%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU321+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JnNqJZIIPs true
% Computer : n007.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 04:54:14 PM UTC 2025
% Result : Theorem 99.27s 23.83s
% Output : Refutation 99.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 97 ( 11 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 322 ( 41 ~; 27 |; 10 &; 225 @)
% ( 5 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 39 !; 1 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__116_type,type,
sk__116: $i ).
thf(disjoint_type,type,
disjoint: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__115_type,type,
sk__115: $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(empty_carrier_type,type,
empty_carrier: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(sk__114_type,type,
sk__114: $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(t50_subset_1,axiom,
! [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(zip_derived_cl1467,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ( in @ X2 @ X0 )
| ( in @ X2 @ ( subset_complement @ X1 @ X0 ) )
| ~ ( element @ X2 @ X1 )
| ( X1 = empty_set ) ),
inference(cnf,[status(esa)],[t50_subset_1]) ).
thf(l40_tops_1,conjecture,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( in @ C @ ( subset_complement @ ( the_carrier @ A ) @ B ) )
<=> ~ ( in @ C @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( the_carrier @ A ) )
=> ( ( in @ C @ ( subset_complement @ ( the_carrier @ A ) @ B ) )
<=> ~ ( in @ C @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[l40_tops_1]) ).
thf(zip_derived_cl673,plain,
( ( in @ sk__116 @ sk__115 )
| ~ ( in @ sk__116 @ ( subset_complement @ ( the_carrier @ sk__114 ) @ sk__115 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34132,plain,
( ( ( the_carrier @ sk__114 )
= empty_set )
| ~ ( element @ sk__116 @ ( the_carrier @ sk__114 ) )
| ( in @ sk__116 @ sk__115 )
| ~ ( element @ sk__115 @ ( powerset @ ( the_carrier @ sk__114 ) ) )
| ( in @ sk__116 @ sk__115 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1467,zip_derived_cl673]) ).
thf(zip_derived_cl672,plain,
element @ sk__116 @ ( the_carrier @ sk__114 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl675,plain,
element @ sk__115 @ ( powerset @ ( the_carrier @ sk__114 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34164,plain,
( ( ( the_carrier @ sk__114 )
= empty_set )
| ( in @ sk__116 @ sk__115 )
| ( in @ sk__116 @ sk__115 ) ),
inference(demod,[status(thm)],[zip_derived_cl34132,zip_derived_cl672,zip_derived_cl675]) ).
thf(zip_derived_cl34165,plain,
( ( in @ sk__116 @ sk__115 )
| ( ( the_carrier @ sk__114 )
= empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl34164]) ).
thf(d7_xboole_0,axiom,
! [A: $i,B: $i] :
( ( disjoint @ A @ B )
<=> ( ( set_intersection2 @ A @ B )
= empty_set ) ) ).
thf(zip_derived_cl395,plain,
! [X0: $i,X1: $i] :
( ( disjoint @ X0 @ X1 )
| ( ( set_intersection2 @ X0 @ X1 )
!= empty_set ) ),
inference(cnf,[status(esa)],[d7_xboole_0]) ).
thf(zip_derived_cl672_001,plain,
element @ sk__116 @ ( the_carrier @ sk__114 ),
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_cl243,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl12288,plain,
( ( in @ sk__116 @ ( the_carrier @ sk__114 ) )
| ( empty @ ( the_carrier @ sk__114 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl672,zip_derived_cl243]) ).
thf(fc1_struct_0,axiom,
! [A: $i] :
( ( ~ ( empty_carrier @ A )
& ( one_sorted_str @ A ) )
=> ~ ( empty @ ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl537,plain,
! [X0: $i] :
( ~ ( empty @ ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 )
| ( empty_carrier @ X0 ) ),
inference(cnf,[status(esa)],[fc1_struct_0]) ).
thf(zip_derived_cl12428,plain,
( ( in @ sk__116 @ ( the_carrier @ sk__114 ) )
| ~ ( one_sorted_str @ sk__114 )
| ( empty_carrier @ sk__114 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12288,zip_derived_cl537]) ).
thf(zip_derived_cl671,plain,
one_sorted_str @ sk__114,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl670,plain,
~ ( empty_carrier @ sk__114 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12437,plain,
in @ sk__116 @ ( the_carrier @ sk__114 ),
inference(demod,[status(thm)],[zip_derived_cl12428,zip_derived_cl671,zip_derived_cl670]) ).
thf(zip_derived_cl12437_002,plain,
in @ sk__116 @ ( the_carrier @ sk__114 ),
inference(demod,[status(thm)],[zip_derived_cl12428,zip_derived_cl671,zip_derived_cl670]) ).
thf(t3_xboole_0,axiom,
! [A: $i,B: $i] :
( ~ ( ? [C: $i] :
( ( in @ C @ B )
& ( in @ C @ A ) )
& ( disjoint @ A @ B ) )
& ~ ( ~ ( disjoint @ A @ B )
& ! [C: $i] :
~ ( ( in @ C @ A )
& ( in @ C @ B ) ) ) ) ).
thf(zip_derived_cl1422,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ X2 )
| ~ ( disjoint @ X1 @ X2 ) ),
inference(cnf,[status(esa)],[t3_xboole_0]) ).
thf(zip_derived_cl12498,plain,
! [X0: $i] :
( ~ ( in @ sk__116 @ X0 )
| ~ ( disjoint @ ( the_carrier @ sk__114 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12437,zip_derived_cl1422]) ).
thf(zip_derived_cl12577,plain,
~ ( disjoint @ ( the_carrier @ sk__114 ) @ ( the_carrier @ sk__114 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12437,zip_derived_cl12498]) ).
thf(zip_derived_cl13723,plain,
( ( set_intersection2 @ ( the_carrier @ sk__114 ) @ ( the_carrier @ sk__114 ) )
!= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl395,zip_derived_cl12577]) ).
thf(idempotence_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ A )
= A ) ).
thf(zip_derived_cl640,plain,
! [X0: $i] :
( ( set_intersection2 @ X0 @ X0 )
= X0 ),
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
thf(zip_derived_cl13736,plain,
( ( the_carrier @ sk__114 )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl13723,zip_derived_cl640]) ).
thf(zip_derived_cl34166,plain,
in @ sk__116 @ sk__115,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34165,zip_derived_cl13736]) ).
thf(zip_derived_cl675_003,plain,
element @ sk__115 @ ( powerset @ ( the_carrier @ sk__114 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t54_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( element @ C @ ( powerset @ A ) )
=> ~ ( ( in @ B @ ( subset_complement @ A @ C ) )
& ( in @ B @ C ) ) ) ).
thf(zip_derived_cl1493,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( in @ X0 @ ( subset_complement @ X2 @ X1 ) )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t54_subset_1]) ).
thf(zip_derived_cl18729,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__115 )
| ~ ( in @ X0 @ ( subset_complement @ ( the_carrier @ sk__114 ) @ sk__115 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl675,zip_derived_cl1493]) ).
thf(zip_derived_cl34187,plain,
~ ( in @ sk__116 @ ( subset_complement @ ( the_carrier @ sk__114 ) @ sk__115 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34166,zip_derived_cl18729]) ).
thf(zip_derived_cl674,plain,
( ~ ( in @ sk__116 @ sk__115 )
| ( in @ sk__116 @ ( subset_complement @ ( the_carrier @ sk__114 ) @ sk__115 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl34166_004,plain,
in @ sk__116 @ sk__115,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl34165,zip_derived_cl13736]) ).
thf(zip_derived_cl34167,plain,
in @ sk__116 @ ( subset_complement @ ( the_carrier @ sk__114 ) @ sk__115 ),
inference(demod,[status(thm)],[zip_derived_cl674,zip_derived_cl34166]) ).
thf(zip_derived_cl34219,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl34187,zip_derived_cl34167]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.55 % Problem : SEU321+2 : TPTP v9.2.0. Released v3.3.0.
% 0.11/0.60 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.JnNqJZIIPs true
% 0.12/0.84 % Computer : n007.cluster.edu
% 0.12/0.84 % Model : x86_64 x86_64
% 0.12/0.84 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.84 % Memory : 8042.1875MB
% 0.12/0.84 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.84 % CPULimit : 300
% 0.12/0.84 % WCLimit : 300
% 0.12/0.84 % DateTime : Wed Oct 1 16:10:53 EDT 2025
% 0.12/0.86 % CPUTime :
% 0.12/0.86 % Running portfolio for 300 s
% 0.12/0.86 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.86 % Number of cores: 8
% 0.12/0.86 % Python version: Python 3.6.8
% 0.12/0.86 % Running in FO mode
% 0.53/1.22 % Total configuration time : 435
% 0.53/1.22 % Estimated wc time : 1092
% 0.53/1.22 % Estimated cpu time (7 cpus) : 156.0
% 0.54/1.47 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/1.48 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/1.48 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/1.49 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/1.51 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/1.53 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/1.54 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 99.27/23.83 % Solved by fo/fo6_bce.sh.
% 99.27/23.83 % BCE start: 1569
% 99.27/23.83 % BCE eliminated: 26
% 99.27/23.83 % PE start: 1543
% 99.27/23.83 logic: eq
% 99.27/23.83 % PE eliminated: 103
% 99.27/23.83 % done 2691 iterations in 22.248s
% 99.27/23.83 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 99.27/23.83 % SZS output start Refutation
% See solution above
% 99.27/23.83
% 99.27/23.83
% 99.27/23.83 % Terminating...
% 99.97/24.01 % Runner terminated.
% 100.02/24.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------