%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET616+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bagnHeG4xt true
% Computer : n023.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 04:52:26 PM UTC 2025
% Result : Theorem 0.49s 0.73s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 32 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 62 ( 10 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 199 ( 21 ~; 22 |; 2 &; 148 @)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 ^; 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(difference_type,type,
difference: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i > $i > $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_defn,axiom,
! [B: $i,C: $i] :
( ( subset @ B @ C )
<=> ! [D: $i] :
( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_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 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(prove_th90,conjecture,
! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= ( difference @ C @ B ) )
=> ( B = C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i,C: $i] :
( ( ( difference @ B @ C )
= ( difference @ C @ B ) )
=> ( B = C ) ),
inference('cnf.neg',[status(esa)],[prove_th90]) ).
thf(zip_derived_cl16,plain,
( ( difference @ sk__3 @ sk__4 )
= ( difference @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl100,plain,
! [X0: $i] :
( ~ ( member @ X0 @ ( difference @ sk__3 @ sk__4 ) )
| ( member @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl2]) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ~ ( member @ X0 @ ( difference @ X2 @ X1 ) ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] :
~ ( member @ X0 @ ( difference @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl3]) ).
thf(zip_derived_cl154,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl101]) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ~ ( member @ ( sk__2 @ sk__4 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl154,zip_derived_cl13]) ).
thf(zip_derived_cl172,plain,
( ( subset @ sk__3 @ sk__4 )
| ( subset @ sk__3 @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl168]) ).
thf(zip_derived_cl173,plain,
subset @ sk__3 @ sk__4,
inference(simplify,[status(thm)],[zip_derived_cl172]) ).
thf(equal_defn,axiom,
! [B: $i,C: $i] :
( ( B = C )
<=> ( ( subset @ B @ C )
& ( subset @ C @ B ) ) ) ).
thf(zip_derived_cl7,plain,
! [X0: $i,X1: $i] :
( ( X1 = X0 )
| ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[equal_defn]) ).
thf(zip_derived_cl175,plain,
( ~ ( subset @ sk__4 @ sk__3 )
| ( sk__4 = sk__3 ) ),
inference('sup-',[status(thm)],[zip_derived_cl173,zip_derived_cl7]) ).
thf(zip_derived_cl17,plain,
sk__3 != sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl177,plain,
~ ( subset @ sk__4 @ sk__3 ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl175,zip_derived_cl17]) ).
thf(zip_derived_cl13_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk__2 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl16_002,plain,
( ( difference @ sk__3 @ sk__4 )
= ( difference @ sk__4 @ sk__3 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( member @ X0 @ ( difference @ X1 @ X2 ) )
| ( member @ X0 @ X2 )
| ~ ( member @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[difference_defn]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ( member @ X0 @ ( difference @ sk__3 @ sk__4 ) )
| ~ ( member @ X0 @ sk__4 )
| ( member @ X0 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl16,zip_derived_cl4]) ).
thf(zip_derived_cl101_004,plain,
! [X0: $i] :
~ ( member @ X0 @ ( difference @ sk__3 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl100,zip_derived_cl3]) ).
thf(zip_derived_cl245,plain,
! [X0: $i] :
( ( member @ X0 @ sk__3 )
| ~ ( member @ X0 @ sk__4 ) ),
inference(clc,[status(thm)],[zip_derived_cl164,zip_derived_cl101]) ).
thf(zip_derived_cl14_005,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk__2 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset_defn]) ).
thf(zip_derived_cl255,plain,
! [X0: $i] :
( ( member @ ( sk__2 @ X0 @ sk__4 ) @ sk__3 )
| ( subset @ sk__4 @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl245,zip_derived_cl14]) ).
thf(zip_derived_cl268,plain,
( ( subset @ sk__4 @ sk__3 )
| ( subset @ sk__4 @ sk__3 ) ),
inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl255]) ).
thf(zip_derived_cl270,plain,
subset @ sk__4 @ sk__3,
inference(simplify,[status(thm)],[zip_derived_cl268]) ).
thf(zip_derived_cl274,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl177,zip_derived_cl270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SET616+3 : TPTP v9.2.0. Released v2.2.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bagnHeG4xt true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:23:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.49/0.58 % Total configuration time : 435
% 0.49/0.58 % Estimated wc time : 1092
% 0.49/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.73 % Solved by fo/fo3_bce.sh.
% 0.49/0.73 % BCE start: 18
% 0.49/0.73 % BCE eliminated: 0
% 0.49/0.73 % PE start: 18
% 0.49/0.73 logic: eq
% 0.49/0.73 % PE eliminated: 0
% 0.49/0.73 % done 53 iterations in 0.032s
% 0.49/0.73 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.73 % SZS output start Refutation
% See solution above
% 0.49/0.73
% 0.49/0.73
% 0.49/0.73 % Terminating...
% 1.50/0.81 % Runner terminated.
% 1.50/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------