%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU171+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7OqwAH6HdU true
% Computer : n006.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 04:53:42 PM UTC 2025
% Result : Theorem 0.50s 0.78s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 55 ( 10 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 162 ( 20 ~; 13 |; 2 &; 111 @)
% ( 4 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(sk__8_type,type,
sk__8: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(t50_subset_1,conjecture,
! [A: $i] :
( ( A != empty_set )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( subset_complement @ A @ B ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( A != empty_set )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( element @ C @ A )
=> ( ~ ( in @ C @ B )
=> ( in @ C @ ( subset_complement @ A @ B ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t50_subset_1]) ).
thf(zip_derived_cl32,plain,
~ ( in @ sk__8 @ sk__7 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d4_xboole_0,axiom,
! [A: $i,B: $i,C: $i] :
( ( C
= ( set_difference @ A @ B ) )
<=> ! [D: $i] :
( ( in @ D @ C )
<=> ( ( in @ D @ A )
& ~ ( in @ D @ B ) ) ) ) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( in @ X0 @ X3 )
| ( X3
!= ( set_difference @ X1 @ X2 ) ) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
thf(zip_derived_cl159,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ ( set_difference @ X1 @ X0 ) )
| ( in @ X2 @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl5]) ).
thf(d5_subset_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ( ( subset_complement @ A @ B )
= ( set_difference @ A @ B ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( ( subset_complement @ X0 @ X1 )
= ( set_difference @ X0 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ X0 ) ) ),
inference(cnf,[status(esa)],[d5_subset_1]) ).
thf(zip_derived_cl31,plain,
~ ( in @ sk__8 @ ( subset_complement @ sk__6 @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl214,plain,
( ~ ( element @ sk__7 @ ( powerset @ sk__6 ) )
| ~ ( in @ sk__8 @ ( set_difference @ sk__6 @ sk__7 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl31]) ).
thf(zip_derived_cl33,plain,
element @ sk__7 @ ( powerset @ sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl215,plain,
~ ( in @ sk__8 @ ( set_difference @ sk__6 @ sk__7 ) ),
inference(demod,[status(thm)],[zip_derived_cl214,zip_derived_cl33]) ).
thf(zip_derived_cl386,plain,
( ~ ( in @ sk__8 @ sk__6 )
| ( in @ sk__8 @ sk__7 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl159,zip_derived_cl215]) ).
thf(zip_derived_cl30,plain,
element @ sk__8 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_subset_1,axiom,
! [A: $i,B: $i] :
( ( ( empty @ A )
=> ( ( element @ B @ A )
<=> ( empty @ B ) ) )
& ( ~ ( empty @ A )
=> ( ( element @ B @ A )
<=> ( in @ B @ A ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl150,plain,
( ( in @ sk__8 @ sk__6 )
| ( empty @ sk__6 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl2]) ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl177,plain,
( ( in @ sk__8 @ sk__6 )
| ( sk__6 = empty_set ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl150,zip_derived_cl34]) ).
thf(zip_derived_cl29,plain,
sk__6 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl179,plain,
in @ sk__8 @ sk__6,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl177,zip_derived_cl29]) ).
thf(zip_derived_cl391,plain,
in @ sk__8 @ sk__7,
inference(demod,[status(thm)],[zip_derived_cl386,zip_derived_cl179]) ).
thf(zip_derived_cl392,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU171+1 : TPTP v9.2.0. Released v3.3.0.
% 0.02/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7OqwAH6HdU true
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 16:12:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.47/0.58 % Total configuration time : 435
% 0.47/0.58 % Estimated wc time : 1092
% 0.47/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.48/0.69 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.48/0.70 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.50/0.78 % Solved by fo/fo6_bce.sh.
% 0.50/0.78 % BCE start: 37
% 0.50/0.78 % BCE eliminated: 0
% 0.50/0.78 % PE start: 37
% 0.50/0.78 logic: eq
% 0.50/0.78 % PE eliminated: 0
% 0.50/0.78 % done 94 iterations in 0.076s
% 0.50/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.78 % SZS output start Refutation
% See solution above
% 0.50/0.78
% 0.50/0.78
% 0.50/0.78 % Terminating...
% 1.47/0.95 % Runner terminated.
% 1.50/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------