%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO889^16 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qp1cz8Fgyd true
% Computer : n023.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 Oct 2 05:08:28 PM UTC 2025
% Result : Theorem 0.55s 0.78s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 40 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 133 ( 21 equ; 0 cnn)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 294 ( 27 ~; 20 |; 25 &; 205 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 15 usr; 4 con; 0-3 aty)
% Number of variables : 90 ( 48 ^; 24 !; 18 ?; 90 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(b_type,type,
b: $i > mworld > $o ).
thf(a_type,type,
a: $i > mworld > $o ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(sk__6_type,type,
sk__6: mworld ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(sk__5_type,type,
sk__5: $i > mworld > mworld ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).
thf('1',plain,
( mexists_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
? [X4: $i] :
( ( V_1 @ X4 @ V_2 )
& ( eiw_di @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf('2',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mforall_di_def]) ).
thf('3',plain,
( mforall_di
= ( ^ [V_1: $i > mworld > $o,V_2: mworld] :
! [X4: $i] :
( ( eiw_di @ X4 @ V_2 )
=> ( V_1 @ X4 @ V_2 ) ) ) ),
define([status(thm)]) ).
thf(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('4',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('5',plain,
( mdia
= ( ^ [V_1: mworld > $o,V_2: mworld] :
? [X4: mworld] :
( ( V_1 @ X4 )
& ( mrel @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('6',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('7',plain,
( mbox
= ( ^ [V_1: mworld > $o,V_2: mworld] :
! [X4: mworld] :
( ( mrel @ V_2 @ X4 )
=> ( V_1 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('8',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('9',plain,
( mimplies
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('10',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('11',plain,
( mand
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
& ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('12',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('13',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mand
@ ( mdia
@ ( mexists_di
@ ^ [X: $i] : ( mbox @ ( a @ X ) ) ) )
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mdia @ ( b @ X ) ) ) ) )
@ ( mdia
@ ( mexists_di
@ ^ [X: $i] : ( mdia @ ( mand @ ( a @ X ) @ ( b @ X ) ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ? [X4: mworld] :
( ? [X6: $i] :
( ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( a @ X6 @ X8 ) )
& ( eiw_di @ X6 @ X4 ) )
& ( mrel @ mactual @ X4 ) )
& ! [X10: mworld] :
( ( mrel @ mactual @ X10 )
=> ! [X12: $i] :
( ( eiw_di @ X12 @ X10 )
=> ? [X14: mworld] :
( ( b @ X12 @ X14 )
& ( mrel @ X10 @ X14 ) ) ) ) )
=> ? [X16: mworld] :
( ? [X18: $i] :
( ? [X20: mworld] :
( ( a @ X18 @ X20 )
& ( b @ X18 @ X20 )
& ( mrel @ X16 @ X20 ) )
& ( eiw_di @ X18 @ X16 ) )
& ( mrel @ mactual @ X16 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ? [X4: mworld] :
( ? [X6: $i] :
( ! [X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( a @ X6 @ X8 ) )
& ( eiw_di @ X6 @ X4 ) )
& ( mrel @ mactual @ X4 ) )
& ! [X10: mworld] :
( ( mrel @ mactual @ X10 )
=> ! [X12: $i] :
( ( eiw_di @ X12 @ X10 )
=> ? [X14: mworld] :
( ( b @ X12 @ X14 )
& ( mrel @ X10 @ X14 ) ) ) ) )
=> ? [X16: mworld] :
( ? [X18: $i] :
( ? [X20: mworld] :
( ( a @ X18 @ X20 )
& ( b @ X18 @ X20 )
& ( mrel @ X16 @ X20 ) )
& ( eiw_di @ X18 @ X16 ) )
& ( mrel @ mactual @ X16 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl7,plain,
! [X1: $i,X2: mworld] :
( ~ ( eiw_di @ X1 @ X2 )
| ( mrel @ X2 @ ( sk__5 @ X1 @ X2 ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X1: $i,X2: mworld] :
( ~ ( eiw_di @ X1 @ X2 )
| ( b @ X1 @ ( sk__5 @ X1 @ X2 ) )
| ~ ( mrel @ mactual @ X2 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
eiw_di @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
! [X3: $i,X4: mworld,X5: mworld] :
( ~ ( eiw_di @ X3 @ X4 )
| ~ ( a @ X3 @ X5 )
| ~ ( b @ X3 @ X5 )
| ~ ( mrel @ X4 @ X5 )
| ~ ( mrel @ mactual @ X4 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ sk__6 )
| ~ ( mrel @ sk__6 @ X0 )
| ~ ( b @ sk__7 @ X0 )
| ~ ( a @ sk__7 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).
thf(zip_derived_cl6,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
! [X0: mworld] :
( ~ ( mrel @ sk__6 @ X0 )
| ~ ( b @ sk__7 @ X0 )
| ~ ( a @ sk__7 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl6]) ).
thf(zip_derived_cl5,plain,
! [X0: mworld] :
( ( a @ sk__7 @ X0 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl50,plain,
! [X0: mworld] :
( ~ ( b @ sk__7 @ X0 )
| ~ ( mrel @ sk__6 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl46,zip_derived_cl5]) ).
thf(zip_derived_cl60,plain,
! [X0: mworld] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( eiw_di @ sk__7 @ X0 )
| ~ ( mrel @ sk__6 @ ( sk__5 @ sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl50]) ).
thf(zip_derived_cl68,plain,
( ~ ( mrel @ mactual @ sk__6 )
| ~ ( eiw_di @ sk__7 @ sk__6 )
| ~ ( eiw_di @ sk__7 @ sk__6 )
| ~ ( mrel @ mactual @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl60]) ).
thf(zip_derived_cl6_001,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_002,plain,
eiw_di @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4_003,plain,
eiw_di @ sk__7 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6_004,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl70,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl68,zip_derived_cl6,zip_derived_cl4,zip_derived_cl4,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : SYO889^16 : TPTP v9.2.0. Released v8.1.0.
% 0.02/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.qp1cz8Fgyd true
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 18:01:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.78 % Solved by lams/40_c.s.sh.
% 0.55/0.78 % done 33 iterations in 0.028s
% 0.55/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.78 % SZS output start Refutation
% See solution above
% 0.55/0.78
% 0.55/0.78
% 0.55/0.78 % Terminating...
% 0.68/0.88 % Runner terminated.
% 0.68/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------