%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET574^20 : 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.FL3CodUoXM true
% Computer : n029.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 04:52:15 PM UTC 2025
% Result : Theorem 0.49s 0.75s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 35 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 102 ( 18 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 232 ( 14 ~; 12 |; 10 &; 176 @)
% ( 4 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-3 aty)
% Number of variables : 68 ( 48 ^; 16 !; 4 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(member_type,type,
member: $i > $i > mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(intersect_type,type,
intersect: $i > $i > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] :
( ( eiw_di @ X @ W )
=> ( A @ X @ W ) ) ) ) ).
thf('0',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('1',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(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('2',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('3',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('4',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('5',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('6',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('7',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(prove_th13,conjecture,
( mlocal
@ ( mforall_di
@ ^ [B: $i] :
( mforall_di
@ ^ [C: $i] :
( mforall_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( member @ B @ C ) @ ( member @ B @ D ) ) @ ( intersect @ C @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ mactual )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ( ( ( member @ X4 @ X6 @ mactual )
& ( member @ X4 @ X8 @ mactual ) )
=> ( intersect @ X6 @ X8 @ mactual ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ mactual )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ( ( ( member @ X4 @ X6 @ mactual )
& ( member @ X4 @ X8 @ mactual ) )
=> ( intersect @ X6 @ X8 @ mactual ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
~ ( intersect @ sk__7 @ sk__8 @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
member @ sk__6 @ sk__8 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
member @ sk__6 @ sk__7 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] :
( ( A @ X @ W )
& ( eiw_di @ X @ W ) ) ) ) ).
thf('8',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('9',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(mequiv_def,axiom,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf('10',plain,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).
thf('11',plain,
( mequiv
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
<=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(intersect_defn,axiom,
( mlocal
@ ( mforall_di
@ ^ [B: $i] :
( mforall_di
@ ^ [C: $i] :
( mequiv @ ( intersect @ B @ C )
@ ( mexists_di
@ ^ [D: $i] : ( mand @ ( member @ D @ B ) @ ( member @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ mactual )
=> ( ( intersect @ X4 @ X6 @ mactual )
<=> ? [X8: $i] :
( ( member @ X8 @ X4 @ mactual )
& ( member @ X8 @ X6 @ mactual )
& ( eiw_di @ X8 @ mactual ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( eiw_di @ X0 @ mactual )
| ~ ( member @ X1 @ X2 @ mactual )
| ~ ( member @ X1 @ X0 @ mactual )
| ~ ( eiw_di @ X1 @ mactual )
| ( intersect @ X2 @ X0 @ mactual )
| ~ ( eiw_di @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl17,plain,
! [X0: $i] :
( ~ ( eiw_di @ sk__7 @ mactual )
| ( intersect @ sk__7 @ X0 @ mactual )
| ~ ( eiw_di @ sk__6 @ mactual )
| ~ ( member @ sk__6 @ X0 @ mactual )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl6]) ).
thf(zip_derived_cl13,plain,
eiw_di @ sk__7 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
eiw_di @ sk__6 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: $i] :
( ( intersect @ sk__7 @ X0 @ mactual )
| ~ ( member @ sk__6 @ X0 @ mactual )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl13,zip_derived_cl8]) ).
thf(zip_derived_cl50,plain,
( ~ ( eiw_di @ sk__8 @ mactual )
| ( intersect @ sk__7 @ sk__8 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl24]) ).
thf(zip_derived_cl9,plain,
eiw_di @ sk__8 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl56,plain,
intersect @ sk__7 @ sk__8 @ mactual,
inference(demod,[status(thm)],[zip_derived_cl50,zip_derived_cl9]) ).
thf(zip_derived_cl64,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl10,zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SET574^20 : TPTP v9.2.0. Released v8.1.0.
% 0.10/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.FL3CodUoXM true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:03:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.47/0.59 % Total configuration time : 828
% 0.47/0.59 % Estimated wc time : 1656
% 0.47/0.59 % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.48/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.48/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.49/0.75 % Solved by lams/40_noforms.sh.
% 0.49/0.75 % done 23 iterations in 0.024s
% 0.49/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.75 % SZS output start Refutation
% See solution above
% 0.49/0.75
% 0.49/0.75
% 0.49/0.75 % Terminating...
% 0.53/0.81 % Runner terminated.
% 0.53/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------