TSTP Solution File: ITP006^1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP006^1 : 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 03:14:05 EDT 2023
% Result : Theorem 0.53s 0.72s
% Output : Proof 0.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : ITP006^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 14:46:08 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TH0
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 % File : ITP006^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.21/0.51 % Domain : Interactive Theorem Proving
% 0.21/0.51 % Problem : HOL4 syntactic export of thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT.p, bushy mode
% 0.21/0.51 % Version : [BG+19] axioms.
% 0.21/0.51 % English :
% 0.21/0.51
% 0.21/0.51 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 0.21/0.51 % : [Gau19] Gauthier (2019), Email to Geoff Sutcliffe
% 0.21/0.51 % Source : [BG+19]
% 0.21/0.51 % Names : thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT.p [Gau19]
% 0.21/0.51 % : HL402501^1.p [TPAP]
% 0.21/0.51
% 0.21/0.51 % Status : Theorem
% 0.21/0.51 % Rating : 0.46 v8.1.0, 0.45 v7.5.0
% 0.21/0.51 % Syntax : Number of formulae : 103 ( 27 unt; 52 typ; 0 def)
% 0.21/0.51 % Number of atoms : 153 ( 37 equ; 39 cnn)
% 0.21/0.51 % Maximal formula atoms : 20 ( 3 avg)
% 0.21/0.51 % Number of connectives : 1157 ( 39 ~; 22 |; 25 &; 992 @)
% 0.21/0.51 % ( 40 <=>; 39 =>; 0 <=; 0 <~>)
% 0.21/0.51 % Maximal formula depth : 24 ( 6 avg)
% 0.21/0.51 % Number of types : 4 ( 3 usr)
% 0.21/0.51 % Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% 0.21/0.51 % Number of symbols : 51 ( 49 usr; 22 con; 0-3 aty)
% 0.21/0.51 % Number of variables : 145 ( 0 ^; 140 !; 5 ?; 145 :)
% 0.21/0.51 % SPC : TH0_THM_EQU_NAR
% 0.21/0.51
% 0.21/0.51 % Comments :
% 0.21/0.51 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 0.21/0.51 %------------------------------------------------------------------------------
% 0.21/0.51 thf(u,type,
% 0.21/0.51 u: $tType ).
% 0.21/0.51
% 0.21/0.51 thf(d,type,
% 0.21/0.51 d: $tType ).
% 0.21/0.51
% 0.21/0.51 thf(du,type,
% 0.21/0.51 du: $tType ).
% 0.21/0.51
% 0.21/0.51 thf(tyop_2Emin_2Ebool,type,
% 0.21/0.51 tyop_2Emin_2Ebool: d ).
% 0.21/0.51
% 0.21/0.51 thf(tyop_2Emin_2Efun,type,
% 0.21/0.51 tyop_2Emin_2Efun: d > d > d ).
% 0.21/0.51
% 0.21/0.51 thf(s,type,
% 0.21/0.51 s: d > u > du ).
% 0.21/0.51
% 0.21/0.51 thf(app_2E2,type,
% 0.21/0.51 app_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(combin_i_2E0,type,
% 0.21/0.51 combin_i_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(combin_k_2E0,type,
% 0.21/0.51 combin_k_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(combin_s_2E0,type,
% 0.21/0.51 combin_s_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_21_2E0,type,
% 0.21/0.51 c_2Ebool_2E_21_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_21_2E1,type,
% 0.21/0.51 c_2Ebool_2E_21_2E1: du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 0.21/0.51 c_2Ebool_2E_2F_5C_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 0.21/0.51 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Emin_2E_3D_2E0,type,
% 0.21/0.51 c_2Emin_2E_3D_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Emin_2E_3D_2E2,type,
% 0.21/0.51 c_2Emin_2E_3D_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 0.21/0.51 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 0.21/0.51 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_3F_2E0,type,
% 0.21/0.51 c_2Ebool_2E_3F_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_3F_2E1,type,
% 0.21/0.51 c_2Ebool_2E_3F_2E1: du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2EF_2E0,type,
% 0.21/0.51 c_2Ebool_2EF_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2,type,
% 0.21/0.51 c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2ET_2E0,type,
% 0.21/0.51 c_2Ebool_2ET_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 0.21/0.51 c_2Ebool_2E_5C_2F_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 0.21/0.51 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_7E_2E0,type,
% 0.21/0.51 c_2Ebool_2E_7E_2E0: u ).
% 0.21/0.51
% 0.21/0.51 thf(c_2Ebool_2E_7E_2E1,type,
% 0.21/0.51 c_2Ebool_2E_7E_2E1: du > u ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.51 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 0.21/0.51 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 0.21/0.51 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Ebool_2EF,type,
% 0.21/0.51 mono_2Ec_2Ebool_2EF: $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Ebool_2ET,type,
% 0.21/0.51 mono_2Ec_2Ebool_2ET: $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 0.21/0.51 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(mono_2Ec_2Ebool_2E_7E,type,
% 0.21/0.51 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.51 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 0.21/0.51
% 0.21/0.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 0.21/0.51
% 0.21/0.51 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.51 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 0.21/0.51
% 0.21/0.51 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 0.21/0.51 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 0.21/0.51
% 0.21/0.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 0.21/0.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 0.21/0.51 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Eho_2Eeq__ext,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 0.21/0.51 ( ! [V2x_2E0: u] :
% 0.21/0.51 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.21/0.51 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 0.21/0.51 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 0.21/0.51 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Eho_2Ei__thm,axiom,
% 0.21/0.51 ! [A_27a: d,V0x_2E0: u] :
% 0.21/0.51 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 0.21/0.51 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Eho_2Ek__thm,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 0.21/0.51 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 0.21/0.51 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Eho_2Es__thm,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 0.21/0.51 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 0.21/0.51 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 0.21/0.51 ! [V0: $o,V1: $o] :
% 0.21/0.51 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 0.21/0.51 <=> ( V0
% 0.21/0.51 & V1 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 0.21/0.51 ! [V0: $o,V1: $o] :
% 0.21/0.51 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 0.21/0.51 <=> ( V0
% 0.21/0.51 | V1 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Elogic_2E_7E,axiom,
% 0.21/0.51 ! [V0: $o] :
% 0.21/0.51 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 0.21/0.51 <=> ( (~) @ V0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 0.21/0.51 ! [V0: $o,V1: $o] :
% 0.21/0.51 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 0.21/0.51 <=> ( V0
% 0.21/0.51 => V1 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Elogic_2E_3D,axiom,
% 0.21/0.51 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 0.21/0.51 <=> ( ( s @ A_27a @ V0_2E0 )
% 0.21/0.51 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Equant_2E_21,axiom,
% 0.21/0.51 ! [A_27a: d,V0f_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(reserved_2Equant_2E_3F,axiom,
% 0.21/0.51 ! [A_27a: d,V0f_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 0.21/0.51 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.51 ! [V0_2E0: u] :
% 0.21/0.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 0.21/0.51 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.51 ! [V0_2E0: u] :
% 0.21/0.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 0.21/0.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.51 ! [V0_2E0: u] :
% 0.21/0.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 0.21/0.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.51 ! [V0: $o] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 0.21/0.51 = V0 ) ).
% 0.21/0.51
% 0.21/0.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.51 ! [V0: $o > $o] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 0.21/0.51 = V0 ) ).
% 0.21/0.51
% 0.21/0.51 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 0.21/0.51 ! [V0: $o > $o > $o] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 0.21/0.51 = V0 ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 0.21/0.51 ! [A_27a: d,X0_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 0.21/0.51 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( ( s @ A_27a @ X0_2E0 )
% 0.21/0.51 = ( s @ A_27a @ X1_2E0 ) )
% 0.21/0.51 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 0.21/0.51 ! [A_27a: d,X0_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__EXISTS_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__FORALL_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(arityeq2_2Ec_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,X0_2E0: u,X1_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) )
% 0.21/0.51 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) ) @ c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X1_2E0 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.51 ! [V0: $o > $o,V1: $o] :
% 0.21/0.51 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 0.21/0.51 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.51 ! [V0: $o > $o > $o,V1: $o] :
% 0.21/0.51 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 0.21/0.51 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 0.21/0.51 ! [V0: $o > $o,V1: $o] :
% 0.21/0.51 ( ( V0 @ V1 )
% 0.21/0.51 = ( V0 @ V1 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 0.21/0.51 ! [V0: $o > $o > $o,V1: $o] :
% 0.21/0.51 ( ( V0 @ V1 )
% 0.21/0.51 = ( V0 @ V1 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2ETRUTH,axiom,
% 0.21/0.51 mono_2Ec_2Ebool_2ET ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2EIMP__CLAUSES,axiom,
% 0.21/0.51 ! [V0t: $o] :
% 0.21/0.51 ( ( ( mono_2Ec_2Ebool_2ET
% 0.21/0.51 => V0t )
% 0.21/0.51 <=> V0t )
% 0.21/0.51 & ( ( V0t
% 0.21/0.51 => mono_2Ec_2Ebool_2ET )
% 0.21/0.51 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.51 & ( ( mono_2Ec_2Ebool_2EF
% 0.21/0.51 => V0t )
% 0.21/0.51 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.51 & ( ( V0t
% 0.21/0.51 => V0t )
% 0.21/0.51 <=> mono_2Ec_2Ebool_2ET )
% 0.21/0.51 & ( ( V0t
% 0.21/0.51 => mono_2Ec_2Ebool_2EF )
% 0.21/0.51 <=> ( (~) @ V0t ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2ENOT__CLAUSES,axiom,
% 0.21/0.51 ( ! [V0t: $o] :
% 0.21/0.51 ( ( (~) @ ( (~) @ V0t ) )
% 0.21/0.51 <=> V0t )
% 0.21/0.51 & ( ( (~) @ mono_2Ec_2Ebool_2ET )
% 0.21/0.51 <=> mono_2Ec_2Ebool_2EF )
% 0.21/0.51 & ( ( (~) @ mono_2Ec_2Ebool_2EF )
% 0.21/0.51 <=> mono_2Ec_2Ebool_2ET ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2EEQ__SYM__EQ,axiom,
% 0.21/0.51 ! [A_27a: d,V0x_2E0: u,V1y_2E0: u] :
% 0.21/0.51 ( ( ( s @ A_27a @ V0x_2E0 )
% 0.21/0.51 = ( s @ A_27a @ V1y_2E0 ) )
% 0.21/0.51 <=> ( ( s @ A_27a @ V1y_2E0 )
% 0.21/0.51 = ( s @ A_27a @ V0x_2E0 ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
% 0.21/0.51 ! [V0t: $o] :
% 0.21/0.51 ( ( ( mono_2Ec_2Ebool_2ET = V0t )
% 0.21/0.51 <=> V0t )
% 0.21/0.51 & ( ( V0t = mono_2Ec_2Ebool_2ET )
% 0.21/0.51 <=> V0t )
% 0.21/0.51 & ( ( mono_2Ec_2Ebool_2EF = V0t )
% 0.21/0.51 <=> ( (~) @ V0t ) )
% 0.21/0.51 & ( ( V0t = mono_2Ec_2Ebool_2EF )
% 0.21/0.51 <=> ( (~) @ V0t ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2EAND__IMP__INTRO,axiom,
% 0.21/0.51 ! [V0t1: $o,V1t2: $o,V2t3: $o] :
% 0.21/0.51 ( ( V0t1
% 0.21/0.51 => ( V1t2
% 0.21/0.51 => V2t3 ) )
% 0.21/0.51 <=> ( ( V0t1
% 0.21/0.51 & V1t2 )
% 0.21/0.51 => V2t3 ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Ebool_2EIMP__CONG,axiom,
% 0.21/0.51 ! [V0x: $o,V1x_27: $o,V2y: $o,V3y_27: $o] :
% 0.21/0.51 ( ( ( V0x = V1x_27 )
% 0.21/0.51 & ( V1x_27
% 0.21/0.51 => ( V2y = V3y_27 ) ) )
% 0.21/0.51 => ( ( V0x
% 0.21/0.51 => V2y )
% 0.21/0.51 <=> ( V1x_27
% 0.21/0.51 => V3y_27 ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2EquantHeuristics_2EGUESS__REWRITES,axiom,
% 0.21/0.51 ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u] :
% 0.21/0.51 ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V2v_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ V2v_2E0 ) ) ) )
% 0.21/0.51 => ? [V3fv_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V3fv_2E0 ) ) ) ) ) ) ) )
% 0.21/0.51 & ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V4v_2E0: u] :
% 0.21/0.51 ( ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ V4v_2E0 ) ) ) ) )
% 0.21/0.51 => ? [V5fv_2E0: u] : ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0i_2E0 ) @ ( s @ A_27a @ V5fv_2E0 ) ) ) ) ) ) ) ) )
% 0.21/0.51 & ! [V6i_2E0: u,V7P_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V8fv_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V7P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V6i_2E0 ) @ ( s @ A_27a @ V8fv_2E0 ) ) ) ) ) ) )
% 0.21/0.51 & ! [V9i_2E0: u,V10P_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V9i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V11fv_2E0: u] : ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V10P_2E0 ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V9i_2E0 ) @ ( s @ A_27a @ V11fv_2E0 ) ) ) ) ) ) ) )
% 0.21/0.51 & ! [V12i_2E0: u,V13P_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V14v_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V13P_2E0 ) @ ( s @ A_27b @ V14v_2E0 ) ) ) )
% 0.21/0.51 => ? [V15fv_2E0: u] :
% 0.21/0.51 ( ( s @ A_27b @ V14v_2E0 )
% 0.21/0.51 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V12i_2E0 ) @ ( s @ A_27a @ V15fv_2E0 ) ) ) ) ) )
% 0.21/0.51 & ! [V16i_2E0: u,V17P_2E0: u] :
% 0.21/0.51 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) ) ) )
% 0.21/0.51 <=> ! [V18v_2E0: u] :
% 0.21/0.51 ( ( (~) @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ V17P_2E0 ) @ ( s @ A_27b @ V18v_2E0 ) ) ) ) )
% 0.21/0.51 => ? [V19fv_2E0: u] :
% 0.21/0.51 ( ( s @ A_27b @ V18v_2E0 )
% 0.21/0.51 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V16i_2E0 ) @ ( s @ A_27a @ V19fv_2E0 ) ) ) ) ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Esat_2ENOT__NOT,axiom,
% 0.21/0.51 ! [V0t: $o] :
% 0.21/0.51 ( ( (~) @ ( (~) @ V0t ) )
% 0.21/0.51 <=> V0t ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Esat_2EAND__INV__IMP,axiom,
% 0.21/0.51 ! [V0A: $o] :
% 0.21/0.51 ( V0A
% 0.21/0.51 => ( ( (~) @ V0A )
% 0.21/0.51 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Esat_2EOR__DUAL2,axiom,
% 0.21/0.51 ! [V0B: $o,V1A: $o] :
% 0.21/0.51 ( ( ( (~)
% 0.21/0.51 @ ( V1A
% 0.21/0.51 | V0B ) )
% 0.21/0.51 => mono_2Ec_2Ebool_2EF )
% 0.21/0.51 <=> ( ( V1A
% 0.21/0.51 => mono_2Ec_2Ebool_2EF )
% 0.21/0.51 => ( ( (~) @ V0B )
% 0.21/0.51 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.21/0.51
% 0.21/0.51 thf(thm_2Esat_2EOR__DUAL3,axiom,
% 0.21/0.51 ! [V0B: $o,V1A: $o] :
% 0.21/0.53 ( ( ( (~)
% 0.21/0.53 @ ( ( (~) @ V1A )
% 0.21/0.53 | V0B ) )
% 0.21/0.53 => mono_2Ec_2Ebool_2EF )
% 0.21/0.53 <=> ( V1A
% 0.21/0.53 => ( ( (~) @ V0B )
% 0.21/0.53 => mono_2Ec_2Ebool_2EF ) ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2EAND__INV2,axiom,
% 0.21/0.53 ! [V0A: $o] :
% 0.21/0.53 ( ( ( (~) @ V0A )
% 0.21/0.53 => mono_2Ec_2Ebool_2EF )
% 0.21/0.53 => ( ( V0A
% 0.21/0.53 => mono_2Ec_2Ebool_2EF )
% 0.21/0.53 => mono_2Ec_2Ebool_2EF ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Edc__eq,axiom,
% 0.21/0.53 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.53 ( ( V2p
% 0.21/0.53 <=> ( V1q = V0r ) )
% 0.21/0.53 <=> ( ( V2p
% 0.21/0.53 | V1q
% 0.21/0.53 | V0r )
% 0.21/0.53 & ( V2p
% 0.21/0.53 | ( (~) @ V0r )
% 0.21/0.53 | ( (~) @ V1q ) )
% 0.21/0.53 & ( V1q
% 0.21/0.53 | ( (~) @ V0r )
% 0.21/0.53 | ( (~) @ V2p ) )
% 0.21/0.53 & ( V0r
% 0.21/0.53 | ( (~) @ V1q )
% 0.21/0.53 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Edc__disj,axiom,
% 0.21/0.53 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.53 ( ( V2p
% 0.21/0.53 <=> ( V1q
% 0.21/0.53 | V0r ) )
% 0.21/0.53 <=> ( ( V2p
% 0.21/0.53 | ( (~) @ V1q ) )
% 0.21/0.53 & ( V2p
% 0.21/0.53 | ( (~) @ V0r ) )
% 0.21/0.53 & ( V1q
% 0.21/0.53 | V0r
% 0.21/0.53 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Edc__imp,axiom,
% 0.21/0.53 ! [V0r: $o,V1q: $o,V2p: $o] :
% 0.21/0.53 ( ( V2p
% 0.21/0.53 <=> ( V1q
% 0.21/0.53 => V0r ) )
% 0.21/0.53 <=> ( ( V2p
% 0.21/0.53 | V1q )
% 0.21/0.53 & ( V2p
% 0.21/0.53 | ( (~) @ V0r ) )
% 0.21/0.53 & ( ( (~) @ V1q )
% 0.21/0.53 | V0r
% 0.21/0.53 | ( (~) @ V2p ) ) ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Edc__neg,axiom,
% 0.21/0.53 ! [V0q: $o,V1p: $o] :
% 0.21/0.53 ( ( V1p
% 0.21/0.53 <=> ( (~) @ V0q ) )
% 0.21/0.53 <=> ( ( V1p
% 0.21/0.53 | V0q )
% 0.21/0.53 & ( ( (~) @ V0q )
% 0.21/0.53 | ( (~) @ V1p ) ) ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Epth__ni1,axiom,
% 0.21/0.53 ! [V0q: $o,V1p: $o] :
% 0.21/0.53 ( ( (~)
% 0.21/0.53 @ ( V1p
% 0.21/0.53 => V0q ) )
% 0.21/0.53 => V1p ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2Esat_2Epth__ni2,axiom,
% 0.21/0.53 ! [V0q: $o,V1p: $o] :
% 0.21/0.53 ( ( (~)
% 0.21/0.53 @ ( V1p
% 0.21/0.53 => V0q ) )
% 0.21/0.53 => ( (~) @ V0q ) ) ).
% 0.21/0.53
% 0.21/0.53 thf(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT,conjecture,
% 0.21/0.53 ! [A_27a: d,A_27b: d,V0i_2E0: u,V1P_2E0: u,V2Q_2E0: u] :
% 0.21/0.53 ( ! [V3x_2E0: u] :
% 0.21/0.53 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) )
% 0.21/0.53 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) @ ( s @ A_27a @ V3x_2E0 ) ) ) ) )
% 0.21/0.53 => ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V1P_2E0 ) ) ) )
% 0.21/0.53 => ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ V0i_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V2Q_2E0 ) ) ) ) ) ) ).
% 0.21/0.53
% 0.21/0.53 %------------------------------------------------------------------------------
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Mc5Tz7V5xM/cvc5---1.0.5_32200.p...
% 0.21/0.53 (declare-sort $$unsorted 0)
% 0.21/0.53 (declare-sort tptp.u 0)
% 0.21/0.53 (declare-sort tptp.d 0)
% 0.21/0.53 (declare-sort tptp.du 0)
% 0.21/0.53 (declare-fun tptp.tyop_2Emin_2Ebool () tptp.d)
% 0.21/0.53 (declare-fun tptp.tyop_2Emin_2Efun (tptp.d tptp.d) tptp.d)
% 0.21/0.53 (declare-fun tptp.s (tptp.d tptp.u) tptp.du)
% 0.21/0.53 (declare-fun tptp.app_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.combin_i_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.combin_k_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.combin_s_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_21_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_21_2E1 (tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Emin_2E_3D_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Emin_2E_3D_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_3F_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_3F_2E1 (tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2EF_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2ET_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E2 (tptp.du tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_7E_2E0 () tptp.u)
% 0.21/0.53 (declare-fun tptp.c_2Ebool_2E_7E_2E1 (tptp.du) tptp.u)
% 0.21/0.53 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool ((-> Bool Bool) Bool) Bool)
% 0.21/0.53 (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)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Ebool_2E_2F_5C (Bool Bool) Bool)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Emin_2E_3D_3D_3E (Bool Bool) Bool)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Ebool_2EF () Bool)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Ebool_2ET () Bool)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Ebool_2E_5C_2F (Bool Bool) Bool)
% 0.21/0.53 (declare-fun tptp.mono_2Ec_2Ebool_2E_7E (Bool) Bool)
% 0.21/0.53 (declare-fun tptp.i_mono_2Etyop_2Emin_2Ebool (Bool) tptp.u)
% 0.21/0.53 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((-> Bool Bool)) tptp.u)
% 0.21/0.53 (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)
% 0.21/0.53 (declare-fun tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.du) Bool)
% 0.21/0.53 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.du Bool) Bool)
% 0.21/0.53 (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)
% 0.21/0.53 (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))))))
% 0.21/0.53 (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)))))
% 0.21/0.53 (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))))))
% 0.21/0.53 (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)))))))))))))))))
% 0.21/0.53 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_2F_5C V0) V1) (and V0 V1))))
% 0.21/0.53 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))))
% 0.21/0.53 (assert (forall ((V0 Bool)) (= (@ tptp.mono_2Ec_2Ebool_2E_7E V0) (not V0))))
% 0.21/0.53 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))))
% 0.21/0.53 (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)))))))
% 0.21/0.53 (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))))))))
% 0.21/0.53 (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))))))))
% 0.21/0.53 (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)))))
% 0.21/0.53 (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)))))
% 0.21/0.53 (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))))))
% 0.21/0.53 (assert (forall ((V0 Bool)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V0))) V0)))
% 0.21/0.53 (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)))
% 0.21/0.53 (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))))
% 0.21/0.53 (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)))))))))
% 0.21/0.54 (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)))))))))))
% 0.21/0.54 (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)))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) _let_4))) _let_2))))))))))))
% 0.21/0.54 (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))))))))
% 0.21/0.54 (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))))))))))
% 0.21/0.54 (assert (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.21/0.54 (assert (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 0.21/0.54 (assert tptp.mono_2Ec_2Ebool_2ET)
% 0.21/0.54 (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)))))
% 0.21/0.54 (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)))
% 0.21/0.54 (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 V0x_2E0))) (let ((_let_3 (@ _let_1 V1y_2E0))) (= (= _let_2 _let_3) (= _let_3 _let_2)))))))
% 0.21/0.54 (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)))))
% 0.21/0.54 (assert (forall ((V0t1 Bool) (V1t2 Bool) (V2t3 Bool)) (= (=> V0t1 (=> V1t2 V2t3)) (=> (and V0t1 V1t2) V2t3))))
% 0.21/0.54 (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)))))
% 0.21/0.54 (assert (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0))) (let ((_let_2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (and (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 _let_2) _let_1))) (forall ((V2v_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_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) V2v_2E0)))) (exists ((V3fv_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_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) (@ (@ tptp.s A_27a) V3fv_2E0)))))))))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 _let_2) _let_1))) (forall ((V4v_2E0 tptp.u)) (=> (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) V4v_2E0))))) (exists ((V5fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) (@ (@ tptp.s A_27a) V5fv_2E0))))))))))) (forall ((V6i_2E0 tptp.u) (V7P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V7P_2E0)))) (forall ((V8fv_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_27b) tptp.tyop_2Emin_2Ebool)) V7P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) (@ (@ tptp.s A_27a) V8fv_2E0))))))))) (forall ((V9i_2E0 tptp.u) (V10P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V10P_2E0)))) (forall ((V11fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V10P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) (@ (@ tptp.s A_27a) V11fv_2E0)))))))))) (forall ((V12i_2E0 tptp.u) (V13P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V13P_2E0)))) (forall ((V14v_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_27b) tptp.tyop_2Emin_2Ebool)) V13P_2E0)) (@ (@ tptp.s A_27b) V14v_2E0)))) (exists ((V15fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27b))) (= (@ _let_1 V14v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) (@ (@ tptp.s A_27a) V15fv_2E0)))))))))) (forall ((V16i_2E0 tptp.u) (V17P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V17P_2E0)))) (forall ((V18v_2E0 tptp.u)) (=> (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V17P_2E0)) (@ (@ tptp.s A_27b) V18v_2E0))))) (exists ((V19fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27b))) (= (@ _let_1 V18v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) (@ (@ tptp.s A_27a) V19fv_2E0))))))))))))))))
% 0.21/0.54 (assert (forall ((V0t Bool)) (= (not (not V0t)) V0t)))
% 0.21/0.54 (assert (forall ((V0A Bool)) (=> V0A (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF))))
% 0.21/0.54 (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)))))
% 0.21/0.54 (assert (forall ((V0B Bool) (V1A Bool)) (= (=> (not (or (not V1A) V0B)) tptp.mono_2Ec_2Ebool_2EF) (=> V1A (=> (not V0B) tptp.mono_2Ec_2Ebool_2EF)))))
% 0.21/0.54 (assert (forall ((V0A Bool)) (=> (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF) (=> (=> V0A tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF))))
% 0.21/0.54 (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))))))))
% 0.21/0.54 (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))))))
% 0.21/0.54 (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))))))
% 0.21/0.54 (assert (forall ((V0q Bool) (V1p Bool)) (let ((_let_1 (not V0q))) (= (= V1p _let_1) (and (or V1p V0q) (or _let_1 (not V1p)))))))
% 0.21/0.54 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) V1p)))
% 0.21/0.54 (assert (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) (not V0q))))
% 0.21/0.54 (assert (not (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u) (V2Q_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (=> (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V3x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V2Q_2E0)) _let_1))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1P_2E0)) _let_1)))))))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V1P_2E0)))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V2Q_2E0))))))))))))
% 0.21/0.54 (set-info :filename cvc5---1.0.5_32200)
% 0.21/0.54 (check-sat-assuming ( true ))
% 0.53/0.72 ------- get file name : TPTP file name is ITP006^1
% 0.53/0.72 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_32200.smt2...
% 0.53/0.72 --- Run --ho-elim --full-saturate-quant at 10...
% 0.53/0.72 % SZS status Theorem for ITP006^1
% 0.53/0.72 % SZS output start Proof for ITP006^1
% 0.53/0.72 (
% 0.53/0.72 (let ((_let_1 (not (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u) (V2Q_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (=> (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V3x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V2Q_2E0)) _let_1))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1P_2E0)) _let_1)))))))) (=> (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V1P_2E0)))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V2Q_2E0))))))))))))) (let ((_let_2 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0))) (let ((_let_2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (and (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 _let_2) _let_1))) (forall ((V2v_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_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) V2v_2E0)))) (exists ((V3fv_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_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) (@ (@ tptp.s A_27a) V3fv_2E0)))))))))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 _let_2) _let_1))) (forall ((V4v_2E0 tptp.u)) (=> (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) V4v_2E0))))) (exists ((V5fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V1P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V0i_2E0)) (@ (@ tptp.s A_27a) V5fv_2E0))))))))))) (forall ((V6i_2E0 tptp.u) (V7P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V7P_2E0)))) (forall ((V8fv_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_27b) tptp.tyop_2Emin_2Ebool)) V7P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V6i_2E0)) (@ (@ tptp.s A_27a) V8fv_2E0))))))))) (forall ((V9i_2E0 tptp.u) (V10P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V10P_2E0)))) (forall ((V11fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V10P_2E0)) (@ (@ tptp.s A_27b) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V9i_2E0)) (@ (@ tptp.s A_27a) V11fv_2E0)))))))))) (forall ((V12i_2E0 tptp.u) (V13P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V13P_2E0)))) (forall ((V14v_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_27b) tptp.tyop_2Emin_2Ebool)) V13P_2E0)) (@ (@ tptp.s A_27b) V14v_2E0)))) (exists ((V15fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27b))) (= (@ _let_1 V14v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V12i_2E0)) (@ (@ tptp.s A_27a) V15fv_2E0)))))))))) (forall ((V16i_2E0 tptp.u) (V17P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V17P_2E0)))) (forall ((V18v_2E0 tptp.u)) (=> (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) tptp.tyop_2Emin_2Ebool)) V17P_2E0)) (@ (@ tptp.s A_27b) V18v_2E0))))) (exists ((V19fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s A_27b))) (= (@ _let_1 V18v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b)) V16i_2E0)) (@ (@ tptp.s A_27a) V19fv_2E0))))))))))))))))) (let ((_let_3 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43))) (let ((_let_4 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44))) (let ((_let_5 (ho_10 (ho_9 k_8 _let_4) (ho_7 _let_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_152)))) (let ((_let_6 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42))) (let ((_let_7 (ho_7 _let_6 _let_5))) (let ((_let_8 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) tptp.tyop_2Emin_2Ebool)))) (let ((_let_9 (ho_7 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46))) (let ((_let_10 (ho_6 k_5 tptp.tyop_2Emin_2Ebool))) (let ((_let_11 (ho_19 k_18 (ho_7 _let_10 (ho_10 (ho_9 k_8 _let_9) _let_7))))) (let ((_let_12 (ho_7 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45))) (let ((_let_13 (ho_19 k_18 (ho_7 _let_10 (ho_10 (ho_9 k_8 _let_12) _let_7))))) (let ((_let_14 (not _let_11))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((V11fv_2E0 tptp.u)) (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) tptp.tyop_2Emin_2Ebool)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44)) (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) V11fv_2E0)))))))))) (let ((_let_17 (ho_9 k_37 _let_4))) (let ((_let_18 (ho_19 k_18 (ho_7 _let_10 (ho_10 _let_17 _let_9))))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (not _let_16))) (let ((_let_21 (forall ((BOUND_VARIABLE_2015 tptp.d) (BOUND_VARIABLE_2017 tptp.d) (V9i_2E0 tptp.u) (V10P_2E0 tptp.u)) (= (forall ((V11fv_2E0 tptp.u)) (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2017) tptp.tyop_2Emin_2Ebool)) V10P_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2017) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2015) BOUND_VARIABLE_2017)) V9i_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2015) V11fv_2E0)))))))) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_37 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2015) BOUND_VARIABLE_2017)) V9i_2E0)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2017) tptp.tyop_2Emin_2Ebool)) V10P_2E0)))))))) (let ((_let_22 (AND_ELIM (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (and (forall ((BOUND_VARIABLE_1896 tptp.d) (BOUND_VARIABLE_1898 tptp.d) (BOUND_VARIABLE_1900 tptp.u) (BOUND_VARIABLE_1902 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1896) BOUND_VARIABLE_1898)) BOUND_VARIABLE_1900)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)))) (or (not (forall ((V3fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)) (@ (@ tptp.s BOUND_VARIABLE_1898) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1896) BOUND_VARIABLE_1898)) BOUND_VARIABLE_1900)) (@ (@ tptp.s BOUND_VARIABLE_1896) V3fv_2E0))))))))) (forall ((V2v_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)) (@ (@ tptp.s BOUND_VARIABLE_1898) V2v_2E0))))))))) (forall ((BOUND_VARIABLE_1939 tptp.d) (BOUND_VARIABLE_1941 tptp.d) (BOUND_VARIABLE_1943 tptp.u) (BOUND_VARIABLE_1945 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1939) BOUND_VARIABLE_1941)) BOUND_VARIABLE_1943)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)))) (or (not (forall ((V5fv_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)) (@ (@ tptp.s BOUND_VARIABLE_1941) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1939) BOUND_VARIABLE_1941)) BOUND_VARIABLE_1943)) (@ (@ tptp.s BOUND_VARIABLE_1939) V5fv_2E0)))))))) (forall ((V4v_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)) (@ (@ tptp.s BOUND_VARIABLE_1941) V4v_2E0)))))))) (forall ((BOUND_VARIABLE_1980 tptp.d) (BOUND_VARIABLE_1982 tptp.d) (V6i_2E0 tptp.u) (V7P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1980) BOUND_VARIABLE_1982)) V6i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1982) tptp.tyop_2Emin_2Ebool)) V7P_2E0)))) (forall ((V8fv_2E0 tptp.u)) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1982) tptp.tyop_2Emin_2Ebool)) V7P_2E0)) (@ (@ tptp.s BOUND_VARIABLE_1982) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_1980) BOUND_VARIABLE_1982)) V6i_2E0)) (@ (@ tptp.s BOUND_VARIABLE_1980) V8fv_2E0))))))))) (forall ((BOUND_VARIABLE_2015 tptp.d) (BOUND_VARIABLE_2017 tptp.d) (V9i_2E0 tptp.u) (V10P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2015) BOUND_VARIABLE_2017)) V9i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2017) tptp.tyop_2Emin_2Ebool)) V10P_2E0)))) (forall ((V11fv_2E0 tptp.u)) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2017) tptp.tyop_2Emin_2Ebool)) V10P_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2017) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2015) BOUND_VARIABLE_2017)) V9i_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2015) V11fv_2E0)))))))))) (forall ((BOUND_VARIABLE_2052 tptp.d) (BOUND_VARIABLE_2054 tptp.d) (V12i_2E0 tptp.u) (V13P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2052) BOUND_VARIABLE_2054)) V12i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2054) tptp.tyop_2Emin_2Ebool)) V13P_2E0)))) (forall ((V14v_2E0 tptp.u)) (or (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2054) tptp.tyop_2Emin_2Ebool)) V13P_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2054) V14v_2E0))))) (not (forall ((V15fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s BOUND_VARIABLE_2054))) (not (= (@ _let_1 V14v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2052) BOUND_VARIABLE_2054)) V12i_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2052) V15fv_2E0)))))))))))) (forall ((BOUND_VARIABLE_2095 tptp.d) (BOUND_VARIABLE_2097 tptp.d) (V16i_2E0 tptp.u) (V17P_2E0 tptp.u)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2095) BOUND_VARIABLE_2097)) V16i_2E0)) (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2097) tptp.tyop_2Emin_2Ebool)) V17P_2E0)))) (forall ((V18v_2E0 tptp.u)) (or (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2097) tptp.tyop_2Emin_2Ebool)) V17P_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2097) V18v_2E0)))) (not (forall ((V19fv_2E0 tptp.u)) (let ((_let_1 (@ tptp.s BOUND_VARIABLE_2097))) (not (= (@ _let_1 V18v_2E0) (@ _let_1 (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun BOUND_VARIABLE_2095) BOUND_VARIABLE_2097)) V16i_2E0)) (@ (@ tptp.s BOUND_VARIABLE_2095) V19fv_2E0))))))))))))) (and (forall ((BOUND_VARIABLE_1896 tptp.d) (BOUND_VARIABLE_1898 tptp.d) (BOUND_VARIABLE_1900 tptp.u) (BOUND_VARIABLE_1902 tptp.u)) (= (or (not (forall ((V3fv_2E0 tptp.u)) (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1898) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1896) BOUND_VARIABLE_1898)) BOUND_VARIABLE_1900)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1896) V3fv_2E0))))))))) (forall ((V2v_2E0 tptp.u)) (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1898) V2v_2E0))))))) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_32 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1896) BOUND_VARIABLE_1898)) BOUND_VARIABLE_1900)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1898) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1902)))))) (forall ((BOUND_VARIABLE_1939 tptp.d) (BOUND_VARIABLE_1941 tptp.d) (BOUND_VARIABLE_1943 tptp.u) (BOUND_VARIABLE_1945 tptp.u)) (= (or (not (forall ((V5fv_2E0 tptp.u)) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1941) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1939) BOUND_VARIABLE_1941)) BOUND_VARIABLE_1943)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1939) V5fv_2E0)))))))) (forall ((V4v_2E0 tptp.u)) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1941) V4v_2E0)))))) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_35 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1939) BOUND_VARIABLE_1941)) BOUND_VARIABLE_1943)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1941) tptp.tyop_2Emin_2Ebool)) BOUND_VARIABLE_1945)))))) (forall ((BOUND_VARIABLE_1980 tptp.d) (BOUND_VARIABLE_1982 tptp.d) (V6i_2E0 tptp.u) (V7P_2E0 tptp.u)) (= (forall ((V8fv_2E0 tptp.u)) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1982) tptp.tyop_2Emin_2Ebool)) V7P_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1982) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1980) BOUND_VARIABLE_1982)) V6i_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_1980) V8fv_2E0))))))) (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_34 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1980) BOUND_VARIABLE_1982)) V6i_2E0)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_1982) tptp.tyop_2Emin_2Ebool)) V7P_2E0)))))) _let_21 (forall ((BOUND_VARIABLE_2052 tptp.d) (BOUND_VARIABLE_2054 tptp.d) (V12i_2E0 tptp.u) (V13P_2E0 tptp.u)) (= (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_33 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2052) BOUND_VARIABLE_2054)) V12i_2E0)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2054) tptp.tyop_2Emin_2Ebool)) V13P_2E0)))) (forall ((V14v_2E0 tptp.u)) (or (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2054) tptp.tyop_2Emin_2Ebool)) V13P_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2054) V14v_2E0))))) (not (forall ((V15fv_2E0 tptp.u)) (let ((_let_1 (ho_6 k_5 BOUND_VARIABLE_2054))) (not (= (ho_7 _let_1 (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2052) BOUND_VARIABLE_2054)) V12i_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2052) V15fv_2E0))) (ho_7 _let_1 V14v_2E0)))))))))) (forall ((BOUND_VARIABLE_2095 tptp.d) (BOUND_VARIABLE_2097 tptp.d) (V16i_2E0 tptp.u) (V17P_2E0 tptp.u)) (= (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_36 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2095) BOUND_VARIABLE_2097)) V16i_2E0)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2097) tptp.tyop_2Emin_2Ebool)) V17P_2E0)))) (forall ((V18v_2E0 tptp.u)) (or (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2097) tptp.tyop_2Emin_2Ebool)) V17P_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2097) V18v_2E0)))) (not (forall ((V19fv_2E0 tptp.u)) (let ((_let_1 (ho_6 k_5 BOUND_VARIABLE_2097))) (not (= (ho_7 _let_1 (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2095) BOUND_VARIABLE_2097)) V16i_2E0)) (ho_7 (ho_6 k_5 BOUND_VARIABLE_2095) V19fv_2E0))) (ho_7 _let_1 V18v_2E0)))))))))))))))) :args (3)))) (let ((_let_23 (_let_21))) (let ((_let_24 ((ho_10 (ho_9 k_37 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2015) BOUND_VARIABLE_2017)) V9i_2E0)) (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 BOUND_VARIABLE_2017) tptp.tyop_2Emin_2Ebool)) V10P_2E0))))) (let ((_let_25 (ASSUME :args _let_23))) (let ((_let_26 (ho_19 k_18 (ho_7 _let_10 (ho_10 _let_17 _let_12))))) (let ((_let_27 (not _let_26))) (let ((_let_28 (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) V3x_2E0))) (let ((_let_2 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (ho_6 k_5 tptp.tyop_2Emin_2Ebool))) (or (not (ho_19 k_18 (ho_7 _let_3 (ho_10 (ho_9 k_8 (ho_7 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46)) _let_1)))) (ho_19 k_18 (ho_7 _let_3 (ho_10 (ho_9 k_8 (ho_7 _let_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45)) _let_1)))))))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (or _let_29 _let_27 _let_18))) (let ((_let_31 (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u) (V2Q_2E0 tptp.u)) (let ((_let_1 (ho_6 k_5 (ho_4 (ho_3 k_2 A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (ho_9 k_37 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 A_27b) A_27a)) V0i_2E0)))) (let ((_let_3 (ho_6 k_5 tptp.tyop_2Emin_2Ebool))) (or (not (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (ho_7 (ho_6 k_5 A_27a) V3x_2E0))) (let ((_let_2 (ho_6 k_5 (ho_4 (ho_3 k_2 A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (ho_6 k_5 tptp.tyop_2Emin_2Ebool))) (or (not (ho_19 k_18 (ho_7 _let_3 (ho_10 (ho_9 k_8 (ho_7 _let_2 V2Q_2E0)) _let_1)))) (ho_19 k_18 (ho_7 _let_3 (ho_10 (ho_9 k_8 (ho_7 _let_2 V1P_2E0)) _let_1))))))))) (not (ho_19 k_18 (ho_7 _let_3 (ho_10 _let_2 (ho_7 _let_1 V1P_2E0))))) (ho_19 k_18 (ho_7 _let_3 (ho_10 _let_2 (ho_7 _let_1 V2Q_2E0))))))))))) (let ((_let_32 (not _let_30))) (let ((_let_33 (not _let_31))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (PREPROCESS :args ((= (not (forall ((A_27a tptp.d) (A_27b tptp.d) (V0i_2E0 tptp.u) (V1P_2E0 tptp.u) (V2Q_2E0 tptp.u)) (let ((_let_1 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_2 (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a)) V0i_2E0)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (or (not (forall ((V3x_2E0 tptp.u)) (let ((_let_1 (@ (@ tptp.s A_27a) V3x_2E0))) (let ((_let_2 (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun A_27a) tptp.tyop_2Emin_2Ebool)))) (let ((_let_3 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (or (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V2Q_2E0)) _let_1)))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ (@ tptp.app_2E2 (@ _let_2 V1P_2E0)) _let_1))))))))) (not (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V1P_2E0))))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_3 (@ _let_2 (@ _let_1 V2Q_2E0)))))))))) _let_33))))))) (let ((_let_35 (or))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_34) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_31))) (REFL :args (_let_32)) :args _let_35)) _let_34 :args (_let_32 true _let_31)))) (let ((_let_37 (_let_20))) (let ((_let_38 (REFL :args (_let_30)))) (let ((_let_39 (_let_28))) (let ((_let_40 (forall ((V11fv_2E0 tptp.u)) (not (ho_19 k_18 (ho_7 (ho_6 k_5 tptp.tyop_2Emin_2Ebool) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) tptp.tyop_2Emin_2Ebool)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45)) (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42) (ho_10 (ho_9 k_8 (ho_7 (ho_6 k_5 (ho_4 (ho_3 k_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42)) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44)) (ho_7 (ho_6 k_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43) V11fv_2E0)))))))))) (let ((_let_41 (= _let_26 _let_40))) (let ((_let_42 (_let_40))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 (not _let_15)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_42) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_152 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_7 _let_3 V11fv_2E0)))) :args _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_41)) :args ((or _let_27 _let_40 (not _let_41)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 1)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_35)) :args ((or _let_26 _let_30))) _let_36 :args (_let_26 true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_45 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23))) _let_22 :args (_let_41 false _let_21)) :args (_let_40 false _let_26 false _let_41)) :args ((not _let_13) false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (_let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((ho_7 _let_6 V3x_2E0)))) :args _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_30 0)) (CONG _let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_35)) :args ((or _let_28 _let_30))) _let_36 :args (_let_28 true _let_30)) :args (_let_15 false _let_28)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37) (REWRITE :args ((=> _let_20 (not _let_14)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_16))) (REFL :args (_let_11)) :args _let_35)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_19)) :args ((or _let_18 _let_20 (not _let_19)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_30 2)) _let_36 :args ((not _let_18) true _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_46 QUANTIFIERS_INST_E_MATCHING _let_24)) :args _let_23))) _let_22 :args (_let_19 false _let_21)) :args (_let_20 true _let_18 false _let_19)) :args (_let_11 true _let_16)) :args (false true _let_13 false _let_15 false _let_11)) :args ((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))))) (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)))) (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))))) (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)))))))))))))))) (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_2F_5C V0) V1) (and V0 V1))) (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))) (forall ((V0 Bool)) (= (@ tptp.mono_2Ec_2Ebool_2E_7E V0) (not V0))) (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))) (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)))))) (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))))))) (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))))))) (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)))) (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)))) (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))))) (forall ((V0 Bool)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V0))) V0)) (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)) (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))) (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)))))))) (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)))))))))) (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)))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS_2E0)) _let_4))) _let_2))))))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0)) _let_4))) _let_2))))))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0)) _let_4))) _let_2))))))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL_2E0)) _let_4))) _let_2))))))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0)) _let_4))) _let_2))))))))))) (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_27b) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27a) A_27b))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) _let_4))) _let_2))))))))))) (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) tptp.tyop_2Emin_2Ebool))) (let ((_let_2 (@ (@ tptp.s _let_1) X1_2E0))) (let ((_let_3 (@ (@ tptp.tyop_2Emin_2Efun A_27b) A_27a))) (let ((_let_4 (@ (@ tptp.s _let_3) X0_2E0))) (let ((_let_5 (@ (@ tptp.tyop_2Emin_2Efun _let_1) tptp.tyop_2Emin_2Ebool))) (let ((_let_6 (@ tptp.s tptp.tyop_2Emin_2Ebool))) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 _let_4) _let_2))) (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ _let_6 (@ (@ tptp.app_2E2 (@ (@ tptp.s _let_5) (@ (@ tptp.app_2E2 (@ (@ tptp.s (@ (@ tptp.tyop_2Emin_2Efun _let_3) _let_5)) tptp.c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0)) _let_4))) _let_2))))))))))) (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))))))) (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))))))))) (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))) (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))) tptp.mono_2Ec_2Ebool_2ET (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)))) (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)) (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)))))) (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)))) (forall ((V0t1 Bool) (V1t2 Bool) (V2t3 Bool)) (= (=> V0t1 (=> V1t2 V2t3)) (=> (and V0t1 V1t2) V2t3))) (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)))) _let_2 (forall ((V0t Bool)) (= (not (not V0t)) V0t)) (forall ((V0A Bool)) (=> V0A (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF))) (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)))) (forall ((V0B Bool) (V1A Bool)) (= (=> (not (or (not V1A) V0B)) tptp.mono_2Ec_2Ebool_2EF) (=> V1A (=> (not V0B) tptp.mono_2Ec_2Ebool_2EF)))) (forall ((V0A Bool)) (=> (=> (not V0A) tptp.mono_2Ec_2Ebool_2EF) (=> (=> V0A tptp.mono_2Ec_2Ebool_2EF) tptp.mono_2Ec_2Ebool_2EF))) (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))))))) (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))))) (forall ((V0r Bool) (V1q Bool) (V2p Bool)) (= (= V2p (=> V1q V0r)) (and (or V2p V1q) (or V2p (not V0r)) (or (not V1q) V0r (not V2p))))) (forall ((V0q Bool) (V1p Bool)) (let ((_let_1 (not V0q))) (= (= V1p _let_1) (and (or V1p V0q) (or _let_1 (not V1p)))))) (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) V1p)) (forall ((V0q Bool) (V1p Bool)) (=> (not (=> V1p V0q)) (not V0q))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.53/0.72 )
% 0.53/0.72 % SZS output end Proof for ITP006^1
% 0.53/0.72 % cvc5---1.0.5 exiting
% 0.53/0.72 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------