%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP001+4 : 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 : n002.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 10:22:58 AM UTC 2026
% Result : Theorem 1.82s 0.51s
% Output : CNFRefutation 1.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 27
% Syntax : Number of formulae : 439 ( 195 unt; 0 typ; 0 def)
% Number of atoms : 3108 ( 912 equ; 0 cnn)
% Maximal formula atoms : 7 ( 7 avg)
% Number of connectives : 8339 (1017 ~;1033 |; 9 &;6193 @)
% ( 51 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 62 ( 59 usr; 33 con; 0-3 aty)
% Number of variables : 842 ( 0 ^; 842 !; 0 ?; 842 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_app_2E2,type,
app_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2EBOUNDED_2E0,type,
c_2Ebool_2EBOUNDED_2E0: $i ).
thf(tp_c_2Ebool_2EBOUNDED_2E1,type,
c_2Ebool_2EBOUNDED_2E1: $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_2EDATATYPE_2E0,type,
c_2Ebool_2EDATATYPE_2E0: $i ).
thf(tp_c_2Ebool_2EDATATYPE_2E1,type,
c_2Ebool_2EDATATYPE_2E1: $i > $i ).
thf(tp_c_2Ebool_2EF_2E0,type,
c_2Ebool_2EF_2E0: $i ).
thf(tp_c_2Ebool_2EIN_2E0,type,
c_2Ebool_2EIN_2E0: $i ).
thf(tp_c_2Ebool_2EIN_2E2,type,
c_2Ebool_2EIN_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ELET_2E0,type,
c_2Ebool_2ELET_2E0: $i ).
thf(tp_c_2Ebool_2ELET_2E2,type,
c_2Ebool_2ELET_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2EONE__ONE_2E0,type,
c_2Ebool_2EONE__ONE_2E0: $i ).
thf(tp_c_2Ebool_2EONE__ONE_2E1,type,
c_2Ebool_2EONE__ONE_2E1: $i > $i ).
thf(tp_c_2Ebool_2EONTO_2E0,type,
c_2Ebool_2EONTO_2E0: $i ).
thf(tp_c_2Ebool_2EONTO_2E1,type,
c_2Ebool_2EONTO_2E1: $i > $i ).
thf(tp_c_2Ebool_2ERES__EXISTS_2E0,type,
c_2Ebool_2ERES__EXISTS_2E0: $i ).
thf(tp_c_2Ebool_2ERES__EXISTS_2E2,type,
c_2Ebool_2ERES__EXISTS_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ERES__EXISTS__UNIQUE_2E0,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E0: $i ).
thf(tp_c_2Ebool_2ERES__EXISTS__UNIQUE_2E2,type,
c_2Ebool_2ERES__EXISTS__UNIQUE_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ERES__FORALL_2E0,type,
c_2Ebool_2ERES__FORALL_2E0: $i ).
thf(tp_c_2Ebool_2ERES__FORALL_2E2,type,
c_2Ebool_2ERES__FORALL_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ERES__SELECT_2E0,type,
c_2Ebool_2ERES__SELECT_2E0: $i ).
thf(tp_c_2Ebool_2ERES__SELECT_2E2,type,
c_2Ebool_2ERES__SELECT_2E2: $i > $i > $i ).
thf(tp_c_2Ebool_2ETYPE__DEFINITION_2E0,type,
c_2Ebool_2ETYPE__DEFINITION_2E0: $i ).
thf(tp_c_2Ebool_2ETYPE__DEFINITION_2E2,type,
c_2Ebool_2ETYPE__DEFINITION_2E2: $i > $i > $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_21_2E0,type,
c_2Ebool_2E_3F_21_2E0: $i ).
thf(tp_c_2Ebool_2E_3F_21_2E1,type,
c_2Ebool_2E_3F_21_2E1: $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_2Eliteral__case_2E0,type,
c_2Ebool_2Eliteral__case_2E0: $i ).
thf(tp_c_2Ebool_2Eliteral__case_2E2,type,
c_2Ebool_2Eliteral__case_2E2: $i > $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_2Emin_2E_40_2E0,type,
c_2Emin_2E_40_2E0: $i ).
thf(tp_c_2Emin_2E_40_2E1,type,
c_2Emin_2E_40_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_SX0,type,
sK1_SX0: $i ).
thf(tp_sK2_SX0,type,
sK2_SX0: $i ).
thf(tp_sK3_SY59,type,
sK3_SY59: $i > $i > $i ).
thf(tp_sK4_SY62,type,
sK4_SY62: $i > $i > $i ).
thf(tp_tyop_2Emin_2Ebool,type,
tyop_2Emin_2Ebool: $i ).
thf(tp_tyop_2Emin_2Efun,type,
tyop_2Emin_2Efun: $i > $i > $i ).
thf(tp_tyop_2Emin_2Eind,type,
tyop_2Emin_2Eind: $i ).
thf(1,axiom,
! [A_27a: $i,V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EDATATYPE__TAG__DEF) ).
thf(2,axiom,
! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EBOUNDED_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EBOUNDED__DEF) ).
thf(15,axiom,
! [V0x_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ENOT__DEF) ).
thf(16,axiom,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
<=> ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EF__DEF) ).
thf(17,axiom,
! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EOR__DEF) ).
thf(18,axiom,
! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2EAND__DEF) ).
thf(21,axiom,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
<=> ! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ET__DEF) ).
thf(25,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',thm_2Ebool_2EBOOL__CASES__AX) ).
thf(52,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(53,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(54,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(55,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(56,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(60,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(61,axiom,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
thf(62,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(63,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(74,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(75,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(76,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(77,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(78,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(82,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(83,axiom,
~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
thf(84,axiom,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
thf(85,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(87,conjecture,
p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebool_2ETRUTH) ).
thf(88,negated_conjecture,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[87]) ).
thf(89,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ),
inference(unfold_def,[status(thm)],[88]) ).
thf(90,plain,
( ( ! [A_27a: $i,V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(91,plain,
( ( ! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EBOUNDED_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(92,plain,
( ( ! [V0x_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(93,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
<=> ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(94,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(95,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(96,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
<=> ! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
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)],[25]) ).
thf(98,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)],[52]) ).
thf(99,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)],[53]) ).
thf(100,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)],[54]) ).
thf(101,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)],[55]) ).
thf(102,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)],[56]) ).
thf(103,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)],[60]) ).
thf(104,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(105,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(106,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)],[63]) ).
thf(107,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)],[74]) ).
thf(108,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)],[75]) ).
thf(109,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)],[76]) ).
thf(110,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)],[77]) ).
thf(111,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)],[78]) ).
thf(112,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)],[82]) ).
thf(113,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(114,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(115,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)],[85]) ).
thf(116,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[89]) ).
thf(117,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)],[115]) ).
thf(118,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(119,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(120,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)],[112]) ).
thf(121,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)],[111]) ).
thf(122,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)],[110]) ).
thf(123,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)],[109]) ).
thf(124,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)],[108]) ).
thf(125,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)],[107]) ).
thf(126,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)],[106]) ).
thf(127,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(128,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(129,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)],[103]) ).
thf(130,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)],[102]) ).
thf(131,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)],[101]) ).
thf(132,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)],[100]) ).
thf(133,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)],[99]) ).
thf(134,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)],[98]) ).
thf(135,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(136,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
<=> ! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ V0x_2E0 )
= ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[96]) ).
thf(137,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
& ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[95]) ).
thf(138,plain,
( ( ! [V0x_2E0: $i,V1x_27_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) ) )
<=> ! [V2t_2E0: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ V1x_27_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ V2t_2E0 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[94]) ).
thf(139,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
<=> ! [V0t_2E0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ V0t_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[93]) ).
thf(140,plain,
( ( ! [V0x_2E0: $i] :
( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
<=> ( ( p @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) )
=> ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[92]) ).
thf(141,plain,
( ( ! [V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EBOUNDED_2E1 @ ( s @ tyop_2Emin_2Ebool @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[91]) ).
thf(142,plain,
( ( ! [A_27a: $i,V0x_2E0: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[90]) ).
thf(143,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(144,plain,
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(145,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)],[123]) ).
thf(146,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ! [SX2: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) ) )
| ~ ( ~ ! [SX2: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX2 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(147,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)],[132]) ).
thf(148,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)],[134]) ).
thf(149,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)],[133]) ).
thf(150,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)],[130]) ).
thf(151,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)],[126]) ).
thf(152,plain,
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(153,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) )
| ! [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 @ SX2 ) ) ) )
| ~ ( ~ ! [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 @ SX2 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(154,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)],[117]) ).
thf(155,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)],[125]) ).
thf(156,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)],[122]) ).
thf(157,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)],[131]) ).
thf(158,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(159,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)],[124]) ).
thf(160,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)],[121]) ).
thf(161,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(162,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)],[120]) ).
thf(163,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[128]) ).
thf(164,plain,
! [SV2: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(165,plain,
! [SV3: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV3 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV3 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(166,plain,
! [SV4: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EBOUNDED_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV4 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(167,plain,
! [SV5: $i] :
( ( ! [SY39: $i] :
( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ SV5 @ SY39 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(168,plain,
( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[143]) ).
thf(169,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(170,plain,
! [SV6: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(171,plain,
! [SV7: $i] :
( ( ! [SY40: $i] :
~ ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY40 ) ) )
| ! [SY41: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY41 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY41 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY41 ) ) ) )
| ~ ( ~ ! [SY42: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY42 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY40 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY42 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY42 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY40 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(172,plain,
! [SV8: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(173,plain,
! [SV9: $i] :
( ( ! [SY43: $i,SY44: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SY43 ) @ ( s @ SV9 @ SY44 ) ) ) )
| ( ( s @ SV9 @ SY43 )
= ( s @ SV9 @ SY44 ) ) )
| ~ ( ( ( s @ SV9 @ SY43 )
!= ( s @ SV9 @ SY44 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SY43 ) @ ( s @ SV9 @ SY44 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(174,plain,
! [SV10: $i] :
( ( ! [SY45: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SY45 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY45 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY45 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SY45 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(175,plain,
! [SV11: $i] :
( ( ! [SY46: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SY46 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY46 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY46 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SY46 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(176,plain,
! [SV12: $i] :
( ( ! [SY47: $i] :
( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY47 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY47 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SY47 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(177,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
| ~ ( ~ ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(178,plain,
! [SV13: $i] :
( ( ! [SY48: $i] :
~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY48 ) ) )
| ! [SY49: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY48 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY49 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY49 ) ) ) )
| ~ ( ~ ! [SY50: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY48 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY50 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY50 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY48 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[153]) ).
thf(179,plain,
! [SV14: $i] :
( ( ! [SY51: $i] :
( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY51 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY51 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SY51 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[154]) ).
thf(180,plain,
! [SV15: $i] :
( ( ! [SY52: $i,SY53: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SY52 ) @ ( s @ SV15 @ SY53 ) ) ) )
| ( ( s @ SV15 @ SY52 )
= ( s @ SV15 @ SY53 ) ) )
| ~ ( ( ( s @ SV15 @ SY52 )
!= ( s @ SV15 @ SY53 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SY52 ) @ ( s @ SV15 @ SY53 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(181,plain,
! [SV16: $i] :
( ( ! [SY54: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SY54 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY54 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY54 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SY54 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(182,plain,
! [SV17: $i] :
( ( ! [SY55: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SY55 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY55 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY55 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SY55 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[157]) ).
thf(183,plain,
! [SV18: $i] :
( ( ~ ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(184,plain,
! [SV19: $i] :
( ( ! [SY56: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SY56 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY56 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY56 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SY56 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[159]) ).
thf(185,plain,
! [SV20: $i] :
( ( ! [SY57: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SY57 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY57 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SY57 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SY57 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(186,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)],[162]) ).
thf(187,plain,
! [SV2: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV2 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(188,plain,
! [SV3: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV3 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV3 )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(189,plain,
! [SV21: $i,SV5: $i] :
( ( ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2EDATATYPE_2E1 @ ( s @ SV5 @ SV21 ) ) )
= ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[167]) ).
thf(190,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(191,plain,
( ( ~ ( ~ ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[169]) ).
thf(192,plain,
! [SV6: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(193,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
| ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
| ~ ( ~ ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[171]) ).
thf(194,plain,
! [SV8: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
| ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(195,plain,
! [SV23: $i,SV9: $i] :
( ( ! [SY60: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SY60 ) ) ) )
| ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SY60 ) ) )
| ~ ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SY60 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SY60 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(196,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(197,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(198,plain,
! [SV26: $i,SV12: $i] :
( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(199,plain,
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(200,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[177]) ).
thf(201,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
| ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
| ~ ( ~ ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(202,plain,
! [SV28: $i,SV14: $i] :
( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
| ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(203,plain,
! [SV29: $i,SV15: $i] :
( ( ! [SY63: $i] :
~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SY63 ) ) ) )
| ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SY63 ) ) )
| ~ ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SY63 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SY63 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(204,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(205,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(206,plain,
! [SV18: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[183]) ).
thf(207,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(208,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(209,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
| ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[190]) ).
thf(210,plain,
( ( ~ ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[191]) ).
thf(211,plain,
! [SV6: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(212,plain,
! [SV6: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[192]) ).
thf(213,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
| ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
| ~ ( ~ ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[193]) ).
thf(214,plain,
! [SV8: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(215,plain,
! [SV8: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[194]) ).
thf(216,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
| ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) ) )
| ~ ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(217,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[196]) ).
thf(218,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(219,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[198]) ).
thf(220,plain,
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
| ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[199]) ).
thf(221,plain,
( ( ~ ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[200]) ).
thf(222,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
| ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
| ~ ( ~ ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[201]) ).
thf(223,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[202]) ).
thf(224,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
| ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) ) )
| ~ ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SV35 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(225,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[204]) ).
thf(226,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[205]) ).
thf(227,plain,
! [SV18: $i] :
( ( ~ ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(228,plain,
! [SV18: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(229,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[207]) ).
thf(230,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[208]) ).
thf(231,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true )
| ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(232,plain,
( ( ( ~ ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[210]) ).
thf(233,plain,
! [SV6: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(234,plain,
! [SV6: $i] :
( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(235,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
| ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(236,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ( ~ ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[213]) ).
thf(237,plain,
! [SV8: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(238,plain,
! [SV8: $i] :
( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(239,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
| ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) ) )
| ~ ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[216]) ).
thf(240,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(241,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[217]) ).
thf(242,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(243,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[218]) ).
thf(244,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(245,plain,
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) ) )
= $true )
| ( ( ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[220]) ).
thf(246,plain,
( ( ( ~ ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[221]) ).
thf(247,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
| ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(248,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ( ~ ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[222]) ).
thf(249,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(250,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
| ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) ) )
| ~ ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SV35 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(251,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(252,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[225]) ).
thf(253,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(254,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[226]) ).
thf(255,plain,
! [SV18: $i] :
( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[227]) ).
thf(256,plain,
! [SV18: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[228]) ).
thf(257,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(258,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(259,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(260,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[230]) ).
thf(261,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[231]) ).
thf(262,plain,
( ( ( ! [SX0: $i] : ( p @ ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[232]) ).
thf(263,plain,
! [SV6: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[233]) ).
thf(264,plain,
! [SV6: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(265,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
| ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[235]) ).
thf(266,plain,
! [SV22: $i,SV7: $i] :
( ( ~ ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[236]) ).
thf(267,plain,
! [SV8: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(268,plain,
! [SV8: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(269,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
| ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(270,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[239]) ).
thf(271,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[240]) ).
thf(272,plain,
! [SV24: $i,SV10: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(273,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(274,plain,
! [SV25: $i,SV11: $i] :
( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(275,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(276,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false )
| ( ( ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(277,plain,
( ( ( ! [SX0: $i] :
( ( s @ tyop_2Emin_2Ebool @ SX0 )
= ( s @ tyop_2Emin_2Ebool @ SX0 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[246]) ).
thf(278,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
| ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[247]) ).
thf(279,plain,
! [SV27: $i,SV13: $i] :
( ( ~ ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[248]) ).
thf(280,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[249]) ).
thf(281,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
| ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(282,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ~ ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SV35 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[250]) ).
thf(283,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[251]) ).
thf(284,plain,
! [SV30: $i,SV16: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[252]) ).
thf(285,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[253]) ).
thf(286,plain,
! [SV31: $i,SV17: $i] :
( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[254]) ).
thf(287,plain,
! [SV18: $i] :
( ( ( ~ ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[255]) ).
thf(288,plain,
! [SV18: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[256]) ).
thf(289,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[257]) ).
thf(290,plain,
! [SV32: $i,SV19: $i] :
( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[258]) ).
thf(291,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[259]) ).
thf(292,plain,
! [SV33: $i,SV20: $i] :
( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[260]) ).
thf(293,plain,
! [SV36: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV36 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(294,plain,
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ sK1_SX0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[262]) ).
thf(295,plain,
! [SV6: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[263]) ).
thf(296,plain,
! [SV6: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[264]) ).
thf(297,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) ) )
= $true )
| ( ( ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[265]) ).
thf(298,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[266]) ).
thf(299,plain,
! [SV8: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[267]) ).
thf(300,plain,
! [SV8: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[268]) ).
thf(301,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
| ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[269]) ).
thf(302,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SV34 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[270]) ).
thf(303,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(304,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(305,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(306,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(307,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(308,plain,
! [SV37: $i] :
( ( ( ( s @ tyop_2Emin_2Ebool @ SV37 )
= ( s @ tyop_2Emin_2Ebool @ SV37 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(309,plain,
( ( ( ( s @ tyop_2Emin_2Ebool @ sK2_SX0 )
= ( s @ tyop_2Emin_2Ebool @ sK2_SX0 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2ET_2E0 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[277]) ).
thf(310,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(311,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(312,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(313,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
| ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[281]) ).
thf(314,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SV35 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[282]) ).
thf(315,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[283]) ).
thf(316,plain,
! [SV30: $i,SV16: $i] :
( ( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[284]) ).
thf(317,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[285]) ).
thf(318,plain,
! [SV31: $i,SV17: $i] :
( ( ( ~ ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(319,plain,
! [SV18: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[287]) ).
thf(320,plain,
! [SV18: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(321,plain,
! [SV32: $i,SV19: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[289]) ).
thf(322,plain,
! [SV32: $i,SV19: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[290]) ).
thf(323,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(324,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[292]) ).
thf(325,plain,
! [SV6: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(326,plain,
! [SV6: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV6 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV6 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(327,plain,
! [SV22: $i,SV7: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[297]) ).
thf(328,plain,
! [SV22: $i,SV7: $i] :
( ( ( ! [SY59: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY59 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[298]) ).
thf(329,plain,
! [SV8: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(330,plain,
! [SV8: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV8 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_7E_2E1 @ ( s @ tyop_2Emin_2Ebool @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(331,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) ) )
= $true )
| ( ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[301]) ).
thf(332,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( ( s @ SV9 @ SV23 )
!= ( s @ SV9 @ SV34 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(333,plain,
! [SV24: $i,SV10: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(334,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[304]) ).
thf(335,plain,
! [SV25: $i,SV11: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[305]) ).
thf(336,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[306]) ).
thf(337,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(338,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(339,plain,
! [SV27: $i,SV13: $i] :
( ( ( ! [SY62: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY62 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(340,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(341,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) ) )
= $true )
| ( ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(342,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ( ( s @ SV15 @ SV29 )
!= ( s @ SV15 @ SV35 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[314]) ).
thf(343,plain,
! [SV30: $i,SV16: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(344,plain,
! [SV30: $i,SV16: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(345,plain,
! [SV31: $i,SV17: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(346,plain,
! [SV31: $i,SV17: $i] :
( ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(347,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[319]) ).
thf(348,plain,
! [SV18: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(349,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[320]) ).
thf(350,plain,
! [SV32: $i,SV19: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(351,plain,
! [SV32: $i,SV19: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(352,plain,
! [SV33: $i,SV20: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(353,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[324]) ).
thf(354,plain,
! [SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(355,plain,
! [SV7: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false )
| ( ( ! [SY58: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY58 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(356,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(357,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
= $false )
| ( ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(358,plain,
! [SV34: $i,SV23: $i,SV9: $i] :
( ( ( ( s @ SV9 @ SV23 )
= ( s @ SV9 @ SV34 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV9 @ SV23 ) @ ( s @ SV9 @ SV34 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(359,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(360,plain,
! [SV24: $i,SV10: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(361,plain,
! [SV10: $i,SV24: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[334]) ).
thf(362,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[335]) ).
thf(363,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(364,plain,
! [SV26: $i,SV12: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(365,plain,
! [SV12: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[337]) ).
thf(366,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[338]) ).
thf(367,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(368,plain,
! [SV28: $i,SV14: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(369,plain,
! [SV14: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[340]) ).
thf(370,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
= $false )
| ( ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(371,plain,
! [SV35: $i,SV29: $i,SV15: $i] :
( ( ( ( s @ SV15 @ SV29 )
= ( s @ SV15 @ SV35 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_2E2 @ ( s @ SV15 @ SV29 ) @ ( s @ SV15 @ SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(372,plain,
! [SV30: $i,SV16: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(373,plain,
! [SV30: $i,SV16: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV16 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(374,plain,
! [SV16: $i,SV30: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV30 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV16 ) @ ( s @ tyop_2Emin_2Ebool @ SV30 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[344]) ).
thf(375,plain,
! [SV31: $i,SV17: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[345]) ).
thf(376,plain,
! [SV31: $i,SV17: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV17 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(377,plain,
! [SV17: $i,SV31: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV31 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_5C_2F_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV17 ) @ ( s @ tyop_2Emin_2Ebool @ SV31 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[346]) ).
thf(378,plain,
! [SV18: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[347]) ).
thf(379,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(380,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(381,plain,
! [SV32: $i,SV19: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(382,plain,
! [SV32: $i,SV19: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(383,plain,
! [SV19: $i,SV32: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[351]) ).
thf(384,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[352]) ).
thf(385,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(386,plain,
! [SV22: $i,SV38: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(387,plain,
! [SV22: $i,SV39: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[355]) ).
thf(388,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(389,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[356]) ).
thf(390,plain,
! [SV24: $i,SV10: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV24 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[359]) ).
thf(391,plain,
! [SV24: $i,SV10: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV10 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV10 ) @ ( s @ tyop_2Emin_2Ebool @ SV24 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(392,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(393,plain,
! [SV11: $i,SV25: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[362]) ).
thf(394,plain,
! [SV25: $i,SV11: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[363]) ).
thf(395,plain,
! [SV26: $i,SV12: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[364]) ).
thf(396,plain,
! [SV12: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[365]) ).
thf(397,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[366]) ).
thf(398,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(399,plain,
! [SV13: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[367]) ).
thf(400,plain,
! [SV28: $i,SV14: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[368]) ).
thf(401,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[369]) ).
thf(402,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ c_2Ebool_2EF_2E0 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[378]) ).
thf(403,plain,
! [SV18: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(404,plain,
! [SV32: $i,SV19: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV32 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(405,plain,
! [SV32: $i,SV19: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV19 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Emin_2E_3D_3D_3E_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV19 ) @ ( s @ tyop_2Emin_2Ebool @ SV32 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[382]) ).
thf(406,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(407,plain,
! [SV20: $i,SV33: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[384]) ).
thf(408,plain,
! [SV33: $i,SV20: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(409,plain,
! [SV22: $i,SV38: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[386]) ).
thf(410,plain,
! [SV22: $i,SV39: $i,SV7: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(411,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(412,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(413,plain,
! [SV7: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $false )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[389]) ).
thf(414,plain,
! [SV25: $i,SV11: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[392]) ).
thf(415,plain,
! [SV11: $i,SV25: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[393]) ).
thf(416,plain,
! [SV25: $i,SV11: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[394]) ).
thf(417,plain,
! [SV12: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(418,plain,
! [SV12: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(419,plain,
! [SV26: $i,SV12: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[396]) ).
thf(420,plain,
! [SV27: $i,SV13: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $true )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(421,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[398]) ).
thf(422,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(423,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(424,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(425,plain,
! [SV28: $i,SV14: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[401]) ).
thf(426,plain,
! [SV33: $i,SV20: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[406]) ).
thf(427,plain,
! [SV20: $i,SV33: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[407]) ).
thf(428,plain,
! [SV33: $i,SV20: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(429,plain,
! [SV22: $i,SV38: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(430,plain,
! [SV22: $i,SV39: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(431,plain,
! [SV22: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[411]) ).
thf(432,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(433,plain,
! [SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[413]) ).
thf(434,plain,
! [SV11: $i,SV25: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV25 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV11 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV11 ) @ ( s @ tyop_2Emin_2Ebool @ SV25 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(435,plain,
! [SV12: $i,SV26: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(436,plain,
! [SV26: $i,SV12: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[417]) ).
thf(437,plain,
! [SV12: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(438,plain,
! [SV13: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( ! [SY61: $i] :
( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SY61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(439,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) ) )
= $true )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[421]) ).
thf(440,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(441,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[422]) ).
thf(442,plain,
! [SV14: $i,SV28: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(443,plain,
! [SV28: $i,SV14: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(444,plain,
! [SV14: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $false )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[424]) ).
thf(445,plain,
! [SV20: $i,SV33: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV33 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV20 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( c_2Ebool_2E_2F_5C_2E2 @ ( s @ tyop_2Emin_2Ebool @ SV20 ) @ ( s @ tyop_2Emin_2Ebool @ SV33 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(446,plain,
! [SV38: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(447,plain,
! [SV7: $i,SV22: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(448,plain,
! [SV39: $i,SV22: $i,SV7: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(449,plain,
! [SV22: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[430]) ).
thf(450,plain,
! [SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(451,plain,
! [SV7: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(452,plain,
! [SV12: $i,SV26: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV12 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV12 )
= ( s @ tyop_2Emin_2Ebool @ SV26 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(453,plain,
! [SV40: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(454,plain,
! [SV27: $i,SV13: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(455,plain,
! [SV27: $i,SV13: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[440]) ).
thf(456,plain,
! [SV13: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(457,plain,
! [SV14: $i,SV28: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV14 ) )
= $true )
| ( ( ( s @ tyop_2Emin_2Ebool @ SV14 )
= ( s @ tyop_2Emin_2Ebool @ SV28 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[442]) ).
thf(458,plain,
! [SV38: $i,SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(459,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[447]) ).
thf(460,plain,
! [SV39: $i,SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(461,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(462,plain,
! [SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[450]) ).
thf(463,plain,
! [SV7: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[451]) ).
thf(464,plain,
! [SV40: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[453]) ).
thf(465,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(466,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[458]) ).
thf(467,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(468,plain,
! [SV7: $i,SV39: $i,SV22: $i] :
( ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[460]) ).
thf(469,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(470,plain,
! [SV22: $i,SV7: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK3_SY59 @ SV22 @ SV7 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[463]) ).
thf(471,plain,
! [SV40: $i,SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[464]) ).
thf(472,plain,
! [SV13: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( ~ ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[465]) ).
thf(473,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(474,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(475,plain,
! [SV7: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[467]) ).
thf(476,plain,
! [SV7: $i,SV39: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(477,plain,
! [SV39: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(478,plain,
! [SV22: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(479,plain,
! [SV27: $i,SV40: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(480,plain,
! [SV13: $i,SV40: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
| ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[471]) ).
thf(481,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
| ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(482,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(483,plain,
! [SV7: $i,SV38: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(484,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(485,plain,
! [SV7: $i,SV39: $i,SV22: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(486,plain,
! [SV22: $i,SV7: $i,SV39: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(487,plain,
! [SV39: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(488,plain,
! [SV27: $i,SV40: $i,SV13: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[479]) ).
thf(489,plain,
! [SV13: $i,SV40: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(490,plain,
! [SV27: $i,SV13: $i,SV40: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[480]) ).
thf(491,plain,
! [SV27: $i,SV13: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(492,plain,
! [SV13: $i,SV27: $i] :
( ( ( ~ ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(493,plain,
! [SV7: $i,SV38: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV38 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(494,plain,
! [SV7: $i,SV39: $i,SV22: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV39 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV7 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[485]) ).
thf(495,plain,
! [SV13: $i,SV40: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV40 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[489]) ).
thf(496,plain,
! [SV27: $i,SV13: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[491]) ).
thf(497,plain,
! [SV13: $i,SV27: $i] :
( ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV13 ) )
= $false )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ ( sK4_SY62 @ SV27 @ SV13 ) ) )
= $true )
| ( ( p @ ( s @ tyop_2Emin_2Ebool @ SV27 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(498,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[118,497,496,495,494,493,490,488,487,486,484,483,478,475,470,462,457,456,455,452,445,444,443,437,436,434,433,427,426,425,419,415,414,405,404,403,402,391,390,383,380,377,376,375,374,373,372,371,370,361,358,357,330,329,326,325,309,308,294,293,189,188,187,186,168,166,163,161,127]) ).
thf(499,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[498]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP001+4 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.16 % Computer : n002.cluster.edu
% 0.11/0.16 % Model : x86_64 x86_64
% 0.11/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.16 % Memory : 8046.5625MB
% 0.11/0.16 % OS : Linux 6.8.0-71-generic
% 0.11/0.16 % CPULimit : 300
% 0.11/0.16 % WCLimit : 300
% 0.11/0.16 % DateTime : Tue Oct 6 11:09:21 UTC 2026
% 0.11/0.16 % CPUTime :
% 0.11/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/0.51
% 1.82/0.51 No.of.Axioms: 26
% 1.82/0.51
% 1.82/0.51 Length.of.Defs: 0
% 1.82/0.51
% 1.82/0.51 Contains.Choice.Funs: false
% 1.82/0.51 ..............
% 1.82/0.51
% 1.82/0.51 ********************************
% 1.82/0.51 * All subproblems solved! *
% 1.82/0.51 ********************************
% 1.82/0.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:26,ps:0,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:498,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.82/0.51
% 1.82/0.51 %**** Beginning of derivation protocol ****
% 1.82/0.51 % SZS output start CNFRefutation
% See solution above
% 1.82/0.52
% 1.82/0.52 %**** End of derivation protocol ****
% 1.82/0.52 %**** no. of clauses in derivation: 439 ****
% 1.82/0.52 %**** clause counter: 498 ****
% 1.82/0.52
% 1.82/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:26,ps:0,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:498,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------