%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET689+4 : 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.oxRHtJuZ7p true
% Computer : n003.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 04:52:41 PM UTC 2025
% Result : Theorem 1.29s 0.71s
% Output : Refutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 138 ( 16 ~; 14 |; 5 &; 98 @)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(sk__3_type,type,
sk__3: $i ).
thf(sk__5_type,type,
sk__5: $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(thI05,conjecture,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C )
& ( subset @ C @ A ) )
=> ( equal_set @ A @ C ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C )
& ( subset @ C @ A ) )
=> ( equal_set @ A @ C ) ),
inference('cnf.neg',[status(esa)],[thI05]) ).
thf(zip_derived_cl29,plain,
~ ( equal_set @ sk__3 @ sk__5 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl161,plain,
( ~ ( subset @ sk__3 @ sk__5 )
| ~ ( subset @ sk__5 @ sk__3 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
thf(zip_derived_cl30,plain,
subset @ sk__5 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl165,plain,
~ ( subset @ sk__3 @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl161,zip_derived_cl30]) ).
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(zip_derived_cl32,plain,
subset @ sk__3 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl164,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__3 )
| ( member @ X0 @ sk__4 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl0]) ).
thf(zip_derived_cl31,plain,
subset @ sk__4 @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl0_001,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl163,plain,
! [X0: $i] :
( ~ ( member @ X0 @ sk__4 )
| ( member @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( member @ ( sk_ @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(zip_derived_cl168,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__4 )
| ( subset @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl163,zip_derived_cl1]) ).
thf(zip_derived_cl198,plain,
! [X0: $i] :
( ~ ( member @ ( sk_ @ sk__5 @ X0 ) @ sk__3 )
| ( subset @ X0 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl164,zip_derived_cl168]) ).
thf(zip_derived_cl211,plain,
( ( subset @ sk__3 @ sk__5 )
| ( subset @ sk__3 @ sk__5 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl198]) ).
thf(zip_derived_cl213,plain,
subset @ sk__3 @ sk__5,
inference(simplify,[status(thm)],[zip_derived_cl211]) ).
thf(zip_derived_cl215,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl165,zip_derived_cl213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SET689+4 : TPTP v9.2.0. Released v2.2.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oxRHtJuZ7p true
% 0.10/0.31 % Computer : n003.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 13:11:38 EDT 2025
% 0.16/0.31 % CPUTime :
% 0.16/0.31 % Running portfolio for 300 s
% 0.16/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.31 % Number of cores: 8
% 0.16/0.32 % Python version: Python 3.6.8
% 0.16/0.32 % Running in FO mode
% 0.53/0.57 % Total configuration time : 435
% 0.53/0.57 % Estimated wc time : 1092
% 0.53/0.57 % Estimated cpu time (7 cpus) : 156.0
% 1.02/0.65 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.02/0.65 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.02/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.02/0.66 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.02/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.02/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.02/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.29/0.71 % Solved by fo/fo6_bce.sh.
% 1.29/0.71 % BCE start: 33
% 1.29/0.71 % BCE eliminated: 0
% 1.29/0.71 % PE start: 33
% 1.29/0.71 logic: eq
% 1.29/0.71 % PE eliminated: 3
% 1.29/0.71 % done 42 iterations in 0.034s
% 1.29/0.71 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.71 % SZS output start Refutation
% See solution above
% 1.29/0.71
% 1.29/0.71
% 1.29/0.71 % Terminating...
% 1.45/0.78 % Runner terminated.
% 1.45/0.80 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------