%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP020^1 : 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 : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:54:12 AM UTC 2026
% Result : Theorem 17.33s 3.83s
% Output : Refutation 17.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 68 ( 23 unt; 0 typ; 3 def)
% Number of atoms : 555 ( 164 equ; 0 cnn)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 1208 ( 76 ~; 70 |; 47 &; 971 @)
% ( 26 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 125 ( 122 usr; 24 con; 0-4 aty)
% Number of variables : 112 ( 0 ^; 92 !; 20 ?; 112 :)
% 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(type_def_10,type,
mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $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,
mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).
thf(func_def_5,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_6,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_7,type,
tyop_2Enum_2Enum: d ).
thf(func_def_8,type,
tyop_2Epair_2Eprod: d > d > d ).
thf(func_def_9,type,
s: d > u > du ).
thf(func_def_10,type,
app_2E2: du > du > u ).
thf(func_def_11,type,
combin_i_2E0: u ).
thf(func_def_12,type,
combin_k_2E0: u ).
thf(func_def_13,type,
combin_s_2E0: u ).
thf(func_def_14,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_15,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_16,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_17,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_18,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_19,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_20,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_21,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_22,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_23,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_24,type,
c_2Epred__set_2EBIJ_2E0: u ).
thf(func_def_25,type,
c_2Epred__set_2EBIJ_2E3: du > du > du > u ).
thf(func_def_26,type,
c_2Epred__set_2ECROSS_2E0: u ).
thf(func_def_27,type,
c_2Epred__set_2ECROSS_2E2: du > du > u ).
thf(func_def_28,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_29,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_30,type,
c_2Epred__set_2EUNIV_2E0: u ).
thf(func_def_31,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_32,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_33,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_34,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_35,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_36,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_37,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_38,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_39,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_40,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_41,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_42,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_43,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_44,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_45,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_46,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_47,type,
mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_48,type,
mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_49,type,
mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_52,type,
mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_53,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_54,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_55,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_56,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_57,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_58,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(func_def_59,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
thf(func_def_60,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
thf(func_def_61,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
thf(func_def_62,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
thf(func_def_63,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
thf(func_def_64,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(func_def_65,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
thf(func_def_66,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_67,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > u ).
thf(func_def_68,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
thf(func_def_69,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_70,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_71,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_72,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_73,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_74,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_75,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_76,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_77,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_78,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
thf(func_def_79,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_80,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
thf(func_def_81,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_82,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
thf(func_def_83,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
thf(func_def_84,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(func_def_93,type,
sP0: $o > $o > $o > $o ).
thf(func_def_94,type,
sP1: $o > $o > $o > $o ).
thf(func_def_95,type,
sP2: $o > $o > $o > $o ).
thf(func_def_96,type,
sP3: $o > $o > $o > $o ).
thf(func_def_97,type,
sP4: $o > $o > $o > $o ).
thf(func_def_98,type,
sP5: $o > $o > $o > $o ).
thf(func_def_99,type,
sP6: $o > $o > $o > $o ).
thf(func_def_100,type,
sP7: $o > $o > $o > $o ).
thf(func_def_101,type,
sP8: $o > $o > $o > $o ).
thf(func_def_102,type,
sP9: $o > $o > $o > $o ).
thf(func_def_103,type,
sK10: u > d > u ).
thf(func_def_104,type,
sK11: u > $o > d > u ).
thf(func_def_105,type,
sK12: u > u > d > d > u ).
thf(func_def_106,type,
sK13: $o > u > d > u ).
thf(func_def_107,type,
sK14: u > d > u ).
thf(func_def_108,type,
sK15: d > u > u ).
thf(func_def_109,type,
sK16: d > u > $o > u ).
thf(func_def_110,type,
sK17: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
thf(func_def_111,type,
sK18: u > u > d > d > u ).
thf(func_def_112,type,
sK19: u > u > d > d > u ).
thf(func_def_113,type,
sK20: u > d > d > u ).
thf(func_def_114,type,
sK21: u > d > d > u ).
thf(func_def_115,type,
sK22: u > d > u ).
thf(func_def_116,type,
sK23: u > d > u ).
thf(func_def_117,type,
sK24: u > d > $o > u ).
thf(func_def_118,type,
sK25: d > u > d > u > u ).
thf(func_def_119,type,
sK26: d > u > d > u > u ).
thf(func_def_120,type,
sK27: d > u > u ).
thf(func_def_121,type,
sK28: u > d > u ).
thf(func_def_122,type,
sK29: u > d > $o > u ).
thf(func_def_123,type,
sK30: d > u > $o > u ).
thf(func_def_124,type,
sK31: d > u > u ).
thf(func_def_125,type,
sK32: u > d > u ).
thf(func_def_126,type,
sK33: u > d > $o > u ).
thf(func_def_127,type,
sK34: u > d > u ).
thf(func_def_128,type,
sK35: u > d > u ).
thf(func_def_129,type,
sK36: u > d > $o > u ).
thf(func_def_131,type,
sK38: u > d > u ).
thf(func_def_132,type,
ph39:
!>[X0: $tType] : X0 ).
thf(f5723,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f1016,f1867,f5336,f5722]) ).
thf(f5722,plain,
~ spl37_25,
inference(avatar_contradiction_clause,[status(thm)],[f5721]) ).
thf(f5721,plain,
( $false
| ~ spl37_25 ),
inference(trivial_inequality_removal,[status(thm)],[f5720]) ).
thf(f5720,plain,
( ( $true = $false )
| ~ spl37_25 ),
inference(duplicate_literal_removal,[status(thm)],[f5715]) ).
thf(f5715,plain,
( ( $true = $false )
| ( $true = $false )
| ~ spl37_25 ),
inference(superposition,[status(thm)],[f857,f1811]) ).
thf(f1811,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) )
= $true )
| ~ spl37_25 ),
inference(avatar_component_clause,[status(thm)],[f1810]) ).
thf(f1810,definition,
( spl37_25
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl37_25])],[avatar_definition]) ).
thf(f857,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)],[f669]) ).
thf(f669,plain,
! [X0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(cnf_transformation,[status(thm)],[f237]) ).
thf(f237,plain,
! [X0: $o] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) )
= X0 ),
inference(rectify,[status(thm)],[f27]) ).
thf(f27,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.Du1IlhiPwd/DTF2THF_29865.p',ji_2Emono_2Etyop_2Emin_2Ebool) ).
thf(f5336,plain,
( spl37_25
| ~ spl37_5
| ~ spl37_13 ),
inference(avatar_split_clause,[status(thm)],[f5335,f1756,f945,f1810]) ).
thf(f945,definition,
( spl37_5
<=> ! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ) ),
introduced(definition,[new_symbols(naming,[spl37_5])],[avatar_definition]) ).
thf(f1756,definition,
( spl37_13
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl37_13])],[avatar_definition]) ).
thf(f5335,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $false ) ) )
= $true )
| ~ spl37_5
| ~ spl37_13 ),
inference(forward_demodulation,[status(thm)],[f5334,f1054]) ).
thf(f1054,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) )
= $false )
| ~ spl37_5 ),
inference(trivial_inequality_removal,[status(thm)],[f1034]) ).
thf(f1034,plain,
( ! [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
( ( $true != $true )
| ( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) )
= $false ) )
| ~ spl37_5 ),
inference(superposition,[status(thm)],[f510,f946]) ).
thf(f946,plain,
( ! [X0: $o] :
( ( $true = X0 )
| ( $false = X0 ) )
| ~ spl37_5 ),
inference(avatar_component_clause,[status(thm)],[f945]) ).
thf(f510,plain,
! [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
( $true
!= ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
thf(f255,plain,
! [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
( $true
!= ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ),
inference(ennf_transformation,[status(thm)],[f169]) ).
thf(f169,plain,
~ ? [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
( $true
= ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ),
inference(fool_elimination,[status(thm)],[f168]) ).
thf(f168,plain,
~ ? [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ),
inference(rectify,[status(thm)],[f106]) ).
thf(f106,negated_conjecture,
~ ? [X43: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X43 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ),
inference(negated_conjecture,[status(cth)],[f105]) ).
thf(f105,conjecture,
? [X43: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X43 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV) ).
thf(f5334,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( sK25 @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ) ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ) ) ) )
| ~ spl37_13 ),
inference(subsumption_resolution,[status(thm)],[f5327,f1757]) ).
thf(f1757,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) )
= $true )
| ~ spl37_13 ),
inference(avatar_component_clause,[status(thm)],[f1756]) ).
thf(f5327,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( sK25 @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ) ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f5305,f516]) ).
thf(f516,plain,
( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum )
= $true ),
inference(cnf_transformation,[status(thm)],[f326]) ).
thf(f326,plain,
( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum )
= $true ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f171,f325]) ).
thf(f325,plain,
( ? [X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum )
= $true )
=> ( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum )
= $true ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f171,plain,
? [X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum )
= $true ),
inference(fool_elimination,[status(thm)],[f170]) ).
thf(f170,plain,
? [X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ),
inference(rectify,[status(thm)],[f104]) ).
thf(f104,axiom,
? [X43: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X43 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Eutil__prob_2ENUM__2D__BIJ) ).
thf(f5305,plain,
! [X2: mono_2Etyop_2Enum_2Enum > $o,X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( sK25 @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1 ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) ) ) @ X2 @ X1 ) ) ) ) ) ),
inference(forward_demodulation,[status(thm)],[f1447,f1230]) ).
thf(f1230,plain,
! [X2: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X0: u,X1: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 ) ) @ X1 @ X2 ) ) ) ),
inference(superposition,[status(thm)],[f493,f650]) ).
thf(f650,plain,
! [X0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f196]) ).
thf(f196,plain,
! [X0: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f24]) ).
thf(f24,axiom,
! [X10: u] :
( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X10 )
= ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ X10 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29) ).
thf(f493,plain,
! [X2: mono_2Etyop_2Enum_2Enum > $o,X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X2 @ X1 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
thf(f231,plain,
! [X0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X2: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1 ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X2 @ X1 ) ) ) ),
inference(rectify,[status(thm)],[f58]) ).
thf(f58,axiom,
! [X8: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X16: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X9: mono_2Etyop_2Enum_2Enum > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X8 @ X9 @ X16 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X8 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X9 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X16 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) ).
thf(f1447,plain,
! [X2: mono_2Etyop_2Enum_2Enum > $o,X0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( sK25 @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1 ) @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1 ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f571,f506]) ).
thf(f506,plain,
! [X2: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X0: mono_2Etyop_2Enum_2Enum > $o,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X1 @ X2 @ X0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0 ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
thf(f229,plain,
! [X0: mono_2Etyop_2Enum_2Enum > $o,X1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X1 @ X2 @ X0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f60]) ).
thf(f60,axiom,
! [X16: mono_2Etyop_2Enum_2Enum > $o,X8: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X9: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X8 @ X9 @ X16 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X8 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X9 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X16 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum) ).
thf(f571,plain,
! [X2: u,X3: d,X0: u,X1: d,X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f366]) ).
thf(f366,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) )
| ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ! [X7: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
!= $true ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f363,f365,f364]) ).
thf(f364,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ? [X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
= $true )
=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ ( sK25 @ X3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f365,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ? [X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ ( sK26 @ X3 @ X2 @ X1 @ X0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f363,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ( ? [X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
= $true )
| ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true ) )
& ( ? [X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
| ! [X7: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X7 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
!= $true ) ) ),
inference(rectify,[status(thm)],[f362]) ).
thf(f362,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ( ? [X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
= $true )
| ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true ) )
& ( ? [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
| ! [X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
!= $true ) ) ),
inference(nnf_transformation,[status(thm)],[f149]) ).
thf(f149,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ? [X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
= $true )
<=> ? [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true ) ),
inference(fool_elimination,[status(thm)],[f148]) ).
thf(f148,plain,
! [X0: u,X1: d,X2: u,X3: d] :
( ? [X4: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X3 @ X1 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) ) ) )
<=> ? [X5: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X3 ) @ X5 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X2 ) @ ( s @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ),
inference(rectify,[status(thm)],[f93]) ).
thf(f93,axiom,
! [X33: u,X0: d,X32: u,X1: d] :
( ? [X35: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X35 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X33 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X32 ) ) ) )
<=> ? [X34: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X34 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X32 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X33 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Epred__set_2EBIJ__SYM) ).
thf(f1867,plain,
spl37_13,
inference(avatar_contradiction_clause,[status(thm)],[f1866]) ).
thf(f1866,plain,
( $false
| spl37_13 ),
inference(trivial_inequality_removal,[status(thm)],[f1864]) ).
thf(f1864,plain,
( ( $true != $true )
| ( $true = $false )
| spl37_13 ),
inference(superposition,[status(thm)],[f1758,f856]) ).
thf(f856,plain,
! [X0: $o] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) )
| ( $false = X0 ) ),
inference(binary_proxy_clausification,[status(thm)],[f669]) ).
thf(f1758,plain,
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) )
!= $true )
| spl37_13 ),
inference(avatar_component_clause,[status(thm)],[f1756]) ).
thf(f1016,plain,
spl37_5,
inference(avatar_split_clause,[status(thm)],[f796,f945]) ).
thf(f796,plain,
! [X0: $o] :
( ( $false = X0 )
| ( $true = X0 ) ),
inference(not_proxy_clausification,[status(thm)],[f635]) ).
thf(f635,plain,
! [X0: $o] :
( ( $true = X0 )
| ( $true = ( ~ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f399]) ).
thf(f399,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true = X0 )
& ( $true != X0 ) ) )
& ( ( $true != X0 )
| ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( ( mono_2Ec_2Ebool_2ET = $true )
& ( $true != X0 ) ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2EF != $true )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true != X0 )
& ( mono_2Ec_2Ebool_2EF = $true ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( mono_2Ec_2Ebool_2ET != $true )
& ( $true = X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( $true = ( ~ X0 ) )
| ( ( $true = X0 )
& ( mono_2Ec_2Ebool_2EF != $true ) ) )
& ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2EF = $true )
| ( $true != ( ~ X0 ) ) ) ),
inference(flattening,[status(thm)],[f398]) ).
thf(f398,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true = X0 )
& ( $true != X0 ) ) )
& ( ( $true != X0 )
| ( $true = X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 )
| ( $true != X0 ) )
& ( ( $true = X0 )
| ( ( mono_2Ec_2Ebool_2ET = $true )
& ( $true != X0 ) ) )
& ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2EF != $true )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( $true != X0 )
& ( mono_2Ec_2Ebool_2EF = $true ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( ( mono_2Ec_2Ebool_2ET != $true )
& ( $true = X0 ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
| ( $true != X0 )
| ( mono_2Ec_2Ebool_2ET != $true ) )
& ( ( $true = ( ~ X0 ) )
| ( ( $true = X0 )
& ( mono_2Ec_2Ebool_2EF != $true ) ) )
& ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2EF = $true )
| ( $true != ( ~ X0 ) ) ) ),
inference(nnf_transformation,[status(thm)],[f251]) ).
thf(f251,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true != X0 )
| ( $true = X0 ) ) )
& ( ( ( mono_2Ec_2Ebool_2ET != $true )
| ( $true = X0 ) )
<=> ( $true = X0 ) )
& ( ( ( $true = X0 )
| ( mono_2Ec_2Ebool_2EF != $true ) )
<=> ( mono_2Ec_2Ebool_2ET = $true ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( mono_2Ec_2Ebool_2ET = $true )
| ( $true != X0 ) ) )
& ( ( $true = ( ~ X0 ) )
<=> ( ( $true != X0 )
| ( mono_2Ec_2Ebool_2EF = $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f151]) ).
thf(f151,plain,
! [X0: $o] :
( ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true = X0 )
=> ( $true = X0 ) ) )
& ( ( ( mono_2Ec_2Ebool_2ET = $true )
=> ( $true = X0 ) )
<=> ( $true = X0 ) )
& ( ( $true = ( ~ X0 ) )
<=> ( ( $true = X0 )
=> ( mono_2Ec_2Ebool_2EF = $true ) ) )
& ( ( mono_2Ec_2Ebool_2ET = $true )
<=> ( ( $true = X0 )
=> ( mono_2Ec_2Ebool_2ET = $true ) ) )
& ( ( ( mono_2Ec_2Ebool_2EF = $true )
=> ( $true = X0 ) )
<=> ( mono_2Ec_2Ebool_2ET = $true ) ) ),
inference(fool_elimination,[status(thm)],[f150]) ).
thf(f150,plain,
! [X0: $o] :
( ( ( X0
=> X0 )
<=> mono_2Ec_2Ebool_2ET )
& ( mono_2Ec_2Ebool_2ET
<=> ( X0
=> mono_2Ec_2Ebool_2ET ) )
& ( ~ X0
<=> ( X0
=> mono_2Ec_2Ebool_2EF ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( mono_2Ec_2Ebool_2EF
=> X0 ) )
& ( X0
<=> ( mono_2Ec_2Ebool_2ET
=> X0 ) ) ),
inference(rectify,[status(thm)],[f78]) ).
thf(f78,axiom,
! [X19: $o] :
( ( ( X19
=> X19 )
<=> mono_2Ec_2Ebool_2ET )
& ( mono_2Ec_2Ebool_2ET
<=> ( X19
=> mono_2Ec_2Ebool_2ET ) )
& ( ~ X19
<=> ( X19
=> mono_2Ec_2Ebool_2EF ) )
& ( mono_2Ec_2Ebool_2ET
<=> ( mono_2Ec_2Ebool_2EF
=> X19 ) )
& ( X19
<=> ( mono_2Ec_2Ebool_2ET
=> X19 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Ebool_2EIMP__CLAUSES) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP020^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n022.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 08:21:36 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.27/0.47 ---- Original DTF file ---
% 0.27/0.47 thf(spec,logic,$$dhol).
% 0.27/0.47 %------------------------------------------------------------------------------
% 0.27/0.47 % File : ITP020^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.27/0.47 % Domain : Interactive Theorem Proving
% 0.27/0.47 % Problem : HOL4 syntactic export of thm_2Eutil__prob_2ENUM__2D__BIJ__INV.p, bushy mode
% 0.27/0.47 % Version : [BG+19] axioms.
% 0.27/0.47 % English :
% 0.27/0.47
% 0.27/0.47 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.27/0.47 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.27/0.47 % Source : [BG+19]
% 0.27/0.47 % Names : thm_2Eutil__prob_2ENUM__2D__BIJ__INV.p [Gau19]
% 0.27/0.47 % : HL409501^1.p [TPAP]
% 0.27/0.47
% 0.27/0.47 % Status : ContradictoryAxioms
% 0.27/0.47 % Rating : 0.67 v9.1.0, 0.62 v9.0.0, 0.80 v8.2.0, 0.77 v8.1.0, 0.64 v7.5.0
% 0.27/0.47 % Syntax : Number of formulae : 190 ( 69 unt; 85 typ; 0 def)
% 0.27/0.47 % Number of atoms : 226 ( 76 equ; 40 cnn)
% 0.27/0.47 % Maximal formula atoms : 8 ( 2 avg)
% 0.27/0.47 % Number of connectives : 2072 ( 40 ~; 36 |; 29 &;1892 @)
% 0.27/0.47 % ( 46 <=>; 29 =>; 0 <=; 0 <~>)
% 0.27/0.47 % Maximal formula depth : 19 ( 5 avg)
% 0.27/0.47 % Number of types : 6 ( 5 usr)
% 0.27/0.47 % Number of type conns : 372 ( 372 >; 0 *; 0 +; 0 <<)
% 0.27/0.47 % Number of symbols : 82 ( 80 usr; 20 con; 0-4 aty)
% 0.27/0.47 % Number of variables : 220 ( 0 ^; 204 !; 16 ?; 220 :)
% 0.27/0.47 % SPC : TH0_THM_EQU_NAR
% 0.27/0.47
% 0.27/0.47 % Comments :
% 0.27/0.47 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.27/0.47 %------------------------------------------------------------------------------
% 0.27/0.47 thf(u,type,
% 0.27/0.47 u: $tType ).
% 0.27/0.47
% 0.27/0.47 thf(d,type,
% 0.27/0.47 d: $tType ).
% 0.27/0.47
% 0.27/0.47 thf(du,type,
% 0.27/0.47 du: $tType ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Etyop_2Enum_2Enum,type,
% 0.27/0.47 mono_2Etyop_2Enum_2Enum: $tType ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.27/0.47 mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).
% 0.27/0.47
% 0.27/0.47 thf(tyop_2Emin_2Ebool,type,
% 0.27/0.47 tyop_2Emin_2Ebool: d ).
% 0.27/0.47
% 0.27/0.47 thf(tyop_2Emin_2Efun,type,
% 0.27/0.47 tyop_2Emin_2Efun: d > d > d ).
% 0.27/0.47
% 0.27/0.47 thf(tyop_2Enum_2Enum,type,
% 0.27/0.47 tyop_2Enum_2Enum: d ).
% 0.27/0.47
% 0.27/0.47 thf(tyop_2Epair_2Eprod,type,
% 0.27/0.47 tyop_2Epair_2Eprod: d > d > d ).
% 0.27/0.47
% 0.27/0.47 thf(s,type,
% 0.27/0.47 s: d > u > du ).
% 0.27/0.47
% 0.27/0.47 thf(app_2E2,type,
% 0.27/0.47 app_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(combin_i_2E0,type,
% 0.27/0.47 combin_i_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(combin_k_2E0,type,
% 0.27/0.47 combin_k_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(combin_s_2E0,type,
% 0.27/0.47 combin_s_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_21_2E0,type,
% 0.27/0.47 c_2Ebool_2E_21_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_21_2E1,type,
% 0.27/0.47 c_2Ebool_2E_21_2E1: du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.27/0.47 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.27/0.47 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Emin_2E_3D_2E0,type,
% 0.27/0.47 c_2Emin_2E_3D_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Emin_2E_3D_2E2,type,
% 0.27/0.47 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.27/0.47 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.27/0.47 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_3F_2E0,type,
% 0.27/0.47 c_2Ebool_2E_3F_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_3F_2E1,type,
% 0.27/0.47 c_2Ebool_2E_3F_2E1: du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Epred__set_2EBIJ_2E0,type,
% 0.27/0.47 c_2Epred__set_2EBIJ_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Epred__set_2EBIJ_2E3,type,
% 0.27/0.47 c_2Epred__set_2EBIJ_2E3: du > du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Epred__set_2ECROSS_2E0,type,
% 0.27/0.47 c_2Epred__set_2ECROSS_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Epred__set_2ECROSS_2E2,type,
% 0.27/0.47 c_2Epred__set_2ECROSS_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2EF_2E0,type,
% 0.27/0.47 c_2Ebool_2EF_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2ET_2E0,type,
% 0.27/0.47 c_2Ebool_2ET_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Epred__set_2EUNIV_2E0,type,
% 0.27/0.47 c_2Epred__set_2EUNIV_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.27/0.47 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.27/0.47 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_7E_2E0,type,
% 0.27/0.47 c_2Ebool_2E_7E_2E0: u ).
% 0.27/0.47
% 0.27/0.47 thf(c_2Ebool_2E_7E_2E1,type,
% 0.27/0.47 c_2Ebool_2E_7E_2E1: du > u ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.27/0.47 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.27/0.47 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.27/0.47 mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
% 0.27/0.47 mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 0.27/0.47 mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Ebool_2EF,type,
% 0.27/0.47 mono_2Ec_2Ebool_2EF: $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Ebool_2ET,type,
% 0.27/0.47 mono_2Ec_2Ebool_2ET: $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum,type,
% 0.27/0.47 mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.27/0.47 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.27/0.47 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
% 0.27/0.47 i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 0.27/0.47
% 0.27/0.47 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
% 0.27/0.47 j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.27/0.47 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.27/0.47 ( ! [V2x_2E0: u] :
% 0.27/0.47 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.27/0.47 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.27/0.47 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.27/0.47 ! [A_27a: d,V0x_2E0: u] :
% 0.27/0.47 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.27/0.47 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.27/0.47 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) )
% 0.27/0.47 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Eho_2Es__thm,axiom,
% 0.27/0.47 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) )
% 0.27/0.47 = ( 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 ) ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.27/0.47 ! [V0: $o,V1: $o] :
% 0.27/0.47 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.27/0.47 <=> ( V0
% 0.27/0.47 & V1 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.27/0.47 ! [V0: $o,V1: $o] :
% 0.27/0.47 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.27/0.47 <=> ( V0
% 0.27/0.47 | V1 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Elogic_2E_7E,axiom,
% 0.27/0.47 ! [V0: $o] :
% 0.27/0.47 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.27/0.47 <=> ( (~) @ V0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.27/0.47 ! [V0: $o,V1: $o] :
% 0.27/0.47 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.27/0.47 <=> ( V0
% 0.27/0.47 => V1 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Elogic_2E_3D,axiom,
% 0.27/0.47 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.27/0.47 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.27/0.47 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Equant_2E_21,axiom,
% 0.27/0.47 ! [A_27a: d,V0f_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 <=> ! [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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(reserved_2Equant_2E_3F,axiom,
% 0.27/0.47 ! [A_27a: d,V0f_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 <=> ? [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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
% 0.27/0.47 ! [V0_2E0: u] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 0.27/0.47 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.47 ! [V0: $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: $o > $o] :
% 0.27/0.47 ( ( 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 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0: $o > $o > $o] :
% 0.27/0.47 ( ( 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 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.27/0.47 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.47 ( ( 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 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.27/0.47 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
% 0.27/0.47 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 0.27/0.47 = V0 ) ).
% 0.27/0.47
% 0.27/0.47 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.27/0.47 ! [A_27a: d,X0_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 = ( 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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.27/0.47 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.27/0.47 ( ( ( s @ A_27a @ X0_2E0 )
% 0.27/0.47 = ( s @ A_27a @ X1_2E0 ) )
% 0.27/0.47 <=> ( 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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.27/0.47 ! [A_27a: d,X0_2E0: u] :
% 0.27/0.47 ( ( 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 ) ) ) )
% 0.27/0.47 = ( 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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.27/0.47 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) )
% 0.27/0.47 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27b_20mono_2EA_27a,axiom,
% 0.27/0.47 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.27/0.47 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) )
% 0.27/0.47 = ( 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 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.47 ! [V0: $o > $o,V1: $o] :
% 0.27/0.47 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.27/0.47 = ( 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 ) ) ) ) ) ).
% 0.27/0.47
% 0.27/0.47 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.47 ! [V0: $o > $o > $o,V1: $o] :
% 0.27/0.47 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( 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 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.27/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > $o,V2: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 @ V1 @ V2 ) ) )
% 0.27/0.48 = ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V2 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.27/0.48 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V2: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
% 0.27/0.48 = ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V2 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2ECROSS_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2ECROSS_2E0 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.27/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_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_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.27/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) )
% 0.27/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.48 ! [V0: $o > $o,V1: $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: $o > $o > $o,V1: $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.27/0.48 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 0.27/0.48 ( ( V0 @ V1 )
% 0.27/0.48 = ( V0 @ V1 ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.27/0.48 mono_2Ec_2Ebool_2ET ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.27/0.48 ! [V0t1: $o,V1t2: $o] :
% 0.27/0.48 ( ( V0t1
% 0.27/0.48 => V1t2 )
% 0.27/0.48 => ( ( V1t2
% 0.27/0.48 => V0t1 )
% 0.27/0.48 => ( V0t1 = V1t2 ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EIMP__F,axiom,
% 0.27/0.48 ! [V0t: $o] :
% 0.27/0.48 ( ( V0t
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 => ( (~) @ V0t ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EF__IMP,axiom,
% 0.27/0.48 ! [V0t: $o] :
% 0.27/0.48 ( ( (~) @ V0t )
% 0.27/0.48 => ( V0t
% 0.27/0.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.27/0.48 ! [V0t: $o] :
% 0.27/0.48 ( ( ( mono_2Ec_2Ebool_2ET
% 0.27/0.48 => V0t )
% 0.27/0.48 <=> V0t )
% 0.27/0.48 & ( ( V0t
% 0.27/0.48 => mono_2Ec_2Ebool_2ET )
% 0.27/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.27/0.48 & ( ( mono_2Ec_2Ebool_2EF
% 0.27/0.48 => V0t )
% 0.27/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.27/0.48 & ( ( V0t
% 0.27/0.48 => V0t )
% 0.27/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.27/0.48 & ( ( V0t
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.27/0.48 ( ! [V0t: $o] :
% 0.27/0.48 ( ( (~) @ ( (~) @ V0t ) )
% 0.27/0.48 <=> V0t )
% 0.27/0.48 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 0.27/0.48 <=> mono_2Ec_2Ebool_2EF )
% 0.27/0.48 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 0.27/0.48 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.27/0.48 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.27/0.48 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.27/0.48 = ( s @ A_27a @ V1y_2E0 ) )
% 0.27/0.48 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.27/0.48 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.27/0.48 ! [V0t: $o] :
% 0.27/0.48 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.27/0.48 <=> V0t )
% 0.27/0.48 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.27/0.48 <=> V0t )
% 0.27/0.48 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.27/0.48 <=> ( (~) @ V0t ) )
% 0.27/0.48 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.27/0.48 <=> ( (~) @ V0t ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ENOT__EXISTS__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P_2E0: u] :
% 0.27/0.48 ( ( (~)
% 0.27/0.48 @ ? [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 ) ) ) ) )
% 0.27/0.48 <=> ! [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 ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ELEFT__AND__FORALL__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.27/0.48 ( ( ! [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 ) ) ) )
% 0.27/0.48 & V1Q )
% 0.27/0.48 <=> ! [V3x_2E0: u] :
% 0.27/0.48 ( ( 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 ) ) ) )
% 0.27/0.48 & V1Q ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ERIGHT__AND__FORALL__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.27/0.48 ( ( V0P
% 0.27/0.48 & ! [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 ) ) ) ) )
% 0.27/0.48 <=> ! [V3x_2E0: u] :
% 0.27/0.48 ( V0P
% 0.27/0.48 & ( 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 ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ELEFT__OR__EXISTS__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.27/0.48 ( ( ? [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 ) ) ) )
% 0.27/0.48 | V1Q )
% 0.27/0.48 <=> ? [V3x_2E0: u] :
% 0.27/0.48 ( ( 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 ) ) ) )
% 0.27/0.48 | V1Q ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ERIGHT__OR__EXISTS__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.27/0.48 ( ( V0P
% 0.27/0.48 | ? [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 ) ) ) ) )
% 0.27/0.48 <=> ? [V3x_2E0: u] :
% 0.27/0.48 ( V0P
% 0.27/0.48 | ( 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 ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ELEFT__EXISTS__AND__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 0.27/0.48 ( ? [V2x_2E0: u] :
% 0.27/0.48 ( ( 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 ) ) ) )
% 0.27/0.48 & V1Q )
% 0.27/0.48 <=> ( ? [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 ) ) ) )
% 0.27/0.48 & V1Q ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ERIGHT__EXISTS__AND__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.27/0.48 ( ? [V2x_2E0: u] :
% 0.27/0.48 ( V0P
% 0.27/0.48 & ( 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 ) ) ) ) )
% 0.27/0.48 <=> ( V0P
% 0.27/0.48 & ? [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 ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ELEFT__FORALL__OR__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0Q: $o,V1P_2E0: u] :
% 0.27/0.48 ( ! [V2x_2E0: u] :
% 0.27/0.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.27/0.48 | V0Q )
% 0.27/0.48 <=> ( ! [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.27/0.48 | V0Q ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ERIGHT__FORALL__OR__THM,axiom,
% 0.27/0.48 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.27/0.48 ( ! [V2x_2E0: u] :
% 0.27/0.48 ( V0P
% 0.27/0.48 | ( 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 ) ) ) ) )
% 0.27/0.48 <=> ( V0P
% 0.27/0.48 | ! [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 ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 0.27/0.48 ! [V0A: $o,V1B: $o] :
% 0.27/0.48 ( ( V0A
% 0.27/0.48 | V1B )
% 0.27/0.48 <=> ( V1B
% 0.27/0.48 | V0A ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Ebool_2ESKOLEM__THM,axiom,
% 0.27/0.48 ! [A_27a: d,A_27b: d,V0P_2E0: u] :
% 0.27/0.48 ( ! [V1x_2E0: u] :
% 0.27/0.48 ? [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 ) ) ) )
% 0.27/0.48 <=> ? [V3f_2E0: u] :
% 0.27/0.48 ! [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 ) ) ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Epred__set_2EBIJ__SYM,axiom,
% 0.27/0.48 ! [A_27a: d,A_27b: d,V0s_2E0: u,V1t_2E0: u] :
% 0.27/0.48 ( ? [V2f_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) )
% 0.27/0.48 <=> ? [V3g_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V3g_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.27/0.48 ! [V0t: $o] :
% 0.27/0.48 ( ( (~) @ ( (~) @ V0t ) )
% 0.27/0.48 <=> V0t ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.27/0.48 ! [V0A: $o] :
% 0.27/0.48 ( V0A
% 0.27/0.48 => ( ( (~) @ V0A )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.27/0.48 ! [V0B: $o,V1A: $o] :
% 0.27/0.48 ( ( ( (~)
% 0.27/0.48 @ ( V1A
% 0.27/0.48 | V0B ) )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 <=> ( ( V1A
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 => ( ( (~) @ V0B )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.27/0.48 ! [V0B: $o,V1A: $o] :
% 0.27/0.48 ( ( ( (~)
% 0.27/0.48 @ ( ( (~) @ V1A )
% 0.27/0.48 | V0B ) )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 <=> ( V1A
% 0.27/0.48 => ( ( (~) @ V0B )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.27/0.48 ! [V0A: $o] :
% 0.27/0.48 ( ( ( (~) @ V0A )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 => ( ( V0A
% 0.27/0.48 => mono_2Ec_2Ebool_2EF )
% 0.27/0.48 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2Edc__eq,axiom,
% 0.27/0.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.48 ( ( V2p
% 0.27/0.48 <=> ( V1q = V0r ) )
% 0.27/0.48 <=> ( ( V2p
% 0.27/0.48 | V1q
% 0.27/0.48 | V0r )
% 0.27/0.48 & ( V2p
% 0.27/0.48 | ( (~) @ V0r )
% 0.27/0.48 | ( (~) @ V1q ) )
% 0.27/0.48 & ( V1q
% 0.27/0.48 | ( (~) @ V0r )
% 0.27/0.48 | ( (~) @ V2p ) )
% 0.27/0.48 & ( V0r
% 0.27/0.48 | ( (~) @ V1q )
% 0.27/0.48 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2Edc__conj,axiom,
% 0.27/0.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.48 ( ( V2p
% 0.27/0.48 <=> ( V1q
% 0.27/0.48 & V0r ) )
% 0.27/0.48 <=> ( ( V2p
% 0.27/0.48 | ( (~) @ V1q )
% 0.27/0.48 | ( (~) @ V0r ) )
% 0.27/0.48 & ( V1q
% 0.27/0.48 | ( (~) @ V2p ) )
% 0.27/0.48 & ( V0r
% 0.27/0.48 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2Edc__disj,axiom,
% 0.27/0.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.48 ( ( V2p
% 0.27/0.48 <=> ( V1q
% 0.27/0.48 | V0r ) )
% 0.27/0.48 <=> ( ( V2p
% 0.27/0.48 | ( (~) @ V1q ) )
% 0.27/0.48 & ( V2p
% 0.27/0.48 | ( (~) @ V0r ) )
% 0.27/0.48 & ( V1q
% 0.27/0.48 | V0r
% 0.27/0.48 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2Edc__imp,axiom,
% 0.27/0.48 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.27/0.48 ( ( V2p
% 0.27/0.48 <=> ( V1q
% 0.27/0.48 => V0r ) )
% 0.27/0.48 <=> ( ( V2p
% 0.27/0.48 | V1q )
% 0.27/0.48 & ( V2p
% 0.27/0.48 | ( (~) @ V0r ) )
% 0.27/0.48 & ( ( (~) @ V1q )
% 0.27/0.48 | V0r
% 0.27/0.48 | ( (~) @ V2p ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Esat_2Edc__neg,axiom,
% 0.27/0.48 ! [V0q: $o,V1p: $o] :
% 0.27/0.48 ( ( V1p
% 0.27/0.48 <=> ( (~) @ V0q ) )
% 0.27/0.48 <=> ( ( V1p
% 0.27/0.48 | V0q )
% 0.27/0.48 & ( ( (~) @ V0q )
% 0.27/0.48 | ( (~) @ V1p ) ) ) ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
% 0.27/0.48 ? [V0f: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ V0f @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ).
% 0.27/0.48
% 0.27/0.48 thf(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
% 0.27/0.48 ? [V0f: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0f @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ).
% 0.27/0.48
% 0.27/0.48 %------------------------------------------------------------------------------
% 0.27/0.48 ------------------------
% 2.34/1.48 ---- Embedded in THF ---
% 2.34/1.48 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.34/1.48 %%% Generated on Tue Feb 24 08:21:37 EST 2026
% 2.34/1.48 %%% using '$$dhol' embedding, version 1.3.0.
% 2.34/1.48 %%% Logic specification used:
% 2.34/1.48 %%% thf(spec, logic, $$dhol).
% 2.34/1.48
% 2.34/1.48 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2DTF29865.p
% See solution above
% 2.34/1.49 ------------------------
% 2.61/1.51 ---- Cleaned THF ---
% 2.61/1.51 thf(u,type,
% 2.61/1.51 u: $tType ).
% 2.61/1.51
% 2.61/1.51 thf(d,type,
% 2.61/1.51 d: $tType ).
% 2.61/1.51
% 2.61/1.51 thf(du,type,
% 2.61/1.51 du: $tType ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Etyop_2Enum_2Enum,type,
% 2.61/1.51 mono_2Etyop_2Enum_2Enum: $tType ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.61/1.51 mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType ).
% 2.61/1.51
% 2.61/1.51 thf(tyop_2Emin_2Ebool,type,
% 2.61/1.51 tyop_2Emin_2Ebool: d ).
% 2.61/1.51
% 2.61/1.51 thf(tyop_2Emin_2Efun,type,
% 2.61/1.51 tyop_2Emin_2Efun: d > d > d ).
% 2.61/1.51
% 2.61/1.51 thf(tyop_2Enum_2Enum,type,
% 2.61/1.51 tyop_2Enum_2Enum: d ).
% 2.61/1.51
% 2.61/1.51 thf(tyop_2Epair_2Eprod,type,
% 2.61/1.51 tyop_2Epair_2Eprod: d > d > d ).
% 2.61/1.51
% 2.61/1.51 thf(s,type,
% 2.61/1.51 s: d > u > du ).
% 2.61/1.51
% 2.61/1.51 thf(app_2E2,type,
% 2.61/1.51 app_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(combin_i_2E0,type,
% 2.61/1.51 combin_i_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(combin_k_2E0,type,
% 2.61/1.51 combin_k_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(combin_s_2E0,type,
% 2.61/1.51 combin_s_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_21_2E0,type,
% 2.61/1.51 c_2Ebool_2E_21_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_21_2E1,type,
% 2.61/1.51 c_2Ebool_2E_21_2E1: du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.61/1.51 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.61/1.51 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Emin_2E_3D_2E0,type,
% 2.61/1.51 c_2Emin_2E_3D_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Emin_2E_3D_2E2,type,
% 2.61/1.51 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.61/1.51 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.61/1.51 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_3F_2E0,type,
% 2.61/1.51 c_2Ebool_2E_3F_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_3F_2E1,type,
% 2.61/1.51 c_2Ebool_2E_3F_2E1: du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Epred__set_2EBIJ_2E0,type,
% 2.61/1.51 c_2Epred__set_2EBIJ_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Epred__set_2EBIJ_2E3,type,
% 2.61/1.51 c_2Epred__set_2EBIJ_2E3: du > du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Epred__set_2ECROSS_2E0,type,
% 2.61/1.51 c_2Epred__set_2ECROSS_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Epred__set_2ECROSS_2E2,type,
% 2.61/1.51 c_2Epred__set_2ECROSS_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2EF_2E0,type,
% 2.61/1.51 c_2Ebool_2EF_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2ET_2E0,type,
% 2.61/1.51 c_2Ebool_2ET_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Epred__set_2EUNIV_2E0,type,
% 2.61/1.51 c_2Epred__set_2EUNIV_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.61/1.51 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.61/1.51 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_7E_2E0,type,
% 2.61/1.51 c_2Ebool_2E_7E_2E0: u ).
% 2.61/1.51
% 2.61/1.51 thf(c_2Ebool_2E_7E_2E1,type,
% 2.61/1.51 c_2Ebool_2E_7E_2E1: du > u ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.61/1.51 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.61/1.51 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.61/1.51 mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,type,
% 2.61/1.51 mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 2.61/1.51 mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Ebool_2EF,type,
% 2.61/1.51 mono_2Ec_2Ebool_2EF: $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Ebool_2ET,type,
% 2.61/1.51 mono_2Ec_2Ebool_2ET: $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum,type,
% 2.61/1.51 mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.61/1.51 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.61/1.51 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ( ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
% 2.61/1.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ).
% 2.61/1.51
% 2.61/1.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,type,
% 2.61/1.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.61/1.51 ( ! [V2x_2E0: u] :
% 2.61/1.51 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.61/1.51 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.61/1.51 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.61/1.51 ! [A_27a: d,V0x_2E0: u] :
% 2.61/1.51 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.61/1.51 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) )
% 2.61/1.51 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Eho_2Es__thm,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) )
% 2.61/1.51 = ( 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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.61/1.51 ! [V0: $o,V1: $o] :
% 2.61/1.51 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.61/1.51 <=> ( V0
% 2.61/1.51 & V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.61/1.51 ! [V0: $o,V1: $o] :
% 2.61/1.51 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.61/1.51 <=> ( V0
% 2.61/1.51 | V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Elogic_2E_7E,axiom,
% 2.61/1.51 ! [V0: $o] :
% 2.61/1.51 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.61/1.51 <=> ( (~) @ V0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.61/1.51 ! [V0: $o,V1: $o] :
% 2.61/1.51 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.61/1.51 <=> ( V0
% 2.61/1.51 => V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Elogic_2E_3D,axiom,
% 2.61/1.51 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.61/1.51 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.61/1.51 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Equant_2E_21,axiom,
% 2.61/1.51 ! [A_27a: d,V0f_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 <=> ! [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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(reserved_2Equant_2E_3F,axiom,
% 2.61/1.51 ! [A_27a: d,V0f_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 <=> ? [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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
% 2.61/1.51 ! [V0_2E0: u] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: $o > $o] :
% 2.61/1.51 ( ( 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 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: $o > $o > $o] :
% 2.61/1.51 ( ( 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 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( 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 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 2.61/1.51 = V0 ) ).
% 2.61/1.51
% 2.61/1.51 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.61/1.51 ! [A_27a: d,X0_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 = ( 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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.61/1.51 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.61/1.51 ( ( ( s @ A_27a @ X0_2E0 )
% 2.61/1.51 = ( s @ A_27a @ X1_2E0 ) )
% 2.61/1.51 <=> ( 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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.61/1.51 ! [A_27a: d,X0_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 = ( 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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) )
% 2.61/1.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(arityeq3_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2EA_27b_20mono_2EA_27a,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) )
% 2.61/1.51 = ( 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 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X2_2E0 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: $o > $o,V1: $o] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( 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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: $o > $o > $o,V1: $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( 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 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,V1: mono_2Etyop_2Enum_2Enum > $o,V2: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 @ V1 @ V2 ) ) )
% 2.61/1.51 = ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V2 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E0_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2EBIJ_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V2: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 @ V2 ) ) )
% 2.61/1.51 = ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V2 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2ECROSS_2E0_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) ) ) @ c_2Epred__set_2ECROSS_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.61/1.51 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ V0 @ V1 ) ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2ECROSS_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_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.61/1.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) )
% 2.61/1.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ c_2Epred__set_2EUNIV_2E0 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: $o > $o,V1: $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: $o > $o > $o,V1: $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,V1: mono_2Etyop_2Enum_2Enum > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 ) > ( mono_2Etyop_2Enum_2Enum > $o ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.61/1.51 ! [V0: ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum ) > ( mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o ) > ( mono_2Etyop_2Enum_2Enum > $o ) > $o,V1: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] :
% 2.61/1.51 ( ( V0 @ V1 )
% 2.61/1.51 = ( V0 @ V1 ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ETRUTH,axiom,
% 2.61/1.51 mono_2Ec_2Ebool_2ET ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 2.61/1.51 ! [V0t1: $o,V1t2: $o] :
% 2.61/1.51 ( ( V0t1
% 2.61/1.51 => V1t2 )
% 2.61/1.51 => ( ( V1t2
% 2.61/1.51 => V0t1 )
% 2.61/1.51 => ( V0t1 = V1t2 ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EIMP__F,axiom,
% 2.61/1.51 ! [V0t: $o] :
% 2.61/1.51 ( ( V0t
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 => ( (~) @ V0t ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EF__IMP,axiom,
% 2.61/1.51 ! [V0t: $o] :
% 2.61/1.51 ( ( (~) @ V0t )
% 2.61/1.51 => ( V0t
% 2.61/1.51 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 2.61/1.51 ! [V0t: $o] :
% 2.61/1.51 ( ( ( mono_2Ec_2Ebool_2ET
% 2.61/1.51 => V0t )
% 2.61/1.51 <=> V0t )
% 2.61/1.51 & ( ( V0t
% 2.61/1.51 => mono_2Ec_2Ebool_2ET )
% 2.61/1.51 <=> mono_2Ec_2Ebool_2ET )
% 2.61/1.51 & ( ( mono_2Ec_2Ebool_2EF
% 2.61/1.51 => V0t )
% 2.61/1.51 <=> mono_2Ec_2Ebool_2ET )
% 2.61/1.51 & ( ( V0t
% 2.61/1.51 => V0t )
% 2.61/1.51 <=> mono_2Ec_2Ebool_2ET )
% 2.61/1.51 & ( ( V0t
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 <=> ( (~) @ V0t ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 2.61/1.51 ( ! [V0t: $o] :
% 2.61/1.51 ( ( (~) @ ( (~) @ V0t ) )
% 2.61/1.51 <=> V0t )
% 2.61/1.51 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 2.61/1.51 <=> mono_2Ec_2Ebool_2EF )
% 2.61/1.51 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 2.61/1.51 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 2.61/1.51 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 2.61/1.51 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.61/1.51 = ( s @ A_27a @ V1y_2E0 ) )
% 2.61/1.51 <=> ( ( s @ A_27a @ V1y_2E0 )
% 2.61/1.51 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 2.61/1.51 ! [V0t: $o] :
% 2.61/1.51 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 2.61/1.51 <=> V0t )
% 2.61/1.51 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.61/1.51 <=> V0t )
% 2.61/1.51 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 2.61/1.51 <=> ( (~) @ V0t ) )
% 2.61/1.51 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 2.61/1.51 <=> ( (~) @ V0t ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ENOT__EXISTS__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P_2E0: u] :
% 2.61/1.51 ( ( (~)
% 2.61/1.51 @ ? [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 ) ) ) ) )
% 2.61/1.51 <=> ! [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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ELEFT__AND__FORALL__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.61/1.51 ( ( ! [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 ) ) ) )
% 2.61/1.51 & V1Q )
% 2.61/1.51 <=> ! [V3x_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 & V1Q ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ERIGHT__AND__FORALL__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.61/1.51 ( ( V0P
% 2.61/1.51 & ! [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 ) ) ) ) )
% 2.61/1.51 <=> ! [V3x_2E0: u] :
% 2.61/1.51 ( V0P
% 2.61/1.51 & ( 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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ELEFT__OR__EXISTS__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.61/1.51 ( ( ? [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 ) ) ) )
% 2.61/1.51 | V1Q )
% 2.61/1.51 <=> ? [V3x_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 | V1Q ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ERIGHT__OR__EXISTS__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.61/1.51 ( ( V0P
% 2.61/1.51 | ? [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 ) ) ) ) )
% 2.61/1.51 <=> ? [V3x_2E0: u] :
% 2.61/1.51 ( V0P
% 2.61/1.51 | ( 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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ELEFT__EXISTS__AND__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P_2E0: u,V1Q: $o] :
% 2.61/1.51 ( ? [V2x_2E0: u] :
% 2.61/1.51 ( ( 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 ) ) ) )
% 2.61/1.51 & V1Q )
% 2.61/1.51 <=> ( ? [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 ) ) ) )
% 2.61/1.51 & V1Q ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ERIGHT__EXISTS__AND__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.61/1.51 ( ? [V2x_2E0: u] :
% 2.61/1.51 ( V0P
% 2.61/1.51 & ( 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 ) ) ) ) )
% 2.61/1.51 <=> ( V0P
% 2.61/1.51 & ? [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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ELEFT__FORALL__OR__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0Q: $o,V1P_2E0: u] :
% 2.61/1.51 ( ! [V2x_2E0: u] :
% 2.61/1.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.61/1.51 | V0Q )
% 2.61/1.51 <=> ( ! [V3x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 2.61/1.51 | V0Q ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ERIGHT__FORALL__OR__THM,axiom,
% 2.61/1.51 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 2.61/1.51 ( ! [V2x_2E0: u] :
% 2.61/1.51 ( V0P
% 2.61/1.51 | ( 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 ) ) ) ) )
% 2.61/1.51 <=> ( V0P
% 2.61/1.51 | ! [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 ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2EDISJ__SYM,axiom,
% 2.61/1.51 ! [V0A: $o,V1B: $o] :
% 2.61/1.51 ( ( V0A
% 2.61/1.51 | V1B )
% 2.61/1.51 <=> ( V1B
% 2.61/1.51 | V0A ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Ebool_2ESKOLEM__THM,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,V0P_2E0: u] :
% 2.61/1.51 ( ! [V1x_2E0: u] :
% 2.61/1.51 ? [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 ) ) ) )
% 2.61/1.51 <=> ? [V3f_2E0: u] :
% 2.61/1.51 ! [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 ) ) ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Epred__set_2EBIJ__SYM,axiom,
% 2.61/1.51 ! [A_27a: d,A_27b: d,V0s_2E0: u,V1t_2E0: u] :
% 2.61/1.51 ( ? [V2f_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V2f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) ) ) )
% 2.61/1.51 <=> ? [V3g_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Epred__set_2EBIJ_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V3g_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1t_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0s_2E0 ) ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2ENOT__NOT,axiom,
% 2.61/1.51 ! [V0t: $o] :
% 2.61/1.51 ( ( (~) @ ( (~) @ V0t ) )
% 2.61/1.51 <=> V0t ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 2.61/1.51 ! [V0A: $o] :
% 2.61/1.51 ( V0A
% 2.61/1.51 => ( ( (~) @ V0A )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 2.61/1.51 ! [V0B: $o,V1A: $o] :
% 2.61/1.51 ( ( ( (~)
% 2.61/1.51 @ ( V1A
% 2.61/1.51 | V0B ) )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 <=> ( ( V1A
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 => ( ( (~) @ V0B )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 2.61/1.51 ! [V0B: $o,V1A: $o] :
% 2.61/1.51 ( ( ( (~)
% 2.61/1.51 @ ( ( (~) @ V1A )
% 2.61/1.51 | V0B ) )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 <=> ( V1A
% 2.61/1.51 => ( ( (~) @ V0B )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2EAND__INV2,axiom,
% 2.61/1.51 ! [V0A: $o] :
% 2.61/1.51 ( ( ( (~) @ V0A )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 => ( ( V0A
% 2.61/1.51 => mono_2Ec_2Ebool_2EF )
% 2.61/1.51 => mono_2Ec_2Ebool_2EF ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2Edc__eq,axiom,
% 2.61/1.51 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.61/1.51 ( ( V2p
% 2.61/1.51 <=> ( V1q = V0r ) )
% 2.61/1.51 <=> ( ( V2p
% 2.61/1.51 | V1q
% 2.61/1.51 | V0r )
% 2.61/1.51 & ( V2p
% 2.61/1.51 | ( (~) @ V0r )
% 2.61/1.51 | ( (~) @ V1q ) )
% 2.61/1.51 & ( V1q
% 2.61/1.51 | ( (~) @ V0r )
% 2.61/1.51 | ( (~) @ V2p ) )
% 2.61/1.51 & ( V0r
% 2.61/1.51 | ( (~) @ V1q )
% 2.61/1.51 | ( (~) @ V2p ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2Edc__conj,axiom,
% 2.61/1.51 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.61/1.51 ( ( V2p
% 2.61/1.51 <=> ( V1q
% 2.61/1.51 & V0r ) )
% 2.61/1.51 <=> ( ( V2p
% 2.61/1.51 | ( (~) @ V1q )
% 2.61/1.51 | ( (~) @ V0r ) )
% 2.61/1.51 & ( V1q
% 2.61/1.51 | ( (~) @ V2p ) )
% 2.61/1.51 & ( V0r
% 2.61/1.51 | ( (~) @ V2p ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2Edc__disj,axiom,
% 2.61/1.51 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.61/1.51 ( ( V2p
% 2.61/1.51 <=> ( V1q
% 2.61/1.51 | V0r ) )
% 2.61/1.51 <=> ( ( V2p
% 2.61/1.51 | ( (~) @ V1q ) )
% 2.61/1.51 & ( V2p
% 2.61/1.51 | ( (~) @ V0r ) )
% 2.61/1.51 & ( V1q
% 2.61/1.51 | V0r
% 2.61/1.51 | ( (~) @ V2p ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2Edc__imp,axiom,
% 2.61/1.51 ! [V0r: $o,V1q: $o,V2p: $o] :
% 2.61/1.51 ( ( V2p
% 2.61/1.51 <=> ( V1q
% 2.61/1.51 => V0r ) )
% 2.61/1.51 <=> ( ( V2p
% 2.61/1.51 | V1q )
% 2.61/1.51 & ( V2p
% 2.61/1.51 | ( (~) @ V0r ) )
% 2.61/1.51 & ( ( (~) @ V1q )
% 2.61/1.51 | V0r
% 2.61/1.51 | ( (~) @ V2p ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Esat_2Edc__neg,axiom,
% 2.61/1.51 ! [V0q: $o,V1p: $o] :
% 2.61/1.51 ( ( V1p
% 2.61/1.51 <=> ( (~) @ V0q ) )
% 2.61/1.51 <=> ( ( V1p
% 2.61/1.51 | V0q )
% 2.61/1.51 & ( ( (~) @ V0q )
% 2.61/1.51 | ( (~) @ V1p ) ) ) ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Eutil__prob_2ENUM__2D__BIJ,axiom,
% 2.61/1.51 ? [V0f: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ V0f @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ).
% 2.61/1.51
% 2.61/1.51 thf(thm_2Eutil__prob_2ENUM__2D__BIJ__INV,conjecture,
% 2.61/1.51 ? [V0f: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ( mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0f @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum ) ) ).
% 2.61/1.51 ------------------------
% 2.61/1.54 % (30208)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_29865 for (2999ds/27Mi)
% 2.61/1.54 % (30207)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_29865 for (2999ds/4Mi)
% 2.61/1.54 % (30211)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_29865 for (2999ds/275Mi)
% 2.61/1.55 % (30207)Instruction limit reached!
% 2.61/1.55 % (30207)------------------------------
% 2.61/1.55 % (30207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.55 % (30207)Termination reason: Unknown
% 2.61/1.55 % (30207)Termination phase: shuffling
% 2.61/1.55
% 2.61/1.55 % (30207)Memory used [KB]: 1279
% 2.61/1.55 % (30207)Time elapsed: 0.003 s
% 2.61/1.55 % (30207)Instructions burned: 7 (million)
% 2.61/1.55 % (30207)------------------------------
% 2.61/1.55 % (30207)------------------------------
% 2.61/1.55 % (30210)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_29865 for (2999ds/2Mi)
% 2.61/1.55 % (30210)Instruction limit reached!
% 2.61/1.55 % (30210)------------------------------
% 2.61/1.55 % (30210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.55 % (30210)Termination reason: Unknown
% 2.61/1.55 % (30210)Termination phase: shuffling
% 2.61/1.55
% 2.61/1.55 % (30210)Memory used [KB]: 1151
% 2.61/1.55 % (30210)Time elapsed: 0.003 s
% 2.61/1.55 % (30210)Instructions burned: 3 (million)
% 2.61/1.55 % (30210)------------------------------
% 2.61/1.55 % (30210)------------------------------
% 2.61/1.55 % (30206)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/183Mi)
% 2.61/1.55 % (30209)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/2Mi)
% 2.61/1.55 % (30212)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/18Mi)
% 2.61/1.55 % (30208)Instruction limit reached!
% 2.61/1.55 % (30208)------------------------------
% 2.61/1.55 % (30208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.55 % (30208)Termination reason: Unknown
% 2.61/1.55 % (30208)Termination phase: Property scanning
% 2.61/1.55
% 2.61/1.55 % (30208)Memory used [KB]: 1535
% 2.61/1.55 % (30208)Time elapsed: 0.010 s
% 2.61/1.55 % (30208)Instructions burned: 31 (million)
% 2.61/1.55 % (30208)------------------------------
% 2.61/1.55 % (30208)------------------------------
% 2.61/1.55 % (30209)Instruction limit reached!
% 2.61/1.55 % (30209)------------------------------
% 2.61/1.55 % (30209)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.55 % (30209)Termination reason: Unknown
% 2.61/1.55 % (30209)Termination phase: shuffling
% 2.61/1.55
% 2.61/1.55 % (30209)Memory used [KB]: 1151
% 2.61/1.55 % (30209)Time elapsed: 0.004 s
% 2.61/1.55 % (30209)Instructions burned: 3 (million)
% 2.61/1.55 % (30209)------------------------------
% 2.61/1.55 % (30209)------------------------------
% 2.61/1.56 % (30217)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/3Mi)
% 2.61/1.56 % (30217)Instruction limit reached!
% 2.61/1.56 % (30217)------------------------------
% 2.61/1.56 % (30217)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.56 % (30217)Termination reason: Unknown
% 2.61/1.56 % (30217)Termination phase: shuffling
% 2.61/1.56
% 2.61/1.56 % (30217)Memory used [KB]: 1151
% 2.61/1.56 % (30217)Time elapsed: 0.003 s
% 2.61/1.56 % (30217)Instructions burned: 4 (million)
% 2.61/1.56 % (30217)------------------------------
% 2.61/1.56 % (30217)------------------------------
% 2.61/1.56 % (30212)Instruction limit reached!
% 2.61/1.56 % (30212)------------------------------
% 2.61/1.56 % (30212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.56 % (30212)Termination reason: Unknown
% 2.61/1.56 % (30212)Termination phase: Preprocessing 1
% 2.61/1.56
% 2.61/1.56 % (30212)Memory used [KB]: 1279
% 2.61/1.56 % (30212)Time elapsed: 0.012 s
% 2.61/1.56 % (30212)Instructions burned: 19 (million)
% 2.61/1.56 % (30212)------------------------------
% 2.61/1.56 % (30212)------------------------------
% 2.61/1.56 % (30220)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_29865 for (2999ds/15Mi)
% 2.61/1.57 % (30219)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_29865 for (2999ds/37Mi)
% 2.61/1.57 % (30220)Instruction limit reached!
% 2.61/1.57 % (30220)------------------------------
% 2.61/1.57 % (30220)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.57 % (30220)Termination reason: Unknown
% 2.61/1.57 % (30220)Termination phase: Preprocessing 1
% 2.61/1.57
% 2.61/1.57 % (30220)Memory used [KB]: 1279
% 2.61/1.57 % (30220)Time elapsed: 0.006 s
% 2.61/1.57 % (30220)Instructions burned: 17 (million)
% 2.61/1.57 % (30220)------------------------------
% 2.61/1.57 % (30220)------------------------------
% 2.61/1.57 % (30222)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_29865 for (2999ds/1041Mi)
% 2.61/1.57 % (30221)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_29865 for (2999ds/3Mi)
% 2.61/1.57 % (30221)Instruction limit reached!
% 2.61/1.57 % (30221)------------------------------
% 2.61/1.57 % (30221)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.57 % (30221)Termination reason: Unknown
% 2.61/1.57 % (30221)Termination phase: shuffling
% 2.61/1.57
% 2.61/1.57 % (30221)Memory used [KB]: 1151
% 2.61/1.57 % (30221)Time elapsed: 0.004 s
% 2.61/1.57 % (30221)Instructions burned: 4 (million)
% 2.61/1.57 % (30221)------------------------------
% 2.61/1.57 % (30221)------------------------------
% 2.61/1.58 % (30225)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/16Mi)
% 2.61/1.58 % (30219)Instruction limit reached!
% 2.61/1.58 % (30219)------------------------------
% 2.61/1.58 % (30219)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.58 % (30219)Termination reason: Unknown
% 2.61/1.58 % (30219)Termination phase: Property scanning
% 2.61/1.58
% 2.61/1.58 % (30219)Memory used [KB]: 1535
% 2.61/1.58 % (30219)Time elapsed: 0.014 s
% 2.61/1.58 % (30219)Instructions burned: 40 (million)
% 2.61/1.58 % (30219)------------------------------
% 2.61/1.58 % (30219)------------------------------
% 2.61/1.58 % (30223)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/7Mi)
% 2.61/1.58 % (30225)Instruction limit reached!
% 2.61/1.58 % (30225)------------------------------
% 2.61/1.58 % (30225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.58 % (30225)Termination reason: Unknown
% 2.61/1.58 % (30225)Termination phase: Preprocessing 1
% 2.61/1.58
% 2.61/1.58 % (30225)Memory used [KB]: 1279
% 2.61/1.58 % (30225)Time elapsed: 0.006 s
% 2.61/1.58 % (30225)Instructions burned: 18 (million)
% 2.61/1.58 % (30225)------------------------------
% 2.61/1.58 % (30225)------------------------------
% 2.61/1.58 % (30223)Instruction limit reached!
% 2.61/1.58 % (30223)------------------------------
% 2.61/1.58 % (30223)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.58 % (30223)Termination reason: Unknown
% 2.61/1.58 % (30223)Termination phase: shuffling
% 2.61/1.58
% 2.61/1.58 % (30223)Memory used [KB]: 1279
% 2.61/1.58 % (30223)Time elapsed: 0.006 s
% 2.61/1.58 % (30223)Instructions burned: 7 (million)
% 2.61/1.58 % (30223)------------------------------
% 2.61/1.58 % (30223)------------------------------
% 2.61/1.59 % (30231)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_29865 for (2999ds/3Mi)
% 2.61/1.59 % (30231)Instruction limit reached!
% 2.61/1.59 % (30231)------------------------------
% 2.61/1.59 % (30231)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.59 % (30231)Termination reason: Unknown
% 2.61/1.59 % (30231)Termination phase: shuffling
% 2.61/1.59
% 2.61/1.59 % (30231)Memory used [KB]: 1151
% 2.61/1.59 % (30231)Time elapsed: 0.002 s
% 2.61/1.59 % (30231)Instructions burned: 4 (million)
% 2.61/1.59 % (30231)------------------------------
% 2.61/1.59 % (30231)------------------------------
% 2.61/1.59 % (30232)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/7Mi)
% 2.61/1.59 % (30227)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_29865 for (2999ds/3Mi)
% 2.61/1.59 % (30232)Instruction limit reached!
% 2.61/1.59 % (30232)------------------------------
% 2.61/1.59 % (30232)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.59 % (30232)Termination reason: Unknown
% 2.61/1.59 % (30232)Termination phase: shuffling
% 2.61/1.59
% 2.61/1.59 % (30232)Memory used [KB]: 1151
% 2.61/1.59 % (30232)Time elapsed: 0.003 s
% 2.61/1.59 % (30232)Instructions burned: 7 (million)
% 2.61/1.59 % (30232)------------------------------
% 2.61/1.59 % (30232)------------------------------
% 2.61/1.59 % (30227)Instruction limit reached!
% 2.61/1.59 % (30227)------------------------------
% 2.61/1.59 % (30227)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.61/1.59 % (30227)Termination reason: Unknown
% 2.61/1.59 % (30227)Termination phase: shuffling
% 2.61/1.59
% 2.61/1.59 % (30227)Memory used [KB]: 1151
% 2.61/1.59 % (30227)Time elapsed: 0.004 s
% 2.61/1.59 % (30227)Instructions burned: 4 (million)
% 2.61/1.59 % (30227)------------------------------
% 2.61/1.59 % (30227)------------------------------
% 2.64/1.60 % (30236)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/4Mi)
% 2.64/1.60 % (30236)Instruction limit reached!
% 2.64/1.60 % (30236)------------------------------
% 2.64/1.60 % (30236)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.60 % (30236)Termination reason: Unknown
% 2.64/1.60 % (30236)Termination phase: shuffling
% 2.64/1.60
% 2.64/1.60 % (30236)Memory used [KB]: 1151
% 2.64/1.60 % (30236)Time elapsed: 0.003 s
% 2.64/1.60 % (30236)Instructions burned: 6 (million)
% 2.64/1.60 % (30236)------------------------------
% 2.64/1.60 % (30236)------------------------------
% 2.64/1.60 % (30233)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/3Mi)
% 2.64/1.60 % (30237)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/18Mi)
% 2.64/1.60 % (30233)Instruction limit reached!
% 2.64/1.60 % (30233)------------------------------
% 2.64/1.60 % (30233)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.60 % (30233)Termination reason: Unknown
% 2.64/1.60 % (30233)Termination phase: shuffling
% 2.64/1.60
% 2.64/1.60 % (30233)Memory used [KB]: 1151
% 2.64/1.60 % (30233)Time elapsed: 0.003 s
% 2.64/1.60 % (30233)Instructions burned: 3 (million)
% 2.64/1.60 % (30233)------------------------------
% 2.64/1.60 % (30233)------------------------------
% 2.64/1.61 % (30237)Instruction limit reached!
% 2.64/1.61 % (30237)------------------------------
% 2.64/1.61 % (30237)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.61 % (30237)Termination reason: Unknown
% 2.64/1.61 % (30237)Termination phase: Preprocessing 3
% 2.64/1.61
% 2.64/1.61 % (30237)Memory used [KB]: 1407
% 2.64/1.61 % (30237)Time elapsed: 0.007 s
% 2.64/1.61 % (30237)Instructions burned: 21 (million)
% 2.64/1.61 % (30237)------------------------------
% 2.64/1.61 % (30237)------------------------------
% 2.64/1.61 % (30238)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/710Mi)
% 2.64/1.61 % (30242)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/6Mi)
% 2.64/1.61 % (30242)Instruction limit reached!
% 2.64/1.61 % (30242)------------------------------
% 2.64/1.61 % (30242)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.61 % (30242)Termination reason: Unknown
% 2.64/1.61 % (30242)Termination phase: shuffling
% 2.64/1.61
% 2.64/1.61 % (30242)Memory used [KB]: 1279
% 2.64/1.61 % (30242)Time elapsed: 0.003 s
% 2.64/1.61 % (30242)Instructions burned: 6 (million)
% 2.64/1.61 % (30242)------------------------------
% 2.64/1.61 % (30242)------------------------------
% 2.64/1.62 % (30244)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_29865 for (2999ds/21Mi)
% 2.64/1.62 % (30243)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_29865 for (2999ds/902Mi)
% 2.64/1.62 % (30247)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/5Mi)
% 2.64/1.62 % (30247)Instruction limit reached!
% 2.64/1.62 % (30247)------------------------------
% 2.64/1.62 % (30247)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.62 % (30238)Refutation not found, incomplete strategy
% 2.64/1.62 % (30238)------------------------------
% 2.64/1.62 % (30238)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.62 % (30247)Termination reason: Unknown
% 2.64/1.62 % (30238)Termination reason: Refutation not found, incomplete strategy
% 2.64/1.62
% 2.64/1.62
% 2.64/1.62 % (30247)Termination phase: shuffling
% 2.64/1.62
% 2.64/1.62 % (30238)Memory used [KB]: 6012
% 2.64/1.62 % (30247)Memory used [KB]: 1279
% 2.64/1.62 % (30238)Time elapsed: 0.015 s
% 2.64/1.62 % (30247)Time elapsed: 0.003 s
% 2.64/1.62 % (30238)Instructions burned: 38 (million)
% 2.64/1.62 % (30247)Instructions burned: 8 (million)
% 2.64/1.62 % (30238)------------------------------
% 2.64/1.62 % (30238)------------------------------
% 2.64/1.62 % (30247)------------------------------
% 2.64/1.62 % (30247)------------------------------
% 2.64/1.62 % (30244)Instruction limit reached!
% 2.64/1.62 % (30244)------------------------------
% 2.64/1.62 % (30244)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.62 % (30244)Termination reason: Unknown
% 2.64/1.62 % (30244)Termination phase: Property scanning
% 2.64/1.62
% 2.64/1.62 % (30244)Memory used [KB]: 1279
% 2.64/1.62 % (30244)Time elapsed: 0.008 s
% 2.64/1.62 % (30244)Instructions burned: 24 (million)
% 2.64/1.62 % (30244)------------------------------
% 2.64/1.62 % (30244)------------------------------
% 2.64/1.63 % (30211)Instruction limit reached!
% 2.64/1.63 % (30211)------------------------------
% 2.64/1.63 % (30211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.63 % (30211)Termination reason: Unknown
% 2.64/1.63 % (30211)Termination phase: Saturation
% 2.64/1.63
% 2.64/1.63 % (30211)Memory used [KB]: 6268
% 2.64/1.63 % (30211)Time elapsed: 0.088 s
% 2.64/1.63 % (30211)Instructions burned: 276 (million)
% 2.64/1.63 % (30211)------------------------------
% 2.64/1.63 % (30211)------------------------------
% 2.64/1.63 % (30251)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_29865 for (2999ds/6Mi)
% 2.64/1.63 % (30253)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_29865 for (2999ds/779Mi)
% 2.64/1.63 % (30252)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_29865 for (2999ds/377Mi)
% 2.64/1.63 % (30251)Instruction limit reached!
% 2.64/1.63 % (30251)------------------------------
% 2.64/1.63 % (30251)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.63 % (30251)Termination reason: Unknown
% 2.64/1.63 % (30251)Termination phase: shuffling
% 2.64/1.63
% 2.64/1.63 % (30251)Memory used [KB]: 1279
% 2.64/1.63 % (30251)Time elapsed: 0.003 s
% 2.64/1.63 % (30251)Instructions burned: 8 (million)
% 2.64/1.63 % (30251)------------------------------
% 2.64/1.63 % (30251)------------------------------
% 2.64/1.64 % (30255)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_29865 for (2998ds/19Mi)
% 2.64/1.64 % (30257)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/879Mi)
% 2.64/1.65 % (30255)Instruction limit reached!
% 2.64/1.65 % (30255)------------------------------
% 2.64/1.65 % (30255)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.65 % (30255)Termination reason: Unknown
% 2.64/1.65 % (30255)Termination phase: Property scanning
% 2.64/1.65
% 2.64/1.65 % (30255)Memory used [KB]: 1535
% 2.64/1.65 % (30255)Time elapsed: 0.008 s
% 2.64/1.65 % (30255)Instructions burned: 22 (million)
% 2.64/1.65 % (30255)------------------------------
% 2.64/1.65 % (30255)------------------------------
% 2.64/1.65 % (30206)Instruction limit reached!
% 2.64/1.65 % (30206)------------------------------
% 2.64/1.65 % (30206)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.65 % (30206)Termination reason: Unknown
% 2.64/1.65 % (30206)Termination phase: Saturation
% 2.64/1.65
% 2.64/1.65 % (30206)Memory used [KB]: 6908
% 2.64/1.65 % (30206)Time elapsed: 0.105 s
% 2.64/1.65 % (30206)Instructions burned: 183 (million)
% 2.64/1.65 % (30206)------------------------------
% 2.64/1.65 % (30206)------------------------------
% 2.64/1.66 % (30263)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/17Mi)
% 2.64/1.66 % (30263)Instruction limit reached!
% 2.64/1.66 % (30263)------------------------------
% 2.64/1.66 % (30263)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.66 % (30263)Termination reason: Unknown
% 2.64/1.66 % (30263)Termination phase: Preprocessing 1
% 2.64/1.66
% 2.64/1.66 % (30263)Memory used [KB]: 1279
% 2.64/1.66 % (30263)Time elapsed: 0.006 s
% 2.64/1.66 % (30263)Instructions burned: 18 (million)
% 2.64/1.66 % (30263)------------------------------
% 2.64/1.66 % (30263)------------------------------
% 2.64/1.66 % (30266)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/3Mi)
% 2.64/1.67 % (30266)Instruction limit reached!
% 2.64/1.67 % (30266)------------------------------
% 2.64/1.67 % (30266)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.67 % (30266)Termination reason: Unknown
% 2.64/1.67 % (30266)Termination phase: shuffling
% 2.64/1.67
% 2.64/1.67 % (30266)Memory used [KB]: 1151
% 2.64/1.67 % (30266)Time elapsed: 0.003 s
% 2.64/1.67 % (30266)Instructions burned: 4 (million)
% 2.64/1.67 % (30266)------------------------------
% 2.64/1.67 % (30266)------------------------------
% 2.64/1.67 % (30270)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/30Mi)
% 2.64/1.68 % (30274)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/127Mi)
% 2.64/1.68 % (30270)Instruction limit reached!
% 2.64/1.68 % (30270)------------------------------
% 2.64/1.68 % (30270)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.68 % (30270)Termination reason: Unknown
% 2.64/1.68 % (30270)Termination phase: Preprocessing 1
% 2.64/1.68
% 2.64/1.68 % (30270)Memory used [KB]: 1279
% 2.64/1.68 % (30270)Time elapsed: 0.010 s
% 2.64/1.68 % (30270)Instructions burned: 32 (million)
% 2.64/1.68 % (30270)------------------------------
% 2.64/1.68 % (30270)------------------------------
% 2.64/1.69 % (30275)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_29865 for (2998ds/100Mi)
% 2.64/1.72 % (30274)Instruction limit reached!
% 2.64/1.72 % (30274)------------------------------
% 2.64/1.72 % (30274)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.72 % (30274)Termination reason: Unknown
% 2.64/1.72 % (30274)Termination phase: Saturation
% 2.64/1.72
% 2.64/1.72 % (30274)Memory used [KB]: 6524
% 2.64/1.72 % (30274)Time elapsed: 0.042 s
% 2.64/1.72 % (30274)Instructions burned: 129 (million)
% 2.64/1.72 % (30274)------------------------------
% 2.64/1.72 % (30274)------------------------------
% 2.64/1.72 % (30275)Instruction limit reached!
% 2.64/1.72 % (30275)------------------------------
% 2.64/1.72 % (30275)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.72 % (30275)Termination reason: Unknown
% 2.64/1.72 % (30275)Termination phase: Saturation
% 2.64/1.72
% 2.64/1.72 % (30275)Memory used [KB]: 6396
% 2.64/1.72 % (30275)Time elapsed: 0.029 s
% 2.64/1.72 % (30275)Instructions burned: 103 (million)
% 2.64/1.72 % (30275)------------------------------
% 2.64/1.72 % (30275)------------------------------
% 2.64/1.73 % (30287)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_29865 for (2997ds/20Mi)
% 2.64/1.73 % (30286)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_29865 for (2997ds/3Mi)
% 2.64/1.73 % (30286)Instruction limit reached!
% 2.64/1.73 % (30286)------------------------------
% 2.64/1.73 % (30286)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.73 % (30286)Termination reason: Unknown
% 2.64/1.73 % (30286)Termination phase: shuffling
% 2.64/1.73
% 2.64/1.73 % (30286)Memory used [KB]: 1151
% 2.64/1.73 % (30286)Time elapsed: 0.002 s
% 2.64/1.73 % (30286)Instructions burned: 4 (million)
% 2.64/1.73 % (30286)------------------------------
% 2.64/1.73 % (30286)------------------------------
% 2.64/1.73 % (30287)Instruction limit reached!
% 2.64/1.73 % (30287)------------------------------
% 2.64/1.73 % (30287)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.73 % (30287)Termination reason: Unknown
% 2.64/1.73 % (30287)Termination phase: SInE selection
% 2.64/1.73
% 2.64/1.73 % (30287)Memory used [KB]: 1279
% 2.64/1.73 % (30287)Time elapsed: 0.007 s
% 2.64/1.73 % (30287)Instructions burned: 22 (million)
% 2.64/1.73 % (30287)------------------------------
% 2.64/1.73 % (30287)------------------------------
% 2.64/1.74 % (30292)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_29865 for (2997ds/86Mi)
% 2.64/1.74 % (30294)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_29865 for (2997ds/107Mi)
% 2.64/1.76 % (30252)Instruction limit reached!
% 2.64/1.76 % (30252)------------------------------
% 2.64/1.76 % (30252)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.76 % (30252)Termination reason: Unknown
% 2.64/1.76 % (30252)Termination phase: Saturation
% 2.64/1.76
% 2.64/1.76 % (30252)Memory used [KB]: 7164
% 2.64/1.76 % (30252)Time elapsed: 0.147 s
% 2.64/1.76 % (30252)Instructions burned: 377 (million)
% 2.64/1.76 % (30252)------------------------------
% 2.64/1.76 % (30252)------------------------------
% 2.64/1.76 % (30292)Instruction limit reached!
% 2.64/1.76 % (30292)------------------------------
% 2.64/1.76 % (30292)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.76 % (30292)Termination reason: Unknown
% 2.64/1.76 % (30292)Termination phase: Saturation
% 2.64/1.76
% 2.64/1.76 % (30292)Memory used [KB]: 6396
% 2.64/1.76 % (30292)Time elapsed: 0.028 s
% 2.64/1.76 % (30292)Instructions burned: 86 (million)
% 2.64/1.76 % (30292)------------------------------
% 2.64/1.76 % (30292)------------------------------
% 2.64/1.77 % (30300)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_29865 for (2997ds/39Mi)
% 2.64/1.77 % (30294)Instruction limit reached!
% 2.64/1.77 % (30294)------------------------------
% 2.64/1.77 % (30294)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.77 % (30294)Termination reason: Unknown
% 2.64/1.77 % (30294)Termination phase: Saturation
% 2.64/1.77
% 2.64/1.77 % (30294)Memory used [KB]: 6524
% 2.64/1.77 % (30294)Time elapsed: 0.032 s
% 2.64/1.77 % (30294)Instructions burned: 109 (million)
% 2.64/1.77 % (30294)------------------------------
% 2.64/1.77 % (30294)------------------------------
% 2.64/1.77 % (30303)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_29865 for (2997ds/448Mi)
% 2.64/1.78 % (30300)Instruction limit reached!
% 2.64/1.78 % (30300)------------------------------
% 2.64/1.78 % (30300)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.78 % (30300)Termination reason: Unknown
% 2.64/1.78 % (30300)Termination phase: Property scanning
% 2.64/1.78
% 2.64/1.78 % (30300)Memory used [KB]: 1535
% 2.64/1.78 % (30300)Time elapsed: 0.013 s
% 2.64/1.78 % (30300)Instructions burned: 41 (million)
% 2.64/1.78 % (30300)------------------------------
% 2.64/1.78 % (30300)------------------------------
% 2.64/1.78 % (30307)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_29865 for (2997ds/46Mi)
% 2.64/1.79 % (30310)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_29865 for (2997ds/98Mi)
% 2.64/1.80 % (30307)Instruction limit reached!
% 2.64/1.80 % (30307)------------------------------
% 2.64/1.80 % (30307)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.80 % (30307)Termination reason: Unknown
% 2.64/1.80 % (30307)Termination phase: Property scanning
% 2.64/1.80
% 2.64/1.80 % (30307)Memory used [KB]: 1535
% 2.64/1.80 % (30307)Time elapsed: 0.014 s
% 2.64/1.80 % (30307)Instructions burned: 47 (million)
% 2.64/1.80 % (30307)------------------------------
% 2.64/1.80 % (30307)------------------------------
% 2.64/1.80 % (30316)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_29865 for (2997ds/507Mi)
% 2.64/1.81 % (30257)Refutation not found, non-redundant clauses discarded% (30257)------------------------------
% 2.64/1.81 % (30257)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.81 % (30257)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.64/1.81
% 2.64/1.81 % (30257)Memory used [KB]: 8187
% 2.64/1.81 % (30257)Time elapsed: 0.193 s
% 2.64/1.81 % (30257)Instructions burned: 556 (million)
% 2.64/1.81 % (30257)------------------------------
% 2.64/1.81 % (30257)------------------------------
% 2.64/1.82 % (30310)Instruction limit reached!
% 2.64/1.82 % (30310)------------------------------
% 2.64/1.82 % (30310)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.82 % (30310)Termination reason: Unknown
% 2.64/1.82 % (30310)Termination phase: Saturation
% 2.64/1.82
% 2.64/1.82 % (30310)Memory used [KB]: 1791
% 2.64/1.82 % (30310)Time elapsed: 0.031 s
% 2.64/1.82 % (30310)Instructions burned: 100 (million)
% 2.64/1.82 % (30310)------------------------------
% 2.64/1.82 % (30310)------------------------------
% 2.64/1.82 % (30320)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_29865 for (2997ds/149Mi)
% 2.64/1.83 % (30322)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_29865 for (2996ds/39Mi)
% 2.64/1.84 % (30322)Instruction limit reached!
% 2.64/1.84 % (30322)------------------------------
% 2.64/1.84 % (30322)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.84 % (30322)Termination reason: Unknown
% 2.64/1.84 % (30322)Termination phase: Property scanning
% 2.64/1.84
% 2.64/1.84 % (30322)Memory used [KB]: 1535
% 2.64/1.84 % (30322)Time elapsed: 0.013 s
% 2.64/1.84 % (30322)Instructions burned: 39 (million)
% 2.64/1.84 % (30322)------------------------------
% 2.64/1.84 % (30322)------------------------------
% 2.64/1.85 % (30327)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_29865 for (2996ds/6Mi)
% 2.64/1.85 % (30327)Instruction limit reached!
% 2.64/1.85 % (30327)------------------------------
% 2.64/1.85 % (30327)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.85 % (30327)Termination reason: Unknown
% 2.64/1.85 % (30327)Termination phase: shuffling
% 2.64/1.85
% 2.64/1.85 % (30327)Memory used [KB]: 1279
% 2.64/1.85 % (30327)Time elapsed: 0.004 s
% 2.64/1.85 % (30327)Instructions burned: 8 (million)
% 2.64/1.85 % (30327)------------------------------
% 2.64/1.85 % (30327)------------------------------
% 2.64/1.86 % (30253)Instruction limit reached!
% 2.64/1.86 % (30253)------------------------------
% 2.64/1.86 % (30253)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.86 % (30253)Termination reason: Unknown
% 2.64/1.86 % (30253)Termination phase: Saturation
% 2.64/1.86
% 2.64/1.86 % (30253)Memory used [KB]: 7675
% 2.64/1.86 % (30253)Time elapsed: 0.251 s
% 2.64/1.86 % (30253)Instructions burned: 779 (million)
% 2.64/1.86 % (30253)------------------------------
% 2.64/1.86 % (30253)------------------------------
% 2.64/1.86 % (30331)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_29865 for (2996ds/1087Mi)
% 2.64/1.87 % (30320)Instruction limit reached!
% 2.64/1.87 % (30320)------------------------------
% 2.64/1.87 % (30320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.87 % (30320)Termination reason: Unknown
% 2.64/1.87 % (30320)Termination phase: Saturation
% 2.64/1.87
% 2.64/1.87 % (30320)Memory used [KB]: 6524
% 2.64/1.87 % (30320)Time elapsed: 0.045 s
% 2.64/1.87 % (30320)Instructions burned: 149 (million)
% 2.64/1.87 % (30320)------------------------------
% 2.64/1.87 % (30320)------------------------------
% 2.64/1.87 % (30334)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_29865 for (2996ds/47Mi)
% 2.64/1.88 % (30335)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_29865 for (2996ds/44Mi)
% 2.64/1.88 % (30334)Instruction limit reached!
% 2.64/1.88 % (30334)------------------------------
% 2.64/1.88 % (30334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.88 % (30334)Termination reason: Unknown
% 2.64/1.88 % (30334)Termination phase: Property scanning
% 2.64/1.88
% 2.64/1.88 % (30334)Memory used [KB]: 1535
% 2.64/1.88 % (30334)Time elapsed: 0.014 s
% 2.64/1.88 % (30334)Instructions burned: 47 (million)
% 2.64/1.88 % (30334)------------------------------
% 2.64/1.88 % (30334)------------------------------
% 2.64/1.89 % (30335)Instruction limit reached!
% 2.64/1.89 % (30335)------------------------------
% 2.64/1.89 % (30335)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.89 % (30335)Termination reason: Unknown
% 2.64/1.89 % (30335)Termination phase: Property scanning
% 2.64/1.89
% 2.64/1.89 % (30335)Memory used [KB]: 1535
% 2.64/1.89 % (30335)Time elapsed: 0.013 s
% 2.64/1.89 % (30335)Instructions burned: 46 (million)
% 2.64/1.89 % (30335)------------------------------
% 2.64/1.89 % (30335)------------------------------
% 2.64/1.89 % (30341)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_29865 for (2996ds/432Mi)
% 2.64/1.90 % (30342)lrs+10_7:1_cnfonf=lazy_gen:fe=off:nwc=5.0:plsq=on:i=62:si=on:rtra=on_0 on DTF2THF_29865 for (2996ds/62Mi)
% 2.64/1.90 % (30222)Instruction limit reached!
% 2.64/1.90 % (30222)------------------------------
% 2.64/1.90 % (30222)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.90 % (30222)Termination reason: Unknown
% 2.64/1.90 % (30222)Termination phase: Saturation
% 2.64/1.90
% 2.64/1.90 % (30222)Memory used [KB]: 8187
% 2.64/1.90 % (30222)Time elapsed: 0.339 s
% 2.64/1.90 % (30222)Instructions burned: 1044 (million)
% 2.64/1.90 % (30222)------------------------------
% 2.64/1.90 % (30222)------------------------------
% 2.64/1.91 % (30342)Instruction limit reached!
% 2.64/1.91 % (30342)------------------------------
% 2.64/1.91 % (30342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.91 % (30342)Termination reason: Unknown
% 2.64/1.91 % (30342)Termination phase: Property scanning
% 2.64/1.91
% 2.64/1.91 % (30342)Memory used [KB]: 1535
% 2.64/1.91 % (30342)Time elapsed: 0.017 s
% 2.64/1.91 % (30342)Instructions burned: 66 (million)
% 2.64/1.91 % (30342)------------------------------
% 2.64/1.91 % (30342)------------------------------
% 2.64/1.91 % (30348)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_29865 for (2996ds/31Mi)
% 2.64/1.92 % (30303)Instruction limit reached!
% 2.64/1.92 % (30303)------------------------------
% 2.64/1.92 % (30303)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.92 % (30303)Termination reason: Unknown
% 2.64/1.92 % (30303)Termination phase: Saturation
% 2.64/1.92
% 2.64/1.92 % (30303)Memory used [KB]: 7547
% 2.64/1.92 % (30303)Time elapsed: 0.143 s
% 2.64/1.92 % (30303)Instructions burned: 448 (million)
% 2.64/1.92 % (30303)------------------------------
% 2.64/1.92 % (30303)------------------------------
% 2.64/1.92 % (30348)Instruction limit reached!
% 2.64/1.92 % (30348)------------------------------
% 2.64/1.92 % (30348)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.92 % (30348)Termination reason: Unknown
% 2.64/1.92 % (30348)Termination phase: Property scanning
% 2.64/1.92
% 2.64/1.92 % (30348)Memory used [KB]: 1535
% 2.64/1.92 % (30348)Time elapsed: 0.010 s
% 2.64/1.92 % (30348)Instructions burned: 33 (million)
% 2.64/1.92 % (30348)------------------------------
% 2.64/1.92 % (30348)------------------------------
% 2.64/1.92 % (30351)dis+10_1:128_hud=1:i=96:si=on:rtra=on_0 on DTF2THF_29865 for (2996ds/96Mi)
% 2.64/1.93 % (30353)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_29865 for (2996ds/453Mi)
% 2.64/1.93 % (30243)Instruction limit reached!
% 2.64/1.93 % (30243)------------------------------
% 2.64/1.93 % (30243)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.93 % (30243)Termination reason: Unknown
% 2.64/1.93 % (30243)Termination phase: Saturation
% 2.64/1.93
% 2.64/1.93 % (30243)Memory used [KB]: 9210
% 2.64/1.93 % (30243)Time elapsed: 0.314 s
% 2.64/1.93 % (30243)Instructions burned: 902 (million)
% 2.64/1.93 % (30243)------------------------------
% 2.64/1.93 % (30243)------------------------------
% 2.64/1.93 % (30356)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_29865 for (2995ds/71Mi)
% 2.64/1.94 % (30360)dis+1002_1:1_bd=off:fsr=off:ntd=on:s2a=on:ss=axioms:i=83:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/83Mi)
% 2.64/1.95 % (30351)Instruction limit reached!
% 2.64/1.95 % (30351)------------------------------
% 2.64/1.95 % (30351)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.95 % (30351)Termination reason: Unknown
% 2.64/1.95 % (30351)Termination phase: Saturation
% 2.64/1.95
% 2.64/1.95 % (30351)Memory used [KB]: 6268
% 2.64/1.95 % (30351)Time elapsed: 0.030 s
% 2.64/1.95 % (30351)Instructions burned: 98 (million)
% 2.64/1.95 % (30351)------------------------------
% 2.64/1.95 % (30351)------------------------------
% 2.64/1.95 % (30356)Instruction limit reached!
% 2.64/1.95 % (30356)------------------------------
% 2.64/1.95 % (30356)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.95 % (30356)Termination reason: Unknown
% 2.64/1.95 % (30356)Termination phase: Saturation
% 2.64/1.95
% 2.64/1.95 % (30356)Memory used [KB]: 1535
% 2.64/1.95 % (30356)Time elapsed: 0.021 s
% 2.64/1.95 % (30356)Instructions burned: 73 (million)
% 2.64/1.95 % (30356)------------------------------
% 2.64/1.95 % (30356)------------------------------
% 2.64/1.96 % (30316)Instruction limit reached!
% 2.64/1.96 % (30316)------------------------------
% 2.64/1.96 % (30316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.96 % (30316)Termination reason: Unknown
% 2.64/1.96 % (30316)Termination phase: Saturation
% 2.64/1.96
% 2.64/1.96 % (30316)Memory used [KB]: 7803
% 2.64/1.96 % (30316)Time elapsed: 0.153 s
% 2.64/1.96 % (30316)Instructions burned: 507 (million)
% 2.64/1.96 % (30316)------------------------------
% 2.64/1.96 % (30316)------------------------------
% 2.64/1.96 % (30367)lrs+10_1:128_cnfonf=lazy_not_gen_be_off:hud=1:ins=1:i=11:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/11Mi)
% 2.64/1.96 % (30369)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_29865 for (2995ds/41Mi)
% 2.64/1.96 % (30367)Instruction limit reached!
% 2.64/1.96 % (30367)------------------------------
% 2.64/1.96 % (30367)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.96 % (30367)Termination reason: Unknown
% 2.64/1.96 % (30367)Termination phase: shuffling
% 2.64/1.96
% 2.64/1.96 % (30367)Memory used [KB]: 1279
% 2.64/1.96 % (30367)Time elapsed: 0.004 s
% 2.64/1.96 % (30367)Instructions burned: 11 (million)
% 2.64/1.96 % (30367)------------------------------
% 2.64/1.96 % (30367)------------------------------
% 2.64/1.97 % (30370)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/6Mi)
% 2.64/1.97 % (30370)Instruction limit reached!
% 2.64/1.97 % (30370)------------------------------
% 2.64/1.97 % (30370)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.97 % (30370)Termination reason: Unknown
% 2.64/1.97 % (30370)Termination phase: shuffling
% 2.64/1.97
% 2.64/1.97 % (30370)Memory used [KB]: 1151
% 2.64/1.97 % (30370)Time elapsed: 0.003 s
% 2.64/1.97 % (30370)Instructions burned: 6 (million)
% 2.64/1.97 % (30370)------------------------------
% 2.64/1.97 % (30370)------------------------------
% 2.64/1.97 % (30360)Instruction limit reached!
% 2.64/1.97 % (30360)------------------------------
% 2.64/1.97 % (30360)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.97 % (30360)Termination reason: Unknown
% 2.64/1.97 % (30360)Termination phase: Saturation
% 2.64/1.97
% 2.64/1.97 % (30360)Memory used [KB]: 6140
% 2.64/1.97 % (30360)Time elapsed: 0.028 s
% 2.64/1.97 % (30360)Instructions burned: 85 (million)
% 2.64/1.97 % (30360)------------------------------
% 2.64/1.97 % (30360)------------------------------
% 2.64/1.97 % (30369)Instruction limit reached!
% 2.64/1.97 % (30369)------------------------------
% 2.64/1.97 % (30369)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.64/1.97 % (30369)Termination reason: Unknown
% 2.64/1.97 % (30369)Termination phase: Property scanning
% 2.64/1.97
% 2.64/1.97 % (30369)Memory used [KB]: 1535
% 2.64/1.97 % (30369)Time elapsed: 0.012 s
% 2.64/1.97 % (30369)Instructions burned: 44 (million)
% 2.64/1.97 % (30369)------------------------------
% 2.64/1.97 % (30369)------------------------------
% 2.64/1.97 % (30373)dis+10_1:1_avsq=on:cnfonf=off:e2e=on:nm=32:i=150:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/150Mi)
% 2.64/1.98 % (30376)ott+1010_1:1_au=on:s2a=on:sd=7:ss=axioms:st=1.5:i=343:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/343Mi)
% 2.64/1.98 % (30377)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_29865 for (2995ds/109Mi)
% 2.64/1.98 % (30379)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_29865 for (2995ds/253Mi)
% 5.94/2.02 % (30373)Instruction limit reached!
% 5.94/2.02 % (30373)------------------------------
% 5.94/2.02 % (30373)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.02 % (30373)Termination reason: Unknown
% 5.94/2.02 % (30373)Termination phase: Saturation
% 5.94/2.02
% 5.94/2.02 % (30373)Memory used [KB]: 6524
% 5.94/2.02 % (30373)Time elapsed: 0.045 s
% 5.94/2.02 % (30373)Instructions burned: 151 (million)
% 5.94/2.02 % (30373)------------------------------
% 5.94/2.02 % (30373)------------------------------
% 5.94/2.02 % (30341)Instruction limit reached!
% 5.94/2.02 % (30341)------------------------------
% 5.94/2.02 % (30341)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.02 % (30341)Termination reason: Unknown
% 5.94/2.02 % (30341)Termination phase: Saturation
% 5.94/2.02
% 5.94/2.02 % (30341)Memory used [KB]: 3070
% 5.94/2.02 % (30341)Time elapsed: 0.132 s
% 5.94/2.02 % (30341)Instructions burned: 432 (million)
% 5.94/2.02 % (30341)------------------------------
% 5.94/2.02 % (30341)------------------------------
% 5.94/2.03 % (30392)lrs+10_1:1_au=on:cnfonf=off:sd=1:sgt=16:ss=axioms:i=140:si=on:rtra=on_0 on DTF2THF_29865 for (2995ds/140Mi)
% 5.94/2.03 % (30396)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_29865 for (2994ds/614Mi)
% 5.94/2.03 % (30377)Instruction limit reached!
% 5.94/2.03 % (30377)------------------------------
% 5.94/2.03 % (30377)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.03 % (30377)Termination reason: Unknown
% 5.94/2.03 % (30377)Termination phase: Saturation
% 5.94/2.03
% 5.94/2.03 % (30377)Memory used [KB]: 6524
% 5.94/2.03 % (30377)Time elapsed: 0.051 s
% 5.94/2.03 % (30377)Instructions burned: 110 (million)
% 5.94/2.03 % (30377)------------------------------
% 5.94/2.03 % (30377)------------------------------
% 5.94/2.05 % (30397)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_29865 for (2994ds/202Mi)
% 5.94/2.06 % (30379)Instruction limit reached!
% 5.94/2.06 % (30379)------------------------------
% 5.94/2.06 % (30379)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.06 % (30379)Termination reason: Unknown
% 5.94/2.06 % (30379)Termination phase: Saturation
% 5.94/2.06
% 5.94/2.06 % (30379)Memory used [KB]: 6908
% 5.94/2.06 % (30379)Time elapsed: 0.096 s
% 5.94/2.06 % (30379)Instructions burned: 255 (million)
% 5.94/2.06 % (30379)------------------------------
% 5.94/2.06 % (30379)------------------------------
% 5.94/2.07 % (30403)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_29865 for (2994ds/339Mi)
% 5.94/2.07 % (30392)Instruction limit reached!
% 5.94/2.07 % (30392)------------------------------
% 5.94/2.07 % (30392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.07 % (30392)Termination reason: Unknown
% 5.94/2.07 % (30392)Termination phase: Saturation
% 5.94/2.07
% 5.94/2.07 % (30392)Memory used [KB]: 6012
% 5.94/2.07 % (30392)Time elapsed: 0.067 s
% 5.94/2.07 % (30392)Instructions burned: 142 (million)
% 5.94/2.07 % (30392)------------------------------
% 5.94/2.07 % (30392)------------------------------
% 5.94/2.07 % (30353)Instruction limit reached!
% 5.94/2.07 % (30353)------------------------------
% 5.94/2.07 % (30353)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.07 % (30353)Termination reason: Unknown
% 5.94/2.07 % (30353)Termination phase: Saturation
% 5.94/2.07
% 5.94/2.07 % (30353)Memory used [KB]: 6908
% 5.94/2.07 % (30353)Time elapsed: 0.146 s
% 5.94/2.07 % (30353)Instructions burned: 455 (million)
% 5.94/2.07 % (30353)------------------------------
% 5.94/2.07 % (30353)------------------------------
% 5.94/2.08 % (30376)Instruction limit reached!
% 5.94/2.08 % (30376)------------------------------
% 5.94/2.08 % (30376)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 5.94/2.08 % (30376)Termination reason: Unknown
% 5.94/2.08 % (30376)Termination phase: Saturation
% 5.94/2.08
% 5.94/2.08 % (30376)Memory used [KB]: 6780
% 5.94/2.08 % (30376)Time elapsed: 0.124 s
% 5.94/2.08 % (30376)Instructions burned: 344 (million)
% 5.94/2.08 % (30376)------------------------------
% 5.94/2.08 % (30376)------------------------------
% 5.94/2.08 % (30409)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_29865 for (2994ds/283Mi)
% 5.94/2.08 % (30411)dis+2_1:1_cha=on:hud=7:nwc=3.0:prag=on:tnu=2:i=134:si=on:rtra=on_0 on DTF2THF_29865 for (2994ds/134Mi)
% 5.94/2.09 % (30416)dis+1010_1:64_cnfonf=lazy_simp:fd=off:i=298:si=on:rtra=on_0 on DTF2THF_29865 for (2994ds/298Mi)
% 6.34/2.12 % (30411)Instruction limit reached!
% 6.34/2.12 % (30411)------------------------------
% 6.34/2.12 % (30411)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.12 % (30411)Termination reason: Unknown
% 6.34/2.12 % (30411)Termination phase: Saturation
% 6.34/2.12
% 6.34/2.12 % (30411)Memory used [KB]: 6524
% 6.34/2.12 % (30411)Time elapsed: 0.040 s
% 6.34/2.12 % (30411)Instructions burned: 134 (million)
% 6.34/2.12 % (30411)------------------------------
% 6.34/2.12 % (30411)------------------------------
% 6.34/2.13 % (30428)lrs+2_1:8_erd=off:plsq=on:plsqr=32,1:sos=on:i=192:si=on:rtra=on_0 on DTF2THF_29865 for (2993ds/192Mi)
% 6.34/2.15 % (30397)Refutation not found, incomplete strategy
% 6.34/2.15 % (30397)------------------------------
% 6.34/2.15 % (30397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.15 % (30397)Termination reason: Refutation not found, incomplete strategy
% 6.34/2.15
% 6.34/2.15
% 6.34/2.15 % (30397)Memory used [KB]: 6396
% 6.34/2.15 % (30397)Time elapsed: 0.098 s
% 6.34/2.15 % (30397)Instructions burned: 184 (million)
% 6.34/2.15 % (30397)------------------------------
% 6.34/2.15 % (30397)------------------------------
% 6.34/2.16 % (30438)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_29865 for (2993ds/258Mi)
% 6.34/2.16 % (30409)Instruction limit reached!
% 6.34/2.16 % (30409)------------------------------
% 6.34/2.16 % (30409)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.16 % (30409)Termination reason: Unknown
% 6.34/2.16 % (30409)Termination phase: Saturation
% 6.34/2.16
% 6.34/2.16 % (30409)Memory used [KB]: 7164
% 6.34/2.16 % (30409)Time elapsed: 0.085 s
% 6.34/2.16 % (30409)Instructions burned: 285 (million)
% 6.34/2.16 % (30409)------------------------------
% 6.34/2.16 % (30409)------------------------------
% 6.34/2.17 % (30403)Instruction limit reached!
% 6.34/2.17 % (30403)------------------------------
% 6.34/2.17 % (30403)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.17 % (30403)Termination reason: Unknown
% 6.34/2.17 % (30403)Termination phase: Saturation
% 6.34/2.17
% 6.34/2.17 % (30403)Memory used [KB]: 6908
% 6.34/2.17 % (30403)Time elapsed: 0.108 s
% 6.34/2.17 % (30403)Instructions burned: 342 (million)
% 6.34/2.17 % (30403)------------------------------
% 6.34/2.17 % (30403)------------------------------
% 6.34/2.17 % (30443)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_29865 for (2993ds/90Mi)
% 6.34/2.18 % (30416)Instruction limit reached!
% 6.34/2.18 % (30416)------------------------------
% 6.34/2.18 % (30416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.18 % (30416)Termination reason: Unknown
% 6.34/2.18 % (30416)Termination phase: Saturation
% 6.34/2.18
% 6.34/2.18 % (30416)Memory used [KB]: 7419
% 6.34/2.18 % (30416)Time elapsed: 0.088 s
% 6.34/2.18 % (30416)Instructions burned: 299 (million)
% 6.34/2.18 % (30416)------------------------------
% 6.34/2.18 % (30416)------------------------------
% 6.34/2.18 % (30446)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_29865 for (2993ds/231Mi)
% 6.34/2.19 % (30447)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_29865 for (2993ds/458Mi)
% 6.34/2.19 % (30428)Instruction limit reached!
% 6.34/2.19 % (30428)------------------------------
% 6.34/2.19 % (30428)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.34/2.19 % (30428)Termination reason: Unknown
% 6.34/2.19 % (30428)Termination phase: Saturation
% 6.34/2.19
% 6.34/2.19 % (30428)Memory used [KB]: 7291
% 6.34/2.19 % (30428)Time elapsed: 0.057 s
% 6.34/2.19 % (30428)Instructions burned: 193 (million)
% 6.34/2.19 % (30428)------------------------------
% 6.34/2.19 % (30428)------------------------------
% 6.34/2.20 % (30449)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_29865 for (2993ds/31Mi)
% 6.97/2.20 % (30443)Instruction limit reached!
% 6.97/2.20 % (30443)------------------------------
% 6.97/2.20 % (30443)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.20 % (30443)Termination reason: Unknown
% 6.97/2.20 % (30443)Termination phase: Saturation
% 6.97/2.20
% 6.97/2.20 % (30443)Memory used [KB]: 6396
% 6.97/2.20 % (30443)Time elapsed: 0.026 s
% 6.97/2.20 % (30443)Instructions burned: 90 (million)
% 6.97/2.20 % (30443)------------------------------
% 6.97/2.20 % (30443)------------------------------
% 6.97/2.20 % (30449)Instruction limit reached!
% 6.97/2.20 % (30449)------------------------------
% 6.97/2.20 % (30449)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.20 % (30449)Termination reason: Unknown
% 6.97/2.20 % (30449)Termination phase: Property scanning
% 6.97/2.20
% 6.97/2.20 % (30449)Memory used [KB]: 1535
% 6.97/2.20 % (30449)Time elapsed: 0.010 s
% 6.97/2.20 % (30449)Instructions burned: 32 (million)
% 6.97/2.20 % (30449)------------------------------
% 6.97/2.20 % (30449)------------------------------
% 6.97/2.21 % (30454)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_29865 for (2993ds/297Mi)
% 6.97/2.21 % (30331)Instruction limit reached!
% 6.97/2.21 % (30331)------------------------------
% 6.97/2.21 % (30331)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.21 % (30331)Termination reason: Unknown
% 6.97/2.21 % (30331)Termination phase: Saturation
% 6.97/2.21
% 6.97/2.21 % (30331)Memory used [KB]: 8443
% 6.97/2.21 % (30331)Time elapsed: 0.352 s
% 6.97/2.21 % (30331)Instructions burned: 1087 (million)
% 6.97/2.21 % (30331)------------------------------
% 6.97/2.21 % (30331)------------------------------
% 6.97/2.21 % (30457)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_29865 for (2993ds/987Mi)
% 6.97/2.22 % (30461)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_29865 for (2992ds/182Mi)
% 6.97/2.22 % (30396)Instruction limit reached!
% 6.97/2.22 % (30396)------------------------------
% 6.97/2.22 % (30396)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.22 % (30396)Termination reason: Unknown
% 6.97/2.22 % (30396)Termination phase: Saturation
% 6.97/2.22
% 6.97/2.22 % (30396)Memory used [KB]: 7675
% 6.97/2.22 % (30396)Time elapsed: 0.190 s
% 6.97/2.22 % (30396)Instructions burned: 614 (million)
% 6.97/2.22 % (30396)------------------------------
% 6.97/2.22 % (30396)------------------------------
% 6.97/2.23 % (30462)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_29865 for (2992ds/182Mi)
% 6.97/2.24 % (30438)Instruction limit reached!
% 6.97/2.24 % (30438)------------------------------
% 6.97/2.24 % (30438)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.24 % (30438)Termination reason: Unknown
% 6.97/2.24 % (30438)Termination phase: Saturation
% 6.97/2.24
% 6.97/2.24 % (30438)Memory used [KB]: 6524
% 6.97/2.24 % (30438)Time elapsed: 0.086 s
% 6.97/2.24 % (30438)Instructions burned: 259 (million)
% 6.97/2.24 % (30438)------------------------------
% 6.97/2.24 % (30438)------------------------------
% 6.97/2.25 % (30446)Instruction limit reached!
% 6.97/2.25 % (30446)------------------------------
% 6.97/2.25 % (30446)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.25 % (30446)Termination reason: Unknown
% 6.97/2.25 % (30446)Termination phase: Saturation
% 6.97/2.25
% 6.97/2.25 % (30446)Memory used [KB]: 6524
% 6.97/2.25 % (30446)Time elapsed: 0.071 s
% 6.97/2.25 % (30446)Instructions burned: 231 (million)
% 6.97/2.25 % (30446)------------------------------
% 6.97/2.25 % (30446)------------------------------
% 6.97/2.25 % (30470)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_29865 for (2992ds/154Mi)
% 6.97/2.26 % (30474)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_29865 for (2992ds/79Mi)
% 6.97/2.28 % (30461)Instruction limit reached!
% 6.97/2.28 % (30461)------------------------------
% 6.97/2.28 % (30461)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.28 % (30461)Termination reason: Unknown
% 6.97/2.28 % (30461)Termination phase: Saturation
% 6.97/2.28
% 6.97/2.28 % (30461)Memory used [KB]: 6908
% 6.97/2.28 % (30461)Time elapsed: 0.056 s
% 6.97/2.28 % (30461)Instructions burned: 184 (million)
% 6.97/2.28 % (30461)------------------------------
% 6.97/2.28 % (30461)------------------------------
% 6.97/2.28 % (30470)Refutation not found, incomplete strategy
% 6.97/2.28 % (30470)------------------------------
% 6.97/2.28 % (30470)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.28 % (30470)Termination reason: Refutation not found, incomplete strategy
% 6.97/2.28
% 6.97/2.28
% 6.97/2.28 % (30470)Memory used [KB]: 6268
% 6.97/2.28 % (30470)Time elapsed: 0.026 s
% 6.97/2.28 % (30470)Instructions burned: 90 (million)
% 6.97/2.28 % (30470)------------------------------
% 6.97/2.28 % (30470)------------------------------
% 6.97/2.28 % (30474)Instruction limit reached!
% 6.97/2.28 % (30474)------------------------------
% 6.97/2.28 % (30474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.28 % (30474)Termination reason: Unknown
% 6.97/2.28 % (30474)Termination phase: Saturation
% 6.97/2.28
% 6.97/2.28 % (30474)Memory used [KB]: 6268
% 6.97/2.28 % (30474)Time elapsed: 0.024 s
% 6.97/2.28 % (30474)Instructions burned: 80 (million)
% 6.97/2.28 % (30474)------------------------------
% 6.97/2.28 % (30474)------------------------------
% 6.97/2.29 % (30462)Instruction limit reached!
% 6.97/2.29 % (30462)------------------------------
% 6.97/2.29 % (30462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 6.97/2.29 % (30462)Termination reason: Unknown
% 6.97/2.29 % (30462)Termination phase: Saturation
% 6.97/2.29
% 6.97/2.29 % (30462)Memory used [KB]: 6780
% 6.97/2.29 % (30462)Time elapsed: 0.055 s
% 6.97/2.29 % (30462)Instructions burned: 182 (million)
% 6.97/2.29 % (30462)------------------------------
% 6.97/2.29 % (30462)------------------------------
% 6.97/2.29 % (30480)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_29865 for (2992ds/216Mi)
% 6.97/2.29 % (30481)lrs+1002_1:1_fe=off:hud=10:ins=2:sac=on:sp=const_frequency:i=114:si=on:rtra=on_0 on DTF2THF_29865 for (2992ds/114Mi)
% 6.97/2.29 % (30482)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_29865 for (2992ds/922Mi)
% 7.63/2.30 % (30454)Instruction limit reached!
% 7.63/2.30 % (30454)------------------------------
% 7.63/2.30 % (30454)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.30 % (30454)Termination reason: Unknown
% 7.63/2.30 % (30454)Termination phase: Saturation
% 7.63/2.30
% 7.63/2.30 % (30454)Memory used [KB]: 6524
% 7.63/2.30 % (30454)Time elapsed: 0.089 s
% 7.63/2.30 % (30454)Instructions burned: 298 (million)
% 7.63/2.30 % (30454)------------------------------
% 7.63/2.30 % (30454)------------------------------
% 7.63/2.30 % (30483)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_29865 for (2992ds/182Mi)
% 7.63/2.31 % (30488)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_29865 for (2992ds/164Mi)
% 7.63/2.32 % (30447)Instruction limit reached!
% 7.63/2.32 % (30447)------------------------------
% 7.63/2.32 % (30447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.32 % (30447)Termination reason: Unknown
% 7.63/2.32 % (30447)Termination phase: Saturation
% 7.63/2.32
% 7.63/2.32 % (30447)Memory used [KB]: 7675
% 7.63/2.32 % (30447)Time elapsed: 0.140 s
% 7.63/2.32 % (30447)Instructions burned: 460 (million)
% 7.63/2.32 % (30447)------------------------------
% 7.63/2.32 % (30447)------------------------------
% 7.63/2.33 % (30481)Instruction limit reached!
% 7.63/2.33 % (30481)------------------------------
% 7.63/2.33 % (30481)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.33 % (30481)Termination reason: Unknown
% 7.63/2.33 % (30481)Termination phase: Saturation
% 7.63/2.33
% 7.63/2.33 % (30481)Memory used [KB]: 6524
% 7.63/2.33 % (30481)Time elapsed: 0.037 s
% 7.63/2.33 % (30481)Instructions burned: 115 (million)
% 7.63/2.33 % (30481)------------------------------
% 7.63/2.33 % (30481)------------------------------
% 7.63/2.33 % (30495)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_29865 for (2991ds/50Mi)
% 7.63/2.34 % (30496)dis-30_1:1_acc=on:bd=off:fsr=off:plsq=on:plsqr=32,1:i=368:si=on:rtra=on_0 on DTF2THF_29865 for (2991ds/368Mi)
% 7.63/2.35 % (30495)Instruction limit reached!
% 7.63/2.35 % (30495)------------------------------
% 7.63/2.35 % (30495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.35 % (30495)Termination reason: Unknown
% 7.63/2.35 % (30495)Termination phase: Function definition elimination
% 7.63/2.35
% 7.63/2.35 % (30495)Memory used [KB]: 1535
% 7.63/2.35 % (30495)Time elapsed: 0.014 s
% 7.63/2.35 % (30495)Instructions burned: 52 (million)
% 7.63/2.35 % (30495)------------------------------
% 7.63/2.35 % (30495)------------------------------
% 7.63/2.35 % (30483)Instruction limit reached!
% 7.63/2.35 % (30483)------------------------------
% 7.63/2.35 % (30483)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.35 % (30483)Termination reason: Unknown
% 7.63/2.35 % (30483)Termination phase: Saturation
% 7.63/2.35
% 7.63/2.35 % (30483)Memory used [KB]: 6908
% 7.63/2.35 % (30483)Time elapsed: 0.052 s
% 7.63/2.35 % (30483)Instructions burned: 182 (million)
% 7.63/2.35 % (30483)------------------------------
% 7.63/2.35 % (30483)------------------------------
% 7.63/2.35 % (30480)Instruction limit reached!
% 7.63/2.35 % (30480)------------------------------
% 7.63/2.35 % (30480)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.35 % (30480)Termination reason: Unknown
% 7.63/2.35 % (30480)Termination phase: Saturation
% 7.63/2.35
% 7.63/2.35 % (30480)Memory used [KB]: 6652
% 7.63/2.35 % (30480)Time elapsed: 0.064 s
% 7.63/2.35 % (30480)Instructions burned: 217 (million)
% 7.63/2.35 % (30480)------------------------------
% 7.63/2.35 % (30480)------------------------------
% 7.63/2.35 % (30488)Instruction limit reached!
% 7.63/2.35 % (30488)------------------------------
% 7.63/2.35 % (30488)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.35 % (30488)Termination reason: Unknown
% 7.63/2.35 % (30488)Termination phase: Saturation
% 7.63/2.35
% 7.63/2.35 % (30488)Memory used [KB]: 2174
% 7.63/2.35 % (30488)Time elapsed: 0.048 s
% 7.63/2.35 % (30488)Instructions burned: 167 (million)
% 7.63/2.35 % (30488)------------------------------
% 7.63/2.35 % (30488)------------------------------
% 7.63/2.36 % (30503)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_29865 for (2991ds/267Mi)
% 7.63/2.36 % (30504)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_29865 for (2991ds/204Mi)
% 7.63/2.36 % (30505)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_29865 for (2991ds/26Mi)
% 7.63/2.37 % (30502)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_29865 for (2991ds/1021Mi)
% 7.63/2.37 % (30505)Instruction limit reached!
% 7.63/2.37 % (30505)------------------------------
% 7.63/2.37 % (30505)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.37 % (30505)Termination reason: Unknown
% 7.63/2.37 % (30505)Termination phase: Property scanning
% 7.63/2.37
% 7.63/2.37 % (30505)Memory used [KB]: 1535
% 7.63/2.37 % (30505)Time elapsed: 0.008 s
% 7.63/2.37 % (30505)Instructions burned: 28 (million)
% 7.63/2.37 % (30505)------------------------------
% 7.63/2.37 % (30505)------------------------------
% 7.63/2.38 % (30511)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_29865 for (2991ds/53Mi)
% 7.63/2.39 % (30511)Instruction limit reached!
% 7.63/2.39 % (30511)------------------------------
% 7.63/2.39 % (30511)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 7.63/2.39 % (30511)Termination reason: Unknown
% 7.63/2.39 % (30511)Termination phase: Property scanning
% 7.63/2.39
% 7.63/2.39 % (30511)Memory used [KB]: 1535
% 7.63/2.39 % (30511)Time elapsed: 0.015 s
% 7.63/2.39 % (30511)Instructions burned: 54 (million)
% 7.63/2.39 % (30511)------------------------------
% 7.63/2.39 % (30511)------------------------------
% 8.17/2.40 % (30521)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_29865 for (2991ds/4436Mi)
% 8.17/2.42 % (30504)Instruction limit reached!
% 8.17/2.42 % (30504)------------------------------
% 8.17/2.42 % (30504)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.42 % (30504)Termination reason: Unknown
% 8.17/2.42 % (30504)Termination phase: Saturation
% 8.17/2.42
% 8.17/2.42 % (30504)Memory used [KB]: 6780
% 8.17/2.42 % (30504)Time elapsed: 0.063 s
% 8.17/2.42 % (30504)Instructions burned: 206 (million)
% 8.17/2.42 % (30504)------------------------------
% 8.17/2.42 % (30504)------------------------------
% 8.17/2.43 % (30528)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_29865 for (2990ds/1539Mi)
% 8.17/2.44 % (30503)Instruction limit reached!
% 8.17/2.44 % (30503)------------------------------
% 8.17/2.44 % (30503)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.44 % (30503)Termination reason: Unknown
% 8.17/2.44 % (30503)Termination phase: Saturation
% 8.17/2.44
% 8.17/2.44 % (30503)Memory used [KB]: 6780
% 8.17/2.44 % (30503)Time elapsed: 0.084 s
% 8.17/2.44 % (30503)Instructions burned: 268 (million)
% 8.17/2.44 % (30503)------------------------------
% 8.17/2.44 % (30503)------------------------------
% 8.17/2.45 % (30536)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_29865 for (2990ds/408Mi)
% 8.17/2.45 % (30496)Instruction limit reached!
% 8.17/2.45 % (30496)------------------------------
% 8.17/2.45 % (30496)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.17/2.45 % (30496)Termination reason: Unknown
% 8.17/2.45 % (30496)Termination phase: Saturation
% 8.17/2.45
% 8.17/2.45 % (30496)Memory used [KB]: 6780
% 8.17/2.45 % (30496)Time elapsed: 0.117 s
% 8.17/2.45 % (30496)Instructions burned: 371 (million)
% 8.17/2.45 % (30496)------------------------------
% 8.17/2.45 % (30496)------------------------------
% 8.17/2.46 % (30540)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_29865 for (2990ds/5205Mi)
% 8.46/2.52 % (30457)Instruction limit reached!
% 8.46/2.52 % (30457)------------------------------
% 8.46/2.52 % (30457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.52 % (30457)Termination reason: Unknown
% 8.46/2.52 % (30457)Termination phase: Saturation
% 8.46/2.52
% 8.46/2.52 % (30457)Memory used [KB]: 7931
% 8.46/2.52 % (30457)Time elapsed: 0.308 s
% 8.46/2.52 % (30457)Instructions burned: 988 (million)
% 8.46/2.52 % (30457)------------------------------
% 8.46/2.52 % (30457)------------------------------
% 8.46/2.53 % (30557)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_29865 for (2990ds/1913Mi)
% 8.46/2.57 % (30536)Instruction limit reached!
% 8.46/2.57 % (30536)------------------------------
% 8.46/2.57 % (30536)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.57 % (30536)Termination reason: Unknown
% 8.46/2.57 % (30536)Termination phase: Saturation
% 8.46/2.57
% 8.46/2.57 % (30536)Memory used [KB]: 7291
% 8.46/2.57 % (30536)Time elapsed: 0.121 s
% 8.46/2.57 % (30536)Instructions burned: 408 (million)
% 8.46/2.57 % (30536)------------------------------
% 8.46/2.57 % (30536)------------------------------
% 8.46/2.57 % (30482)Instruction limit reached!
% 8.46/2.57 % (30482)------------------------------
% 8.46/2.57 % (30482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.57 % (30482)Termination reason: Unknown
% 8.46/2.57 % (30482)Termination phase: Saturation
% 8.46/2.57
% 8.46/2.57 % (30482)Memory used [KB]: 7931
% 8.46/2.57 % (30482)Time elapsed: 0.279 s
% 8.46/2.57 % (30482)Instructions burned: 922 (million)
% 8.46/2.57 % (30482)------------------------------
% 8.46/2.57 % (30482)------------------------------
% 8.46/2.58 % (30577)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_29865 for (2989ds/4350Mi)
% 8.46/2.58 % (30578)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_29865 for (2989ds/68Mi)
% 8.46/2.59 % (30577)Refutation not found, incomplete strategy
% 8.46/2.59 % (30577)------------------------------
% 8.46/2.59 % (30577)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 8.46/2.59 % (30577)Termination reason: Refutation not found, incomplete strategy
% 8.46/2.59
% 8.46/2.59
% 8.46/2.59 % (30577)Memory used [KB]: 5884
% 8.46/2.59 % (30577)Time elapsed: 0.010 s
% 8.46/2.59 % (30577)Instructions burned: 28 (million)
% 8.46/2.59 % (30577)------------------------------
% 8.46/2.59 % (30577)------------------------------
% 9.21/2.60 % (30584)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_29865 for (2989ds/358Mi)
% 9.21/2.60 % (30578)Instruction limit reached!
% 9.21/2.60 % (30578)------------------------------
% 9.21/2.60 % (30578)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.60 % (30578)Termination reason: Unknown
% 9.21/2.60 % (30578)Termination phase: Saturation
% 9.21/2.60
% 9.21/2.60 % (30578)Memory used [KB]: 6140
% 9.21/2.60 % (30578)Time elapsed: 0.020 s
% 9.21/2.60 % (30578)Instructions burned: 69 (million)
% 9.21/2.60 % (30578)------------------------------
% 9.21/2.60 % (30578)------------------------------
% 9.21/2.61 % (30587)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_29865 for (2989ds/31Mi)
% 9.21/2.62 % (30587)Instruction limit reached!
% 9.21/2.62 % (30587)------------------------------
% 9.21/2.62 % (30587)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.62 % (30587)Termination reason: Unknown
% 9.21/2.62 % (30587)Termination phase: Property scanning
% 9.21/2.62
% 9.21/2.62 % (30587)Memory used [KB]: 1535
% 9.21/2.62 % (30587)Time elapsed: 0.010 s
% 9.21/2.62 % (30587)Instructions burned: 34 (million)
% 9.21/2.62 % (30587)------------------------------
% 9.21/2.62 % (30587)------------------------------
% 9.21/2.63 % (30591)lrs+10_1:1_cnfonf=lazy_simp:sgt=5:sos=on:ss=axioms:i=279:si=on:rtra=on_0 on DTF2THF_29865 for (2989ds/279Mi)
% 9.21/2.65 % (30591)Refutation not found, incomplete strategy
% 9.21/2.65 % (30591)------------------------------
% 9.21/2.65 % (30591)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.21/2.65 % (30591)Termination reason: Refutation not found, incomplete strategy
% 9.21/2.65
% 9.21/2.65
% 9.21/2.65 % (30591)Memory used [KB]: 6268
% 9.21/2.65 % (30591)Time elapsed: 0.018 s
% 9.21/2.65 % (30591)Instructions burned: 64 (million)
% 9.21/2.65 % (30591)------------------------------
% 9.21/2.65 % (30591)------------------------------
% 9.21/2.66 % (30602)lrs+10_8:1_au=on:fde=none:slsq=on:i=258:si=on:rtra=on_0 on DTF2THF_29865 for (2988ds/258Mi)
% 9.29/2.70 % (30584)Instruction limit reached!
% 9.29/2.70 % (30584)------------------------------
% 9.29/2.70 % (30584)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.70 % (30584)Termination reason: Unknown
% 9.29/2.70 % (30584)Termination phase: Saturation
% 9.29/2.70
% 9.29/2.70 % (30584)Memory used [KB]: 6780
% 9.29/2.70 % (30584)Time elapsed: 0.107 s
% 9.29/2.70 % (30584)Instructions burned: 360 (million)
% 9.29/2.70 % (30584)------------------------------
% 9.29/2.70 % (30584)------------------------------
% 9.29/2.71 % (30502)Instruction limit reached!
% 9.29/2.71 % (30502)------------------------------
% 9.29/2.71 % (30502)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.71 % (30502)Termination reason: Unknown
% 9.29/2.71 % (30502)Termination phase: Saturation
% 9.29/2.71
% 9.29/2.71 % (30502)Memory used [KB]: 7931
% 9.29/2.71 % (30502)Time elapsed: 0.349 s
% 9.29/2.71 % (30502)Instructions burned: 1024 (million)
% 9.29/2.71 % (30502)------------------------------
% 9.29/2.71 % (30502)------------------------------
% 9.29/2.71 % (30621)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_29865 for (2988ds/26Mi)
% 9.29/2.72 % (30621)Instruction limit reached!
% 9.29/2.72 % (30621)------------------------------
% 9.29/2.72 % (30621)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.72 % (30621)Termination reason: Unknown
% 9.29/2.72 % (30621)Termination phase: Property scanning
% 9.29/2.72
% 9.29/2.72 % (30621)Memory used [KB]: 1535
% 9.29/2.72 % (30621)Time elapsed: 0.008 s
% 9.29/2.72 % (30621)Instructions burned: 27 (million)
% 9.29/2.72 % (30621)------------------------------
% 9.29/2.72 % (30621)------------------------------
% 9.29/2.72 % (30623)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_29865 for (2988ds/995Mi)
% 9.29/2.73 % (30628)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_29865 for (2988ds/373Mi)
% 9.29/2.73 % (30602)Instruction limit reached!
% 9.29/2.73 % (30602)------------------------------
% 9.29/2.73 % (30602)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.29/2.73 % (30602)Termination reason: Unknown
% 9.29/2.73 % (30602)Termination phase: Saturation
% 9.29/2.73
% 9.29/2.73 % (30602)Memory used [KB]: 7036
% 9.29/2.73 % (30602)Time elapsed: 0.078 s
% 9.29/2.73 % (30602)Instructions burned: 258 (million)
% 9.29/2.73 % (30602)------------------------------
% 9.29/2.73 % (30602)------------------------------
% 9.29/2.74 % (30629)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_29865 for (2987ds/253Mi)
% 9.87/2.82 % (30629)Instruction limit reached!
% 9.87/2.82 % (30629)------------------------------
% 9.87/2.82 % (30629)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.82 % (30629)Termination reason: Unknown
% 9.87/2.82 % (30629)Termination phase: Saturation
% 9.87/2.82
% 9.87/2.82 % (30629)Memory used [KB]: 6652
% 9.87/2.82 % (30629)Time elapsed: 0.098 s
% 9.87/2.82 % (30629)Instructions burned: 253 (million)
% 9.87/2.82 % (30629)------------------------------
% 9.87/2.82 % (30629)------------------------------
% 9.87/2.83 % (30647)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_29865 for (2986ds/832Mi)
% 9.87/2.85 % (30628)Instruction limit reached!
% 9.87/2.85 % (30628)------------------------------
% 9.87/2.85 % (30628)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.85 % (30628)Termination reason: Unknown
% 9.87/2.85 % (30628)Termination phase: Saturation
% 9.87/2.85
% 9.87/2.85 % (30628)Memory used [KB]: 6780
% 9.87/2.85 % (30628)Time elapsed: 0.146 s
% 9.87/2.85 % (30628)Instructions burned: 375 (million)
% 9.87/2.85 % (30628)------------------------------
% 9.87/2.85 % (30628)------------------------------
% 9.87/2.86 % (30659)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_29865 for (2986ds/668Mi)
% 9.87/2.88 % (30528)Instruction limit reached!
% 9.87/2.88 % (30528)------------------------------
% 9.87/2.88 % (30528)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 9.87/2.88 % (30528)Termination reason: Unknown
% 9.87/2.88 % (30528)Termination phase: Saturation
% 9.87/2.88
% 9.87/2.88 % (30528)Memory used [KB]: 8571
% 9.87/2.88 % (30528)Time elapsed: 0.454 s
% 9.87/2.88 % (30528)Instructions burned: 1540 (million)
% 9.87/2.88 % (30528)------------------------------
% 9.87/2.88 % (30528)------------------------------
% 9.87/2.89 % (30672)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_29865 for (2986ds/40Mi)
% 10.54/2.90 % (30672)Instruction limit reached!
% 10.54/2.90 % (30672)------------------------------
% 10.54/2.90 % (30672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.54/2.90 % (30672)Termination reason: Unknown
% 10.54/2.90 % (30672)Termination phase: Property scanning
% 10.54/2.90
% 10.54/2.90 % (30672)Memory used [KB]: 1535
% 10.54/2.90 % (30672)Time elapsed: 0.012 s
% 10.54/2.90 % (30672)Instructions burned: 44 (million)
% 10.54/2.90 % (30672)------------------------------
% 10.54/2.90 % (30672)------------------------------
% 10.54/2.91 % (30683)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_29865 for (2986ds/294Mi)
% 10.54/2.93 % (30683)Refutation not found, incomplete strategy
% 10.54/2.93 % (30683)------------------------------
% 10.54/2.93 % (30683)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.54/2.93 % (30683)Termination reason: Refutation not found, incomplete strategy
% 10.54/2.93
% 10.54/2.93
% 10.54/2.93 % (30683)Memory used [KB]: 6140
% 10.54/2.93 % (30683)Time elapsed: 0.015 s
% 10.54/2.93 % (30683)Instructions burned: 51 (million)
% 10.54/2.93 % (30683)------------------------------
% 10.54/2.93 % (30683)------------------------------
% 10.54/2.94 % (30694)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_29865 for (2985ds/187Mi)
% 10.54/3.00 % (30694)Instruction limit reached!
% 10.54/3.00 % (30694)------------------------------
% 10.54/3.00 % (30694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 10.54/3.00 % (30694)Termination reason: Unknown
% 10.54/3.00 % (30694)Termination phase: Saturation
% 10.54/3.00
% 10.54/3.00 % (30694)Memory used [KB]: 6524
% 10.54/3.00 % (30694)Time elapsed: 0.058 s
% 10.54/3.00 % (30694)Instructions burned: 188 (million)
% 10.54/3.00 % (30694)------------------------------
% 10.54/3.00 % (30694)------------------------------
% 10.54/3.01 % (30740)lrs+1010_2:3_au=on:fsr=off:sd=4:ss=axioms:st=1.5:i=371:si=on:rtra=on_0 on DTF2THF_29865 for (2985ds/371Mi)
% 12.94/3.03 % (30623)Instruction limit reached!
% 12.94/3.03 % (30623)------------------------------
% 12.94/3.03 % (30623)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.94/3.04 % (30623)Termination reason: Unknown
% 12.94/3.04 % (30623)Termination phase: Saturation
% 12.94/3.04
% 12.94/3.04 % (30623)Memory used [KB]: 8059
% 12.94/3.04 % (30623)Time elapsed: 0.333 s
% 12.94/3.04 % (30623)Instructions burned: 995 (million)
% 12.94/3.04 % (30623)------------------------------
% 12.94/3.04 % (30623)------------------------------
% 12.94/3.05 % (30772)dis+1003_1:1_au=on:bd=preordered:fde=none:ixr=off:nwc=10.0:i=1827:si=on:rtra=on_0 on DTF2THF_29865 for (2984ds/1827Mi)
% 12.94/3.07 % (30659)Instruction limit reached!
% 12.94/3.07 % (30659)------------------------------
% 12.94/3.07 % (30659)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.94/3.07 % (30659)Termination reason: Unknown
% 12.94/3.07 % (30659)Termination phase: Saturation
% 12.94/3.07
% 12.94/3.07 % (30659)Memory used [KB]: 13432
% 12.94/3.07 % (30659)Time elapsed: 0.206 s
% 12.94/3.07 % (30659)Instructions burned: 668 (million)
% 12.94/3.07 % (30659)------------------------------
% 12.94/3.07 % (30659)------------------------------
% 12.94/3.08 % (30778)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_29865 for (2984ds/70Mi)
% 12.94/3.08 % (30647)Refutation not found, non-redundant clauses discarded% (30647)------------------------------
% 12.94/3.08 % (30647)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.94/3.08 % (30647)Termination reason: Refutation not found, non-redundant clauses discarded
% 12.94/3.08
% 12.94/3.08 % (30647)Memory used [KB]: 7419
% 12.94/3.08 % (30647)Time elapsed: 0.253 s
% 12.94/3.08 % (30647)Instructions burned: 830 (million)
% 12.94/3.08 % (30647)------------------------------
% 12.94/3.08 % (30647)------------------------------
% 12.94/3.09 % (30781)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_29865 for (2984ds/316Mi)
% 12.94/3.09 % (30778)Instruction limit reached!
% 12.94/3.09 % (30778)------------------------------
% 12.94/3.09 % (30778)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.94/3.09 % (30778)Termination reason: Unknown
% 12.94/3.09 % (30778)Termination phase: Saturation
% 12.94/3.09
% 12.94/3.09 % (30778)Memory used [KB]: 1535
% 12.94/3.09 % (30778)Time elapsed: 0.019 s
% 12.94/3.09 % (30778)Instructions burned: 72 (million)
% 12.94/3.09 % (30778)------------------------------
% 12.94/3.09 % (30778)------------------------------
% 12.94/3.10 % (30787)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_29865 for (2984ds/932Mi)
% 12.94/3.11 % (30781)Refutation not found, incomplete strategy
% 12.94/3.11 % (30781)------------------------------
% 12.94/3.11 % (30781)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 12.94/3.11 % (30781)Termination reason: Refutation not found, incomplete strategy
% 12.94/3.11
% 12.94/3.11
% 12.94/3.11 % (30781)Memory used [KB]: 6268
% 12.94/3.11 % (30781)Time elapsed: 0.022 s
% 12.94/3.11 % (30781)Instructions burned: 82 (million)
% 12.94/3.11 % (30781)------------------------------
% 12.94/3.11 % (30781)------------------------------
% 13.57/3.12 % (30557)Instruction limit reached!
% 13.57/3.12 % (30557)------------------------------
% 13.57/3.12 % (30557)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.12 % (30557)Termination reason: Unknown
% 13.57/3.12 % (30557)Termination phase: Saturation
% 13.57/3.12
% 13.57/3.12 % (30557)Memory used [KB]: 3454
% 13.57/3.12 % (30557)Time elapsed: 0.588 s
% 13.57/3.12 % (30557)Instructions burned: 1915 (million)
% 13.57/3.12 % (30557)------------------------------
% 13.57/3.12 % (30557)------------------------------
% 13.57/3.12 % (30796)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_29865 for (2984ds/4714Mi)
% 13.57/3.13 % (30800)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_29865 for (2983ds/8250Mi)
% 13.57/3.14 % (30796)Refutation not found, incomplete strategy
% 13.57/3.14 % (30796)------------------------------
% 13.57/3.14 % (30796)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.14 % (30796)Termination reason: Refutation not found, incomplete strategy
% 13.57/3.14
% 13.57/3.14
% 13.57/3.14 % (30796)Memory used [KB]: 6268
% 13.57/3.14 % (30796)Time elapsed: 0.023 s
% 13.57/3.14 % (30796)Instructions burned: 85 (million)
% 13.57/3.14 % (30796)------------------------------
% 13.57/3.14 % (30796)------------------------------
% 13.57/3.15 % (30811)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_29865 for (2983ds/770Mi)
% 13.57/3.16 % (30811)Refutation not found, incomplete strategy
% 13.57/3.16 % (30811)------------------------------
% 13.57/3.16 % (30811)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.16 % (30811)Termination reason: Refutation not found, incomplete strategy
% 13.57/3.16
% 13.57/3.16
% 13.57/3.16 % (30811)Memory used [KB]: 5884
% 13.57/3.16 % (30811)Time elapsed: 0.013 s
% 13.57/3.16 % (30811)Instructions burned: 39 (million)
% 13.57/3.16 % (30811)------------------------------
% 13.57/3.16 % (30811)------------------------------
% 13.57/3.17 % (30740)Instruction limit reached!
% 13.57/3.17 % (30740)------------------------------
% 13.57/3.17 % (30740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.57/3.17 % (30740)Termination reason: Unknown
% 13.57/3.17 % (30740)Termination phase: Saturation
% 13.57/3.17
% 13.57/3.17 % (30740)Memory used [KB]: 6652
% 13.57/3.17 % (30740)Time elapsed: 0.153 s
% 13.57/3.17 % (30740)Instructions burned: 373 (million)
% 13.57/3.17 % (30740)------------------------------
% 13.57/3.17 % (30740)------------------------------
% 13.57/3.17 % (30824)ott+1010_5:1_av=off:fe=off:ins=1:kws=precedence:sp=reverse_arity:i=794:si=on:rtra=on_0 on DTF2THF_29865 for (2983ds/794Mi)
% 13.57/3.17 % (30825)dis+1002_1:1_au=on:avsq=on:avsqr=1,16:cond=on:sp=frequency:i=464:si=on:rtra=on_0 on DTF2THF_29865 for (2983ds/464Mi)
% 13.87/3.21 % (30521)Refutation not found, incomplete strategy
% 13.87/3.21 % (30521)------------------------------
% 13.87/3.21 % (30521)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 13.87/3.21 % (30521)Termination reason: Refutation not found, incomplete strategy
% 13.87/3.21
% 13.87/3.21
% 13.87/3.21 % (30521)Memory used [KB]: 10234
% 13.87/3.21 % (30521)Time elapsed: 0.811 s
% 13.87/3.21 % (30521)Instructions burned: 2533 (million)
% 13.87/3.21 % (30521)------------------------------
% 13.87/3.21 % (30521)------------------------------
% 13.87/3.22 % (30837)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_29865 for (2983ds/1376Mi)
% 14.00/3.32 % (30825)Instruction limit reached!
% 14.00/3.32 % (30825)------------------------------
% 14.00/3.32 % (30825)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.00/3.32 % (30825)Termination reason: Unknown
% 14.00/3.32 % (30825)Termination phase: Saturation
% 14.00/3.32
% 14.00/3.32 % (30825)Memory used [KB]: 7036
% 14.00/3.32 % (30825)Time elapsed: 0.145 s
% 14.00/3.32 % (30825)Instructions burned: 464 (million)
% 14.00/3.32 % (30825)------------------------------
% 14.00/3.32 % (30825)------------------------------
% 14.00/3.33 % (30881)dis+10_1:1_etr=on:plsq=on:plsqc=1:plsqr=32,1:i=906:si=on:rtra=on_0 on DTF2THF_29865 for (2981ds/906Mi)
% 14.00/3.39 % (30787)Instruction limit reached!
% 14.00/3.39 % (30787)------------------------------
% 14.00/3.39 % (30787)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.00/3.39 % (30787)Termination reason: Unknown
% 14.00/3.39 % (30787)Termination phase: Saturation
% 14.00/3.39
% 14.00/3.39 % (30787)Memory used [KB]: 7931
% 14.00/3.39 % (30787)Time elapsed: 0.286 s
% 14.00/3.39 % (30787)Instructions burned: 934 (million)
% 14.00/3.39 % (30787)------------------------------
% 14.00/3.39 % (30787)------------------------------
% 14.55/3.40 % (30915)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_29865 for (2981ds/434Mi)
% 14.55/3.42 % (30824)Instruction limit reached!
% 14.55/3.42 % (30824)------------------------------
% 14.55/3.42 % (30824)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.55/3.42 % (30824)Termination reason: Unknown
% 14.55/3.42 % (30824)Termination phase: Saturation
% 14.55/3.42
% 14.55/3.42 % (30824)Memory used [KB]: 4477
% 14.55/3.42 % (30824)Time elapsed: 0.250 s
% 14.55/3.42 % (30824)Instructions burned: 794 (million)
% 14.55/3.42 % (30824)------------------------------
% 14.55/3.42 % (30824)------------------------------
% 14.55/3.43 % (30932)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_29865 for (2980ds/865Mi)
% 14.90/3.53 % (30915)Instruction limit reached!
% 14.90/3.53 % (30915)------------------------------
% 14.90/3.53 % (30915)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.90/3.53 % (30915)Termination reason: Unknown
% 14.90/3.53 % (30915)Termination phase: Saturation
% 14.90/3.53
% 14.90/3.53 % (30915)Memory used [KB]: 6780
% 14.90/3.53 % (30915)Time elapsed: 0.130 s
% 14.90/3.53 % (30915)Instructions burned: 436 (million)
% 14.90/3.53 % (30915)------------------------------
% 14.90/3.53 % (30915)------------------------------
% 14.90/3.54 % (30968)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_29865 for (2979ds/593Mi)
% 14.90/3.60 % (30772)Instruction limit reached!
% 14.90/3.60 % (30772)------------------------------
% 14.90/3.60 % (30772)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 14.90/3.60 % (30772)Termination reason: Unknown
% 14.90/3.60 % (30772)Termination phase: Saturation
% 14.90/3.60
% 14.90/3.60 % (30772)Memory used [KB]: 10362
% 14.90/3.60 % (30772)Time elapsed: 0.551 s
% 14.90/3.60 % (30772)Instructions burned: 1827 (million)
% 14.90/3.60 % (30772)------------------------------
% 14.90/3.60 % (30772)------------------------------
% 15.13/3.61 % (30998)dis+10_1:1_sd=2:sgt=20:slsq=on:ss=axioms:st=6.0:i=443:si=on:rtra=on_0 on DTF2THF_29865 for (2979ds/443Mi)
% 15.13/3.63 % (30837)Instruction limit reached!
% 15.13/3.63 % (30837)------------------------------
% 15.13/3.63 % (30837)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.13/3.63 % (30837)Termination reason: Unknown
% 15.13/3.63 % (30837)Termination phase: Saturation
% 15.13/3.63
% 15.13/3.63 % (30837)Memory used [KB]: 12409
% 15.13/3.63 % (30837)Time elapsed: 0.405 s
% 15.13/3.63 % (30837)Instructions burned: 1377 (million)
% 15.13/3.63 % (30837)------------------------------
% 15.13/3.63 % (30837)------------------------------
% 15.13/3.63 % (30881)Instruction limit reached!
% 15.13/3.63 % (30881)------------------------------
% 15.13/3.63 % (30881)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.13/3.63 % (30881)Termination reason: Unknown
% 15.13/3.63 % (30881)Termination phase: Saturation
% 15.13/3.63
% 15.13/3.63 % (30881)Memory used [KB]: 10490
% 15.13/3.63 % (30881)Time elapsed: 0.299 s
% 15.13/3.63 % (30881)Instructions burned: 908 (million)
% 15.13/3.63 % (30881)------------------------------
% 15.13/3.63 % (30881)------------------------------
% 15.13/3.64 % (31014)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_29865 for (2978ds/594Mi)
% 15.13/3.64 % (31015)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_29865 for (2978ds/327Mi)
% 15.13/3.69 % (30932)Instruction limit reached!
% 15.13/3.69 % (30932)------------------------------
% 15.13/3.69 % (30932)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 15.13/3.69 % (30932)Termination reason: Unknown
% 15.13/3.69 % (30932)Termination phase: Saturation
% 15.13/3.69
% 15.13/3.69 % (30932)Memory used [KB]: 8315
% 15.13/3.69 % (30932)Time elapsed: 0.258 s
% 15.13/3.69 % (30932)Instructions burned: 866 (million)
% 15.13/3.69 % (30932)------------------------------
% 15.13/3.69 % (30932)------------------------------
% 16.80/3.70 % (31024)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_29865 for (2978ds/5411Mi)
% 16.80/3.71 % (30968)Instruction limit reached!
% 16.80/3.71 % (30968)------------------------------
% 16.80/3.71 % (30968)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.80/3.71 % (30968)Termination reason: Unknown
% 16.80/3.71 % (30968)Termination phase: Saturation
% 16.80/3.71
% 16.80/3.71 % (30968)Memory used [KB]: 8315
% 16.80/3.71 % (30968)Time elapsed: 0.178 s
% 16.80/3.71 % (30968)Instructions burned: 596 (million)
% 16.80/3.71 % (30968)------------------------------
% 16.80/3.71 % (30968)------------------------------
% 16.80/3.72 % (31025)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_29865 for (2978ds/1762Mi)
% 16.80/3.74 % (31015)Instruction limit reached!
% 16.80/3.74 % (31015)------------------------------
% 16.80/3.74 % (31015)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.80/3.74 % (31015)Termination reason: Unknown
% 16.80/3.74 % (31015)Termination phase: Saturation
% 16.80/3.74
% 16.80/3.74 % (31015)Memory used [KB]: 6908
% 16.80/3.74 % (31015)Time elapsed: 0.103 s
% 16.80/3.74 % (31015)Instructions burned: 329 (million)
% 16.80/3.74 % (31015)------------------------------
% 16.80/3.74 % (31015)------------------------------
% 16.80/3.75 % (31026)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_29865 for (2977ds/96Mi)
% 16.80/3.77 % (31026)Instruction limit reached!
% 16.80/3.77 % (31026)------------------------------
% 16.80/3.77 % (31026)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.80/3.77 % (31026)Termination reason: Unknown
% 16.80/3.77 % (31026)Termination phase: Saturation
% 16.80/3.77
% 16.80/3.77 % (31026)Memory used [KB]: 6268
% 16.80/3.77 % (31026)Time elapsed: 0.027 s
% 16.80/3.77 % (31026)Instructions burned: 98 (million)
% 16.80/3.77 % (31026)------------------------------
% 16.80/3.77 % (31026)------------------------------
% 16.80/3.78 % (31027)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_29865 for (2977ds/503Mi)
% 16.80/3.80 % (31024)Refutation not found, incomplete strategy
% 16.80/3.80 % (31024)------------------------------
% 16.80/3.80 % (31024)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 16.80/3.80 % (31024)Termination reason: Refutation not found, incomplete strategy
% 16.80/3.80
% 16.80/3.80
% 16.80/3.80 % (31024)Memory used [KB]: 6140
% 16.80/3.80 % (31024)Time elapsed: 0.097 s
% 16.80/3.80 % (31024)Instructions burned: 329 (million)
% 16.80/3.80 % (31024)------------------------------
% 16.80/3.80 % (31024)------------------------------
% 17.33/3.80 % (30998)Instruction limit reached!
% 17.33/3.80 % (30998)------------------------------
% 17.33/3.80 % (30998)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.33/3.80 % (30998)Termination reason: Unknown
% 17.33/3.80 % (30998)Termination phase: Saturation
% 17.33/3.80
% 17.33/3.80 % (30998)Memory used [KB]: 7036
% 17.33/3.80 % (30998)Time elapsed: 0.188 s
% 17.33/3.80 % (30998)Instructions burned: 443 (million)
% 17.33/3.80 % (30998)------------------------------
% 17.33/3.80 % (30998)------------------------------
% 17.33/3.81 % (31028)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_29865 for (2977ds/90Mi)
% 17.33/3.81 % (31029)lrs+10_1:64_hud=5:plsq=on:plsqr=2011171,524288:i=593:si=on:rtra=on_0 on DTF2THF_29865 for (2977ds/593Mi)
% 17.33/3.81 % (31014)Instruction limit reached!
% 17.33/3.81 % (31014)------------------------------
% 17.33/3.81 % (31014)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.33/3.81 % (31014)Termination reason: Unknown
% 17.33/3.81 % (31014)Termination phase: Saturation
% 17.33/3.81
% 17.33/3.81 % (31014)Memory used [KB]: 7036
% 17.33/3.81 % (31014)Time elapsed: 0.178 s
% 17.33/3.81 % (31014)Instructions burned: 597 (million)
% 17.33/3.81 % (31014)------------------------------
% 17.33/3.81 % (31014)------------------------------
% 17.33/3.82 % (31030)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_29865 for (2977ds/1512Mi)
% 17.33/3.82 % (30800)First to succeed.
% 17.33/3.83 % (30800)Refutation found. Thanks to Tanya!
% 17.33/3.83 % SZS status Theorem for DTF2THF_29865
% 17.33/3.83 % SZS output start Proof for DTF2THF_29865
% 17.33/3.83 thf(type_def_5, type, d: $tType).
% 17.33/3.83 thf(type_def_7, type, u: $tType).
% 17.33/3.83 thf(type_def_8, type, du: $tType).
% 17.33/3.83 thf(type_def_9, type, mono_2Etyop_2Enum_2Enum: $tType).
% 17.33/3.83 thf(type_def_10, type, mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType).
% 17.33/3.83 thf(func_def_0, type, u: $tType).
% 17.33/3.83 thf(func_def_1, type, d: $tType).
% 17.33/3.83 thf(func_def_2, type, du: $tType).
% 17.33/3.83 thf(func_def_3, type, mono_2Etyop_2Enum_2Enum: $tType).
% 17.33/3.83 thf(func_def_4, type, mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType).
% 17.33/3.83 thf(func_def_5, type, tyop_2Emin_2Ebool: d).
% 17.33/3.83 thf(func_def_6, type, tyop_2Emin_2Efun: d > d > d).
% 17.33/3.83 thf(func_def_7, type, tyop_2Enum_2Enum: d).
% 17.33/3.83 thf(func_def_8, type, tyop_2Epair_2Eprod: d > d > d).
% 17.33/3.83 thf(func_def_9, type, s: d > u > du).
% 17.33/3.83 thf(func_def_10, type, app_2E2: du > du > u).
% 17.33/3.83 thf(func_def_11, type, combin_i_2E0: u).
% 17.33/3.83 thf(func_def_12, type, combin_k_2E0: u).
% 17.33/3.83 thf(func_def_13, type, combin_s_2E0: u).
% 17.33/3.83 thf(func_def_14, type, c_2Ebool_2E_21_2E0: u).
% 17.33/3.83 thf(func_def_15, type, c_2Ebool_2E_21_2E1: du > u).
% 17.33/3.83 thf(func_def_16, type, c_2Ebool_2E_2F_5C_2E0: u).
% 17.33/3.83 thf(func_def_17, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
% 17.33/3.83 thf(func_def_18, type, c_2Emin_2E_3D_2E0: u).
% 17.33/3.83 thf(func_def_19, type, c_2Emin_2E_3D_2E2: du > du > u).
% 17.33/3.83 thf(func_def_20, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 17.33/3.83 thf(func_def_21, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
% 17.33/3.83 thf(func_def_22, type, c_2Ebool_2E_3F_2E0: u).
% 17.33/3.83 thf(func_def_23, type, c_2Ebool_2E_3F_2E1: du > u).
% 17.33/3.83 thf(func_def_24, type, c_2Epred__set_2EBIJ_2E0: u).
% 17.33/3.83 thf(func_def_25, type, c_2Epred__set_2EBIJ_2E3: du > du > du > u).
% 17.33/3.83 thf(func_def_26, type, c_2Epred__set_2ECROSS_2E0: u).
% 17.33/3.83 thf(func_def_27, type, c_2Epred__set_2ECROSS_2E2: du > du > u).
% 17.33/3.83 thf(func_def_28, type, c_2Ebool_2EF_2E0: u).
% 17.33/3.83 thf(func_def_29, type, c_2Ebool_2ET_2E0: u).
% 17.33/3.83 thf(func_def_30, type, c_2Epred__set_2EUNIV_2E0: u).
% 17.33/3.83 thf(func_def_31, type, c_2Ebool_2E_5C_2F_2E0: u).
% 17.33/3.83 thf(func_def_32, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
% 17.33/3.83 thf(func_def_33, type, c_2Ebool_2E_7E_2E0: u).
% 17.33/3.83 thf(func_def_34, type, c_2Ebool_2E_7E_2E1: du > u).
% 17.33/3.83 thf(func_def_35, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
% 17.33/3.83 thf(func_def_36, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
% 17.33/3.83 thf(func_def_37, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ((mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_38, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_39, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_40, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_41, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_42, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_43, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_44, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_45, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
% 17.33/3.83 thf(func_def_46, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 17.33/3.83 thf(func_def_47, type, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_48, type, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_49, type, mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_52, type, mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > $o).
% 17.33/3.83 thf(func_def_53, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
% 17.33/3.83 thf(func_def_54, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
% 17.33/3.83 thf(func_def_55, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
% 17.33/3.83 thf(func_def_56, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
% 17.33/3.83 thf(func_def_57, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
% 17.33/3.83 thf(func_def_58, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Enum_2Enum > $o) > $o) > u).
% 17.33/3.83 thf(func_def_59, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: ((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u).
% 17.33/3.83 thf(func_def_60, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u).
% 17.33/3.83 thf(func_def_61, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u).
% 17.33/3.83 thf(func_def_62, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u).
% 17.33/3.83 thf(func_def_63, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u).
% 17.33/3.83 thf(func_def_64, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > u).
% 17.33/3.83 thf(func_def_65, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > u).
% 17.33/3.83 thf(func_def_66, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > $o) > u).
% 17.33/3.83 thf(func_def_67, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > u).
% 17.33/3.83 thf(func_def_68, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u).
% 17.33/3.83 thf(func_def_69, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > u).
% 17.33/3.83 thf(func_def_70, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
% 17.33/3.83 thf(func_def_71, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
% 17.33/3.83 thf(func_def_72, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
% 17.33/3.83 thf(func_def_73, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_74, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: du > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_75, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_76, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: du > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_77, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_78, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o).
% 17.33/3.83 thf(func_def_79, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_80, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o).
% 17.33/3.83 thf(func_def_81, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o).
% 17.33/3.83 thf(func_def_82, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29).
% 17.33/3.83 thf(func_def_83, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o).
% 17.33/3.83 thf(func_def_84, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum).
% 17.33/3.83 thf(func_def_93, type, sP0: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_94, type, sP1: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_95, type, sP2: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_96, type, sP3: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_97, type, sP4: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_98, type, sP5: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_99, type, sP6: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_100, type, sP7: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_101, type, sP8: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_102, type, sP9: $o > $o > $o > $o).
% 17.33/3.83 thf(func_def_103, type, sK10: u > d > u).
% 17.33/3.83 thf(func_def_104, type, sK11: u > $o > d > u).
% 17.33/3.83 thf(func_def_105, type, sK12: u > u > d > d > u).
% 17.33/3.83 thf(func_def_106, type, sK13: $o > u > d > u).
% 17.33/3.83 thf(func_def_107, type, sK14: u > d > u).
% 17.33/3.83 thf(func_def_108, type, sK15: d > u > u).
% 17.33/3.83 thf(func_def_109, type, sK16: d > u > $o > u).
% 17.33/3.83 thf(func_def_110, type, sK17: mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum).
% 17.33/3.83 thf(func_def_111, type, sK18: u > u > d > d > u).
% 17.33/3.83 thf(func_def_112, type, sK19: u > u > d > d > u).
% 17.33/3.83 thf(func_def_113, type, sK20: u > d > d > u).
% 17.33/3.83 thf(func_def_114, type, sK21: u > d > d > u).
% 17.33/3.83 thf(func_def_115, type, sK22: u > d > u).
% 17.33/3.83 thf(func_def_116, type, sK23: u > d > u).
% 17.33/3.83 thf(func_def_117, type, sK24: u > d > $o > u).
% 17.33/3.83 thf(func_def_118, type, sK25: d > u > d > u > u).
% 17.33/3.83 thf(func_def_119, type, sK26: d > u > d > u > u).
% 17.33/3.83 thf(func_def_120, type, sK27: d > u > u).
% 17.33/3.83 thf(func_def_121, type, sK28: u > d > u).
% 17.33/3.83 thf(func_def_122, type, sK29: u > d > $o > u).
% 17.33/3.83 thf(func_def_123, type, sK30: d > u > $o > u).
% 17.33/3.83 thf(func_def_124, type, sK31: d > u > u).
% 17.33/3.83 thf(func_def_125, type, sK32: u > d > u).
% 17.33/3.83 thf(func_def_126, type, sK33: u > d > $o > u).
% 17.33/3.83 thf(func_def_127, type, sK34: u > d > u).
% 17.33/3.83 thf(func_def_128, type, sK35: u > d > u).
% 17.33/3.83 thf(func_def_129, type, sK36: u > d > $o > u).
% 17.33/3.83 thf(func_def_131, type, sK38: u > d > u).
% 17.33/3.83 thf(func_def_132, type, ph39: !>[X0: $tType]:(X0)).
% 17.33/3.83 thf(f5723,plain,(
% 17.33/3.83 $false),
% 17.33/3.83 inference(avatar_sat_refutation,[status(thm)],[f1016,f1867,f5336,f5722])).
% 17.33/3.83 thf(f5722,plain,(
% 17.33/3.83 ~spl37_25),
% 17.33/3.83 inference(avatar_contradiction_clause,[status(thm)],[f5721])).
% 17.33/3.83 thf(f5721,plain,(
% 17.33/3.83 $false | ~spl37_25),
% 17.33/3.83 inference(trivial_inequality_removal,[status(thm)],[f5720])).
% 17.33/3.83 thf(f5720,plain,(
% 17.33/3.83 ($true = $false) | ~spl37_25),
% 17.33/3.83 inference(duplicate_literal_removal,[status(thm)],[f5715])).
% 17.33/3.83 thf(f5715,plain,(
% 17.33/3.83 ($true = $false) | ($true = $false) | ~spl37_25),
% 17.33/3.83 inference(superposition,[status(thm)],[f857,f1811])).
% 17.33/3.83 thf(f1811,plain,(
% 17.33/3.83 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))) = $true) | ~spl37_25),
% 17.33/3.83 inference(avatar_component_clause,[status(thm)],[f1810])).
% 17.33/3.83 thf(f1810,definition,(
% 17.33/3.83 spl37_25 <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))) = $true)),
% 17.33/3.83 introduced(definition,[new_symbols(naming,[spl37_25])],[avatar_definition])).
% 17.33/3.83 thf(f857,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (($false = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) | ($true = X0)) )),
% 17.33/3.83 inference(binary_proxy_clausification,[status(thm)],[f669])).
% 17.33/3.83 thf(f669,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0))) = X0)) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f237])).
% 17.33/3.83 thf(f237,plain,(
% 17.33/3.83 ! [X0 : $o] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0))) = X0)),
% 17.33/3.83 inference(rectify,[status(thm)],[f27])).
% 17.33/3.83 thf(f27,axiom,(
% 17.33/3.83 ! [X8 : $o] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X8))) = X8)),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',ji_2Emono_2Etyop_2Emin_2Ebool)).
% 17.33/3.83 thf(f5336,plain,(
% 17.33/3.83 spl37_25 | ~spl37_5 | ~spl37_13),
% 17.33/3.83 inference(avatar_split_clause,[status(thm)],[f5335,f1756,f945,f1810])).
% 17.33/3.83 thf(f945,definition,(
% 17.33/3.83 spl37_5 <=> ! [X0 : $o] : (($false = X0) | ($true = X0))),
% 17.33/3.83 introduced(definition,[new_symbols(naming,[spl37_5])],[avatar_definition])).
% 17.33/3.83 thf(f1756,definition,(
% 17.33/3.83 spl37_13 <=> ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) = $true)),
% 17.33/3.83 introduced(definition,[new_symbols(naming,[spl37_13])],[avatar_definition])).
% 17.33/3.83 thf(f5335,plain,(
% 17.33/3.83 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))) = $true) | (~spl37_5 | ~spl37_13)),
% 17.33/3.83 inference(forward_demodulation,[status(thm)],[f5334,f1054])).
% 17.33/3.83 thf(f1054,plain,(
% 17.33/3.83 ( ! [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)) = $false)) ) | ~spl37_5),
% 17.33/3.83 inference(trivial_inequality_removal,[status(thm)],[f1034])).
% 17.33/3.83 thf(f1034,plain,(
% 17.33/3.83 ( ! [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (($true != $true) | ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)) = $false)) ) | ~spl37_5),
% 17.33/3.83 inference(superposition,[status(thm)],[f510,f946])).
% 17.33/3.83 thf(f946,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) ) | ~spl37_5),
% 17.33/3.83 inference(avatar_component_clause,[status(thm)],[f945])).
% 17.33/3.83 thf(f510,plain,(
% 17.33/3.83 ( ! [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (($true != (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f255])).
% 17.33/3.83 thf(f255,plain,(
% 17.33/3.83 ! [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ($true != (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))),
% 17.33/3.83 inference(ennf_transformation,[status(thm)],[f169])).
% 17.33/3.83 thf(f169,plain,(
% 17.33/3.83 ~? [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : ($true = (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))),
% 17.33/3.83 inference(fool_elimination,[status(thm)],[f168])).
% 17.33/3.83 thf(f168,plain,(
% 17.33/3.83 ~? [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 17.33/3.83 inference(rectify,[status(thm)],[f106])).
% 17.33/3.83 thf(f106,negated_conjecture,(
% 17.33/3.83 ~? [X43 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X43 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 17.33/3.83 inference(negated_conjecture,[status(cth)],[f105])).
% 17.33/3.83 thf(f105,conjecture,(
% 17.33/3.83 ? [X43 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X43 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 17.33/3.83 thf(f5334,plain,(
% 17.33/3.83 ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)) @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))))) | ~spl37_13),
% 17.33/3.83 inference(subsumption_resolution,[status(thm)],[f5327,f1757])).
% 17.33/3.83 thf(f1757,plain,(
% 17.33/3.83 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) = $true) | ~spl37_13),
% 17.33/3.83 inference(avatar_component_clause,[status(thm)],[f1756])).
% 17.33/3.83 thf(f5327,plain,(
% 17.33/3.83 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)) @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))))))),
% 17.33/3.83 inference(superposition,[status(thm)],[f5305,f516])).
% 17.33/3.83 thf(f516,plain,(
% 17.33/3.83 ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) = $true)),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f326])).
% 17.33/3.83 thf(f326,plain,(
% 17.33/3.83 ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) = $true)),
% 17.33/3.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f171,f325])).
% 17.33/3.83 thf(f325,plain,(
% 17.33/3.83 ? [X0 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) = $true) => ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK17 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) = $true)),
% 17.33/3.83 introduced(definition,[],[choice_axiom])).
% 17.33/3.83 thf(f171,plain,(
% 17.33/3.83 ? [X0 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) = $true)),
% 17.33/3.83 inference(fool_elimination,[status(thm)],[f170])).
% 17.33/3.83 thf(f170,plain,(
% 17.33/3.83 ? [X0 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)),
% 17.33/3.83 inference(rectify,[status(thm)],[f104])).
% 17.33/3.83 thf(f104,axiom,(
% 17.33/3.83 ? [X43 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X43 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 17.33/3.83 thf(f5305,plain,(
% 17.33/3.83 ( ! [X2 : mono_2Etyop_2Enum_2Enum > $o,X0 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2)))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1) @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2)))) @ X2 @ X1)))))) )),
% 17.33/3.83 inference(forward_demodulation,[status(thm)],[f1447,f1230])).
% 17.33/3.83 thf(f1230,plain,(
% 17.33/3.83 ( ! [X2 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X0 : u,X1 : mono_2Etyop_2Enum_2Enum > $o] : (((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2)))) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0)) @ X1 @ X2))))) )),
% 17.33/3.83 inference(superposition,[status(thm)],[f493,f650])).
% 17.33/3.83 thf(f650,plain,(
% 17.33/3.83 ( ! [X0 : u] : (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0)))))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f196])).
% 17.33/3.83 thf(f196,plain,(
% 17.33/3.83 ! [X0 : u] : ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0)))))),
% 17.33/3.83 inference(rectify,[status(thm)],[f24])).
% 17.33/3.83 thf(f24,axiom,(
% 17.33/3.83 ! [X10 : u] : ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X10) = (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X10)))))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)).
% 17.33/3.83 thf(f493,plain,(
% 17.33/3.83 ( ! [X2 : mono_2Etyop_2Enum_2Enum > $o,X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] : (((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1)))) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X2 @ X1))))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f231])).
% 17.33/3.83 thf(f231,plain,(
% 17.33/3.83 ! [X0 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X2 : mono_2Etyop_2Enum_2Enum > $o] : ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1)))) = (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X2 @ X1))))),
% 17.33/3.83 inference(rectify,[status(thm)],[f58])).
% 17.33/3.83 thf(f58,axiom,(
% 17.33/3.83 ! [X8 : mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,X16 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X9 : mono_2Etyop_2Enum_2Enum > $o] : ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X8 @ X9 @ X16))) = (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X8)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X9)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X16)))))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
% 17.33/3.83 thf(f1447,plain,(
% 17.33/3.83 ( ! [X2 : mono_2Etyop_2Enum_2Enum > $o,X0 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2)))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1) @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1))))))) )),
% 17.33/3.83 inference(superposition,[status(thm)],[f571,f506])).
% 17.33/3.83 thf(f506,plain,(
% 17.33/3.83 ( ! [X2 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o,X0 : mono_2Etyop_2Enum_2Enum > $o,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X1 @ X2 @ X0))) = (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)))))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f229])).
% 17.33/3.83 thf(f229,plain,(
% 17.33/3.83 ! [X0 : mono_2Etyop_2Enum_2Enum > $o,X1 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] : ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X1 @ X2 @ X0))) = (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)))))),
% 17.33/3.83 inference(rectify,[status(thm)],[f60])).
% 17.33/3.83 thf(f60,axiom,(
% 17.33/3.83 ! [X16 : mono_2Etyop_2Enum_2Enum > $o,X8 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum,X9 : mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o] : ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X8 @ X9 @ X16))) = (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X8)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X9)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X16)))))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum)).
% 17.33/3.83 thf(f571,plain,(
% 17.33/3.83 ( ! [X2 : u,X3 : d,X0 : u,X1 : d,X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) != $true) | ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ (sK25 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f366])).
% 17.33/3.83 thf(f366,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : ((($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ (sK25 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2))))) | ! [X5 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) != $true)) & (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ (sK26 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0))))) | ! [X7 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) != $true)))),
% 17.33/3.83 inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f363,f365,f364])).
% 17.33/3.83 thf(f364,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : (? [X4 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) = $true) => ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ (sK25 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2))))))),
% 17.33/3.83 introduced(definition,[],[choice_axiom])).
% 17.33/3.83 thf(f365,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : (? [X6 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) = $true) => ($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ (sK26 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0))))))),
% 17.33/3.83 introduced(definition,[],[choice_axiom])).
% 17.33/3.83 thf(f363,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : ((? [X4 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) = $true) | ! [X5 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) != $true)) & (? [X6 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X6) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) = $true) | ! [X7 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X7) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) != $true)))),
% 17.33/3.83 inference(rectify,[status(thm)],[f362])).
% 17.33/3.83 thf(f362,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : ((? [X4 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) = $true) | ! [X5 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) != $true)) & (? [X5 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) = $true) | ! [X4 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) != $true)))),
% 17.33/3.83 inference(nnf_transformation,[status(thm)],[f149])).
% 17.33/3.83 thf(f149,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : (? [X4 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) = $true) <=> ? [X5 : u] : ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))) = $true))),
% 17.33/3.83 inference(fool_elimination,[status(thm)],[f148])).
% 17.33/3.83 thf(f148,plain,(
% 17.33/3.83 ! [X0 : u,X1 : d,X2 : u,X3 : d] : (? [X4 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2)))) <=> ? [X5 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X0)))))),
% 17.33/3.83 inference(rectify,[status(thm)],[f93])).
% 17.33/3.83 thf(f93,axiom,(
% 17.33/3.83 ! [X33 : u,X0 : d,X32 : u,X1 : d] : (? [X35 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X35) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X33) @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ X32)))) <=> ? [X34 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X34) @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ X32) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X33)))))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Epred__set_2EBIJ__SYM)).
% 17.33/3.83 thf(f1867,plain,(
% 17.33/3.83 spl37_13),
% 17.33/3.83 inference(avatar_contradiction_clause,[status(thm)],[f1866])).
% 17.33/3.83 thf(f1866,plain,(
% 17.33/3.83 $false | spl37_13),
% 17.33/3.83 inference(trivial_inequality_removal,[status(thm)],[f1864])).
% 17.33/3.83 thf(f1864,plain,(
% 17.33/3.83 ($true != $true) | ($true = $false) | spl37_13),
% 17.33/3.83 inference(superposition,[status(thm)],[f1758,f856])).
% 17.33/3.83 thf(f856,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (($true = (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) | ($false = X0)) )),
% 17.33/3.83 inference(binary_proxy_clausification,[status(thm)],[f669])).
% 17.33/3.83 thf(f1758,plain,(
% 17.33/3.83 ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true))) != $true) | spl37_13),
% 17.33/3.83 inference(avatar_component_clause,[status(thm)],[f1756])).
% 17.33/3.83 thf(f1016,plain,(
% 17.33/3.83 spl37_5),
% 17.33/3.83 inference(avatar_split_clause,[status(thm)],[f796,f945])).
% 17.33/3.83 thf(f796,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (($false = X0) | ($true = X0)) )),
% 17.33/3.83 inference(not_proxy_clausification,[status(thm)],[f635])).
% 17.33/3.83 thf(f635,plain,(
% 17.33/3.83 ( ! [X0 : $o] : (($true = X0) | ($true = (~ X0))) )),
% 17.33/3.83 inference(cnf_transformation,[status(thm)],[f399])).
% 17.33/3.83 thf(f399,plain,(
% 17.33/3.83 ! [X0 : $o] : (((mono_2Ec_2Ebool_2ET = $true) | (($true = X0) & ($true != X0))) & (($true != X0) | ($true = X0) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET != $true) | ($true = X0) | ($true != X0)) & (($true = X0) | ((mono_2Ec_2Ebool_2ET = $true) & ($true != X0))) & (($true = X0) | (mono_2Ec_2Ebool_2EF != $true) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | (($true != X0) & (mono_2Ec_2Ebool_2EF = $true))) & ((mono_2Ec_2Ebool_2ET = $true) | ((mono_2Ec_2Ebool_2ET != $true) & ($true = X0))) & ((mono_2Ec_2Ebool_2ET = $true) | ($true != X0) | (mono_2Ec_2Ebool_2ET != $true)) & (($true = (~ X0)) | (($true = X0) & (mono_2Ec_2Ebool_2EF != $true))) & (($true != X0) | (mono_2Ec_2Ebool_2EF = $true) | ($true != (~ X0))))),
% 17.33/3.83 inference(flattening,[status(thm)],[f398])).
% 17.33/3.83 thf(f398,plain,(
% 17.33/3.83 ! [X0 : $o] : ((((mono_2Ec_2Ebool_2ET = $true) | (($true = X0) & ($true != X0))) & ((($true != X0) | ($true = X0)) | (mono_2Ec_2Ebool_2ET != $true))) & ((((mono_2Ec_2Ebool_2ET != $true) | ($true = X0)) | ($true != X0)) & (($true = X0) | ((mono_2Ec_2Ebool_2ET = $true) & ($true != X0)))) & (((($true = X0) | (mono_2Ec_2Ebool_2EF != $true)) | (mono_2Ec_2Ebool_2ET != $true)) & ((mono_2Ec_2Ebool_2ET = $true) | (($true != X0) & (mono_2Ec_2Ebool_2EF = $true)))) & (((mono_2Ec_2Ebool_2ET = $true) | ((mono_2Ec_2Ebool_2ET != $true) & ($true = X0))) & (((mono_2Ec_2Ebool_2ET = $true) | ($true != X0)) | (mono_2Ec_2Ebool_2ET != $true))) & ((($true = (~ X0)) | (($true = X0) & (mono_2Ec_2Ebool_2EF != $true))) & ((($true != X0) | (mono_2Ec_2Ebool_2EF = $true)) | ($true != (~ X0)))))),
% 17.33/3.83 inference(nnf_transformation,[status(thm)],[f251])).
% 17.33/3.83 thf(f251,plain,(
% 17.33/3.83 ! [X0 : $o] : (((mono_2Ec_2Ebool_2ET = $true) <=> (($true != X0) | ($true = X0))) & (((mono_2Ec_2Ebool_2ET != $true) | ($true = X0)) <=> ($true = X0)) & ((($true = X0) | (mono_2Ec_2Ebool_2EF != $true)) <=> (mono_2Ec_2Ebool_2ET = $true)) & ((mono_2Ec_2Ebool_2ET = $true) <=> ((mono_2Ec_2Ebool_2ET = $true) | ($true != X0))) & (($true = (~ X0)) <=> (($true != X0) | (mono_2Ec_2Ebool_2EF = $true))))),
% 17.33/3.83 inference(ennf_transformation,[status(thm)],[f151])).
% 17.33/3.83 thf(f151,plain,(
% 17.33/3.83 ! [X0 : $o] : (((mono_2Ec_2Ebool_2ET = $true) <=> (($true = X0) => ($true = X0))) & (((mono_2Ec_2Ebool_2ET = $true) => ($true = X0)) <=> ($true = X0)) & (($true = (~ X0)) <=> (($true = X0) => (mono_2Ec_2Ebool_2EF = $true))) & ((mono_2Ec_2Ebool_2ET = $true) <=> (($true = X0) => (mono_2Ec_2Ebool_2ET = $true))) & (((mono_2Ec_2Ebool_2EF = $true) => ($true = X0)) <=> (mono_2Ec_2Ebool_2ET = $true)))),
% 17.33/3.83 inference(fool_elimination,[status(thm)],[f150])).
% 17.33/3.83 thf(f150,plain,(
% 17.33/3.83 ! [X0 : $o] : (((X0 => X0) <=> mono_2Ec_2Ebool_2ET) & (mono_2Ec_2Ebool_2ET <=> (X0 => mono_2Ec_2Ebool_2ET)) & ((~ X0) <=> (X0 => mono_2Ec_2Ebool_2EF)) & (mono_2Ec_2Ebool_2ET <=> (mono_2Ec_2Ebool_2EF => X0)) & (X0 <=> (mono_2Ec_2Ebool_2ET => X0)))),
% 17.33/3.83 inference(rectify,[status(thm)],[f78])).
% 17.33/3.83 thf(f78,axiom,(
% 17.33/3.83 ! [X19 : $o] : (((X19 => X19) <=> mono_2Ec_2Ebool_2ET) & (mono_2Ec_2Ebool_2ET <=> (X19 => mono_2Ec_2Ebool_2ET)) & ((~ X19) <=> (X19 => mono_2Ec_2Ebool_2EF)) & (mono_2Ec_2Ebool_2ET <=> (mono_2Ec_2Ebool_2EF => X19)) & (X19 <=> (mono_2Ec_2Ebool_2ET => X19)))),
% 17.33/3.83 file('/export/starexec/sandbox2/tmp/tmp.Du1IlhiPwd/DTF2THF_29865.p',thm_2Ebool_2EIMP__CLAUSES)).
% 17.33/3.83 % SZS output end Proof for DTF2THF_29865
% 17.33/3.83 % (30800)------------------------------
% 17.33/3.83 % (30800)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 17.33/3.83 % (30800)Termination reason: Refutation
% 17.33/3.83
% 17.33/3.83 % (30800)Memory used [KB]: 11385
% 17.33/3.83 % (30800)Time elapsed: 0.700 s
% 17.33/3.83 % (30800)Instructions burned: 2291 (million)
% 17.33/3.83 % (30800)------------------------------
% 17.33/3.83 % (30800)------------------------------
% 17.33/3.83 % (30200)Success in time 2.305 s
%------------------------------------------------------------------------------