TSTP Solution File: SET924^1 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET924^1 : 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.MMQNwQhwiu true
% Computer : n029.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 16:16:50 EDT 2023
% Result : Theorem 0.21s 0.79s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 39 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 78 ( 15 equ; 6 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 210 ( 18 ~; 0 |; 0 &; 174 @)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 11 usr; 6 con; 0-3 aty)
% ( 6 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 48 ( 34 ^; 14 !; 0 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(in_type,type,
in: $i > $i > mworld > $o ).
thf('#sk4_type',type,
'#sk4': $i ).
thf(mactual_type,type,
mactual: mworld ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf('#sk3_type',type,
'#sk3': $i ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(qmltpeq_type,type,
qmltpeq: $i > $i > mworld > $o ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
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(mequiv_def,axiom,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf('2',plain,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).
thf('3',plain,
( mequiv
= ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
( ( V_1 @ V_3 )
<=> ( V_2 @ V_3 ) ) ) ),
define([status(thm)]) ).
thf(mnot_def,axiom,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ) ).
thf('4',plain,
( mnot
= ( ^ [A: mworld > $o,W: mworld] :
~ ( A @ W ) ) ),
inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).
thf('5',plain,
( mnot
= ( ^ [V_1: mworld > $o,V_2: mworld] :
~ ( V_1 @ V_2 ) ) ),
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(t67_zfmisc_1,conjecture,
( mlocal
@ ( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( mequiv @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ ( singleton @ A ) ) @ ( mnot @ ( in @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ mactual )
<=> ~ ( in @ X4 @ X6 @ mactual ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ mactual )
<=> ~ ( in @ X4 @ X6 @ mactual ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
~ ( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ ( singleton @ Y0 ) @ mactual )
<=> ( (~) @ ( in @ Y0 @ Y1 @ mactual ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl34,plain,
~ ( !!
@ ^ [Y0: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk3' ) @ Y0 ) @ ( singleton @ '#sk3' ) @ mactual )
<=> ( (~) @ ( in @ '#sk3' @ Y0 @ mactual ) ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl35,plain,
~ ( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk3' ) @ '#sk4' ) @ ( singleton @ '#sk3' ) @ mactual )
<=> ( (~) @ ( in @ '#sk3' @ '#sk4' @ mactual ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).
thf(zip_derived_cl36,plain,
( ( qmltpeq @ ( set_difference @ ( singleton @ '#sk3' ) @ '#sk4' ) @ ( singleton @ '#sk3' ) @ mactual )
= ( in @ '#sk3' @ '#sk4' @ mactual ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).
thf(l34_zfmisc_1,axiom,
( mlocal
@ ( mforall_di
@ ^ [A: $i] :
( mforall_di
@ ^ [B: $i] : ( mequiv @ ( qmltpeq @ ( set_difference @ ( singleton @ A ) @ B ) @ ( singleton @ A ) ) @ ( mnot @ ( in @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X4 ) @ X6 ) @ ( singleton @ X4 ) @ mactual )
<=> ~ ( in @ X4 @ X6 @ mactual ) ) ).
thf(zip_derived_cl13,plain,
( !!
@ ^ [Y0: $i] :
( !!
@ ^ [Y1: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ ( singleton @ Y0 ) @ mactual )
<=> ( (~) @ ( in @ Y0 @ Y1 @ mactual ) ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl51,plain,
! [X2: $i] :
( !!
@ ^ [Y0: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X2 ) @ Y0 ) @ ( singleton @ X2 ) @ mactual )
<=> ( (~) @ ( in @ X2 @ Y0 @ mactual ) ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl52,plain,
! [X2: $i,X4: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X2 ) @ X4 ) @ ( singleton @ X2 ) @ mactual )
<=> ( (~) @ ( in @ X2 @ X4 @ mactual ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl53,plain,
! [X2: $i,X4: $i] :
( ( qmltpeq @ ( set_difference @ ( singleton @ X2 ) @ X4 ) @ ( singleton @ X2 ) @ mactual )
!= ( in @ X2 @ X4 @ mactual ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl52]) ).
thf(zip_derived_cl54,plain,
( ( in @ '#sk3' @ '#sk4' @ mactual )
!= ( in @ '#sk3' @ '#sk4' @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl53]) ).
thf(zip_derived_cl59,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET924^1 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MMQNwQhwiu true
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 12:24:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.66 % Total configuration time : 828
% 0.21/0.66 % Estimated wc time : 1656
% 0.21/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79 % Solved by lams/35_full_unif4.sh.
% 0.21/0.79 % done 8 iterations in 0.025s
% 0.21/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79 % SZS output start Refutation
% See solution above
% 0.21/0.79
% 0.21/0.79
% 0.21/0.79 % Terminating...
% 0.21/0.85 % Runner terminated.
% 0.21/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------