TSTP Solution File: PLA053^18 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PLA053^18 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ifQv8vXb17 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 13:05:25 EDT 2023
% Result : Theorem 0.74s 0.79s
% Output : Refutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 37
% Syntax : Number of formulae : 81 ( 36 unt; 17 typ; 0 def)
% Number of atoms : 182 ( 18 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 432 ( 45 ~; 41 |; 15 &; 307 @)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 5 con; 0-3 aty)
% Number of variables : 127 ( 45 ^; 75 !; 7 ?; 127 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(h_type,type,
h: $i > mworld > $o ).
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(sk__8_type,type,
sk__8: mworld ).
thf(defused_type,type,
defused: $i > mworld > $o ).
thf(sk__7_type,type,
sk__7: $i > mworld > $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(bomb_type,type,
bomb: $i > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > 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(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] :
( ( eiw_di @ X6 @ X4 )
=> ? [X8: $i] :
( ( ( ( bomb @ X6 @ X4 )
& ( h @ X8 @ X4 ) )
=> ( defused @ X6 @ X4 ) )
& ( eiw_di @ X8 @ X4 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ? [X8: $i] :
( ( ( ( bomb @ X6 @ X4 )
& ( h @ X8 @ X4 ) )
=> ( defused @ X6 @ X4 ) )
& ( eiw_di @ X8 @ X4 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
eiw_di @ sk__9 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(eiw_di_cumul,axiom,
! [W: mworld,V: mworld,X: $i] :
( ( ( eiw_di @ X @ W )
& ( mrel @ W @ V ) )
=> ( eiw_di @ X @ V ) ) ).
thf(zip_derived_cl2,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( mrel @ X0 @ X1 )
| ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[eiw_di_cumul]) ).
thf(mrel_universal,axiom,
! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
thf(zip_derived_cl0,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl20,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl21,plain,
! [X0: mworld] : ( eiw_di @ sk__9 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).
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] :
( ( eiw_di @ X6 @ X4 )
=> ? [X8: $i] :
( ! [X10: mworld] :
( ( mrel @ X4 @ X10 )
=> ( ( ( bomb @ X6 @ X10 )
& ( h @ X8 @ X10 ) )
=> ( defused @ X6 @ X10 ) ) )
& ( eiw_di @ X8 @ X4 ) ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ( eiw_di @ ( sk__7 @ X0 @ X1 ) @ X1 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl0_001,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl69,plain,
! [X0: $i,X1: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ( eiw_di @ ( sk__7 @ X0 @ X1 ) @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i] :
( ( h @ X0 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: mworld,X2: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ~ ( mrel @ X1 @ X2 )
| ( defused @ X0 @ X2 )
| ~ ( h @ ( sk__7 @ X0 @ X1 ) @ X2 )
| ~ ( bomb @ X0 @ X2 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl0_002,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_003,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: mworld,X2: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ( defused @ X0 @ X2 )
| ~ ( h @ ( sk__7 @ X0 @ X1 ) @ X2 )
| ~ ( bomb @ X0 @ X2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl85,plain,
! [X0: mworld,X1: $i] :
( ~ ( eiw_di @ ( sk__7 @ X1 @ X0 ) @ sk__8 )
| ~ ( bomb @ X1 @ sk__8 )
| ( defused @ X1 @ sk__8 )
| ~ ( eiw_di @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl84]) ).
thf(zip_derived_cl87,plain,
! [X0: $i] :
( ~ ( eiw_di @ X0 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 )
| ( defused @ X0 @ sk__8 )
| ~ ( bomb @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl85]) ).
thf(zip_derived_cl89,plain,
! [X0: $i] :
( ~ ( bomb @ X0 @ sk__8 )
| ( defused @ X0 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl10,plain,
! [X0: $i] :
( ~ ( defused @ sk__9 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl91,plain,
! [X0: $i] :
( ~ ( eiw_di @ sk__9 @ sk__8 )
| ~ ( bomb @ sk__9 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl89,zip_derived_cl10]) ).
thf(zip_derived_cl21_004,plain,
! [X0: mworld] : ( eiw_di @ sk__9 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl20]) ).
thf(zip_derived_cl11_005,plain,
! [X0: $i] :
( ( h @ X0 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl13_006,plain,
eiw_di @ sk__9 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(ax2,axiom,
( mlocal
@ ( mexists_di
@ ^ [A: $i] :
( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( mand @ ( bomb @ X ) @ ( h @ A ) ) @ ( mbox @ ( bomb @ X ) ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
? [X4: $i] :
( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ X6 )
=> ( ( ( bomb @ X8 @ X6 )
& ( h @ X4 @ X6 ) )
=> ! [X10: mworld] :
( ( mrel @ X6 @ X10 )
=> ( bomb @ X8 @ X10 ) ) ) ) )
& ( eiw_di @ X4 @ mactual ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: mworld,X2: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ( bomb @ X0 @ X2 )
| ~ ( mrel @ X1 @ X2 )
| ~ ( bomb @ X0 @ X1 )
| ~ ( h @ sk__6 @ X1 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl0_007,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl0_008,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl31,plain,
! [X0: $i,X1: mworld,X2: mworld] :
( ~ ( eiw_di @ X0 @ X1 )
| ( bomb @ X0 @ X2 )
| ~ ( bomb @ X0 @ X1 )
| ~ ( h @ sk__6 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl0,zip_derived_cl0]) ).
thf(zip_derived_cl32,plain,
! [X0: mworld] :
( ~ ( h @ sk__6 @ sk__8 )
| ~ ( bomb @ sk__9 @ sk__8 )
| ( bomb @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl31]) ).
thf(zip_derived_cl13_009,plain,
eiw_di @ sk__9 @ sk__8,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ( bomb @ sk__9 @ sk__8 )
| ~ ( eiw_di @ X0 @ sk__8 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl14,plain,
bomb @ sk__9 @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).
thf(zip_derived_cl40,plain,
! [X0: mworld] :
( ~ ( h @ sk__6 @ sk__8 )
| ( bomb @ sk__9 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl14]) ).
thf(zip_derived_cl53,plain,
! [X0: mworld] :
( ~ ( eiw_di @ sk__6 @ sk__8 )
| ( bomb @ sk__9 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl40]) ).
thf(zip_derived_cl5,plain,
eiw_di @ sk__6 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl20_010,plain,
! [X0: mworld,X1: mworld,X2: $i] :
( ~ ( eiw_di @ X2 @ X0 )
| ( eiw_di @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl0]) ).
thf(zip_derived_cl22,plain,
! [X0: mworld] : ( eiw_di @ sk__6 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl20]) ).
thf(zip_derived_cl56,plain,
! [X0: mworld] : ( bomb @ sk__9 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl53,zip_derived_cl22]) ).
thf(zip_derived_cl93,plain,
! [X0: $i] :
~ ( eiw_di @ X0 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl91,zip_derived_cl21,zip_derived_cl56]) ).
thf(zip_derived_cl95,plain,
$false,
inference('sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : PLA053^18 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ifQv8vXb17 true
% 0.14/0.35 % Computer : n031.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 : Sun Aug 27 06:38:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.22/0.66 % Total configuration time : 828
% 0.22/0.66 % Estimated wc time : 1656
% 0.22/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.74/0.79 % Solved by lams/40_c.s.sh.
% 0.74/0.79 % done 41 iterations in 0.040s
% 0.74/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.74/0.79 % SZS output start Refutation
% See solution above
% 0.74/0.79
% 0.74/0.79
% 0.74/0.79 % Terminating...
% 1.57/0.86 % Runner terminated.
% 1.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------