%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET008+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xUd5GZO3b1 true
% Computer : n020.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 Oct 2 04:51:04 PM UTC 2025
% Result : Theorem 0.95s 0.69s
% Output : Refutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 57 ( 15 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 208 ( 17 ~; 16 |; 2 &; 168 @)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 62 ( 0 ^; 62 !; 0 ?; 62 :)
% Comments :
%------------------------------------------------------------------------------
thf(intersection_type,type,
intersection: $i > $i > $i ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(prove_intersection_difference_empty_set,conjecture,
! [B: $i,C: $i] :
( ( intersection @ ( difference @ B @ C ) @ C )
= empty_set ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( intersection @ ( difference @ B @ C ) @ C )
= empty_set ),
inference('cnf.neg',[status(esa)],[prove_intersection_difference_empty_set]) ).
thf(zip_derived_cl21,plain,
( ( intersection @ ( difference @ sk__3 @ sk__4 ) @ sk__4 )
!= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(commutativity_of_intersection,axiom,
! [B: $i,C: $i] :
( ( intersection @ B @ C )
= ( intersection @ C @ B ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl25,plain,
( ( intersection @ sk__4 @ ( difference @ sk__3 @ sk__4 ) )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl10]) ).
thf(empty_defn,axiom,
! [B: $i] :
( ( empty @ B )
<=> ! [C: $i] :
~ ( member @ C @ B ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl10_001,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
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_cl27,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ ( intersection @ X1 @ X0 ) )
| ( member @ X2 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl0]) ).
thf(zip_derived_cl29,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__1 @ ( intersection @ X1 @ X0 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl27]) ).
thf(zip_derived_cl16_002,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( member @ ( sk__1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl0_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( intersection @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[intersection_defn]) ).
thf(zip_derived_cl26,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X1 @ X0 ) )
| ( member @ ( sk__1 @ ( intersection @ X1 @ X0 ) ) @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl0]) ).
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_cl41,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( empty @ ( intersection @ ( difference @ X1 @ X0 ) @ X2 ) )
| ~ ( member @ ( sk__1 @ ( intersection @ ( difference @ X1 @ X0 ) @ X2 ) ) @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl4]) ).
thf(zip_derived_cl123,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ ( difference @ X1 @ X0 ) @ X0 ) )
| ( empty @ ( intersection @ ( difference @ X1 @ X0 ) @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl41]) ).
thf(zip_derived_cl10_004,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl10_005,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X1 @ X0 )
= ( intersection @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_of_intersection]) ).
thf(zip_derived_cl126,plain,
! [X0: $i,X1: $i] :
( ( empty @ ( intersection @ X0 @ ( difference @ X1 @ X0 ) ) )
| ( empty @ ( intersection @ X0 @ ( difference @ X1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl123,zip_derived_cl10,zip_derived_cl10]) ).
thf(zip_derived_cl127,plain,
! [X0: $i,X1: $i] : ( empty @ ( intersection @ X0 @ ( difference @ X1 @ X0 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl126]) ).
thf(equal_member_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ! [D: $i] :
( ( member @ D @ B )
<=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X0 )
| ( member @ ( sk__2 @ X0 @ X1 ) @ X1 ) ),
inference(cnf,[status(esa)],[equal_member_defn]) ).
thf(empty_set_defn,axiom,
! [B: $i] :
~ ( member @ B @ empty_set ) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set_defn]) ).
thf(zip_derived_cl78,plain,
! [X0: $i] :
( ( member @ ( sk__2 @ empty_set @ X0 ) @ X0 )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl6]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[empty_defn]) ).
thf(zip_derived_cl96,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl15]) ).
thf(zip_derived_cl169,plain,
! [X0: $i,X1: $i] :
( ( intersection @ X0 @ ( difference @ X1 @ X0 ) )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl127,zip_derived_cl96]) ).
thf(zip_derived_cl172,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl169]) ).
thf(zip_derived_cl173,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET008+3 : TPTP v9.2.0. Released v2.2.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.xUd5GZO3b1 true
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 12:58:53 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.31 % Number of cores: 8
% 0.15/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.52/0.57 % Total configuration time : 435
% 0.52/0.57 % Estimated wc time : 1092
% 0.52/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.95/0.65 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.95/0.69 % Solved by fo/fo5.sh.
% 0.95/0.69 % done 63 iterations in 0.027s
% 0.95/0.69 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.95/0.69 % SZS output start Refutation
% See solution above
% 0.95/0.70
% 0.95/0.70
% 0.95/0.70 % Terminating...
% 1.27/0.77 % Runner terminated.
% 1.27/0.78 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------