%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET764+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rSLP1Yo2pD true
% Computer : n028.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 04:52:48 PM UTC 2025
% Result : Theorem 0.47s 0.77s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 120 ( 12 ~; 6 |; 2 &; 94 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 0 ^; 31 !; 1 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__40_type,type,
sk__40: $i ).
thf(maps_type,type,
maps: $i > $i > $i > $o ).
thf(inverse_image2_type,type,
inverse_image2: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__26_type,type,
sk__26: $i > $i > $i > $i ).
thf(apply_type,type,
apply: $i > $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(equal_set,axiom,
! [A: $i,B: $i] :
( ( equal_set @ A @ B )
<=> ( ( subset @ A @ B )
& ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i] :
( ( equal_set @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[equal_set]) ).
thf(thIIa14,conjecture,
! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
=> ( equal_set @ ( inverse_image2 @ F @ empty_set ) @ empty_set ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [F: $i,A: $i,B: $i] :
( ( maps @ F @ A @ B )
=> ( equal_set @ ( inverse_image2 @ F @ empty_set ) @ empty_set ) ),
inference('cnf.neg',[status(esa)],[thIIa14]) ).
thf(zip_derived_cl136,plain,
~ ( equal_set @ ( inverse_image2 @ sk__40 @ empty_set ) @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl909,plain,
( ~ ( subset @ ( inverse_image2 @ sk__40 @ empty_set ) @ empty_set )
| ~ ( subset @ empty_set @ ( inverse_image2 @ sk__40 @ empty_set ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl136]) ).
thf(subset,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [X: $i] :
( ( member @ X @ A )
=> ( member @ X @ B ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(empty_set,axiom,
! [X: $i] :
~ ( member @ X @ empty_set ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl1532,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl1549,plain,
~ ( subset @ ( inverse_image2 @ sk__40 @ empty_set ) @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl909,zip_derived_cl1532]) ).
thf(inverse_image2,axiom,
! [F: $i,B: $i,X: $i] :
( ( member @ X @ ( inverse_image2 @ F @ B ) )
<=> ? [Y: $i] :
( ( apply @ F @ X @ Y )
& ( member @ Y @ B ) ) ) ).
thf(zip_derived_cl99,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ ( sk__26 @ X0 @ X1 @ X2 ) @ X1 )
| ~ ( member @ X0 @ ( inverse_image2 @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[inverse_image2]) ).
thf(zip_derived_cl14_001,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl1764,plain,
! [X0: $i,X1: $i] :
~ ( member @ X1 @ ( inverse_image2 @ X0 @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl99,zip_derived_cl14]) ).
thf(zip_derived_cl2_002,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl1797,plain,
! [X0: $i,X1: $i] : ( subset @ ( inverse_image2 @ X0 @ empty_set ) @ X1 ),
inference('sup+',[status(thm)],[zip_derived_cl1764,zip_derived_cl2]) ).
thf(zip_derived_cl1817,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl1549,zip_derived_cl1797]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET764+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.00/0.08 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rSLP1Yo2pD true
% 0.06/0.27 % Computer : n028.cluster.edu
% 0.06/0.27 % Model : x86_64 x86_64
% 0.06/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.27 % Memory : 8042.1875MB
% 0.06/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.27 % CPULimit : 300
% 0.06/0.27 % WCLimit : 300
% 0.06/0.27 % DateTime : Wed Oct 1 13:22:53 EDT 2025
% 0.06/0.27 % CPUTime :
% 0.06/0.27 % Running portfolio for 300 s
% 0.06/0.27 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.27 % Number of cores: 8
% 0.06/0.27 % Python version: Python 3.6.8
% 0.06/0.27 % Running in FO mode
% 0.45/0.57 % Total configuration time : 435
% 0.45/0.57 % Estimated wc time : 1092
% 0.45/0.57 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.61 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.62 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.45/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.47/0.77 % Solved by fo/fo3_bce.sh.
% 0.47/0.77 % BCE start: 137
% 0.47/0.77 % BCE eliminated: 0
% 0.47/0.77 % PE start: 137
% 0.47/0.77 logic: eq
% 0.47/0.77 % PE eliminated: -13
% 0.47/0.77 % done 83 iterations in 0.135s
% 0.47/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.47/0.77 % SZS output start Refutation
% See solution above
% 0.47/0.77
% 0.47/0.77
% 0.47/0.77 % Terminating...
% 0.50/0.87 % Runner terminated.
% 0.50/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------