%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL585^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DJQSNwsaT8 true
% Computer : n011.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 : Mon Sep 7 01:36:14 PM UTC 2026
% Result : Theorem 0.51s 0.88s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 24 unt; 0 typ; 0 def)
% Number of atoms : 131 ( 18 equ; 9 cnn)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 232 ( 29 ~; 21 |; 15 &; 148 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 11 usr; 6 con; 0-3 aty)
% ( 4 !!; 6 ??; 0 @@+; 0 @@-)
% Number of variables : 73 ( 52 ^; 14 !; 7 ?; 73 :)
% Comments :
%------------------------------------------------------------------------------
thf(r_type,type,
r: $i > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(a_type,type,
a: $i > $o ).
thf('#sk2_type',type,
'#sk2': $i ).
thf(b_type,type,
b: $i > $o ).
thf(mimpl_type,type,
mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mdia_type,type,
mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mbox_type,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk1_type',type,
'#sk1': $i ).
thf(mvalid,axiom,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ) ).
thf('0',plain,
( mvalid
= ( ^ [P: $i > $o] :
! [W: $i] : ( P @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mvalid]) ).
thf('1',plain,
( mvalid
= ( ^ [V_1: $i > $o] :
! [X4: $i] : ( V_1 @ X4 ) ) ),
define([status(thm)]) ).
thf(mdia,axiom,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( P @ Y )
& ( R @ X @ Y ) ) ) ) ).
thf('2',plain,
( mdia
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
? [Y: $i] :
( ( P @ Y )
& ( R @ X @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia]) ).
thf('3',plain,
( mdia
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
? [X4: $i] :
( ( V_2 @ X4 )
& ( V_1 @ V_3 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mbox,axiom,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
! [Y: $i] :
( ( R @ X @ Y )
=> ( P @ Y ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox]) ).
thf('5',plain,
( mbox
= ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
! [X4: $i] :
( ( V_1 @ V_3 @ X4 )
=> ( V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimpl,axiom,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).
thf(mor,axiom,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ) ).
thf('6',plain,
( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( X @ U )
| ( Y @ U ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mor]) ).
thf('7',plain,
( mor
= ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
( ( V_1 @ V_3 )
| ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot,axiom,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ) ).
thf('8',plain,
( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot]) ).
thf('9',plain,
( mnot
= ( ^ [V_1: $i > $o,V_2: $i] :
~ ( V_1 @ V_2 ) ) ),
define([status(thm)]) ).
thf('10',plain,
( mimpl
= ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimpl,'7','9']) ).
thf('11',plain,
( mimpl
= ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
define([status(thm)]) ).
thf(thm,conjecture,
mvalid @ ( mimpl @ ( mdia @ r @ ( mimpl @ a @ b ) ) @ ( mimpl @ ( mbox @ r @ a ) @ ( mdia @ r @ b ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ? [X10: $i] :
( ( r @ X4 @ X10 )
& ( b @ X10 ) )
| ~ ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( a @ X8 ) )
| ~ ? [X6: $i] :
( ( r @ X4 @ X6 )
& ( ( b @ X6 )
| ~ ( a @ X6 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ? [X10: $i] :
( ( r @ X4 @ X10 )
& ( b @ X10 ) )
| ~ ! [X8: $i] :
( ( r @ X4 @ X8 )
=> ( a @ X8 ) )
| ~ ? [X6: $i] :
( ( r @ X4 @ X6 )
& ( ( b @ X6 )
| ~ ( a @ X6 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( ??
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
& ( b @ Y1 ) ) )
| ( (~)
@ ( !!
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
=> ( a @ Y1 ) ) ) )
| ( (~)
@ ( ??
@ ^ [Y1: $i] :
( ( r @ Y0 @ Y1 )
& ( ( b @ Y1 )
| ( (~) @ ( a @ Y1 ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
~ ( ( ??
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
& ( b @ Y0 ) ) )
| ( (~)
@ ( !!
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
=> ( a @ Y0 ) ) ) )
| ( (~)
@ ( ??
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
& ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
( ??
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
& ( ( b @ Y0 )
| ( (~) @ ( a @ Y0 ) ) ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl9,plain,
( ( r @ '#sk1' @ '#sk2' )
& ( ( b @ '#sk2' )
| ( (~) @ ( a @ '#sk2' ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
( ( b @ '#sk2' )
| ( (~) @ ( a @ '#sk2' ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl14,plain,
( ( b @ '#sk2' )
| ~ ( a @ '#sk2' ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl12,plain,
r @ '#sk1' @ '#sk2',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl4,plain,
~ ( ??
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
& ( b @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl7,plain,
! [X2: $i] :
~ ( ( r @ '#sk1' @ X2 )
& ( b @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl10,plain,
! [X2: $i] :
( ~ ( r @ '#sk1' @ X2 )
| ~ ( b @ X2 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).
thf(zip_derived_cl15,plain,
~ ( b @ '#sk2' ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).
thf(zip_derived_cl17,plain,
~ ( a @ '#sk2' ),
inference(clc,[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).
thf(zip_derived_cl12_001,plain,
r @ '#sk1' @ '#sk2',
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ( r @ '#sk1' @ Y0 )
=> ( a @ Y0 ) ) ),
inference(lazy_cnf_or,[status(thm)],[zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
! [X2: $i] :
( ( r @ '#sk1' @ X2 )
=> ( a @ X2 ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl11,plain,
! [X2: $i] :
( ~ ( r @ '#sk1' @ X2 )
| ( a @ X2 ) ),
inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).
thf(zip_derived_cl18,plain,
a @ '#sk2',
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).
thf(zip_derived_cl20,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL585^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DJQSNwsaT8 true
% 0.13/0.38 % Computer : n011.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 4 17:05:13 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 % Running portfolio for 300 s
% 0.13/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 % Number of cores: 8
% 0.13/0.39 % Python version: Python 3.12.3
% 0.13/0.39 % Running in HO mode
% 0.44/0.69 % Total configuration time : 828
% 0.44/0.69 % Estimated wc time : 1656
% 0.44/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.84 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.86 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.88 % Solved by lams/15_e_short1.sh.
% 0.51/0.88 % done 6 iterations in 0.021s
% 0.51/0.88 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.88 % SZS output start Refutation
% See solution above
% 0.51/0.88
% 0.51/0.88
% 0.51/0.88 % Terminating...
% 0.55/0.94 % Runner terminated.
% 0.55/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------