TSTP Solution File: ITP002^1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP002^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n005.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 03:13:51 EDT 2023
% Result : Timeout 299.78s 300.14s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : ITP002^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.08/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n005.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Aug 27 16:01:38 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.51 %----Proving TH0
% 0.23/0.52 %------------------------------------------------------------------------------
% 0.23/0.52 % File : ITP002^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.23/0.52 % Domain : Interactive Theorem Proving
% 0.23/0.52 % Problem : HOL4 syntactic export of thm_2Eoption_2EOPTION__MAP2__THM.p, bushy mode
% 0.23/0.52 % Version : [BG+19] axioms.
% 0.23/0.52 % English :
% 0.23/0.52
% 0.23/0.52 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.23/0.52 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.23/0.52 % Source : [BG+19]
% 0.23/0.52 % Names : thm_2Eoption_2EOPTION__MAP2__THM.p [Gau19]
% 0.23/0.52 % : HL400501^1.p [TPAP]
% 0.23/0.52
% 0.23/0.52 % Status : Theorem
% 0.23/0.52 % Rating : 1.00 v7.5.0
% 0.23/0.52 % Syntax : Number of formulae : 97 ( 32 unt; 52 typ; 0 def)
% 0.23/0.52 % Number of atoms : 88 ( 44 equ; 1 cnn)
% 0.23/0.52 % Maximal formula atoms : 6 ( 1 avg)
% 0.23/0.52 % Number of connectives : 1063 ( 1 ~; 1 |; 16 &;1026 @)
% 0.23/0.52 % ( 16 <=>; 3 =>; 0 <=; 0 <~>)
% 0.23/0.52 % Maximal formula depth : 22 ( 5 avg)
% 0.23/0.52 % Number of types : 4 ( 3 usr)
% 0.23/0.52 % Number of type conns : 63 ( 63 >; 0 *; 0 +; 0 <<)
% 0.23/0.52 % Number of symbols : 51 ( 49 usr; 22 con; 0-3 aty)
% 0.23/0.52 % Number of variables : 114 ( 0 ^; 113 !; 1 ?; 114 :)
% 0.23/0.52 % SPC : TH0_THM_EQU_NAR
% 0.23/0.52
% 0.23/0.52 % Comments :
% 0.23/0.52 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.23/0.52 %------------------------------------------------------------------------------
% 0.23/0.52 thf(u,type,
% 0.23/0.52 u: $tType ).
% 0.23/0.52
% 0.23/0.52 thf(d,type,
% 0.23/0.52 d: $tType ).
% 0.23/0.52
% 0.23/0.52 thf(du,type,
% 0.23/0.52 du: $tType ).
% 0.23/0.52
% 0.23/0.52 thf(tyop_2Emin_2Ebool,type,
% 0.23/0.52 tyop_2Emin_2Ebool: d ).
% 0.23/0.52
% 0.23/0.52 thf(tyop_2Emin_2Efun,type,
% 0.23/0.52 tyop_2Emin_2Efun: d > d > d ).
% 0.23/0.52
% 0.23/0.52 thf(tyop_2Eoption_2Eoption,type,
% 0.23/0.52 tyop_2Eoption_2Eoption: d > d ).
% 0.23/0.52
% 0.23/0.52 thf(s,type,
% 0.23/0.52 s: d > u > du ).
% 0.23/0.52
% 0.23/0.52 thf(app_2E2,type,
% 0.23/0.52 app_2E2: du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(combin_i_2E0,type,
% 0.23/0.52 combin_i_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(combin_k_2E0,type,
% 0.23/0.52 combin_k_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(combin_s_2E0,type,
% 0.23/0.52 combin_s_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_21_2E0,type,
% 0.23/0.52 c_2Ebool_2E_21_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_21_2E1,type,
% 0.23/0.52 c_2Ebool_2E_21_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.23/0.52 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.23/0.52 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Emin_2E_3D_2E0,type,
% 0.23/0.52 c_2Emin_2E_3D_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Emin_2E_3D_2E2,type,
% 0.23/0.52 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.23/0.52 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.23/0.52 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_3F_2E0,type,
% 0.23/0.52 c_2Ebool_2E_3F_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_3F_2E1,type,
% 0.23/0.52 c_2Ebool_2E_3F_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2ECOND_2E0,type,
% 0.23/0.52 c_2Ebool_2ECOND_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2ECOND_2E3,type,
% 0.23/0.52 c_2Ebool_2ECOND_2E3: du > du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2EF_2E0,type,
% 0.23/0.52 c_2Ebool_2EF_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2EIS__SOME_2E0,type,
% 0.23/0.52 c_2Eoption_2EIS__SOME_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2EIS__SOME_2E1,type,
% 0.23/0.52 c_2Eoption_2EIS__SOME_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2ENONE_2E0,type,
% 0.23/0.52 c_2Eoption_2ENONE_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2EOPTION__MAP2_2E0,type,
% 0.23/0.52 c_2Eoption_2EOPTION__MAP2_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2EOPTION__MAP2_2E3,type,
% 0.23/0.52 c_2Eoption_2EOPTION__MAP2_2E3: du > du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2ESOME_2E0,type,
% 0.23/0.52 c_2Eoption_2ESOME_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2ESOME_2E1,type,
% 0.23/0.52 c_2Eoption_2ESOME_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2ET_2E0,type,
% 0.23/0.52 c_2Ebool_2ET_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2ETHE_2E0,type,
% 0.23/0.52 c_2Eoption_2ETHE_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Eoption_2ETHE_2E1,type,
% 0.23/0.52 c_2Eoption_2ETHE_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.23/0.52 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.23/0.52 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_7E_2E0,type,
% 0.23/0.52 c_2Ebool_2E_7E_2E0: u ).
% 0.23/0.52
% 0.23/0.52 thf(c_2Ebool_2E_7E_2E1,type,
% 0.23/0.52 c_2Ebool_2E_7E_2E1: du > u ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.23/0.52 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.23/0.52 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.23/0.52 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.23/0.52 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Ebool_2EF,type,
% 0.23/0.52 mono_2Ec_2Ebool_2EF: $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Ebool_2ET,type,
% 0.23/0.52 mono_2Ec_2Ebool_2ET: $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.23/0.52 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.23/0.52 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.23/0.52 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.23/0.52
% 0.23/0.52 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.23/0.52 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.23/0.52
% 0.23/0.52 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.23/0.52 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.23/0.52
% 0.23/0.52 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.23/0.52 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.23/0.52
% 0.23/0.52 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.23/0.52 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.23/0.52 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.23/0.52 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.23/0.52 ( ! [V2x_2E0: u] :
% 0.23/0.52 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.23/0.52 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.23/0.52 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.23/0.52 ! [A_27a: d,V0x_2E0: u] :
% 0.23/0.52 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.23/0.52 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) )
% 0.23/0.52 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Eho_2Es__thm,axiom,
% 0.23/0.52 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) )
% 0.23/0.52 = ( 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 ) ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.23/0.52 ! [V0: $o,V1: $o] :
% 0.23/0.52 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.23/0.52 <=> ( V0
% 0.23/0.52 & V1 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.23/0.52 ! [V0: $o,V1: $o] :
% 0.23/0.52 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.23/0.52 <=> ( V0
% 0.23/0.52 | V1 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Elogic_2E_7E,axiom,
% 0.23/0.52 ! [V0: $o] :
% 0.23/0.52 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.23/0.52 <=> ( (~) @ V0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.23/0.52 ! [V0: $o,V1: $o] :
% 0.23/0.52 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.23/0.52 <=> ( V0
% 0.23/0.52 => V1 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Elogic_2E_3D,axiom,
% 0.23/0.52 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.23/0.52 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.23/0.52 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Equant_2E_21,axiom,
% 0.23/0.52 ! [A_27a: d,V0f_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 <=> ! [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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(reserved_2Equant_2E_3F,axiom,
% 0.23/0.52 ! [A_27a: d,V0f_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 <=> ? [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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.23/0.52 ! [V0_2E0: u] :
% 0.23/0.52 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.23/0.52 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.23/0.52 ! [V0_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.23/0.52 ! [V0_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.23/0.52 ! [V0: $o] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.23/0.52 = V0 ) ).
% 0.23/0.52
% 0.23/0.52 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.23/0.52 ! [V0: $o > $o] :
% 0.23/0.52 ( ( 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 ) ) )
% 0.23/0.52 = V0 ) ).
% 0.23/0.52
% 0.23/0.52 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.23/0.52 ! [V0: $o > $o > $o] :
% 0.23/0.52 ( ( 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 ) ) )
% 0.23/0.52 = V0 ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 = ( 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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.23/0.52 ( ( ( s @ A_27a @ X0_2E0 )
% 0.23/0.52 = ( s @ A_27a @ X1_2E0 ) )
% 0.23/0.52 <=> ( 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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u] :
% 0.23/0.52 ( ( 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 ) ) ) )
% 0.23/0.52 = ( 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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.23/0.52 ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Eoption_2Eoption_28A_27a_29,axiom,
% 0.23/0.52 ! [A_27a: d,X0: $o,X1_2E0: u,X2_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X2_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ X0 ) ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X2_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2EIS__SOME_2E1_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) ) )
% 0.23/0.52 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ tyop_2Emin_2Ebool ) @ c_2Eoption_2EIS__SOME_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2EIS__SOME_2E1_2Emono_2EA_27b,axiom,
% 0.23/0.52 ! [A_27b: d,X0_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X0_2E0 ) ) ) )
% 0.23/0.52 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ tyop_2Emin_2Ebool ) @ c_2Eoption_2EIS__SOME_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X0_2E0 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2EIS__SOME_2E1_2Emono_2EA_27c,axiom,
% 0.23/0.52 ! [A_27c: d,X0_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X0_2E0 ) ) ) )
% 0.23/0.52 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ tyop_2Emin_2Ebool ) @ c_2Eoption_2EIS__SOME_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X0_2E0 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq3_2Ec_2Eoption_2EOPTION__MAP2_2E3_2Emono_2EA_27a_20mono_2EA_27b_20mono_2EA_27c,axiom,
% 0.23/0.52 ! [A_27a: d,A_27b: d,A_27c: d,X0_2E0: u,X1_2E0: u,X2_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ X0_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X2_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( tyop_2Eoption_2Eoption @ A_27a ) ) ) ) @ c_2Eoption_2EOPTION__MAP2_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X2_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ c_2Eoption_2ESOME_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27b,axiom,
% 0.23/0.52 ! [A_27b: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Eoption_2Eoption @ A_27b ) ) @ c_2Eoption_2ESOME_2E0 ) @ ( s @ A_27b @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ESOME_2E1_2Emono_2EA_27c,axiom,
% 0.23/0.52 ! [A_27c: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27c @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ ( tyop_2Eoption_2Eoption @ A_27c ) ) @ c_2Eoption_2ESOME_2E0 ) @ ( s @ A_27c @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ETHE_2E1_2Emono_2EA_27a,axiom,
% 0.23/0.52 ! [A_27a: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27a ) @ A_27a ) @ c_2Eoption_2ETHE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ETHE_2E1_2Emono_2EA_27b,axiom,
% 0.23/0.52 ! [A_27b: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ A_27b @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ A_27b ) @ c_2Eoption_2ETHE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(arityeq1_2Ec_2Eoption_2ETHE_2E1_2Emono_2EA_27c,axiom,
% 0.23/0.52 ! [A_27c: d,X0_2E0: u] :
% 0.23/0.52 ( ( s @ A_27c @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X0_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ A_27c ) @ c_2Eoption_2ETHE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ X0_2E0 ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.23/0.52 ! [V0: $o > $o,V1: $o] :
% 0.23/0.52 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.23/0.52 = ( 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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.23/0.52 ! [V0: $o > $o > $o,V1: $o] :
% 0.23/0.52 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.23/0.52 = ( 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 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.23/0.52 ! [V0: $o > $o,V1: $o] :
% 0.23/0.52 ( ( V0 @ V1 )
% 0.23/0.52 = ( V0 @ V1 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.23/0.52 ! [V0: $o > $o > $o,V1: $o] :
% 0.23/0.52 ( ( V0 @ V1 )
% 0.23/0.52 = ( V0 @ V1 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.23/0.52 mono_2Ec_2Ebool_2ET ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Ebool_2EAND__CLAUSES,axiom,
% 0.23/0.52 ! [V0t: $o] :
% 0.23/0.52 ( ( ( mono_2Ec_2Ebool_2ET
% 0.23/0.52 & V0t )
% 0.23/0.52 <=> V0t )
% 0.23/0.52 & ( ( V0t
% 0.23/0.52 & mono_2Ec_2Ebool_2ET )
% 0.23/0.52 <=> V0t )
% 0.23/0.52 & ( ( mono_2Ec_2Ebool_2EF
% 0.23/0.52 & V0t )
% 0.23/0.52 <=> mono_2Ec_2Ebool_2EF )
% 0.23/0.52 & ( ( V0t
% 0.23/0.52 & mono_2Ec_2Ebool_2EF )
% 0.23/0.52 <=> mono_2Ec_2Ebool_2EF )
% 0.23/0.52 & ( ( V0t
% 0.23/0.52 & V0t )
% 0.23/0.52 <=> V0t ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Ebool_2EREFL__CLAUSE,axiom,
% 0.23/0.52 ! [A_27a: d,V0x_2E0: u] :
% 0.23/0.52 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.23/0.52 = ( s @ A_27a @ V0x_2E0 ) )
% 0.23/0.52 <=> mono_2Ec_2Ebool_2ET ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Ebool_2ECOND__CLAUSES,axiom,
% 0.23/0.52 ! [A_27a: d,V0t1_2E0: u,V1t2_2E0: u] :
% 0.23/0.52 ( ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2ET ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27a @ V0t1_2E0 ) )
% 0.23/0.52 & ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ mono_2Ec_2Ebool_2EF ) ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
% 0.23/0.52 = ( s @ A_27a @ V1t2_2E0 ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Eoption_2ESOME__11,axiom,
% 0.23/0.52 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.23/0.52 ( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V1y_2E0 ) ) ) )
% 0.23/0.52 <=> ( ( s @ A_27a @ V0x_2E0 )
% 0.23/0.52 = ( s @ A_27a @ V1y_2E0 ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Eoption_2EIS__SOME__DEF,axiom,
% 0.23/0.52 ! [A_27a: d] :
% 0.23/0.52 ( ! [V0x_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) ) ) ) )
% 0.23/0.52 = mono_2Ec_2Ebool_2ET )
% 0.23/0.52 & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
% 0.23/0.52 = mono_2Ec_2Ebool_2EF ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Eoption_2ETHE__DEF,axiom,
% 0.23/0.52 ! [A_27a: d,V0x_2E0: u] :
% 0.23/0.52 ( ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) ) ) )
% 0.23/0.52 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Eoption_2EOPTION__MAP2__DEF,axiom,
% 0.23/0.52 ! [A_27a: d,A_27b: d,A_27c: d,F0_2E0: u] :
% 0.23/0.52 ( ! [V1x_2E0: u,V2y_2E0: u] :
% 0.23/0.52 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ tyop_2Emin_2Ebool ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ V2y_2E0 ) ) ) )
% 0.23/0.52 <=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V1x_2E0 ) ) ) )
% 0.23/0.52 & ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ V2y_2E0 ) ) ) ) ) )
% 0.23/0.52 => ! [V0f_2E0: u,V1x_2E0: u,V2y_2E0: u] :
% 0.23/0.52 ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V0f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V1x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ V2y_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Eoption_2Eoption @ A_27c ) @ tyop_2Emin_2Ebool ) ) @ F0_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ V2y_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V0f_2E0 ) @ ( s @ A_27b @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V1x_2E0 ) ) ) ) ) @ ( s @ A_27c @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ V2y_2E0 ) ) ) ) ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ).
% 0.23/0.52
% 0.23/0.52 thf(thm_2Eoption_2EOPTION__MAP2__THM,conjecture,
% 0.23/0.52 ! [A_27a: d,A_27b: d,A_27c: d,V0y_2E0: u,V1x_2E0: u,V2f_2E0: u] :
% 0.23/0.52 ( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27c @ V0y_2E0 ) ) ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V2f_2E0 ) @ ( s @ A_27b @ V1x_2E0 ) ) ) @ ( s @ A_27c @ V0y_2E0 ) ) ) ) ) )
% 0.23/0.52 & ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ c_2Eoption_2ENONE_2E0 ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) )
% 0.23/0.52 & ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27c @ V0y_2E0 ) ) ) ) )
% 0.23/0.52 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) )
% 0.23/0.52 & ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__MAP2_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ ( tyop_2Emin_2Efun @ A_27c @ A_27a ) ) @ V2f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27c ) @ c_2Eoption_2ENONE_2E0 ) ) )
% 0.23/0.54 = ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) ).
% 0.23/0.54
% 0.23/0.54 %------------------------------------------------------------------------------
% 0.23/0.54 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Tko1QpjZhC/cvc5---1.0.5_14799.p...
% 0.23/0.54 (declare-sort $$unsorted 0)
% 0.23/0.54 (declare-sort tptp.u 0)
% 0.23/0.54 (declare-sort tptp.d 0)
% 0.23/0.54 (declare-sort tptp.du 0)
% 0.23/0.54 (declare-fun tptp.tyop_2Emin_2Ebool () tptp.d)
% 0.23/0.54 (declare-fun tptp.tyop_2Emin_2Efun (tptp.d tptp.d) tptp.d)
% 0.23/0.54 (declare-fun tptp.tyop_2Eoption_2Eoption (tptp.d) tptp.d)
% 0.23/0.54 (declare-fun tptp.s (tptp.d tptp.u) tptp.du)
% 0.23/0.54 (declare-fun tptp.app_2E2 (tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.combin_i_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.combin_k_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.combin_s_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_21_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_21_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E2 (tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Emin_2E_3D_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Emin_2E_3D_2E2 (tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E2 (tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_3F_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_3F_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2ECOND_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2ECOND_2E3 (tptp.du tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2EF_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2EIS__SOME_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2ENONE_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2EOPTION__MAP2_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2EOPTION__MAP2_2E3 (tptp.du tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2ESOME_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2ESOME_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2ET_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2ETHE_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Eoption_2ETHE_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E2 (tptp.du tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_7E_2E0 () tptp.u)
% 0.23/0.54 (declare-fun tptp.c_2Ebool_2E_7E_2E1 (tptp.du) tptp.u)
% 0.23/0.54 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool ((-> Bool Bool) Bool) Bool)
% 0.23/0.54 (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)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Ebool_2E_2F_5C (Bool Bool) Bool)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Emin_2E_3D_3D_3E (Bool Bool) Bool)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Ebool_2EF () Bool)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Ebool_2ET () Bool)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Ebool_2E_5C_2F (Bool Bool) Bool)
% 0.23/0.54 (declare-fun tptp.mono_2Ec_2Ebool_2E_7E (Bool) Bool)
% 0.23/0.54 (declare-fun tptp.i_mono_2Etyop_2Emin_2Ebool (Bool) tptp.u)
% 0.23/0.54 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((-> Bool Bool)) tptp.u)
% 0.23/0.54 (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)
% 0.23/0.54 (declare-fun tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.du) Bool)
% 0.23/0.54 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.du Bool) Bool)
% 0.23/0.54 (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)
% 0.23/0.54 (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))))))
% 0.23/0.54 (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)))))
% 0.23/0.54 (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))))))
% 0.23/0.54 (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)))))))))))))))))
% 0.23/0.54 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_2F_5C V0) V1) (and V0 V1))))
% 0.23/0.54 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))))
% 0.23/0.54 (assert (forall ((V0 Bool)) (= (@ tptp.mono_2Ec_2Ebool_2E_7E V0) (not V0))))
% 0.23/0.54 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))))
% 0.23/0.54 (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)))))))
% 0.23/0.54 (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))))))))
% 0.23/0.54 (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))))))))
% 0.23/0.54 (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)))))
% 0.23/0.54 (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)))))
% 0.23/0.54 (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))))))
% 0.23/0.54 (assert (forall ((V0 Bool)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V0))) V0)))
% 0.23/0.54 (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)))
% 0.23/0.54 (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))))
% 0.23/0.54 (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)))))))))
% 0.23/0.54 (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)))))))))))
% 0.23/0.54 (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)))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (X0 Bool) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 X2_2E0))) (let ((_let_3 (@ _let_1 X1_2E0))) (let ((_let_4 (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool X0)))) (let ((_let_5 (@ tptp.tyop_2Emin_2Efun A_27a))) (let ((_let_6 (@ _let_5 A_27a))) (let ((_let_7 (@ _let_5 _let_6))) (= (@ _let_1 (@ (@ (@ tptp.c_2Ebool_2ECOND_2E3 _let_4) _let_3) _let_2)) (@ _let_1 (@ (@ 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_2Emin_2Ebool) _let_7)) tptp.c_2Ebool_2ECOND_2E0)) _let_4))) _let_3))) _let_2))))))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (X0 Bool) (X1_2E0 tptp.u) (X2_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (@ tptp.s _let_1))) (let ((_let_3 (@ _let_2 X2_2E0))) (let ((_let_4 (@ _let_2 X1_2E0))) (let ((_let_5 (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool X0)))) (let ((_let_6 (@ tptp.tyop_2Emin_2Efun _let_1))) (let ((_let_7 (@ _let_6 _let_1))) (let ((_let_8 (@ _let_6 _let_7))) (= (@ _let_2 (@ (@ (@ tptp.c_2Ebool_2ECOND_2E3 _let_5) _let_4) _let_3)) (@ _let_2 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_7) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool) _let_8)) tptp.c_2Ebool_2ECOND_2E0)) _let_5))) _let_4))) _let_3)))))))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27a))) (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_2Eoption_2EIS__SOME_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_2Eoption_2EIS__SOME_2E0)) _let_2)))))))))
% 0.23/0.54 (assert (forall ((A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27b))) (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_2Eoption_2EIS__SOME_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_2Eoption_2EIS__SOME_2E0)) _let_2)))))))))
% 0.23/0.54 (assert (forall ((A_27c tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27c))) (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_2Eoption_2EIS__SOME_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_2Eoption_2EIS__SOME_2E0)) _let_2)))))))))
% 0.23/0.54 (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.tyop_2Eoption_2Eoption A_27c))) (let ((_let_2 (@ (@ tptp.s _let_1) X2_2E0))) (let ((_let_3 (@ tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X1_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun A_27b) (@ (@ tptp.tyop_2Emin_2Efun A_27c) A_27a)))) (let ((_let_6 (@ (@ tptp.s _let_5) X0_2E0))) (let ((_let_7 (@ tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_8 (@ (@ tptp.tyop_2Emin_2Efun _let_1) _let_7))) (let ((_let_9 (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_8))) (let ((_let_10 (@ tptp.s _let_7))) (= (@ _let_10 (@ (@ (@ tptp.c_2Eoption_2EOPTION__MAP2_2E3 _let_6) _let_4) _let_2)) (@ _let_10 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_8) (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_9) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_5) _let_9)) tptp.c_2Eoption_2EOPTION__MAP2_2E0)) _let_6))) _let_4))) _let_2)))))))))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) X0_2E0))) (let ((_let_2 (@ tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.c_2Eoption_2ESOME_2E1 _let_1)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) _let_2)) tptp.c_2Eoption_2ESOME_2E0)) _let_1))))))))
% 0.23/0.54 (assert (forall ((A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27b) X0_2E0))) (let ((_let_2 (@ tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.c_2Eoption_2ESOME_2E1 _let_1)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) _let_2)) tptp.c_2Eoption_2ESOME_2E0)) _let_1))))))))
% 0.23/0.54 (assert (forall ((A_27c tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27c) X0_2E0))) (let ((_let_2 (@ tptp.tyop_2Eoption_2Eoption A_27c))) (let ((_let_3 (@ tptp.s _let_2))) (= (@ _let_3 (@ tptp.c_2Eoption_2ESOME_2E1 _let_1)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27c) _let_2)) tptp.c_2Eoption_2ESOME_2E0)) _let_1))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27a))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ tptp.s A_27a))) (= (@ _let_3 (@ tptp.c_2Eoption_2ETHE_2E1 _let_2)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) A_27a)) tptp.c_2Eoption_2ETHE_2E0)) _let_2))))))))
% 0.23/0.54 (assert (forall ((A_27b tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ tptp.s A_27b))) (= (@ _let_3 (@ tptp.c_2Eoption_2ETHE_2E1 _let_2)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) A_27b)) tptp.c_2Eoption_2ETHE_2E0)) _let_2))))))))
% 0.23/0.54 (assert (forall ((A_27c tptp.d) (X0_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27c))) (let ((_let_2 (@ (@ tptp.s _let_1) X0_2E0))) (let ((_let_3 (@ tptp.s A_27c))) (= (@ _let_3 (@ tptp.c_2Eoption_2ETHE_2E1 _let_2)) (@ _let_3 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_1) A_27c)) tptp.c_2Eoption_2ETHE_2E0)) _let_2))))))))
% 0.23/0.54 (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))))))))
% 0.23/0.54 (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))))))))))
% 0.23/0.54 (assert (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.23/0.54 (assert (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.23/0.54 (assert tptp.mono_2Ec_2Ebool_2ET)
% 0.23/0.54 (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))))
% 0.23/0.54 (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))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (V0t1_2E0 tptp.u) (V1t2_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27a))) (let ((_let_2 (@ _let_1 V1t2_2E0))) (let ((_let_3 (@ _let_1 V0t1_2E0))) (let ((_let_4 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (and (= (@ _let_1 (@ (@ (@ tptp.c_2Ebool_2ECOND_2E3 (@ _let_4 (@ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2ET))) _let_3) _let_2)) _let_3) (= (@ _let_1 (@ (@ (@ tptp.c_2Ebool_2ECOND_2E3 (@ _let_4 (@ tptp.i_mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2EF))) _let_3) _let_2)) _let_2))))))))
% 0.23/0.54 (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 V1y_2E0))) (let ((_let_3 (@ _let_1 V0x_2E0))) (let ((_let_4 (@ tptp.s (@ tptp.tyop_2Eoption_2Eoption A_27a)))) (= (= (@ _let_4 (@ tptp.c_2Eoption_2ESOME_2E1 _let_3)) (@ _let_4 (@ tptp.c_2Eoption_2ESOME_2E1 _let_2))) (= _let_3 _let_2))))))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d)) (and (forall ((V0x_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Eoption_2EIS__SOME_2E1 (@ (@ tptp.s (@ tptp.tyop_2Eoption_2Eoption A_27a)) (@ tptp.c_2Eoption_2ESOME_2E1 (@ (@ tptp.s A_27a) V0x_2E0)))))) tptp.mono_2Ec_2Ebool_2ET)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.c_2Eoption_2EIS__SOME_2E1 (@ (@ tptp.s (@ tptp.tyop_2Eoption_2Eoption A_27a)) tptp.c_2Eoption_2ENONE_2E0)))) tptp.mono_2Ec_2Ebool_2EF))))
% 0.23/0.54 (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_2Eoption_2ETHE_2E1 (@ (@ tptp.s (@ tptp.tyop_2Eoption_2Eoption A_27a)) (@ tptp.c_2Eoption_2ESOME_2E1 _let_2)))) _let_2)))))
% 0.23/0.54 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (A_27c tptp.d) (F0_2E0 tptp.u)) (=> (forall ((V1x_2E0 tptp.u) (V2y_2E0 tptp.u)) (let ((_let_1 (@ tptp.tyop_2Eoption_2Eoption A_27c))) (let ((_let_2 (@ (@ tptp.s _let_1) V2y_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (let ((_let_4 (@ tptp.tyop_2Eoption_2Eoption A_27b))) (let ((_let_5 (@ (@ tptp.s _let_4) V1x_2E0))) (let ((_let_6 (@ (@ /export/starexec/sandbox/solver/bin/do_THM_THF: line 35: 17556 Alarm clock ( read result; case "$result" in
% 299.78/300.14 unsat)
% 299.78/300.14 echo "% SZS status $unsatResult for $tptpfilename"; echo "% SZS output start Proof for $tptpfilename"; cat; echo "% SZS output end Proof for $tptpfilename"; exit 0
% 299.78/300.14 ;;
% 299.78/300.14 sat)
% 299.78/300.14 echo "% SZS status $satResult for $tptpfilename"; cat; exit 0
% 299.78/300.14 ;;
% 299.78/300.14 esac; exit 1 )
% 299.78/300.15 Alarm clock
% 299.78/300.15 % cvc5---1.0.5 exiting
% 299.78/300.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------