TSTP Solution File: SYO888^10 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO888^10 : 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.NEVRPJyTOe true
% Computer : n018.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 05:53:07 EDT 2023
% Result : Theorem 1.39s 0.81s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 27
% Syntax : Number of formulae : 47 ( 25 unt; 14 typ; 0 def)
% Number of atoms : 104 ( 15 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 218 ( 16 ~; 11 |; 5 &; 157 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 53 ( 53 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 62 ( 36 ^; 26 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(g_type,type,
g: $i > mworld > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(f_type,type,
f: $i > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(sk__6_type,type,
sk__6: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(h_type,type,
h: $i > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
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(mbox_def,axiom,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ) ).
thf('2',plain,
( mbox
= ( ^ [Phi: mworld > $o,W: mworld] :
! [V: mworld] :
( ( mrel @ W @ V )
=> ( Phi @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).
thf('3',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('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(mand_def,axiom,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ) ).
thf('6',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('7',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('8',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('9',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(con,conjecture,
( mlocal
@ ( mimplies
@ ( mand
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( f @ X ) @ ( mbox @ ( g @ X ) ) ) )
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( g @ X ) @ ( mbox @ ( h @ X ) ) ) ) )
@ ( mforall_di
@ ^ [X: $i] : ( mimplies @ ( f @ X ) @ ( mbox @ ( h @ X ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
( ( ! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ( ( f @ X4 @ mactual )
=> ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ( g @ X4 @ X6 ) ) ) )
& ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ( ( g @ X8 @ mactual )
=> ! [X10: mworld] :
( ( mrel @ mactual @ X10 )
=> ( h @ X8 @ X10 ) ) ) ) )
=> ! [X12: $i] :
( ( eiw_di @ X12 @ mactual )
=> ( ( f @ X12 @ mactual )
=> ! [X14: mworld] :
( ( mrel @ mactual @ X14 )
=> ( h @ X12 @ X14 ) ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ( ! [X4: $i] :
( ( eiw_di @ X4 @ mactual )
=> ( ( f @ X4 @ mactual )
=> ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ( g @ X4 @ X6 ) ) ) )
& ! [X8: $i] :
( ( eiw_di @ X8 @ mactual )
=> ( ( g @ X8 @ mactual )
=> ! [X10: mworld] :
( ( mrel @ mactual @ X10 )
=> ( h @ X8 @ X10 ) ) ) ) )
=> ! [X12: $i] :
( ( eiw_di @ X12 @ mactual )
=> ( ( f @ X12 @ mactual )
=> ! [X14: mworld] :
( ( mrel @ mactual @ X14 )
=> ( h @ X12 @ X14 ) ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
f @ sk__5 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: mworld] :
( ~ ( f @ X0 @ mactual )
| ~ ( mrel @ mactual @ X1 )
| ( g @ X0 @ X1 )
| ~ ( eiw_di @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl24,plain,
! [X0: mworld] :
( ~ ( eiw_di @ sk__5 @ mactual )
| ( g @ sk__5 @ X0 )
| ~ ( mrel @ mactual @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl3]) ).
thf(zip_derived_cl8,plain,
eiw_di @ sk__5 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl27,plain,
! [X0: mworld] :
( ( g @ sk__5 @ X0 )
| ~ ( mrel @ mactual @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl24,zip_derived_cl8]) ).
thf(zip_derived_cl4,plain,
! [X2: $i,X3: mworld] :
( ~ ( g @ X2 @ mactual )
| ~ ( mrel @ mactual @ X3 )
| ( h @ X2 @ X3 )
| ~ ( eiw_di @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
~ ( h @ sk__5 @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl31,plain,
( ~ ( eiw_di @ sk__5 @ mactual )
| ~ ( mrel @ mactual @ sk__6 )
| ~ ( g @ sk__5 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
thf(zip_derived_cl8_001,plain,
eiw_di @ sk__5 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl6,plain,
mrel @ mactual @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl44,plain,
~ ( g @ sk__5 @ mactual ),
inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl8,zip_derived_cl6]) ).
thf(zip_derived_cl55,plain,
~ ( mrel @ mactual @ mactual ),
inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl44]) ).
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_cl59,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYO888^10 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NEVRPJyTOe true
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 06:20:30 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.39/0.81 % Solved by lams/40_c_ic.sh.
% 1.39/0.81 % done 19 iterations in 0.017s
% 1.39/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.39/0.81 % SZS output start Refutation
% See solution above
% 1.39/0.81
% 1.39/0.81
% 1.39/0.82 % Terminating...
% 1.39/0.88 % Runner terminated.
% 1.39/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------