TSTP Solution File: SYO891^16 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO891^16 : TPTP v8.1.2. Released v8.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAkbLwklEU true
% Computer : n024.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 : Fri Sep 1 05:53:09 EDT 2023
% Result : Theorem 1.38s 0.78s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 29
% Syntax : Number of formulae : 47 ( 24 unt; 14 typ; 0 def)
% Number of atoms : 103 ( 18 equ; 0 cnn)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 207 ( 13 ~; 8 |; 17 &; 151 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 57 ( 57 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 77 ( 40 ^; 21 !; 16 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
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(sk__5_type,type,
sk__5: $i ).
thf(mactual_type,type,
mactual: mworld ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(p_type,type,
p: $i > mworld > $o ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(sk__6_type,type,
sk__6: mworld ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
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(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
@ ( mimplies
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mexists_di
@ ^ [Y: $i] : ( qmltpeq @ X @ Y ) ) ) )
@ ( mimplies
@ ( mexists_di
@ ^ [X: $i] : ( mdia @ ( p @ X ) ) )
@ ( mdia
@ ( mexists_di
@ ^ [X: $i] : ( p @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ? [X8: $i] :
( ( qmltpeq @ X4 @ X8 @ X6 )
& ( eiw_di @ X8 @ X6 ) ) ) )
=> ( ? [X10: $i] :
( ? [X12: mworld] :
( ( p @ X10 @ X12 )
& ( mrel @ mactual @ X12 ) )
& ( eiw_di @ X10 @ mactual ) )
=> ? [X14: mworld] :
( ? [X16: $i] :
( ( p @ X16 @ X14 )
& ( eiw_di @ X16 @ X14 ) )
& ( mrel @ mactual @ X14 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ? [X8: $i] :
( ( qmltpeq @ X4 @ X8 @ X6 )
& ( eiw_di @ X8 @ X6 ) ) ) )
=> ( ? [X10: $i] :
( ? [X12: mworld] :
( ( p @ X10 @ X12 )
& ( mrel @ mactual @ X12 ) )
& ( eiw_di @ X10 @ mactual ) )
=> ? [X14: mworld] :
( ? [X16: $i] :
( ( p @ X16 @ X14 )
& ( eiw_di @ X16 @ X14 ) )
& ( mrel @ mactual @ X14 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13,plain,
eiw_di @ sk__5 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl11,plain,
mrel @ mactual @ sk__6,
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_cl3,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(zip_derived_cl30,plain,
! [X0: $i] :
( ( eiw_di @ X0 @ sk__6 )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl3]) ).
thf(zip_derived_cl10,plain,
! [X2: $i,X3: mworld] :
( ~ ( eiw_di @ X2 @ X3 )
| ~ ( p @ X2 @ X3 )
| ~ ( mrel @ mactual @ X3 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl38,plain,
! [X0: $i] :
( ~ ( eiw_di @ X0 @ mactual )
| ~ ( mrel @ mactual @ sk__6 )
| ~ ( p @ X0 @ sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl10]) ).
thf(zip_derived_cl11_001,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl40,plain,
! [X0: $i] :
( ~ ( eiw_di @ X0 @ mactual )
| ~ ( p @ X0 @ sk__6 ) ),
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl11]) ).
thf(zip_derived_cl42,plain,
~ ( p @ sk__5 @ sk__6 ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl40]) ).
thf(zip_derived_cl12,plain,
p @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl46,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO891^16 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gAkbLwklEU true
% 0.15/0.35 % Computer : n024.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 07:00:24 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.23/0.67 % Total configuration time : 828
% 0.23/0.67 % Estimated wc time : 1656
% 0.23/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.21/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.21/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.38/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.38/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.38/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.38/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.38/0.78 % Solved by lams/40_c.s.sh.
% 1.38/0.78 % done 21 iterations in 0.032s
% 1.38/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.78 % SZS output start Refutation
% See solution above
% 1.38/0.78
% 1.38/0.78
% 1.38/0.78 % Terminating...
% 1.63/0.87 % Runner terminated.
% 1.91/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------