TSTP Solution File: SET027^3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET027^3 : 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.IFWoaiYoIC 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 : Thu Aug 31 16:11:56 EDT 2023
% Result : Theorem 1.36s 0.75s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 27
% Syntax : Number of formulae : 47 ( 20 unt; 13 typ; 0 def)
% Number of atoms : 84 ( 15 equ; 0 cnn)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 209 ( 9 ~; 13 |; 5 &; 172 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 56 ( 56 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 71 ( 42 ^; 29 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(sk__7_type,type,
sk__7: $i ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(subset_type,type,
subset: $i > $i > mworld > $o ).
thf(mforall_di_type,type,
mforall_di: ( $i > mworld > $o ) > mworld > $o ).
thf(member_type,type,
member: $i > $i > 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(mimplies_def,axiom,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ) ).
thf('2',plain,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).
thf('3',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('4',plain,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
& ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mand_def]) ).
thf('5',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('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(prove_transitivity_of_subset,conjecture,
( mlocal
@ ( mforall_di
@ ^ [B: $i] :
( mforall_di
@ ^ [C: $i] :
( mforall_di
@ ^ [D: $i] : ( mimplies @ ( mand @ ( subset @ B @ C ) @ ( subset @ C @ D ) ) @ ( subset @ B @ D ) ) ) ) ) ) ).
thf(zf_stmt_0,conjecture,
! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X4 @ X6 @ mactual )
& ( subset @ X6 @ X8 @ mactual ) )
=> ( subset @ X4 @ X8 @ mactual ) ) ).
thf(zf_stmt_1,negated_conjecture,
~ ! [X4: $i,X6: $i,X8: $i] :
( ( ( subset @ X4 @ X6 @ mactual )
& ( subset @ X6 @ X8 @ mactual ) )
=> ( subset @ X4 @ X8 @ mactual ) ),
inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
~ ( subset @ sk__6 @ sk__8 @ mactual ),
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(mequiv_def,axiom,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ) ).
thf('8',plain,
( mequiv
= ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
( ( A @ W )
<=> ( B @ W ) ) ) ),
inference(simplify_rw_rule,[status(thm)],[mequiv_def]) ).
thf('9',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(subset_defn,axiom,
( mlocal
@ ( mforall_di
@ ^ [B: $i] :
( mforall_di
@ ^ [C: $i] :
( mequiv @ ( subset @ B @ C )
@ ( mforall_di
@ ^ [D: $i] : ( mimplies @ ( member @ D @ B ) @ ( member @ D @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_2,axiom,
! [X4: $i,X6: $i] :
( ( subset @ X4 @ X6 @ mactual )
<=> ! [X8: $i] :
( ( member @ X8 @ X4 @ mactual )
=> ( member @ X8 @ X6 @ mactual ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ~ ( member @ ( sk__5 @ X1 @ X0 ) @ X1 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl6,plain,
subset @ sk__7 @ sk__8 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl7,plain,
subset @ sk__6 @ sk__7 @ mactual,
inference(cnf,[status(esa)],[zf_stmt_1]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ( member @ ( sk__5 @ X1 @ X0 ) @ X0 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 @ mactual )
| ( member @ X0 @ X2 @ mactual )
| ~ ( subset @ X1 @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ X0 @ X1 @ mactual )
| ~ ( subset @ X0 @ X2 @ mactual )
| ( member @ ( sk__5 @ X1 @ X0 ) @ X2 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl1]) ).
thf(zip_derived_cl22,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 @ sk__6 ) @ sk__7 @ mactual )
| ( subset @ sk__6 @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl16]) ).
thf(zip_derived_cl1_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 @ mactual )
| ( member @ X0 @ X2 @ mactual )
| ~ ( subset @ X1 @ X2 @ mactual ) ),
inference(cnf,[status(esa)],[zf_stmt_2]) ).
thf(zip_derived_cl38,plain,
! [X0: $i,X1: $i] :
( ( subset @ sk__6 @ X0 @ mactual )
| ~ ( subset @ sk__7 @ X1 @ mactual )
| ( member @ ( sk__5 @ X0 @ sk__6 ) @ X1 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl1]) ).
thf(zip_derived_cl49,plain,
! [X0: $i] :
( ( member @ ( sk__5 @ X0 @ sk__6 ) @ sk__8 @ mactual )
| ( subset @ sk__6 @ X0 @ mactual ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl38]) ).
thf(zip_derived_cl55,plain,
( ( subset @ sk__6 @ sk__8 @ mactual )
| ( subset @ sk__6 @ sk__8 @ mactual ) ),
inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl49]) ).
thf(zip_derived_cl59,plain,
subset @ sk__6 @ sk__8 @ mactual,
inference(simplify,[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl63,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET027^3 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IFWoaiYoIC true
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:21:23 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.64 % Total configuration time : 828
% 0.21/0.64 % Estimated wc time : 1656
% 0.21/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.36/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.36/0.75 % Solved by lams/40_c.s.sh.
% 1.36/0.75 % done 35 iterations in 0.036s
% 1.36/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.36/0.75 % SZS output start Refutation
% See solution above
% 1.36/0.75
% 1.36/0.75
% 1.36/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.36/0.76 % Terminating...
% 1.45/0.83 % Runner terminated.
% 1.45/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------