%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU169+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.dgs16UQTAB 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 04:53:42 PM UTC 2025
% Result : Theorem 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 2 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 116 ( 12 ~; 9 |; 1 &; 82 @)
% ( 5 <=>; 7 =>; 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 : 10 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__3_type,type,
sk__3: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(l3_subset_1,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ A ) )
=> ! [C: $i] :
( ( in @ C @ B )
=> ( in @ C @ A ) ) ),
inference('cnf.neg',[status(esa)],[l3_subset_1]) ).
thf(zip_derived_cl19,plain,
~ ( in @ sk__5 @ sk__3 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl20,plain,
in @ sk__5 @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
element @ sk__4 @ ( powerset @ sk__3 ),
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_cl6,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl129,plain,
( ( empty @ ( powerset @ sk__3 ) )
| ( in @ sk__4 @ ( powerset @ sk__3 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl6]) ).
thf(fc1_subset_1,axiom,
! [A: $i] :
~ ( empty @ ( powerset @ A ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i] :
~ ( empty @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[fc1_subset_1]) ).
thf(zip_derived_cl176,plain,
in @ sk__4 @ ( powerset @ sk__3 ),
inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl16]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X2 )
| ( X1
!= ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl157,plain,
! [X0: $i,X1: $i] :
( ( subset @ X1 @ X0 )
| ~ ( in @ X1 @ ( powerset @ X0 ) ) ),
inference(eq_res,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl273,plain,
subset @ sk__4 @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl176,zip_derived_cl157]) ).
thf(d3_tarski,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
<=> ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ~ ( subset @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
thf(zip_derived_cl278,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__4 )
| ( in @ X0 @ sk__3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl273,zip_derived_cl9]) ).
thf(zip_derived_cl281,plain,
in @ sk__5 @ sk__3,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl278]) ).
thf(zip_derived_cl283,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU169+1 : TPTP v9.2.0. Released v3.3.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dgs16UQTAB true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 16:01:53 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.53/0.64 % Total configuration time : 435
% 0.53/0.64 % Estimated wc time : 1092
% 0.53/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % Solved by fo/fo6_bce.sh.
% 0.57/0.76 % BCE start: 29
% 0.57/0.76 % BCE eliminated: 0
% 0.57/0.76 % PE start: 29
% 0.57/0.76 logic: eq
% 0.57/0.76 % PE eliminated: 1
% 0.57/0.76 % done 60 iterations in 0.029s
% 0.57/0.76 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.76 % SZS output start Refutation
% See solution above
% 0.57/0.76
% 0.57/0.76
% 0.57/0.76 % Terminating...
% 1.73/0.86 % Runner terminated.
% 1.76/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------