%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:23:20 AM UTC 2026
% Result : Theorem 9.32s 1.87s
% Output : CNFRefutation 9.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 46
% Syntax : Number of formulae : 925 ( 625 unt; 0 typ; 0 def)
% Number of atoms : 6619 (2370 equ; 0 cnn)
% Maximal formula atoms : 15 ( 7 avg)
% Number of connectives : 29547 (2834 ~;2694 |; 146 &;23777 @)
% ( 52 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 51 ( 48 usr; 27 con; 0-4 aty)
% Number of variables : 3025 ( 0 ^;3023 !; 2 ?;3025 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_app_2E2,type,
app_2E2: $i > $i > $i ).
thf(tp_c_2Earithmetic_2E_2B_2E0,type,
c_2Earithmetic_2E_2B_2E0: $i ).
thf(tp_c_2Earithmetic_2E_2B_2E2,type,
c_2Earithmetic_2E_2B_2E2: $i > $i > $i ).
thf(tp_c_2Earithmetic_2E_2D_2E0,type,
c_2Earithmetic_2E_2D_2E0: $i ).
thf(tp_c_2Earithmetic_2E_2D_2E2,type,
c_2Earithmetic_2E_2D_2E2: $i > $i > $i ).
thf(tp_c_2Earithmetic_2E_3C_3D_2E0,type,
c_2Earithmetic_2E_3C_3D_2E0: $i ).
thf(tp_c_2Earithmetic_2E_3C_3D_2E2,type,
c_2Earithmetic_2E_3C_3D_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ECOND_2E0,type,
c_2Ebool_2ECOND_2E0: $i ).
thf(tp_c_2Ebool_2ECOND_2E3,type,
c_2Ebool_2ECOND_2E3: $i > $i > $i > $i ).
thf(tp_c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: $i ).
thf(tp_c_2Ebool_2ET_2E0,type,
c_2Ebool_2ET_2E0: $i ).
thf(tp_c_2Ebool_2E_21_2E0,type,
c_2Ebool_2E_21_2E0: $i ).
thf(tp_c_2Ebool_2E_21_2E1,type,
c_2Ebool_2E_21_2E1: $i > $i ).
thf(tp_c_2Ebool_2E_2F_5C_2E0,type,
c_2Ebool_2E_2F_5C_2E0: $i ).
thf(tp_c_2Ebool_2E_2F_5C_2E2,type,
c_2Ebool_2E_2F_5C_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2E_3F_2E0,type,
c_2Ebool_2E_3F_2E0: $i ).
thf(tp_c_2Ebool_2E_3F_2E1,type,
c_2Ebool_2E_3F_2E1: $i > $i ).
thf(tp_c_2Ebool_2E_5C_2F_2E0,type,
c_2Ebool_2E_5C_2F_2E0: $i ).
thf(tp_c_2Ebool_2E_5C_2F_2E2,type,
c_2Ebool_2E_5C_2F_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2E_7E_2E0,type,
c_2Ebool_2E_7E_2E0: $i ).
thf(tp_c_2Ebool_2E_7E_2E1,type,
c_2Ebool_2E_7E_2E1: $i > $i ).
thf(tp_c_2Emin_2E_3D_2E0,type,
c_2Emin_2E_3D_2E0: $i ).
thf(tp_c_2Emin_2E_3D_2E2,type,
c_2Emin_2E_3D_2E2: $i > $i > $i ).
thf(tp_c_2Emin_2E_3D_3D_3E_2E0,type,
c_2Emin_2E_3D_3D_3E_2E0: $i ).
thf(tp_c_2Emin_2E_3D_3D_3E_2E2,type,
c_2Emin_2E_3D_3D_3E_2E2: $i > $i > $i ).
thf(tp_c_2Ewords_2En2w_2E0,type,
c_2Ewords_2En2w_2E0: $i ).
thf(tp_c_2Ewords_2En2w_2E1,type,
c_2Ewords_2En2w_2E1: $i > $i ).
thf(tp_c_2Ewords_2Eword__2comp_2E0,type,
c_2Ewords_2Eword__2comp_2E0: $i ).
thf(tp_c_2Ewords_2Eword__2comp_2E1,type,
c_2Ewords_2Eword__2comp_2E1: $i > $i ).
thf(tp_c_2Ewords_2Eword__add_2E0,type,
c_2Ewords_2Eword__add_2E0: $i ).
thf(tp_c_2Ewords_2Eword__add_2E2,type,
c_2Ewords_2Eword__add_2E2: $i > $i > $i ).
thf(tp_c_2Ewords_2Eword__sub_2E0,type,
c_2Ewords_2Eword__sub_2E0: $i ).
thf(tp_c_2Ewords_2Eword__sub_2E2,type,
c_2Ewords_2Eword__sub_2E2: $i > $i > $i ).
thf(tp_combin_i_2E0,type,
combin_i_2E0: $i ).
thf(tp_combin_k_2E0,type,
combin_k_2E0: $i ).
thf(tp_combin_s_2E0,type,
combin_s_2E0: $i ).
thf(tp_p,type,
p: $i > $o ).
thf(tp_s,type,
s: $i > $i > $i ).
thf(tp_sK1_A_27a,type,
sK1_A_27a: $i ).
thf(tp_sK2_SY119,type,
sK2_SY119: $i ).
thf(tp_sK3_SY121,type,
sK3_SY121: $i ).
thf(tp_sK4_V1x_2E0,type,
sK4_V1x_2E0: $i > $i > $i ).
thf(tp_sK5_V1x_2E0,type,
sK5_V1x_2E0: $i > $i > $i ).
thf(tp_sK6_V2x_2E0,type,
sK6_V2x_2E0: $i > $i > $i > $i > $i ).
thf(tp_tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: $i > $i > $i ).
thf(tp_tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $i ).
thf(tp_tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: $i > $i > $i ).
thf(tp_tyop_2Enum_2Enum,type,
tyop_2Enum_2Enum: $i ).
thf(1,axiom,
! [A_27a: $i,A_27b: $i] :
( ! [V0m_2E0: $i,V1n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) ) )
& ! [V2m_2E0: $i,V3n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__LITERAL__ADD) ).
thf(2,axiom,
! [A_27a: $i,V0v_2E0: $i,V1w_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2Eword__sub__def) ).
thf(3,axiom,
! [A_27a: $i] :
( ! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) )
& ! [V2t1_2E0: $i,V3t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2Ebool__case__thm) ).
thf(4,axiom,
! [A_27a: $i,V0P_2E0: $i,V1Q_2E0: $i,V2x_2E0: $i,V3x_27_2E0: $i,V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
=> ( ( s @ A_27a @ V2x_2E0 )
= ( s @ A_27a @ V3x_27_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
=> ( ( s @ A_27a @ V4y_2E0 )
= ( s @ A_27a @ V5y_27_2E0 ) ) ) )
=> ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ECOND__CONG) ).
thf(5,axiom,
! [V0x_2E0: $i,V1x_27_2E0: $i,V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__CONG) ).
thf(6,axiom,
! [V0t1_2E0: $i,V1t2_2E0: $i,V2t3_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) )
<=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EAND__IMP__INTRO) ).
thf(7,axiom,
! [V0t_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__CLAUSES) ).
thf(8,axiom,
! [A_27a: $i,V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V1y_2E0 ) )
<=> ( ( s @ A_27a @ V1y_2E0 )
= ( s @ A_27a @ V0x_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EEQ__SYM__EQ) ).
thf(9,axiom,
! [A_27a: $i,V0x_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V0x_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EREFL__CLAUSE) ).
thf(10,axiom,
! [V0t_2E0: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__CLAUSES) ).
thf(11,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(12,axiom,
! [A_27b: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27b_29) ).
thf(13,axiom,
! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a) ).
thf(14,axiom,
! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__sub_2E2_2Emono_2EA_27a) ).
thf(15,axiom,
! [A_27b: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27b) ).
thf(16,axiom,
! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27b) ).
thf(17,axiom,
! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27b) ).
thf(18,axiom,
! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ewords_2Eword__add_2E2_2Emono_2EA_27a) ).
thf(19,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ c_2Earithmetic_2E_3C_3D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_3C_3D_2E2) ).
thf(20,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Eword__2comp_2E1_2Emono_2EA_27a) ).
thf(21,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2B_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2B_2E2) ).
thf(22,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2En2w_2E1_2Emono_2EA_27a) ).
thf(23,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2E_2D_2E2) ).
thf(24,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).
thf(25,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) ).
thf(26,axiom,
! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) )
<=> ( p @ ( 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 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a) ).
thf(27,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).
thf(28,axiom,
! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).
thf(29,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) ).
thf(30,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) ).
thf(31,axiom,
! [A_27a: $i,V0f_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_3F) ).
thf(32,axiom,
! [A_27a: $i,V0f_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_21) ).
thf(33,axiom,
! [A_27a: $i,V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D) ).
thf(34,axiom,
! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D_3D_3E) ).
thf(35,axiom,
! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_7E) ).
thf(36,axiom,
! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_5C_2F) ).
thf(37,axiom,
! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_2F_5C) ).
thf(38,axiom,
! [A_27a: $i,A_27b: $i,A_27c: $i,V0f_2E0: $i,V1g_2E0: $i,V2x_2E0: $i] :
( ( 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 ) ) )
= ( 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 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Es__thm) ).
thf(39,axiom,
! [A_27a: $i,A_27b: $i,V0x_2E0: $i,V1y_2E0: $i] :
( ( 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 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ek__thm) ).
thf(40,axiom,
! [A_27a: $i,V0x_2E0: $i] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ei__thm) ).
thf(41,axiom,
! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
thf(42,axiom,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
thf(43,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(44,axiom,
! [V0_2E0: $i,V1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Eboolext) ).
thf(45,axiom,
! [A_27a: $i,A_27b: $i,V0f_2E0: $i,V1g_2E0: $i] :
( ! [V2x_2E0: $i] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 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 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Eeq__ext) ).
thf(46,conjecture,
! [A_27a: $i,V0a_2E0: $i,V1b_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__sub) ).
thf(47,negated_conjecture,
( ( ! [A_27a: $i,V0a_2E0: $i,V1b_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[46]) ).
thf(48,plain,
( ( ! [A_27a: $i,V0a_2E0: $i,V1b_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0a_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1b_2E0 ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[47]) ).
thf(49,plain,
( ( ! [A_27a: $i,A_27b: $i] :
( ! [V0m_2E0: $i,V1n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) ) )
& ! [V2m_2E0: $i,V3n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(50,plain,
( ( ! [A_27a: $i,V0v_2E0: $i,V1w_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(51,plain,
( ( ! [A_27a: $i] :
( ! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) )
& ! [V2t1_2E0: $i,V3t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(52,plain,
( ( ! [A_27a: $i,V0P_2E0: $i,V1Q_2E0: $i,V2x_2E0: $i,V3x_27_2E0: $i,V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
=> ( ( s @ A_27a @ V2x_2E0 )
= ( s @ A_27a @ V3x_27_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
=> ( ( s @ A_27a @ V4y_2E0 )
= ( s @ A_27a @ V5y_27_2E0 ) ) ) )
=> ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(53,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i,V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(54,plain,
( ( ! [V0t1_2E0: $i,V1t2_2E0: $i,V2t3_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) )
<=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(55,plain,
( ( ! [V0t_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(56,plain,
( ( ! [A_27a: $i,V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V1y_2E0 ) )
<=> ( ( s @ A_27a @ V1y_2E0 )
= ( s @ A_27a @ V0x_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(57,plain,
( ( ! [A_27a: $i,V0x_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V0x_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(58,plain,
( ( ! [V0t_2E0: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(59,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(60,plain,
( ( ! [A_27b: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(61,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(62,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(63,plain,
( ( ! [A_27b: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(64,plain,
( ( ! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(65,plain,
( ( ! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(66,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(67,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ c_2Earithmetic_2E_3C_3D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(68,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(69,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2B_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(70,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(71,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(72,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(73,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(74,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) )
<=> ( p @ ( 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 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(75,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(76,plain,
( ( ! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(77,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(78,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(79,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ? [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(80,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
<=> ! [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(81,plain,
( ( ! [A_27a: $i,V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(82,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(83,plain,
( ( ! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
<=> ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(84,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(85,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(86,plain,
( ( ! [A_27a: $i,A_27b: $i,A_27c: $i,V0f_2E0: $i,V1g_2E0: $i,V2x_2E0: $i] :
( ( 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 ) ) )
= ( 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 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(87,plain,
( ( ! [A_27a: $i,A_27b: $i,V0x_2E0: $i,V1y_2E0: $i] :
( ( 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 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(88,plain,
( ( ! [A_27a: $i,V0x_2E0: $i] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(89,plain,
( ( ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(90,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(91,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(92,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
<=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(93,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f_2E0: $i,V1g_2E0: $i] :
( ! [V2x_2E0: $i] :
( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ 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 ) ) ) )
=> ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(94,plain,
( ( ! [SY119: $i,SY120: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY120 ) @ ( s @ tyop_2Enum_2Enum @ SY119 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY119 ) @ ( s @ tyop_2Enum_2Enum @ SY120 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY120 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[48]) ).
thf(95,plain,
( ( ! [SY121: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY121 ) @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ SY121 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY121 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[94]) ).
thf(96,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) )
=> ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[95]) ).
thf(97,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[96]) ).
thf(98,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[96]) ).
thf(99,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[98]) ).
thf(100,plain,
( ( ! [A_27a: $i,V0m_2E0: $i,V1n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) ) )
& ! [A_27b: $i,V2m_2E0: $i,V3n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[49]) ).
thf(101,plain,
( ( ! [A_27a: $i,V0t1_2E0: $i,V1t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) )
& ! [A_27a: $i,V2t1_2E0: $i,V3t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[51]) ).
thf(102,plain,
( ( ! [A_27a: $i,V0P_2E0: $i,V1Q_2E0: $i,V2x_2E0: $i,V3x_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V2x_2E0 )
!= ( s @ A_27a @ V3x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V4y_2E0 )
!= ( s @ A_27a @ V5y_27_2E0 ) )
| ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V2x_2E0 )
!= ( s @ A_27a @ V3x_27_2E0 ) )
| ( ( s @ A_27a @ V4y_2E0 )
!= ( s @ A_27a @ V5y_27_2E0 ) )
| ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[52]) ).
thf(103,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V2y_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ! [V2y_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ! [V2y_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ! [V2y_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[53]) ).
thf(104,plain,
( ( ! [V0t1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ! [V1t2_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i,V2t3_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ! [V1t2_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i,V2t3_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[54]) ).
thf(105,plain,
( ( ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[55]) ).
thf(106,plain,
( ( ! [A_27a: $i] :
( ! [V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
!= ( s @ A_27a @ V1y_2E0 ) )
| ( ( s @ A_27a @ V1y_2E0 )
= ( s @ A_27a @ V0x_2E0 ) ) )
& ! [V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V1y_2E0 )
!= ( s @ A_27a @ V0x_2E0 ) )
| ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V1y_2E0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[56]) ).
thf(107,plain,
( ( ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $true ),
inference(extcnf_combined,[status(esa)],[57]) ).
thf(108,plain,
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[58]) ).
thf(109,plain,
( ( ! [A_27a: $i] :
( ! [X0_2E0: $i,X1_2E0: $i] :
( ( ( s @ A_27a @ X0_2E0 )
!= ( s @ A_27a @ X1_2E0 ) )
| ( p @ ( 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 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( 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 ) ) ) )
| ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[74]) ).
thf(110,plain,
( ( ! [X0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ! [X1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[75]) ).
thf(111,plain,
( ( ! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) )
& ! [X0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[76]) ).
thf(112,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
& ! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ! [X1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[77]) ).
thf(113,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i] :
( ! [X1_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[78]) ).
thf(114,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ! [V1x_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) ) )
& ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK4_V1x_2E0 @ V0f_2E0 @ A_27a ) ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[79]) ).
thf(115,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK5_V1x_2E0 @ V0f_2E0 @ A_27a ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) ) )
& ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
| ! [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[80]) ).
thf(116,plain,
( ( ! [A_27a: $i] :
( ! [V0_2E0: $i,V1_2E0: $i] :
( ( ( s @ A_27a @ V0_2E0 )
!= ( s @ A_27a @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
| ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[81]) ).
thf(117,plain,
( ( ! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ! [V1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[82]) ).
thf(118,plain,
( ( ! [V0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) )
& ! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[83]) ).
thf(119,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
& ! [V0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ! [V1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[84]) ).
thf(120,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i] :
( ! [V1_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[85]) ).
thf(121,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[92]) ).
thf(122,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f_2E0: $i,V1g_2E0: $i] :
( ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK6_V2x_2E0 @ V1g_2E0 @ V0f_2E0 @ A_27b @ A_27a ) ) ) )
!= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ ( sK6_V2x_2E0 @ V1g_2E0 @ V0f_2E0 @ A_27b @ A_27a ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[93]) ).
thf(123,plain,
( ( ! [A_27a: $i,A_27b: $i,V0f_2E0: $i,V1g_2E0: $i] :
( ( ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK6_V2x_2E0 @ V1g_2E0 @ V0f_2E0 @ A_27b @ A_27a ) ) ) )
!= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) @ ( s @ A_27a @ ( sK6_V2x_2E0 @ V1g_2E0 @ V0f_2E0 @ A_27b @ A_27a ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 )
= ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V1g_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(124,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(125,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(126,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(127,plain,
( ( ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[89]) ).
thf(128,plain,
( ( ! [A_27a: $i,V0x_2E0: $i] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[88]) ).
thf(129,plain,
( ( ! [A_27a: $i,A_27b: $i,V0x_2E0: $i,V1y_2E0: $i] :
( ( 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 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[87]) ).
thf(130,plain,
( ( ! [A_27a: $i,A_27b: $i,A_27c: $i,V0f_2E0: $i,V1g_2E0: $i,V2x_2E0: $i] :
( ( 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 ) ) )
= ( 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 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[86]) ).
thf(131,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i] :
( ! [V1_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(132,plain,
( ( ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) )
& ! [V0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ! [V1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(133,plain,
( ( ! [V0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) )
& ! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(134,plain,
( ( ! [V0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ! [V1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(135,plain,
( ( ! [A_27a: $i] :
( ! [V0_2E0: $i,V1_2E0: $i] :
( ( ( s @ A_27a @ V0_2E0 )
!= ( s @ A_27a @ V1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) ) )
& ! [V0_2E0: $i,V1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ A_27a @ V0_2E0 ) @ ( s @ A_27a @ V1_2E0 ) ) ) )
| ( ( s @ A_27a @ V0_2E0 )
= ( s @ A_27a @ V1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(136,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK5_V1x_2E0 @ V0f_2E0 @ A_27a ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) ) )
& ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
| ! [V1x_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(137,plain,
( ( ! [A_27a: $i,V0f_2E0: $i] :
( ! [V1x_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) ) )
& ! [A_27a: $i,V0f_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ V0f_2E0 ) @ ( s @ A_27a @ ( sK4_V1x_2E0 @ V0f_2E0 @ A_27a ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(138,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i] :
( ! [X1_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(139,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) )
& ! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ! [X1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(140,plain,
( ( ! [X0_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) )
& ! [X0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(141,plain,
( ( ! [X0_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ! [X1_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ X1_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(142,plain,
( ( ! [A_27a: $i] :
( ! [X0_2E0: $i,X1_2E0: $i] :
( ( ( s @ A_27a @ X0_2E0 )
!= ( s @ A_27a @ X1_2E0 ) )
| ( p @ ( 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 ) ) ) ) )
& ! [X0_2E0: $i,X1_2E0: $i] :
( ~ ( p @ ( 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 ) ) ) )
| ( ( s @ A_27a @ X0_2E0 )
= ( s @ A_27a @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(143,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(144,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ X0_2E0 ) ) )
= ( 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 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(145,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(146,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(147,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2B_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[69]) ).
thf(148,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(149,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ c_2Earithmetic_2E_3C_3D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(150,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(151,plain,
( ( ! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(152,plain,
( ( ! [A_27b: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[64]) ).
thf(153,plain,
( ( ! [A_27b: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[63]) ).
thf(154,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[62]) ).
thf(155,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ A_27a @ X1_2E0 ) @ ( s @ A_27a @ X2_2E0 ) ) )
= ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ A_27a @ X1_2E0 ) ) ) @ ( s @ A_27a @ X2_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[61]) ).
thf(156,plain,
( ( ! [A_27b: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ X2_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[60]) ).
thf(157,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(158,plain,
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [V0t_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(159,plain,
( ( ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(160,plain,
( ( ! [A_27a: $i] :
( ! [V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V0x_2E0 )
!= ( s @ A_27a @ V1y_2E0 ) )
| ( ( s @ A_27a @ V1y_2E0 )
= ( s @ A_27a @ V0x_2E0 ) ) )
& ! [V0x_2E0: $i,V1y_2E0: $i] :
( ( ( s @ A_27a @ V1y_2E0 )
!= ( s @ A_27a @ V0x_2E0 ) )
| ( ( s @ A_27a @ V0x_2E0 )
= ( s @ A_27a @ V1y_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(161,plain,
( ( ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
& ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V0t_2E0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(162,plain,
( ( ! [V0t1_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ! [V1t2_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i,V2t3_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ! [V1t2_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ! [V2t3_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) )
& ! [V1t2_2E0: $i,V2t3_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2t3_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(163,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V2y_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ! [V2y_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ! [V2y_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ! [V2y_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ! [V3y_27_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) )
& ! [V2y_2E0: $i,V3y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ V2y_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V3y_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V2y_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(164,plain,
( ( ! [A_27a: $i,V0P_2E0: $i,V1Q_2E0: $i,V2x_2E0: $i,V3x_27_2E0: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V2x_2E0 )
!= ( s @ A_27a @ V3x_27_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V4y_2E0 )
!= ( s @ A_27a @ V5y_27_2E0 ) )
| ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) )
& ! [V4y_2E0: $i,V5y_27_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ V0P_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) )
| ( ( s @ A_27a @ V2x_2E0 )
!= ( s @ A_27a @ V3x_27_2E0 ) )
| ( ( s @ A_27a @ V4y_2E0 )
!= ( s @ A_27a @ V5y_27_2E0 ) )
| ( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V0P_2E0 ) @ ( s @ A_27a @ V2x_2E0 ) @ ( s @ A_27a @ V4y_2E0 ) ) )
= ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ V1Q_2E0 ) @ ( s @ A_27a @ V3x_27_2E0 ) @ ( s @ A_27a @ V5y_27_2E0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(165,plain,
( ( ! [A_27a: $i,V0t1_2E0: $i,V1t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ A_27a @ V0t1_2E0 ) @ ( s @ A_27a @ V1t2_2E0 ) ) )
= ( s @ A_27a @ V0t1_2E0 ) )
& ! [A_27a: $i,V2t1_2E0: $i,V3t2_2E0: $i] :
( ( s @ A_27a @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ A_27a @ V2t1_2E0 ) @ ( s @ A_27a @ V3t2_2E0 ) ) )
= ( s @ A_27a @ V3t2_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(166,plain,
( ( ! [A_27a: $i,V0v_2E0: $i,V1w_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V0v_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ V1w_2E0 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(167,plain,
( ( ! [A_27a: $i,V0m_2E0: $i,V1n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) ) ) ) ) )
& ! [A_27b: $i,V2m_2E0: $i,V3n_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27b ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ V3n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V2m_2E0 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(168,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) )
= $true ),
inference(copy,[status(thm)],[97]) ).
thf(169,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(170,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i,SX3: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX2 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX3 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX2 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX3 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX2 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX2 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(171,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(172,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(173,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(174,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(175,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(176,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(177,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(178,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX1 )
!= ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ! [SX5: $i,SX6: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX1 ) @ ( s @ SX0 @ SX3 ) @ ( s @ SX0 @ SX5 ) ) )
= ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX2 ) @ ( s @ SX0 @ SX4 ) @ ( s @ SX0 @ SX6 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX1 )
!= ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( ( s @ SX0 @ SX3 )
!= ( s @ SX0 @ SX4 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ! [SX5: $i,SX6: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX1 ) @ ( s @ SX0 @ SX3 ) @ ( s @ SX0 @ SX5 ) ) )
= ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX2 ) @ ( s @ SX0 @ SX4 ) @ ( s @ SX0 @ SX6 ) ) ) ) ) )
| ~ ~ ( ~ ! [SX5: $i,SX6: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX1 )
!= ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( ( s @ SX0 @ SX5 )
!= ( s @ SX0 @ SX6 ) )
| ( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX1 ) @ ( s @ SX0 @ SX3 ) @ ( s @ SX0 @ SX5 ) ) )
= ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX2 ) @ ( s @ SX0 @ SX4 ) @ ( s @ SX0 @ SX6 ) ) ) ) )
| ~ ! [SX5: $i,SX6: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX1 )
!= ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( ( s @ SX0 @ SX3 )
!= ( s @ SX0 @ SX4 ) )
| ( ( s @ SX0 @ SX5 )
!= ( s @ SX0 @ SX6 ) )
| ( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX1 ) @ ( s @ SX0 @ SX3 ) @ ( s @ SX0 @ SX5 ) ) )
= ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SX2 ) @ ( s @ SX0 @ SX4 ) @ ( s @ SX0 @ SX6 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(179,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(180,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK5_V1x_2E0 @ SX1 @ SX0 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(181,plain,
( ( ! [SX0: $i] :
~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(182,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK4_V1x_2E0 @ SX1 @ SX0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(183,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX2 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SX0 @ SX1 ) ) ) @ ( s @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SX0 @ SX1 ) ) ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( ( s @ SX0 @ SX1 )
= ( s @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(184,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(185,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX2 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( ( s @ SX0 @ SX1 )
= ( s @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(186,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(187,plain,
( ( ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(188,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(189,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(190,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX2 ) )
| ( ( s @ SX0 @ SX2 )
= ( s @ SX0 @ SX1 ) ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( ( s @ SX0 @ SX2 )
!= ( s @ SX0 @ SX1 ) )
| ( ( s @ SX0 @ SX1 )
= ( s @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(191,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(192,plain,
! [SV1: $i] :
( ( ! [SY122: $i,SY123: $i,SY124: $i] :
( ( ( s @ SY122 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SY122 ) @ SY123 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY124 @ SY123 @ SY122 @ SV1 ) ) ) )
!= ( s @ SY122 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SY122 ) @ SY124 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY124 @ SY123 @ SY122 @ SV1 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SY122 ) @ SY123 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SY122 ) @ SY124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(193,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(194,plain,
! [SV2: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(195,plain,
! [SV3: $i] :
( ( ! [SY125: $i] :
( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ SV3 ) @ combin_i_2E0 ) @ ( s @ SV3 @ SY125 ) ) )
= ( s @ SV3 @ SY125 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(196,plain,
! [SV4: $i] :
( ( ! [SY126: $i,SY127: $i,SY128: $i] :
( ( s @ SV4 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SY126 @ SV4 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SY126 @ SV4 ) ) @ combin_k_2E0 ) @ ( s @ SV4 @ SY127 ) ) ) @ ( s @ SY126 @ SY128 ) ) )
= ( s @ SV4 @ SY127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(197,plain,
! [SV5: $i] :
( ( ! [SY129: $i,SY130: $i,SY131: $i,SY132: $i,SY133: $i] :
( ( s @ SY130 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SY130 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SY129 ) @ ( tyop_2Emin_2Efun @ SV5 @ SY130 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SY129 @ SY130 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SY129 ) @ ( tyop_2Emin_2Efun @ SV5 @ SY130 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SY129 @ SY130 ) ) @ SY131 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SY129 ) @ SY132 ) ) ) @ ( s @ SV5 @ SY133 ) ) )
= ( s @ SY130 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SY129 @ SY130 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SY129 @ SY130 ) ) @ SY131 ) @ ( s @ SV5 @ SY133 ) ) ) @ ( s @ SY129 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SY129 ) @ SY132 ) @ ( s @ SV5 @ SY133 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(198,plain,
! [SV6: $i] :
( ( ! [SY134: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SY134 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SY134 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(199,plain,
! [SV7: $i] :
( ( ! [SY135: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ SY135 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ SY135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(200,plain,
! [SV8: $i] :
( ( ! [SY136: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV8 ) @ ( s @ tyop_2Enum_2Enum @ SY136 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV8 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SY136 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(201,plain,
! [SV9: $i] :
( ( ! [SY137: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY137 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SY137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(202,plain,
! [SV10: $i] :
( ( ! [SY138: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SV10 ) @ ( s @ tyop_2Enum_2Enum @ SY138 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2B_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV10 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SY138 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(203,plain,
! [SV11: $i] :
( ( ! [SY139: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ SY139 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ SY139 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(204,plain,
! [SV12: $i] :
( ( ! [SY140: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV12 ) @ ( s @ tyop_2Enum_2Enum @ SY140 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ c_2Earithmetic_2E_3C_3D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV12 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SY140 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(205,plain,
! [SV13: $i] :
( ( ! [SY141: $i,SY142: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY141 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY142 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY141 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(206,plain,
! [SV14: $i] :
( ( ! [SY143: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY143 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SY143 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(207,plain,
! [SV15: $i] :
( ( ! [SY144: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ SY144 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ SY144 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(208,plain,
! [SV16: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY145 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY146 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY145 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY146 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(209,plain,
! [SV17: $i] :
( ( ! [SY147: $i,SY148: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY147 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY148 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY147 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY148 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(210,plain,
! [SV18: $i] :
( ( ! [SY149: $i,SY150: $i,SY151: $i] :
( ( s @ SV18 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY149 ) @ ( s @ SV18 @ SY150 ) @ ( s @ SV18 @ SY151 ) ) )
= ( s @ SV18 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SY149 ) ) ) @ ( s @ SV18 @ SY150 ) ) ) @ ( s @ SV18 @ SY151 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(211,plain,
! [SV19: $i] :
( ( ! [SY152: $i,SY153: $i,SY154: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY152 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY153 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY154 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SY152 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY153 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY154 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(212,plain,
! [SV20: $i] :
( ( ! [SY155: $i,SY156: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY155 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY156 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY155 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY156 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(213,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK2_SY119 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ sK3_SY121 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(214,plain,
! [SV21: $i] :
( ( ! [SY157: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY161: $i,SY162: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY161 )
!= ( s @ tyop_2Emin_2Ebool @ SY162 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY162 ) ) )
| ~ ! [SY163: $i,SY164: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY163 )
!= ( s @ tyop_2Emin_2Ebool @ SY164 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY163 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY164 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY168: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY168 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY168 ) ) )
| ~ ! [SY170: $i,SY171: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SY157 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY170 )
!= ( s @ tyop_2Emin_2Ebool @ SY171 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY171 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY170 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(215,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(216,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(217,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
| ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(218,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX1 ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(219,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(220,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(221,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[177]) ).
thf(222,plain,
! [SV22: $i] :
( ( ! [SY172: $i,SY173: $i,SY174: $i,SY175: $i] :
~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SY172 )
!= ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ! [SY176: $i,SY177: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY172 ) @ ( s @ SV22 @ SY174 ) @ ( s @ SV22 @ SY176 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY173 ) @ ( s @ SV22 @ SY175 ) @ ( s @ SV22 @ SY177 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SY172 )
!= ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ( ( s @ SV22 @ SY174 )
!= ( s @ SV22 @ SY175 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ! [SY178: $i,SY179: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY172 ) @ ( s @ SV22 @ SY174 ) @ ( s @ SV22 @ SY178 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY173 ) @ ( s @ SV22 @ SY175 ) @ ( s @ SV22 @ SY179 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY180: $i,SY181: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SY172 )
!= ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ( ( s @ SV22 @ SY180 )
!= ( s @ SV22 @ SY181 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY172 ) @ ( s @ SV22 @ SY174 ) @ ( s @ SV22 @ SY180 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY173 ) @ ( s @ SV22 @ SY175 ) @ ( s @ SV22 @ SY181 ) ) ) ) )
| ~ ! [SY182: $i,SY183: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SY172 )
!= ( s @ tyop_2Emin_2Ebool @ SY173 ) )
| ( ( s @ SV22 @ SY174 )
!= ( s @ SV22 @ SY175 ) )
| ( ( s @ SV22 @ SY182 )
!= ( s @ SV22 @ SY183 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY172 ) @ ( s @ SV22 @ SY174 ) @ ( s @ SV22 @ SY182 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY173 ) @ ( s @ SV22 @ SY175 ) @ ( s @ SV22 @ SY183 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(223,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(224,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK5_V1x_2E0 @ SX1 @ SX0 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(225,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(226,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK4_V1x_2E0 @ SX1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[182]) ).
thf(227,plain,
! [SV24: $i] :
( ( ~ ( ~ ! [SY196: $i,SY197: $i] :
( ( ( s @ SV24 @ SY196 )
!= ( s @ SV24 @ SY197 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY196 ) ) ) @ ( s @ SV24 @ SY197 ) ) ) ) )
| ~ ! [SY198: $i,SY199: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY198 ) ) ) @ ( s @ SV24 @ SY199 ) ) ) )
| ( ( s @ SV24 @ SY198 )
= ( s @ SV24 @ SY199 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(228,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[184]) ).
thf(229,plain,
! [SV25: $i] :
( ( ~ ( ~ ! [SY200: $i,SY201: $i] :
( ( ( s @ SV25 @ SY200 )
!= ( s @ SV25 @ SY201 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY200 ) @ ( s @ SV25 @ SY201 ) ) ) ) )
| ~ ! [SY202: $i,SY203: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY202 ) @ ( s @ SV25 @ SY203 ) ) ) )
| ( ( s @ SV25 @ SY202 )
= ( s @ SV25 @ SY203 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(230,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[186]) ).
thf(231,plain,
( ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[187]) ).
thf(232,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(233,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(234,plain,
! [SV26: $i] :
( ( ~ ( ~ ! [SY204: $i,SY205: $i] :
( ( ( s @ SV26 @ SY204 )
!= ( s @ SV26 @ SY205 ) )
| ( ( s @ SV26 @ SY205 )
= ( s @ SV26 @ SY204 ) ) )
| ~ ! [SY206: $i,SY207: $i] :
( ( ( s @ SV26 @ SY207 )
!= ( s @ SV26 @ SY206 ) )
| ( ( s @ SV26 @ SY206 )
= ( s @ SV26 @ SY207 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(235,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[191]) ).
thf(236,plain,
! [SV1: $i,SV27: $i] :
( ( ! [SY208: $i,SY209: $i] :
( ( ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY208 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY209 @ SY208 @ SV27 @ SV1 ) ) ) )
!= ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY209 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY209 @ SY208 @ SV27 @ SV1 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY208 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY209 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(237,plain,
! [SV2: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[194]) ).
thf(238,plain,
! [SV28: $i,SV3: $i] :
( ( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ SV3 ) @ combin_i_2E0 ) @ ( s @ SV3 @ SV28 ) ) )
= ( s @ SV3 @ SV28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(239,plain,
! [SV29: $i,SV4: $i] :
( ( ! [SY210: $i,SY211: $i] :
( ( s @ SV4 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) ) @ combin_k_2E0 ) @ ( s @ SV4 @ SY210 ) ) ) @ ( s @ SV29 @ SY211 ) ) )
= ( s @ SV4 @ SY210 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(240,plain,
! [SV30: $i,SV5: $i] :
( ( ! [SY212: $i,SY213: $i,SY214: $i,SY215: $i] :
( ( s @ SY212 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SY212 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SY212 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SY212 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SY212 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SY212 ) ) @ SY213 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY214 ) ) ) @ ( s @ SV5 @ SY215 ) ) )
= ( s @ SY212 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV30 @ SY212 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SY212 ) ) @ SY213 ) @ ( s @ SV5 @ SY215 ) ) ) @ ( s @ SV30 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY214 ) @ ( s @ SV5 @ SY215 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(241,plain,
! [SV31: $i,SV6: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SV31 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SV31 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(242,plain,
! [SV32: $i,SV7: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ SV32 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV7 @ tyop_2Emin_2Ebool ) @ SV32 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(243,plain,
! [SV33: $i,SV8: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV8 ) @ ( s @ tyop_2Enum_2Enum @ SV33 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV8 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(244,plain,
! [SV34: $i,SV9: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV34 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV34 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(245,plain,
! [SV35: $i,SV10: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SV10 ) @ ( s @ tyop_2Enum_2Enum @ SV35 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum ) ) @ c_2Earithmetic_2E_2B_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV10 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(246,plain,
! [SV36: $i,SV11: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ SV36 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(247,plain,
! [SV37: $i,SV12: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV12 ) @ ( s @ tyop_2Enum_2Enum @ SV37 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool ) ) @ c_2Earithmetic_2E_3C_3D_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV12 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(248,plain,
! [SV38: $i,SV13: $i] :
( ( ! [SY216: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV38 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY216 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV38 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SY216 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(249,plain,
! [SV39: $i,SV14: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV39 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV14 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV39 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(250,plain,
! [SV40: $i,SV15: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ SV40 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV15 ) @ SV40 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(251,plain,
! [SV41: $i,SV16: $i] :
( ( ! [SY217: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV41 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY217 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV41 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SY217 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(252,plain,
! [SV42: $i,SV17: $i] :
( ( ! [SY218: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV42 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY218 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV42 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SY218 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(253,plain,
! [SV43: $i,SV18: $i] :
( ( ! [SY219: $i,SY220: $i] :
( ( s @ SV18 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV43 ) @ ( s @ SV18 @ SY219 ) @ ( s @ SV18 @ SY220 ) ) )
= ( s @ SV18 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) @ ( s @ SV18 @ SY219 ) ) ) @ ( s @ SV18 @ SY220 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(254,plain,
! [SV44: $i,SV19: $i] :
( ( ! [SY221: $i,SY222: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV44 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY221 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY222 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV44 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY221 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY222 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(255,plain,
! [SV45: $i,SV20: $i] :
( ( ! [SY223: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV45 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY223 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV45 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SY223 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(256,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(257,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(258,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[215]) ).
thf(259,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(260,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[216]) ).
thf(261,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(262,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(263,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(264,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(265,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(266,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[219]) ).
thf(267,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(268,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[220]) ).
thf(269,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(270,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[221]) ).
thf(271,plain,
! [SV22: $i,SV47: $i] :
( ( ! [SY238: $i,SY239: $i,SY240: $i] :
~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ! [SY241: $i,SY242: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY239 ) @ ( s @ SV22 @ SY241 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY238 ) @ ( s @ SV22 @ SY240 ) @ ( s @ SV22 @ SY242 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ( ( s @ SV22 @ SY239 )
!= ( s @ SV22 @ SY240 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ! [SY243: $i,SY244: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY239 ) @ ( s @ SV22 @ SY243 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY238 ) @ ( s @ SV22 @ SY240 ) @ ( s @ SV22 @ SY244 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY245: $i,SY246: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ( ( s @ SV22 @ SY245 )
!= ( s @ SV22 @ SY246 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY239 ) @ ( s @ SV22 @ SY245 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY238 ) @ ( s @ SV22 @ SY240 ) @ ( s @ SV22 @ SY246 ) ) ) ) )
| ~ ! [SY247: $i,SY248: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SY238 ) )
| ( ( s @ SV22 @ SY239 )
!= ( s @ SV22 @ SY240 ) )
| ( ( s @ SV22 @ SY247 )
!= ( s @ SV22 @ SY248 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY239 ) @ ( s @ SV22 @ SY247 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY238 ) @ ( s @ SV22 @ SY240 ) @ ( s @ SV22 @ SY248 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(272,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(273,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[223]) ).
thf(274,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK5_V1x_2E0 @ SX1 @ SX0 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(275,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[224]) ).
thf(276,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[225]) ).
thf(277,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(278,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK4_V1x_2E0 @ SX1 @ SX0 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(279,plain,
! [SV24: $i] :
( ( ~ ! [SY196: $i,SY197: $i] :
( ( ( s @ SV24 @ SY196 )
!= ( s @ SV24 @ SY197 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY196 ) ) ) @ ( s @ SV24 @ SY197 ) ) ) ) )
| ~ ! [SY198: $i,SY199: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY198 ) ) ) @ ( s @ SV24 @ SY199 ) ) ) )
| ( ( s @ SV24 @ SY198 )
= ( s @ SV24 @ SY199 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[227]) ).
thf(280,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(281,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[228]) ).
thf(282,plain,
! [SV25: $i] :
( ( ~ ! [SY200: $i,SY201: $i] :
( ( ( s @ SV25 @ SY200 )
!= ( s @ SV25 @ SY201 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY200 ) @ ( s @ SV25 @ SY201 ) ) ) ) )
| ~ ! [SY202: $i,SY203: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY202 ) @ ( s @ SV25 @ SY203 ) ) ) )
| ( ( s @ SV25 @ SY202 )
= ( s @ SV25 @ SY203 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[229]) ).
thf(283,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(284,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(285,plain,
( ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(286,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(287,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(288,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(289,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(290,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(291,plain,
! [SV26: $i] :
( ( ~ ! [SY204: $i,SY205: $i] :
( ( ( s @ SV26 @ SY204 )
!= ( s @ SV26 @ SY205 ) )
| ( ( s @ SV26 @ SY205 )
= ( s @ SV26 @ SY204 ) ) )
| ~ ! [SY206: $i,SY207: $i] :
( ( ( s @ SV26 @ SY207 )
!= ( s @ SV26 @ SY206 ) )
| ( ( s @ SV26 @ SY206 )
= ( s @ SV26 @ SY207 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[234]) ).
thf(292,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(293,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[235]) ).
thf(294,plain,
! [SV48: $i,SV1: $i,SV27: $i] :
( ( ! [SY249: $i] :
( ( ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY249 @ SV48 @ SV27 @ SV1 ) ) ) )
!= ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY249 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SY249 @ SV48 @ SV27 @ SV1 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SY249 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(295,plain,
! [SV49: $i,SV29: $i,SV4: $i] :
( ( ! [SY250: $i] :
( ( s @ SV4 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) ) @ combin_k_2E0 ) @ ( s @ SV4 @ SV49 ) ) ) @ ( s @ SV29 @ SY250 ) ) )
= ( s @ SV4 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(296,plain,
! [SV30: $i,SV5: $i,SV50: $i] :
( ( ! [SY251: $i,SY252: $i,SY253: $i] :
( ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SY251 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY252 ) ) ) @ ( s @ SV5 @ SY253 ) ) )
= ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SY251 ) @ ( s @ SV5 @ SY253 ) ) ) @ ( s @ SV30 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY252 ) @ ( s @ SV5 @ SY253 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(297,plain,
! [SV51: $i,SV38: $i,SV13: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV38 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV51 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV38 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV13 ) @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(298,plain,
! [SV52: $i,SV41: $i,SV16: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV41 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV52 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) ) ) @ c_2Ewords_2Eword__add_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV41 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV16 ) @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(299,plain,
! [SV53: $i,SV42: $i,SV17: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV42 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV53 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) ) ) @ c_2Ewords_2Eword__sub_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV42 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV17 ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(300,plain,
! [SV54: $i,SV43: $i,SV18: $i] :
( ( ! [SY254: $i] :
( ( s @ SV18 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV43 ) @ ( s @ SV18 @ SV54 ) @ ( s @ SV18 @ SY254 ) ) )
= ( s @ SV18 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) @ ( s @ SV18 @ SV54 ) ) ) @ ( s @ SV18 @ SY254 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(301,plain,
! [SV55: $i,SV44: $i,SV19: $i] :
( ( ! [SY255: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV44 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV55 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY255 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV44 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV55 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(302,plain,
! [SV56: $i,SV45: $i,SV20: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__sub_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV45 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV56 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV45 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ SV56 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(303,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(304,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(305,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(306,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(307,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(308,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[261]) ).
thf(309,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[262]) ).
thf(310,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[263]) ).
thf(311,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ SX0 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) )
= ( s @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[264]) ).
thf(312,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[265]) ).
thf(313,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[266]) ).
thf(314,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[267]) ).
thf(315,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SX0 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[268]) ).
thf(316,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(317,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(318,plain,
! [SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY256: $i,SY257: $i] :
~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY258: $i,SY259: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY256 ) @ ( s @ SV22 @ SY258 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY257 ) @ ( s @ SV22 @ SY259 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY256 )
!= ( s @ SV22 @ SY257 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY260: $i,SY261: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY256 ) @ ( s @ SV22 @ SY260 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY257 ) @ ( s @ SV22 @ SY261 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY262: $i,SY263: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY262 )
!= ( s @ SV22 @ SY263 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY256 ) @ ( s @ SV22 @ SY262 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY257 ) @ ( s @ SV22 @ SY263 ) ) ) ) )
| ~ ! [SY264: $i,SY265: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY256 )
!= ( s @ SV22 @ SY257 ) )
| ( ( s @ SV22 @ SY264 )
!= ( s @ SV22 @ SY265 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SY256 ) @ ( s @ SV22 @ SY264 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY257 ) @ ( s @ SV22 @ SY265 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(319,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[272]) ).
thf(320,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[273]) ).
thf(321,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK5_V1x_2E0 @ SX1 @ SX0 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[274]) ).
thf(322,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[275]) ).
thf(323,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(324,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[276]) ).
thf(325,plain,
( ( ! [SX0: $i,SX1: $i] :
( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[277]) ).
thf(326,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) @ ( s @ SX0 @ ( sK4_V1x_2E0 @ SX1 @ SX0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[278]) ).
thf(327,plain,
! [SV24: $i] :
( ( ~ ! [SY196: $i,SY197: $i] :
( ( ( s @ SV24 @ SY196 )
!= ( s @ SV24 @ SY197 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY196 ) ) ) @ ( s @ SV24 @ SY197 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(328,plain,
! [SV24: $i] :
( ( ~ ! [SY198: $i,SY199: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY198 ) ) ) @ ( s @ SV24 @ SY199 ) ) ) )
| ( ( s @ SV24 @ SY198 )
= ( s @ SV24 @ SY199 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(329,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[280]) ).
thf(330,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(331,plain,
! [SV25: $i] :
( ( ~ ! [SY200: $i,SY201: $i] :
( ( ( s @ SV25 @ SY200 )
!= ( s @ SV25 @ SY201 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY200 ) @ ( s @ SV25 @ SY201 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(332,plain,
! [SV25: $i] :
( ( ~ ! [SY202: $i,SY203: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY202 ) @ ( s @ SV25 @ SY203 ) ) ) )
| ( ( s @ SV25 @ SY202 )
= ( s @ SV25 @ SY203 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[282]) ).
thf(333,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[283]) ).
thf(334,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[284]) ).
thf(335,plain,
( ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[285]) ).
thf(336,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true )
= $true ),
inference(extcnf_not_neg,[status(thm)],[286]) ).
thf(337,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[287]) ).
thf(338,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[288]) ).
thf(339,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(340,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(341,plain,
! [SV26: $i] :
( ( ~ ! [SY204: $i,SY205: $i] :
( ( ( s @ SV26 @ SY204 )
!= ( s @ SV26 @ SY205 ) )
| ( ( s @ SV26 @ SY205 )
= ( s @ SV26 @ SY204 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(342,plain,
! [SV26: $i] :
( ( ~ ! [SY206: $i,SY207: $i] :
( ( ( s @ SV26 @ SY207 )
!= ( s @ SV26 @ SY206 ) )
| ( ( s @ SV26 @ SY206 )
= ( s @ SV26 @ SY207 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[291]) ).
thf(343,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(344,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[293]) ).
thf(345,plain,
! [SV58: $i,SV48: $i,SV1: $i,SV27: $i] :
( ( ( ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) )
!= ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(346,plain,
! [SV59: $i,SV49: $i,SV29: $i,SV4: $i] :
( ( ( s @ SV4 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV29 @ SV4 ) ) @ combin_k_2E0 ) @ ( s @ SV4 @ SV49 ) ) ) @ ( s @ SV29 @ SV59 ) ) )
= ( s @ SV4 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(347,plain,
! [SV60: $i,SV30: $i,SV5: $i,SV50: $i] :
( ( ! [SY266: $i,SY267: $i] :
( ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY266 ) ) ) @ ( s @ SV5 @ SY267 ) ) )
= ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) @ ( s @ SV5 @ SY267 ) ) ) @ ( s @ SV30 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SY266 ) @ ( s @ SV5 @ SY267 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(348,plain,
! [SV61: $i,SV54: $i,SV43: $i,SV18: $i] :
( ( ( s @ SV18 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV43 ) @ ( s @ SV18 @ SV54 ) @ ( s @ SV18 @ SV61 ) ) )
= ( s @ SV18 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV18 @ ( tyop_2Emin_2Efun @ SV18 @ SV18 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) @ ( s @ SV18 @ SV54 ) ) ) @ ( s @ SV18 @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(349,plain,
! [SV62: $i,SV55: $i,SV44: $i,SV19: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV44 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV55 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV62 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV44 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV55 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV19 ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(350,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(351,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[303]) ).
thf(352,plain,
! [SV63: $i] :
( ( ! [SY268: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY268 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(353,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(354,plain,
! [SV64: $i] :
( ( ! [SY269: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY269 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY269 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(355,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(356,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(357,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(358,plain,
! [SV65: $i] :
( ( ! [SY270: $i,SY271: $i] :
( ( s @ SV65 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV65 @ SY270 ) @ ( s @ SV65 @ SY271 ) ) )
= ( s @ SV65 @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(359,plain,
! [SV66: $i] :
( ( ! [SY272: $i,SY273: $i] :
( ( s @ SV66 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV66 @ SY272 ) @ ( s @ SV66 @ SY273 ) ) )
= ( s @ SV66 @ SY273 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(360,plain,
! [SV67: $i] :
( ( ! [SY274: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV67 ) @ ( s @ tyop_2Emin_2Ebool @ SY274 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV67 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY274 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(361,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[313]) ).
thf(362,plain,
! [SV68: $i] :
( ( ! [SY275: $i,SY276: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY275 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY276 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SY275 ) @ ( s @ tyop_2Enum_2Enum @ SY276 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(363,plain,
! [SV69: $i] :
( ( ! [SY277: $i,SY278: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY277 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY278 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY278 ) @ ( s @ tyop_2Enum_2Enum @ SY277 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY277 ) @ ( s @ tyop_2Enum_2Enum @ SY278 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY278 ) @ ( s @ tyop_2Enum_2Enum @ SY277 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(364,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(365,plain,
! [SV70: $i] :
( ( ! [SY279: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SY279 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY279 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(366,plain,
! [SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY280: $i] :
~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY281: $i,SY282: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY281 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY280 ) @ ( s @ SV22 @ SY282 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SY280 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY283: $i,SY284: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY283 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY280 ) @ ( s @ SV22 @ SY284 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY285: $i,SY286: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY285 )
!= ( s @ SV22 @ SY286 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY285 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY280 ) @ ( s @ SV22 @ SY286 ) ) ) ) )
| ~ ! [SY287: $i,SY288: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SY280 ) )
| ( ( s @ SV22 @ SY287 )
!= ( s @ SV22 @ SY288 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY287 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SY280 ) @ ( s @ SV22 @ SY288 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(367,plain,
! [SV72: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(368,plain,
! [SV73: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV73 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV73 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(369,plain,
! [SV74: $i] :
( ( ! [SY289: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SY289 ) @ ( s @ SV74 @ ( sK5_V1x_2E0 @ SY289 @ SV74 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SY289 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(370,plain,
! [SV75: $i] :
( ( ! [SY290: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SY290 ) ) ) )
| ! [SY291: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SY290 ) @ ( s @ SV75 @ SY291 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(371,plain,
! [SV23: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(372,plain,
! [SV23: $i] :
( ( ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(373,plain,
! [SV76: $i] :
( ( ! [SY292: $i] :
( ! [SY293: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SY292 ) @ ( s @ SV76 @ SY293 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SY292 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(374,plain,
! [SV77: $i] :
( ( ! [SY294: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SY294 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SY294 ) @ ( s @ SV77 @ ( sK4_V1x_2E0 @ SY294 @ SV77 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(375,plain,
! [SV24: $i] :
( ( ! [SY196: $i,SY197: $i] :
( ( ( s @ SV24 @ SY196 )
!= ( s @ SV24 @ SY197 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY196 ) ) ) @ ( s @ SV24 @ SY197 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(376,plain,
! [SV24: $i] :
( ( ! [SY198: $i,SY199: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SY198 ) ) ) @ ( s @ SV24 @ SY199 ) ) ) )
| ( ( s @ SV24 @ SY198 )
= ( s @ SV24 @ SY199 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[328]) ).
thf(377,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(378,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(379,plain,
! [SV25: $i] :
( ( ! [SY200: $i,SY201: $i] :
( ( ( s @ SV25 @ SY200 )
!= ( s @ SV25 @ SY201 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY200 ) @ ( s @ SV25 @ SY201 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(380,plain,
! [SV25: $i] :
( ( ! [SY202: $i,SY203: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SY202 ) @ ( s @ SV25 @ SY203 ) ) ) )
| ( ( s @ SV25 @ SY202 )
= ( s @ SV25 @ SY203 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[332]) ).
thf(381,plain,
! [SV78: $i] :
( ( ! [SY295: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY295 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SY295 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(382,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[334]) ).
thf(383,plain,
( ( ( ~ $true ) = $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(384,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[336]) ).
thf(385,plain,
! [SV79: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(386,plain,
! [SV80: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV80 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV80 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(387,plain,
! [SV81: $i] :
( ( ! [SY296: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY296 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SY296 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(388,plain,
! [SV82: $i] :
( ( ! [SY297: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SV82 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY297 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV82 )
= ( s @ tyop_2Emin_2Ebool @ SY297 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(389,plain,
! [SV26: $i] :
( ( ! [SY204: $i,SY205: $i] :
( ( ( s @ SV26 @ SY204 )
!= ( s @ SV26 @ SY205 ) )
| ( ( s @ SV26 @ SY205 )
= ( s @ SV26 @ SY204 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[341]) ).
thf(390,plain,
! [SV26: $i] :
( ( ! [SY206: $i,SY207: $i] :
( ( ( s @ SV26 @ SY207 )
!= ( s @ SV26 @ SY206 ) )
| ( ( s @ SV26 @ SY206 )
= ( s @ SV26 @ SY207 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(391,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(392,plain,
! [SV83: $i] :
( ( ! [SY298: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY298 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY298 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(393,plain,
! [SV58: $i,SV48: $i,SV1: $i,SV27: $i] :
( ( ( ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) )
!= ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) ) )
= $true )
| ( ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(394,plain,
! [SV84: $i,SV60: $i,SV30: $i,SV5: $i,SV50: $i] :
( ( ! [SY299: $i] :
( ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SV84 ) ) ) @ ( s @ SV5 @ SY299 ) ) )
= ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) @ ( s @ SV5 @ SY299 ) ) ) @ ( s @ SV30 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SV84 ) @ ( s @ SV5 @ SY299 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(395,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(396,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(397,plain,
! [SV85: $i,SV63: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(398,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(399,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[353]) ).
thf(400,plain,
! [SV86: $i,SV64: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV86 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(401,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(402,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[355]) ).
thf(403,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(404,plain,
( ( ~ ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(405,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(406,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[357]) ).
thf(407,plain,
! [SV87: $i,SV65: $i] :
( ( ! [SY300: $i] :
( ( s @ SV65 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV65 @ SV87 ) @ ( s @ SV65 @ SY300 ) ) )
= ( s @ SV65 @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(408,plain,
! [SV88: $i,SV66: $i] :
( ( ! [SY301: $i] :
( ( s @ SV66 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV66 @ SV88 ) @ ( s @ SV66 @ SY301 ) ) )
= ( s @ SV66 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(409,plain,
! [SV89: $i,SV67: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV67 ) @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV67 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(410,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(411,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[361]) ).
thf(412,plain,
! [SV90: $i,SV68: $i] :
( ( ! [SY302: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV90 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY302 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SV90 ) @ ( s @ tyop_2Enum_2Enum @ SY302 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(413,plain,
! [SV91: $i,SV69: $i] :
( ( ! [SY303: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY303 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY303 ) @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV91 ) @ ( s @ tyop_2Enum_2Enum @ SY303 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SY303 ) @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(414,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(415,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[364]) ).
thf(416,plain,
! [SV92: $i,SV70: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(417,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) )
| ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(418,plain,
! [SV72: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(419,plain,
! [SV73: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV73 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV73 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(420,plain,
! [SV94: $i,SV74: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) @ ( s @ SV74 @ ( sK5_V1x_2E0 @ SV94 @ SV74 ) ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(421,plain,
! [SV95: $i,SV75: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) ) ) )
| ! [SY312: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) @ ( s @ SV75 @ SY312 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(422,plain,
! [SV23: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(423,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(424,plain,
! [SV96: $i,SV76: $i] :
( ( ! [SY313: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) @ ( s @ SV76 @ SY313 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(425,plain,
! [SV97: $i,SV77: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) @ ( s @ SV77 @ ( sK4_V1x_2E0 @ SV97 @ SV77 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(426,plain,
! [SV98: $i,SV24: $i] :
( ( ! [SY314: $i] :
( ( ( s @ SV24 @ SV98 )
!= ( s @ SV24 @ SY314 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV98 ) ) ) @ ( s @ SV24 @ SY314 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(427,plain,
! [SV99: $i,SV24: $i] :
( ( ! [SY315: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV99 ) ) ) @ ( s @ SV24 @ SY315 ) ) ) )
| ( ( s @ SV24 @ SV99 )
= ( s @ SV24 @ SY315 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(428,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(429,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[377]) ).
thf(430,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(431,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[378]) ).
thf(432,plain,
! [SV100: $i,SV25: $i] :
( ( ! [SY316: $i] :
( ( ( s @ SV25 @ SV100 )
!= ( s @ SV25 @ SY316 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV100 ) @ ( s @ SV25 @ SY316 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(433,plain,
! [SV101: $i,SV25: $i] :
( ( ! [SY317: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV101 ) @ ( s @ SV25 @ SY317 ) ) ) )
| ( ( s @ SV25 @ SV101 )
= ( s @ SV25 @ SY317 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(434,plain,
! [SV102: $i,SV78: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV102 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(435,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(436,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[382]) ).
thf(437,plain,
( ( $true = $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[383]) ).
thf(438,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(439,plain,
! [SV79: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(440,plain,
! [SV80: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV80 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV80 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(441,plain,
! [SV103: $i,SV81: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV103 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(442,plain,
! [SV104: $i,SV82: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV82 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV104 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV82 )
= ( s @ tyop_2Emin_2Ebool @ SV104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(443,plain,
! [SV105: $i,SV26: $i] :
( ( ! [SY318: $i] :
( ( ( s @ SV26 @ SV105 )
!= ( s @ SV26 @ SY318 ) )
| ( ( s @ SV26 @ SY318 )
= ( s @ SV26 @ SV105 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[389]) ).
thf(444,plain,
! [SV106: $i,SV26: $i] :
( ( ! [SY319: $i] :
( ( ( s @ SV26 @ SY319 )
!= ( s @ SV26 @ SV106 ) )
| ( ( s @ SV26 @ SV106 )
= ( s @ SV26 @ SY319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(445,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(446,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[391]) ).
thf(447,plain,
! [SV107: $i,SV83: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(448,plain,
! [SV58: $i,SV48: $i,SV1: $i,SV27: $i] :
( ( ( ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) )
= ( s @ SV27 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) @ ( s @ SV1 @ ( sK6_V2x_2E0 @ SV58 @ SV48 @ SV27 @ SV1 ) ) ) ) )
= $false )
| ( ( ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV48 )
= ( s @ ( tyop_2Emin_2Efun @ SV1 @ SV27 ) @ SV58 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(449,plain,
! [SV108: $i,SV84: $i,SV60: $i,SV30: $i,SV5: $i,SV50: $i] :
( ( ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ ( tyop_2Emin_2Efun @ SV5 @ SV50 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SV84 ) ) ) @ ( s @ SV5 @ SV108 ) ) )
= ( s @ SV50 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ ( tyop_2Emin_2Efun @ SV30 @ SV50 ) ) @ SV60 ) @ ( s @ SV5 @ SV108 ) ) ) @ ( s @ SV30 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ SV30 ) @ SV84 ) @ ( s @ SV5 @ SV108 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(450,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(451,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(452,plain,
! [SV85: $i,SV63: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[397]) ).
thf(453,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(454,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[399]) ).
thf(455,plain,
! [SV86: $i,SV64: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(456,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(457,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(458,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(459,plain,
( ( ~ ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(460,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[405]) ).
thf(461,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(462,plain,
! [SV109: $i,SV87: $i,SV65: $i] :
( ( ( s @ SV65 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV65 @ SV87 ) @ ( s @ SV65 @ SV109 ) ) )
= ( s @ SV65 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(463,plain,
! [SV110: $i,SV88: $i,SV66: $i] :
( ( ( s @ SV66 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV66 @ SV88 ) @ ( s @ SV66 @ SV110 ) ) )
= ( s @ SV66 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(464,plain,
! [SV89: $i,SV67: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV67 ) @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV67 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[409]) ).
thf(465,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[410]) ).
thf(466,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(467,plain,
! [SV111: $i,SV90: $i,SV68: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV90 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV111 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV68 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2B_2E2 @ ( s @ tyop_2Enum_2Enum @ SV90 ) @ ( s @ tyop_2Enum_2Enum @ SV111 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(468,plain,
! [SV112: $i,SV91: $i,SV69: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__add_2E2 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV112 ) ) ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Earithmetic_2E_3C_3D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV112 ) @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV91 ) @ ( s @ tyop_2Enum_2Enum @ SV112 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV69 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2E_2D_2E2 @ ( s @ tyop_2Enum_2Enum @ SV112 ) @ ( s @ tyop_2Enum_2Enum @ SV91 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(469,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[414]) ).
thf(470,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(471,plain,
! [SV92: $i,SV70: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(472,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) )
| ~ ~ ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) )
| ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(473,plain,
! [SV72: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(474,plain,
! [SV94: $i,SV74: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) @ ( s @ SV74 @ ( sK5_V1x_2E0 @ SV94 @ SV74 ) ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[420]) ).
thf(475,plain,
! [SV95: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) ) ) ) )
= $true )
| ( ( ! [SY312: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) @ ( s @ SV75 @ SY312 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(476,plain,
! [SV23: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(477,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(478,plain,
! [SV23: $i] :
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(479,plain,
! [SV23: $i] :
( ( ~ ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(480,plain,
! [SV96: $i,SV76: $i] :
( ( ( ! [SY313: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) @ ( s @ SV76 @ SY313 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(481,plain,
! [SV97: $i,SV77: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) @ ( s @ SV77 @ ( sK4_V1x_2E0 @ SV97 @ SV77 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[425]) ).
thf(482,plain,
! [SV113: $i,SV98: $i,SV24: $i] :
( ( ( ( s @ SV24 @ SV98 )
!= ( s @ SV24 @ SV113 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV98 ) ) ) @ ( s @ SV24 @ SV113 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(483,plain,
! [SV114: $i,SV99: $i,SV24: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV99 ) ) ) @ ( s @ SV24 @ SV114 ) ) ) )
| ( ( s @ SV24 @ SV99 )
= ( s @ SV24 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(484,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[428]) ).
thf(485,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(486,plain,
( ( ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(487,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(488,plain,
! [SV115: $i,SV100: $i,SV25: $i] :
( ( ( ( s @ SV25 @ SV100 )
!= ( s @ SV25 @ SV115 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV100 ) @ ( s @ SV25 @ SV115 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(489,plain,
! [SV116: $i,SV101: $i,SV25: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV101 ) @ ( s @ SV25 @ SV116 ) ) ) )
| ( ( s @ SV25 @ SV101 )
= ( s @ SV25 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(490,plain,
! [SV102: $i,SV78: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[434]) ).
thf(491,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(492,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(493,plain,
! [SV79: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(494,plain,
! [SV103: $i,SV81: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV103 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(495,plain,
! [SV104: $i,SV82: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV82 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV104 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV82 )
= ( s @ tyop_2Emin_2Ebool @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(496,plain,
! [SV117: $i,SV105: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV105 )
!= ( s @ SV26 @ SV117 ) )
| ( ( s @ SV26 @ SV117 )
= ( s @ SV26 @ SV105 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(497,plain,
! [SV106: $i,SV118: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV118 )
!= ( s @ SV26 @ SV106 ) )
| ( ( s @ SV26 @ SV106 )
= ( s @ SV26 @ SV118 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(498,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(499,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(500,plain,
! [SV107: $i,SV83: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(501,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(502,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(503,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(504,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(505,plain,
! [SV85: $i,SV63: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[452]) ).
thf(506,plain,
! [SV119: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV119 ) )
| ! [SY320: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV119 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY320 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(507,plain,
! [SV120: $i] :
( ( ! [SY321: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY321 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV120 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY321 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(508,plain,
! [SV86: $i,SV64: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[455]) ).
thf(509,plain,
! [SV121: $i] :
( ( ! [SY322: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV121 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY322 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(510,plain,
! [SV122: $i] :
( ( ! [SY323: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV122 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY323 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(511,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(512,plain,
( ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(513,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(514,plain,
! [SV123: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(515,plain,
! [SV89: $i,SV67: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV67 ) @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV67 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(516,plain,
! [SV124: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV124 ) )
| ! [SY324: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV124 ) @ ( s @ tyop_2Emin_2Ebool @ SY324 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(517,plain,
! [SV125: $i] :
( ( ! [SY325: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY325 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV125 ) @ ( s @ tyop_2Emin_2Ebool @ SY325 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(518,plain,
! [SV126: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV126 ) )
| ! [SY326: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV126 ) @ ( s @ tyop_2Emin_2Ebool @ SY326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(519,plain,
! [SV127: $i] :
( ( ! [SY327: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY327 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV127 ) @ ( s @ tyop_2Emin_2Ebool @ SY327 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(520,plain,
! [SV92: $i,SV70: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(521,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(522,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ~ ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) )
| ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[472]) ).
thf(523,plain,
! [SV72: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV72 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(524,plain,
! [SV94: $i,SV74: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) @ ( s @ SV74 @ ( sK5_V1x_2E0 @ SV94 @ SV74 ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV74 @ tyop_2Emin_2Ebool ) @ SV94 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(525,plain,
! [SV95: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) ) ) )
= $false )
| ( ( ! [SY312: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) @ ( s @ SV75 @ SY312 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(526,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(527,plain,
! [SV23: $i] :
( ( ~ ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(528,plain,
! [SV23: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[478]) ).
thf(529,plain,
! [SV23: $i] :
( ( ! [SY194: $i,SY195: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY194 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY195 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(530,plain,
! [SV128: $i,SV96: $i,SV76: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) @ ( s @ SV76 @ SV128 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(531,plain,
! [SV97: $i,SV77: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV77 @ tyop_2Emin_2Ebool ) @ SV97 ) @ ( s @ SV77 @ ( sK4_V1x_2E0 @ SV97 @ SV77 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(532,plain,
! [SV113: $i,SV98: $i,SV24: $i] :
( ( ( ( s @ SV24 @ SV98 )
!= ( s @ SV24 @ SV113 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV98 ) ) ) @ ( s @ SV24 @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[482]) ).
thf(533,plain,
! [SV114: $i,SV99: $i,SV24: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV99 ) ) ) @ ( s @ SV24 @ SV114 ) ) ) ) )
= $true )
| ( ( ( s @ SV24 @ SV99 )
= ( s @ SV24 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(534,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(535,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(536,plain,
! [SV129: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV129 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(537,plain,
! [SV130: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV130 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV130 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(538,plain,
! [SV115: $i,SV100: $i,SV25: $i] :
( ( ( ( s @ SV25 @ SV100 )
!= ( s @ SV25 @ SV115 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV100 ) @ ( s @ SV25 @ SV115 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[488]) ).
thf(539,plain,
! [SV116: $i,SV101: $i,SV25: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV101 ) @ ( s @ SV25 @ SV116 ) ) ) ) )
= $true )
| ( ( ( s @ SV25 @ SV101 )
= ( s @ SV25 @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(540,plain,
! [SV102: $i,SV78: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(541,plain,
! [SV131: $i] :
( ( ! [SY328: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV131 ) @ ( s @ tyop_2Emin_2Ebool @ SY328 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV131 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(542,plain,
! [SV132: $i] :
( ( ! [SY329: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV132 ) @ ( s @ tyop_2Emin_2Ebool @ SY329 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY329 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(543,plain,
! [SV79: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV79 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_7E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV79 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(544,plain,
! [SV103: $i,SV81: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV103 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(545,plain,
! [SV104: $i,SV82: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV82 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV104 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV82 )
= ( s @ tyop_2Emin_2Ebool @ SV104 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(546,plain,
! [SV117: $i,SV105: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV105 )
!= ( s @ SV26 @ SV117 ) )
= $true )
| ( ( ( s @ SV26 @ SV117 )
= ( s @ SV26 @ SV105 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(547,plain,
! [SV106: $i,SV118: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV118 )
!= ( s @ SV26 @ SV106 ) )
= $true )
| ( ( ( s @ SV26 @ SV106 )
= ( s @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(548,plain,
! [SV133: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV133 ) )
| ! [SY330: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV133 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY330 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(549,plain,
! [SV134: $i] :
( ( ! [SY331: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY331 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV134 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY331 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(550,plain,
! [SV107: $i,SV83: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[500]) ).
thf(551,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(552,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[502]) ).
thf(553,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(554,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(555,plain,
! [SV85: $i,SV63: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV85 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV85 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(556,plain,
! [SV119: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV119 ) ) )
= $true )
| ( ( ! [SY320: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV119 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[506]) ).
thf(557,plain,
! [SV120: $i,SV135: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV135 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV120 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV135 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(558,plain,
! [SV86: $i,SV64: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(559,plain,
! [SV121: $i] :
( ( ( ! [SY322: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV121 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY322 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(560,plain,
! [SV136: $i,SV122: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV122 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV136 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV136 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(561,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(562,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[511]) ).
thf(563,plain,
( ( ~ ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(564,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[512]) ).
thf(565,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(566,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[513]) ).
thf(567,plain,
! [SV123: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(568,plain,
! [SV89: $i,SV67: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV67 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV67 ) @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[515]) ).
thf(569,plain,
! [SV124: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV124 ) ) )
= $true )
| ( ( ! [SY324: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV124 ) @ ( s @ tyop_2Emin_2Ebool @ SY324 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[516]) ).
thf(570,plain,
! [SV125: $i,SV137: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV137 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV125 ) @ ( s @ tyop_2Emin_2Ebool @ SV137 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(571,plain,
! [SV126: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV126 ) )
= $true )
| ( ( ! [SY326: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV126 ) @ ( s @ tyop_2Emin_2Ebool @ SY326 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[518]) ).
thf(572,plain,
! [SV127: $i,SV138: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV138 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV127 ) @ ( s @ tyop_2Emin_2Ebool @ SV138 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(573,plain,
! [SV92: $i,SV70: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV92 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[520]) ).
thf(574,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(575,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) )
| ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[522]) ).
thf(576,plain,
! [SV139: $i,SV95: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) @ ( s @ SV75 @ SV139 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV75 @ tyop_2Emin_2Ebool ) @ SV95 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(577,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[526]) ).
thf(578,plain,
! [SV23: $i] :
( ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(579,plain,
! [SV23: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(580,plain,
! [SV140: $i,SV23: $i] :
( ( ! [SY332: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY332 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(581,plain,
! [SV128: $i,SV96: $i,SV76: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) @ ( s @ SV76 @ SV128 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV76 @ tyop_2Emin_2Ebool ) @ SV96 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(582,plain,
! [SV113: $i,SV98: $i,SV24: $i] :
( ( ( ( s @ SV24 @ SV98 )
= ( s @ SV24 @ SV113 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV98 ) ) ) @ ( s @ SV24 @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[532]) ).
thf(583,plain,
! [SV114: $i,SV99: $i,SV24: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV24 @ ( tyop_2Emin_2Efun @ SV24 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV24 @ SV99 ) ) ) @ ( s @ SV24 @ SV114 ) ) ) )
= $false )
| ( ( ( s @ SV24 @ SV99 )
= ( s @ SV24 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[533]) ).
thf(584,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(585,plain,
( ( ~ ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[534]) ).
thf(586,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(587,plain,
( ( ~ ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(588,plain,
! [SV129: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV129 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV129 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(589,plain,
! [SV130: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV130 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV130 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(590,plain,
! [SV115: $i,SV100: $i,SV25: $i] :
( ( ( ( s @ SV25 @ SV100 )
= ( s @ SV25 @ SV115 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV100 ) @ ( s @ SV25 @ SV115 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[538]) ).
thf(591,plain,
! [SV116: $i,SV101: $i,SV25: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV25 @ SV101 ) @ ( s @ SV25 @ SV116 ) ) ) )
= $false )
| ( ( ( s @ SV25 @ SV101 )
= ( s @ SV25 @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[539]) ).
thf(592,plain,
! [SV102: $i,SV78: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[540]) ).
thf(593,plain,
! [SV131: $i] :
( ( ( ! [SY328: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV131 ) @ ( s @ tyop_2Emin_2Ebool @ SY328 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV131 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(594,plain,
! [SV141: $i,SV132: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV132 ) @ ( s @ tyop_2Emin_2Ebool @ SV141 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(595,plain,
! [SV103: $i,SV81: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV103 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[544]) ).
thf(596,plain,
! [SV117: $i,SV105: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV105 )
= ( s @ SV26 @ SV117 ) )
= $false )
| ( ( ( s @ SV26 @ SV117 )
= ( s @ SV26 @ SV105 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(597,plain,
! [SV106: $i,SV118: $i,SV26: $i] :
( ( ( ( s @ SV26 @ SV118 )
= ( s @ SV26 @ SV106 ) )
= $false )
| ( ( ( s @ SV26 @ SV106 )
= ( s @ SV26 @ SV118 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(598,plain,
! [SV133: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV133 ) )
= $true )
| ( ( ! [SY330: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV133 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY330 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[548]) ).
thf(599,plain,
! [SV134: $i,SV142: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV142 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV134 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV142 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(600,plain,
! [SV107: $i,SV83: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV107 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(601,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(602,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) )
| ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(603,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[553]) ).
thf(604,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) )
| ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(605,plain,
! [SV119: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV119 ) )
= $false )
| ( ( ! [SY320: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV119 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY320 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(606,plain,
! [SV120: $i,SV135: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV135 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV120 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[557]) ).
thf(607,plain,
! [SV64: $i,SV86: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV86 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV64 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV64 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(608,plain,
! [SV143: $i,SV121: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV121 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV143 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV121 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(609,plain,
! [SV136: $i,SV122: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV122 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV136 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV136 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(610,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(611,plain,
( ( ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[562]) ).
thf(612,plain,
( ( ~ $true
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(613,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| $true )
= $true ),
inference(extcnf_not_neg,[status(thm)],[564]) ).
thf(614,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[565]) ).
thf(615,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(616,plain,
! [SV123: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(617,plain,
! [SV124: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV124 ) )
= $false )
| ( ( ! [SY324: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV124 ) @ ( s @ tyop_2Emin_2Ebool @ SY324 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(618,plain,
! [SV125: $i,SV137: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV137 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV125 ) @ ( s @ tyop_2Emin_2Ebool @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(619,plain,
! [SV144: $i,SV126: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV126 ) @ ( s @ tyop_2Emin_2Ebool @ SV144 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV126 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(620,plain,
! [SV127: $i,SV138: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV138 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV127 ) @ ( s @ tyop_2Emin_2Ebool @ SV138 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[572]) ).
thf(621,plain,
! [SV92: $i,SV70: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV92 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV70 ) @ ( s @ tyop_2Emin_2Ebool @ SV92 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(622,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
| ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(623,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) )
| ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(624,plain,
! [SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(625,plain,
! [SV23: $i] :
( ( ~ ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(626,plain,
! [SV23: $i] :
( ( ~ ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(627,plain,
! [SV23: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(628,plain,
! [SV23: $i] :
( ( ~ ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[579]) ).
thf(629,plain,
! [SV140: $i,SV23: $i,SV145: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(630,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[584]) ).
thf(631,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[585]) ).
thf(632,plain,
( ( ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(633,plain,
( ( ! [SX0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(634,plain,
! [SV129: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV129 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV129 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(635,plain,
! [SV78: $i,SV102: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV102 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV78 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV78 ) @ ( s @ tyop_2Emin_2Ebool @ SV102 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(636,plain,
! [SV146: $i,SV131: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV131 ) @ ( s @ tyop_2Emin_2Ebool @ SV146 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV131 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(637,plain,
! [SV141: $i,SV132: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV132 ) @ ( s @ tyop_2Emin_2Ebool @ SV141 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV141 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[594]) ).
thf(638,plain,
! [SV81: $i,SV103: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV103 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV81 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV81 )
= ( s @ tyop_2Emin_2Ebool @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(639,plain,
! [SV147: $i,SV133: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV133 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV147 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV133 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(640,plain,
! [SV134: $i,SV142: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV142 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV134 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[599]) ).
thf(641,plain,
! [SV107: $i,SV83: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV83 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV107 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV83 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV107 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(642,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(643,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(644,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(645,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[602]) ).
thf(646,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(647,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[603]) ).
thf(648,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(649,plain,
! [SV46: $i,SV21: $i] :
( ( ~ ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(650,plain,
! [SV148: $i,SV119: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV119 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV148 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV119 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(651,plain,
! [SV120: $i,SV135: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV135 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV120 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV135 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(652,plain,
! [SV143: $i,SV121: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV121 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV143 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[608]) ).
thf(653,plain,
! [SV136: $i,SV122: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Ebool_2E_2F_5C_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV122 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV136 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV136 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(654,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(655,plain,
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(656,plain,
( ( ( ~ $true ) = $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[612]) ).
thf(657,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[613]) ).
thf(658,plain,
! [SV149: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(659,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(660,plain,
! [SV123: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV123 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(661,plain,
! [SV150: $i,SV124: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV124 ) @ ( s @ tyop_2Emin_2Ebool @ SV150 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV124 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(662,plain,
! [SV125: $i,SV137: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV137 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV125 ) @ ( s @ tyop_2Emin_2Ebool @ SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(663,plain,
! [SV127: $i,SV138: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV138 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV127 ) @ ( s @ tyop_2Emin_2Ebool @ SV138 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[620]) ).
thf(664,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(665,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[622]) ).
thf(666,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(667,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ~ ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[623]) ).
thf(668,plain,
! [SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[624]) ).
thf(669,plain,
! [SV23: $i] :
( ( ! [SY186: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY186 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[625]) ).
thf(670,plain,
! [SV23: $i] :
( ( ! [SY188: $i,SY189: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY188 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(671,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(672,plain,
! [SV23: $i] :
( ( ! [SY192: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY192 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[628]) ).
thf(673,plain,
! [SV140: $i,SV23: $i,SV145: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[629]) ).
thf(674,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(675,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(676,plain,
! [SV151: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SV151 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(677,plain,
! [SV152: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV152 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[633]) ).
thf(678,plain,
! [SV129: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV129 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV129 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[634]) ).
thf(679,plain,
! [SV146: $i,SV131: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV131 ) @ ( s @ tyop_2Emin_2Ebool @ SV146 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV131 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(680,plain,
! [SV141: $i,SV132: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV132 ) @ ( s @ tyop_2Emin_2Ebool @ SV141 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV141 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[637]) ).
thf(681,plain,
! [SV134: $i,SV142: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV142 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( 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 ) ) @ c_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV134 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV142 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(682,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(683,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(684,plain,
! [SV46: $i,SV21: $i] :
( ( ! [SY227: $i,SY228: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY227 )
!= ( s @ tyop_2Emin_2Ebool @ SY228 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY228 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(685,plain,
! [SV46: $i,SV21: $i] :
( ( ! [SY229: $i,SY230: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY229 )
!= ( s @ tyop_2Emin_2Ebool @ SY230 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY229 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY230 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(686,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[646]) ).
thf(687,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(688,plain,
! [SV46: $i,SV21: $i] :
( ( ! [SY234: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX3: $i] :
( ( s @ tyop_2Emin_2Ebool @ SY234 )
!= ( s @ tyop_2Emin_2Ebool @ SX3 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY234 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(689,plain,
! [SV46: $i,SV21: $i] :
( ( ! [SY236: $i,SY237: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SY236 )
!= ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY237 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY236 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(690,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(691,plain,
( ( ~ ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[654]) ).
thf(692,plain,
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(693,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(694,plain,
( ( $true = $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(695,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(696,plain,
! [SV149: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(697,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(698,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(699,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[665]) ).
thf(700,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY308: $i,SY309: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SY308 )
!= ( s @ SV22 @ SY309 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY308 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY309 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[666]) ).
thf(701,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY310: $i,SY311: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SY310 )
!= ( s @ SV22 @ SY311 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY310 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY311 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(702,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(703,plain,
! [SV23: $i,SV153: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(704,plain,
! [SV154: $i,SV23: $i] :
( ( ! [SY334: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY334 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(705,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(706,plain,
! [SV23: $i,SV155: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(707,plain,
! [SV140: $i,SV23: $i,SV145: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(708,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(709,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[674]) ).
thf(710,plain,
( ( ~ ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(711,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[675]) ).
thf(712,plain,
! [SV151: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SV151 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV151 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(713,plain,
! [SV152: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV152 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(714,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[682]) ).
thf(715,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[683]) ).
thf(716,plain,
! [SV156: $i,SV46: $i,SV21: $i] :
( ( ! [SY336: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV156 )
!= ( s @ tyop_2Emin_2Ebool @ SY336 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(717,plain,
! [SV157: $i,SV46: $i,SV21: $i] :
( ( ! [SY337: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV157 )
!= ( s @ tyop_2Emin_2Ebool @ SY337 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY337 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(718,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[686]) ).
thf(719,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[687]) ).
thf(720,plain,
! [SV158: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SY338: $i] :
( ( s @ tyop_2Emin_2Ebool @ SV158 )
!= ( s @ tyop_2Emin_2Ebool @ SY338 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(721,plain,
! [SV159: $i,SV46: $i,SV21: $i] :
( ( ! [SY339: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV159 )
!= ( s @ tyop_2Emin_2Ebool @ SY339 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY339 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(722,plain,
( ( ~ ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[690]) ).
thf(723,plain,
( ( ~ ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[691]) ).
thf(724,plain,
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(725,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[693]) ).
thf(726,plain,
! [SV149: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV149 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(727,plain,
! [SV160: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV160 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(728,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(729,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[699]) ).
thf(730,plain,
! [SV93: $i,SV71: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY340: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SY340 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY340 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(731,plain,
! [SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ! [SY341: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SY341 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY341 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(732,plain,
! [SV23: $i,SV163: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV163 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(733,plain,
! [SV23: $i,SV153: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[703]) ).
thf(734,plain,
! [SV154: $i,SV23: $i,SV164: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(735,plain,
! [SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[705]) ).
thf(736,plain,
! [SV23: $i,SV155: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(737,plain,
! [SV145: $i,SV140: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[707]) ).
thf(738,plain,
( ( ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[708]) ).
thf(739,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[709]) ).
thf(740,plain,
( ( ! [SX0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ SX0 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[710]) ).
thf(741,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(742,plain,
! [SV151: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV151 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV151 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[712]) ).
thf(743,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[714]) ).
thf(744,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[715]) ).
thf(745,plain,
! [SV165: $i,SV156: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV156 )
!= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(746,plain,
! [SV166: $i,SV157: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV157 )
!= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(747,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[718]) ).
thf(748,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[719]) ).
thf(749,plain,
! [SV158: $i,SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SY338: $i] :
( ( s @ tyop_2Emin_2Ebool @ SV158 )
!= ( s @ tyop_2Emin_2Ebool @ SY338 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[720]) ).
thf(750,plain,
! [SV167: $i,SV159: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV159 )
!= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(751,plain,
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[722]) ).
thf(752,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(753,plain,
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[724]) ).
thf(754,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[725]) ).
thf(755,plain,
! [SV160: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV160 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(756,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(757,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[729]) ).
thf(758,plain,
! [SV93: $i,SV71: $i,SV168: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SV168 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[730]) ).
thf(759,plain,
! [SV169: $i,SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) )
| ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(760,plain,
! [SV23: $i,SV163: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV163 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(761,plain,
! [SV153: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[733]) ).
thf(762,plain,
! [SV154: $i,SV23: $i,SV164: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[734]) ).
thf(763,plain,
! [SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[735]) ).
thf(764,plain,
! [SV155: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(765,plain,
! [SV145: $i,SV140: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(766,plain,
! [SV170: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SV170 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(767,plain,
! [SV171: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV171 ) )
| ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(768,plain,
! [SV172: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV172 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[740]) ).
thf(769,plain,
! [SV173: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV173 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV173 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(770,plain,
! [SV151: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV151 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV151 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(771,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(772,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[744]) ).
thf(773,plain,
! [SV165: $i,SV156: $i,SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV156 )
!= ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[745]) ).
thf(774,plain,
! [SV166: $i,SV157: $i,SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV157 )
!= ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[746]) ).
thf(775,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[747]) ).
thf(776,plain,
! [SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(777,plain,
! [SV158: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ! [SY338: $i] :
( ( s @ tyop_2Emin_2Ebool @ SV158 )
!= ( s @ tyop_2Emin_2Ebool @ SY338 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(778,plain,
! [SV167: $i,SV159: $i,SV46: $i,SV21: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV159 )
!= ( s @ tyop_2Emin_2Ebool @ SV167 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[750]) ).
thf(779,plain,
( ( ~ ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(780,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[751]) ).
thf(781,plain,
( ( ~ ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(782,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[752]) ).
thf(783,plain,
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(784,plain,
( ( ~ ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[753]) ).
thf(785,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[754]) ).
thf(786,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(787,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(788,plain,
! [SV93: $i,SV71: $i,SV168: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SV168 ) ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[758]) ).
thf(789,plain,
! [SV169: $i,SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
| ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[759]) ).
thf(790,plain,
! [SV163: $i,SV23: $i,SV174: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV174 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV163 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[760]) ).
thf(791,plain,
! [SV153: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[761]) ).
thf(792,plain,
! [SV154: $i,SV23: $i,SV164: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[762]) ).
thf(793,plain,
! [SV23: $i] :
( ( ( ! [SX1: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[763]) ).
thf(794,plain,
! [SV155: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[764]) ).
thf(795,plain,
! [SV23: $i,SV145: $i,SV140: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(796,plain,
! [SV170: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
!= ( s @ tyop_2Emin_2Ebool @ SV170 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV170 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[766]) ).
thf(797,plain,
! [SV171: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV171 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV171 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(798,plain,
! [SV172: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV172 )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV172 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(799,plain,
! [SV173: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV173 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV173 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[769]) ).
thf(800,plain,
! [SV46: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(801,plain,
! [SV21: $i,SV46: $i] :
( ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[772]) ).
thf(802,plain,
! [SV165: $i,SV156: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
!= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(803,plain,
! [SV166: $i,SV157: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
!= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[774]) ).
thf(804,plain,
! [SV21: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[775]) ).
thf(805,plain,
! [SV46: $i,SV21: $i] :
( ( ( ! [SX2: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(806,plain,
! [SV158: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ! [SY338: $i] :
( ( s @ tyop_2Emin_2Ebool @ SV158 )
!= ( s @ tyop_2Emin_2Ebool @ SY338 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(807,plain,
! [SV167: $i,SV159: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
!= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
!= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(808,plain,
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[779]) ).
thf(809,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[780]) ).
thf(810,plain,
( ( ~ ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[781]) ).
thf(811,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(812,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(813,plain,
( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(814,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true )
| ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[785]) ).
thf(815,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[786]) ).
thf(816,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[787]) ).
thf(817,plain,
! [SV93: $i,SV71: $i,SV168: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SV168 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[788]) ).
thf(818,plain,
! [SV169: $i,SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
| ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) ) )
= $true )
| ( ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[789]) ).
thf(819,plain,
! [SV153: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[791]) ).
thf(820,plain,
! [SV164: $i,SV154: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[792]) ).
thf(821,plain,
! [SV23: $i,SV175: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV175 ) ) )
= $true )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(822,plain,
! [SV23: $i,SV155: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[794]) ).
thf(823,plain,
! [SV23: $i,SV145: $i,SV140: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV140 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV145 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[795]) ).
thf(824,plain,
! [SV170: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV170 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV170 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[796]) ).
thf(825,plain,
! [SV171: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV171 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 )
= ( s @ tyop_2Emin_2Ebool @ SV171 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(826,plain,
! [SV172: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV172 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV172 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[798]) ).
thf(827,plain,
! [SV173: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV173 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV173 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(828,plain,
! [SV21: $i,SV46: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(829,plain,
! [SV21: $i,SV46: $i,SV176: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV176 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[801]) ).
thf(830,plain,
! [SV165: $i,SV156: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
!= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[802]) ).
thf(831,plain,
! [SV166: $i,SV157: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
!= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(832,plain,
! [SV46: $i,SV21: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[804]) ).
thf(833,plain,
! [SV46: $i,SV21: $i,SV177: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV177 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[805]) ).
thf(834,plain,
! [SV46: $i,SV21: $i,SV178: $i,SV158: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV158 )
!= ( s @ tyop_2Emin_2Ebool @ SV178 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[806]) ).
thf(835,plain,
! [SV167: $i,SV159: $i,SV46: $i,SV21: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
!= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[807]) ).
thf(836,plain,
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(837,plain,
! [SV179: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[809]) ).
thf(838,plain,
( ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[810]) ).
thf(839,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[811]) ).
thf(840,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(841,plain,
( ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[813]) ).
thf(842,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(843,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV47: $i,SV57: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ! [SY304: $i,SY305: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY304 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY305 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(844,plain,
! [SV57: $i,SV47: $i,SV93: $i,SV71: $i,SV22: $i] :
( ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) ) )
= $true )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[816]) ).
thf(845,plain,
! [SV93: $i,SV71: $i,SV168: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SV168 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(846,plain,
! [SV169: $i,SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
!= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
= $true )
| ( ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(847,plain,
! [SV23: $i,SV153: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[819]) ).
thf(848,plain,
! [SV164: $i,SV154: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[820]) ).
thf(849,plain,
! [SV23: $i,SV175: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV175 ) )
= $false )
| ( ( ! [SX1: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(850,plain,
! [SV23: $i,SV155: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[822]) ).
thf(851,plain,
! [SV21: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[828]) ).
thf(852,plain,
! [SV21: $i,SV46: $i,SV176: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV176 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[829]) ).
thf(853,plain,
! [SV46: $i,SV21: $i,SV165: $i,SV156: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[830]) ).
thf(854,plain,
! [SV46: $i,SV21: $i,SV166: $i,SV157: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[831]) ).
thf(855,plain,
! [SV46: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(856,plain,
! [SV46: $i,SV21: $i,SV177: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV177 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[833]) ).
thf(857,plain,
! [SV46: $i,SV21: $i,SV178: $i,SV158: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV158 )
= ( s @ tyop_2Emin_2Ebool @ SV178 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[834]) ).
thf(858,plain,
! [SV46: $i,SV21: $i,SV167: $i,SV159: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(859,plain,
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(860,plain,
( ( ~ ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(861,plain,
! [SV179: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(862,plain,
( ( ~ ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(863,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[838]) ).
thf(864,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(865,plain,
! [SV180: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV180 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(866,plain,
! [SV181: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV181 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(867,plain,
! [SV93: $i,SV57: $i,SV182: $i,SV71: $i,SV47: $i,SV22: $i] :
( ( ( ! [SY342: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV182 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY342 ) ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[843]) ).
thf(868,plain,
! [SV93: $i,SV71: $i,SV22: $i,SV47: $i,SV57: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ! [SY306: $i,SY307: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SY306 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY307 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(869,plain,
! [SV93: $i,SV71: $i,SV168: $i,SV161: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ SV22 @ SV161 )
!= ( s @ SV22 @ SV168 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(870,plain,
! [SV169: $i,SV162: $i,SV93: $i,SV71: $i,SV22: $i,SV57: $i,SV47: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ SV71 )
!= ( s @ SV22 @ SV93 ) )
= $true )
| ( ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(871,plain,
! [SV153: $i,SV23: $i,SV183: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV183 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV153 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[847]) ).
thf(872,plain,
! [SV164: $i,SV154: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(873,plain,
! [SV23: $i,SV175: $i,SV184: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV184 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV175 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(874,plain,
! [SV23: $i,SV155: $i,SV185: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV185 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV155 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[850]) ).
thf(875,plain,
! [SV21: $i,SV46: $i,SV186: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV186 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(876,plain,
! [SV21: $i,SV176: $i,SV46: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV176 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[852]) ).
thf(877,plain,
! [SV156: $i,SV165: $i,SV46: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[853]) ).
thf(878,plain,
! [SV21: $i,SV166: $i,SV46: $i,SV157: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[854]) ).
thf(879,plain,
! [SV46: $i,SV21: $i,SV187: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV187 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(880,plain,
! [SV46: $i,SV177: $i,SV21: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) ) )
= $true )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV177 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[856]) ).
thf(881,plain,
! [SV178: $i,SV158: $i,SV21: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV158 )
= ( s @ tyop_2Emin_2Ebool @ SV178 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[857]) ).
thf(882,plain,
! [SV46: $i,SV159: $i,SV21: $i,SV167: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[858]) ).
thf(883,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[859]) ).
thf(884,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(885,plain,
! [SV179: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(886,plain,
( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[862]) ).
thf(887,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[863]) ).
thf(888,plain,
( ( ( ! [SX0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[864]) ).
thf(889,plain,
! [SV180: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV180 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[865]) ).
thf(890,plain,
! [SV188: $i,SV93: $i,SV57: $i,SV182: $i,SV71: $i,SV47: $i,SV22: $i] :
( ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV182 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV188 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(891,plain,
! [SV93: $i,SV57: $i,SV189: $i,SV71: $i,SV47: $i,SV22: $i] :
( ( ( ! [SY343: $i] :
( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV189 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SY343 ) ) ) ) )
= $true )
| ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(892,plain,
! [SV93: $i,SV71: $i,SV47: $i,SV57: $i,SV168: $i,SV161: $i,SV22: $i] :
( ( ( ( s @ SV22 @ SV161 )
= ( s @ SV22 @ SV168 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV161 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV168 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(893,plain,
! [SV169: $i,SV162: $i,SV57: $i,SV47: $i,SV93: $i,SV71: $i,SV22: $i] :
( ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ SV162 )
!= ( s @ SV22 @ SV169 ) )
= $true )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(894,plain,
! [SV164: $i,SV23: $i,SV154: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV154 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV164 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[872]) ).
thf(895,plain,
! [SV21: $i,SV176: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV176 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[876]) ).
thf(896,plain,
! [SV156: $i,SV21: $i,SV165: $i,SV46: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[877]) ).
thf(897,plain,
! [SV21: $i,SV166: $i,SV46: $i,SV157: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(898,plain,
! [SV46: $i,SV177: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( ! [SX2: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV177 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[880]) ).
thf(899,plain,
! [SV178: $i,SV46: $i,SV158: $i,SV21: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV158 )
= ( s @ tyop_2Emin_2Ebool @ SV178 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[881]) ).
thf(900,plain,
! [SV46: $i,SV159: $i,SV21: $i,SV167: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(901,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(902,plain,
! [SV190: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[884]) ).
thf(903,plain,
! [SV179: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[885]) ).
thf(904,plain,
( ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(905,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(906,plain,
! [SV191: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV191 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[888]) ).
thf(907,plain,
! [SV192: $i,SV93: $i,SV57: $i,SV189: $i,SV71: $i,SV47: $i,SV22: $i] :
( ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV189 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV192 ) ) ) )
= $true )
| ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[891]) ).
thf(908,plain,
! [SV93: $i,SV71: $i,SV57: $i,SV47: $i,SV169: $i,SV162: $i,SV22: $i] :
( ( ( ( s @ SV22 @ SV162 )
= ( s @ SV22 @ SV169 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV47 )
= ( s @ tyop_2Emin_2Ebool @ SV57 ) )
= $false )
| ( ( ( s @ SV22 @ SV71 )
= ( s @ SV22 @ SV93 ) )
= $false )
| ( ( ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV47 ) @ ( s @ SV22 @ SV71 ) @ ( s @ SV22 @ SV162 ) ) )
= ( s @ SV22 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV57 ) @ ( s @ SV22 @ SV93 ) @ ( s @ SV22 @ SV169 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(909,plain,
! [SV21: $i,SV176: $i,SV46: $i,SV193: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV193 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV176 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[895]) ).
thf(910,plain,
! [SV156: $i,SV21: $i,SV165: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV156 )
= ( s @ tyop_2Emin_2Ebool @ SV165 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[896]) ).
thf(911,plain,
! [SV21: $i,SV157: $i,SV166: $i,SV46: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[897]) ).
thf(912,plain,
! [SV46: $i,SV177: $i,SV21: $i,SV194: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV194 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV177 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(913,plain,
! [SV178: $i,SV46: $i,SV158: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV158 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV158 )
= ( s @ tyop_2Emin_2Ebool @ SV178 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[899]) ).
thf(914,plain,
! [SV46: $i,SV167: $i,SV159: $i,SV21: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(915,plain,
! [SV195: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV195 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(916,plain,
! [SV190: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(917,plain,
! [SV179: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV179 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[903]) ).
thf(918,plain,
! [SV196: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV196 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[904]) ).
thf(919,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(920,plain,
! [SV191: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV191 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(921,plain,
! [SV21: $i,SV157: $i,SV166: $i,SV46: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV157 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV157 )
= ( s @ tyop_2Emin_2Ebool @ SV166 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[911]) ).
thf(922,plain,
! [SV46: $i,SV167: $i,SV159: $i,SV21: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV21 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV159 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV21 )
= ( s @ tyop_2Emin_2Ebool @ SV46 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV159 )
= ( s @ tyop_2Emin_2Ebool @ SV167 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[914]) ).
thf(923,plain,
! [SV190: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV190 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(924,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[125,923,922,921,920,919,918,917,915,913,912,910,909,908,907,894,892,890,889,879,875,874,873,871,866,840,827,826,825,824,823,790,770,755,726,713,695,694,681,680,679,678,663,662,661,660,653,652,651,650,641,639,638,635,621,619,607,597,596,591,590,589,583,582,581,576,568,555,545,543,531,524,523,468,467,463,462,449,448,440,438,437,419,349,348,346,302,299,298,297,250,249,247,246,245,244,243,242,241,238,237,213,193,168,157]) ).
thf(925,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP013+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Oct 6 11:08:29 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.32/1.87
% 9.32/1.87 No.of.Axioms: 45
% 9.32/1.87
% 9.32/1.87 Length.of.Defs: 0
% 9.32/1.87
% 9.32/1.87 Contains.Choice.Funs: false
% 9.32/1.87 ............................................................
% 9.32/1.87
% 9.32/1.87 ********************************
% 9.32/1.87 * All subproblems solved! *
% 9.32/1.87 ********************************
% 9.32/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:924,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 9.32/1.87
% 9.32/1.87 %**** Beginning of derivation protocol ****
% 9.32/1.87 % SZS output start CNFRefutation
% See solution above
% 9.32/1.88
% 9.32/1.88 %**** End of derivation protocol ****
% 9.32/1.88 %**** no. of clauses in derivation: 925 ****
% 9.32/1.88 %**** clause counter: 924 ****
% 9.32/1.88
% 9.32/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:46,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:924,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------