TSTP Solution File: LCL949^4 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL949^4 : 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.BYlkvA2TCa true
% Computer : n019.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 09:02:47 EDT 2023
% Result : Theorem 25.82s 4.06s
% Output : Refutation 26.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 27
% Syntax : Number of formulae : 38 ( 17 unt; 10 typ; 0 def)
% Number of atoms : 136 ( 15 equ; 0 cnn)
% Maximal formula atoms : 28 ( 4 avg)
% Number of connectives : 281 ( 2 ~; 0 |; 9 &; 211 @)
% ( 0 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 51 ( 51 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 3 con; 0-3 aty)
% ( 19 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 84 ( 56 ^; 28 !; 0 ?; 84 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(subclass_type,type,
subclass: $i > $i > mworld > $o ).
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(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mforall_di_def,axiom,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( A @ X @ W ) ) ) ).
thf('0',plain,
( mforall_di
= ( ^ [A: $i > mworld > $o,W: mworld] :
! [X: $i] : ( 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] : ( 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(mlocal_def,axiom,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
thf('4',plain,
( mlocal
= ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).
thf('5',plain,
( mlocal
= ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
define([status(thm)]) ).
thf(reflexivity,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ).
thf(zf_stmt_0,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( qmltpeq @ X6 @ X6 @ X8 ) ) ) ).
thf(zip_derived_cl2,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( qmltpeq @ Y1 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(mrel_reflexive,axiom,
! [W: mworld] : ( mrel @ W @ W ) ).
thf(zip_derived_cl0,plain,
( !!
@ ^ [Y0: mworld] : ( mrel @ Y0 @ Y0 ) ),
inference(cnf,[status(esa)],[mrel_reflexive]) ).
thf(reflexivity_of_subclass,conjecture,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] : ( mbox @ ( subclass @ X @ X ) ) ) ) ) ).
thf(zf_stmt_1,conjecture,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( subclass @ X6 @ X6 @ X8 ) ) ) ).
thf(zf_stmt_2,negated_conjecture,
~ ! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ( subclass @ X6 @ X6 @ X8 ) ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl85,plain,
~ ( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( subclass @ Y1 @ Y1 @ Y2 ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
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(extensionality,axiom,
( mlocal
@ ( mbox
@ ( mforall_di
@ ^ [X: $i] :
( mbox
@ ( mforall_di
@ ^ [Y: $i] : ( mand @ ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) ) ) @ ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( subclass @ X @ Y ) ) @ ( mbox @ ( subclass @ Y @ X ) ) ) @ ( mbox @ ( qmltpeq @ X @ Y ) ) ) ) ) ) ) ) ) ) ).
thf(zf_stmt_3,axiom,
! [X4: mworld] :
( ( mrel @ mactual @ X4 )
=> ! [X6: $i,X8: mworld] :
( ( mrel @ X4 @ X8 )
=> ! [X10: $i] :
( ! [X20: mworld] :
( ( mrel @ X8 @ X20 )
=> ( ( ! [X24: mworld] :
( ( mrel @ X20 @ X24 )
=> ( subclass @ X10 @ X6 @ X24 ) )
& ! [X22: mworld] :
( ( mrel @ X20 @ X22 )
=> ( subclass @ X6 @ X10 @ X22 ) ) )
=> ! [X26: mworld] :
( ( mrel @ X20 @ X26 )
=> ( qmltpeq @ X6 @ X10 @ X26 ) ) ) )
& ! [X12: mworld] :
( ( mrel @ X8 @ X12 )
=> ( ! [X14: mworld] :
( ( mrel @ X12 @ X14 )
=> ( qmltpeq @ X6 @ X10 @ X14 ) )
=> ( ! [X18: mworld] :
( ( mrel @ X12 @ X18 )
=> ( subclass @ X10 @ X6 @ X18 ) )
& ! [X16: mworld] :
( ( mrel @ X12 @ X16 )
=> ( subclass @ X6 @ X10 @ X16 ) ) ) ) ) ) ) ) ).
thf(zip_derived_cl46,plain,
( !!
@ ^ [Y0: mworld] :
( ( mrel @ mactual @ Y0 )
=> ( !!
@ ^ [Y1: $i] :
( !!
@ ^ [Y2: mworld] :
( ( mrel @ Y0 @ Y2 )
=> ( !!
@ ^ [Y3: $i] :
( ( !!
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) )
=> ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) ) ) ) )
& ( !!
@ ^ [Y4: mworld] :
( ( mrel @ Y2 @ Y4 )
=> ( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( qmltpeq @ Y1 @ Y3 @ Y5 ) ) )
=> ( ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y3 @ Y1 @ Y5 ) ) )
& ( !!
@ ^ [Y5: mworld] :
( ( mrel @ Y4 @ Y5 )
=> ( subclass @ Y1 @ Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_3]) ).
thf(zip_derived_cl2081,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2,zip_derived_cl0,zip_derived_cl85,zip_derived_cl46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL949^4 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.BYlkvA2TCa true
% 0.16/0.34 % Computer : n019.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Fri Aug 25 06:12:58 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.79 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.80 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.68/0.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 4.86/1.39 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 25.82/3.97 % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 25.82/4.06 % Solved by lams/15_e_short1.sh.
% 25.82/4.06 % done 328 iterations in 3.220s
% 25.82/4.06 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 25.82/4.06 % SZS output start Refutation
% See solution above
% 26.42/4.06
% 26.42/4.06
% 26.42/4.06 % Terminating...
% 26.94/4.18 % Runner terminated.
% 26.94/4.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------