TSTP Solution File: SYO892^15 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO892^15 : 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.PfPIMJ80pi true
% Computer : n014.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 0.20s 0.76s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of formulae : 38 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 70 ( 12 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 139 ( 11 ~; 6 |; 8 &; 101 @)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 49 ( 26 ^; 16 !; 7 ?; 49 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(f_type,type,
f: $i > mworld > $o ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(sk__7_type,type,
sk__7: mworld ).
thf(mactual_type,type,
mactual: mworld ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(sk__6_type,type,
sk__6: $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > 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(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('2',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('3',plain,
( mdia
= ( ^ [V_1: mworld > $o,V_2: mworld] :
? [X4: mworld] :
( ( V_1 @ X4 )
& ( mrel @ V_2 @ X4 ) ) ) ),
define([status(thm)]) ).
thf(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('4',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('5',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('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(con,conjecture,
( mlocal
@ ( mimplies
@ ( mdia
@ ( mforall_di
@ ^ [X: $i] : ( f @ X ) ) )
@ ( mforall_di
@ ^ [X: $i] : ( mdia @ ( f @ X ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ? [X4: mworld] :
( ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ( f @ X6 @ X4 ) )
& ( mrel @ mactual @ X4 ) )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ? [X10: mworld] :
( ( f @ X8 @ X10 )
& ( mrel @ mactual @ X10 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ? [X4: mworld] :
( ! [X6: $i] :
( ( eiw_di @ X6 @ X4 )
=> ( f @ X6 @ X4 ) )
& ( mrel @ mactual @ X4 ) )
=> ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ? [X10: mworld] :
( ( f @ X8 @ X10 )
& ( mrel @ mactual @ X10 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
mrel @ mactual @ sk__7,
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(zip_derived_cl11,plain,
! [X0: $i] :
( ( eiw_di @ X0 @ sk__7 )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( f @ X0 @ sk__7 )
| ~ ( eiw_di @ X0 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl5,plain,
! [X1: mworld] :
( ~ ( f @ sk__6 @ X1 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
( ~ ( eiw_di @ sk__6 @ sk__7 )
| ~ ( mrel @ mactual @ sk__7 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl5]) ).
thf(zip_derived_cl4_001,plain,
mrel @ mactual @ sk__7,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl9,plain,
~ ( eiw_di @ sk__6 @ sk__7 ),
inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl15,plain,
~ ( eiw_di @ sk__6 @ mactual ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl9]) ).
thf(zip_derived_cl6,plain,
eiw_di @ sk__6 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl17,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO892^15 : 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.PfPIMJ80pi true
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 04:44:02 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.20/0.67 % Total configuration time : 828
% 0.20/0.67 % Estimated wc time : 1656
% 0.20/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.76 % Solved by lams/40_c.s.sh.
% 0.20/0.76 % done 9 iterations in 0.011s
% 0.20/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.76 % SZS output start Refutation
% See solution above
% 0.20/0.76
% 0.20/0.76
% 0.20/0.76 % Terminating...
% 1.43/0.87 % Runner terminated.
% 1.43/0.88 % Zipperpin 1.5 exiting
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