%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : ITP013^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Feb 25 08:53:32 AM UTC 2026
% Result : Theorem 2.36s 2.00s
% Output : Refutation 2.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 82 ( 44 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1270 ( 10 ~; 0 |; 12 &;1243 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 84 ( 81 usr; 29 con; 0-4 aty)
% Number of variables : 84 ( 0 ^; 75 !; 9 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $tType ).
thf(type_def_9,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(func_def_0,type,
u: $tType ).
thf(func_def_1,type,
d: $tType ).
thf(func_def_2,type,
du: $tType ).
thf(func_def_3,type,
mono_2Etyop_2Enum_2Enum: $tType ).
thf(func_def_4,type,
tyop_2Efcp_2Ecart: d > d > d ).
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,
s: d > u > du ).
thf(func_def_9,type,
app_2E2: du > du > u ).
thf(func_def_10,type,
combin_i_2E0: u ).
thf(func_def_11,type,
combin_k_2E0: u ).
thf(func_def_12,type,
combin_s_2E0: u ).
thf(func_def_13,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_14,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_15,type,
c_2Earithmetic_2E_2B_2E0: u ).
thf(func_def_16,type,
c_2Earithmetic_2E_2B_2E2: du > du > u ).
thf(func_def_17,type,
c_2Earithmetic_2E_2D_2E0: u ).
thf(func_def_18,type,
c_2Earithmetic_2E_2D_2E2: du > du > u ).
thf(func_def_19,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_20,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_21,type,
c_2Earithmetic_2E_3C_3D_2E0: u ).
thf(func_def_22,type,
c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
thf(func_def_23,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_24,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_25,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_26,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_27,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_28,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_29,type,
c_2Ebool_2ECOND_2E0: u ).
thf(func_def_30,type,
c_2Ebool_2ECOND_2E3: du > du > du > u ).
thf(func_def_31,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_32,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_33,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_34,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_35,type,
c_2Ewords_2En2w_2E0: u ).
thf(func_def_36,type,
c_2Ewords_2En2w_2E1: du > u ).
thf(func_def_37,type,
c_2Ewords_2Eword__2comp_2E0: u ).
thf(func_def_38,type,
c_2Ewords_2Eword__2comp_2E1: du > u ).
thf(func_def_39,type,
c_2Ewords_2Eword__add_2E0: u ).
thf(func_def_40,type,
c_2Ewords_2Eword__add_2E2: du > du > u ).
thf(func_def_41,type,
c_2Ewords_2Eword__sub_2E0: u ).
thf(func_def_42,type,
c_2Ewords_2Eword__sub_2E2: du > du > u ).
thf(func_def_43,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_44,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_45,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_46,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_47,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_48,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_49,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_50,type,
mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_51,type,
mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_52,type,
mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_53,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_54,type,
mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_55,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_58,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_59,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_60,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_61,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_62,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_63,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_64,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
thf(func_def_65,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_66,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
thf(func_def_67,type,
i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
thf(func_def_68,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_69,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_70,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_71,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_72,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
thf(func_def_73,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_74,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
thf(func_def_75,type,
j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
thf(func_def_80,type,
sK0:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_81,type,
sK1:
!>[X0: $tType] : ( ( X0 > $o ) > X0 ) ).
thf(func_def_88,type,
sK2: u > d > u ).
thf(func_def_89,type,
sK3: u > d > u ).
thf(func_def_90,type,
sK4: d > u > d > u > u ).
thf(func_def_91,type,
sK5: mono_2Etyop_2Enum_2Enum ).
thf(func_def_92,type,
sK6: mono_2Etyop_2Enum_2Enum ).
thf(func_def_93,type,
sK7: d ).
thf(func_def_95,type,
ph9:
!>[X0: $tType] : X0 ).
thf(f879,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f842]) ).
thf(f842,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f378,f562]) ).
thf(f562,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f276,f495]) ).
thf(f495,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) ),
inference(superposition,[status(thm)],[f395,f472]) ).
thf(f472,plain,
! [X0: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK5 @ sK6 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) ) ) ) ),
inference(superposition,[status(thm)],[f344,f377]) ).
thf(f377,plain,
( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6 ) ),
inference(cnf_transformation,[status(thm)],[f270]) ).
thf(f270,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f268,f269]) ).
thf(f269,plain,
( ? [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: d] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0 ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1 ) ) )
=> ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f268,plain,
? [X0: mono_2Etyop_2Enum_2Enum,X1: mono_2Etyop_2Enum_2Enum,X2: d] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X1 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0 ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1 ) ) ),
inference(rectify,[status(thm)],[f209]) ).
thf(f209,plain,
? [X0: mono_2Etyop_2Enum_2Enum,X2: mono_2Etyop_2Enum_2Enum,X1: d] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0 ) ) ) ) ) )
& ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2 ) ) ),
inference(ennf_transformation,[status(thm)],[f177]) ).
thf(f177,plain,
~ ! [X1: d,X2: mono_2Etyop_2Enum_2Enum,X0: mono_2Etyop_2Enum_2Enum] :
( ( $true
= ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2 ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0 ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f176]) ).
thf(f176,plain,
~ ! [X0: mono_2Etyop_2Enum_2Enum,X1: d,X2: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0 ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f64]) ).
thf(f64,negated_conjecture,
~ ! [X41: mono_2Etyop_2Enum_2Enum,X0: d,X40: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X41 @ X40 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X40 @ X41 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X40 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X41 ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f63]) ).
thf(f63,conjecture,
! [X41: mono_2Etyop_2Enum_2Enum,X0: d,X40: mono_2Etyop_2Enum_2Enum] :
( ( mono_2Ec_2Earithmetic_2E_3C_3D @ X41 @ X40 )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X40 @ X41 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X40 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X41 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2En2w__sub) ).
thf(f344,plain,
! [X1: d,X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X4 @ X5 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X5 @ X4 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X4 @ X5 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
thf(f248,plain,
! [X0: d,X1: d] :
( ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X2 @ X3 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) ) ) ) ) )
& ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X4 @ X5 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X5 @ X4 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X4 @ X5 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f165]) ).
thf(f165,plain,
! [X1: d,X0: d] :
( ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X4 @ X5 ) ) ) ) ) ) ) )
& ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X3 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f164]) ).
thf(f164,plain,
! [X0: d,X1: d] :
( ! [X2: mono_2Etyop_2Enum_2Enum,X3: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X3 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3 ) ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X3 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X2 ) ) ) ) ) ) ) ) )
& ! [X4: mono_2Etyop_2Enum_2Enum,X5: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X4 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X5 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X4 @ X5 ) ) ) ) ) ) ) ) ),
inference(rectify,[status(thm)],[f62]) ).
thf(f62,axiom,
! [X1: d,X0: d] :
( ! [X39: mono_2Etyop_2Enum_2Enum,X38: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X38 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X39 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ X39 @ X38 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X38 @ X39 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ X39 @ X38 ) ) ) ) ) ) ) ) ) )
& ! [X36: mono_2Etyop_2Enum_2Enum,X37: mono_2Etyop_2Enum_2Enum] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X36 ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X37 ) ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ X36 @ X37 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
thf(f395,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ $true ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ),
inference(definition_unfolding,[status(thm)],[f317,f311]) ).
thf(f311,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(cnf_transformation,[status(thm)],[f107]) ).
thf(f107,plain,
mono_2Ec_2Ebool_2ET = $true,
inference(fool_elimination,[status(thm)],[f106]) ).
thf(f106,plain,
mono_2Ec_2Ebool_2ET,
inference(rectify,[status(thm)],[f52]) ).
thf(f52,axiom,
mono_2Ec_2Ebool_2ET,
file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ebool_2ETRUTH) ).
thf(f317,plain,
! [X3: u,X0: d,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
thf(f73,plain,
! [X0: d] :
( ! [X1: u,X2: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
= ( s @ X0 @ X1 ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f72]) ).
thf(f72,plain,
! [X0: d] :
( ! [X1: u,X2: u] :
( ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X2 ) @ ( s @ X0 @ X1 ) ) )
= ( s @ X0 @ X1 ) )
& ! [X3: u,X4: u] :
( ( s @ X0 @ X4 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X4 ) @ ( s @ X0 @ X3 ) ) ) ) ),
inference(rectify,[status(thm)],[f60]) ).
thf(f60,axiom,
! [X0: d] :
( ! [X33: u,X32: u] :
( ( s @ X0 @ X33 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ X0 @ X32 ) @ ( s @ X0 @ X33 ) ) ) )
& ! [X31: u,X30: u] :
( ( s @ X0 @ X30 )
= ( s @ X0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ X0 @ X30 ) @ ( s @ X0 @ X31 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ebool_2Ebool__case__thm) ).
thf(f276,plain,
! [X2: u,X0: u,X1: d] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
thf(f77,plain,
! [X0: u,X1: d,X2: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) ) ) ) ),
inference(fool_elimination,[status(thm)],[f76]) ).
thf(f76,plain,
! [X0: u,X1: d,X2: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X2 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1 ) @ X0 ) ) ) ) ) ),
inference(rectify,[status(thm)],[f61]) ).
thf(f61,axiom,
! [X35: u,X0: d,X34: u] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X34 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X35 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X34 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0 ) @ X35 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2Eword__sub__def) ).
thf(f378,plain,
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK6 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ sK5 ) ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5 ) ) ) ) ) ),
inference(cnf_transformation,[status(thm)],[f270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ITP013^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n021.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 08:20:23 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.47 ---- Original DTF file ---
% 0.31/0.48 thf(spec,logic,$$dhol).
% 0.31/0.48 %------------------------------------------------------------------------------
% 0.31/0.48 % File : ITP013^1 : TPTP v9.2.1. Bugfixed v7.5.0.
% 0.31/0.48 % Domain : Interactive Theorem Proving
% 0.31/0.48 % Problem : HOL4 syntactic export of thm_2Ewords_2En2w__sub.p, bushy mode
% 0.31/0.48 % Version : [BG+19] axioms.
% 0.31/0.48 % English :
% 0.31/0.48
% 0.31/0.48 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.31/0.48 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.31/0.48 % Source : [BG+19]
% 0.31/0.48 % Names : thm_2Ewords_2En2w__sub.p [Gau19]
% 0.31/0.48 % : HL406001^1.p [TPAP]
% 0.31/0.48
% 0.31/0.48 % Status : Theorem
% 0.31/0.48 % Rating : 0.44 v9.1.0, 0.50 v8.2.0, 0.46 v8.1.0, 0.45 v7.5.0
% 0.31/0.48 % Syntax : Number of formulae : 139 ( 47 unt; 76 typ; 0 def)
% 0.31/0.48 % Number of atoms : 111 ( 65 equ; 5 cnn)
% 0.31/0.48 % Maximal formula atoms : 8 ( 1 avg)
% 0.31/0.48 % Number of connectives : 1241 ( 5 ~; 1 |; 14 &;1182 @)
% 0.31/0.48 % ( 21 <=>; 18 =>; 0 <=; 0 <~>)
% 0.31/0.48 % Maximal formula depth : 17 ( 4 avg)
% 0.31/0.48 % Number of types : 5 ( 4 usr)
% 0.31/0.48 % Number of type conns : 132 ( 132 >; 0 *; 0 +; 0 <<)
% 0.31/0.48 % Number of symbols : 74 ( 72 usr; 25 con; 0-3 aty)
% 0.31/0.48 % Number of variables : 143 ( 0 ^; 142 !; 1 ?; 143 :)
% 0.31/0.48 % SPC : TH0_THM_EQU_NAR
% 0.31/0.48
% 0.31/0.48 % Comments :
% 0.31/0.48 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.31/0.48 %------------------------------------------------------------------------------
% 0.31/0.48 thf(u,type,
% 0.31/0.48 u: $tType ).
% 0.31/0.48
% 0.31/0.48 thf(d,type,
% 0.31/0.48 d: $tType ).
% 0.31/0.48
% 0.31/0.48 thf(du,type,
% 0.31/0.48 du: $tType ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Etyop_2Enum_2Enum,type,
% 0.31/0.48 mono_2Etyop_2Enum_2Enum: $tType ).
% 0.31/0.48
% 0.31/0.48 thf(tyop_2Efcp_2Ecart,type,
% 0.31/0.48 tyop_2Efcp_2Ecart: d > d > d ).
% 0.31/0.48
% 0.31/0.48 thf(tyop_2Emin_2Ebool,type,
% 0.31/0.48 tyop_2Emin_2Ebool: d ).
% 0.31/0.48
% 0.31/0.48 thf(tyop_2Emin_2Efun,type,
% 0.31/0.48 tyop_2Emin_2Efun: d > d > d ).
% 0.31/0.48
% 0.31/0.48 thf(tyop_2Enum_2Enum,type,
% 0.31/0.48 tyop_2Enum_2Enum: d ).
% 0.31/0.48
% 0.31/0.48 thf(s,type,
% 0.31/0.48 s: d > u > du ).
% 0.31/0.48
% 0.31/0.48 thf(app_2E2,type,
% 0.31/0.48 app_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(combin_i_2E0,type,
% 0.31/0.48 combin_i_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(combin_k_2E0,type,
% 0.31/0.48 combin_k_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(combin_s_2E0,type,
% 0.31/0.48 combin_s_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_21_2E0,type,
% 0.31/0.48 c_2Ebool_2E_21_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_21_2E1,type,
% 0.31/0.48 c_2Ebool_2E_21_2E1: du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_2B_2E0,type,
% 0.31/0.48 c_2Earithmetic_2E_2B_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_2B_2E2,type,
% 0.31/0.48 c_2Earithmetic_2E_2B_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_2D_2E0,type,
% 0.31/0.48 c_2Earithmetic_2E_2D_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_2D_2E2,type,
% 0.31/0.48 c_2Earithmetic_2E_2D_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.31/0.48 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.31/0.48 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_3C_3D_2E0,type,
% 0.31/0.48 c_2Earithmetic_2E_3C_3D_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Earithmetic_2E_3C_3D_2E2,type,
% 0.31/0.48 c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Emin_2E_3D_2E0,type,
% 0.31/0.48 c_2Emin_2E_3D_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Emin_2E_3D_2E2,type,
% 0.31/0.48 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.31/0.48 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.31/0.48 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_3F_2E0,type,
% 0.31/0.48 c_2Ebool_2E_3F_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_3F_2E1,type,
% 0.31/0.48 c_2Ebool_2E_3F_2E1: du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2ECOND_2E0,type,
% 0.31/0.48 c_2Ebool_2ECOND_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2ECOND_2E3,type,
% 0.31/0.48 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2EF_2E0,type,
% 0.31/0.48 c_2Ebool_2EF_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2ET_2E0,type,
% 0.31/0.48 c_2Ebool_2ET_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.31/0.48 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.31/0.48 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2En2w_2E0,type,
% 0.31/0.48 c_2Ewords_2En2w_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2En2w_2E1,type,
% 0.31/0.48 c_2Ewords_2En2w_2E1: du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__2comp_2E0,type,
% 0.31/0.48 c_2Ewords_2Eword__2comp_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__2comp_2E1,type,
% 0.31/0.48 c_2Ewords_2Eword__2comp_2E1: du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__add_2E0,type,
% 0.31/0.48 c_2Ewords_2Eword__add_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__add_2E2,type,
% 0.31/0.48 c_2Ewords_2Eword__add_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__sub_2E0,type,
% 0.31/0.48 c_2Ewords_2Eword__sub_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ewords_2Eword__sub_2E2,type,
% 0.31/0.48 c_2Ewords_2Eword__sub_2E2: du > du > u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_7E_2E0,type,
% 0.31/0.48 c_2Ebool_2E_7E_2E0: u ).
% 0.31/0.48
% 0.31/0.48 thf(c_2Ebool_2E_7E_2E1,type,
% 0.31/0.48 c_2Ebool_2E_7E_2E1: du > u ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 0.31/0.48 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Earithmetic_2E_2B,type,
% 0.31/0.48 mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Earithmetic_2E_2D,type,
% 0.31/0.48 mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.31/0.48 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
% 0.31/0.48 mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.31/0.48 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Ebool_2EF,type,
% 0.31/0.48 mono_2Ec_2Ebool_2EF: $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Ebool_2ET,type,
% 0.31/0.48 mono_2Ec_2Ebool_2ET: $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.31/0.48 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.31/0.48 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.31/0.48 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 0.31/0.48
% 0.31/0.48 thf(i_mono_2Etyop_2Enum_2Enum,type,
% 0.31/0.48 i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 0.31/0.48 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(j_mono_2Etyop_2Enum_2Enum,type,
% 0.31/0.48 j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.31/0.48 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.31/0.48 ( ! [V2x_2E0: u] :
% 0.31/0.48 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.31/0.48 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.31/0.48 ! [A_27a: d,V0x_2E0: u] :
% 0.31/0.48 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.31/0.48 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) )
% 0.31/0.48 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Eho_2Es__thm,axiom,
% 0.31/0.48 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) )
% 0.31/0.48 = ( 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 ) ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.31/0.48 ! [V0: $o,V1: $o] :
% 0.31/0.48 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.31/0.48 <=> ( V0
% 0.31/0.48 & V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.31/0.48 ! [V0: $o,V1: $o] :
% 0.31/0.48 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.31/0.48 <=> ( V0
% 0.31/0.48 | V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Elogic_2E_7E,axiom,
% 0.31/0.48 ! [V0: $o] :
% 0.31/0.48 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.31/0.48 <=> ( (~) @ V0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.31/0.48 ! [V0: $o,V1: $o] :
% 0.31/0.48 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.31/0.48 <=> ( V0
% 0.31/0.48 => V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Elogic_2E_3D,axiom,
% 0.31/0.48 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.31/0.48 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Equant_2E_21,axiom,
% 0.31/0.48 ! [A_27a: d,V0f_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(reserved_2Equant_2E_3F,axiom,
% 0.31/0.48 ! [A_27a: d,V0f_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.31/0.48 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.31/0.48 ! [V0_2E0: u] :
% 0.31/0.48 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
% 0.31/0.48 = ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0: $o] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: $o > $o] :
% 0.31/0.48 ( ( 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 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.31/0.48 ! [V0: $o > $o > $o] :
% 0.31/0.48 ( ( 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 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 0.31/0.48 ( ( 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 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
% 0.31/0.48 = V0 ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 = ( 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 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.31/0.48 ( ( ( s @ A_27a @ X0_2E0 )
% 0.31/0.48 = ( s @ A_27a @ X1_2E0 ) )
% 0.31/0.48 <=> ( 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 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u] :
% 0.31/0.48 ( ( 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 ) ) ) )
% 0.31/0.48 = ( 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 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.31/0.48 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29,axiom,
% 0.31/0.48 ! [A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b,axiom,
% 0.31/0.48 ! [A_27b: d,X0: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27b,axiom,
% 0.31/0.48 ! [A_27b: d,X0_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27b,axiom,
% 0.31/0.48 ! [A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a,axiom,
% 0.31/0.48 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0: $o > $o,V1: $o] :
% 0.31/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( 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 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: $o > $o > $o,V1: $o] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( 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 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
% 0.31/0.48 = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0: $o > $o,V1: $o] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: $o > $o > $o,V1: $o] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 0.31/0.48 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( V0 @ V1 )
% 0.31/0.48 = ( V0 @ V1 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.31/0.48 mono_2Ec_2Ebool_2ET ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.31/0.48 ! [V0t: $o] :
% 0.31/0.48 ( ( ( mono_2Ec_2Ebool_2ET
% 0.31/0.48 => V0t )
% 0.31/0.48 <=> V0t )
% 0.31/0.48 & ( ( V0t
% 0.31/0.48 => mono_2Ec_2Ebool_2ET )
% 0.31/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.31/0.48 & ( ( mono_2Ec_2Ebool_2EF
% 0.31/0.48 => V0t )
% 0.31/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.31/0.48 & ( ( V0t
% 0.31/0.48 => V0t )
% 0.31/0.48 <=> mono_2Ec_2Ebool_2ET )
% 0.31/0.48 & ( ( V0t
% 0.31/0.48 => mono_2Ec_2Ebool_2EF )
% 0.31/0.48 <=> ( (~) @ V0t ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.31/0.48 ! [A_27a: d,V0x_2E0: u] :
% 0.31/0.48 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V0x_2E0 ) )
% 0.31/0.48 <=> mono_2Ec_2Ebool_2ET ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.31/0.48 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.31/0.48 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V1y_2E0 ) )
% 0.31/0.48 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.31/0.48 ! [V0t: $o] :
% 0.31/0.48 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.31/0.48 <=> V0t )
% 0.31/0.48 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.31/0.48 <=> V0t )
% 0.31/0.48 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.31/0.48 <=> ( (~) @ V0t ) )
% 0.31/0.48 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.31/0.48 <=> ( (~) @ V0t ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.31/0.48 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 0.31/0.48 ( ( V0t1
% 0.31/0.48 => ( V1t2
% 0.31/0.48 => V2t3 ) )
% 0.31/0.48 <=> ( ( V0t1
% 0.31/0.48 & V1t2 )
% 0.31/0.48 => V2t3 ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2EIMP__CONG,axiom,
% 0.31/0.48 ! [V0x: $o,V1x_27: $o,V2y: $o,V3y_27: $o] :
% 0.31/0.48 ( ( ( V0x = V1x_27 )
% 0.31/0.48 & ( V1x_27
% 0.31/0.48 => ( V2y = V3y_27 ) ) )
% 0.31/0.48 => ( ( V0x
% 0.31/0.48 => V2y )
% 0.31/0.48 <=> ( V1x_27
% 0.31/0.48 => V3y_27 ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2ECOND__CONG,axiom,
% 0.31/0.48 ! [A_27a: d,V0P: $o,V1Q: $o,V2x_2E0: u,V3x_27_2E0: u,V4y_2E0: u,V5y_27_2E0: u] :
% 0.31/0.48 ( ( ( V0P = V1Q )
% 0.31/0.48 & ( V1Q
% 0.31/0.48 => ( ( s @ A_27a @ V2x_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V3x_27_2E0 ) ) )
% 0.31/0.48 & ( ( (~) @ V1Q )
% 0.31/0.48 => ( ( s @ A_27a @ V4y_2E0 )
% 0.31/0.48 = ( s @ A_27a @ V5y_27_2E0 ) ) ) )
% 0.31/0.48 => ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0P ) ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1Q ) ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ebool_2Ebool__case__thm,axiom,
% 0.31/0.48 ! [A_27a: d] :
% 0.31/0.48 ( ! [V0t1_2E0: u,V1t2_2E0: u] :
% 0.31/0.48 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27a @ V0t1_2E0 ) )
% 0.31/0.48 & ! [V2t1_2E0: u,V3t2_2E0: u] :
% 0.31/0.48 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
% 0.31/0.48 = ( s @ A_27a @ V3t2_2E0 ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ewords_2Eword__sub__def,axiom,
% 0.31/0.48 ! [A_27a: d,V0v_2E0: u,V1w_2E0: u] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
% 0.31/0.48 ! [A_27a: d,A_27b: d] :
% 0.31/0.48 ( ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0m ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1n ) ) ) ) ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V1n ) ) ) ) ) ) ) )
% 0.31/0.48 & ! [V2m: mono_2Etyop_2Enum_2Enum,V3n: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2m ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V3n ) ) ) ) ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3n @ V2m ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V2m @ V3n ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V3n @ V2m ) ) ) ) ) ) ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 thf(thm_2Ewords_2En2w__sub,conjecture,
% 0.31/0.48 ! [A_27a: d,V0a: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum] :
% 0.31/0.48 ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1b @ V0a )
% 0.31/0.48 => ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V0a @ V1b ) ) ) ) )
% 0.31/0.48 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0a ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1b ) ) ) ) ) ) ) ) ).
% 0.31/0.48
% 0.31/0.48 %------------------------------------------------------------------------------
% 0.31/0.48 ------------------------
% 2.18/1.66 ---- Embedded in THF ---
% 2.18/1.66 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 2.18/1.66 %%% Generated on Tue Feb 24 08:20:25 EST 2026
% 2.18/1.66 %%% using '$$dhol' embedding, version 1.3.0.
% 2.18/1.66 %%% Logic specification used:
% 2.18/1.66 %%% thf(spec, logic, $$dhol).
% 2.18/1.66
% 2.18/1.66 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2DTF19867.p
% See solution above
% 2.18/1.66 ------------------------
% 2.18/1.68 ---- Cleaned THF ---
% 2.18/1.68 thf(u,type,
% 2.18/1.68 u: $tType ).
% 2.18/1.68
% 2.18/1.68 thf(d,type,
% 2.18/1.68 d: $tType ).
% 2.18/1.68
% 2.18/1.68 thf(du,type,
% 2.18/1.68 du: $tType ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Etyop_2Enum_2Enum,type,
% 2.18/1.68 mono_2Etyop_2Enum_2Enum: $tType ).
% 2.18/1.68
% 2.18/1.68 thf(tyop_2Efcp_2Ecart,type,
% 2.18/1.68 tyop_2Efcp_2Ecart: d > d > d ).
% 2.18/1.68
% 2.18/1.68 thf(tyop_2Emin_2Ebool,type,
% 2.18/1.68 tyop_2Emin_2Ebool: d ).
% 2.18/1.68
% 2.18/1.68 thf(tyop_2Emin_2Efun,type,
% 2.18/1.68 tyop_2Emin_2Efun: d > d > d ).
% 2.18/1.68
% 2.18/1.68 thf(tyop_2Enum_2Enum,type,
% 2.18/1.68 tyop_2Enum_2Enum: d ).
% 2.18/1.68
% 2.18/1.68 thf(s,type,
% 2.18/1.68 s: d > u > du ).
% 2.18/1.68
% 2.18/1.68 thf(app_2E2,type,
% 2.18/1.68 app_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(combin_i_2E0,type,
% 2.18/1.68 combin_i_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(combin_k_2E0,type,
% 2.18/1.68 combin_k_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(combin_s_2E0,type,
% 2.18/1.68 combin_s_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_21_2E0,type,
% 2.18/1.68 c_2Ebool_2E_21_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_21_2E1,type,
% 2.18/1.68 c_2Ebool_2E_21_2E1: du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_2B_2E0,type,
% 2.18/1.68 c_2Earithmetic_2E_2B_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_2B_2E2,type,
% 2.18/1.68 c_2Earithmetic_2E_2B_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_2D_2E0,type,
% 2.18/1.68 c_2Earithmetic_2E_2D_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_2D_2E2,type,
% 2.18/1.68 c_2Earithmetic_2E_2D_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.18/1.68 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.18/1.68 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_3C_3D_2E0,type,
% 2.18/1.68 c_2Earithmetic_2E_3C_3D_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Earithmetic_2E_3C_3D_2E2,type,
% 2.18/1.68 c_2Earithmetic_2E_3C_3D_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Emin_2E_3D_2E0,type,
% 2.18/1.68 c_2Emin_2E_3D_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Emin_2E_3D_2E2,type,
% 2.18/1.68 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.18/1.68 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.18/1.68 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_3F_2E0,type,
% 2.18/1.68 c_2Ebool_2E_3F_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_3F_2E1,type,
% 2.18/1.68 c_2Ebool_2E_3F_2E1: du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2ECOND_2E0,type,
% 2.18/1.68 c_2Ebool_2ECOND_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2ECOND_2E3,type,
% 2.18/1.68 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2EF_2E0,type,
% 2.18/1.68 c_2Ebool_2EF_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2ET_2E0,type,
% 2.18/1.68 c_2Ebool_2ET_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.18/1.68 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.18/1.68 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2En2w_2E0,type,
% 2.18/1.68 c_2Ewords_2En2w_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2En2w_2E1,type,
% 2.18/1.68 c_2Ewords_2En2w_2E1: du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__2comp_2E0,type,
% 2.18/1.68 c_2Ewords_2Eword__2comp_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__2comp_2E1,type,
% 2.18/1.68 c_2Ewords_2Eword__2comp_2E1: du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__add_2E0,type,
% 2.18/1.68 c_2Ewords_2Eword__add_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__add_2E2,type,
% 2.18/1.68 c_2Ewords_2Eword__add_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__sub_2E0,type,
% 2.18/1.68 c_2Ewords_2Eword__sub_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ewords_2Eword__sub_2E2,type,
% 2.18/1.68 c_2Ewords_2Eword__sub_2E2: du > du > u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_7E_2E0,type,
% 2.18/1.68 c_2Ebool_2E_7E_2E0: u ).
% 2.18/1.68
% 2.18/1.68 thf(c_2Ebool_2E_7E_2E1,type,
% 2.18/1.68 c_2Ebool_2E_7E_2E1: du > u ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,type,
% 2.18/1.68 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Earithmetic_2E_2B,type,
% 2.18/1.68 mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Earithmetic_2E_2D,type,
% 2.18/1.68 mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.18/1.68 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Earithmetic_2E_3C_3D,type,
% 2.18/1.68 mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.18/1.68 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Ebool_2EF,type,
% 2.18/1.68 mono_2Ec_2Ebool_2EF: $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Ebool_2ET,type,
% 2.18/1.68 mono_2Ec_2Ebool_2ET: $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.18/1.68 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.18/1.68 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.18/1.68 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ) > u ).
% 2.18/1.68
% 2.18/1.68 thf(i_mono_2Etyop_2Enum_2Enum,type,
% 2.18/1.68 i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,type,
% 2.18/1.68 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(j_mono_2Etyop_2Enum_2Enum,type,
% 2.18/1.68 j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.18/1.68 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.18/1.68 ( ! [V2x_2E0: u] :
% 2.18/1.68 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.18/1.68 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.18/1.68 ! [A_27a: d,V0x_2E0: u] :
% 2.18/1.68 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.18/1.68 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) )
% 2.18/1.68 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Eho_2Es__thm,axiom,
% 2.18/1.68 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) )
% 2.18/1.68 = ( 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 ) ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.18/1.68 ! [V0: $o,V1: $o] :
% 2.18/1.68 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.18/1.68 <=> ( V0
% 2.18/1.68 & V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.18/1.68 ! [V0: $o,V1: $o] :
% 2.18/1.68 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.18/1.68 <=> ( V0
% 2.18/1.68 | V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Elogic_2E_7E,axiom,
% 2.18/1.68 ! [V0: $o] :
% 2.18/1.68 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.18/1.68 <=> ( (~) @ V0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.18/1.68 ! [V0: $o,V1: $o] :
% 2.18/1.68 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.18/1.68 <=> ( V0
% 2.18/1.68 => V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Elogic_2E_3D,axiom,
% 2.18/1.68 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.18/1.68 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Equant_2E_21,axiom,
% 2.18/1.68 ! [A_27a: d,V0f_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 <=> ! [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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(reserved_2Equant_2E_3F,axiom,
% 2.18/1.68 ! [A_27a: d,V0f_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 <=> ? [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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.18/1.68 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.18/1.68 ! [V0_2E0: u] :
% 2.18/1.68 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
% 2.18/1.68 = ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0: $o] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: $o > $o] :
% 2.18/1.68 ( ( 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 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.18/1.68 ! [V0: $o > $o > $o] :
% 2.18/1.68 ( ( 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 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > $o] :
% 2.18/1.68 ( ( 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 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
% 2.18/1.68 = V0 ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 = ( 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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.18/1.68 ( ( ( s @ A_27a @ X0_2E0 )
% 2.18/1.68 = ( s @ A_27a @ X1_2E0 ) )
% 2.18/1.68 <=> ( 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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u] :
% 2.18/1.68 ( ( 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 ) ) ) )
% 2.18/1.68 = ( 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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.18/1.68 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29,axiom,
% 2.18/1.68 ! [A_27b: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b,axiom,
% 2.18/1.68 ! [A_27b: d,X0: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ X0 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27b,axiom,
% 2.18/1.68 ! [A_27b: d,X0_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27b,axiom,
% 2.18/1.68 ! [A_27b: d,X0_2E0: u,X1_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a,axiom,
% 2.18/1.68 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0: $o > $o,V1: $o] :
% 2.18/1.68 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( 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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: $o > $o > $o,V1: $o] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( 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 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( V0 @ V1 ) ) )
% 2.18/1.68 = ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0: $o > $o,V1: $o] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: $o > $o > $o,V1: $o] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum,axiom,
% 2.18/1.68 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum,V1: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( V0 @ V1 )
% 2.18/1.68 = ( V0 @ V1 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2ETRUTH,axiom,
% 2.18/1.68 mono_2Ec_2Ebool_2ET ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 2.18/1.68 ! [V0t: $o] :
% 2.18/1.68 ( ( ( mono_2Ec_2Ebool_2ET
% 2.18/1.68 => V0t )
% 2.18/1.68 <=> V0t )
% 2.18/1.68 & ( ( V0t
% 2.18/1.68 => mono_2Ec_2Ebool_2ET )
% 2.18/1.68 <=> mono_2Ec_2Ebool_2ET )
% 2.18/1.68 & ( ( mono_2Ec_2Ebool_2EF
% 2.18/1.68 => V0t )
% 2.18/1.68 <=> mono_2Ec_2Ebool_2ET )
% 2.18/1.68 & ( ( V0t
% 2.18/1.68 => V0t )
% 2.18/1.68 <=> mono_2Ec_2Ebool_2ET )
% 2.18/1.68 & ( ( V0t
% 2.18/1.68 => mono_2Ec_2Ebool_2EF )
% 2.18/1.68 <=> ( (~) @ V0t ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 2.18/1.68 ! [A_27a: d,V0x_2E0: u] :
% 2.18/1.68 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V0x_2E0 ) )
% 2.18/1.68 <=> mono_2Ec_2Ebool_2ET ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 2.18/1.68 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 2.18/1.68 ( ( ( s @ A_27a @ V0x_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V1y_2E0 ) )
% 2.18/1.68 <=> ( ( s @ A_27a @ V1y_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 2.18/1.68 ! [V0t: $o] :
% 2.18/1.68 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 2.18/1.68 <=> V0t )
% 2.18/1.68 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 2.18/1.68 <=> V0t )
% 2.18/1.68 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 2.18/1.68 <=> ( (~) @ V0t ) )
% 2.18/1.68 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 2.18/1.68 <=> ( (~) @ V0t ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 2.18/1.68 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 2.18/1.68 ( ( V0t1
% 2.18/1.68 => ( V1t2
% 2.18/1.68 => V2t3 ) )
% 2.18/1.68 <=> ( ( V0t1
% 2.18/1.68 & V1t2 )
% 2.18/1.68 => V2t3 ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2EIMP__CONG,axiom,
% 2.18/1.68 ! [V0x: $o,V1x_27: $o,V2y: $o,V3y_27: $o] :
% 2.18/1.68 ( ( ( V0x = V1x_27 )
% 2.18/1.68 & ( V1x_27
% 2.18/1.68 => ( V2y = V3y_27 ) ) )
% 2.18/1.68 => ( ( V0x
% 2.18/1.68 => V2y )
% 2.18/1.68 <=> ( V1x_27
% 2.18/1.68 => V3y_27 ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2ECOND__CONG,axiom,
% 2.18/1.68 ! [A_27a: d,V0P: $o,V1Q: $o,V2x_2E0: u,V3x_27_2E0: u,V4y_2E0: u,V5y_27_2E0: u] :
% 2.18/1.68 ( ( ( V0P = V1Q )
% 2.18/1.68 & ( V1Q
% 2.18/1.68 => ( ( s @ A_27a @ V2x_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V3x_27_2E0 ) ) )
% 2.18/1.68 & ( ( (~) @ V1Q )
% 2.18/1.68 => ( ( s @ A_27a @ V4y_2E0 )
% 2.18/1.68 = ( s @ A_27a @ V5y_27_2E0 ) ) ) )
% 2.18/1.68 => ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0P ) ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1Q ) ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ebool_2Ebool__case__thm,axiom,
% 2.18/1.68 ! [A_27a: d] :
% 2.18/1.68 ( ! [V0t1_2E0: u,V1t2_2E0: u] :
% 2.18/1.68 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27a @ V0t1_2E0 ) )
% 2.18/1.68 & ! [V2t1_2E0: u,V3t2_2E0: u] :
% 2.18/1.68 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
% 2.18/1.68 = ( s @ A_27a @ V3t2_2E0 ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ewords_2Eword__sub__def,axiom,
% 2.18/1.68 ! [A_27a: d,V0v_2E0: u,V1w_2E0: u] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ewords_2EWORD__LITERAL__ADD,axiom,
% 2.18/1.68 ! [A_27a: d,A_27b: d] :
% 2.18/1.68 ( ! [V0m: mono_2Etyop_2Enum_2Enum,V1n: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0m ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1n ) ) ) ) ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2B @ V0m @ V1n ) ) ) ) ) ) ) )
% 2.18/1.68 & ! [V2m: mono_2Etyop_2Enum_2Enum,V3n: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V2m ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V3n ) ) ) ) ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Earithmetic_2E_3C_3D @ V3n @ V2m ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V2m @ V3n ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V3n @ V2m ) ) ) ) ) ) ) ) ) ) ) ).
% 2.18/1.68
% 2.18/1.68 thf(thm_2Ewords_2En2w__sub,conjecture,
% 2.18/1.68 ! [A_27a: d,V0a: mono_2Etyop_2Enum_2Enum,V1b: mono_2Etyop_2Enum_2Enum] :
% 2.18/1.68 ( ( mono_2Ec_2Earithmetic_2E_3C_3D @ V1b @ V0a )
% 2.18/1.68 => ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( mono_2Ec_2Earithmetic_2E_2D @ V0a @ V1b ) ) ) ) )
% 2.18/1.68 = ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0a ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1b ) ) ) ) ) ) ) ) ).
% 2.18/1.68 ------------------------
% 2.18/1.69 % (20047)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_19867 for (2999ds/27Mi)
% 2.18/1.69 % (20045)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/183Mi)
% 2.18/1.69 % (20046)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_19867 for (2999ds/4Mi)
% 2.18/1.69 % (20050)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_19867 for (2999ds/275Mi)
% 2.18/1.69 % (20051)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/18Mi)
% 2.18/1.70 % (20046)Instruction limit reached!
% 2.18/1.70 % (20046)------------------------------
% 2.18/1.70 % (20046)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.18/1.70 % (20046)Termination reason: Unknown
% 2.18/1.70 % (20046)Termination phase: shuffling
% 2.18/1.70
% 2.18/1.70 % (20046)Memory used [KB]: 1151
% 2.18/1.70 % (20046)Time elapsed: 0.003 s
% 2.18/1.70 % (20046)Instructions burned: 6 (million)
% 2.18/1.70 % (20046)------------------------------
% 2.18/1.70 % (20046)------------------------------
% 2.36/1.70 % (20050)Refutation not found, incomplete strategy
% 2.36/1.70 % (20050)------------------------------
% 2.36/1.70 % (20050)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (20050)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.70
% 2.36/1.70
% 2.36/1.70 % (20050)Memory used [KB]: 5628
% 2.36/1.70 % (20050)Time elapsed: 0.005 s
% 2.36/1.70 % (20050)Instructions burned: 13 (million)
% 2.36/1.70 % (20050)------------------------------
% 2.36/1.70 % (20050)------------------------------
% 2.36/1.70 % (20048)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/2Mi)
% 2.36/1.70 % (20051)Instruction limit reached!
% 2.36/1.70 % (20051)------------------------------
% 2.36/1.70 % (20051)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (20051)Termination reason: Unknown
% 2.36/1.70 % (20051)Termination phase: Property scanning
% 2.36/1.70
% 2.36/1.70 % (20051)Memory used [KB]: 1279
% 2.36/1.70 % (20051)Time elapsed: 0.007 s
% 2.36/1.70 % (20051)Instructions burned: 21 (million)
% 2.36/1.70 % (20051)------------------------------
% 2.36/1.70 % (20051)------------------------------
% 2.36/1.70 % (20048)Instruction limit reached!
% 2.36/1.70 % (20048)------------------------------
% 2.36/1.70 % (20048)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (20048)Termination reason: Unknown
% 2.36/1.70 % (20048)Termination phase: shuffling
% 2.36/1.70
% 2.36/1.70 % (20048)Memory used [KB]: 1151
% 2.36/1.70 % (20048)Time elapsed: 0.003 s
% 2.36/1.70 % (20048)Instructions burned: 2 (million)
% 2.36/1.70 % (20048)------------------------------
% 2.36/1.70 % (20048)------------------------------
% 2.36/1.70 % (20047)Instruction limit reached!
% 2.36/1.70 % (20047)------------------------------
% 2.36/1.70 % (20047)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (20047)Termination reason: Unknown
% 2.36/1.70 % (20047)Termination phase: Property scanning
% 2.36/1.70
% 2.36/1.70 % (20047)Memory used [KB]: 1279
% 2.36/1.70 % (20047)Time elapsed: 0.009 s
% 2.36/1.70 % (20047)Instructions burned: 29 (million)
% 2.36/1.70 % (20047)------------------------------
% 2.36/1.70 % (20047)------------------------------
% 2.36/1.70 % (20049)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_19867 for (2999ds/2Mi)
% 2.36/1.70 % (20049)Instruction limit reached!
% 2.36/1.70 % (20049)------------------------------
% 2.36/1.70 % (20049)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.70 % (20049)Termination reason: Unknown
% 2.36/1.70 % (20049)Termination phase: shuffling
% 2.36/1.70
% 2.36/1.70 % (20049)Memory used [KB]: 1023
% 2.36/1.70 % (20049)Time elapsed: 0.003 s
% 2.36/1.70 % (20049)Instructions burned: 2 (million)
% 2.36/1.70 % (20049)------------------------------
% 2.36/1.70 % (20049)------------------------------
% 2.36/1.70 % (20055)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/3Mi)
% 2.36/1.71 % (20055)Instruction limit reached!
% 2.36/1.71 % (20055)------------------------------
% 2.36/1.71 % (20055)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.71 % (20055)Termination reason: Unknown
% 2.36/1.71 % (20055)Termination phase: shuffling
% 2.36/1.71
% 2.36/1.71 % (20055)Memory used [KB]: 1151
% 2.36/1.71 % (20055)Time elapsed: 0.002 s
% 2.36/1.71 % (20055)Instructions burned: 4 (million)
% 2.36/1.71 % (20055)------------------------------
% 2.36/1.71 % (20055)------------------------------
% 2.36/1.71 % (20057)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_19867 for (2999ds/37Mi)
% 2.36/1.71 % (20058)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_19867 for (2999ds/15Mi)
% 2.36/1.71 % (20060)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_19867 for (2999ds/1041Mi)
% 2.36/1.71 % (20058)Instruction limit reached!
% 2.36/1.71 % (20058)------------------------------
% 2.36/1.71 % (20058)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.71 % (20058)Termination reason: Unknown
% 2.36/1.71 % (20058)Termination phase: Property scanning
% 2.36/1.71
% 2.36/1.71 % (20058)Memory used [KB]: 1279
% 2.36/1.71 % (20058)Time elapsed: 0.006 s
% 2.36/1.71 % (20058)Instructions burned: 18 (million)
% 2.36/1.71 % (20058)------------------------------
% 2.36/1.71 % (20058)------------------------------
% 2.36/1.72 % (20063)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/16Mi)
% 2.36/1.72 % (20059)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_19867 for (2999ds/3Mi)
% 2.36/1.72 % (20057)Instruction limit reached!
% 2.36/1.72 % (20057)------------------------------
% 2.36/1.72 % (20057)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (20057)Termination reason: Unknown
% 2.36/1.72 % (20057)Termination phase: Property scanning
% 2.36/1.72
% 2.36/1.72 % (20057)Memory used [KB]: 1407
% 2.36/1.72 % (20057)Time elapsed: 0.011 s
% 2.36/1.72 % (20057)Instructions burned: 40 (million)
% 2.36/1.72 % (20057)------------------------------
% 2.36/1.72 % (20057)------------------------------
% 2.36/1.72 % (20059)Instruction limit reached!
% 2.36/1.72 % (20059)------------------------------
% 2.36/1.72 % (20059)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (20059)Termination reason: Unknown
% 2.36/1.72 % (20059)Termination phase: shuffling
% 2.36/1.72
% 2.36/1.72 % (20059)Memory used [KB]: 1023
% 2.36/1.72 % (20059)Time elapsed: 0.003 s
% 2.36/1.72 % (20059)Instructions burned: 3 (million)
% 2.36/1.72 % (20059)------------------------------
% 2.36/1.72 % (20059)------------------------------
% 2.36/1.72 % (20063)Instruction limit reached!
% 2.36/1.72 % (20063)------------------------------
% 2.36/1.72 % (20063)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (20063)Termination reason: Unknown
% 2.36/1.72 % (20063)Termination phase: Property scanning
% 2.36/1.72
% 2.36/1.72 % (20063)Memory used [KB]: 1279
% 2.36/1.72 % (20063)Time elapsed: 0.006 s
% 2.36/1.72 % (20063)Instructions burned: 18 (million)
% 2.36/1.72 % (20063)------------------------------
% 2.36/1.72 % (20063)------------------------------
% 2.36/1.72 % (20062)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/7Mi)
% 2.36/1.72 % (20066)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_19867 for (2999ds/3Mi)
% 2.36/1.72 % (20062)Instruction limit reached!
% 2.36/1.72 % (20062)------------------------------
% 2.36/1.72 % (20062)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (20062)Termination reason: Unknown
% 2.36/1.72 % (20062)Termination phase: Property scanning
% 2.36/1.72
% 2.36/1.72 % (20062)Memory used [KB]: 1151
% 2.36/1.72 % (20062)Time elapsed: 0.006 s
% 2.36/1.72 % (20062)Instructions burned: 8 (million)
% 2.36/1.72 % (20062)------------------------------
% 2.36/1.72 % (20062)------------------------------
% 2.36/1.72 % (20066)Instruction limit reached!
% 2.36/1.72 % (20066)------------------------------
% 2.36/1.72 % (20066)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.72 % (20066)Termination reason: Unknown
% 2.36/1.72 % (20066)Termination phase: shuffling
% 2.36/1.72
% 2.36/1.72 % (20066)Memory used [KB]: 1023
% 2.36/1.72 % (20066)Time elapsed: 0.002 s
% 2.36/1.72 % (20066)Instructions burned: 3 (million)
% 2.36/1.72 % (20066)------------------------------
% 2.36/1.72 % (20066)------------------------------
% 2.36/1.73 % (20069)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_19867 for (2999ds/3Mi)
% 2.36/1.73 % (20069)Instruction limit reached!
% 2.36/1.73 % (20069)------------------------------
% 2.36/1.73 % (20069)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.73 % (20069)Termination reason: Unknown
% 2.36/1.73 % (20069)Termination phase: shuffling
% 2.36/1.73
% 2.36/1.73 % (20069)Memory used [KB]: 1023
% 2.36/1.73 % (20069)Time elapsed: 0.002 s
% 2.36/1.73 % (20069)Instructions burned: 3 (million)
% 2.36/1.73 % (20069)------------------------------
% 2.36/1.73 % (20069)------------------------------
% 2.36/1.73 % (20070)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/7Mi)
% 2.36/1.73 % (20072)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/3Mi)
% 2.36/1.73 % (20072)Instruction limit reached!
% 2.36/1.73 % (20072)------------------------------
% 2.36/1.73 % (20072)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.73 % (20072)Termination reason: Unknown
% 2.36/1.73 % (20072)Termination phase: shuffling
% 2.36/1.73
% 2.36/1.73 % (20072)Memory used [KB]: 1151
% 2.36/1.73 % (20072)Time elapsed: 0.002 s
% 2.36/1.73 % (20072)Instructions burned: 4 (million)
% 2.36/1.73 % (20072)------------------------------
% 2.36/1.73 % (20072)------------------------------
% 2.36/1.73 % (20070)Instruction limit reached!
% 2.36/1.73 % (20070)------------------------------
% 2.36/1.73 % (20070)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.73 % (20070)Termination reason: Unknown
% 2.36/1.73 % (20070)Termination phase: shuffling
% 2.36/1.73
% 2.36/1.73 % (20070)Memory used [KB]: 1151
% 2.36/1.73 % (20070)Time elapsed: 0.003 s
% 2.36/1.73 % (20070)Instructions burned: 7 (million)
% 2.36/1.73 % (20070)------------------------------
% 2.36/1.73 % (20070)------------------------------
% 2.36/1.73 % (20076)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/18Mi)
% 2.36/1.74 % (20078)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/710Mi)
% 2.36/1.74 % (20076)Instruction limit reached!
% 2.36/1.74 % (20076)------------------------------
% 2.36/1.74 % (20076)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.74 % (20076)Termination reason: Unknown
% 2.36/1.74 % (20076)Termination phase: Property scanning
% 2.36/1.74
% 2.36/1.74 % (20076)Memory used [KB]: 1279
% 2.36/1.74 % (20076)Time elapsed: 0.006 s
% 2.36/1.74 % (20076)Instructions burned: 18 (million)
% 2.36/1.74 % (20076)------------------------------
% 2.36/1.74 % (20076)------------------------------
% 2.36/1.74 % (20075)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/4Mi)
% 2.36/1.74 % (20079)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/6Mi)
% 2.36/1.74 % (20075)Instruction limit reached!
% 2.36/1.74 % (20075)------------------------------
% 2.36/1.74 % (20075)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.74 % (20075)Termination reason: Unknown
% 2.36/1.74 % (20075)Termination phase: Property scanning
% 2.36/1.74
% 2.36/1.74 % (20075)Memory used [KB]: 1151
% 2.36/1.74 % (20075)Time elapsed: 0.003 s
% 2.36/1.74 % (20075)Instructions burned: 4 (million)
% 2.36/1.74 % (20075)------------------------------
% 2.36/1.74 % (20075)------------------------------
% 2.36/1.74 % (20080)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_19867 for (2999ds/902Mi)
% 2.36/1.74 % (20079)Instruction limit reached!
% 2.36/1.74 % (20079)------------------------------
% 2.36/1.74 % (20079)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.74 % (20079)Termination reason: Unknown
% 2.36/1.74 % (20079)Termination phase: Property scanning
% 2.36/1.74
% 2.36/1.74 % (20079)Memory used [KB]: 1151
% 2.36/1.74 % (20079)Time elapsed: 0.003 s
% 2.36/1.74 % (20079)Instructions burned: 7 (million)
% 2.36/1.74 % (20079)------------------------------
% 2.36/1.74 % (20079)------------------------------
% 2.36/1.75 % (20081)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_19867 for (2999ds/21Mi)
% 2.36/1.75 % (20045)Instruction limit reached!
% 2.36/1.75 % (20045)------------------------------
% 2.36/1.75 % (20045)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.75 % (20045)Termination reason: Unknown
% 2.36/1.75 % (20045)Termination phase: Saturation
% 2.36/1.75
% 2.36/1.75 % (20045)Memory used [KB]: 6524
% 2.36/1.75 % (20045)Time elapsed: 0.058 s
% 2.36/1.75 % (20045)Instructions burned: 184 (million)
% 2.36/1.75 % (20045)------------------------------
% 2.36/1.75 % (20045)------------------------------
% 2.36/1.75 % (20083)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_19867 for (2999ds/6Mi)
% 2.36/1.75 % (20082)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/5Mi)
% 2.36/1.75 % (20082)Instruction limit reached!
% 2.36/1.75 % (20082)------------------------------
% 2.36/1.75 % (20082)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.75 % (20082)Termination reason: Unknown
% 2.36/1.75 % (20082)Termination phase: shuffling
% 2.36/1.75
% 2.36/1.75 % (20082)Memory used [KB]: 1151
% 2.36/1.75 % (20082)Time elapsed: 0.003 s
% 2.36/1.75 % (20082)Instructions burned: 7 (million)
% 2.36/1.75 % (20082)------------------------------
% 2.36/1.75 % (20082)------------------------------
% 2.36/1.75 % (20083)Instruction limit reached!
% 2.36/1.75 % (20083)------------------------------
% 2.36/1.75 % (20083)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.75 % (20083)Termination reason: Unknown
% 2.36/1.75 % (20083)Termination phase: shuffling
% 2.36/1.75
% 2.36/1.75 % (20083)Memory used [KB]: 1151
% 2.36/1.75 % (20083)Time elapsed: 0.003 s
% 2.36/1.75 % (20083)Instructions burned: 8 (million)
% 2.36/1.75 % (20083)------------------------------
% 2.36/1.75 % (20083)------------------------------
% 2.36/1.75 % (20081)Instruction limit reached!
% 2.36/1.75 % (20081)------------------------------
% 2.36/1.75 % (20081)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.75 % (20081)Termination reason: Unknown
% 2.36/1.75 % (20081)Termination phase: SInE selection
% 2.36/1.75
% 2.36/1.75 % (20081)Memory used [KB]: 1151
% 2.36/1.75 % (20081)Time elapsed: 0.007 s
% 2.36/1.75 % (20081)Instructions burned: 21 (million)
% 2.36/1.75 % (20081)------------------------------
% 2.36/1.75 % (20081)------------------------------
% 2.36/1.76 % (20078)Refutation not found, incomplete strategy
% 2.36/1.76 % (20078)------------------------------
% 2.36/1.76 % (20078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.76 % (20078)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.76
% 2.36/1.76
% 2.36/1.76 % (20078)Memory used [KB]: 6012
% 2.36/1.76 % (20078)Time elapsed: 0.019 s
% 2.36/1.76 % (20078)Instructions burned: 63 (million)
% 2.36/1.76 % (20078)------------------------------
% 2.36/1.76 % (20078)------------------------------
% 2.36/1.76 % (20086)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/377Mi)
% 2.36/1.76 % (20087)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_19867 for (2999ds/779Mi)
% 2.36/1.76 % (20088)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_19867 for (2999ds/19Mi)
% 2.36/1.76 % (20089)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/879Mi)
% 2.36/1.77 % (20091)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/17Mi)
% 2.36/1.77 % (20088)Instruction limit reached!
% 2.36/1.77 % (20088)------------------------------
% 2.36/1.77 % (20088)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.77 % (20088)Termination reason: Unknown
% 2.36/1.77 % (20088)Termination phase: Property scanning
% 2.36/1.77
% 2.36/1.77 % (20088)Memory used [KB]: 1279
% 2.36/1.77 % (20088)Time elapsed: 0.006 s
% 2.36/1.77 % (20088)Instructions burned: 20 (million)
% 2.36/1.77 % (20088)------------------------------
% 2.36/1.77 % (20088)------------------------------
% 2.36/1.77 % (20091)Instruction limit reached!
% 2.36/1.77 % (20091)------------------------------
% 2.36/1.77 % (20091)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.77 % (20091)Termination reason: Unknown
% 2.36/1.77 % (20091)Termination phase: Property scanning
% 2.36/1.77
% 2.36/1.77 % (20091)Memory used [KB]: 1279
% 2.36/1.77 % (20091)Time elapsed: 0.006 s
% 2.36/1.77 % (20091)Instructions burned: 18 (million)
% 2.36/1.77 % (20091)------------------------------
% 2.36/1.77 % (20091)------------------------------
% 2.36/1.78 % (20096)ott+21_1:1_apa=on:au=on:cnfonf=off:sos=on:i=3:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/3Mi)
% 2.36/1.78 % (20096)Instruction limit reached!
% 2.36/1.78 % (20096)------------------------------
% 2.36/1.78 % (20096)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.78 % (20096)Termination reason: Unknown
% 2.36/1.78 % (20096)Termination phase: shuffling
% 2.36/1.78
% 2.36/1.78 % (20096)Memory used [KB]: 1151
% 2.36/1.78 % (20096)Time elapsed: 0.002 s
% 2.36/1.78 % (20096)Instructions burned: 4 (million)
% 2.36/1.78 % (20096)------------------------------
% 2.36/1.78 % (20096)------------------------------
% 2.36/1.78 % (20098)lrs+1010_1:8_cnfonf=off:hud=1:inj=on:tnu=5:i=30:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/30Mi)
% 2.36/1.79 % (20102)dis+10_1:1_ixr=off:plsq=on:plsqc=1:plsqr=32,1:s2a=on:i=127:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/127Mi)
% 2.36/1.79 % (20098)Instruction limit reached!
% 2.36/1.79 % (20098)------------------------------
% 2.36/1.79 % (20098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.79 % (20098)Termination reason: Unknown
% 2.36/1.79 % (20098)Termination phase: Property scanning
% 2.36/1.79
% 2.36/1.79 % (20098)Memory used [KB]: 1279
% 2.36/1.79 % (20098)Time elapsed: 0.009 s
% 2.36/1.79 % (20098)Instructions burned: 30 (million)
% 2.36/1.79 % (20098)------------------------------
% 2.36/1.79 % (20098)------------------------------
% 2.36/1.80 % (20109)lrs+1002_1:1_au=on:cbe=off:cnfonf=conj_eager:cond=on:hi=on:i=100:si=on:rtra=on_0 on DTF2THF_19867 for (2999ds/100Mi)
% 2.36/1.83 % (20109)Instruction limit reached!
% 2.36/1.83 % (20109)------------------------------
% 2.36/1.83 % (20109)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.83 % (20109)Termination reason: Unknown
% 2.36/1.83 % (20109)Termination phase: Saturation
% 2.36/1.83
% 2.36/1.83 % (20109)Memory used [KB]: 6396
% 2.36/1.83 % (20109)Time elapsed: 0.029 s
% 2.36/1.83 % (20109)Instructions burned: 101 (million)
% 2.36/1.83 % (20109)------------------------------
% 2.36/1.83 % (20109)------------------------------
% 2.36/1.83 % (20102)Instruction limit reached!
% 2.36/1.83 % (20102)------------------------------
% 2.36/1.83 % (20102)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.83 % (20102)Termination reason: Unknown
% 2.36/1.83 % (20102)Termination phase: Saturation
% 2.36/1.83
% 2.36/1.83 % (20102)Memory used [KB]: 6268
% 2.36/1.83 % (20102)Time elapsed: 0.040 s
% 2.36/1.83 % (20102)Instructions burned: 127 (million)
% 2.36/1.83 % (20102)------------------------------
% 2.36/1.83 % (20102)------------------------------
% 2.36/1.83 % (20116)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_19867 for (2998ds/3Mi)
% 2.36/1.84 % (20117)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_19867 for (2998ds/20Mi)
% 2.36/1.84 % (20116)Instruction limit reached!
% 2.36/1.84 % (20116)------------------------------
% 2.36/1.84 % (20116)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.84 % (20116)Termination reason: Unknown
% 2.36/1.84 % (20116)Termination phase: shuffling
% 2.36/1.84
% 2.36/1.84 % (20116)Memory used [KB]: 1151
% 2.36/1.84 % (20116)Time elapsed: 0.002 s
% 2.36/1.84 % (20116)Instructions burned: 3 (million)
% 2.36/1.84 % (20116)------------------------------
% 2.36/1.84 % (20116)------------------------------
% 2.36/1.84 % (20117)Instruction limit reached!
% 2.36/1.84 % (20117)------------------------------
% 2.36/1.84 % (20117)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.84 % (20117)Termination reason: Unknown
% 2.36/1.84 % (20117)Termination phase: Saturation
% 2.36/1.84
% 2.36/1.84 % (20117)Memory used [KB]: 5756
% 2.36/1.84 % (20117)Time elapsed: 0.007 s
% 2.36/1.84 % (20117)Instructions burned: 20 (million)
% 2.36/1.84 % (20117)------------------------------
% 2.36/1.84 % (20117)------------------------------
% 2.36/1.84 % (20122)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_19867 for (2998ds/86Mi)
% 2.36/1.85 % (20124)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_19867 for (2998ds/107Mi)
% 2.36/1.87 % (20122)Instruction limit reached!
% 2.36/1.87 % (20122)------------------------------
% 2.36/1.87 % (20122)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.87 % (20122)Termination reason: Unknown
% 2.36/1.87 % (20122)Termination phase: Saturation
% 2.36/1.87
% 2.36/1.87 % (20122)Memory used [KB]: 6268
% 2.36/1.87 % (20122)Time elapsed: 0.028 s
% 2.36/1.87 % (20122)Instructions burned: 86 (million)
% 2.36/1.87 % (20122)------------------------------
% 2.36/1.87 % (20122)------------------------------
% 2.36/1.87 % (20086)Instruction limit reached!
% 2.36/1.87 % (20086)------------------------------
% 2.36/1.87 % (20086)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.87 % (20086)Termination reason: Unknown
% 2.36/1.87 % (20086)Termination phase: Saturation
% 2.36/1.87
% 2.36/1.87 % (20086)Memory used [KB]: 6524
% 2.36/1.87 % (20086)Time elapsed: 0.116 s
% 2.36/1.87 % (20086)Instructions burned: 380 (million)
% 2.36/1.87 % (20086)------------------------------
% 2.36/1.87 % (20086)------------------------------
% 2.36/1.88 % (20135)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_19867 for (2998ds/39Mi)
% 2.36/1.88 % (20124)Instruction limit reached!
% 2.36/1.88 % (20124)------------------------------
% 2.36/1.88 % (20124)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.88 % (20124)Termination reason: Unknown
% 2.36/1.88 % (20124)Termination phase: Saturation
% 2.36/1.88
% 2.36/1.88 % (20124)Memory used [KB]: 6268
% 2.36/1.88 % (20124)Time elapsed: 0.034 s
% 2.36/1.88 % (20124)Instructions burned: 107 (million)
% 2.36/1.88 % (20124)------------------------------
% 2.36/1.88 % (20124)------------------------------
% 2.36/1.88 % (20137)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_19867 for (2998ds/448Mi)
% 2.36/1.89 % (20135)Instruction limit reached!
% 2.36/1.89 % (20135)------------------------------
% 2.36/1.89 % (20135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.89 % (20135)Termination reason: Unknown
% 2.36/1.89 % (20135)Termination phase: Property scanning
% 2.36/1.89
% 2.36/1.89 % (20135)Memory used [KB]: 1407
% 2.36/1.89 % (20135)Time elapsed: 0.011 s
% 2.36/1.89 % (20135)Instructions burned: 40 (million)
% 2.36/1.89 % (20135)------------------------------
% 2.36/1.89 % (20135)------------------------------
% 2.36/1.89 % (20138)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_19867 for (2998ds/46Mi)
% 2.36/1.90 % (20137)Refutation not found, incomplete strategy
% 2.36/1.90 % (20137)------------------------------
% 2.36/1.90 % (20137)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.90 % (20137)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.90
% 2.36/1.90
% 2.36/1.90 % (20137)Memory used [KB]: 6012
% 2.36/1.90 % (20137)Time elapsed: 0.013 s
% 2.36/1.90 % (20137)Instructions burned: 43 (million)
% 2.36/1.90 % (20137)------------------------------
% 2.36/1.90 % (20137)------------------------------
% 2.36/1.90 % (20143)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_19867 for (2998ds/98Mi)
% 2.36/1.91 % (20147)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_19867 for (2998ds/507Mi)
% 2.36/1.91 % (20138)Instruction limit reached!
% 2.36/1.91 % (20138)------------------------------
% 2.36/1.91 % (20138)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.91 % (20138)Termination reason: Unknown
% 2.36/1.91 % (20138)Termination phase: Saturation
% 2.36/1.91
% 2.36/1.91 % (20138)Memory used [KB]: 6012
% 2.36/1.91 % (20138)Time elapsed: 0.015 s
% 2.36/1.91 % (20138)Instructions burned: 48 (million)
% 2.36/1.91 % (20138)------------------------------
% 2.36/1.91 % (20138)------------------------------
% 2.36/1.92 % (20150)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_19867 for (2997ds/149Mi)
% 2.36/1.93 % (20143)Instruction limit reached!
% 2.36/1.93 % (20143)------------------------------
% 2.36/1.93 % (20143)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.93 % (20143)Termination reason: Unknown
% 2.36/1.93 % (20143)Termination phase: Saturation
% 2.36/1.93
% 2.36/1.93 % (20143)Memory used [KB]: 1663
% 2.36/1.93 % (20143)Time elapsed: 0.051 s
% 2.36/1.93 % (20143)Instructions burned: 99 (million)
% 2.36/1.93 % (20143)------------------------------
% 2.36/1.93 % (20143)------------------------------
% 2.36/1.94 % (20163)lrs+21_1:16_au=on:bd=off:piset=and:i=39:si=on:rtra=on_0 on DTF2THF_19867 for (2997ds/39Mi)
% 2.36/1.95 % (20163)Instruction limit reached!
% 2.36/1.95 % (20163)------------------------------
% 2.36/1.95 % (20163)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.95 % (20163)Termination reason: Unknown
% 2.36/1.95 % (20163)Termination phase: Saturation
% 2.36/1.95
% 2.36/1.95 % (20163)Memory used [KB]: 5884
% 2.36/1.95 % (20163)Time elapsed: 0.012 s
% 2.36/1.95 % (20163)Instructions burned: 41 (million)
% 2.36/1.95 % (20163)------------------------------
% 2.36/1.95 % (20163)------------------------------
% 2.36/1.96 % (20172)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_19867 for (2997ds/6Mi)
% 2.36/1.96 % (20172)Instruction limit reached!
% 2.36/1.96 % (20172)------------------------------
% 2.36/1.96 % (20172)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.96 % (20172)Termination reason: Unknown
% 2.36/1.96 % (20172)Termination phase: shuffling
% 2.36/1.96
% 2.36/1.96 % (20172)Memory used [KB]: 1151
% 2.36/1.96 % (20172)Time elapsed: 0.003 s
% 2.36/1.96 % (20172)Instructions burned: 7 (million)
% 2.36/1.96 % (20172)------------------------------
% 2.36/1.96 % (20172)------------------------------
% 2.36/1.96 % (20150)Instruction limit reached!
% 2.36/1.96 % (20150)------------------------------
% 2.36/1.96 % (20150)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.96 % (20150)Termination reason: Unknown
% 2.36/1.96 % (20150)Termination phase: Saturation
% 2.36/1.96
% 2.36/1.96 % (20150)Memory used [KB]: 6268
% 2.36/1.96 % (20150)Time elapsed: 0.071 s
% 2.36/1.96 % (20150)Instructions burned: 152 (million)
% 2.36/1.96 % (20150)------------------------------
% 2.36/1.96 % (20150)------------------------------
% 2.36/1.97 % (20175)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_19867 for (2997ds/1087Mi)
% 2.36/1.97 % (20179)dis+10_1:1_aac=none:cs=on:i=47:si=on:rtra=on_0 on DTF2THF_19867 for (2997ds/47Mi)
% 2.36/1.99 % (20179)Instruction limit reached!
% 2.36/1.99 % (20179)------------------------------
% 2.36/1.99 % (20179)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.99 % (20179)Termination reason: Unknown
% 2.36/1.99 % (20179)Termination phase: Saturation
% 2.36/1.99
% 2.36/1.99 % (20179)Memory used [KB]: 6012
% 2.36/1.99 % (20179)Time elapsed: 0.015 s
% 2.36/1.99 % (20179)Instructions burned: 48 (million)
% 2.36/1.99 % (20179)------------------------------
% 2.36/1.99 % (20179)------------------------------
% 2.36/1.99 % (20087)Instruction limit reached!
% 2.36/1.99 % (20087)------------------------------
% 2.36/1.99 % (20087)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/1.99 % (20087)Termination reason: Unknown
% 2.36/1.99 % (20087)Termination phase: Saturation
% 2.36/1.99
% 2.36/1.99 % (20087)Memory used [KB]: 7164
% 2.36/1.99 % (20087)Time elapsed: 0.226 s
% 2.36/1.99 % (20087)Instructions burned: 782 (million)
% 2.36/1.99 % (20087)------------------------------
% 2.36/1.99 % (20087)------------------------------
% 2.36/2.00 % (20194)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_19867 for (2996ds/44Mi)
% 2.36/2.00 % (20197)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_19867 for (2996ds/432Mi)
% 2.36/2.00 % (20080)Instruction limit reached!
% 2.36/2.00 % (20080)------------------------------
% 2.36/2.00 % (20080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/2.00 % (20080)Termination reason: Unknown
% 2.36/2.00 % (20080)Termination phase: Saturation
% 2.36/2.00
% 2.36/2.00 % (20080)Memory used [KB]: 7036
% 2.36/2.00 % (20080)Time elapsed: 0.258 s
% 2.36/2.00 % (20080)Instructions burned: 905 (million)
% 2.36/2.00 % (20080)------------------------------
% 2.36/2.00 % (20080)------------------------------
% 2.36/2.00 % (20147)First to succeed.
% 2.36/2.00 % (20147)Refutation found. Thanks to Tanya!
% 2.36/2.00 % SZS status Theorem for DTF2THF_19867
% 2.36/2.00 % SZS output start Proof for DTF2THF_19867
% 2.36/2.00 thf(type_def_5, type, d: $tType).
% 2.36/2.00 thf(type_def_7, type, u: $tType).
% 2.36/2.00 thf(type_def_8, type, du: $tType).
% 2.36/2.00 thf(type_def_9, type, mono_2Etyop_2Enum_2Enum: $tType).
% 2.36/2.00 thf(func_def_0, type, u: $tType).
% 2.36/2.00 thf(func_def_1, type, d: $tType).
% 2.36/2.00 thf(func_def_2, type, du: $tType).
% 2.36/2.00 thf(func_def_3, type, mono_2Etyop_2Enum_2Enum: $tType).
% 2.36/2.00 thf(func_def_4, type, tyop_2Efcp_2Ecart: d > d > d).
% 2.36/2.00 thf(func_def_5, type, tyop_2Emin_2Ebool: d).
% 2.36/2.00 thf(func_def_6, type, tyop_2Emin_2Efun: d > d > d).
% 2.36/2.00 thf(func_def_7, type, tyop_2Enum_2Enum: d).
% 2.36/2.00 thf(func_def_8, type, s: d > u > du).
% 2.36/2.00 thf(func_def_9, type, app_2E2: du > du > u).
% 2.36/2.00 thf(func_def_10, type, combin_i_2E0: u).
% 2.36/2.00 thf(func_def_11, type, combin_k_2E0: u).
% 2.36/2.00 thf(func_def_12, type, combin_s_2E0: u).
% 2.36/2.00 thf(func_def_13, type, c_2Ebool_2E_21_2E0: u).
% 2.36/2.00 thf(func_def_14, type, c_2Ebool_2E_21_2E1: du > u).
% 2.36/2.00 thf(func_def_15, type, c_2Earithmetic_2E_2B_2E0: u).
% 2.36/2.00 thf(func_def_16, type, c_2Earithmetic_2E_2B_2E2: du > du > u).
% 2.36/2.00 thf(func_def_17, type, c_2Earithmetic_2E_2D_2E0: u).
% 2.36/2.00 thf(func_def_18, type, c_2Earithmetic_2E_2D_2E2: du > du > u).
% 2.36/2.00 thf(func_def_19, type, c_2Ebool_2E_2F_5C_2E0: u).
% 2.36/2.00 thf(func_def_20, type, c_2Ebool_2E_2F_5C_2E2: du > du > u).
% 2.36/2.00 thf(func_def_21, type, c_2Earithmetic_2E_3C_3D_2E0: u).
% 2.36/2.00 thf(func_def_22, type, c_2Earithmetic_2E_3C_3D_2E2: du > du > u).
% 2.36/2.00 thf(func_def_23, type, c_2Emin_2E_3D_2E0: u).
% 2.36/2.00 thf(func_def_24, type, c_2Emin_2E_3D_2E2: du > du > u).
% 2.36/2.00 thf(func_def_25, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 2.36/2.00 thf(func_def_26, type, c_2Emin_2E_3D_3D_3E_2E2: du > du > u).
% 2.36/2.00 thf(func_def_27, type, c_2Ebool_2E_3F_2E0: u).
% 2.36/2.00 thf(func_def_28, type, c_2Ebool_2E_3F_2E1: du > u).
% 2.36/2.00 thf(func_def_29, type, c_2Ebool_2ECOND_2E0: u).
% 2.36/2.00 thf(func_def_30, type, c_2Ebool_2ECOND_2E3: du > du > du > u).
% 2.36/2.00 thf(func_def_31, type, c_2Ebool_2EF_2E0: u).
% 2.36/2.00 thf(func_def_32, type, c_2Ebool_2ET_2E0: u).
% 2.36/2.00 thf(func_def_33, type, c_2Ebool_2E_5C_2F_2E0: u).
% 2.36/2.00 thf(func_def_34, type, c_2Ebool_2E_5C_2F_2E2: du > du > u).
% 2.36/2.00 thf(func_def_35, type, c_2Ewords_2En2w_2E0: u).
% 2.36/2.00 thf(func_def_36, type, c_2Ewords_2En2w_2E1: du > u).
% 2.36/2.00 thf(func_def_37, type, c_2Ewords_2Eword__2comp_2E0: u).
% 2.36/2.00 thf(func_def_38, type, c_2Ewords_2Eword__2comp_2E1: du > u).
% 2.36/2.00 thf(func_def_39, type, c_2Ewords_2Eword__add_2E0: u).
% 2.36/2.00 thf(func_def_40, type, c_2Ewords_2Eword__add_2E2: du > du > u).
% 2.36/2.00 thf(func_def_41, type, c_2Ewords_2Eword__sub_2E0: u).
% 2.36/2.00 thf(func_def_42, type, c_2Ewords_2Eword__sub_2E2: du > du > u).
% 2.36/2.00 thf(func_def_43, type, c_2Ebool_2E_7E_2E0: u).
% 2.36/2.00 thf(func_def_44, type, c_2Ebool_2E_7E_2E1: du > u).
% 2.36/2.00 thf(func_def_45, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ($o > $o) > $o > $o).
% 2.36/2.00 thf(func_def_46, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o > $o) > $o > $o > $o).
% 2.36/2.00 thf(func_def_47, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Ebool: (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > $o).
% 2.36/2.00 thf(func_def_48, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 2.36/2.00 thf(func_def_49, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_50, type, mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_51, type, mono_2Ec_2Earithmetic_2E_2B: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_52, type, mono_2Ec_2Earithmetic_2E_2D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_53, type, mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o).
% 2.36/2.00 thf(func_def_54, type, mono_2Ec_2Earithmetic_2E_3C_3D: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 2.36/2.00 thf(func_def_55, type, mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o).
% 2.36/2.00 thf(func_def_58, type, mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o).
% 2.36/2.00 thf(func_def_59, type, mono_2Ec_2Ebool_2E_7E: $o > $o).
% 2.36/2.00 thf(func_def_60, type, i_mono_2Etyop_2Emin_2Ebool: $o > u).
% 2.36/2.00 thf(func_def_61, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ($o > $o) > u).
% 2.36/2.00 thf(func_def_62, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ($o > $o > $o) > u).
% 2.36/2.00 thf(func_def_63, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (mono_2Etyop_2Enum_2Enum > $o) > u).
% 2.36/2.00 thf(func_def_64, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o) > u).
% 2.36/2.00 thf(func_def_65, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u).
% 2.36/2.00 thf(func_def_66, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum) > u).
% 2.36/2.00 thf(func_def_67, type, i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u).
% 2.36/2.00 thf(func_def_68, type, j_mono_2Etyop_2Emin_2Ebool: du > $o).
% 2.36/2.00 thf(func_def_69, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o).
% 2.36/2.00 thf(func_def_70, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o).
% 2.36/2.00 thf(func_def_71, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Enum_2Enum > $o).
% 2.36/2.00 thf(func_def_72, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > $o).
% 2.36/2.00 thf(func_def_73, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_74, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_75, type, j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_80, type, sK0: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.36/2.00 thf(func_def_81, type, sK1: !>[X0: $tType]:((X0 > $o) > X0)).
% 2.36/2.00 thf(func_def_88, type, sK2: u > d > u).
% 2.36/2.00 thf(func_def_89, type, sK3: u > d > u).
% 2.36/2.00 thf(func_def_90, type, sK4: d > u > d > u > u).
% 2.36/2.00 thf(func_def_91, type, sK5: mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_92, type, sK6: mono_2Etyop_2Enum_2Enum).
% 2.36/2.00 thf(func_def_93, type, sK7: d).
% 2.36/2.00 thf(func_def_95, type, ph9: !>[X0: $tType]:(X0)).
% 2.36/2.00 thf(f879,plain,(
% 2.36/2.00 $false),
% 2.36/2.00 inference(trivial_inequality_removal,[status(thm)],[f842])).
% 2.36/2.00 thf(f842,plain,(
% 2.36/2.00 ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))))),
% 2.36/2.00 inference(superposition,[status(thm)],[f378,f562])).
% 2.36/2.00 thf(f562,plain,(
% 2.36/2.00 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))))) )),
% 2.36/2.00 inference(superposition,[status(thm)],[f276,f495])).
% 2.36/2.00 thf(f495,plain,(
% 2.36/2.00 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))))) )),
% 2.36/2.00 inference(superposition,[status(thm)],[f395,f472])).
% 2.36/2.00 thf(f472,plain,(
% 2.36/2.00 ( ! [X0 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK5 @ sK6))))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))))))) )),
% 2.36/2.00 inference(superposition,[status(thm)],[f344,f377])).
% 2.36/2.00 thf(f377,plain,(
% 2.36/2.00 ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6))),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f270])).
% 2.36/2.00 thf(f270,plain,(
% 2.36/2.00 ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5)))))) & ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6))),
% 2.36/2.00 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f268,f269])).
% 2.36/2.00 thf(f269,plain,(
% 2.36/2.00 ? [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum,X2 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X1)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0)))))) & ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1))) => (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5)))))) & ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ sK5 @ sK6)))),
% 2.36/2.00 introduced(definition,[],[choice_axiom])).
% 2.36/2.00 thf(f268,plain,(
% 2.36/2.00 ? [X0 : mono_2Etyop_2Enum_2Enum,X1 : mono_2Etyop_2Enum_2Enum,X2 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X1)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X2) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X1 @ X0)))))) & ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X1)))),
% 2.36/2.00 inference(rectify,[status(thm)],[f209])).
% 2.36/2.00 thf(f209,plain,(
% 2.36/2.00 ? [X0 : mono_2Etyop_2Enum_2Enum,X2 : mono_2Etyop_2Enum_2Enum,X1 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0)))))) & ($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2)))),
% 2.36/2.00 inference(ennf_transformation,[status(thm)],[f177])).
% 2.36/2.00 thf(f177,plain,(
% 2.36/2.00 ~! [X1 : d,X2 : mono_2Etyop_2Enum_2Enum,X0 : mono_2Etyop_2Enum_2Enum] : (($true = (mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2)) => ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0)))))))),
% 2.36/2.00 inference(fool_elimination,[status(thm)],[f176])).
% 2.36/2.00 thf(f176,plain,(
% 2.36/2.00 ~! [X0 : mono_2Etyop_2Enum_2Enum,X1 : d,X2 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_3C_3D @ X0 @ X2) => ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X0)))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X0)))))))),
% 2.36/2.00 inference(rectify,[status(thm)],[f64])).
% 2.36/2.00 thf(f64,negated_conjecture,(
% 2.36/2.00 ~! [X41 : mono_2Etyop_2Enum_2Enum,X0 : d,X40 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_3C_3D @ X41 @ X40) => ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X40 @ X41))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X40)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X41))))))))),
% 2.36/2.00 inference(negated_conjecture,[status(cth)],[f63])).
% 2.36/2.00 thf(f63,conjecture,(
% 2.36/2.00 ! [X41 : mono_2Etyop_2Enum_2Enum,X0 : d,X40 : mono_2Etyop_2Enum_2Enum] : ((mono_2Ec_2Earithmetic_2E_3C_3D @ X41 @ X40) => ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X40 @ X41))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X40)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X41))))))))),
% 2.36/2.00 file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2En2w__sub)).
% 2.36/2.00 thf(f344,plain,(
% 2.36/2.00 ( ! [X1 : d,X4 : mono_2Etyop_2Enum_2Enum,X5 : mono_2Etyop_2Enum_2Enum] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X4 @ X5))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X5 @ X4))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X4 @ X5))))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X5)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X4)))))))))) )),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f248])).
% 2.36/2.00 thf(f248,plain,(
% 2.36/2.00 ! [X0 : d,X1 : d] : (! [X2 : mono_2Etyop_2Enum_2Enum,X3 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X2 @ X3))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X3))))))))) & ! [X4 : mono_2Etyop_2Enum_2Enum,X5 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X4 @ X5))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X5 @ X4))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X4 @ X5))))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X5)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X4))))))))))),
% 2.36/2.00 inference(rectify,[status(thm)],[f165])).
% 2.36/2.00 thf(f165,plain,(
% 2.36/2.00 ! [X1 : d,X0 : d] : (! [X4 : mono_2Etyop_2Enum_2Enum,X5 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X4)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X5)))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X4 @ X5)))))))) & ! [X2 : mono_2Etyop_2Enum_2Enum,X3 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X3))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3))))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X3)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))))))))))),
% 2.36/2.00 inference(fool_elimination,[status(thm)],[f164])).
% 2.36/2.00 thf(f164,plain,(
% 2.36/2.00 ! [X0 : d,X1 : d] : (! [X2 : mono_2Etyop_2Enum_2Enum,X3 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X2 @ X3))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X3 @ X2))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X2 @ X3))))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X3)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X2))))))))) & ! [X4 : mono_2Etyop_2Enum_2Enum,X5 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X4)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X5)))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X4 @ X5)))))))))),
% 2.36/2.00 inference(rectify,[status(thm)],[f62])).
% 2.36/2.00 thf(f62,axiom,(
% 2.36/2.00 ! [X1 : d,X0 : d] : (! [X39 : mono_2Etyop_2Enum_2Enum,X38 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X38)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X39)))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Earithmetic_2E_3C_3D @ X39 @ X38))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X38 @ X39))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ X39 @ X38)))))))))) & ! [X36 : mono_2Etyop_2Enum_2Enum,X37 : mono_2Etyop_2Enum_2Enum] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X36)))))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ X37)))))))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2B @ X36 @ X37)))))))))),
% 2.36/2.00 file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2EWORD__LITERAL__ADD)).
% 2.36/2.00 thf(f395,plain,(
% 2.36/2.00 ( ! [X3 : u,X0 : d,X4 : u] : (((s @ X0 @ X4) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)) @ (s @ X0 @ X4) @ (s @ X0 @ X3))))) )),
% 2.36/2.00 inference(definition_unfolding,[status(thm)],[f317,f311])).
% 2.36/2.00 thf(f311,plain,(
% 2.36/2.00 (mono_2Ec_2Ebool_2ET = $true)),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f107])).
% 2.36/2.00 thf(f107,plain,(
% 2.36/2.00 (mono_2Ec_2Ebool_2ET = $true)),
% 2.36/2.00 inference(fool_elimination,[status(thm)],[f106])).
% 2.36/2.00 thf(f106,plain,(
% 2.36/2.00 mono_2Ec_2Ebool_2ET),
% 2.36/2.00 inference(rectify,[status(thm)],[f52])).
% 2.36/2.00 thf(f52,axiom,(
% 2.36/2.00 mono_2Ec_2Ebool_2ET),
% 2.36/2.00 file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ebool_2ETRUTH)).
% 2.36/2.00 thf(f317,plain,(
% 2.36/2.00 ( ! [X3 : u,X0 : d,X4 : u] : (((s @ X0 @ X4) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X4) @ (s @ X0 @ X3))))) )),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f73])).
% 2.36/2.00 thf(f73,plain,(
% 2.36/2.00 ! [X0 : d] : (! [X1 : u,X2 : u] : ((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X2) @ (s @ X0 @ X1))) = (s @ X0 @ X1)) & ! [X3 : u,X4 : u] : ((s @ X0 @ X4) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X4) @ (s @ X0 @ X3)))))),
% 2.36/2.00 inference(fool_elimination,[status(thm)],[f72])).
% 2.36/2.00 thf(f72,plain,(
% 2.36/2.00 ! [X0 : d] : (! [X1 : u,X2 : u] : ((s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X2) @ (s @ X0 @ X1))) = (s @ X0 @ X1)) & ! [X3 : u,X4 : u] : ((s @ X0 @ X4) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X4) @ (s @ X0 @ X3)))))),
% 2.36/2.00 inference(rectify,[status(thm)],[f60])).
% 2.36/2.00 thf(f60,axiom,(
% 2.36/2.00 ! [X0 : d] : (! [X33 : u,X32 : u] : ((s @ X0 @ X33) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF)) @ (s @ X0 @ X32) @ (s @ X0 @ X33)))) & ! [X31 : u,X30 : u] : ((s @ X0 @ X30) = (s @ X0 @ (c_2Ebool_2ECOND_2E3 @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET)) @ (s @ X0 @ X30) @ (s @ X0 @ X31)))))),
% 2.36/2.00 file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ebool_2Ebool__case__thm)).
% 2.36/2.00 thf(f276,plain,(
% 2.36/2.00 ( ! [X2 : u,X0 : u,X1 : d] : (((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))))))) )),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f77])).
% 2.36/2.00 thf(f77,plain,(
% 2.36/2.00 ! [X0 : u,X1 : d,X2 : u] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))))))),
% 2.36/2.00 inference(fool_elimination,[status(thm)],[f76])).
% 2.36/2.00 thf(f76,plain,(
% 2.36/2.00 ! [X0 : u,X1 : d,X2 : u] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X2) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X1) @ X0))))))),
% 2.36/2.00 inference(rectify,[status(thm)],[f61])).
% 2.36/2.00 thf(f61,axiom,(
% 2.36/2.00 ! [X35 : u,X0 : d,X34 : u] : ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ X34) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ X35))) = (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__add_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ X34) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ (c_2Ewords_2Eword__2comp_2E1 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ X0) @ X35))))))),
% 2.36/2.00 file('/export/starexec/sandbox/tmp/tmp.U1ztbmLYcB/DTF2THF_19867.p',thm_2Ewords_2Eword__sub__def)).
% 2.36/2.00 thf(f378,plain,(
% 2.36/2.00 ((s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2Eword__sub_2E2 @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK6)))) @ (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ sK5)))))) != (s @ (tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK7) @ (c_2Ewords_2En2w_2E1 @ (s @ tyop_2Enum_2Enum @ (i_mono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Earithmetic_2E_2D @ sK6 @ sK5))))))),
% 2.36/2.00 inference(cnf_transformation,[status(thm)],[f270])).
% 2.36/2.00 % SZS output end Proof for DTF2THF_19867
% 2.36/2.00 % (20147)------------------------------
% 2.36/2.00 % (20147)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 2.36/2.00 % (20147)Termination reason: Refutation
% 2.36/2.00
% 2.36/2.00 % (20147)Memory used [KB]: 6780
% 2.36/2.00 % (20147)Time elapsed: 0.098 s
% 2.36/2.00 % (20147)Instructions burned: 339 (million)
% 2.36/2.00 % (20147)------------------------------
% 2.36/2.00 % (20147)------------------------------
% 2.36/2.00 % (20042)Success in time 0.32 s
%------------------------------------------------------------------------------