TSTP Solution File: ITP009^4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ITP009^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n032.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 03:14:23 EDT 2023
% Result : Unknown 2.94s 3.52s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.85/2.86 % Problem : ITP009^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 2.85/2.88 % Command : do_cvc5 %s %d
% 2.92/3.08 % Computer : n032.cluster.edu
% 2.92/3.08 % Model : x86_64 x86_64
% 2.92/3.08 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.92/3.08 % Memory : 8042.1875MB
% 2.92/3.08 % OS : Linux 3.10.0-693.el7.x86_64
% 2.92/3.08 % CPULimit : 300
% 2.92/3.08 % WCLimit : 300
% 2.92/3.08 % DateTime : Sun Aug 27 16:50:18 EDT 2023
% 2.94/3.08 % CPUTime :
% 2.94/3.19 %----Proving TH0
% 2.94/3.19 %------------------------------------------------------------------------------
% 2.94/3.19 % File : ITP009^4 : TPTP v8.1.2. Bugfixed v7.5.0.
% 2.94/3.19 % Domain : Interactive Theorem Proving
% 2.94/3.19 % Problem : HOL4 syntactic export of thm_2Equotient_2EFUN__REL__EQ__REL.p, chainy mode
% 2.94/3.19 % Version : [BG+19] axioms.
% 2.94/3.19 % English :
% 2.94/3.19
% 2.94/3.19 % Refs : [BG+19] Brown et al. (2019), GRUNGE: A Grand Unified ATP Chall
% 2.94/3.19 % : [Gau20] Gauthier (2020), Email to Geoff Sutcliffe
% 2.94/3.19 % Source : [BG+19]
% 2.94/3.19 % Names : thm_2Equotient_2EFUN__REL__EQ__REL.p [Gau20]
% 2.94/3.19 % : HL404001^4.p [TPAP]
% 2.94/3.19
% 2.94/3.19 % Status : Theorem
% 2.94/3.19 % Rating : 1.00 v7.5.0
% 2.94/3.19 % Syntax : Number of formulae : 18718 (7038 unt;7948 typ; 0 def)
% 2.94/3.19 % Number of atoms : 27795 (14048 equ; 848 cnn)
% 2.94/3.19 % Maximal formula atoms : 912 ( 2 avg)
% 2.94/3.19 % Number of connectives : 571884 ( 848 ~; 503 |;5176 &;557589 @)
% 2.94/3.19 % (3621 <=>;4147 =>; 0 <=; 0 <~>)
% 2.94/3.19 % Maximal formula depth : 368 ( 7 avg)
% 2.94/3.19 % Number of types : 25 ( 24 usr)
% 2.94/3.19 % Number of type conns : 19322 (19322 >; 0 *; 0 +; 0 <<)
% 2.94/3.19 % Number of symbols : 2636 (2634 usr; 734 con; 0-7 aty)
% 2.94/3.19 % Number of variables : 48852 ( 0 ^;36117 !;12735 ?;48852 :)
% 2.94/3.19 % SPC : TH0_THM_EQU_NAR
% 2.94/3.19
% 2.94/3.19 % Comments :
% 2.94/3.19 % Bugfixes : v7.5.0 - Bugfixes in axioms and export.
% 2.94/3.19 %------------------------------------------------------------------------------
% 2.94/3.19 %------------------------------------------------------------------------------
% 2.94/3.19 thf(u,type,
% 2.94/3.19 u: $tType ).
% 2.94/3.19
% 2.94/3.19 thf(d,type,
% 2.94/3.19 d: $tType ).
% 2.94/3.19
% 2.94/3.19 thf(du,type,
% 2.94/3.19 du: $tType ).
% 2.94/3.19
% 2.94/3.19 thf(tyop_2Emin_2Ebool,type,
% 2.94/3.19 tyop_2Emin_2Ebool: d ).
% 2.94/3.19
% 2.94/3.19 thf(tyop_2Emin_2Efun,type,
% 2.94/3.19 tyop_2Emin_2Efun: d > d > d ).
% 2.94/3.19
% 2.94/3.19 thf(s,type,
% 2.94/3.19 s: d > u > du ).
% 2.94/3.19
% 2.94/3.19 thf(app_2E2,type,
% 2.94/3.19 app_2E2: du > du > u ).
% 2.94/3.19
% 2.94/3.19 thf(combin_i_2E0,type,
% 2.94/3.19 combin_i_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(combin_k_2E0,type,
% 2.94/3.19 combin_k_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(combin_s_2E0,type,
% 2.94/3.19 combin_s_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_21_2E0,type,
% 2.94/3.19 c_2Ebool_2E_21_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_21_2E1,type,
% 2.94/3.19 c_2Ebool_2E_21_2E1: du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_2F_5C_2E0,type,
% 2.94/3.19 c_2Ebool_2E_2F_5C_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_2F_5C_2E2,type,
% 2.94/3.19 c_2Ebool_2E_2F_5C_2E2: du > du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Emin_2E_3D_2E0,type,
% 2.94/3.19 c_2Emin_2E_3D_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Emin_2E_3D_2E2,type,
% 2.94/3.19 c_2Emin_2E_3D_2E2: du > du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Emin_2E_3D_3D_3E_2E0,type,
% 2.94/3.19 c_2Emin_2E_3D_3D_3E_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Emin_2E_3D_3D_3E_2E2,type,
% 2.94/3.19 c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_3F_2E0,type,
% 2.94/3.19 c_2Ebool_2E_3F_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_3F_2E1,type,
% 2.94/3.19 c_2Ebool_2E_3F_2E1: du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2EF_2E0,type,
% 2.94/3.19 c_2Ebool_2EF_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2ET_2E0,type,
% 2.94/3.19 c_2Ebool_2ET_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_5C_2F_2E0,type,
% 2.94/3.19 c_2Ebool_2E_5C_2F_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_5C_2F_2E2,type,
% 2.94/3.19 c_2Ebool_2E_5C_2F_2E2: du > du > u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_7E_2E0,type,
% 2.94/3.19 c_2Ebool_2E_7E_2E0: u ).
% 2.94/3.19
% 2.94/3.19 thf(c_2Ebool_2E_7E_2E1,type,
% 2.94/3.19 c_2Ebool_2E_7E_2E1: du > u ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,type,
% 2.94/3.19 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.94/3.19 mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Ebool_2E_2F_5C,type,
% 2.94/3.19 mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Emin_2E_3D_3D_3E,type,
% 2.94/3.19 mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Ebool_2EF,type,
% 2.94/3.19 mono_2Ec_2Ebool_2EF: $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Ebool_2ET,type,
% 2.94/3.19 mono_2Ec_2Ebool_2ET: $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Ebool_2E_5C_2F,type,
% 2.94/3.19 mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(mono_2Ec_2Ebool_2E_7E,type,
% 2.94/3.19 mono_2Ec_2Ebool_2E_7E: $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(i_mono_2Etyop_2Emin_2Ebool,type,
% 2.94/3.19 i_mono_2Etyop_2Emin_2Ebool: $o > u ).
% 2.94/3.19
% 2.94/3.19 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.94/3.19 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
% 2.94/3.19
% 2.94/3.19 thf(i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.94/3.19 i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
% 2.94/3.19
% 2.94/3.19 thf(j_mono_2Etyop_2Emin_2Ebool,type,
% 2.94/3.19 j_mono_2Etyop_2Emin_2Ebool: du > $o ).
% 2.94/3.19
% 2.94/3.19 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,type,
% 2.94/3.19 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,type,
% 2.94/3.19 j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Eho_2Eeq__ext,axiom,
% 2.94/3.19 ! [A_27a: d,A_27b: d,V0f_2E0: u,V1g_2E0: u] :
% 2.94/3.19 ( ! [V2x_2E0: u] :
% 2.94/3.19 ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.94/3.19 = ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) )
% 2.94/3.19 => ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
% 2.94/3.19 = ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Eho_2Ei__thm,axiom,
% 2.94/3.19 ! [A_27a: d,V0x_2E0: u] :
% 2.94/3.19 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
% 2.94/3.19 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Eho_2Ek__thm,axiom,
% 2.94/3.19 ! [A_27a: d,A_27b: d,V0x_2E0: u,V1y_2E0: u] :
% 2.94/3.19 ( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27a ) ) @ combin_k_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) ) @ ( s @ A_27b @ V1y_2E0 ) ) )
% 2.94/3.19 = ( s @ A_27a @ V0x_2E0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Eho_2Es__thm,axiom,
% 2.94/3.19 ! [A_27a: d,A_27b: d,A_27c: d,V0f_2E0: u,V1g_2E0: u,V2x_2E0: u] :
% 2.94/3.19 ( ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ ( tyop_2Emin_2Efun @ A_27a @ A_27c ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) @ ( s @ A_27a @ V2x_2E0 ) ) )
% 2.94/3.19 = ( s @ A_27c @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ A_27c ) ) @ V0f_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Elogic_2E_2F_5C,axiom,
% 2.94/3.19 ! [V0: $o,V1: $o] :
% 2.94/3.19 ( ( mono_2Ec_2Ebool_2E_2F_5C @ V0 @ V1 )
% 2.94/3.19 <=> ( V0
% 2.94/3.19 & V1 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Elogic_2E_5C_2F,axiom,
% 2.94/3.19 ! [V0: $o,V1: $o] :
% 2.94/3.19 ( ( mono_2Ec_2Ebool_2E_5C_2F @ V0 @ V1 )
% 2.94/3.19 <=> ( V0
% 2.94/3.19 | V1 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Elogic_2E_7E,axiom,
% 2.94/3.19 ! [V0: $o] :
% 2.94/3.19 ( ( mono_2Ec_2Ebool_2E_7E @ V0 )
% 2.94/3.19 <=> ( (~) @ V0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Elogic_2E_3D_3D_3E,axiom,
% 2.94/3.19 ! [V0: $o,V1: $o] :
% 2.94/3.19 ( ( mono_2Ec_2Emin_2E_3D_3D_3E @ V0 @ V1 )
% 2.94/3.19 <=> ( V0
% 2.94/3.19 => V1 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Elogic_2E_3D,axiom,
% 2.94/3.19 ! [A_27a: d,V0_2E0: u,V1_2E0: u] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
% 2.94/3.19 <=> ( ( s @ A_27a @ V0_2E0 )
% 2.94/3.19 = ( s @ A_27a @ V1_2E0 ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Equant_2E_21,axiom,
% 2.94/3.19 ! [A_27a: d,V0f_2E0: u] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.94/3.19 <=> ! [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(reserved_2Equant_2E_3F,axiom,
% 2.94/3.19 ! [A_27a: d,V0f_2E0: u] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
% 2.94/3.19 <=> ? [V1x_2E0: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(ij_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.94/3.19 ! [V0_2E0: u] :
% 2.94/3.19 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
% 2.94/3.19 = ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.94/3.19 ! [V0_2E0: u] :
% 2.94/3.19 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ) )
% 2.94/3.19 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ V0_2E0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.94/3.19 ! [V0_2E0: u] :
% 2.94/3.19 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ) )
% 2.94/3.19 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ V0_2E0 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(ji_2Emono_2Etyop_2Emin_2Ebool,axiom,
% 2.94/3.19 ! [V0: $o] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V0 ) ) )
% 2.94/3.19 = V0 ) ).
% 2.94/3.19
% 2.94/3.19 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.94/3.19 ! [V0: $o > $o] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) )
% 2.94/3.19 = V0 ) ).
% 2.94/3.19
% 2.94/3.19 thf(ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,axiom,
% 2.94/3.19 ! [V0: $o > $o > $o] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) )
% 2.94/3.19 = V0 ) ).
% 2.94/3.19
% 2.94/3.19 thf(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
% 2.94/3.19 ! [A_27a: d,X0_2E0: u] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.94/3.19 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
% 2.94/3.19 ! [A_27a: d,X0_2E0: u,X1_2E0: u] :
% 2.94/3.19 ( ( ( s @ A_27a @ X0_2E0 )
% 2.94/3.19 = ( s @ A_27a @ X1_2E0 ) )
% 2.94/3.19 <=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ A_27a @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
% 2.94/3.19 ! [A_27a: d,X0_2E0: u] :
% 2.94/3.19 ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) )
% 2.94/3.19 = ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.94/3.19 ! [V0: $o > $o,V1: $o] :
% 2.94/3.19 ( ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ ( V0 @ V1 ) ) )
% 2.94/3.19 = ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.94/3.19 ! [V0: $o > $o > $o,V1: $o] :
% 2.94/3.19 ( ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @ ( V0 @ V1 ) ) )
% 2.94/3.19 = ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) ) @ ( i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @ V0 ) ) @ ( s @ tyop_2Emin_2Ebool @ ( i_mono_2Etyop_2Emin_2Ebool @ V1 ) ) ) ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool,axiom,
% 2.94/3.19 ! [V0: $o > $o,V1: $o] :
% 2.94/3.19 ( ( V0 @ V1 )
% 2.94/3.19 = ( V0 @ V1 ) ) ).
% 2.94/3.19
% 2.94/3.19 thf(monoapp_2Emono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,axiom,
% 2.94/3.19 ! [V0: $o > $o > $o,V1: $o] :
% 2.94/3.19 ( ( V0 @ V1 )
% 2.94/3.19 = ( V0 @ V1 ) ) ).
% 2.94/3.19
% 2.94/3.19 %------------------------------------------------------------------------------
% 2.94/3.19 %------------------------------------------------------------------------------
% 2.94/3.19 ERROR: Duplicate annotated formula name "u"
% 2.94/3.19 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.EaeX3f2UVm/cvc5---1.0.5_4429.p...
% 2.94/3.22 (declare-sort $$unsorted 0)
% 2.94/3.22 (declare-sort tptp.u 0)
% 2.94/3.22 (declare-sort tptp.d 0)
% 2.94/3.22 (declare-sort tptp.du 0)
% 2.94/3.22 (declare-fun tptp.tyop_2Emin_2Ebool () tptp.d)
% 2.94/3.22 (declare-fun tptp.tyop_2Emin_2Efun (tptp.d tptp.d) tptp.d)
% 2.94/3.22 (declare-fun tptp.s (tptp.d tptp.u) tptp.du)
% 2.94/3.22 (declare-fun tptp.app_2E2 (tptp.du tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.combin_i_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.combin_k_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.combin_s_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_21_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_21_2E1 (tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_2F_5C_2E2 (tptp.du tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Emin_2E_3D_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Emin_2E_3D_2E2 (tptp.du tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Emin_2E_3D_3D_3E_2E2 (tptp.du tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_3F_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_3F_2E1 (tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2EF_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2ET_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_5C_2F_2E2 (tptp.du tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_7E_2E0 () tptp.u)
% 2.94/3.22 (declare-fun tptp.c_2Ebool_2E_7E_2E1 (tptp.du) tptp.u)
% 2.94/3.22 (declare-fun tptp.mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool ((-> Bool Bool) Bool) Bool)
% 2.94/3.22 (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)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Ebool_2E_2F_5C (Bool Bool) Bool)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Emin_2E_3D_3D_3E (Bool Bool) Bool)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Ebool_2EF () Bool)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Ebool_2ET () Bool)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Ebool_2E_5C_2F (Bool Bool) Bool)
% 2.94/3.22 (declare-fun tptp.mono_2Ec_2Ebool_2E_7E (Bool) Bool)
% 2.94/3.22 (declare-fun tptp.i_mono_2Etyop_2Emin_2Ebool (Bool) tptp.u)
% 2.94/3.22 (declare-fun tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ((-> Bool Bool)) tptp.u)
% 2.94/3.22 (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)
% 2.94/3.22 (declare-fun tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.du) Bool)
% 2.94/3.22 (declare-fun tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.du Bool) Bool)
% 2.94/3.22 (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)
% 2.94/3.22 (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))))))
% 2.94/3.22 (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)))))
% 2.94/3.22 (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))))))
% 2.94/3.22 (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)))))))))))))))))
% 2.94/3.22 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_2F_5C V0) V1) (and V0 V1))))
% 2.94/3.22 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Ebool_2E_5C_2F V0) V1) (or V0 V1))))
% 2.94/3.22 (assert (forall ((V0 Bool)) (= (@ tptp.mono_2Ec_2Ebool_2E_7E V0) (not V0))))
% 2.94/3.22 (assert (forall ((V0 Bool) (V1 Bool)) (= (@ (@ tptp.mono_2Ec_2Emin_2E_3D_3D_3E V0) V1) (=> V0 V1))))
% 2.94/3.22 (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)))))))
% 2.94/3.22 (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))))))))
% 2.94/3.22 (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))))))))
% 2.94/3.22 (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)))))
% 2.94/3.22 (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)))))
% 2.94/3.22 (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))))))
% 2.94/3.22 (assert (forall ((V0 Bool)) (= (@ tptp.j_mono_2Etyop_2Emin_2Ebool (@ (@ tptp.s tptp.tyop_2Emin_2Ebool) (@ tptp.i_mono_2Etyop_2Emin_2Ebool V0))) V0)))
% 2.94/3.22 (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)))
% 2.94/3.22 (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))))
% 2.94/3.22 (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)))))))))
% 2.94/3.22 (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)))))))))))
% 2.94/3.22 (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)))))))))
% 2.94/3.22 (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))))))))
% 2.94/3.22 (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))))))))))
% 2.94/3.22 (assert (forall ((V0 (-> Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 2.94/3.22 (assert (forall ((V0 (-> Bool Bool Bool)) (V1 Bool)) (let ((_let_1 (@ V0 V1))) (= _let_1 _let_1))))
% 2.94/3.22 (error "Parse Error: /export/starexec/sandbox2/tmp/tmp.EaeX3f2UVm/cvc5---1.0.5_4429.p:282.5: Unexpected token: 'ERROR'.
% 2.94/3.22
% 2.94/3.22 ERROR: Duplicate annotated formula name "u"
% 2.94/3.22 ^
% 2.94/3.22 ")
% 2.94/3.22 ------- get file name : TPTP file name is ITP009^4
% 2.94/3.22 ------- cvc5-thf : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4429.smt2...
% 2.94/3.22 --- Run --ho-elim --full-saturate-quant at 10...
% 2.94/3.25 --- Run --ho-elim --no-e-matching --full-saturate-quant at 10...
% 2.94/3.26 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 10...
% 2.94/3.28 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 5...
% 2.94/3.29 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 5...
% 2.94/3.31 --- Run --no-ho-matching --full-saturate-quant --enum-inst-interleave --ho-elim-store-ax at 10...
% 2.94/3.32 --- Run --no-ho-matching --full-saturate-quant --macros-quant-mode=all at 10...
% 2.94/3.34 --- Run --ho-elim --full-saturate-quant --enum-inst-interleave at 10...
% 2.94/3.36 --- Run --no-ho-matching --full-saturate-quant --ho-elim-store-ax at 10...
% 2.94/3.38 --- Run --ho-elim --no-ho-elim-store-ax --full-saturate-quant...
% 2.94/3.52 % cvc5---1.0.5 exiting
% 2.94/3.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------