%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PLA053^4 : TPTP v9.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2YccgdSSi true
% Computer : n022.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 04:49:16 PM UTC 2025
% Result : Theorem 0.57s 0.75s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 35 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 93 ( 18 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 171 ( 13 ~; 10 |; 6 &; 129 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 43 ^; 23 !; 6 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(sk__7_type,type,
sk__7: mworld ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(defused_type,type,
defused: $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(bomb_type,type,
bomb: $i > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(sk__6_type,type,
sk__6: $i > mworld > $i ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(h_type,type,
h: $i > mworld > $o ).
thf(mexists_di_def,axiom,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mexists_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
? [X: $i] : ( A @ 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 ) ) ),
define([status(thm)]) ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('2',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( 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] : ( V_1 @ X4 @ V_2 ) ) ),
define([status(thm)]) ).
thf(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('4',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('5',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('6',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('7',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('8',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('9',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('10',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('11',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
? [X8: $i] :
( ( ( bomb @ X6 @ X4 )
& ( h @ X8 @ X4 ) )
=> ( defused @ X6 @ X4 ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
? [X8: $i] :
( ( ( bomb @ X6 @ X4 )
& ( h @ X8 @ X4 ) )
=> ( defused @ X6 @ X4 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
mrel @ mactual @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i] : ( h @ X0 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ax3,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mexists_di
@ ^ [D: $i] : ( mbox @ ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ D ) ) @ ( defused @ X ) ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
? [X8: $i] :
! [X10: mworld] :
( ( mrel @ X4 @ X10 )
=> ( ( ( bomb @ X6 @ X10 )
& ( h @ X8 @ X10 ) )
=> ( defused @ X6 @ X10 ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( mrel @ X0 @ X1 )
| ( defused @ X2 @ X1 )
| ~ ( h @ ( sk__6 @ X2 @ X0 ) @ X1 )
| ~ ( bomb @ X2 @ X1 )
| ~ ( mrel @ mactual @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl36,plain,
! [X0: mworld,X1: $i] :
( ~ ( mrel @ mactual @ X0 )
| ~ ( bomb @ X1 @ sk__7 )
| ( defused @ X1 @ sk__7 )
| ~ ( mrel @ X0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl4]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( mrel @ sk__7 @ sk__7 )
| ( defused @ X0 @ sk__7 )
| ~ ( bomb @ X0 @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl36]) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld] : ( mrel @ X0 @ X0 ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(zip_derived_cl42,plain,
! [X0: $i] :
( ( defused @ X0 @ sk__7 )
| ~ ( bomb @ X0 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl0]) ).
thf(zip_derived_cl6,plain,
~ ( defused @ sk__8 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
~ ( bomb @ sk__8 @ sk__7 ),
inference('sup-',[status(thm)],[zip_derived_cl42,zip_derived_cl6]) ).
thf(zip_derived_cl7,plain,
bomb @ sk__8 @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl48,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PLA053^4 : TPTP v9.2.0. Released v8.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.k2YccgdSSi true
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 11:03:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.56/0.68 % Total configuration time : 828
% 0.56/0.68 % Estimated wc time : 1656
% 0.56/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.75 % Solved by lams/40_c.s.sh.
% 0.57/0.75 % done 18 iterations in 0.019s
% 0.57/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.75 % SZS output start Refutation
% See solution above
% 0.57/0.75
% 0.57/0.75
% 0.57/0.75 % Terminating...
% 0.68/0.87 % Runner terminated.
% 1.78/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------