TSTP Solution File: SYO897^6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO897^6 : 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.Pmb3jaHd82 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 : Fri Sep 1 05:53:12 EDT 2023
% Result : Theorem 0.12s 0.63s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 20
% Syntax : Number of formulae : 31 ( 17 unt; 9 typ; 0 def)
% Number of atoms : 60 ( 12 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 91 ( 4 ~; 2 |; 7 &; 66 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 45 ( 24 ^; 14 !; 7 ?; 45 :)
% 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(mactual_type,type,
mactual: 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(p_type,type,
p: mworld > $o ).
thf(q_type,type,
q: mworld > $o ).
thf(mdia_def,axiom,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ) ).
thf('0',plain,
( mdia
= ( ^ [Phi: mworld > $o,W: mworld] :
? [V: mworld] :
( ( Phi @ V )
& ( mrel @ W @ V ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).
thf('1',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('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(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 @ p ) @ ( mimplies @ ( mbox @ q ) @ ( mdia @ q ) ) ) ).
thf(zf_stmt_0,conjecture,
( ? [X4: mworld] :
( ( p @ X4 )
& ( mrel @ mactual @ X4 ) )
=> ( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ( q @ X6 ) )
=> ? [X8: mworld] :
( ( q @ X8 )
& ( mrel @ mactual @ X8 ) ) ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ( ? [X4: mworld] :
( ( p @ X4 )
& ( mrel @ mactual @ X4 ) )
=> ( ! [X6: mworld] :
( ( mrel @ mactual @ X6 )
=> ( q @ X6 ) )
=> ? [X8: mworld] :
( ( q @ X8 )
& ( mrel @ mactual @ X8 ) ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: mworld] :
( ~ ( q @ X0 )
| ~ ( mrel @ mactual @ X0 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl4,plain,
! [X1: mworld] :
( ( q @ X1 )
| ~ ( mrel @ mactual @ X1 ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
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_cl5,plain,
! [X1: mworld] : ( q @ X1 ),
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: mworld,X1: mworld] : ( mrel @ X0 @ X1 ),
inference(cnf,[status(esa)],[mrel_universal]) ).
thf(zip_derived_cl6,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl5,zip_derived_cl0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09 % Problem : SYO897^6 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.09 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Pmb3jaHd82 true
% 0.08/0.28 % Computer : n031.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Sat Aug 26 07:32:22 EDT 2023
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % Running portfolio for 300 s
% 0.08/0.29 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.29 % Number of cores: 8
% 0.08/0.29 % Python version: Python 3.6.8
% 0.08/0.29 % Running in HO mode
% 0.12/0.49 % Total configuration time : 828
% 0.12/0.49 % Estimated wc time : 1656
% 0.12/0.49 % Estimated cpu time (8 cpus) : 207.0
% 0.12/0.58 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.12/0.58 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.12/0.60 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.12/0.60 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.12/0.60 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.12/0.63 % Solved by lams/40_c.s.sh.
% 0.12/0.63 % done 4 iterations in 0.010s
% 0.12/0.63 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.12/0.63 % SZS output start Refutation
% See solution above
% 0.12/0.63
% 0.12/0.63
% 0.12/0.63 % Terminating...
% 1.08/0.70 % Runner terminated.
% 1.08/0.71 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------