%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET347+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.0kICwNhonl true
% Computer : n002.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 04:52:00 PM UTC 2025
% Result : Theorem 0.54s 0.75s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 100 ( 12 ~; 6 |; 2 &; 76 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 21 !; 1 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(member_type,type,
member: $i > $i > $o ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(sum_type,type,
sum: $i > $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(equal_set_type,type,
equal_set: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
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(thI38,conjecture,
equal_set @ ( sum @ empty_set ) @ empty_set ).
thf(zf_stmt_0,negated_conjecture,
~ ( equal_set @ ( sum @ empty_set ) @ empty_set ),
inference('cnf.neg',[status(esa)],[thI38]) ).
thf(zip_derived_cl29,plain,
~ ( equal_set @ ( sum @ empty_set ) @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl153,plain,
( ~ ( subset @ ( sum @ empty_set ) @ empty_set )
| ~ ( subset @ empty_set @ ( sum @ empty_set ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl5,zip_derived_cl29]) ).
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_cl159,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl14]) ).
thf(zip_derived_cl164,plain,
~ ( subset @ ( sum @ empty_set ) @ empty_set ),
inference(demod,[status(thm)],[zip_derived_cl153,zip_derived_cl159]) ).
thf(zip_derived_cl2_001,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ( member @ ( sk_ @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[subset]) ).
thf(sum,axiom,
! [X: $i,A: $i] :
( ( member @ X @ ( sum @ A ) )
<=> ? [Y: $i] :
( ( member @ X @ Y )
& ( member @ Y @ A ) ) ) ).
thf(zip_derived_cl24,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__1 @ X0 @ X1 ) @ X0 )
| ~ ( member @ X1 @ ( sum @ X0 ) ) ),
inference(cnf,[status(esa)],[sum]) ).
thf(zip_derived_cl14_002,plain,
! [X0: $i] :
~ ( member @ X0 @ empty_set ),
inference(cnf,[status(esa)],[empty_set]) ).
thf(zip_derived_cl251,plain,
! [X0: $i] :
~ ( member @ X0 @ ( sum @ empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl14]) ).
thf(zip_derived_cl258,plain,
! [X0: $i] : ( subset @ ( sum @ empty_set ) @ X0 ),
inference('s_sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl251]) ).
thf(zip_derived_cl275,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl164,zip_derived_cl258]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET347+4 : TPTP v9.2.0. Released v2.2.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.0kICwNhonl true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:21:23 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.54/0.63 % Total configuration time : 435
% 0.54/0.63 % Estimated wc time : 1092
% 0.54/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.75 % Solved by fo/fo6_bce.sh.
% 0.54/0.75 % BCE start: 30
% 0.54/0.75 % BCE eliminated: 0
% 0.54/0.75 % PE start: 30
% 0.54/0.75 logic: eq
% 0.54/0.75 % PE eliminated: 3
% 0.54/0.75 % done 45 iterations in 0.035s
% 0.54/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.75 % SZS output start Refutation
% See solution above
% 0.54/0.75
% 0.54/0.75
% 0.54/0.75 % Terminating...
% 0.58/0.84 % Runner terminated.
% 0.58/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------