TSTP Solution File: SET629+3 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uaO7wT27lb true
% Computer : n008.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 16:15:10 EDT 2023
% Result : Theorem 0.88s 0.79s
% Output : Refutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 32 ( 10 unt; 8 typ; 0 def)
% Number of atoms : 41 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 178 ( 17 ~; 9 |; 3 &; 144 @)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 49 !; 1 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
thf(intersect_type,type,
intersect: $i > $i > $o ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(intersect_defn,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
<=> ? [D: $i] :
( ( member @ D @ C )
& ( member @ D @ B ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk_ @ X0 @ X1 ) @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
thf(difference_defn,axiom,
! [B: $i,C: $i,D: $i] :
( ( member @ D @ ( difference @ B @ C ) )
<=> ( ( member @ D @ B )
& ~ ( member @ D @ C ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( difference @ X1 @ X0 ) @ X2 )
| ~ ( member @ ( sk_ @ X2 @ ( difference @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl4]) ).
thf(zip_derived_cl6,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_cl113,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ X2 @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk_ @ ( intersection @ X1 @ X0 ) @ X2 ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl0]) ).
thf(zip_derived_cl356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( intersect @ ( difference @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) )
| ~ ( intersect @ ( difference @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl126,zip_derived_cl113]) ).
thf(zip_derived_cl359,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( intersect @ ( difference @ X1 @ X0 ) @ ( intersection @ X0 @ X2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl356]) ).
thf(zip_derived_cl378,plain,
! [X0: $i,X1: $i,X2: $i] :
~ ( intersect @ ( difference @ X2 @ X0 ) @ ( intersection @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl359]) ).
thf(disjoint_defn,axiom,
! [B: $i,C: $i] :
( ( disjoint @ B @ C )
<=> ~ ( intersect @ B @ C ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( intersect @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
thf(prove_intersection_and_difference_disjoint,conjecture,
! [B: $i,C: $i] : ( disjoint @ ( intersection @ B @ C ) @ ( difference @ B @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] : ( disjoint @ ( intersection @ B @ C ) @ ( difference @ B @ C ) ),
inference('cnf.neg',[status(esa)],[prove_intersection_and_difference_disjoint]) ).
thf(zip_derived_cl17,plain,
~ ( disjoint @ ( intersection @ sk__2 @ sk__3 ) @ ( difference @ sk__2 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl92,plain,
intersect @ ( intersection @ sk__2 @ sk__3 ) @ ( difference @ sk__2 @ sk__3 ),
inference('dp-resolution',[status(thm)],[zip_derived_cl10,zip_derived_cl17]) ).
thf(symmetry_of_intersect,axiom,
! [B: $i,C: $i] :
( ( intersect @ B @ C )
=> ( intersect @ C @ B ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ( intersect @ X0 @ X1 )
| ~ ( intersect @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[symmetry_of_intersect]) ).
thf(zip_derived_cl96,plain,
intersect @ ( difference @ sk__2 @ sk__3 ) @ ( intersection @ sk__2 @ sk__3 ),
inference('sup-',[status(thm)],[zip_derived_cl92,zip_derived_cl12]) ).
thf(zip_derived_cl380,plain,
$false,
inference('sup+',[status(thm)],[zip_derived_cl378,zip_derived_cl96]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uaO7wT27lb true
% 0.14/0.34 % Computer : n008.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 11:48:47 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running portfolio for 300 s
% 0.14/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.62 % Total configuration time : 435
% 0.21/0.62 % Estimated wc time : 1092
% 0.21/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.88/0.79 % Solved by fo/fo3_bce.sh.
% 0.88/0.79 % BCE start: 18
% 0.88/0.79 % BCE eliminated: 0
% 0.88/0.79 % PE start: 18
% 0.88/0.79 logic: eq
% 0.88/0.79 % PE eliminated: 2
% 0.88/0.79 % done 92 iterations in 0.052s
% 0.88/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.88/0.79 % SZS output start Refutation
% See solution above
% 0.88/0.79
% 0.88/0.79
% 0.88/0.79 % Terminating...
% 0.88/0.84 % Runner terminated.
% 1.61/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------