32 @ X0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = X0) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f456,f689])).
% 22.16/5.34 thf(f689,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK32 @ X0)) = X0) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f432])).
% 22.16/5.34 thf(f432,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true) | ! [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) != X0)) & (((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK32 @ X0)) = X0) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)))),
% 22.16/5.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK32])],[f430,f431])).
% 22.16/5.34 thf(f431,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (? [X2 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2) = X0) => ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK32 @ X0)) = X0))),
% 22.16/5.34 introduced(definition,[],[choice_axiom])).
% 22.16/5.34 thf(f430,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true) | ! [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) != X0)) & (? [X2 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2) = X0) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)))),
% 22.16/5.34 inference(rectify,[status(thm)],[f429])).
% 22.16/5.34 thf(f429,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true) | ! [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) != X0)) & (? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) = X0) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) != $true)))),
% 22.16/5.34 inference(nnf_transformation,[status(thm)],[f149])).
% 22.16/5.34 thf(f149,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true) <=> ? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) = X0))),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f148])).
% 22.16/5.34 thf(f148,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1) = X0) <=> (mono_2Ec_2Earithmetic_2EEVEN @ X0))),
% 22.16/5.34 inference(rectify,[status(thm)],[f66])).
% 22.16/5.34 thf(f66,axiom,(
% 22.16/5.34 ! [X20 : mono_2Etyop_2Enum_2Enum] : (? [X21 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X21) = X20) <=> (mono_2Ec_2Earithmetic_2EEVEN @ X20))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EEVEN__EXISTS)).
% 22.16/5.34 thf(f456,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2A @ X1 @ X0) = (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f245])).
% 22.16/5.34 thf(f245,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ X1 @ X0) = (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1))),
% 22.16/5.34 inference(rectify,[status(thm)],[f63])).
% 22.16/5.34 thf(f63,axiom,(
% 22.16/5.34 ! [X19 : mono_2Etyop_2Enum_2Enum,X18 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2A @ X18 @ X19) = (mono_2Ec_2Earithmetic_2E_2A @ X19 @ X18))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMULT__COMM)).
% 22.16/5.34 thf(f1114,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2E0 = (mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1) @ X1)) | ((mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ X1) != $true)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f830,f489])).
% 22.16/5.34 thf(f489,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0) = X0)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f237])).
% 22.16/5.34 thf(f237,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2B @ X0 @ mono_2Ec_2Enum_2E0) = X0)),
% 22.16/5.34 inference(rectify,[status(thm)],[f60])).
% 22.16/5.34 thf(f60,axiom,(
% 22.16/5.34 ! [X18 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_2B @ X18 @ mono_2Ec_2Enum_2E0) = X18)),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EADD__0)).
% 22.16/5.34 thf(f830,plain,(
% 22.16/5.34 ( ! [X3 : mono_2Etyop_2Enum_2Enum,X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1) @ X0) @ X1) = X0) | ((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) != $true)) )),
% 22.16/5.34 inference(equality_resolution,[status(thm)],[f514])).
% 22.16/5.34 thf(f514,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X3 : mono_2Etyop_2Enum_2Enum,X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1) @ X0) != X2) | ((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) != $true) | ((mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1) = X0)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f287])).
% 22.16/5.34 thf(f287,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Enum_2Enum] : (! [X3 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1) @ X0) != X2) | ((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) != $true)) | ((mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1) = X0))),
% 22.16/5.34 inference(ennf_transformation,[status(thm)],[f199])).
% 22.16/5.34 thf(f199,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Enum_2Enum] : (? [X3 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1) @ X0) = X2) & ((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) = $true)) => ((mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1) = X0))),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f198])).
% 22.16/5.34 thf(f198,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Enum_2Enum] : (? [X3 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Eprim__rec_2E_3C @ X0 @ X1) & ((mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X3 @ X1) @ X0) = X2)) => ((mono_2Ec_2Earithmetic_2EMOD @ X2 @ X1) = X0))),
% 22.16/5.34 inference(rectify,[status(thm)],[f68])).
% 22.16/5.34 thf(f68,axiom,(
% 22.16/5.34 ! [X23 : mono_2Etyop_2Enum_2Enum,X20 : mono_2Etyop_2Enum_2Enum,X22 : mono_2Etyop_2Enum_2Enum] : (? [X24 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Eprim__rec_2E_3C @ X23 @ X20) & ((mono_2Ec_2Earithmetic_2E_2B @ (mono_2Ec_2Earithmetic_2E_2A @ X24 @ X20) @ X23) = X22)) => ((mono_2Ec_2Earithmetic_2EMOD @ X22 @ X20) = X23))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMOD__UNIQUE)).
% 22.16/5.34 thf(f3322,plain,(
% 22.16/5.34 (mono_2Ec_2Enum_2E0 != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ~spl33_32),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f3321,f2720])).
% 22.16/5.34 thf(f2720,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1) = X0)) )),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f2707,f449])).
% 22.16/5.34 thf(f449,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0))) = X0)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f261])).
% 22.16/5.34 thf(f261,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0))) = X0)),
% 22.16/5.34 inference(rectify,[status(thm)],[f31])).
% 22.16/5.34 thf(f31,axiom,(
% 22.16/5.34 ! [X8 : mono_2Etyop_2Enum_2Enum] : ((j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X8))) = X8)),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ji_2Emono_2Etyop_2Enum_2Enum)).
% 22.16/5.34 thf(f2707,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1) = (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0))))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f449,f1159])).
% 22.16/5.34 thf(f1159,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)) = (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ X0 @ X1))))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f771,f651])).
% 22.16/5.34 thf(f651,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X0 : $o,X1 : mono_2Etyop_2Enum_2Enum] : (((s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X1)))) = (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X2 @ X1))))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f239])).
% 22.16/5.34 thf(f239,plain,(
% 22.16/5.34 ! [X0 : $o,X1 : mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Enum_2Enum] : ((s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X1)))) = (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X2 @ X1))))),
% 22.16/5.34 inference(rectify,[status(thm)],[f49])).
% 22.16/5.34 thf(f49,axiom,(
% 22.16/5.34 ! [X8 : $o,X17 : mono_2Etyop_2Enum_2Enum,X9 : mono_2Etyop_2Enum_2Enum] : ((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X8 @ X9 @ X17))) = (s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X8)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X9)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X17)))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',monoeq_2Emono_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Enum_2Enum)).
% 22.16/5.34 thf(f771,plain,(
% 22.16/5.34 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X2))) )),
% 22.16/5.34 inference(definition_unfolding,[status(thm)],[f648,f459])).
% 22.16/5.34 thf(f459,plain,(
% 22.16/5.34 (mono_2Ec_2Ebool_2ET = $true)),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f223])).
% 22.16/5.34 thf(f223,plain,(
% 22.16/5.34 (mono_2Ec_2Ebool_2ET = $true)),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f222])).
% 22.16/5.34 thf(f222,plain,(
% 22.16/5.34 mono_2Ec_2Ebool_2ET),
% 22.16/5.34 inference(rectify,[status(thm)],[f70])).
% 22.16/5.34 thf(f70,axiom,(
% 22.16/5.34 mono_2Ec_2Ebool_2ET),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ETRUTH)).
% 22.16/5.34 thf(f648,plain,(
% 22.16/5.34 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X2))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f255])).
% 22.16/5.34 thf(f255,plain,(
% 22.16/5.34 ! [X0 : u,X1 : d,X2 : u] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X2)) & ((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X0)))),
% 22.16/5.34 inference(rectify,[status(thm)],[f83])).
% 22.16/5.34 thf(f83,axiom,(
% 22.16/5.34 ! [X29 : u,X0 : d,X28 : u] : (((s @ X0 @ X28) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X28) @ (s @ X0 @ X29)))) & ((s @ X0 @ X29) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X28) @ (s @ X0 @ X29)))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ECOND__CLAUSES)).
% 22.16/5.34 thf(f3321,plain,(
% 22.16/5.34 ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ $true @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ~spl33_32),
% 22.16/5.34 inference(backward_demodulation,[status(thm)],[f1105,f3312])).
% 22.16/5.34 thf(f1105,plain,(
% 22.16/5.34 ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ sK15) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f463,f723])).
% 22.16/5.34 thf(f463,plain,(
% 22.16/5.34 ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ sK15) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f333])).
% 22.16/5.34 thf(f333,plain,(
% 22.16/5.34 ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ sK15) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f288,f332])).
% 22.16/5.34 thf(f332,plain,(
% 22.16/5.34 ? [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) != (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X0) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO)))) => ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ sK15) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 introduced(definition,[],[choice_axiom])).
% 22.16/5.34 thf(f288,plain,(
% 22.16/5.34 ? [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) != (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X0) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(ennf_transformation,[status(thm)],[f226])).
% 22.16/5.34 thf(f226,plain,(
% 22.16/5.34 ~! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X0) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(rectify,[status(thm)],[f116])).
% 22.16/5.34 thf(f116,negated_conjecture,(
% 22.16/5.34 ~! [X20 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EMOD @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X20) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(negated_conjecture,[status(cth)],[f115])).
% 22.16/5.34 thf(f115,conjecture,(
% 22.16/5.34 ! [X20 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EMOD @ X20 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2EEVEN @ X20) @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EMOD__2)).
% 22.16/5.34 thf(f3320,plain,(
% 22.16/5.34 spl33_32 | ~spl33_16 | spl33_31),
% 22.16/5.34 inference(avatar_split_clause,[status(thm)],[f3319,f3306,f2354,f3310])).
% 22.16/5.34 thf(f2354,definition,(
% 22.16/5.34 spl33_16 <=> ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true))),
% 22.16/5.34 introduced(definition,[new_symbols(naming,[spl33_16])],[avatar_definition])).
% 22.16/5.34 thf(f3306,definition,(
% 22.16/5.34 spl33_31 <=> ((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 introduced(definition,[new_symbols(naming,[spl33_31])],[avatar_definition])).
% 22.16/5.34 thf(f3319,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) = $true) | (~spl33_16 | spl33_31)),
% 22.16/5.34 inference(trivial_inequality_removal,[status(thm)],[f3318])).
% 22.16/5.34 thf(f3318,plain,(
% 22.16/5.34 ($true != $true) | ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) = $true) | (~spl33_16 | spl33_31)),
% 22.16/5.34 inference(superposition,[status(thm)],[f3316,f974])).
% 22.16/5.34 thf(f974,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2EODD @ X0) = $true) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true)) )),
% 22.16/5.34 inference(not_proxy_clausification,[status(thm)],[f973])).
% 22.16/5.34 thf(f973,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (($false = (~ (mono_2Ec_2Earithmetic_2EODD @ X0))) | ((mono_2Ec_2Earithmetic_2EEVEN @ X0) = $true)) )),
% 22.16/5.34 inference(binary_proxy_clausification,[status(thm)],[f722])).
% 22.16/5.34 thf(f722,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((~ (mono_2Ec_2Earithmetic_2EODD @ X0)) = (mono_2Ec_2Earithmetic_2EEVEN @ X0))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f125])).
% 22.16/5.34 thf(f125,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((~ (mono_2Ec_2Earithmetic_2EODD @ X0)) = (mono_2Ec_2Earithmetic_2EEVEN @ X0))),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f124])).
% 22.16/5.34 thf(f124,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EEVEN @ X0) <=> (~ (mono_2Ec_2Earithmetic_2EODD @ X0)))),
% 22.16/5.34 inference(rectify,[status(thm)],[f64])).
% 22.16/5.34 thf(f64,axiom,(
% 22.16/5.34 ! [X20 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2EEVEN @ X20) <=> (~ (mono_2Ec_2Earithmetic_2EODD @ X20)))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EEVEN__ODD)).
% 22.16/5.34 thf(f3316,plain,(
% 22.16/5.34 ($true != (mono_2Ec_2Earithmetic_2EODD @ sK15)) | (~spl33_16 | spl33_31)),
% 22.16/5.34 inference(trivial_inequality_removal,[status(thm)],[f3314])).
% 22.16/5.34 thf(f3314,plain,(
% 22.16/5.34 ($true != (mono_2Ec_2Earithmetic_2EODD @ sK15)) | ((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) != (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) | (~spl33_16 | spl33_31)),
% 22.16/5.34 inference(superposition,[status(thm)],[f3308,f2355])).
% 22.16/5.34 thf(f2355,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) ) | ~spl33_16),
% 22.16/5.34 inference(avatar_component_clause,[status(thm)],[f2354])).
% 22.16/5.34 thf(f3308,plain,(
% 22.16/5.34 ((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | spl33_31),
% 22.16/5.34 inference(avatar_component_clause,[status(thm)],[f3306])).
% 22.16/5.34 thf(f3313,plain,(
% 22.16/5.34 ~spl33_31 | spl33_32),
% 22.16/5.34 inference(avatar_split_clause,[status(thm)],[f3304,f3310,f3306])).
% 22.16/5.34 thf(f3304,plain,(
% 22.16/5.34 ((mono_2Ec_2Earithmetic_2EEVEN @ sK15) = $true) | ((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) != (mono_2Ec_2Earithmetic_2EMOD @ sK15 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(superposition,[status(thm)],[f1105,f3300])).
% 22.16/5.34 thf(f3300,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X0 : $o,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2) = X2) | ($true = X0)) )),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f3286,f449])).
% 22.16/5.34 thf(f3286,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X0 : $o,X1 : mono_2Etyop_2Enum_2Enum] : (($true = X0) | ((mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2) = (j_mono_2Etyop_2Enum_2Enum @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f449,f1483])).
% 22.16/5.34 thf(f1483,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X0 : $o,X1 : mono_2Etyop_2Enum_2Enum] : (((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2))) = (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))) | ($true = X0)) )),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f1461,f966])).
% 22.16/5.34 thf(f966,plain,(
% 22.16/5.34 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X0))) )),
% 22.16/5.34 inference(boolean_simplification,[status(thm)],[f772])).
% 22.16/5.34 thf(f772,plain,(
% 22.16/5.34 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (~ $true))) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X0))) )),
% 22.16/5.34 inference(definition_unfolding,[status(thm)],[f647,f724])).
% 22.16/5.34 thf(f724,plain,(
% 22.16/5.34 (mono_2Ec_2Ebool_2EF = (~ $true))),
% 22.16/5.34 inference(definition_unfolding,[status(thm)],[f614,f459])).
% 22.16/5.34 thf(f614,plain,(
% 22.16/5.34 (mono_2Ec_2Ebool_2EF = (~ mono_2Ec_2Ebool_2ET))),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f159])).
% 22.16/5.34 thf(f159,plain,(
% 22.16/5.34 ! [X0 : $o] : ((~ (~ X0)) = X0) & (mono_2Ec_2Ebool_2EF = (~ mono_2Ec_2Ebool_2ET)) & (mono_2Ec_2Ebool_2ET = (~ mono_2Ec_2Ebool_2EF))),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f158])).
% 22.16/5.34 thf(f158,plain,(
% 22.16/5.34 ((~ mono_2Ec_2Ebool_2ET) <=> mono_2Ec_2Ebool_2EF) & (mono_2Ec_2Ebool_2ET <=> (~ mono_2Ec_2Ebool_2EF)) & ! [X0 : $o] : (X0 <=> (~ (~ X0)))),
% 22.16/5.34 inference(rectify,[status(thm)],[f79])).
% 22.16/5.34 thf(f79,axiom,(
% 22.16/5.34 ((~ mono_2Ec_2Ebool_2ET) <=> mono_2Ec_2Ebool_2EF) & (mono_2Ec_2Ebool_2ET <=> (~ mono_2Ec_2Ebool_2EF)) & ! [X25 : $o] : (X25 <=> (~ (~ X25)))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Ebool_2ENOT__CLAUSES)).
% 22.16/5.34 thf(f647,plain,(
% 22.16/5.34 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ X1 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X1 @ X2) @ (s @ X1 @ X0))) = (s @ X1 @ X0))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f255])).
% 22.16/5.34 thf(f1461,plain,(
% 22.16/5.34 ( ! [X2 : mono_2Etyop_2Enum_2Enum,X0 : $o,X1 : mono_2Etyop_2Enum_2Enum] : (((s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Ebool_2ECOND_2Emono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2))) = (s @ tyop_2Enum_2Enum @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X1)) @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))))) | ($true = X0)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f651,f1142])).
% 22.16/5.34 thf(f1142,plain,(
% 22.16/5.34 ( ! [X0 : $o] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0))) | ($true = X0)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f652,f1045])).
% 22.16/5.34 thf(f1045,plain,(
% 22.16/5.34 ( ! [X0 : $o] : (($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) | ($true = X0)) )),
% 22.16/5.34 inference(binary_proxy_clausification,[status(thm)],[f696])).
% 22.16/5.34 thf(f696,plain,(
% 22.16/5.34 ( ! [X0 : $o] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0))) = X0)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f241])).
% 22.16/5.34 thf(f241,plain,(
% 22.16/5.34 ! [X0 : $o] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0))) = X0)),
% 22.16/5.34 inference(rectify,[status(thm)],[f22])).
% 22.16/5.34 thf(f22,axiom,(
% 22.16/5.34 ! [X8 : $o] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X8))) = X8)),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ji_2Emono_2Etyop_2Emin_2Ebool)).
% 22.16/5.34 thf(f652,plain,(
% 22.16/5.34 ( ! [X0 : u] : (((s @ tyop_2Emin_2Ebool @ X0) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X0)))))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f240])).
% 22.16/5.34 thf(f240,plain,(
% 22.16/5.34 ! [X0 : u] : ((s @ tyop_2Emin_2Ebool @ X0) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X0)))))),
% 22.16/5.34 inference(rectify,[status(thm)],[f12])).
% 22.16/5.34 thf(f12,axiom,(
% 22.16/5.34 ! [X10 : u] : ((s @ tyop_2Emin_2Ebool @ X10) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ X10)))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',ij_2Emono_2Etyop_2Emin_2Ebool)).
% 22.16/5.34 thf(f2368,plain,(
% 22.16/5.34 spl33_15),
% 22.16/5.34 inference(avatar_contradiction_clause,[status(thm)],[f2367])).
% 22.16/5.34 thf(f2367,plain,(
% 22.16/5.34 $false | spl33_15),
% 22.16/5.34 inference(trivial_inequality_removal,[status(thm)],[f2360])).
% 22.16/5.34 thf(f2360,plain,(
% 22.16/5.34 ($false = $true) | spl33_15),
% 22.16/5.34 inference(superposition,[status(thm)],[f2359,f503])).
% 22.16/5.34 thf(f2359,plain,(
% 22.16/5.34 ($false = (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))) | spl33_15),
% 22.16/5.34 inference(trivial_inequality_removal,[status(thm)],[f2358])).
% 22.16/5.34 thf(f2358,plain,(
% 22.16/5.34 ($false = (mono_2Ec_2Eprim__rec_2E_3C @ mono_2Ec_2Enum_2E0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0))) | ($true != $true) | spl33_15),
% 22.16/5.34 inference(superposition,[status(thm)],[f2349,f1429])).
% 22.16/5.34 thf(f1429,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = $true) | ($false = (mono_2Ec_2Eprim__rec_2E_3C @ X0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f1005,f1110])).
% 22.16/5.34 thf(f1005,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X1) @ (mono_2Ec_2Enum_2ESUC @ X0)) = $true) | ($false = (mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0))) )),
% 22.16/5.34 inference(binary_proxy_clausification,[status(thm)],[f517])).
% 22.16/5.34 thf(f517,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X1) @ (mono_2Ec_2Enum_2ESUC @ X0)) = (mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f244])).
% 22.16/5.34 thf(f244,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X1) @ (mono_2Ec_2Enum_2ESUC @ X0)) = (mono_2Ec_2Eprim__rec_2E_3C @ X1 @ X0))),
% 22.16/5.34 inference(rectify,[status(thm)],[f61])).
% 22.16/5.34 thf(f61,axiom,(
% 22.16/5.34 ! [X19 : mono_2Etyop_2Enum_2Enum,X18 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ X18) @ (mono_2Ec_2Enum_2ESUC @ X19)) = (mono_2Ec_2Eprim__rec_2E_3C @ X18 @ X19))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2ELESS__MONO__EQ)).
% 22.16/5.34 thf(f2349,plain,(
% 22.16/5.34 ((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) != $true) | spl33_15),
% 22.16/5.34 inference(avatar_component_clause,[status(thm)],[f2347])).
% 22.16/5.34 thf(f2347,definition,(
% 22.16/5.34 spl33_15 <=> ((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) = $true)),
% 22.16/5.34 introduced(definition,[new_symbols(naming,[spl33_15])],[avatar_definition])).
% 22.16/5.34 thf(f2356,plain,(
% 22.16/5.34 spl33_16 | ~spl33_15),
% 22.16/5.34 inference(avatar_split_clause,[status(thm)],[f2340,f2347,f2354])).
% 22.16/5.34 thf(f2340,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Earithmetic_2EMOD @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) | ((mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO))) != $true) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f1137,f2051])).
% 22.16/5.34 thf(f2051,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (sK14 @ X0) @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)))) = X0) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f462,f456])).
% 22.16/5.34 thf(f462,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK14 @ X0))) = X0) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f331])).
% 22.16/5.34 thf(f331,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK14 @ X0))) = X0) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) & (((mono_2Ec_2Earithmetic_2EODD @ X0) = $true) | ! [X2 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2)) != X0)))),
% 22.16/5.34 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f329,f330])).
% 22.16/5.34 thf(f330,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) = X0) => ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ (sK14 @ X0))) = X0))),
% 22.16/5.34 introduced(definition,[],[choice_axiom])).
% 22.16/5.34 thf(f329,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) = X0) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) & (((mono_2Ec_2Earithmetic_2EODD @ X0) = $true) | ! [X2 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X2)) != X0)))),
% 22.16/5.34 inference(rectify,[status(thm)],[f328])).
% 22.16/5.34 thf(f328,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) = X0) | ((mono_2Ec_2Earithmetic_2EODD @ X0) != $true)) & (((mono_2Ec_2Earithmetic_2EODD @ X0) = $true) | ! [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) != X0)))),
% 22.16/5.34 inference(nnf_transformation,[status(thm)],[f119])).
% 22.16/5.34 thf(f119,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) = X0) <=> ((mono_2Ec_2Earithmetic_2EODD @ X0) = $true))),
% 22.16/5.34 inference(fool_elimination,[status(thm)],[f118])).
% 22.16/5.34 thf(f118,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : (? [X1 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X1)) = X0) <=> (mono_2Ec_2Earithmetic_2EODD @ X0))),
% 22.16/5.34 inference(rectify,[status(thm)],[f67])).
% 22.16/5.34 thf(f67,axiom,(
% 22.16/5.34 ! [X20 : mono_2Etyop_2Enum_2Enum] : (? [X21 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT2 @ mono_2Ec_2Earithmetic_2EZERO)) @ X21)) = X20) <=> (mono_2Ec_2Earithmetic_2EODD @ X20))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EODD__EXISTS)).
% 22.16/5.34 thf(f1137,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) = (mono_2Ec_2Earithmetic_2EMOD @ (mono_2Ec_2Enum_2ESUC @ (mono_2Ec_2Earithmetic_2E_2A @ X0 @ X1)) @ X1)) | ($true != (mono_2Ec_2Eprim__rec_2E_3C @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0) @ X1))) )),
% 22.16/5.34 inference(superposition,[status(thm)],[f830,f1136])).
% 22.16/5.34 thf(f1136,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Earithmetic_2E_2B @ X0 @ (mono_2Ec_2Enum_2ESUC @ mono_2Ec_2Enum_2E0)) = (mono_2Ec_2Enum_2ESUC @ X0))) )),
% 22.16/5.34 inference(forward_demodulation,[status(thm)],[f588,f723])).
% 22.16/5.34 thf(f588,plain,(
% 22.16/5.34 ( ! [X0 : mono_2Etyop_2Enum_2Enum] : (((mono_2Ec_2Enum_2ESUC @ X0) = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))) )),
% 22.16/5.34 inference(cnf_transformation,[status(thm)],[f238])).
% 22.16/5.34 thf(f238,plain,(
% 22.16/5.34 ! [X0 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ X0) = (mono_2Ec_2Earithmetic_2E_2B @ X0 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 inference(rectify,[status(thm)],[f62])).
% 22.16/5.34 thf(f62,axiom,(
% 22.16/5.34 ! [X18 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Enum_2ESUC @ X18) = (mono_2Ec_2Earithmetic_2E_2B @ X18 @ (mono_2Ec_2Earithmetic_2ENUMERAL @ (mono_2Ec_2Earithmetic_2EBIT1 @ mono_2Ec_2Earithmetic_2EZERO))))),
% 22.16/5.34 file('/export/starexec/sandbox2/tmp/tmp.UsY6zm6mDx/DTF2THF_28205.p',thm_2Earithmetic_2EADD1)).
% 22.16/5.34 % SZS output end Proof for DTF2THF_28205
% 22.16/5.34 % (28544)------------------------------
% 22.16/5.34 % (28544)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 22.16/5.34 % (28544)Termination reason: Refutation
% 22.16/5.34
% 22.16/5.34 % (28544)Memory used [KB]: 7803
% 22.16/5.34 % (28544)Time elapsed: 0.267 s
% 22.16/5.34 % (28544)Instructions burned: 858 (million)
% 22.16/5.34 % (28544)------------------------------
% 22.16/5.34 % (28544)------------------------------
% 22.16/5.34 % (28337)Success in time 2.936 s
%------------------------------------------------------------------------------