TSTP Solution File: ITP011^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : ITP011^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3XwyKMgZbo true
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:21:03 EDT 2023
% Result : Theorem 85.99s 11.58s
% Output : Refutation 85.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 40
% Syntax : Number of formulae : 62 ( 10 unt; 32 typ; 0 def)
% Number of atoms : 115 ( 42 equ; 0 cnn)
% Maximal formula atoms : 29 ( 3 avg)
% Number of connectives : 1379 ( 29 ~; 34 |; 34 &;1253 @)
% ( 25 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 13 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 29 ( 27 usr; 11 con; 0-7 aty)
% Number of variables : 137 ( 0 ^; 133 !; 4 ?; 137 :)
% Comments :
%------------------------------------------------------------------------------
thf(du_type,type,
du: $tType ).
thf(d_type,type,
d: $tType ).
thf(u_type,type,
u: $tType ).
thf(sk__2_type,type,
sk__2: u > u > u > d > d > u ).
thf(c_2Eoption_2EIS__NONE_2E1_type,type,
c_2Eoption_2EIS__NONE_2E1: du > u ).
thf(tyop_2Emin_2Efun_type,type,
tyop_2Emin_2Efun: d > d > d ).
thf(j_mono_2Etyop_2Emin_2Ebool_type,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(mono_2Ec_2Ebool_2EF_type,type,
mono_2Ec_2Ebool_2EF: $o ).
thf(sk__4_type,type,
sk__4: u ).
thf(c_2Eoption_2EOPTREL_2E3_type,type,
c_2Eoption_2EOPTREL_2E3: du > du > du > u ).
thf(sk__5_type,type,
sk__5: u ).
thf(combin_i_2E0_type,type,
combin_i_2E0: u ).
thf(c_2Eoption_2Eoption__CASE_2E3_type,type,
c_2Eoption_2Eoption__CASE_2E3: du > du > du > u ).
thf(c_2Eoption_2ESOME_2E0_type,type,
c_2Eoption_2ESOME_2E0: u ).
thf(sk__6_type,type,
sk__6: u ).
thf(s_type,type,
s: d > u > du ).
thf(app_2E2_type,type,
app_2E2: du > du > u ).
thf(zip_tseitin_0_type,type,
zip_tseitin_0: u > u > u > u > u > d > d > $o ).
thf(c_2Eoption_2EOPTION__MAP_2E2_type,type,
c_2Eoption_2EOPTION__MAP_2E2: du > du > u ).
thf(c_2Eoption_2EOPTION__JOIN_2E1_type,type,
c_2Eoption_2EOPTION__JOIN_2E1: du > u ).
thf(tyop_2Eoption_2Eoption_type,type,
tyop_2Eoption_2Eoption: d > d ).
thf(sk__1_type,type,
sk__1: u > u > u > d > d > u ).
thf(sk__3_type,type,
sk__3: d ).
thf(tyop_2Emin_2Ebool_type,type,
tyop_2Emin_2Ebool: d ).
thf(mono_2Ec_2Ebool_2ET_type,type,
mono_2Ec_2Ebool_2ET: $o ).
thf(c_2Eoption_2ENONE_2E0_type,type,
c_2Eoption_2ENONE_2E0: u ).
thf(c_2Eoption_2ETHE_2E1_type,type,
c_2Eoption_2ETHE_2E1: du > u ).
thf(c_2Eoption_2ESOME_2E1_type,type,
c_2Eoption_2ESOME_2E1: du > u ).
thf(c_2Eoption_2EIS__SOME_2E1_type,type,
c_2Eoption_2EIS__SOME_2E1: du > u ).
thf(zip_tseitin_1_type,type,
zip_tseitin_1: u > u > d > d > $o ).
thf(thm_2Eoption_2EOPTREL__def,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 ) ) ) )
<=> ( ? [V3x0_2E0: u,V4y0_2E0: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V3x0_2E0 ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ V4y0_2E0 ) ) ) )
& ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3x0_2E0 ) ) ) @ ( s @ A_27b @ V4y0_2E0 ) ) ) ) )
| ( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ c_2Eoption_2ENONE_2E0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ) ).
thf(zf_stmt_0,type,
zip_tseitin_1: u > u > d > d > $o ).
thf(zf_stmt_1,axiom,
! [V2y_2E0: u,V1x_2E0: u,A_27b: d,A_27a: d] :
( ( zip_tseitin_1 @ V2y_2E0 @ V1x_2E0 @ A_27b @ A_27a )
<=> ( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ).
thf(zf_stmt_2,type,
zip_tseitin_0: u > u > u > u > u > d > d > $o ).
thf(zf_stmt_3,axiom,
! [V4y0_2E0: u,V3x0_2E0: u,V2y_2E0: u,V1x_2E0: u,V0R_2E0: u,A_27b: d,A_27a: d] :
( ( zip_tseitin_0 @ V4y0_2E0 @ V3x0_2E0 @ V2y_2E0 @ V1x_2E0 @ V0R_2E0 @ A_27b @ A_27a )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ A_27a @ V3x0_2E0 ) ) ) @ ( s @ A_27b @ V4y0_2E0 ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ V4y0_2E0 ) ) ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V3x0_2E0 ) ) ) ) ) ) ).
thf(zf_stmt_4,axiom,
! [A_27a: d,A_27b: d,V0R_2E0: u,V1x_2E0: u,V2y_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27b @ tyop_2Emin_2Ebool ) ) @ V0R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ V2y_2E0 ) ) ) )
<=> ( ( zip_tseitin_1 @ V2y_2E0 @ V1x_2E0 @ A_27b @ A_27a )
| ? [V3x0_2E0: u,V4y0_2E0: u] : ( zip_tseitin_0 @ V4y0_2E0 @ V3x0_2E0 @ V2y_2E0 @ V1x_2E0 @ V0R_2E0 @ A_27b @ A_27a ) ) ) ).
thf(zip_derived_cl90,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u,X5: u,X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
| ~ ( zip_tseitin_0 @ X5 @ X6 @ X4 @ X3 @ X2 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(thm_2Equotient__option_2EOPTION__REL__def,conjecture,
! [A_27a: d,V0y_2E0: u,V1x_2E0: u,V2R_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0y_2E0 ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V0y_2E0 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0y_2E0 ) ) ) ) ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
<=> mono_2Ec_2Ebool_2ET ) ) ).
thf(zf_stmt_5,negated_conjecture,
~ ! [A_27a: d,V0y_2E0: u,V1x_2E0: u,V2R_2E0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0y_2E0 ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ A_27a @ V0y_2E0 ) ) ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V0y_2E0 ) ) ) ) ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V1x_2E0 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
<=> mono_2Ec_2Ebool_2EF )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Emin_2Efun @ A_27a @ tyop_2Emin_2Ebool ) ) @ V2R_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
<=> mono_2Ec_2Ebool_2ET ) ),
inference('cnf.neg',[status(esa)],[thm_2Equotient__option_2EOPTION__REL__def]) ).
thf(zip_derived_cl93,plain,
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__4 ) ) ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ sk__3 @ sk__4 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__4 ) ) ) ) ) )
| mono_2Ec_2Ebool_2EF
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
| mono_2Ec_2Ebool_2EF
| ~ mono_2Ec_2Ebool_2ET
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl81,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u,X5: u,X6: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ X1 @ X3 ) ) ) @ ( s @ X0 @ X4 ) ) ) )
| ~ ( zip_tseitin_0 @ X4 @ X3 @ X5 @ X6 @ X2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl86,plain,
! [X0: d,X1: u,X2: u,X3: d] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X1 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) )
| ~ ( zip_tseitin_1 @ X1 @ X2 @ X0 @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(reserved_2Eho_2Ei__thm,axiom,
! [A_27a: d,V0x_2E0: u] :
( ( s @ A_27a @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27a ) @ combin_i_2E0 ) @ ( s @ A_27a @ V0x_2E0 ) ) )
= ( s @ A_27a @ V0x_2E0 ) ) ).
thf(zip_derived_cl1,plain,
! [X0: d,X1: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X0 ) @ combin_i_2E0 ) @ ( s @ X0 @ X1 ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[reserved_2Eho_2Ei__thm]) ).
thf(zip_derived_cl85,plain,
! [X0: d,X1: u,X2: u,X3: d] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X1 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) )
| ~ ( zip_tseitin_1 @ X2 @ X1 @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(thm_2Eoption_2Eoption__CLAUSES,axiom,
! [A_27a: d,A_27b: d,V0f_2E0: u,V1e_2E0: u,V2e_2E0: u] :
( ! [V25x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V25x_2E0 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V25x_2E0 ) )
& ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ c_2Eoption_2ENONE_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) )
& ! [V24f_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V24f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ c_2Eoption_2ENONE_2E0 ) )
& ! [V22f_2E0: u,V23x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V22f_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V23x_2E0 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27b ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V22f_2E0 ) @ ( s @ A_27a @ V23x_2E0 ) ) ) ) ) )
& ! [V19x_2E0: u,V20v_2E0: u,V21f_2E0: u] :
( ( s @ A_27b @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V19x_2E0 ) ) ) @ ( s @ A_27b @ V20v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V21f_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V21f_2E0 ) @ ( s @ A_27a @ V19x_2E0 ) ) ) )
& ! [V17v_2E0: u,V18f_2E0: u] :
( ( s @ A_27b @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ A_27b @ V17v_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V18f_2E0 ) ) )
= ( s @ A_27b @ V17v_2E0 ) )
& ! [V16x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V16x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V16x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V1e_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V16x_2E0 ) ) )
& ! [V15x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V15x_2E0 ) ) ) )
=> ( ( s @ A_27b @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V15x_2E0 ) @ ( s @ A_27b @ V2e_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) ) )
= ( s @ A_27b @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) @ ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V15x_2E0 ) ) ) ) ) ) )
& ! [V14x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V14x_2E0 ) ) ) )
=> ( ( s @ A_27b @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V14x_2E0 ) @ ( s @ A_27b @ V2e_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ A_27b ) @ V0f_2E0 ) ) )
= ( s @ A_27b @ V2e_2E0 ) ) )
& ! [V13x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V13x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V13x_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V13x_2E0 ) )
& ! [V12x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2Eoption__CASE_2E3 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V12x_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Emin_2Efun @ A_27a @ ( tyop_2Eoption_2Eoption @ A_27a ) ) @ c_2Eoption_2ESOME_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V12x_2E0 ) )
& ! [V11x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V11x_2E0 ) ) ) )
=> ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V11x_2E0 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V11x_2E0 ) ) )
& ! [V10x_2E0: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V10x_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V10x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) )
& ! [V9x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__NONE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V9x_2E0 ) ) ) )
<=> ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ V9x_2E0 )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
<=> mono_2Ec_2Ebool_2EF )
& ! [V8x_2E0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EIS__SOME_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V8x_2E0 ) ) ) ) ) )
<=> mono_2Ec_2Ebool_2ET )
& ! [V7x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V7x_2E0 ) ) )
!= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 ) )
& ! [V6x_2E0: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V6x_2E0 ) ) ) )
& ! [V5x_2E0: u] :
( ( s @ A_27a @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V5x_2E0 ) ) ) ) )
= ( s @ A_27a @ V5x_2E0 ) )
& ! [V3x_2E0: u,V4y_2E0: u] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V3x_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ A_27a ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ A_27a @ V4y_2E0 ) ) ) )
<=> ( ( s @ A_27a @ V3x_2E0 )
= ( s @ A_27a @ V4y_2E0 ) ) ) ) ).
thf(zip_derived_cl77,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X1 @ X3 ) ) ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X2 ) @ ( s @ X1 @ X3 ) ) ) ) ) ),
inference(cnf,[status(esa)],[thm_2Eoption_2Eoption__CLAUSES]) ).
thf(zip_derived_cl61,plain,
! [X0: d,X1: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X1 ) ) ) ),
inference(cnf,[status(esa)],[thm_2Eoption_2Eoption__CLAUSES]) ).
thf(zip_derived_cl60,plain,
! [X0: d,X1: u] :
( ( s @ X0 @ ( c_2Eoption_2ETHE_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X1 ) ) ) ) )
= ( s @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[thm_2Eoption_2Eoption__CLAUSES]) ).
thf(zip_derived_cl84,plain,
! [X0: u,X1: u,X2: u,X3: u,X4: u,X5: d,X6: d] :
( ( zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4 @ X5 @ X6 )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X6 ) @ X3 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X6 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X6 @ X1 ) ) ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X5 ) @ X2 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X5 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X5 @ X0 ) ) ) )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X6 @ ( tyop_2Emin_2Efun @ X5 @ tyop_2Emin_2Ebool ) ) @ X4 ) @ ( s @ X6 @ X1 ) ) ) @ ( s @ X5 @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl82,plain,
! [X0: d,X1: u,X2: u,X3: u,X4: u,X5: u,X6: d] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X2 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X1 ) ) ) )
| ~ ( zip_tseitin_0 @ X1 @ X3 @ X2 @ X4 @ X5 @ X0 @ X6 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl78,plain,
! [X0: d,X1: d,X2: u] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2EOPTION__MAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ c_2Eoption_2ENONE_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ),
inference(cnf,[status(esa)],[thm_2Eoption_2Eoption__CLAUSES]) ).
thf(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [V0t: $o] :
( ( ( V0t
<=> mono_2Ec_2Ebool_2EF )
<=> ~ V0t )
& ( ( mono_2Ec_2Ebool_2EF
<=> V0t )
<=> ~ V0t )
& ( ( V0t
<=> mono_2Ec_2Ebool_2ET )
<=> V0t )
& ( ( mono_2Ec_2Ebool_2ET
<=> V0t )
<=> V0t ) ) ).
thf(zip_derived_cl47,plain,
! [X0: $o] :
( X0
| mono_2Ec_2Ebool_2ET
| X0 ),
inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).
thf(zip_derived_cl88,plain,
! [X0: u,X1: u,X2: u,X3: d,X4: d] :
( ( zip_tseitin_0 @ ( sk__2 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__1 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ X0 @ X1 @ X2 @ X3 @ X4 )
| ( zip_tseitin_1 @ X0 @ X1 @ X3 @ X4 )
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ ( tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X4 ) @ X1 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl83,plain,
! [X0: d,X1: u,X2: u,X3: u,X4: u,X5: u,X6: d] :
( ( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X2 )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ X0 @ X1 ) ) ) )
| ~ ( zip_tseitin_0 @ X3 @ X1 @ X4 @ X2 @ X5 @ X6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl87,plain,
! [X0: u,X1: u,X2: d,X3: d] :
( ( zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ X0 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X2 ) @ c_2Eoption_2ENONE_2E0 ) )
| ( ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ X1 )
!= ( s @ ( tyop_2Eoption_2Eoption @ X3 ) @ c_2Eoption_2ENONE_2E0 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl54,plain,
! [X0: $o] :
( ~ X0
| ~ mono_2Ec_2Ebool_2EF
| ~ X0 ),
inference(cnf,[status(esa)],[thm_2Ebool_2EEQ__CLAUSES]) ).
thf(zip_derived_cl101,plain,
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__4 ) ) ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ sk__3 @ sk__4 ) ) ) )
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__4 ) ) ) ) ) )
| mono_2Ec_2Ebool_2EF
| ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ ( c_2Eoption_2ESOME_2E1 @ ( s @ sk__3 @ sk__5 ) ) ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) )
| mono_2Ec_2Ebool_2EF
| ~ mono_2Ec_2Ebool_2ET
| ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ sk__3 @ ( tyop_2Emin_2Efun @ sk__3 @ tyop_2Emin_2Ebool ) ) @ sk__6 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) @ ( s @ ( tyop_2Eoption_2Eoption @ sk__3 ) @ c_2Eoption_2ENONE_2E0 ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_5]) ).
thf(zip_derived_cl79,plain,
! [X0: d] :
( ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ ( c_2Eoption_2EOPTION__JOIN_2E1 @ ( s @ ( tyop_2Eoption_2Eoption @ ( tyop_2Eoption_2Eoption @ X0 ) ) @ c_2Eoption_2ENONE_2E0 ) ) )
= ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ c_2Eoption_2ENONE_2E0 ) ),
inference(cnf,[status(esa)],[thm_2Eoption_2Eoption__CLAUSES]) ).
thf(zip_derived_cl89,plain,
! [X0: d,X1: d,X2: u,X3: u,X4: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2Eoption_2EOPTREL_2E3 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) ) @ X2 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X0 ) @ X3 ) @ ( s @ ( tyop_2Eoption_2Eoption @ X1 ) @ X4 ) ) ) )
| ~ ( zip_tseitin_1 @ X4 @ X3 @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_4]) ).
thf(zip_derived_cl14836,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl90,zip_derived_cl93,zip_derived_cl81,zip_derived_cl86,zip_derived_cl1,zip_derived_cl85,zip_derived_cl77,zip_derived_cl61,zip_derived_cl60,zip_derived_cl84,zip_derived_cl82,zip_derived_cl78,zip_derived_cl47,zip_derived_cl88,zip_derived_cl83,zip_derived_cl87,zip_derived_cl54,zip_derived_cl101,zip_derived_cl79,zip_derived_cl89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ITP011^1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3XwyKMgZbo true
% 0.14/0.38 % Computer : n031.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38 % CPULimit : 300
% 0.14/0.38 % WCLimit : 300
% 0.14/0.38 % DateTime : Sun Aug 27 16:47:54 EDT 2023
% 0.14/0.38 % CPUTime :
% 0.14/0.38 % Running portfolio for 300 s
% 0.14/0.38 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.6.8
% 0.14/0.39 % Running in HO mode
% 0.21/0.70 % Total configuration time : 828
% 0.21/0.70 % Estimated wc time : 1656
% 0.21/0.70 % Estimated cpu time (8 cpus) : 207.0
% 1.16/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.16/0.77 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.16/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.16/0.79 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.95 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 85.99/11.58 % Solved by lams/40_c_ic.sh.
% 85.99/11.58 % done 1220 iterations in 10.780s
% 85.99/11.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 85.99/11.58 % SZS output start Refutation
% See solution above
% 85.99/11.58
% 85.99/11.58
% 85.99/11.58 % Terminating...
% 85.99/11.63 % Runner terminated.
% 85.99/11.64 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------