%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP015+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 : n001.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 10:23:23 AM UTC 2026
% Result : Theorem 16.73s 3.11s
% Output : CNFRefutation 16.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 50
% Syntax : Number of formulae : 615 ( 367 unt; 0 typ; 0 def)
% Number of atoms : 3615 (1491 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 17614 (1346 ~;1062 |; 27 &;15080 @)
% ( 54 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 31 con; 0-4 aty)
% Number of variables : 1588 ( 0 ^;1585 !; 3 ?;1588 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_app_2E2,type,
app_2E2: $i > $i > $i ).
thf(tp_c_2Earithmetic_2EMOD_2E0,type,
c_2Earithmetic_2EMOD_2E0: $i ).
thf(tp_c_2Earithmetic_2EMOD_2E2,type,
c_2Earithmetic_2EMOD_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_2Ebool_2Ethe__value_2E0,type,
c_2Ebool_2Ethe__value_2E0: $i ).
thf(tp_c_2Einteger_2ENum_2E0,type,
c_2Einteger_2ENum_2E0: $i ).
thf(tp_c_2Einteger_2ENum_2E1,type,
c_2Einteger_2ENum_2E1: $i > $i ).
thf(tp_c_2Einteger_2Eint__lt_2E0,type,
c_2Einteger_2Eint__lt_2E0: $i ).
thf(tp_c_2Einteger_2Eint__lt_2E2,type,
c_2Einteger_2Eint__lt_2E2: $i > $i > $i ).
thf(tp_c_2Einteger_2Eint__neg_2E0,type,
c_2Einteger_2Eint__neg_2E0: $i ).
thf(tp_c_2Einteger_2Eint__neg_2E1,type,
c_2Einteger_2Eint__neg_2E1: $i > $i ).
thf(tp_c_2Einteger_2Eint__of__num_2E0,type,
c_2Einteger_2Eint__of__num_2E0: $i ).
thf(tp_c_2Einteger_2Eint__of__num_2E1,type,
c_2Einteger_2Eint__of__num_2E1: $i > $i ).
thf(tp_c_2Einteger__word_2Ei2w_2E0,type,
c_2Einteger__word_2Ei2w_2E0: $i ).
thf(tp_c_2Einteger__word_2Ei2w_2E1,type,
c_2Einteger__word_2Ei2w_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_2Enum_2E0_2E0,type,
c_2Enum_2E0_2E0: $i ).
thf(tp_c_2Eprim__rec_2E_3C_2E0,type,
c_2Eprim__rec_2E_3C_2E0: $i ).
thf(tp_c_2Eprim__rec_2E_3C_2E2,type,
c_2Eprim__rec_2E_3C_2E2: $i > $i > $i ).
thf(tp_c_2Ewords_2Edimword_2E0,type,
c_2Ewords_2Edimword_2E0: $i ).
thf(tp_c_2Ewords_2Edimword_2E1,type,
c_2Ewords_2Edimword_2E1: $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_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_SY218,type,
sK2_SY218: $i > $i > $i > $i > $i ).
thf(tp_sK3_SY196,type,
sK3_SY196: $i > $i > $i ).
thf(tp_sK4_SY187,type,
sK4_SY187: $i > $i > $i ).
thf(tp_tyop_2Ebool_2Eitself,type,
tyop_2Ebool_2Eitself: $i > $i ).
thf(tp_tyop_2Efcp_2Ecart,type,
tyop_2Efcp_2Ecart: $i > $i > $i ).
thf(tp_tyop_2Einteger_2Eint,type,
tyop_2Einteger_2Eint: $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] :
( ( 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_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2EWORD__NEG__0) ).
thf(2,axiom,
! [A_27a: $i,V0m_2E0: $i,V1n_2E0: $i] :
( ( ( 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_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) )
<=> ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ewords_2En2w__11) ).
thf(3,axiom,
! [V0n_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Eprim__rec_2ENOT__LESS__0) ).
thf(4,axiom,
! [A_27a: $i,V0i_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_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_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__def) ).
thf(5,axiom,
! [V0n_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2ENUM__OF__INT) ).
thf(6,axiom,
! [V0n_2E0: $i,V1m_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) )
<=> ( ( ( s @ tyop_2Enum_2Enum @ V0n_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ V1m_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__LT__CALCULATE) ).
thf(7,axiom,
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger_2EINT__NEG__0) ).
thf(8,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(9,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(10,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(11,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(12,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(13,axiom,
! [V0t_2E0: $i] :
( ( 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_2EFALSITY) ).
thf(14,axiom,
! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EIMP__ANTISYM__AX) ).
thf(15,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(16,axiom,
! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_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 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2Etyop_2Efcp_2Ecart_28tyop_2Emin_2Ebool_2CA_27a_29) ).
thf(17,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(18,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Einteger_2Eint__lt_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Einteger_2Eint__lt_2E2) ).
thf(19,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ebool_2Eitself @ A_27a ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Edimword_2E0 ) @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ewords_2Edimword_2E1_2Emono_2EA_27a) ).
thf(20,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_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_2EMOD_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Earithmetic_2EMOD_2E2) ).
thf(21,axiom,
! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_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_2Eprim__rec_2E_3C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Eprim__rec_2E_3C_2E2) ).
thf(22,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(23,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(24,axiom,
! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__neg_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger_2Eint__neg_2E1) ).
thf(25,axiom,
! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Einteger__word_2Ei2w_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger__word_2Ei2w_2E1_2Emono_2EA_27a) ).
thf(26,axiom,
! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__of__num_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger_2Eint__of__num_2E1) ).
thf(27,axiom,
! [X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Einteger_2ENum_2E1) ).
thf(28,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(29,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(30,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(31,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(32,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(33,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(34,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(35,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(36,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(37,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(38,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(39,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(40,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(41,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(42,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(43,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(44,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(45,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(46,axiom,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
thf(47,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(48,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(49,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(50,conjecture,
! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Einteger__word_2Ei2w__0) ).
thf(51,negated_conjecture,
( ( ! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[50]) ).
thf(52,plain,
( ( ! [A_27a: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[51]) ).
thf(53,plain,
( ( ! [A_27a: $i] :
( ( 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_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(54,plain,
( ( ! [A_27a: $i,V0m_2E0: $i,V1n_2E0: $i] :
( ( ( 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_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) )
<=> ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(55,plain,
( ( ! [V0n_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(56,plain,
( ( ! [A_27a: $i,V0i_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_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_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(57,plain,
( ( ! [V0n_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(58,plain,
( ( ! [V0n_2E0: $i,V1m_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) )
<=> ( ( ( s @ tyop_2Enum_2Enum @ V0n_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ V1m_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(59,plain,
( ( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(60,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)],[8]) ).
thf(61,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)],[9]) ).
thf(62,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)],[10]) ).
thf(63,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)],[11]) ).
thf(64,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)],[12]) ).
thf(65,plain,
( ( ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(66,plain,
( ( ! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(67,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(68,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_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 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(69,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)],[17]) ).
thf(70,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Einteger_2Eint__lt_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(71,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ebool_2Eitself @ A_27a ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Edimword_2E0 ) @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(72,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_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_2EMOD_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(73,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_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_2Eprim__rec_2E_3C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(74,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)],[22]) ).
thf(75,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)],[23]) ).
thf(76,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__neg_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(77,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Einteger__word_2Ei2w_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(78,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__of__num_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(79,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(80,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)],[28]) ).
thf(81,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)],[29]) ).
thf(82,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)],[30]) ).
thf(83,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)],[31]) ).
thf(84,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)],[32]) ).
thf(85,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)],[33]) ).
thf(86,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)],[34]) ).
thf(87,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)],[35]) ).
thf(88,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)],[36]) ).
thf(89,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)],[37]) ).
thf(90,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)],[38]) ).
thf(91,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)],[39]) ).
thf(92,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)],[40]) ).
thf(93,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)],[41]) ).
thf(94,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)],[42]) ).
thf(95,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)],[43]) ).
thf(96,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)],[44]) ).
thf(97,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)],[45]) ).
thf(98,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(99,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(100,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)],[48]) ).
thf(101,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)],[49]) ).
thf(102,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[52]) ).
thf(103,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[102]) ).
thf(104,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(copy,[status(thm)],[101]) ).
thf(105,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(copy,[status(thm)],[100]) ).
thf(106,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(107,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(108,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)],[97]) ).
thf(109,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)],[96]) ).
thf(110,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)],[95]) ).
thf(111,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)],[94]) ).
thf(112,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(copy,[status(thm)],[93]) ).
thf(113,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(copy,[status(thm)],[92]) ).
thf(114,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(copy,[status(thm)],[91]) ).
thf(115,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(copy,[status(thm)],[90]) ).
thf(116,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(copy,[status(thm)],[89]) ).
thf(117,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(copy,[status(thm)],[88]) ).
thf(118,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(copy,[status(thm)],[87]) ).
thf(119,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(copy,[status(thm)],[86]) ).
thf(120,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(copy,[status(thm)],[85]) ).
thf(121,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(copy,[status(thm)],[84]) ).
thf(122,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(copy,[status(thm)],[83]) ).
thf(123,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(copy,[status(thm)],[82]) ).
thf(124,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)],[81]) ).
thf(125,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)],[80]) ).
thf(126,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[79]) ).
thf(127,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__of__num_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[78]) ).
thf(128,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) ) @ c_2Einteger__word_2Ei2w_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[77]) ).
thf(129,plain,
( ( ! [X0_2E0: $i] :
( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__neg_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[76]) ).
thf(130,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)],[75]) ).
thf(131,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)],[74]) ).
thf(132,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_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_2Eprim__rec_2E_3C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[73]) ).
thf(133,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_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_2EMOD_2E0 ) @ ( s @ tyop_2Enum_2Enum @ X0_2E0 ) ) ) @ ( s @ tyop_2Enum_2Enum @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[72]) ).
thf(134,plain,
( ( ! [A_27a: $i,X0_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ebool_2Eitself @ A_27a ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Edimword_2E0 ) @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ X0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[71]) ).
thf(135,plain,
( ( ! [X0_2E0: $i,X1_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Einteger_2Eint__lt_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ X0_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ X1_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[70]) ).
thf(136,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)],[69]) ).
thf(137,plain,
( ( ! [A_27a: $i,X0_2E0: $i,X1_2E0: $i,X2_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_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 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( 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_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ X0_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X1_2E0 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ X2_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[68]) ).
thf(138,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[67]) ).
thf(139,plain,
( ( ! [V0t1_2E0: $i,V1t2_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 ) ) )
=> ( ( s @ tyop_2Emin_2Ebool @ V0t1_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V1t2_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[66]) ).
thf(140,plain,
( ( ! [V0t_2E0: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[65]) ).
thf(141,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(copy,[status(thm)],[64]) ).
thf(142,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(copy,[status(thm)],[63]) ).
thf(143,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(copy,[status(thm)],[62]) ).
thf(144,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(copy,[status(thm)],[61]) ).
thf(145,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(copy,[status(thm)],[60]) ).
thf(146,plain,
( ( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[59]) ).
thf(147,plain,
( ( ! [V0n_2E0: $i,V1m_2E0: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) )
& ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) )
<=> ( ( ( s @ tyop_2Enum_2Enum @ V0n_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ V1m_2E0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
& ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V1m_2E0 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[58]) ).
thf(148,plain,
( ( ! [V0n_2E0: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[57]) ).
thf(149,plain,
( ( ! [A_27a: $i,V0i_2E0: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_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_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ V0i_2E0 ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[56]) ).
thf(150,plain,
( ( ! [V0n_2E0: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ V0n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[55]) ).
thf(151,plain,
( ( ! [A_27a: $i,V0m_2E0: $i,V1n_2E0: $i] :
( ( ( 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_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) ) ) )
<=> ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V0m_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ V1n_2E0 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ A_27a ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[54]) ).
thf(152,plain,
( ( ! [A_27a: $i] :
( ( 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_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[53]) ).
thf(153,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(154,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 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( 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(unfold_def,[status(thm)],[115]) ).
thf(155,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ~ ( 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)],[114]) ).
thf(156,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SX0 ) @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SX0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SX1 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SX0 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SX1 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX0 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SX1 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(157,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(158,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 ) ) ) ) )
| ~ ( ~ ( 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)],[123]) ).
thf(159,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 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
| ~ ( ~ ~ ( ~ ( 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(unfold_def,[status(thm)],[112]) ).
thf(160,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 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( 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)],[113]) ).
thf(161,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( ( 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_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SX0 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SX0 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
| ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SX1 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SX0 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SX2 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SX0 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( 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_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(162,plain,
( ( ! [SX0: $i,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 ) ) )
| ~ ( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX2 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SX0 @ SX1 ) @ ( s @ SX0 @ SX2 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(163,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_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 ) ) ) ) )
| ~ ( ~ ~ ! [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(unfold_def,[status(thm)],[118]) ).
thf(164,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 ) ) ) ) )
| ~ ( ~ ( 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 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(165,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_5C_2F_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( 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 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(166,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SX1 )
!= ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) )
| ( ( s @ SX0 @ SX3 )
= ( s @ SX0 @ SX4 ) ) ) )
| ~ ( ~ ~ ( 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 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(167,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX2 ) )
| ( ( s @ SX0 @ SX2 )
= ( s @ SX0 @ SX1 ) ) )
| ~ ( ( ( s @ SX0 @ SX2 )
!= ( s @ SX0 @ SX1 ) )
| ( ( s @ SX0 @ SX1 )
= ( s @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(168,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 ) ) ) ) )
| ~ ( ~ ! [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_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ tyop_2Emin_2Ebool ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(169,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ~ ( ~ ( 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 @ SX1 ) ) )
| ( 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 @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(170,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(171,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_2Emin_2E_3D_3D_3E_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) @ ( 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 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(172,plain,
( ( ! [SX0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ( ( s @ SX0 @ SX1 )
!= ( s @ SX0 @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SX0 @ SX1 )
= ( s @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(174,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 ) ) ) ) )
| ~ ( ~ ( 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(unfold_def,[status(thm)],[121]) ).
thf(175,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 ) )
| ~ ! [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)],[145]) ).
thf(176,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ! [SX4: $i] :
( ( s @ SX1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ SX1 ) @ SX2 ) @ ( s @ SX0 @ SX4 ) ) )
= ( s @ SX1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SX0 @ SX1 ) @ SX3 ) @ ( s @ SX0 @ SX4 ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SX0 @ SX1 ) @ SX2 )
= ( s @ ( tyop_2Emin_2Efun @ SX0 @ SX1 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(177,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(178,plain,
! [SV1: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV1 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV1 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(179,plain,
! [SV2: $i] :
( ( ! [SY109: $i] :
( ( s @ SV2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV2 @ SV2 ) @ combin_i_2E0 ) @ ( s @ SV2 @ SY109 ) ) )
= ( s @ SV2 @ SY109 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(180,plain,
! [SV3: $i] :
( ( ! [SY110: $i,SY111: $i,SY112: $i] :
( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SY110 @ SV3 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ ( tyop_2Emin_2Efun @ SY110 @ SV3 ) ) @ combin_k_2E0 ) @ ( s @ SV3 @ SY111 ) ) ) @ ( s @ SY110 @ SY112 ) ) )
= ( s @ SV3 @ SY111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(181,plain,
! [SV4: $i] :
( ( ! [SY113: $i,SY114: $i,SY115: $i,SY116: $i,SY117: $i] :
( ( s @ SY114 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SY114 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SY113 ) @ ( tyop_2Emin_2Efun @ SV4 @ SY114 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SY113 @ SY114 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SY113 ) @ ( tyop_2Emin_2Efun @ SV4 @ SY114 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SY113 @ SY114 ) ) @ SY115 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SY113 ) @ SY116 ) ) ) @ ( s @ SV4 @ SY117 ) ) )
= ( s @ SY114 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SY113 @ SY114 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SY113 @ SY114 ) ) @ SY115 ) @ ( s @ SV4 @ SY117 ) ) ) @ ( s @ SY113 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SY113 ) @ SY116 ) @ ( s @ SV4 @ SY117 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(182,plain,
! [SV5: $i] :
( ( ! [SY118: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ SY118 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ SY118 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(183,plain,
! [SV6: $i] :
( ( ! [SY119: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SY119 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SY119 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(184,plain,
! [SV7: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV7 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Enum_2Enum ) @ c_2Einteger_2ENum_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(185,plain,
! [SV8: $i] :
( ( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV8 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__of__num_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(186,plain,
! [SV9: $i] :
( ( ! [SY120: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ SY120 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) ) @ c_2Einteger__word_2Ei2w_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SY120 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(187,plain,
! [SV10: $i] :
( ( ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV10 ) ) )
= ( s @ tyop_2Einteger_2Eint @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Einteger_2Eint ) @ c_2Einteger_2Eint__neg_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SV10 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(188,plain,
! [SV11: $i] :
( ( ! [SY121: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY121 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SY121 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(189,plain,
! [SV12: $i] :
( ( ! [SY122: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ SY122 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ SY122 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(190,plain,
! [SV13: $i] :
( ( ! [SY123: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV13 ) @ ( s @ tyop_2Enum_2Enum @ SY123 ) ) )
= ( 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_2Eprim__rec_2E_3C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV13 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SY123 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(191,plain,
! [SV14: $i] :
( ( ! [SY124: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV14 ) @ ( s @ tyop_2Enum_2Enum @ SY124 ) ) )
= ( 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_2EMOD_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV14 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SY124 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(192,plain,
! [SV15: $i] :
( ( ! [SY125: $i] :
( ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV15 ) @ SY125 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ebool_2Eitself @ SV15 ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Edimword_2E0 ) @ ( s @ ( tyop_2Ebool_2Eitself @ SV15 ) @ SY125 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(193,plain,
! [SV16: $i] :
( ( ! [SY126: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ SV16 ) @ ( s @ tyop_2Einteger_2Eint @ SY126 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Einteger_2Eint__lt_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SV16 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ SY126 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(194,plain,
! [SV17: $i] :
( ( ! [SY127: $i,SY128: $i,SY129: $i] :
( ( s @ SV17 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY127 ) @ ( s @ SV17 @ SY128 ) @ ( s @ SV17 @ SY129 ) ) )
= ( s @ SV17 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SY127 ) ) ) @ ( s @ SV17 @ SY128 ) ) ) @ ( s @ SV17 @ SY129 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(195,plain,
! [SV18: $i] :
( ( ! [SY130: $i,SY131: $i,SY132: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY130 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY131 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY132 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SY130 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY131 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY132 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(196,plain,
! [SV19: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV19 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(197,plain,
! [SV20: $i] :
( ( ! [SY133: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ SY133 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ SY133 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ SY133 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ SY133 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(198,plain,
! [SV21: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV21 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(199,plain,
! [SV22: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV22 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV22 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV22 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(200,plain,
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ sK1_A_27a ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(201,plain,
! [SV23: $i] :
( ( ! [SY134: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SY134 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY134 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY134 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SY134 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(202,plain,
! [SV24: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(203,plain,
! [SV25: $i] :
( ( ! [SY135: $i] :
~ ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SY135 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SY135 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SY135 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) ) ) ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SY135 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(204,plain,
! [SV26: $i] :
( ( ! [SY136: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY136 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY136 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SY136 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(205,plain,
! [SV27: $i] :
( ( ! [SY137: $i,SY138: $i] :
~ ( ~ ( ( ( s @ SV27 @ SY137 )
!= ( s @ SV27 @ SY138 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SY137 ) ) ) @ ( s @ SV27 @ SY138 ) ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SY137 ) ) ) @ ( s @ SV27 @ SY138 ) ) ) )
| ( ( s @ SV27 @ SY137 )
= ( s @ SV27 @ SY138 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(206,plain,
! [SV28: $i] :
( ( ! [SY139: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SY139 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY139 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY139 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SY139 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(207,plain,
! [SV29: $i] :
( ( ! [SY140: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SY140 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY140 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY140 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SY140 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(208,plain,
! [SV30: $i] :
( ( ! [SY141: $i,SY142: $i] :
~ ( ~ ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY141 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY142 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY141 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY142 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
| ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY141 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY142 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY141 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY142 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(209,plain,
! [SV31: $i] :
( ( ! [SY143: $i,SY144: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SY143 ) @ ( s @ SV31 @ SY144 ) ) ) )
| ( ( s @ SV31 @ SY143 )
= ( s @ SV31 @ SY144 ) ) )
| ~ ( ( ( s @ SV31 @ SY143 )
!= ( s @ SV31 @ SY144 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SY143 ) @ ( s @ SV31 @ SY144 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[162]) ).
thf(210,plain,
! [SV32: $i] :
( ( ! [SY145: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SY145 ) ) ) )
| ~ ! [SY146: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SY145 ) @ ( s @ SV32 @ SY146 ) ) ) ) )
| ~ ( ~ ~ ! [SY147: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SY145 ) @ ( s @ SV32 @ SY147 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SY145 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[163]) ).
thf(211,plain,
! [SV33: $i] :
( ( ! [SY148: $i] :
~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY148 ) ) )
| ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY148 ) ) ) ) )
| ~ ( ~ ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY148 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY148 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[164]) ).
thf(212,plain,
! [SV34: $i] :
( ( ! [SY149: $i] :
~ ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY149 ) ) )
| ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY149 ) ) ) ) )
| ~ ( ~ ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY149 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY149 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(213,plain,
! [SV35: $i] :
( ( ! [SY150: $i,SY151: $i,SY152: $i,SY153: $i,SY154: $i,SY155: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SY150 )
!= ( s @ tyop_2Emin_2Ebool @ SY151 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY151 ) )
| ( ( s @ SV35 @ SY152 )
= ( s @ SV35 @ SY153 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY151 ) )
| ( ( s @ SV35 @ SY154 )
= ( s @ SV35 @ SY155 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY150 ) @ ( s @ SV35 @ SY152 ) @ ( s @ SV35 @ SY154 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY151 ) @ ( s @ SV35 @ SY153 ) @ ( s @ SV35 @ SY155 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(214,plain,
! [SV36: $i] :
( ( ! [SY156: $i,SY157: $i] :
~ ( ~ ( ( ( s @ SV36 @ SY156 )
!= ( s @ SV36 @ SY157 ) )
| ( ( s @ SV36 @ SY157 )
= ( s @ SV36 @ SY156 ) ) )
| ~ ( ( ( s @ SV36 @ SY157 )
!= ( s @ SV36 @ SY156 ) )
| ( ( s @ SV36 @ SY156 )
= ( s @ SV36 @ SY157 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(215,plain,
! [SV37: $i] :
( ( ! [SY158: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SY158 ) ) ) )
| ! [SY159: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SY158 ) @ ( s @ SV37 @ SY159 ) ) ) ) )
| ~ ( ~ ! [SY160: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SY158 ) @ ( s @ SV37 @ SY160 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SY158 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[168]) ).
thf(216,plain,
! [SV38: $i] :
( ( ! [SY161: $i,SY162: $i] :
~ ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY161 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY162 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY161 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY162 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY161 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY162 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY161 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY162 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[169]) ).
thf(217,plain,
! [SV39: $i] :
( ( ! [SY163: $i] :
( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY163 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY163 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SY163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[170]) ).
thf(218,plain,
! [SV40: $i] :
( ( ! [SY164: $i] :
~ ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY164 ) ) )
| ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY164 ) ) ) ) )
| ~ ( ~ ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SY164 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY164 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(219,plain,
! [SV41: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[172]) ).
thf(220,plain,
! [SV42: $i] :
( ( ! [SY165: $i] :
~ ( ~ ( ( ( s @ SV42 @ SY165 )
!= ( s @ SV42 @ SY165 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SV42 @ SY165 )
= ( s @ SV42 @ SY165 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(221,plain,
! [SV43: $i] :
( ( ~ ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
| ( 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 @ SV43 ) ) ) ) )
| ~ ( ~ ( 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 @ SV43 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(222,plain,
! [SV44: $i] :
( ( ~ ( ~ ! [SY166: $i,SY167: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SY166 ) @ ( s @ SV44 @ SY167 ) ) )
= ( s @ SV44 @ SY166 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SY168 ) @ ( s @ SV44 @ SY169 ) ) )
= ( s @ SV44 @ SY169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(223,plain,
! [SV45: $i] :
( ( ! [SY170: $i,SY171: $i,SY172: $i] :
( ~ ! [SY173: $i] :
( ( s @ SY170 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SY170 ) @ SY171 ) @ ( s @ SV45 @ SY173 ) ) )
= ( s @ SY170 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SY170 ) @ SY172 ) @ ( s @ SV45 @ SY173 ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SY170 ) @ SY171 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SY170 ) @ SY172 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(224,plain,
! [SV1: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV1 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV1 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(225,plain,
! [SV46: $i,SV2: $i] :
( ( ( s @ SV2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV2 @ SV2 ) @ combin_i_2E0 ) @ ( s @ SV2 @ SV46 ) ) )
= ( s @ SV2 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(226,plain,
! [SV47: $i,SV3: $i] :
( ( ! [SY174: $i,SY175: $i] :
( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) ) @ combin_k_2E0 ) @ ( s @ SV3 @ SY174 ) ) ) @ ( s @ SV47 @ SY175 ) ) )
= ( s @ SV3 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(227,plain,
! [SV48: $i,SV4: $i] :
( ( ! [SY176: $i,SY177: $i,SY178: $i,SY179: $i] :
( ( s @ SY176 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SY176 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SY176 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SY176 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SY176 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SY176 ) ) @ SY177 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY178 ) ) ) @ ( s @ SV4 @ SY179 ) ) )
= ( s @ SY176 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV48 @ SY176 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SY176 ) ) @ SY177 ) @ ( s @ SV4 @ SY179 ) ) ) @ ( s @ SV48 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY178 ) @ ( s @ SV4 @ SY179 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(228,plain,
! [SV49: $i,SV5: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ SV49 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_21_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV5 @ tyop_2Emin_2Ebool ) @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(229,plain,
! [SV50: $i,SV6: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SV50 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ tyop_2Emin_2Ebool ) @ c_2Ebool_2E_3F_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV6 @ tyop_2Emin_2Ebool ) @ SV50 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(230,plain,
! [SV51: $i,SV9: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV51 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV9 ) ) @ c_2Einteger__word_2Ei2w_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SV51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(231,plain,
! [SV52: $i,SV11: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV52 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV11 ) ) @ c_2Ewords_2En2w_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV52 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(232,plain,
! [SV53: $i,SV12: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ SV53 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) ) @ c_2Ewords_2Eword__2comp_2E0 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV12 ) @ SV53 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(233,plain,
! [SV54: $i,SV13: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV13 ) @ ( s @ tyop_2Enum_2Enum @ SV54 ) ) )
= ( 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_2Eprim__rec_2E_3C_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV13 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SV54 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(234,plain,
! [SV55: $i,SV14: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV14 ) @ ( s @ tyop_2Enum_2Enum @ SV55 ) ) )
= ( 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_2EMOD_2E0 ) @ ( s @ tyop_2Enum_2Enum @ SV14 ) ) ) @ ( s @ tyop_2Enum_2Enum @ SV55 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(235,plain,
! [SV56: $i,SV15: $i] :
( ( ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV15 ) @ SV56 ) ) )
= ( s @ tyop_2Enum_2Enum @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Ebool_2Eitself @ SV15 ) @ tyop_2Enum_2Enum ) @ c_2Ewords_2Edimword_2E0 ) @ ( s @ ( tyop_2Ebool_2Eitself @ SV15 ) @ SV56 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(236,plain,
! [SV57: $i,SV16: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ SV16 ) @ ( s @ tyop_2Einteger_2Eint @ SV57 ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ ( tyop_2Emin_2Efun @ tyop_2Einteger_2Eint @ tyop_2Emin_2Ebool ) ) @ c_2Einteger_2Eint__lt_2E0 ) @ ( s @ tyop_2Einteger_2Eint @ SV16 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ SV57 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(237,plain,
! [SV58: $i,SV17: $i] :
( ( ! [SY180: $i,SY181: $i] :
( ( s @ SV17 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV58 ) @ ( s @ SV17 @ SY180 ) @ ( s @ SV17 @ SY181 ) ) )
= ( s @ SV17 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV58 ) ) ) @ ( s @ SV17 @ SY180 ) ) ) @ ( s @ SV17 @ SY181 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(238,plain,
! [SV59: $i,SV18: $i] :
( ( ! [SY182: $i,SY183: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV59 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY182 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY183 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV59 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY182 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY183 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(239,plain,
! [SV60: $i,SV20: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Einteger__word_2Ei2w_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV60 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ SV60 ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2Eword__2comp_2E1 @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV60 ) ) ) ) ) ) ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV20 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ ( c_2Einteger_2ENum_2E1 @ ( s @ tyop_2Einteger_2Eint @ SV60 ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(240,plain,
! [SV21: $i] :
( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV21 ) @ ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(241,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(242,plain,
! [SV24: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[202]) ).
thf(243,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(244,plain,
! [SV63: $i,SV26: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(245,plain,
! [SV64: $i,SV27: $i] :
( ( ! [SY184: $i] :
~ ( ~ ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SY184 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SY184 ) ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SY184 ) ) ) )
| ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SY184 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(246,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(247,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(248,plain,
! [SV67: $i,SV30: $i] :
( ( ! [SY185: $i] :
~ ( ~ ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY185 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY185 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
| ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SY185 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SY185 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(249,plain,
! [SV68: $i,SV31: $i] :
( ( ! [SY186: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SY186 ) ) ) )
| ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SY186 ) ) )
| ~ ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SY186 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SY186 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(250,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
| ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
| ~ ( ~ ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(251,plain,
! [SV70: $i,SV33: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
| ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
| ~ ( ~ ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(252,plain,
! [SV71: $i,SV34: $i] :
( ( ~ ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
| ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) )
| ~ ( ~ ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(253,plain,
! [SV35: $i,SV72: $i] :
( ( ! [SY189: $i,SY190: $i,SY191: $i,SY192: $i,SY193: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ( ( s @ SV35 @ SY190 )
= ( s @ SV35 @ SY191 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY189 ) )
| ( ( s @ SV35 @ SY192 )
= ( s @ SV35 @ SY193 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SY190 ) @ ( s @ SV35 @ SY192 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SY189 ) @ ( s @ SV35 @ SY191 ) @ ( s @ SV35 @ SY193 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(254,plain,
! [SV73: $i,SV36: $i] :
( ( ! [SY194: $i] :
~ ( ~ ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SY194 ) )
| ( ( s @ SV36 @ SY194 )
= ( s @ SV36 @ SV73 ) ) )
| ~ ( ( ( s @ SV36 @ SY194 )
!= ( s @ SV36 @ SV73 ) )
| ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SY194 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(255,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
| ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) )
| ~ ( ~ ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(256,plain,
! [SV75: $i,SV38: $i] :
( ( ! [SY197: $i] :
~ ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY197 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY197 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY197 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY197 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(257,plain,
! [SV76: $i,SV39: $i] :
( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(258,plain,
! [SV77: $i,SV40: $i] :
( ( ~ ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
| ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) )
| ~ ( ~ ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(259,plain,
! [SV41: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[219]) ).
thf(260,plain,
! [SV78: $i,SV42: $i] :
( ( ~ ( ~ ( ( ( s @ SV42 @ SV78 )
!= ( s @ SV42 @ SV78 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(261,plain,
! [SV43: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
| ( 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 @ SV43 ) ) ) ) )
| ~ ( ~ ( 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 @ SV43 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(262,plain,
! [SV44: $i] :
( ( ~ ! [SY166: $i,SY167: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SY166 ) @ ( s @ SV44 @ SY167 ) ) )
= ( s @ SV44 @ SY166 ) )
| ~ ! [SY168: $i,SY169: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SY168 ) @ ( s @ SV44 @ SY169 ) ) )
= ( s @ SV44 @ SY169 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(263,plain,
! [SV45: $i,SV79: $i] :
( ( ! [SY198: $i,SY199: $i] :
( ~ ! [SY200: $i] :
( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY198 ) @ ( s @ SV45 @ SY200 ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY199 ) @ ( s @ SV45 @ SY200 ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY198 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(264,plain,
! [SV80: $i,SV47: $i,SV3: $i] :
( ( ! [SY201: $i] :
( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) ) @ combin_k_2E0 ) @ ( s @ SV3 @ SV80 ) ) ) @ ( s @ SV47 @ SY201 ) ) )
= ( s @ SV3 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(265,plain,
! [SV48: $i,SV4: $i,SV81: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i] :
( ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SY202 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY203 ) ) ) @ ( s @ SV4 @ SY204 ) ) )
= ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SY202 ) @ ( s @ SV4 @ SY204 ) ) ) @ ( s @ SV48 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY203 ) @ ( s @ SV4 @ SY204 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(266,plain,
! [SV82: $i,SV58: $i,SV17: $i] :
( ( ! [SY205: $i] :
( ( s @ SV17 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV58 ) @ ( s @ SV17 @ SV82 ) @ ( s @ SV17 @ SY205 ) ) )
= ( s @ SV17 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV58 ) ) ) @ ( s @ SV17 @ SV82 ) ) ) @ ( s @ SV17 @ SY205 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(267,plain,
! [SV83: $i,SV59: $i,SV18: $i] :
( ( ! [SY206: $i] :
( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV59 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV83 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY206 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV59 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV83 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SY206 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(268,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(269,plain,
! [SV24: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(270,plain,
! [SV24: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(271,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(272,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(273,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ~ ( ~ ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SV84 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
| ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(274,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(275,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(276,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ~ ( ~ ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
| ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(277,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
| ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) ) )
| ~ ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SV86 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(278,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
| ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
| ~ ( ~ ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(279,plain,
! [SV70: $i,SV33: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
| ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
| ~ ( ~ ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[251]) ).
thf(280,plain,
! [SV71: $i,SV34: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
| ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) )
| ~ ( ~ ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[252]) ).
thf(281,plain,
! [SV35: $i,SV87: $i,SV72: $i] :
( ( ! [SY207: $i,SY208: $i,SY209: $i,SY210: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SY207 )
= ( s @ SV35 @ SY208 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SY209 )
= ( s @ SV35 @ SY210 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SY207 ) @ ( s @ SV35 @ SY209 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SY208 ) @ ( s @ SV35 @ SY210 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(282,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ~ ( ~ ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SV88 ) )
| ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) ) )
| ~ ( ( ( s @ SV36 @ SV88 )
!= ( s @ SV36 @ SV73 ) )
| ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(283,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
| ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) )
| ~ ( ~ ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[255]) ).
thf(284,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(285,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(286,plain,
! [SV77: $i,SV40: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
| ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) )
| ~ ( ~ ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(287,plain,
! [SV41: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(288,plain,
! [SV78: $i,SV42: $i] :
( ( ~ ( ( ( s @ SV42 @ SV78 )
!= ( s @ SV42 @ SV78 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[260]) ).
thf(289,plain,
! [SV43: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
| ( 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 @ SV43 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(290,plain,
! [SV43: $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 @ SV43 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[261]) ).
thf(291,plain,
! [SV44: $i] :
( ( ~ ! [SY166: $i,SY167: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SY166 ) @ ( s @ SV44 @ SY167 ) ) )
= ( s @ SV44 @ SY166 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(292,plain,
! [SV44: $i] :
( ( ~ ! [SY168: $i,SY169: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SY168 ) @ ( s @ SV44 @ SY169 ) ) )
= ( s @ SV44 @ SY169 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[262]) ).
thf(293,plain,
! [SV90: $i,SV45: $i,SV79: $i] :
( ( ! [SY211: $i] :
( ~ ! [SY212: $i] :
( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 ) @ ( s @ SV45 @ SY212 ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY211 ) @ ( s @ SV45 @ SY212 ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SY211 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(294,plain,
! [SV91: $i,SV80: $i,SV47: $i,SV3: $i] :
( ( ( s @ SV3 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV3 @ ( tyop_2Emin_2Efun @ SV47 @ SV3 ) ) @ combin_k_2E0 ) @ ( s @ SV3 @ SV80 ) ) ) @ ( s @ SV47 @ SV91 ) ) )
= ( s @ SV3 @ SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(295,plain,
! [SV92: $i,SV48: $i,SV4: $i,SV81: $i] :
( ( ! [SY213: $i,SY214: $i] :
( ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY213 ) ) ) @ ( s @ SV4 @ SY214 ) ) )
= ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) @ ( s @ SV4 @ SY214 ) ) ) @ ( s @ SV48 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SY213 ) @ ( s @ SV4 @ SY214 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(296,plain,
! [SV93: $i,SV82: $i,SV58: $i,SV17: $i] :
( ( ( s @ SV17 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV58 ) @ ( s @ SV17 @ SV82 ) @ ( s @ SV17 @ SV93 ) ) )
= ( s @ SV17 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ SV17 @ ( tyop_2Emin_2Efun @ SV17 @ SV17 ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV58 ) ) ) @ ( s @ SV17 @ SV82 ) ) ) @ ( s @ SV17 @ SV93 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(297,plain,
! [SV94: $i,SV83: $i,SV59: $i,SV18: $i] :
( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV59 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV83 ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV94 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ tyop_2Emin_2Ebool @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Emin_2Efun @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) ) ) ) @ c_2Ebool_2ECOND_2E0 ) @ ( s @ tyop_2Emin_2Ebool @ SV59 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV83 ) ) ) @ ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV18 ) @ SV94 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(298,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(299,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[268]) ).
thf(300,plain,
! [SV24: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(301,plain,
! [SV24: $i] :
( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(302,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(303,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[271]) ).
thf(304,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(305,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ~ ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SV84 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
| ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(306,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(307,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[274]) ).
thf(308,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(309,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[275]) ).
thf(310,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ~ ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
| ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(311,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
| ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) ) )
| ~ ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SV86 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[277]) ).
thf(312,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
| ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(313,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ( ~ ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[278]) ).
thf(314,plain,
! [SV70: $i,SV33: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
| ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(315,plain,
! [SV70: $i,SV33: $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[279]) ).
thf(316,plain,
! [SV71: $i,SV34: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
| ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(317,plain,
! [SV71: $i,SV34: $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[280]) ).
thf(318,plain,
! [SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ! [SY215: $i,SY216: $i,SY217: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SY215 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SY216 )
= ( s @ SV35 @ SY217 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SY216 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SY215 ) @ ( s @ SV35 @ SY217 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(319,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ~ ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SV88 ) )
| ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) ) )
| ~ ( ( ( s @ SV36 @ SV88 )
!= ( s @ SV36 @ SV73 ) )
| ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(320,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
| ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(321,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ( ~ ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(322,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(323,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(324,plain,
! [SV77: $i,SV40: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
| ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(325,plain,
! [SV77: $i,SV40: $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[286]) ).
thf(326,plain,
! [SV78: $i,SV42: $i] :
( ( ~ ( ( ( s @ SV42 @ SV78 )
!= ( s @ SV42 @ SV78 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(327,plain,
! [SV78: $i,SV42: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[288]) ).
thf(328,plain,
! [SV43: $i] :
( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
| ( 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 @ SV43 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[289]) ).
thf(329,plain,
! [SV43: $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 @ SV43 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[290]) ).
thf(330,plain,
! [SV44: $i] :
( ( ! [SY166: $i,SY167: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SY166 ) @ ( s @ SV44 @ SY167 ) ) )
= ( s @ SV44 @ SY166 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[291]) ).
thf(331,plain,
! [SV44: $i] :
( ( ! [SY168: $i,SY169: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SY168 ) @ ( s @ SV44 @ SY169 ) ) )
= ( s @ SV44 @ SY169 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[292]) ).
thf(332,plain,
! [SV96: $i,SV90: $i,SV45: $i,SV79: $i] :
( ( ~ ! [SY218: $i] :
( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 ) @ ( s @ SV45 @ SY218 ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) @ ( s @ SV45 @ SY218 ) ) ) )
| ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(333,plain,
! [SV97: $i,SV92: $i,SV48: $i,SV4: $i,SV81: $i] :
( ( ! [SY219: $i] :
( ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SV97 ) ) ) @ ( s @ SV4 @ SY219 ) ) )
= ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) @ ( s @ SV4 @ SY219 ) ) ) @ ( s @ SV48 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SV97 ) @ ( s @ SV4 @ SY219 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(334,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[298]) ).
thf(335,plain,
! [SV61: $i,SV23: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(336,plain,
! [SV24: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[300]) ).
thf(337,plain,
! [SV24: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(338,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(339,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[303]) ).
thf(340,plain,
! [SV63: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(341,plain,
! [SV26: $i,SV63: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[304]) ).
thf(342,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ~ ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SV84 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(343,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
| ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[305]) ).
thf(344,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(345,plain,
! [SV65: $i,SV28: $i] :
( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[307]) ).
thf(346,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[308]) ).
thf(347,plain,
! [SV66: $i,SV29: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(348,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ~ ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(349,plain,
! [SV85: $i,SV30: $i,SV67: $i] :
( ( ~ ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[310]) ).
thf(350,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
| ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(351,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ~ ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SV86 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[311]) ).
thf(352,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
| ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(353,plain,
! [SV69: $i,SV32: $i] :
( ( ~ ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(354,plain,
! [SV70: $i,SV33: $i] :
( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
| ( 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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(355,plain,
! [SV70: $i,SV33: $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(356,plain,
! [SV71: $i,SV34: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
| ( 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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[316]) ).
thf(357,plain,
! [SV71: $i,SV34: $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(358,plain,
! [SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ! [SY220: $i,SY221: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SY220 )
= ( s @ SV35 @ SY221 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SY220 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SY221 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(359,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ~ ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SV88 ) )
| ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(360,plain,
! [SV73: $i,SV88: $i,SV36: $i] :
( ( ~ ( ( ( s @ SV36 @ SV88 )
!= ( s @ SV36 @ SV73 ) )
| ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[319]) ).
thf(361,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
| ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[320]) ).
thf(362,plain,
! [SV74: $i,SV37: $i] :
( ( ~ ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[321]) ).
thf(363,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[322]) ).
thf(364,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[322]) ).
thf(365,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[323]) ).
thf(366,plain,
! [SV77: $i,SV40: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
| ( 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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[324]) ).
thf(367,plain,
! [SV77: $i,SV40: $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(368,plain,
! [SV78: $i,SV42: $i] :
( ( ( ( s @ SV42 @ SV78 )
!= ( s @ SV42 @ SV78 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(369,plain,
! [SV78: $i,SV42: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[327]) ).
thf(370,plain,
! [SV43: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) )
= $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 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[328]) ).
thf(371,plain,
! [SV43: $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 @ SV43 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(372,plain,
! [SV99: $i,SV44: $i] :
( ( ! [SY222: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SV99 ) @ ( s @ SV44 @ SY222 ) ) )
= ( s @ SV44 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(373,plain,
! [SV100: $i,SV44: $i] :
( ( ! [SY223: $i] :
( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SV100 ) @ ( s @ SV44 @ SY223 ) ) )
= ( s @ SV44 @ SY223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(374,plain,
! [SV96: $i,SV90: $i,SV45: $i,SV79: $i] :
( ( ( ~ ! [SY218: $i] :
( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 ) @ ( s @ SV45 @ SY218 ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) @ ( s @ SV45 @ SY218 ) ) ) ) )
= $true )
| ( ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(375,plain,
! [SV101: $i,SV97: $i,SV92: $i,SV48: $i,SV4: $i,SV81: $i] :
( ( ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ ( tyop_2Emin_2Efun @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ ( tyop_2Emin_2Efun @ SV4 @ SV81 ) ) ) @ combin_s_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) ) ) @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SV97 ) ) ) @ ( s @ SV4 @ SV101 ) ) )
= ( s @ SV81 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ ( tyop_2Emin_2Efun @ SV48 @ SV81 ) ) @ SV92 ) @ ( s @ SV4 @ SV101 ) ) ) @ ( s @ SV48 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV4 @ SV48 ) @ SV97 ) @ ( s @ SV4 @ SV101 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(376,plain,
! [SV61: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(377,plain,
! [SV61: $i,SV23: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(378,plain,
! [SV24: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[336]) ).
thf(379,plain,
! [SV24: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(380,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
| ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[338]) ).
thf(381,plain,
! [SV63: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[340]) ).
thf(382,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(383,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SV84 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[342]) ).
thf(384,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
| ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[343]) ).
thf(385,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[344]) ).
thf(386,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(387,plain,
! [SV66: $i,SV29: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[346]) ).
thf(388,plain,
! [SV66: $i,SV29: $i] :
( ( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(389,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(390,plain,
! [SV85: $i,SV30: $i,SV67: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
| ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(391,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
| ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(392,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SV86 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(393,plain,
! [SV69: $i,SV32: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) ) )
= $true )
| ( ( ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(394,plain,
! [SV69: $i,SV32: $i] :
( ( ( ~ ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[353]) ).
thf(395,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[354]) ).
thf(396,plain,
! [SV70: $i,SV33: $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[355]) ).
thf(397,plain,
! [SV71: $i,SV34: $i] :
( ( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[356]) ).
thf(398,plain,
! [SV71: $i,SV34: $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[357]) ).
thf(399,plain,
! [SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ! [SY224: $i] :
( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SY224 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SY224 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(400,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SV88 ) )
| ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(401,plain,
! [SV73: $i,SV88: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV88 )
!= ( s @ SV36 @ SV73 ) )
| ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(402,plain,
! [SV74: $i,SV37: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) ) )
= $true )
| ( ( ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(403,plain,
! [SV74: $i,SV37: $i] :
( ( ( ~ ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[362]) ).
thf(404,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(405,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(406,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(407,plain,
! [SV77: $i,SV40: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(408,plain,
! [SV77: $i,SV40: $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(409,plain,
! [SV78: $i,SV42: $i] :
( ( ( ( s @ SV42 @ SV78 )
!= ( s @ SV42 @ SV78 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(410,plain,
! [SV78: $i,SV42: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(411,plain,
! [SV43: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) )
= $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 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[370]) ).
thf(412,plain,
! [SV43: $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 @ SV43 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(413,plain,
! [SV103: $i,SV99: $i,SV44: $i] :
( ( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) @ ( s @ SV44 @ SV99 ) @ ( s @ SV44 @ SV103 ) ) )
= ( s @ SV44 @ SV99 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(414,plain,
! [SV104: $i,SV100: $i,SV44: $i] :
( ( ( s @ SV44 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) @ ( s @ SV44 @ SV100 ) @ ( s @ SV44 @ SV104 ) ) )
= ( s @ SV44 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(415,plain,
! [SV96: $i,SV90: $i,SV45: $i,SV79: $i] :
( ( ( ! [SY218: $i] :
( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 ) @ ( s @ SV45 @ SY218 ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) @ ( s @ SV45 @ SY218 ) ) ) ) )
= $false )
| ( ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[374]) ).
thf(416,plain,
! [SV61: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(417,plain,
! [SV61: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(418,plain,
! [SV24: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(419,plain,
! [SV24: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[379]) ).
thf(420,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(421,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(422,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(423,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(424,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ( ( s @ SV27 @ SV64 )
!= ( s @ SV27 @ SV84 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(425,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) ) )
= $true )
| ( ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(426,plain,
! [SV65: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[385]) ).
thf(427,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(428,plain,
! [SV66: $i,SV29: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[387]) ).
thf(429,plain,
! [SV66: $i,SV29: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[388]) ).
thf(430,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
!= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[389]) ).
thf(431,plain,
! [SV85: $i,SV30: $i,SV67: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
!= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
= $true )
| ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(432,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) ) )
= $true )
| ( ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[391]) ).
thf(433,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ( ( s @ SV31 @ SV68 )
!= ( s @ SV31 @ SV86 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(434,plain,
! [SV69: $i,SV32: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $false )
| ( ( ~ ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(435,plain,
! [SV69: $i,SV32: $i] :
( ( ( ~ ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(436,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(437,plain,
! [SV70: $i,SV33: $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(438,plain,
! [SV71: $i,SV34: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
= $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(439,plain,
! [SV71: $i,SV34: $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(440,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
| ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(441,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV73 )
!= ( s @ SV36 @ SV88 ) )
= $true )
| ( ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(442,plain,
! [SV73: $i,SV88: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV88 )
!= ( s @ SV36 @ SV73 ) )
= $true )
| ( ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[401]) ).
thf(443,plain,
! [SV74: $i,SV37: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
= $false )
| ( ( ! [SY195: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY195 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(444,plain,
! [SV74: $i,SV37: $i] :
( ( ( ! [SY196: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SY196 ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[403]) ).
thf(445,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(446,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[405]) ).
thf(447,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[406]) ).
thf(448,plain,
! [SV77: $i,SV40: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(449,plain,
! [SV77: $i,SV40: $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(450,plain,
! [SV78: $i,SV42: $i] :
( ( ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(451,plain,
! [SV78: $i,SV42: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( ( s @ SV42 @ SV78 )
= ( s @ SV42 @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(452,plain,
! [SV43: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
= $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 @ SV43 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[411]) ).
thf(453,plain,
! [SV43: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV43 ) )
= $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 @ SV43 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(454,plain,
! [SV96: $i,SV90: $i,SV45: $i,SV79: $i] :
( ( ( ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 ) @ ( s @ SV45 @ ( sK2_SY218 @ SV96 @ SV90 @ SV45 @ SV79 ) ) ) )
= ( s @ SV79 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) @ ( s @ SV45 @ ( sK2_SY218 @ SV96 @ SV90 @ SV45 @ SV79 ) ) ) ) )
= $false )
| ( ( ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV90 )
= ( s @ ( tyop_2Emin_2Efun @ SV45 @ SV79 ) @ SV96 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[415]) ).
thf(455,plain,
! [SV61: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[416]) ).
thf(456,plain,
! [SV61: $i,SV23: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(457,plain,
! [SV23: $i,SV61: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(458,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[420]) ).
thf(459,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(460,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(461,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(462,plain,
! [SV63: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(463,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(464,plain,
! [SV84: $i,SV64: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV27 @ ( tyop_2Emin_2Efun @ SV27 @ tyop_2Emin_2Ebool ) ) @ c_2Emin_2E_3D_2E0 ) @ ( s @ SV27 @ SV64 ) ) ) @ ( s @ SV27 @ SV84 ) ) ) )
= $false )
| ( ( ( s @ SV27 @ SV64 )
= ( s @ SV27 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(465,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[426]) ).
thf(466,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(467,plain,
! [SV66: $i,SV29: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(468,plain,
! [SV66: $i,SV29: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV29 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(469,plain,
! [SV29: $i,SV66: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV66 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV29 ) @ ( s @ tyop_2Emin_2Ebool @ SV66 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(470,plain,
! [SV85: $i,SV67: $i,SV30: $i] :
( ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
= $false )
| ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(471,plain,
! [SV85: $i,SV30: $i,SV67: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV67 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) )
= ( s @ tyop_2Enum_2Enum @ ( c_2Earithmetic_2EMOD_2E2 @ ( s @ tyop_2Enum_2Enum @ SV85 ) @ ( s @ tyop_2Enum_2Enum @ ( c_2Ewords_2Edimword_2E1 @ ( s @ ( tyop_2Ebool_2Eitself @ SV30 ) @ c_2Ebool_2Ethe__value_2E0 ) ) ) ) ) )
= $false )
| ( ( ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV67 ) ) )
= ( s @ ( tyop_2Efcp_2Ecart @ tyop_2Emin_2Ebool @ SV30 ) @ ( c_2Ewords_2En2w_2E1 @ ( s @ tyop_2Enum_2Enum @ SV85 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(472,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
= $false )
| ( ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[432]) ).
thf(473,plain,
! [SV86: $i,SV68: $i,SV31: $i] :
( ( ( ( s @ SV31 @ SV68 )
= ( s @ SV31 @ SV86 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV31 @ SV68 ) @ ( s @ SV31 @ SV86 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(474,plain,
! [SV69: $i,SV32: $i] :
( ( ( ! [SY187: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY187 ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[434]) ).
thf(475,plain,
! [SV69: $i,SV32: $i] :
( ( ( ! [SY188: $i] :
~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SY188 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(476,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[436]) ).
thf(477,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[437]) ).
thf(478,plain,
! [SV71: $i,SV34: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
= $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(479,plain,
! [SV34: $i,SV71: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) )
= $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[438]) ).
thf(480,plain,
! [SV71: $i,SV34: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV34 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV71 ) )
= $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 @ SV34 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV71 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(481,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[440]) ).
thf(482,plain,
! [SV88: $i,SV73: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) )
= $false )
| ( ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[441]) ).
thf(483,plain,
! [SV73: $i,SV88: $i,SV36: $i] :
( ( ( ( s @ SV36 @ SV88 )
= ( s @ SV36 @ SV73 ) )
= $false )
| ( ( ( s @ SV36 @ SV73 )
= ( s @ SV36 @ SV88 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(484,plain,
! [SV106: $i,SV74: $i,SV37: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ SV106 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(485,plain,
! [SV74: $i,SV37: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) @ ( s @ SV37 @ ( sK3_SY196 @ SV74 @ SV37 ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_21_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV37 @ tyop_2Emin_2Ebool ) @ SV74 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[444]) ).
thf(486,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[445]) ).
thf(487,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(488,plain,
! [SV76: $i,SV39: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(489,plain,
! [SV39: $i,SV76: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[447]) ).
thf(490,plain,
! [SV77: $i,SV40: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(491,plain,
! [SV40: $i,SV77: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[448]) ).
thf(492,plain,
! [SV77: $i,SV40: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(493,plain,
! [SV61: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV61 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(494,plain,
! [SV61: $i,SV23: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV23 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV23 ) @ ( s @ tyop_2Emin_2Ebool @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[456]) ).
thf(495,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(496,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(497,plain,
! [SV26: $i,SV63: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(498,plain,
! [SV63: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(499,plain,
! [SV26: $i,SV63: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(500,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(501,plain,
! [SV28: $i,SV65: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[465]) ).
thf(502,plain,
! [SV65: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(503,plain,
! [SV69: $i,SV32: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ ( sK4_SY187 @ SV69 @ SV32 ) ) ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[474]) ).
thf(504,plain,
! [SV107: $i,SV69: $i,SV32: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SV107 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(505,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[476]) ).
thf(506,plain,
! [SV70: $i,SV33: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(507,plain,
! [SV33: $i,SV70: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[477]) ).
thf(508,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ~ ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(509,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(510,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(511,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(512,plain,
! [SV75: $i,SV38: $i,SV89: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[487]) ).
thf(513,plain,
! [SV76: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(514,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(515,plain,
! [SV77: $i,SV40: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(516,plain,
! [SV77: $i,SV40: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV77 ) )
= $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 @ SV40 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV77 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[492]) ).
thf(517,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(518,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
!= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[495]) ).
thf(519,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(520,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[496]) ).
thf(521,plain,
! [SV26: $i,SV63: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV26 )
= ( s @ tyop_2Emin_2Ebool @ SV63 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(522,plain,
! [SV65: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(523,plain,
! [SV28: $i,SV65: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(524,plain,
! [SV65: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(525,plain,
! [SV69: $i,SV32: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ ( sK4_SY187 @ SV69 @ SV32 ) ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(526,plain,
! [SV107: $i,SV69: $i,SV32: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) @ ( s @ SV32 @ SV107 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_3F_2E1 @ ( s @ ( tyop_2Emin_2Efun @ SV32 @ tyop_2Emin_2Ebool ) @ SV69 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(527,plain,
! [SV70: $i,SV33: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(528,plain,
! [SV70: $i,SV33: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(529,plain,
! [SV33: $i,SV70: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(530,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[508]) ).
thf(531,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(532,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(533,plain,
! [SV75: $i,SV38: $i,SV89: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(534,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(535,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(536,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(537,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(538,plain,
! [SV76: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[514]) ).
thf(539,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV25 ) @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(540,plain,
! [SV62: $i,SV25: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
= ( s @ tyop_2Emin_2Ebool @ ( c_2Eprim__rec_2E_3C_2E2 @ ( s @ tyop_2Enum_2Enum @ SV62 ) @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(541,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
| ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[519]) ).
thf(542,plain,
! [SV62: $i,SV25: $i] :
( ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(543,plain,
! [SV28: $i,SV65: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV65 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV28 ) @ ( s @ tyop_2Emin_2Ebool @ SV65 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[524]) ).
thf(544,plain,
! [SV33: $i,SV70: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV70 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
= $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 @ SV33 ) ) ) @ ( s @ tyop_2Emin_2Ebool @ SV70 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(545,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ~ ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[530]) ).
thf(546,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[531]) ).
thf(547,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true )
| ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(548,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[533]) ).
thf(549,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[534]) ).
thf(550,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(551,plain,
! [SV39: $i,SV76: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(552,plain,
! [SV76: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[536]) ).
thf(553,plain,
! [SV39: $i,SV76: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(554,plain,
! [SV62: $i,SV25: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) ) )
= $true )
| ( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(555,plain,
! [SV62: $i,SV25: $i] :
( ( ( ~ ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[542]) ).
thf(556,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ~ ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(557,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(558,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(559,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(560,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(561,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[549]) ).
thf(562,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(563,plain,
! [SV39: $i,SV76: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV39 )
= ( s @ tyop_2Emin_2Ebool @ SV76 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[551]) ).
thf(564,plain,
! [SV62: $i,SV25: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $false )
| ( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(565,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
| ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[555]) ).
thf(566,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[556]) ).
thf(567,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(568,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(569,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(570,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[560]) ).
thf(571,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[561]) ).
thf(572,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[562]) ).
thf(573,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $true )
| ( ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[564]) ).
thf(574,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(575,plain,
! [SV25: $i,SV62: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[565]) ).
thf(576,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
!= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(577,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(578,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[568]) ).
thf(579,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(580,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[570]) ).
thf(581,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[571]) ).
thf(582,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $false )
| ( ( ( s @ tyop_2Enum_2Enum @ SV62 )
!= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(583,plain,
! [SV62: $i,SV25: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(584,plain,
! [SV25: $i,SV62: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV62 )
= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[575]) ).
thf(585,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i,SV72: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(586,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[577]) ).
thf(587,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(588,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(589,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(590,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(591,plain,
! [SV25: $i,SV62: $i] :
( ( ( ( s @ tyop_2Enum_2Enum @ SV62 )
= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $false )
| ( ( ( s @ tyop_2Enum_2Enum @ SV25 )
= ( s @ tyop_2Enum_2Enum @ c_2Enum_2E0_2E0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Einteger_2Eint__lt_2E2 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__neg_2E1 @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV25 ) ) ) ) ) @ ( s @ tyop_2Einteger_2Eint @ ( c_2Einteger_2Eint__of__num_2E1 @ ( s @ tyop_2Enum_2Enum @ SV62 ) ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(592,plain,
! [SV105: $i,SV102: $i,SV72: $i,SV98: $i,SV95: $i,SV35: $i,SV87: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(593,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(594,plain,
! [SV89: $i,SV75: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(595,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(596,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(597,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[590]) ).
thf(598,plain,
! [SV98: $i,SV95: $i,SV105: $i,SV102: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(599,plain,
! [SV105: $i,SV102: $i,SV87: $i,SV72: $i,SV98: $i,SV95: $i,SV35: $i] :
( ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[592]) ).
thf(600,plain,
! [SV89: $i,SV38: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(601,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[596]) ).
thf(602,plain,
! [SV38: $i,SV89: $i,SV75: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV89 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[597]) ).
thf(603,plain,
! [SV98: $i,SV95: $i,SV105: $i,SV102: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(604,plain,
! [SV98: $i,SV95: $i,SV72: $i,SV105: $i,SV102: $i,SV35: $i,SV87: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(605,plain,
! [SV98: $i,SV95: $i,SV72: $i,SV105: $i,SV102: $i,SV35: $i,SV87: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
| ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[603]) ).
thf(606,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(607,plain,
! [SV98: $i,SV95: $i,SV87: $i,SV72: $i,SV105: $i,SV102: $i,SV35: $i] :
( ( ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[604]) ).
thf(608,plain,
! [SV105: $i,SV98: $i,SV102: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(609,plain,
! [SV98: $i,SV95: $i,SV87: $i,SV72: $i,SV105: $i,SV102: $i,SV35: $i] :
( ( ( ( s @ SV35 @ SV102 )
= ( s @ SV35 @ SV105 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[605]) ).
thf(610,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[606]) ).
thf(611,plain,
! [SV105: $i,SV98: $i,SV102: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(612,plain,
! [SV105: $i,SV102: $i,SV98: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ SV35 @ SV95 )
= ( s @ SV35 @ SV98 ) )
= $false )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(613,plain,
! [SV105: $i,SV98: $i,SV102: $i,SV95: $i,SV35: $i,SV72: $i,SV87: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV72 )
= ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV87 ) )
= $true )
| ( ( ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV72 ) @ ( s @ SV35 @ SV95 ) @ ( s @ SV35 @ SV102 ) ) )
= ( s @ SV35 @ ( c_2Ebool_2ECOND_2E3 @ ( s @ tyop_2Emin_2Ebool @ SV87 ) @ ( s @ SV35 @ SV98 ) @ ( s @ SV35 @ SV105 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(614,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[106,613,612,609,607,602,601,600,595,593,591,584,583,572,563,553,552,544,543,540,539,538,529,528,526,525,523,522,521,516,515,499,498,494,493,491,485,484,483,482,480,479,478,473,472,471,470,469,468,467,464,463,462,457,454,453,452,451,450,419,418,414,413,375,339,297,296,294,287,240,239,236,235,234,233,232,231,230,229,228,225,224,200,199,196,187,185,184,177,146,138]) ).
thf(615,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[614]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP015+1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.22 % Computer : n001.cluster.edu
% 0.09/0.22 % Model : x86_64 x86_64
% 0.09/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22 % Memory : 8046.5625MB
% 0.09/0.22 % OS : Linux 6.8.0-71-generic
% 0.09/0.22 % CPULimit : 300
% 0.09/0.22 % WCLimit : 300
% 0.09/0.22 % DateTime : Tue Oct 6 11:15:24 UTC 2026
% 0.09/0.22 % CPUTime :
% 0.09/0.22 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.73/3.11
% 16.73/3.11 No.of.Axioms: 49
% 16.73/3.11
% 16.73/3.11 Length.of.Defs: 0
% 16.73/3.11
% 16.73/3.11 Contains.Choice.Funs: false
% 16.73/3.11 ...............................
% 16.73/3.11
% 16.73/3.11 ********************************
% 16.73/3.11 * All subproblems solved! *
% 16.73/3.11 ********************************
% 16.73/3.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:49,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:614,loop_count:0,foatp_calls:1,translation:fof_full)
% 16.73/3.11
% 16.73/3.11 %**** Beginning of derivation protocol ****
% 16.73/3.11 % SZS output start CNFRefutation
% See solution above
% 16.73/3.11
% 16.73/3.11 %**** End of derivation protocol ****
% 16.73/3.11 %**** no. of clauses in derivation: 615 ****
% 16.73/3.11 %**** clause counter: 614 ****
% 16.73/3.11
% 16.73/3.11 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:49,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:614,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------