TSTP Solution File: ITP025^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP025^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 03:17:20 EDT 2023
% Result : Timeout 299.79s 300.15s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : ITP025^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.12/0.18 % Command : do_cvc5 %s %d
% 0.19/0.39 % Computer : n031.cluster.edu
% 0.19/0.39 % Model : x86_64 x86_64
% 0.19/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39 % Memory : 8042.1875MB
% 0.19/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39 % CPULimit : 300
% 0.19/0.39 % WCLimit : 300
% 0.19/0.39 % DateTime : Sun Aug 27 11:37:24 EDT 2023
% 0.19/0.39 % CPUTime :
% 0.26/0.58 %----Proving TH0
% 0.26/0.58 %------------------------------------------------------------------------------
% 0.26/0.58 % File : ITP025^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.26/0.58 % Domain : Interactive Theorem Proving
% 0.26/0.58 % Problem : HOL4 syntactic export of thm_2Elebesgue_2Epos__fn__integral__cmul.p, bushy mode
% 0.26/0.58 % Version : [BG+19] axioms.
% 0.26/0.58 % English :
% 0.26/0.58
% 0.26/0.58 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.26/0.58 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.26/0.58 % Source : [BG+19]
% 0.26/0.58 % Names : thm_2Elebesgue_2Epos__fn__integral__cmul.p [Gau19]
% 0.26/0.58 % : HL412001^1.p [TPAP]
% 0.26/0.58
% 0.26/0.58 % Status : Theorem
% 0.26/0.58 % Rating : 1.00 v7.5.0
% 0.26/0.58 % Syntax : Number of formulae : 355 ( 130 unt; 175 typ; 0 def)
% 0.26/0.58 % Number of atoms : 353 ( 167 equ; 47 cnn)
% 0.26/0.58 % Maximal formula atoms : 8 ( 1 avg)
% 0.26/0.58 % Number of connectives : 3672 ( 47 ~; 32 |; 55 &;3425 @)
% 0.26/0.58 % ( 54 <=>; 59 =>; 0 <=; 0 <~>)
% 0.26/0.58 % Maximal formula depth : 31 ( 5 avg)
% 0.26/0.58 % Number of types : 8 ( 7 usr)
% 0.26/0.58 % Number of type conns : 380 ( 380 >; 0 *; 0 +; 0 <<)
% 0.26/0.58 % Number of symbols : 170 ( 168 usr; 48 con; 0-3 aty)
% 0.26/0.58 % Number of variables : 404 ( 0 ^; 400 !; 4 ?; 404 :)
% 0.26/0.58 % SPC : TH0_THM_EQU_NAR
% 0.26/0.58
% 0.26/0.58 % Comments :
% 0.26/0.58 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.26/0.58 %------------------------------------------------------------------------------
% 0.26/0.58 thf(u,type,
% 0.26/0.58 u: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(d,type,
% 0.26/0.58 d: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(du,type,
% 0.26/0.58 du: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Etyop_2Eextreal_2Eextreal: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Etyop_2Enum_2Enum,type,
% 0.26/0.58 mono_2Etyop_2Enum_2Enum: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Etyop_2Erealax_2Ereal,type,
% 0.26/0.58 mono_2Etyop_2Erealax_2Ereal: $tType ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 tyop_2Eextreal_2Eextreal: d ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Emin_2Ebool,type,
% 0.26/0.58 tyop_2Emin_2Ebool: d ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Emin_2Efun,type,
% 0.26/0.58 tyop_2Emin_2Efun: d > d > d ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Enum_2Enum,type,
% 0.26/0.58 tyop_2Enum_2Enum: d ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Epair_2Eprod,type,
% 0.26/0.58 tyop_2Epair_2Eprod: d > d > d ).
% 0.26/0.58
% 0.26/0.58 thf(tyop_2Erealax_2Ereal,type,
% 0.26/0.58 tyop_2Erealax_2Ereal: d ).
% 0.26/0.58
% 0.26/0.58 thf(s,type,
% 0.26/0.58 s: d > u > du ).
% 0.26/0.58
% 0.26/0.58 thf(app_2E2,type,
% 0.26/0.58 app_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(combin_i_2E0,type,
% 0.26/0.58 combin_i_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(combin_k_2E0,type,
% 0.26/0.58 combin_k_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(combin_s_2E0,type,
% 0.26/0.58 combin_s_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_21_2E0,type,
% 0.26/0.58 c_2Ebool_2E_21_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_21_2E1,type,
% 0.26/0.58 c_2Ebool_2E_21_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Epair_2E_2C_2E0,type,
% 0.26/0.58 c_2Epair_2E_2C_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Epair_2E_2C_2E2,type,
% 0.26/0.58 c_2Epair_2E_2C_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.26/0.58 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.26/0.58 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Enum_2E0_2E0,type,
% 0.26/0.58 c_2Enum_2E0_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emin_2E_3D_2E0,type,
% 0.26/0.58 c_2Emin_2E_3D_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emin_2E_3D_2E2,type,
% 0.26/0.58 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.26/0.58 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.26/0.58 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_3F_2E0,type,
% 0.26/0.58 c_2Ebool_2E_3F_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_3F_2E1,type,
% 0.26/0.58 c_2Ebool_2E_3F_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2EBOUNDED_2E0,type,
% 0.26/0.58 c_2Ebool_2EBOUNDED_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2EBOUNDED_2E1,type,
% 0.26/0.58 c_2Ebool_2EBOUNDED_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2EC_2E0,type,
% 0.26/0.58 c_2Ecombin_2EC_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2EC_2E3,type,
% 0.26/0.58 c_2Ecombin_2EC_2E3: du > du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2EF_2E0,type,
% 0.26/0.58 c_2Ebool_2EF_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Epred__set_2EGSPEC_2E0,type,
% 0.26/0.58 c_2Epred__set_2EGSPEC_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Epred__set_2EGSPEC_2E1,type,
% 0.26/0.58 c_2Epred__set_2EGSPEC_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2EI_2E0,type,
% 0.26/0.58 c_2Ecombin_2EI_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2EI_2E1,type,
% 0.26/0.58 c_2Ecombin_2EI_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2EIN_2E0,type,
% 0.26/0.58 c_2Ebool_2EIN_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2EIN_2E2,type,
% 0.26/0.58 c_2Ebool_2EIN_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2ENegInf_2E0,type,
% 0.26/0.58 c_2Eextreal_2ENegInf_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2ENormal_2E0,type,
% 0.26/0.58 c_2Eextreal_2ENormal_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2ENormal_2E1,type,
% 0.26/0.58 c_2Eextreal_2ENormal_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2EPosInf_2E0,type,
% 0.26/0.58 c_2Eextreal_2EPosInf_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2ES_2E0,type,
% 0.26/0.58 c_2Ecombin_2ES_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2ES_2E3,type,
% 0.26/0.58 c_2Ecombin_2ES_2E3: du > du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2ET_2E0,type,
% 0.26/0.58 c_2Ebool_2ET_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.26/0.58 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.26/0.58 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__div_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__div_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__div_2E2,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__div_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__inv_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__inv_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__inv_2E1,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__inv_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__le_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__le_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__le_2E2,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__le_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__mul_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__mul_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__mul_2E2,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__mul_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__of__num_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__of__num_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__of__num_2E1,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__of__num_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__sup_2E0,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__sup_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Eextreal_2Eextreal__sup_2E1,type,
% 0.26/0.58 c_2Eextreal_2Eextreal__sup_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Erealax_2Einv_2E0,type,
% 0.26/0.58 c_2Erealax_2Einv_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Erealax_2Einv_2E1,type,
% 0.26/0.58 c_2Erealax_2Einv_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emeasure_2Em__space_2E0,type,
% 0.26/0.58 c_2Emeasure_2Em__space_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emeasure_2Em__space_2E1,type,
% 0.26/0.58 c_2Emeasure_2Em__space_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emeasure_2Emeasure__space_2E0,type,
% 0.26/0.58 c_2Emeasure_2Emeasure__space_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Emeasure_2Emeasure__space_2E1,type,
% 0.26/0.58 c_2Emeasure_2Emeasure__space_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2Eo_2E0,type,
% 0.26/0.58 c_2Ecombin_2Eo_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2Eo_2E2,type,
% 0.26/0.58 c_2Ecombin_2Eo_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ecombin_2Eo_2E3,type,
% 0.26/0.58 c_2Ecombin_2Eo_2E3: du > du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Elebesgue_2Epos__fn__integral_2E0,type,
% 0.26/0.58 c_2Elebesgue_2Epos__fn__integral_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Elebesgue_2Epos__fn__integral_2E2,type,
% 0.26/0.58 c_2Elebesgue_2Epos__fn__integral_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Elebesgue_2Epsfis_2E0,type,
% 0.26/0.58 c_2Elebesgue_2Epsfis_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Elebesgue_2Epsfis_2E2,type,
% 0.26/0.58 c_2Elebesgue_2Epsfis_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Erealax_2Ereal__lt_2E0,type,
% 0.26/0.58 c_2Erealax_2Ereal__lt_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Erealax_2Ereal__lt_2E2,type,
% 0.26/0.58 c_2Erealax_2Ereal__lt_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ereal_2Ereal__lte_2E0,type,
% 0.26/0.58 c_2Ereal_2Ereal__lte_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ereal_2Ereal__lte_2E2,type,
% 0.26/0.58 c_2Ereal_2Ereal__lte_2E2: du > du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ereal_2Ereal__of__num_2E0,type,
% 0.26/0.58 c_2Ereal_2Ereal__of__num_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ereal_2Ereal__of__num_2E1,type,
% 0.26/0.58 c_2Ereal_2Ereal__of__num_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_7E_2E0,type,
% 0.26/0.58 c_2Ebool_2E_7E_2E0: u ).
% 0.26/0.58
% 0.26/0.58 thf(c_2Ebool_2E_7E_2E1,type,
% 0.26/0.58 c_2Ebool_2E_7E_2E1: du > u ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ) > mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: ( ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ) > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal: ( ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal ) > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o ) > ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,type,
% 0.26/0.58 mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.26/0.58 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Enum_2E0,type,
% 0.26/0.58 mono_2Ec_2Enum_2E0: mono_2Etyop_2Enum_2Enum ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.26/0.58 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2EBOUNDED,type,
% 0.26/0.58 mono_2Ec_2Ebool_2EBOUNDED: $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2EF,type,
% 0.26/0.58 mono_2Ec_2Ebool_2EF: $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2ENegInf,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2ENegInf: mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2ENormal,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2ENormal: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2EPosInf,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2EPosInf: mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2ET,type,
% 0.26/0.58 mono_2Ec_2Ebool_2ET: $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.26/0.58 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__div,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__div: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__inv,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__inv: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__le,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__le: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__mul,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__mul: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__of__num,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Eextreal_2Eextreal__sup,type,
% 0.26/0.58 mono_2Ec_2Eextreal_2Eextreal__sup: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Erealax_2Einv,type,
% 0.26/0.58 mono_2Ec_2Erealax_2Einv: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Erealax_2Ereal__lt,type,
% 0.26/0.58 mono_2Ec_2Erealax_2Ereal__lt: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ereal_2Ereal__lte,type,
% 0.26/0.58 mono_2Ec_2Ereal_2Ereal__lte: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ereal_2Ereal__of__num,type,
% 0.26/0.58 mono_2Ec_2Ereal_2Ereal__of__num: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.26/0.58 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 i_mono_2Etyop_2Eextreal_2Eextreal: mono_2Etyop_2Eextreal_2Eextreal > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: ( ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: ( ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: ( ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
% 0.26/0.58 i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: ( mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ) > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Enum_2Enum,type,
% 0.26/0.58 i_mono_2Etyop_2Enum_2Enum: mono_2Etyop_2Enum_2Enum > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 > u ).
% 0.26/0.58
% 0.26/0.58 thf(i_mono_2Etyop_2Erealax_2Ereal,type,
% 0.26/0.58 i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Eextreal_2Eextreal,type,
% 0.26/0.58 j_mono_2Etyop_2Eextreal_2Eextreal: du > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: du > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29: du > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29: du > ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,type,
% 0.26/0.58 j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Enum_2Enum,type,
% 0.26/0.58 j_mono_2Etyop_2Enum_2Enum: du > mono_2Etyop_2Enum_2Enum ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,type,
% 0.26/0.58 j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ).
% 0.26/0.58
% 0.26/0.58 thf(j_mono_2Etyop_2Erealax_2Ereal,type,
% 0.26/0.58 j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.26/0.58 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.26/0.58 ( ! [V2x_2E0: u] :
% 0.26/0.58 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.26/0.58 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.26/0.58 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.26/0.58 ! [A_27a: d,V0x_2E0: u] :
% 0.26/0.58 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.26/0.58 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.26/0.58 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) )
% 0.26/0.58 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Eho_2Es__thm,axiom,
% 0.26/0.58 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) )
% 0.26/0.58 = ( 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 ) ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.26/0.58 ! [V0: $o,V1: $o] :
% 0.26/0.58 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.26/0.58 <=> ( V0
% 0.26/0.58 & V1 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.26/0.58 ! [V0: $o,V1: $o] :
% 0.26/0.58 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.26/0.58 <=> ( V0
% 0.26/0.58 | V1 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Elogic_2E_7E,axiom,
% 0.26/0.58 ! [V0: $o] :
% 0.26/0.58 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.26/0.58 <=> ( (~) @ V0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.26/0.58 ! [V0: $o,V1: $o] :
% 0.26/0.58 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.26/0.58 <=> ( V0
% 0.26/0.58 => V1 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Elogic_2E_3D,axiom,
% 0.26/0.58 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.26/0.58 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.26/0.58 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.26/0.58 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Equant_2E_21,axiom,
% 0.26/0.58 ! [A_27a: d,V0f_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) ) )
% 0.26/0.58 <=> ! [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 ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(reserved_2Equant_2E_3F,axiom,
% 0.26/0.58 ! [A_27a: d,V0f_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) ) )
% 0.26/0.58 <=> ? [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 ) ) ) ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ tyop_2Eextreal_2Eextreal @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( 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 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
% 0.26/0.58 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
% 0.26/0.58
% 0.26/0.58 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.58 ! [V0_2E0: u] :
% 0.26/0.58 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Eextreal_2Eextreal ) @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ tyop_2Enum_2Enum @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ij_2Emono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0_2E0: u] :
% 0.26/0.59 ( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ V0_2E0 ) ) ) )
% 0.26/0.59 = ( s @ tyop_2Erealax_2Ereal @ V0_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: $o > $o] :
% 0.26/0.59 ( ( 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 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: $o > $o > $o] :
% 0.26/0.59 ( ( 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 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Enum_2Enum,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Enum_2Enum @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(ji_2Emono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Erealax_2Ereal @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V0 ) ) )
% 0.26/0.59 = V0 ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.59 ( ( 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 ) ) ) )
% 0.26/0.59 = ( 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 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Epair_2E_2C_2E2_2Emono_2EA_27a_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u,X1: $o] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X1 ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) ) @ c_2Epair_2E_2C_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( ( s @ A_27a @ X0_2E0 )
% 0.26/0.59 = ( s @ A_27a @ X1_2E0 ) )
% 0.26/0.59 <=> ( 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 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.59 ( ( 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 ) ) ) )
% 0.26/0.59 = ( 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 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq3_2Ec_2Ecombin_2EC_2E3_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.26/0.59 ( ( s @ A_27c @ ( c_2Ecombin_2EC_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ X0_2E0 ) @ ( s @ A_27b @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ 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 @ A_27b @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ c_2Ecombin_2EC_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ X0_2E0 ) ) ) @ ( s @ A_27b @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Epred__set_2EGSPEC_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,X0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EGSPEC_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Epred__set_2EGSPEC_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ X0_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Ecombin_2EI_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.59 ( ( s @ A_27a @ ( c_2Ecombin_2EI_2E1 @ ( s @ A_27a @ X0_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ c_2Ecombin_2EI_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.26/0.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2EIN_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq3_2Ec_2Ecombin_2ES_2E3_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.26/0.59 ( ( s @ A_27c @ ( c_2Ecombin_2ES_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.26/0.59 = ( 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 ) ) ) @ c_2Ecombin_2ES_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Emeasure_2Em__space_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Emeasure_2Em__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emeasure_2Em__space_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq1_2Ec_2Emeasure_2Emeasure__space_2E1_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emeasure_2Emeasure__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) ) )
% 0.26/0.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ tyop_2Emin_2Ebool ) @ c_2Emeasure_2Emeasure__space_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Ecombin_2Eo_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ecombin_2Eo_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ X1_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ c_2Ecombin_2Eo_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ X1_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Ecombin_2Eo_2E2_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27b,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ecombin_2Eo_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ c_2Ecombin_2Eo_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X1_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq3_2Ec_2Ecombin_2Eo_2E3_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.26/0.59 ( ( s @ A_27b @ ( c_2Ecombin_2Eo_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27c @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) ) ) @ c_2Ecombin_2Eo_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Elebesgue_2Epos__fn__integral_2E2_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Elebesgue_2Epos__fn__integral_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ X1_2E0 ) ) ) )
% 0.26/0.59 = ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Eextreal_2Eextreal ) ) @ c_2Elebesgue_2Epos__fn__integral_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ X1_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(arityeq2_2Ec_2Elebesgue_2Epsfis_2E2_2Emono_2EA_27a,axiom,
% 0.26/0.59 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Elebesgue_2Epsfis_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ X1_2E0 ) ) ) )
% 0.26/0.59 = ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ c_2Elebesgue_2Epsfis_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ X1_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: $o > $o,V1: $o] :
% 0.26/0.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( 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 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: $o > $o > $o,V1: $o] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( 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 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: $o] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Eextreal_2Eextreal ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o,V1: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ tyop_2Enum_2Enum @ ( i_mono_2Etyop_2Enum_2Enum @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Eextreal_2Eextreal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ ( V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Erealax_2Ereal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ tyop_2Erealax_2Ereal ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 @ V0 ) ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 @ mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ c_2Epair_2E_2C_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Epair_2E_2C_2E2_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal,V1: $o] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool @ V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Epred__set_2EGSPEC_2E0_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ c_2Epred__set_2EGSPEC_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Epred__set_2EGSPEC_2E1_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EGSPEC_2E1 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E0_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 @ mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2Ebool_2EIN_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoeq_2Emono_2Ec_2Ebool_2EIN_2E2_2Emono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal @ V0 @ V1 ) ) )
% 0.26/0.59 = ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V0 ) ) @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ V1 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: $o > $o,V1: $o] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: $o > $o > $o,V1: $o] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: $o] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > $o > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,V1: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > $o,V1: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > $o ) > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Eextreal_2Eextreal > $o] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: ( mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ) > mono_2Etyop_2Eextreal_2Eextreal > $o,V1: mono_2Etyop_2Eextreal_2Eextreal > mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Eextreal_2Eextreal,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal > $o,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal,axiom,
% 0.26/0.59 ! [V0: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal,V1: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( V0 @ V1 )
% 0.26/0.59 = ( V0 @ V1 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EETA__AX,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,V0M_2E0: u,V1x_2E0: u] :
% 0.26/0.59 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0M_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0M_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.26/0.59 mono_2Ec_2Ebool_2ET ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EIMP__ANTISYM__AX,axiom,
% 0.26/0.59 ! [V0t1: $o,V1t2: $o] :
% 0.26/0.59 ( ( V0t1
% 0.26/0.59 => V1t2 )
% 0.26/0.59 => ( ( V1t2
% 0.26/0.59 => V0t1 )
% 0.26/0.59 => ( V0t1 = V1t2 ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EFALSITY,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( mono_2Ec_2Ebool_2EF
% 0.26/0.59 => V0t ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EEXCLUDED__MIDDLE,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( V0t
% 0.26/0.59 | ( (~) @ V0t ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EFORALL__SIMP,axiom,
% 0.26/0.59 ! [A_27a: d,V0t: $o] :
% 0.26/0.59 ( ! [V1x_2E0: u] : V0t
% 0.26/0.59 <=> V0t ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( ( ( mono_2Ec_2Ebool_2ET
% 0.26/0.59 & V0t )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 & mono_2Ec_2Ebool_2ET )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( mono_2Ec_2Ebool_2EF
% 0.26/0.59 & V0t )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2EF )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 & mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2EF )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 & V0t )
% 0.26/0.59 <=> V0t ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( ( ( mono_2Ec_2Ebool_2ET
% 0.26/0.59 => V0t )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 => mono_2Ec_2Ebool_2ET )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( mono_2Ec_2Ebool_2EF
% 0.26/0.59 => V0t )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 => V0t )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( V0t
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> ( (~) @ V0t ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.26/0.59 ( ! [V0t: $o] :
% 0.26/0.59 ( ( (~) @ ( (~) @ V0t ) )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2EF )
% 0.26/0.59 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.26/0.59 ! [A_27a: d,V0x_2E0: u] :
% 0.26/0.59 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.26/0.59 = ( s @ A_27a @ V0x_2E0 ) )
% 0.26/0.59 <=> mono_2Ec_2Ebool_2ET ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.26/0.59 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.26/0.59 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.26/0.59 = ( s @ A_27a @ V1y_2E0 ) )
% 0.26/0.59 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.26/0.59 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EFUN__EQ__THM,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.26/0.59 ( ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) )
% 0.26/0.59 <=> ! [V2x_2E0: u] :
% 0.26/0.59 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.26/0.59 <=> V0t )
% 0.26/0.59 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.26/0.59 <=> ( (~) @ V0t ) )
% 0.26/0.59 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> ( (~) @ V0t ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2ERIGHT__AND__FORALL__THM,axiom,
% 0.26/0.59 ! [A_27a: d,V0P: $o,V1Q_2E0: u] :
% 0.26/0.59 ( ( V0P
% 0.26/0.59 & ! [V2x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.26/0.59 <=> ! [V3x_2E0: u] :
% 0.26/0.59 ( V0P
% 0.26/0.59 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2ERIGHT__OR__OVER__AND,axiom,
% 0.26/0.59 ! [V0A: $o,V1B: $o,V2C: $o] :
% 0.26/0.59 ( ( ( V1B
% 0.26/0.59 & V2C )
% 0.26/0.59 | V0A )
% 0.26/0.59 <=> ( ( V1B
% 0.26/0.59 | V0A )
% 0.26/0.59 & ( V2C
% 0.26/0.59 | V0A ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.26/0.59 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 0.26/0.59 ( ( V0t1
% 0.26/0.59 => ( V1t2
% 0.26/0.59 => V2t3 ) )
% 0.26/0.59 <=> ( ( V0t1
% 0.26/0.59 & V1t2 )
% 0.26/0.59 => V2t3 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EIMP__CONG,axiom,
% 0.26/0.59 ! [V0x: $o,V1x_27: $o,V2y: $o,V3y_27: $o] :
% 0.26/0.59 ( ( ( V0x = V1x_27 )
% 0.26/0.59 & ( V1x_27
% 0.26/0.59 => ( V2y = V3y_27 ) ) )
% 0.26/0.59 => ( ( V0x
% 0.26/0.59 => V2y )
% 0.26/0.59 <=> ( V1x_27
% 0.26/0.59 => V3y_27 ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EUNWIND__THM2,axiom,
% 0.26/0.59 ! [A_27a: d,V0P_2E0: u,V1a_2E0: u] :
% 0.26/0.59 ( ? [V2x_2E0: u] :
% 0.26/0.59 ( ( ( s @ A_27a @ V2x_2E0 )
% 0.26/0.59 = ( s @ A_27a @ V1a_2E0 ) )
% 0.26/0.59 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) )
% 0.26/0.59 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V1a_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ebool_2EBOUNDED__THM,axiom,
% 0.26/0.59 ! [V0v: $o] :
% 0.26/0.59 ( ( mono_2Ec_2Ebool_2EBOUNDED @ V0v )
% 0.26/0.59 = mono_2Ec_2Ebool_2ET ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ecombin_2ES__DEF,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,V0x_2E0: u,V1x_27_2E0: u,V2x_27_27_2E0: u] :
% 0.26/0.59 ( ( s @ A_27c @ ( c_2Ecombin_2ES_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1x_27_2E0 ) @ ( s @ A_27a @ V2x_27_27_2E0 ) ) )
% 0.26/0.59 = ( 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 ) ) @ V0x_2E0 ) @ ( s @ A_27a @ V2x_27_27_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1x_27_2E0 ) @ ( s @ A_27a @ V2x_27_27_2E0 ) ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ecombin_2EC__DEF,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,V0x_2E0: u,V1x_27_2E0: u,V2x_27_27_2E0: u] :
% 0.26/0.59 ( ( s @ A_27c @ ( c_2Ecombin_2EC_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0x_2E0 ) @ ( s @ A_27b @ V1x_27_2E0 ) @ ( s @ A_27a @ V2x_27_27_2E0 ) ) )
% 0.26/0.59 = ( 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 ) ) @ V0x_2E0 ) @ ( s @ A_27a @ V2x_27_27_2E0 ) ) ) @ ( s @ A_27b @ V1x_27_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ecombin_2Eo__DEF,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.26/0.59 ( ( s @ A_27b @ ( c_2Ecombin_2Eo_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ecombin_2EI__THM,axiom,
% 0.26/0.59 ! [A_27a: d,V0x_2E0: u] :
% 0.26/0.59 ( ( s @ A_27a @ ( c_2Ecombin_2EI_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.26/0.59 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ecombin_2EI__o__ID,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,V0f_2E0: u] :
% 0.26/0.59 ( ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ecombin_2Eo_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27b ) @ c_2Ecombin_2EI_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) )
% 0.26/0.59 & ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( c_2Ecombin_2Eo_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ c_2Ecombin_2EI_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Eextreal__of__num__def,axiom,
% 0.26/0.59 ! [V0n: mono_2Etyop_2Enum_2Enum] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__of__num @ V0n )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2ENormal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ V0n ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Eextreal__le__def,axiom,
% 0.26/0.59 ! [V0y: mono_2Etyop_2Erealax_2Ereal,V1x: mono_2Etyop_2Erealax_2Ereal,V2v5: mono_2Etyop_2Erealax_2Ereal,V3v3: mono_2Etyop_2Erealax_2Ereal,V4v2: mono_2Etyop_2Erealax_2Ereal,V5a: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2ENormal @ V1x ) @ ( mono_2Ec_2Eextreal_2ENormal @ V0y ) )
% 0.26/0.59 = ( mono_2Ec_2Ereal_2Ereal__lte @ V1x @ V0y ) )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ mono_2Ec_2Eextreal_2ENegInf @ V5a )
% 0.26/0.59 = mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ mono_2Ec_2Eextreal_2EPosInf @ mono_2Ec_2Eextreal_2EPosInf )
% 0.26/0.59 = mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2ENormal @ V4v2 ) @ mono_2Ec_2Eextreal_2EPosInf )
% 0.26/0.59 = mono_2Ec_2Ebool_2ET )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ mono_2Ec_2Eextreal_2EPosInf @ mono_2Ec_2Eextreal_2ENegInf )
% 0.26/0.59 = mono_2Ec_2Ebool_2EF )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2ENormal @ V3v3 ) @ mono_2Ec_2Eextreal_2ENegInf )
% 0.26/0.59 = mono_2Ec_2Ebool_2EF )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__le @ mono_2Ec_2Eextreal_2EPosInf @ ( mono_2Ec_2Eextreal_2ENormal @ V2v5 ) )
% 0.26/0.59 = mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Eextreal__inv__def,axiom,
% 0.26/0.59 ( ( ( mono_2Ec_2Eextreal_2Eextreal__inv @ mono_2Ec_2Eextreal_2ENegInf )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2ENormal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
% 0.26/0.59 & ( ( mono_2Ec_2Eextreal_2Eextreal__inv @ mono_2Ec_2Eextreal_2EPosInf )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2ENormal @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) ) )
% 0.26/0.59 & ! [V0x: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__inv @ ( mono_2Ec_2Eextreal_2ENormal @ V0x ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2ENormal @ ( mono_2Ec_2Erealax_2Einv @ V0x ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Eextreal__div__def,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__div @ V0x @ V1y )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__mul @ V0x @ ( mono_2Ec_2Eextreal_2Eextreal__inv @ V1y ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Emul__lzero,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__mul @ ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Ele__lmul__imp,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) @ V2z )
% 0.26/0.59 & ( mono_2Ec_2Eextreal_2Eextreal__le @ V0x @ V1y ) )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__mul @ V2z @ V0x ) @ ( mono_2Ec_2Eextreal_2Eextreal__mul @ V2z @ V1y ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Emul__comm,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Eextreal_2Eextreal,V1y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__mul @ V0x @ V1y )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__mul @ V1y @ V0x ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Ele__rdiv,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x )
% 0.26/0.59 => ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__mul @ V1y @ ( mono_2Ec_2Eextreal_2ENormal @ V0x ) ) @ V2z )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ ( mono_2Ec_2Eextreal_2Eextreal__div @ V2z @ ( mono_2Ec_2Eextreal_2ENormal @ V0x ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Ele__ldiv,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Eextreal_2Eextreal,V2z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Erealax_2Ereal__lt @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x )
% 0.26/0.59 => ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1y @ ( mono_2Ec_2Eextreal_2Eextreal__mul @ V2z @ ( mono_2Ec_2Eextreal_2ENormal @ V0x ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__div @ V1y @ ( mono_2Ec_2Eextreal_2ENormal @ V0x ) ) @ V2z ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Esup__le,axiom,
% 0.26/0.59 ! [V0p: mono_2Etyop_2Eextreal_2Eextreal > $o,V1x: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__sup @ V0p ) @ V1x )
% 0.26/0.59 <=> ! [V2y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0p @ V2y )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V1x ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Ele__sup,axiom,
% 0.26/0.59 ! [V0p: mono_2Etyop_2Eextreal_2Eextreal > $o,V1x: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ ( mono_2Ec_2Eextreal_2Eextreal__sup @ V0p ) )
% 0.26/0.59 <=> ! [V2y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ! [V3z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0p @ V3z )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V3z @ V2y ) )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V2y ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Eextreal_2Esup__eq,axiom,
% 0.26/0.59 ! [V0p: mono_2Etyop_2Eextreal_2Eextreal > $o,V1x: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( ( mono_2Ec_2Eextreal_2Eextreal__sup @ V0p )
% 0.26/0.59 = V1x )
% 0.26/0.59 <=> ( ! [V2y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0p @ V2y )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V2y @ V1x ) )
% 0.26/0.59 & ! [V3y: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ! [V4z: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( V0p @ V4z )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V4z @ V3y ) )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ V1x @ V3y ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Elebesgue_2Epos__fn__integral__def,axiom,
% 0.26/0.59 ! [A_27a: d,F1_2E0: u,F0_2E0: u] :
% 0.26/0.59 ( ! [V2r: mono_2Etyop_2Eextreal_2Eextreal,V0m_2E0: u,V1f_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) ) ) @ F1_2E0 ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V2r ) ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) )
% 0.26/0.59 <=> ? [V3g_2E0: u] :
% 0.26/0.59 ( ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal @ V2r @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Elebesgue_2Epsfis_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V3g_2E0 ) ) ) ) )
% 0.26/0.59 & ! [V4x_2E0: u] : ( mono_2Ec_2Eextreal_2Eextreal__le @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V3g_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) ) )
% 0.26/0.59 => ( ! [V0m_2E0: u,V1f_2E0: u,V2r: mono_2Etyop_2Eextreal_2Eextreal] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) @ V2r )
% 0.26/0.59 = ( mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool @ V2r @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ tyop_2Emin_2Ebool ) ) ) @ F1_2E0 ) @ ( s @ tyop_2Eextreal_2Eextreal @ ( i_mono_2Etyop_2Eextreal_2Eextreal @ V2r ) ) ) ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) ) )
% 0.26/0.59 => ! [V0m_2E0: u,V1f_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Elebesgue_2Epos__fn__integral_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__sup @ ( mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ ( tyop_2Epair_2Eprod @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) ) ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Elebesgue_2Epsfis__cmul,axiom,
% 0.26/0.59 ! [A_27a: d,F0_2E0: u] :
% 0.26/0.59 ( ! [V3z: mono_2Etyop_2Erealax_2Ereal,V1f_2E0: u,V4x_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) ) @ F0_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V3z ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) @ ( s @ A_27a @ V4x_2E0 ) ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__mul @ ( mono_2Ec_2Eextreal_2ENormal @ V3z ) @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) )
% 0.26/0.59 => ! [V0m_2E0: u,V1f_2E0: u,V2a: mono_2Etyop_2Eextreal_2Eextreal,V3z: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emeasure_2Emeasure__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) )
% 0.26/0.59 & ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal @ V2a @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Elebesgue_2Epsfis_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) )
% 0.26/0.59 & ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ V3z ) )
% 0.26/0.59 => ( mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal @ ( mono_2Ec_2Eextreal_2Eextreal__mul @ ( mono_2Ec_2Eextreal_2ENormal @ V3z ) @ V2a ) @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Eextreal_2Eextreal @ tyop_2Emin_2Ebool ) @ ( c_2Elebesgue_2Epsfis_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) ) @ F0_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V3z ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Elebesgue_2Epos__fn__integral__zero,axiom,
% 0.26/0.59 ! [A_27a: d,F0_2E0: u] :
% 0.26/0.59 ( ! [V1x_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ F0_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) )
% 0.26/0.59 => ! [V0m_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emeasure_2Emeasure__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) )
% 0.26/0.59 => ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Elebesgue_2Epos__fn__integral_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ F0_2E0 ) ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Epair_2ECLOSED__PAIR__EQ,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u,V2a_2E0: u,V3b_2E0: u] :
% 0.26/0.59 ( ( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V0x_2E0 ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ A_27a @ A_27b ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V2a_2E0 ) @ ( s @ A_27b @ V3b_2E0 ) ) ) )
% 0.26/0.59 <=> ( ( ( s @ A_27a @ V0x_2E0 )
% 0.26/0.59 = ( s @ A_27a @ V2a_2E0 ) )
% 0.26/0.59 & ( ( s @ A_27b @ V1y_2E0 )
% 0.26/0.59 = ( s @ A_27b @ V3b_2E0 ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Epred__set_2ESPECIFICATION,axiom,
% 0.26/0.59 ! [A_27a: d,V0P_2E0: u,V1x_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) ) ) )
% 0.26/0.59 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0P_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Epred__set_2EGSPECIFICATION,axiom,
% 0.26/0.59 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1v_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V1v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epred__set_2EGSPEC_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0f_2E0 ) ) ) ) ) )
% 0.26/0.59 <=> ? [V2x_2E0: u] :
% 0.26/0.59 ( ( s @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Epair_2E_2C_2E2 @ ( s @ A_27a @ V1v_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) ) )
% 0.26/0.59 = ( s @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Epair_2Eprod @ A_27a @ tyop_2Emin_2Ebool ) ) @ V0f_2E0 ) @ ( s @ A_27b @ V2x_2E0 ) ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ereal_2EREAL__LT__LE,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Erealax_2Ereal,V1y: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( mono_2Ec_2Erealax_2Ereal__lt @ V0x @ V1y )
% 0.26/0.59 <=> ( ( mono_2Ec_2Ereal_2Ereal__lte @ V0x @ V1y )
% 0.26/0.59 & ( (~) @ ( V0x = V1y ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Ereal_2EREAL__LE__INV,axiom,
% 0.26/0.59 ! [V0x: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ V0x )
% 0.26/0.59 => ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ ( mono_2Ec_2Erealax_2Einv @ V0x ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.26/0.59 ! [V0t: $o] :
% 0.26/0.59 ( ( (~) @ ( (~) @ V0t ) )
% 0.26/0.59 <=> V0t ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.26/0.59 ! [V0A: $o] :
% 0.26/0.59 ( V0A
% 0.26/0.59 => ( ( (~) @ V0A )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.26/0.59 ! [V0B: $o,V1A: $o] :
% 0.26/0.59 ( ( ( (~)
% 0.26/0.59 @ ( V1A
% 0.26/0.59 | V0B ) )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> ( ( V1A
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 => ( ( (~) @ V0B )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.26/0.59 ! [V0B: $o,V1A: $o] :
% 0.26/0.59 ( ( ( (~)
% 0.26/0.59 @ ( ( (~) @ V1A )
% 0.26/0.59 | V0B ) )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 <=> ( V1A
% 0.26/0.59 => ( ( (~) @ V0B )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.26/0.59 ! [V0A: $o] :
% 0.26/0.59 ( ( ( (~) @ V0A )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 => ( ( V0A
% 0.26/0.59 => mono_2Ec_2Ebool_2EF )
% 0.26/0.59 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Edc__eq,axiom,
% 0.26/0.59 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.59 ( ( V2p
% 0.26/0.59 <=> ( V1q = V0r ) )
% 0.26/0.59 <=> ( ( V2p
% 0.26/0.59 | V1q
% 0.26/0.59 | V0r )
% 0.26/0.59 & ( V2p
% 0.26/0.59 | ( (~) @ V0r )
% 0.26/0.59 | ( (~) @ V1q ) )
% 0.26/0.59 & ( V1q
% 0.26/0.59 | ( (~) @ V0r )
% 0.26/0.59 | ( (~) @ V2p ) )
% 0.26/0.59 & ( V0r
% 0.26/0.59 | ( (~) @ V1q )
% 0.26/0.59 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Edc__conj,axiom,
% 0.26/0.59 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.59 ( ( V2p
% 0.26/0.59 <=> ( V1q
% 0.26/0.59 & V0r ) )
% 0.26/0.59 <=> ( ( V2p
% 0.26/0.59 | ( (~) @ V1q )
% 0.26/0.59 | ( (~) @ V0r ) )
% 0.26/0.59 & ( V1q
% 0.26/0.59 | ( (~) @ V2p ) )
% 0.26/0.59 & ( V0r
% 0.26/0.59 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Edc__disj,axiom,
% 0.26/0.59 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.59 ( ( V2p
% 0.26/0.59 <=> ( V1q
% 0.26/0.59 | V0r ) )
% 0.26/0.59 <=> ( ( V2p
% 0.26/0.59 | ( (~) @ V1q ) )
% 0.26/0.59 & ( V2p
% 0.26/0.59 | ( (~) @ V0r ) )
% 0.26/0.59 & ( V1q
% 0.26/0.59 | V0r
% 0.26/0.59 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Edc__imp,axiom,
% 0.26/0.59 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.26/0.59 ( ( V2p
% 0.26/0.59 <=> ( V1q
% 0.26/0.59 => V0r ) )
% 0.26/0.59 <=> ( ( V2p
% 0.26/0.59 | V1q )
% 0.26/0.59 & ( V2p
% 0.26/0.59 | ( (~) @ V0r ) )
% 0.26/0.59 & ( ( (~) @ V1q )
% 0.26/0.59 | V0r
% 0.26/0.59 | ( (~) @ V2p ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Edc__neg,axiom,
% 0.26/0.59 ! [V0q: $o,V1p: $o] :
% 0.26/0.59 ( ( V1p
% 0.26/0.59 <=> ( (~) @ V0q ) )
% 0.26/0.59 <=> ( ( V1p
% 0.26/0.59 | V0q )
% 0.26/0.59 & ( ( (~) @ V0q )
% 0.26/0.59 | ( (~) @ V1p ) ) ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Epth__ni1,axiom,
% 0.26/0.59 ! [V0q: $o,V1p: $o] :
% 0.26/0.59 ( ( (~)
% 0.26/0.59 @ ( V1p
% 0.26/0.59 => V0q ) )
% 0.26/0.59 => V1p ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Epth__ni2,axiom,
% 0.26/0.59 ! [V0q: $o,V1p: $o] :
% 0.26/0.59 ( ( (~)
% 0.26/0.59 @ ( V1p
% 0.26/0.59 => V0q ) )
% 0.26/0.59 => ( (~) @ V0q ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Epth__no1,axiom,
% 0.26/0.59 ! [V0q: $o,V1p: $o] :
% 0.26/0.59 ( ( (~)
% 0.26/0.59 @ ( V1p
% 0.26/0.59 | V0q ) )
% 0.26/0.59 => ( (~) @ V1p ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Epth__no2,axiom,
% 0.26/0.59 ! [V0q: $o,V1p: $o] :
% 0.26/0.59 ( ( (~)
% 0.26/0.59 @ ( V1p
% 0.26/0.59 | V0q ) )
% 0.26/0.59 => ( (~) @ V0q ) ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Esat_2Epth__nn,axiom,
% 0.26/0.59 ! [V0p: $o] :
% 0.26/0.59 ( ( (~) @ ( (~) @ V0p ) )
% 0.26/0.59 => V0p ) ).
% 0.26/0.59
% 0.26/0.59 thf(thm_2Elebesgue_2Epos__fn__integral__cmul,conjecture,
% 0.26/0.59 ! [A_27a: d,F0_2E0: u] :
% 0.26/0.59 ( ! [V2c: mono_2Etyop_2Erealax_2Ereal,V1f_2E0: u,V4x_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) ) @ F0_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V2c ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) @ ( s @ A_27a @ V4x_2E0 ) ) ) )
% 0.26/0.59 = ( mono_2Ec_2Eextreal_2Eextreal__mul @ ( mono_2Ec_2Eextreal_2ENormal @ V2c ) @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) @ ( s @ A_27a @ V4x_2E0 ) ) ) ) ) )
% 0.26/0.59 => ! [V0m_2E0: u,V1f_2E0: u,V2c: mono_2Etyop_2Erealax_2Ereal] :
% 0.26/0.59 ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emeasure_2Emeasure__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) )
% 0.26/0.59 & ! [V3x_2E0: u] :
% 0.26/0.59 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EIN_2E2 @ ( s @ A_27a @ V3x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( c_2Emeasure_2Em__space_2E1 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) ) ) ) ) )
% 0.26/0.59 => ( mono_2Ec_2Eextreal_2Eextreal__le @ ( mono_2Ec_2Eextreal_2Eextreal__of__num @ mono_2Ec_2Enum_2E0 ) @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) ) )
% 0.26/0.59 & ( mono_2Ec_2Ereal_2Ereal__lte @ ( mono_2Ec_2Ereal_2Ereal__of__num @ mono_2Ec_2Enum_2E0 ) @ V2c ) )
% 0.26/0.59 => ( ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Elebesgue_2Epos__fn__integral_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Erealax_2Ereal @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) ) ) @ F0_2E0 ) @ ( s @ tyop_2Erealax_2Ereal @ ( i_mono_2Etyop_2Erealax_2Ereal @ V2c ) ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) ) )
% 0.26/0.66 = ( mono_2Ec_2Eextreal_2Eextreal__mul @ ( mono_2Ec_2Eextreal_2ENormal @ V2c ) @ ( j_mono_2Etyop_2Eextreal_2Eextreal @ ( s @ tyop_2Eextreal_2Eextreal @ ( c_2Elebesgue_2Epos__fn__integral_2E2 @ ( s @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( tyop_2Epair_2Eprod @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Erealax_2Ereal ) ) ) @ V0m_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Eextreal_2Eextreal ) @ V1f_2E0 ) ) ) ) ) ) ) ) ).
% 0.26/0.66
% 0.26/0.66 %------------------------------------------------------------------------------
% 0.26/0.66 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.C4YyVRTEZv/cvc5---1.0.5_12317.p...
% 0.26/0.66 (declare-sort $$unsorted 0)
% 0.26/0.66 (declare-sort tptp.u 0)
% 0.26/0.66 (declare-sort tptp.d 0)
% 0.26/0.66 (declare-sort tptp.du 0)
% 0.26/0.66 (declare-sort tptp.mono_2Etyop_2Eextreal_2Eextreal 0)
% 0.26/0.66 (declare-sort tptp.mono_2Etyop_2Enum_2Enum 0)
% 0.26/0.66 (declare-sort tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 0)
% 0.26/0.66 (declare-sort tptp.mono_2Etyop_2Erealax_2Ereal 0)
% 0.26/0.66 (declare-fun tptp.tyop_2Eextreal_2Eextreal () tptp.d)
% 0.26/0.66 (declare-fun tptp.tyop_2Emin_2Ebool () tptp.d)
% 0.26/0.66 (declare-fun tptp.tyop_2Emin_2Efun (tptp.d tptp.d) tptp.d)
% 0.26/0.66 (declare-fun tptp.tyop_2Enum_2Enum () tptp.d)
% 0.26/0.66 (declare-fun tptp.tyop_2Epair_2Eprod (tptp.d tptp.d) tptp.d)
% 0.26/0.66 (declare-fun tptp.tyop_2Erealax_2Ereal () tptp.d)
% 0.26/0.66 (declare-fun tptp.s (tptp.d tptp.u) tptp.du)
% 0.26/0.66 (declare-fun tptp.app_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.combin_i_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.combin_k_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.combin_s_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_21_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_21_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Epair_2E_2C_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Epair_2E_2C_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Enum_2E0_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emin_2E_3D_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emin_2E_3D_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_3F_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_3F_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2EBOUNDED_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2EBOUNDED_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2EC_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2EC_2E3 (tptp.du tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2EF_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Epred__set_2EGSPEC_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Epred__set_2EGSPEC_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2EI_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2EI_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2EIN_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2EIN_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2ENegInf_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2ENormal_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2ENormal_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2EPosInf_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2ES_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2ES_2E3 (tptp.du tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2ET_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__div_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__div_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__inv_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__inv_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__le_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__le_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__mul_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__mul_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__of__num_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__of__num_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__sup_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Eextreal_2Eextreal__sup_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Erealax_2Einv_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Erealax_2Einv_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emeasure_2Em__space_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emeasure_2Em__space_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emeasure_2Emeasure__space_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Emeasure_2Emeasure__space_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2Eo_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2Eo_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ecombin_2Eo_2E3 (tptp.du tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Elebesgue_2Epos__fn__integral_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Elebesgue_2Epos__fn__integral_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Elebesgue_2Epsfis_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Elebesgue_2Epsfis_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Erealax_2Ereal__lt_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Erealax_2Ereal__lt_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ereal_2Ereal__lte_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ereal_2Ereal__lte_2E2 (tptp.du tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ereal_2Ereal__of__num_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ereal_2Ereal__of__num_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_7E_2E0 () tptp.u)
% 0.26/0.66 (declare-fun tptp.c_2Ebool_2E_7E_2E1 (tptp.du) tptp.u)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool ((-> Bool Bool) Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((-> Bool Bool Bool) Bool Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ((-> Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) Bool) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool) (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Eextreal_2Eextreal ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal) (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Eextreal_2Eextreal ((-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Erealax_2Ereal ((-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Ebool ((-> tptp.mono_2Etyop_2Erealax_2Ereal Bool) tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Eextreal_2Eextreal ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal Bool) tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2E_2F_5C (Bool Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Enum_2E0 () tptp.mono_2Etyop_2Enum_2Enum)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Emin_2E_3D_3D_3E (Bool Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2EBOUNDED (Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2EF () Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2ENegInf () tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2ENormal (tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2EPosInf () tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2ET () Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2E_5C_2F (Bool Bool) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__div (tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__inv (tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__le (tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__mul (tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__of__num (tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Eextreal_2Eextreal__sup ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Erealax_2Einv (tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Erealax_2Ereal__lt (tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ereal_2Ereal__lte (tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ereal_2Ereal__of__num (tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.mono_2Ec_2Ebool_2E_7E (Bool) Bool)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Ebool (Bool) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Eextreal_2Eextreal (tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((-> Bool Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ((-> Bool Bool Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ((-> Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ((-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 ((-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 ((-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 ((-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Erealax_2Ereal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 ((-> tptp.mono_2Etyop_2Erealax_2Ereal Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Eextreal_2Eextreal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal Bool)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ((-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Enum_2Enum (tptp.mono_2Etyop_2Enum_2Enum) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.u)
% 0.26/0.66 (declare-fun tptp.i_mono_2Etyop_2Erealax_2Ereal (tptp.mono_2Etyop_2Erealax_2Ereal) tptp.u)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.du) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Eextreal_2Eextreal (tptp.du) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.du Bool) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.du Bool Bool) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (tptp.du Bool) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (tptp.du tptp.mono_2Etyop_2Eextreal_2Eextreal) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (tptp.du (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 (tptp.du (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (tptp.du (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 (tptp.du tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 (tptp.du tptp.mono_2Etyop_2Enum_2Enum) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (tptp.du tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 (tptp.du tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Eextreal_2Eextreal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (tptp.du tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal) Bool)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (tptp.du tptp.mono_2Etyop_2Erealax_2Ereal) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Enum_2Enum (tptp.du) tptp.mono_2Etyop_2Enum_2Enum)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (tptp.du) tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)
% 0.26/0.66 (declare-fun tptp.j_mono_2Etyop_2Erealax_2Ereal (tptp.du) tptp.mono_2Etyop_2Erealax_2Ereal)
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)))) (=> (forall ((V2x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V2x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)))) (let ((_let_3 (@ tptp.s A_27b))) (= (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V0f_2E0)) _let_1)) (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1g_2E0)) _let_1))))))) (= (@ _let_1 V0f_2E0) (@ _let_1 V1g_2E0))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0x_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V0x_2E0))) (= (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27a)) tptp.combin_i_2E0)) _let_2)) _let_2)))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0x_2E0 tptp.u) (V1y_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V0x_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a))) (= (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_3) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) _let_3)) tptp.combin_k_2E0)) _let_2))) (@ (@ tptp.s A_27b) V1y_2E0))) _let_2))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u) (V2x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V2x_2E0))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_3 (@ _let_2 A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) V1g_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27c))) (let ((_let_6 (@ _let_2 _let_5))) (let ((_let_7 (@ (@ tptp.s _let_6) V0f_2E0))) (let ((_let_8 (@ tptp.s A_27c))) (let ((_let_9 (@ _let_2 A_27c))) (let ((_let_10 (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_9))) (= (@ _let_8 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_9) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_10) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_6) _let_10)) tptp.combin_s_2E0)) _let_7))) _let_4))) _let_1)) (@ _let_8 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 _let_7) _let_1))) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 _let_4) _let_1)))))))))))))))))
% 0.26/0.66 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_2F_5C V0) V1) (and V0 V1))))
% 0.26/0.66 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))))
% 0.26/0.66 (assert (forall ((V0 Bool)) (= (@ tptp.mono_2Ec_2Ebool_2E_7E V0) (not V0))))
% 0.26/0.66 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0_2E0 tptp.u) (V1_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V1_2E0))) (let ((_let_3 (@ _let_1 V0_2E0))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2Emin_2E_3D_2E2 _let_3) _let_2))) (= _let_3 _let_2)))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0f_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Ebool_2E_21_2E1 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0f_2E0)))) (forall ((V1x_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0f_2E0)) (@ (@ tptp.s A_27a) V1x_2E0))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0f_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Ebool_2E_3F_2E1 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0f_2E0)))) (exists ((V1x_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0f_2E0)) (@ (@ tptp.s A_27a) V1x_2E0))))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ tptp.j_mono_2Etyop_2Emin_2Ebool _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Eextreal_2Eextreal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Eextreal_2Eextreal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ _let_1 tptp.tyop_2Emin_2Ebool))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Eextreal_2Eextreal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Erealax_2Ereal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Eextreal_2Eextreal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))))) (let ((_let_3 (@ _let_2 V0_2E0))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 _let_3))) _let_3))))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Erealax_2Ereal)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s tptp.tyop_2Enum_2Enum))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Enum_2Enum (@ tptp.j_mono_2Etyop_2Enum_2Enum _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (@ _let_1 V0_2E0))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Erealax_2Ereal (@ tptp.j_mono_2Etyop_2Erealax_2Ereal _let_2))) _let_2)))))
% 0.26/0.66 (assert (forall ((V0 Bool)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool Bool))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 (@ (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ _let_1 (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ _let_1 tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Erealax_2Ereal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Erealax_2Ereal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal Bool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal Bool))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s (@ _let_1 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 V0))) V0))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Erealax_2Ereal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Enum_2Enum)) (= (@ tptp.j_mono_2Etyop_2Enum_2Enum (@ (@ tptp.s tptp.tyop_2Enum_2Enum) (@ tptp.i_mono_2Etyop_2Enum_2Enum V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (= (@ tptp.j_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V0))) V0)))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Erealax_2Ereal)) (= (@ tptp.j_mono_2Etyop_2Erealax_2Ereal (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V0))) V0)))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ tptp.c_2Ebool_2E_21_2E1 _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool)) tptp.c_2Ebool_2E_21_2E0)) _let_2)))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27b) X1_2E0))) (let ((_let_2 (@ (@ tptp.s A_27a) X0_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Epair_2Eprod A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.tyop_2Emin_2Efun A_27b) _let_3))) (let ((_let_5 (@ tptp.s _let_3))) (= (@ _let_5 (@ (@ tptp.c_2Epair_2E_2C_2E2 _let_2) _let_1)) (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_4) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) _let_4)) tptp.c_2Epair_2E_2C_2E0)) _let_2))) _let_1))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1 Bool)) (let ((_let_1 (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool X1)))) (let ((_let_2 (@ (@ tptp.s A_27a) X0_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Epair_2Eprod A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) _let_3))) (let ((_let_5 (@ tptp.s _let_3))) (= (@ _let_5 (@ (@ tptp.c_2Epair_2E_2C_2E2 _let_2) _let_1)) (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_4) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) _let_4)) tptp.c_2Epair_2E_2C_2E0)) _let_2))) _let_1))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 X1_2E0))) (let ((_let_3 (@ _let_1 X0_2E0))) (let ((_let_4 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_5 (@ _let_4 tptp.tyop_2Emin_2Ebool))) (= (= _let_3 _let_2) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_4 _let_5)) tptp.c_2Emin_2E_3D_2E0)) _let_3))) _let_2)))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ tptp.c_2Ebool_2E_3F_2E1 _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool)) tptp.c_2Ebool_2E_3F_2E0)) _let_2)))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) X2_2E0))) (let ((_let_2 (@ (@ tptp.s A_27b) X1_2E0))) (let ((_let_3 (@ tptp.tyop_2Emin_2Efun A_27b))) (let ((_let_4 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_5 (@ _let_4 (@ _let_3 A_27c)))) (let ((_let_6 (@ (@ tptp.s _let_5) X0_2E0))) (let ((_let_7 (@ _let_4 A_27c))) (let ((_let_8 (@ _let_3 _let_7))) (let ((_let_9 (@ tptp.s A_27c))) (= (@ _let_9 (@ (@ (@ tptp.c_2Ecombin_2EC_2E3 _let_6) _let_2) _let_1)) (@ _let_9 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_5) _let_8)) tptp.c_2Ecombin_2EC_2E0)) _let_6))) _let_2))) _let_1))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27b) (@ (@ tptp.tyop_2Epair_2Eprod A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ tptp.s _let_3))) (= (@ _let_4 (@ tptp.c_2Epred__set_2EGSPEC_2E1 _let_2)) (@ _let_4 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) _let_3)) tptp.c_2Epred__set_2EGSPEC_2E0)) _let_2)))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 X0_2E0))) (= (@ _let_1 (@ tptp.c_2Ecombin_2EI_2E1 _let_2)) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27a)) tptp.c_2Ecombin_2EI_2E0)) _let_2)))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ (@ tptp.s _let_2) X1_2E0))) (let ((_let_4 (@ (@ tptp.s A_27a) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_2) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2Ebool_2EIN_2E2 _let_4) _let_3))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_5)) tptp.c_2Ebool_2EIN_2E0)) _let_4))) _let_3))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) X2_2E0))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_3 (@ _let_2 A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X1_2E0))) (let ((_let_5 (@ _let_2 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27c)))) (let ((_let_6 (@ (@ tptp.s _let_5) X0_2E0))) (let ((_let_7 (@ _let_2 A_27c))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_7))) (let ((_let_9 (@ tptp.s A_27c))) (= (@ _let_9 (@ (@ (@ tptp.c_2Ecombin_2ES_2E3 _let_6) _let_4) _let_1)) (@ _let_9 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_5) _let_8)) tptp.c_2Ecombin_2ES_2E0)) _let_6))) _let_4))) _let_1))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun _let_1))) (let ((_let_3 (@ (@ tptp.tyop_2Epair_2Eprod _let_1) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_2 tptp.tyop_2Emin_2Ebool)) (@ _let_2 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ tptp.s _let_1))) (= (@ _let_5 (@ tptp.c_2Emeasure_2Em__space_2E1 _let_4)) (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_1)) tptp.c_2Emeasure_2Em__space_2E0)) _let_4))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun _let_1))) (let ((_let_3 (@ (@ tptp.tyop_2Epair_2Eprod _let_1) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_2 tptp.tyop_2Emin_2Ebool)) (@ _let_2 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_5 (@ tptp.c_2Emeasure_2Emeasure__space_2E1 _let_4))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) tptp.tyop_2Emin_2Ebool)) tptp.c_2Emeasure_2Emeasure__space_2E0)) _let_4)))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 A_27a))) (let ((_let_3 (@ (@ tptp.s _let_2) X1_2E0))) (let ((_let_4 (@ _let_1 A_27b))) (let ((_let_5 (@ tptp.s _let_4))) (let ((_let_6 (@ _let_5 X0_2E0))) (let ((_let_7 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_4))) (= (@ _let_5 (@ (@ tptp.c_2Ecombin_2Eo_2E2 _let_6) _let_3)) (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_4) _let_7)) tptp.c_2Ecombin_2Eo_2E0)) _let_6))) _let_3))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_2 (@ tptp.s _let_1))) (let ((_let_3 (@ _let_2 X1_2E0))) (let ((_let_4 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27b))) (let ((_let_5 (@ (@ tptp.s _let_4) X0_2E0))) (let ((_let_6 (@ (@ tptp.tyop_2Emin_2Efun _let_1) _let_1))) (= (@ _let_2 (@ (@ tptp.c_2Ecombin_2Eo_2E2 _let_5) _let_3)) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_6) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_4) _let_6)) tptp.c_2Ecombin_2Eo_2E0)) _let_5))) _let_3)))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) X2_2E0))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_3 (@ _let_2 A_27c))) (let ((_let_4 (@ (@ tptp.s _let_3) X1_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun A_27c) A_27b))) (let ((_let_6 (@ (@ tptp.s _let_5) X0_2E0))) (let ((_let_7 (@ _let_2 A_27b))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_7))) (let ((_let_9 (@ tptp.s A_27b))) (= (@ _let_9 (@ (@ (@ tptp.c_2Ecombin_2Eo_2E3 _let_6) _let_4) _let_1)) (@ _let_9 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_5) _let_8)) tptp.c_2Ecombin_2Eo_2E0)) _let_6))) _let_4))) _let_1))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ (@ tptp.s _let_2) X1_2E0))) (let ((_let_4 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_5 (@ tptp.tyop_2Emin_2Efun _let_4))) (let ((_let_6 (@ (@ tptp.tyop_2Epair_2Eprod _let_4) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_5 tptp.tyop_2Emin_2Ebool)) (@ _let_5 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_7 (@ (@ tptp.s _let_6) X0_2E0))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun _let_2) tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_9 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_9 (@ (@ tptp.c_2Elebesgue_2Epos__fn__integral_2E2 _let_7) _let_3))) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_9 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_6) _let_8)) tptp.c_2Elebesgue_2Epos__fn__integral_2E0)) _let_7))) _let_3)))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u) (X1_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ (@ tptp.s _let_2) X1_2E0))) (let ((_let_4 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_5 (@ tptp.tyop_2Emin_2Efun _let_4))) (let ((_let_6 (@ (@ tptp.tyop_2Epair_2Eprod _let_4) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_5 tptp.tyop_2Emin_2Ebool)) (@ _let_5 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_7 (@ (@ tptp.s _let_6) X0_2E0))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (let ((_let_9 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_8))) (let ((_let_10 (@ tptp.s _let_8))) (= (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ _let_10 (@ (@ tptp.c_2Elebesgue_2Epsfis_2E2 _let_7) _let_3))) (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ _let_10 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_9) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_6) _let_9)) tptp.c_2Elebesgue_2Epsfis_2E0)) _let_7))) _let_3))))))))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 V0))) (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_2)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V1))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 Bool)) (let ((_let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s _let_1))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) _let_1)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V1)))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 V0))) (@ _let_1 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ tptp.s _let_1))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ V0 V1))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) _let_1)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1)))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_2)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29 (@ V0 V1))) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_2)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Eextreal_2Eextreal_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_2)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s _let_1))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) _let_1)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V1)))))))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ V0 V1))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29 V0))) (@ (@ tptp.s _let_1) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V1)))))))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (@ V0 V1))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Eextreal_2Eextreal_29 V0))) (@ (@ tptp.s _let_1) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V1)))))))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ _let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ tptp.s _let_3))) (= (@ _let_4 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_4 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_3)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s _let_2) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V1)))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Eextreal_2Eextreal_29 V0))) (@ (@ tptp.s tptp.tyop_2Enum_2Enum) (@ tptp.i_mono_2Etyop_2Enum_2Enum V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Erealax_2Ereal)) (V1 tptp.mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (@ tptp.s tptp.tyop_2Erealax_2Ereal))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Erealax_2Ereal (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Enum_2Enum) tptp.tyop_2Erealax_2Ereal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Erealax_2Ereal_29 V0))) (@ (@ tptp.s tptp.tyop_2Enum_2Enum) (@ tptp.i_mono_2Etyop_2Enum_2Enum V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal Bool)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 V0))) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Eextreal_2Eextreal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Eextreal_2Eextreal_29 V0))) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal Bool)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29 (@ V0 V1))) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_1 _let_2)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Emin_2Ebool_29_29 V0))) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V1))))))))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.s tptp.tyop_2Erealax_2Ereal))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Erealax_2Ereal (@ V0 V1))) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) tptp.tyop_2Erealax_2Ereal)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 V0))) (@ _let_1 (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V1))))))))
% 0.26/0.66 (assert (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_29 tptp.mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool)) (@ _let_1 tptp.c_2Epair_2E_2C_2E0))))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Eextreal_2Eextreal) (V1 Bool)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool V0) V1))) (@ _let_1 (@ (@ tptp.c_2Epair_2E_2C_2E2 (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V0))) (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V1))))))))
% 0.26/0.66 (assert (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ _let_1 tptp.tyop_2Emin_2Ebool))))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29_2Ctyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal)) (@ _let_2 tptp.c_2Epred__set_2EGSPEC_2E0)))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ _let_1 tptp.tyop_2Emin_2Ebool)))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ tptp.mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal V0))) (@ _let_2 (@ tptp.c_2Epred__set_2EGSPEC_2E1 (@ (@ tptp.s (@ _let_1 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool))) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 V0)))))))))
% 0.26/0.66 (assert (let ((_let_1 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_2 (@ tptp.s (@ _let_1 (@ (@ tptp.tyop_2Emin_2Efun (@ _let_1 tptp.tyop_2Emin_2Ebool)) tptp.tyop_2Emin_2Ebool))))) (= (@ _let_2 (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal)) (@ _let_2 tptp.c_2Ebool_2EIN_2E0)))))
% 0.26/0.66 (assert (forall ((V0 tptp.mono_2Etyop_2Eextreal_2Eextreal) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ _let_1 (@ tptp.i_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal V0) V1))) (@ _let_1 (@ (@ tptp.c_2Ebool_2EIN_2E2 (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V0))) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) (@ tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 V1))))))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29)) (V1 tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) Bool)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool) tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool))) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29) tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1 (-> tptp.mono_2Etyop_2Eextreal_2Eextreal tptp.mono_2Etyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29))) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Enum_2Enum tptp.mono_2Etyop_2Erealax_2Ereal)) (V1 tptp.mono_2Etyop_2Enum_2Enum)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal Bool)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Eextreal_2Eextreal)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal Bool)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((V0 (-> tptp.mono_2Etyop_2Erealax_2Ereal tptp.mono_2Etyop_2Erealax_2Ereal)) (V1 tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0M_2E0 tptp.u) (V1x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0M_2E0)) (@ (@ tptp.s A_27a) V1x_2E0))))) (= _let_1 _let_1))))
% 0.26/0.66 (assert tptp.mono_2Ec_2Ebool_2ET)
% 0.26/0.66 (assert (forall ((V0t1 Bool) (V1t2 Bool)) (=> (=> V0t1 V1t2) (=> (=> V1t2 V0t1) (= V0t1 V1t2)))))
% 0.26/0.66 (assert (forall ((V0t Bool)) (=> tptp.mono_2Ec_2Ebool_2EF V0t)))
% 0.26/0.66 (assert (forall ((V0t Bool)) (or V0t (not V0t))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0t Bool)) (= (forall ((V1x_2E0 tptp.u)) V0t) V0t)))
% 0.26/0.66 (assert (forall ((V0t Bool)) (and (= (and tptp.mono_2Ec_2Ebool_2ET V0t) V0t) (= (and V0t tptp.mono_2Ec_2Ebool_2ET) V0t) (= (and tptp.mono_2Ec_2Ebool_2EF V0t) tptp.mono_2Ec_2Ebool_2EF) (= (and V0t tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF) (= (and V0t V0t) V0t))))
% 0.26/0.66 (assert (forall ((V0t Bool)) (and (= (=> tptp.mono_2Ec_2Ebool_2ET V0t) V0t) (= (=> V0t tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2ET) (= (=> tptp.mono_2Ec_2Ebool_2EF V0t) tptp.mono_2Ec_2Ebool_2ET) (= (=> V0t V0t) tptp.mono_2Ec_2Ebool_2ET) (= (=> V0t tptp.mono_2Ec_2Ebool_2EF) (not V0t)))))
% 0.26/0.66 (assert (and (forall ((V0t Bool)) (= (not (not V0t)) V0t)) (= (not tptp.mono_2Ec_2Ebool_2ET) tptp.mono_2Ec_2Ebool_2EF) (= (not tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2ET)))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V0x_2E0))) (= (= _let_1 _let_1) tptp.mono_2Ec_2Ebool_2ET))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0x_2E0 tptp.u) (V1y_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V0x_2E0))) (let ((_let_3 (@ _let_1 V1y_2E0))) (= (= _let_2 _let_3) (= _let_3 _let_2)))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)))) (= (= (@ _let_1 V0f_2E0) (@ _let_1 V1g_2E0)) (forall ((V2x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V2x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)))) (let ((_let_3 (@ tptp.s A_27b))) (= (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V0f_2E0)) _let_1)) (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1g_2E0)) _let_1)))))))))))
% 0.26/0.66 (assert (forall ((V0t Bool)) (let ((_let_1 (not V0t))) (and (= (= tptp.mono_2Ec_2Ebool_2ET V0t) V0t) (= (= V0t tptp.mono_2Ec_2Ebool_2ET) V0t) (= (= tptp.mono_2Ec_2Ebool_2EF V0t) _let_1) (= (= V0t tptp.mono_2Ec_2Ebool_2EF) _let_1)))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0P Bool) (V1Q_2E0 tptp.u)) (= (and V0P (forall ((V2x_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V1Q_2E0)) (@ (@ tptp.s A_27a) V2x_2E0)))))) (forall ((V3x_2E0 tptp.u)) (and V0P (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V1Q_2E0)) (@ (@ tptp.s A_27a) V3x_2E0)))))))))
% 0.26/0.66 (assert (forall ((V0A Bool) (V1B Bool) (V2C Bool)) (= (or (and V1B V2C) V0A) (and (or V1B V0A) (or V2C V0A)))))
% 0.26/0.66 (assert (forall ((V0t1 Bool) (V1t2 Bool) (V2t3 Bool)) (= (=> V0t1 (=> V1t2 V2t3)) (=> (and V0t1 V1t2) V2t3))))
% 0.26/0.66 (assert (forall ((V0x Bool) (V1x_27 Bool) (V2y Bool) (V3y_27 Bool)) (=> (and (= V0x V1x_27) (=> V1x_27 (= V2y V3y_27))) (= (=> V0x V2y) (=> V1x_27 V3y_27)))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0P_2E0 tptp.u) (V1a_2E0 tptp.u)) (= (exists ((V2x_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V2x_2E0))) (and (= _let_2 (@ _let_1 V1a_2E0)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0P_2E0)) _let_2))))))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0P_2E0)) (@ (@ tptp.s A_27a) V1a_2E0)))))))
% 0.26/0.66 (assert (forall ((V0v Bool)) (= (@ tptp.mono_2Ec_2Ebool_2EBOUNDED V0v) tptp.mono_2Ec_2Ebool_2ET)))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (V0x_2E0 tptp.u) (V1x_27_2E0 tptp.u) (V2x_27_27_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V2x_27_27_2E0))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_3 (@ (@ tptp.s (@ _let_2 A_27b)) V1x_27_2E0))) (let ((_let_4 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27c))) (let ((_let_5 (@ (@ tptp.s (@ _let_2 _let_4)) V0x_2E0))) (let ((_let_6 (@ tptp.s A_27c))) (= (@ _let_6 (@ (@ (@ tptp.c_2Ecombin_2ES_2E3 _let_5) _let_3) _let_1)) (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_4) (@ (@ tptp.app_2E2 _let_5) _let_1))) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 _let_3) _let_1)))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (V0x_2E0 tptp.u) (V1x_27_2E0 tptp.u) (V2x_27_27_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27b) V1x_27_2E0))) (let ((_let_2 (@ (@ tptp.s A_27a) V2x_27_27_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27c))) (let ((_let_4 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) _let_3)) V0x_2E0))) (let ((_let_5 (@ tptp.s A_27c))) (= (@ _let_5 (@ (@ (@ tptp.c_2Ecombin_2EC_2E3 _let_4) _let_1) _let_2)) (@ _let_5 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_3) (@ (@ tptp.app_2E2 _let_4) _let_2))) _let_1))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (V0f_2E0 tptp.u) (V1g_2E0 tptp.u) (V2x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V2x_2E0))) (let ((_let_2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27c)) V1g_2E0))) (let ((_let_3 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27c) A_27b)) V0f_2E0))) (let ((_let_4 (@ tptp.s A_27b))) (= (@ _let_4 (@ (@ (@ tptp.c_2Ecombin_2Eo_2E3 _let_3) _let_2) _let_1)) (@ _let_4 (@ (@ tptp.app_2E2 _let_3) (@ (@ tptp.s A_27c) (@ (@ tptp.app_2E2 _let_2) _let_1)))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0x_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V0x_2E0))) (= (@ _let_1 (@ tptp.c_2Ecombin_2EI_2E1 _let_2)) _let_2)))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ tptp.s (@ _let_1 A_27b)))) (let ((_let_3 (@ _let_2 V0f_2E0))) (and (= (@ _let_2 (@ (@ tptp.c_2Ecombin_2Eo_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27b)) tptp.c_2Ecombin_2EI_2E0)) _let_3)) _let_3) (= (@ _let_2 (@ (@ tptp.c_2Ecombin_2Eo_2E2 _let_3) (@ (@ tptp.s (@ _let_1 A_27a)) tptp.c_2Ecombin_2EI_2E0))) _let_3)))))))
% 0.26/0.66 (assert (forall ((V0n tptp.mono_2Etyop_2Enum_2Enum)) (= (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num V0n) (@ tptp.mono_2Ec_2Eextreal_2ENormal (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num V0n)))))
% 0.26/0.66 (assert (forall ((V0y tptp.mono_2Etyop_2Erealax_2Ereal) (V1x tptp.mono_2Etyop_2Erealax_2Ereal) (V2v5 tptp.mono_2Etyop_2Erealax_2Ereal) (V3v3 tptp.mono_2Etyop_2Erealax_2Ereal) (V4v2 tptp.mono_2Etyop_2Erealax_2Ereal) (V5a tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le tptp.mono_2Ec_2Eextreal_2EPosInf))) (and (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2ENormal V1x)) (@ tptp.mono_2Ec_2Eextreal_2ENormal V0y)) (@ (@ tptp.mono_2Ec_2Ereal_2Ereal__lte V1x) V0y)) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le tptp.mono_2Ec_2Eextreal_2ENegInf) V5a) tptp.mono_2Ec_2Ebool_2ET) (= (@ _let_1 tptp.mono_2Ec_2Eextreal_2EPosInf) tptp.mono_2Ec_2Ebool_2ET) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2ENormal V4v2)) tptp.mono_2Ec_2Eextreal_2EPosInf) tptp.mono_2Ec_2Ebool_2ET) (= (@ _let_1 tptp.mono_2Ec_2Eextreal_2ENegInf) tptp.mono_2Ec_2Ebool_2EF) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2ENormal V3v3)) tptp.mono_2Ec_2Eextreal_2ENegInf) tptp.mono_2Ec_2Ebool_2EF) (= (@ _let_1 (@ tptp.mono_2Ec_2Eextreal_2ENormal V2v5)) tptp.mono_2Ec_2Ebool_2EF)))))
% 0.26/0.66 (assert (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2ENormal (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)))) (and (= (@ tptp.mono_2Ec_2Eextreal_2Eextreal__inv tptp.mono_2Ec_2Eextreal_2ENegInf) _let_1) (= (@ tptp.mono_2Ec_2Eextreal_2Eextreal__inv tptp.mono_2Ec_2Eextreal_2EPosInf) _let_1) (forall ((V0x tptp.mono_2Etyop_2Erealax_2Ereal)) (= (@ tptp.mono_2Ec_2Eextreal_2Eextreal__inv (@ tptp.mono_2Ec_2Eextreal_2ENormal V0x)) (@ tptp.mono_2Ec_2Eextreal_2ENormal (@ tptp.mono_2Ec_2Erealax_2Einv V0x)))))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Eextreal_2Eextreal) (V1y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__div V0x) V1y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V0x) (@ tptp.mono_2Ec_2Eextreal_2Eextreal__inv V1y)))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num tptp.mono_2Ec_2Enum_2E0))) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul _let_1) V0x) _let_1))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Eextreal_2Eextreal) (V1y tptp.mono_2Etyop_2Eextreal_2Eextreal) (V2z tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V2z))) (=> (and (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num tptp.mono_2Ec_2Enum_2E0)) V2z) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V0x) V1y)) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ _let_1 V0x)) (@ _let_1 V1y))))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Eextreal_2Eextreal) (V1y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V0x) V1y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V1y) V0x))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Erealax_2Ereal) (V1y tptp.mono_2Etyop_2Eextreal_2Eextreal) (V2z tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2ENormal V0x))) (=> (@ (@ tptp.mono_2Ec_2Erealax_2Ereal__lt (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)) V0x) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V1y) _let_1)) V2z) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V1y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__div V2z) _let_1)))))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Erealax_2Ereal) (V1y tptp.mono_2Etyop_2Eextreal_2Eextreal) (V2z tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.mono_2Ec_2Eextreal_2ENormal V0x))) (=> (@ (@ tptp.mono_2Ec_2Erealax_2Ereal__lt (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)) V0x) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V1y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul V2z) _let_1)) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__div V1y) _let_1)) V2z))))))
% 0.26/0.66 (assert (forall ((V0p (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1x tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2Eextreal__sup V0p)) V1x) (forall ((V2y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (@ V0p V2y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V2y) V1x))))))
% 0.26/0.66 (assert (forall ((V0p (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1x tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V1x) (@ tptp.mono_2Ec_2Eextreal_2Eextreal__sup V0p)) (forall ((V2y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (forall ((V3z tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (@ V0p V3z) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V3z) V2y))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V1x) V2y))))))
% 0.26/0.66 (assert (forall ((V0p (-> tptp.mono_2Etyop_2Eextreal_2Eextreal Bool)) (V1x tptp.mono_2Etyop_2Eextreal_2Eextreal)) (= (= (@ tptp.mono_2Ec_2Eextreal_2Eextreal__sup V0p) V1x) (and (forall ((V2y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (@ V0p V2y) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V2y) V1x))) (forall ((V3y tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (forall ((V4z tptp.mono_2Etyop_2Eextreal_2Eextreal)) (=> (@ V0p V4z) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V4z) V3y))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le V1x) V3y)))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (F1_2E0 tptp.u) (F0_2E0 tptp.u)) (=> (forall ((V2r tptp.mono_2Etyop_2Eextreal_2Eextreal) (V0m_2E0 tptp.u) (V1f_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ tptp.tyop_2Emin_2Efun _let_3))) (let ((_let_5 (@ (@ tptp.tyop_2Epair_2Eprod _let_3) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_4 tptp.tyop_2Emin_2Ebool)) (@ _let_4 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_6 (@ (@ tptp.tyop_2Emin_2Efun _let_2) tptp.tyop_2Emin_2Ebool))) (let ((_let_7 (@ (@ tptp.tyop_2Emin_2Efun _let_5) _let_6))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_6) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) _let_7)) F1_2E0)) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V2r))))) (@ (@ tptp.s _let_5) V0m_2E0)))) (@ (@ tptp.s _let_2) V1f_2E0)))) (exists ((V3g_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.tyop_2Emin_2Efun _let_2))) (and (@ (@ tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal V2r) (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)) (@ (@ tptp.c_2Elebesgue_2Epsfis_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod _let_2) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_3 tptp.tyop_2Emin_2Ebool)) (@ _let_3 tptp.tyop_2Erealax_2Ereal)))) V0m_2E0)) (@ (@ tptp.s (@ _let_1 tptp.tyop_2Eextreal_2Eextreal)) V3g_2E0))))) (forall ((V4x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V4x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Eextreal_2Eextreal)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V3g_2E0)) _let_1)))) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1f_2E0)) _let_1)))))))))))))))))))))) (=> (forall ((V0m_2E0 tptp.u) (V1f_2E0 tptp.u) (V2r tptp.mono_2Etyop_2Eextreal_2Eextreal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ (@ tptp.s _let_2) V1f_2E0))) (let ((_let_4 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_5 (@ tptp.tyop_2Emin_2Efun _let_4))) (let ((_let_6 (@ (@ tptp.tyop_2Epair_2Eprod _let_4) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_5 tptp.tyop_2Emin_2Ebool)) (@ _let_5 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_7 (@ (@ tptp.s _let_6) V0m_2E0))) (let ((_let_8 (@ tptp.tyop_2Emin_2Efun _let_2))) (let ((_let_9 (@ _let_8 tptp.tyop_2Emin_2Ebool))) (let ((_let_10 (@ tptp.tyop_2Emin_2Efun _let_6))) (let ((_let_11 (@ _let_10 _let_9))) (let ((_let_12 (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_13 (@ _let_12 (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_14 (@ _let_8 _let_13))) (= (@ (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s _let_13) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_14) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_10 _let_14)) F0_2E0)) _let_7))) _let_3))) V2r) (@ (@ tptp.mono_2Ec_2Epair_2E_2C_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Emin_2Ebool V2r) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_9) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_11) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_12 _let_11)) F1_2E0)) (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ tptp.i_mono_2Etyop_2Eextreal_2Eextreal V2r))))) _let_7))) _let_3)))))))))))))))))))) (forall ((V0m_2E0 tptp.u) (V1f_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ (@ tptp.s _let_2) V1f_2E0))) (let ((_let_4 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_5 (@ tptp.tyop_2Emin_2Efun _let_4))) (let ((_let_6 (@ (@ tptp.tyop_2Epair_2Eprod _let_4) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_5 tptp.tyop_2Emin_2Ebool)) (@ _let_5 tptp.tyop_2Erealax_2Ereal))))) (let ((_let_7 (@ (@ tptp.s _let_6) V0m_2E0))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.tyop_2Epair_2Eprod tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (let ((_let_9 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_8))) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.c_2Elebesgue_2Epos__fn__integral_2E2 _let_7) _let_3))) (@ tptp.mono_2Ec_2Eextreal_2Eextreal__sup (@ tptp.mono_2Ec_2Epred__set_2EGSPEC_2Emono_2Etyop_2Eextreal_2Eextreal_20mono_2Etyop_2Eextreal_2Eextreal (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Epair_2Eprod_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29_29 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_9) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_6) _let_9)) F0_2E0)) _let_7))) _let_3))))))))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (F0_2E0 tptp.u)) (=> (forall ((V3z tptp.mono_2Etyop_2Erealax_2Ereal) (V1f_2E0 tptp.u) (V4x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V4x_2E0))) (let ((_let_2 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ tptp.s _let_2))) (let ((_let_4 (@ _let_3 V1f_2E0))) (let ((_let_5 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_6 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_2))) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_5 (@ (@ tptp.app_2E2 (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_6) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) _let_6)) F0_2E0)) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V3z))))) _let_4))) _let_1))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul (@ tptp.mono_2Ec_2Eextreal_2ENormal V3z)) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_5 (@ (@ tptp.app_2E2 _let_4) _let_1)))))))))))) (forall ((V0m_2E0 tptp.u) (V1f_2E0 tptp.u) (V2a tptp.mono_2Etyop_2Eextreal_2Eextreal) (V3z tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ tptp.s _let_2))) (let ((_let_4 (@ _let_3 V1f_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_2))) (let ((_let_6 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_7 (@ tptp.tyop_2Emin_2Efun _let_6))) (let ((_let_8 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod _let_6) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_7 tptp.tyop_2Emin_2Ebool)) (@ _let_7 tptp.tyop_2Erealax_2Ereal)))) V0m_2E0))) (let ((_let_9 (@ tptp.c_2Elebesgue_2Epsfis_2E2 _let_8))) (let ((_let_10 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Eextreal_2Eextreal) tptp.tyop_2Emin_2Ebool)))) (=> (and (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Emeasure_2Emeasure__space_2E1 _let_8))) (@ (@ tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal V2a) (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ _let_10 (@ _let_9 _let_4)))) (@ (@ tptp.mono_2Ec_2Ereal_2Ereal__lte (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)) V3z)) (@ (@ tptp.mono_2Ec_2Ebool_2EIN_2Emono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul (@ tptp.mono_2Ec_2Eextreal_2ENormal V3z)) V2a)) (@ tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Eextreal_2Eextreal_2Ctyop_2Emin_2Ebool_29 (@ _let_10 (@ _let_9 (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) _let_5)) F0_2E0)) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V3z))))) _let_4)))))))))))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (F0_2E0 tptp.u)) (=> (forall ((V1x_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Eextreal_2Eextreal)) F0_2E0)) (@ (@ tptp.s A_27a) V1x_2E0)))) (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num tptp.mono_2Ec_2Enum_2E0))) (forall ((V0m_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_3 (@ tptp.tyop_2Emin_2Efun _let_2))) (let ((_let_4 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod _let_2) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_3 tptp.tyop_2Emin_2Ebool)) (@ _let_3 tptp.tyop_2Erealax_2Ereal)))) V0m_2E0))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Emeasure_2Emeasure__space_2E1 _let_4))) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.c_2Elebesgue_2Epos__fn__integral_2E2 _let_4) (@ (@ tptp.s (@ _let_1 tptp.tyop_2Eextreal_2Eextreal)) F0_2E0)))) (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num tptp.mono_2Ec_2Enum_2E0)))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0x_2E0 tptp.u) (V1y_2E0 tptp.u) (V2a_2E0 tptp.u) (V3b_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27b))) (let ((_let_2 (@ _let_1 V3b_2E0))) (let ((_let_3 (@ _let_1 V1y_2E0))) (let ((_let_4 (@ tptp.s A_27a))) (let ((_let_5 (@ _let_4 V2a_2E0))) (let ((_let_6 (@ _let_4 V0x_2E0))) (let ((_let_7 (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod A_27a) A_27b)))) (= (= (@ _let_7 (@ (@ tptp.c_2Epair_2E_2C_2E2 _let_6) _let_3)) (@ _let_7 (@ (@ tptp.c_2Epair_2E_2C_2E2 _let_5) _let_2))) (and (= _let_6 _let_5) (= _let_3 _let_2))))))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (V0P_2E0 tptp.u) (V1x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V1x_2E0))) (let ((_let_2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) V0P_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.c_2Ebool_2EIN_2E2 _let_1) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 _let_2) _let_1)))))))))
% 0.26/0.66 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0f_2E0 tptp.u) (V1v_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2Ebool_2EIN_2E2 (@ (@ tptp.s A_27a) V1v_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)) (@ tptp.c_2Epred__set_2EGSPEC_2E1 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) (@ (@ tptp.tyop_2Epair_2Eprod A_27a) tptp.tyop_2Emin_2Ebool))) V0f_2E0)))))) (exists ((V2x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.tyop_2Epair_2Eprod A_27a) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ tptp.s _let_1))) (= (@ _let_2 (@ (@ tptp.c_2Epair_2E_2C_2E2 (@ (@ tptp.s A_27a) V1v_2E0)) (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET)))) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) _let_1)) V0f_2E0)) (@ (@ tptp.s A_27b) V2x_2E0))))))))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Erealax_2Ereal) (V1y tptp.mono_2Etyop_2Erealax_2Ereal)) (= (@ (@ tptp.mono_2Ec_2Erealax_2Ereal__lt V0x) V1y) (and (@ (@ tptp.mono_2Ec_2Ereal_2Ereal__lte V0x) V1y) (not (= V0x V1y))))))
% 0.26/0.66 (assert (forall ((V0x tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.mono_2Ec_2Ereal_2Ereal__lte (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)))) (=> (@ _let_1 V0x) (@ _let_1 (@ tptp.mono_2Ec_2Erealax_2Einv V0x))))))
% 0.26/0.66 (assert (forall ((V0t Bool)) (= (not (not V0t)) V0t)))
% 0.26/0.66 (assert (forall ((V0A Bool)) (=> V0A (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF))))
% 0.26/0.66 (assert (forall ((V0B Bool) (V1A Bool)) (= (=> (not (or V1A V0B)) tptp.mono_2Ec_2Ebool_2EF) (=> (=> V1A tptp.mono_2Ec_2Ebool_2EF) (=> (not V0B) tptp.mono_2Ec_2Ebool_2EF)))))
% 0.26/0.66 (assert (forall ((V0B Bool) (V1A Bool)) (= (=> (not (or (not V1A) V0B)) tptp.mono_2Ec_2Ebool_2EF) (=> V1A (=> (not V0B) tptp.mono_2Ec_2Ebool_2EF)))))
% 0.26/0.66 (assert (forall ((V0A Bool)) (=> (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF) (=> (=> V0A tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF))))
% 0.26/0.66 (assert (forall ((V0r Bool) (V1q Bool) (V2p Bool)) (let ((_let_1 (not V2p))) (let ((_let_2 (not V1q))) (let ((_let_3 (not V0r))) (= (= V2p (= V1q V0r)) (and (or V2p V1q V0r) (or V2p _let_3 _let_2) (or V1q _let_3 _let_1) (or V0r _let_2 _let_1))))))))
% 0.26/0.66 (assert (forall ((V0r Bool) (V1q Bool) (V2p Bool)) (let ((_let_1 (not V2p))) (= (= V2p (and V1q V0r)) (and (or V2p (not V1q) (not V0r)) (or V1q _let_1) (or V0r _let_1))))))
% 0.26/0.66 (assert (forall ((V0r Bool) (V1q Bool) (V2p Bool)) (= (= V2p (or V1q V0r)) (and (or V2p (not V1q)) (or V2p (not V0r)) (or V1q V0r (not V2p))))))
% 0.26/0.66 (assert (forall ((V0r Bool) (V1q Bool) (V2p Bool)) (= (= V2p (=> V1q V0r)) (and (or V2p V1q) (or V2p (not V0r)) (or (not V1q) V0r (not V2p))))))
% 0.26/0.66 (assert (forall ((V0q Bool) (V1p Bool)) (let ((_let_1 (not V0q))) (= (= V1p _let_1) (and (or V1p V0q) (or _let_1 (not V1p)))))))
% 0.26/0.66 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) V1p)))
% 0.26/0.66 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) (not V0q))))
% 0.26/0.66 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (or V1p V0q)) (not V1p))))
% 0.26/0.66 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (or V1p V0q)) (not V0q))))
% 0.26/0.66 (assert (forall ((V0p Bool)) (=> (not (not V0p)) V0p)))
% 0.26/0.66 (assert (not (forall ((A_27a tptp.d) (F0_2E0 tptp.u)) (=> (forall ((V2c tptp.mono_2Etyop_2Erealax_2Ereal) (V1f_2E0 tptp.u) (V4x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V4x_2E0))) (let ((_let_2 (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ tptp.s _let_2))) (let ((_let_4 (@ _let_3 V1f_2E0))) (let ((_let_5 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_6 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_2))) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_5 (@ (@ tptp.app_2E2 (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_6) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) _let_6)) F0_2E0)) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V2c))))) _let_4))) _let_1))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul (@ tptp.mono_2Ec_2Eextreal_2ENormal V2c)) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_5 (@ (@ tptp.app_2E2 _let_4) _let_1)))))))))))) (foral/export/starexec/sandbox2/solver/bin/do_THM_THF: line 35: 12467 Alarm clock ( read result; case "$result" in
% 299.79/300.15 unsat)
% 299.79/300.15 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.79/300.15 ;;
% 299.79/300.15 sat)
% 299.79/300.15 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.79/300.15 ;;
% 299.79/300.15 esac; exit 1 )
% 299.79/300.16 l ((V0m_2E0 tptp.u) (V1f_2E0 tptp.u) (V2c tptp.mono_2Etyop_2Erealax_2Ereal)) (let ((_let_1 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_2 (@ _let_1 tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_3 (@ tptp.s _let_2))) (let ((_let_4 (@ _let_3 V1f_2E0))) (let ((_let_5 (@ _let_1 tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.tyop_2Emin_2Efun _let_5))) (let ((_let_7 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod _let_5) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_6 tptp.tyop_2Emin_2Ebool)) (@ _let_6 tptp.tyop_2Erealax_2Ereal)))) V0m_2E0))) (let ((_let_8 (@ tptp.c_2Elebesgue_2Epos__fn__integral_2E2 _let_7))) (let ((_let_9 (@ tptp.s tptp.tyop_2Eextreal_2Eextreal))) (let ((_let_10 (@ (@ tptp.tyop_2Emin_2Efun _let_2) _let_2))) (=> (and (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Emeasure_2Emeasure__space_2E1 _let_7))) (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V3x_2E0))) (let ((_let_2 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_3 (@ _let_2 tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ tptp.tyop_2Emin_2Efun _let_3))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2Ebool_2EIN_2E2 _let_1) (@ (@ tptp.s _let_3) (@ tptp.c_2Emeasure_2Em__space_2E1 (@ (@ tptp.s (@ (@ tptp.tyop_2Epair_2Eprod _let_3) (@ (@ tptp.tyop_2Epair_2Eprod (@ _let_4 tptp.tyop_2Emin_2Ebool)) (@ _let_4 tptp.tyop_2Erealax_2Ereal)))) V0m_2E0)))))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__le (@ tptp.mono_2Ec_2Eextreal_2Eextreal__of__num tptp.mono_2Ec_2Enum_2E0)) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ (@ tptp.s tptp.tyop_2Eextreal_2Eextreal) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ _let_2 tptp.tyop_2Eextreal_2Eextreal)) V1f_2E0)) _let_1)))))))))) (@ (@ tptp.mono_2Ec_2Ereal_2Ereal__lte (@ tptp.mono_2Ec_2Ereal_2Ereal__of__num tptp.mono_2Ec_2Enum_2E0)) V2c)) (= (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_9 (@ _let_8 (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_10) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Erealax_2Ereal) _let_10)) F0_2E0)) (@ (@ tptp.s tptp.tyop_2Erealax_2Ereal) (@ tptp.i_mono_2Etyop_2Erealax_2Ereal V2c))))) _let_4))))) (@ (@ tptp.mono_2Ec_2Eextreal_2Eextreal__mul (@ tptp.mono_2Ec_2Eextreal_2ENormal V2c)) (@ tptp.j_mono_2Etyop_2Eextreal_2Eextreal (@ _let_9 (@ _let_8 _let_4)))))))))))))))))))))
% 299.79/300.16 (set-info :filename cvc5---1.0.5_12317)
% 299.79/300.16 (check-sat-assuming ( true ))
% 299.79/300.16 ------- get file name : TPTP file name is ITP025^1
% 299.79/300.16 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12317.smt2...
% 299.79/300.16 --- Run --ho-elim --full-saturate-quant at 10...
% 299.79/300.16 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 299.79/300.16 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 299.79/300.16 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 299.79/300.16 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 299.79/300.16 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 299.79/300.16 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 299.79/300.16 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 299.79/300.16 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 299.79/300.16 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 299.79/300.16 % cvc5---1.0.5 exiting
% 299.79/300.16 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------