TSTP Solution File: SET626+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET626+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6i9HYJyHqh true
% Computer : n027.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 16:15:08 EDT 2023
% Result : Theorem 0.69s 0.76s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 23 ( 4 unt; 7 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 122 ( 13 ~; 11 |; 2 &; 92 @)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 34 ( 0 ^; 33 !; 1 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(prove_th102,conjecture,
! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( intersection @ C @ D ) )
=> ( intersect @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i,D: $i] :
( ( intersect @ B @ ( intersection @ C @ D ) )
=> ( intersect @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_th102]) ).
thf(zip_derived_cl13,plain,
~ ( intersect @ sk__2 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
intersect @ sk__2 @ ( intersection @ sk__3 @ sk__4 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X0 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(intersection_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( intersection @ B @ C ) )
<=> ( ( member @ D @ B )
& ( member @ D @ C ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl76,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X2 @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( member @ X2 @ X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(zip_derived_cl91,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X0 @ X1 )
| ( intersect @ X0 @ X2 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).
thf(zip_derived_cl144,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) )
| ( intersect @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl76,zip_derived_cl91]) ).
thf(zip_derived_cl148,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( intersect @ X1 @ X0 )
| ~ ( intersect @ X1 @ ( intersection @ X0 @ X2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl144]) ).
thf(zip_derived_cl150,plain,
intersect @ sk__2 @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl148]) ).
thf(zip_derived_cl157,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl13,zip_derived_cl150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET626+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6i9HYJyHqh true
% 0.14/0.36 % Computer : n027.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 16:37:20 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
% 0.21/0.36 % Number of cores: 8
% 0.21/0.37 % Python version: Python 3.6.8
% 0.21/0.37 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.69/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.69/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.69/0.76 % Solved by fo/fo6_bce.sh.
% 0.69/0.76 % BCE start: 14
% 0.69/0.76 % BCE eliminated: 0
% 0.69/0.76 % PE start: 14
% 0.69/0.76 logic: eq
% 0.69/0.76 % PE eliminated: 0
% 0.69/0.76 % done 38 iterations in 0.022s
% 0.69/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.69/0.76 % SZS output start Refutation
% See solution above
% 0.69/0.76
% 0.69/0.76
% 0.69/0.76 % Terminating...
% 1.38/0.86 % Runner terminated.
% 1.38/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------