%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU307+2 : 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.lMOEZcB5eH true
% Computer : n009.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 04:54:11 PM UTC 2025
% Result : Theorem 7.02s 2.03s
% Output : Refutation 7.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 64 ( 20 equ; 0 cnn)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 215 ( 22 ~; 15 |; 2 &; 162 @)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(sk__148_type,type,
sk__148: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__149_type,type,
sk__149: $i ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(subset_intersection2_type,type,
subset_intersection2: $i > $i > $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(t15_pre_topc,conjecture,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_intersection2 @ ( the_carrier @ A ) @ B @ ( cast_as_carrier_subset @ A ) )
= B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_intersection2 @ ( the_carrier @ A ) @ B @ ( cast_as_carrier_subset @ A ) )
= B ) ) ),
inference('cnf.neg',[status(esa)],[t15_pre_topc]) ).
thf(zip_derived_cl528,plain,
element @ sk__149 @ ( powerset @ ( the_carrier @ sk__148 ) ),
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_cl56,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ X1 )
| ( in @ X0 @ X1 )
| ( empty @ X1 ) ),
inference(cnf,[status(esa)],[d2_subset_1]) ).
thf(zip_derived_cl4528,plain,
( ( empty @ ( powerset @ ( the_carrier @ sk__148 ) ) )
| ( in @ sk__149 @ ( powerset @ ( the_carrier @ sk__148 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl528,zip_derived_cl56]) ).
thf(fc1_subset_1,axiom,
! [A: $i] :
~ ( empty @ ( powerset @ A ) ) ).
thf(zip_derived_cl111,plain,
! [X0: $i] :
~ ( empty @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[fc1_subset_1]) ).
thf(zip_derived_cl4531,plain,
in @ sk__149 @ ( powerset @ ( the_carrier @ sk__148 ) ),
inference(demod,[status(thm)],[zip_derived_cl4528,zip_derived_cl111]) ).
thf(d1_zfmisc_1,axiom,
! [A: $i,B: $i] :
( ( B
= ( powerset @ A ) )
<=> ! [C: $i] :
( ( in @ C @ B )
<=> ( subset @ C @ A ) ) ) ).
thf(zip_derived_cl48,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_cl4544,plain,
! [X0: $i] :
( ( ( powerset @ ( the_carrier @ sk__148 ) )
!= ( powerset @ X0 ) )
| ( subset @ sk__149 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4531,zip_derived_cl48]) ).
thf(t28_xboole_1,axiom,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ( ( set_intersection2 @ A @ B )
= A ) ) ).
thf(zip_derived_cl479,plain,
! [X0: $i,X1: $i] :
( ( ( set_intersection2 @ X0 @ X1 )
= X0 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t28_xboole_1]) ).
thf(zip_derived_cl4746,plain,
! [X0: $i] :
( ( ( powerset @ ( the_carrier @ sk__148 ) )
!= ( powerset @ X0 ) )
| ( ( set_intersection2 @ sk__149 @ X0 )
= sk__149 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4544,zip_derived_cl479]) ).
thf(redefinition_k5_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ A ) )
& ( element @ C @ ( powerset @ A ) ) )
=> ( ( subset_intersection2 @ A @ B @ C )
= ( set_intersection2 @ B @ C ) ) ) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( ( subset_intersection2 @ X1 @ X0 @ X2 )
= ( set_intersection2 @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k5_subset_1]) ).
thf(zip_derived_cl527,plain,
( ( subset_intersection2 @ ( the_carrier @ sk__148 ) @ sk__149 @ ( cast_as_carrier_subset @ sk__148 ) )
!= sk__149 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl526,plain,
one_sorted_str @ sk__148,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d3_pre_topc,axiom,
! [A: $i] :
( ( one_sorted_str @ A )
=> ( ( cast_as_carrier_subset @ A )
= ( the_carrier @ A ) ) ) ).
thf(zip_derived_cl67,plain,
! [X0: $i] :
( ( ( cast_as_carrier_subset @ X0 )
= ( the_carrier @ X0 ) )
| ~ ( one_sorted_str @ X0 ) ),
inference(cnf,[status(esa)],[d3_pre_topc]) ).
thf(zip_derived_cl3114,plain,
( ( cast_as_carrier_subset @ sk__148 )
= ( the_carrier @ sk__148 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl526,zip_derived_cl67]) ).
thf(zip_derived_cl3683,plain,
( ( subset_intersection2 @ ( the_carrier @ sk__148 ) @ sk__149 @ ( the_carrier @ sk__148 ) )
!= sk__149 ),
inference(demod,[status(thm)],[zip_derived_cl527,zip_derived_cl3114]) ).
thf(zip_derived_cl6318,plain,
( ( ( set_intersection2 @ sk__149 @ ( the_carrier @ sk__148 ) )
!= sk__149 )
| ~ ( element @ ( the_carrier @ sk__148 ) @ ( powerset @ ( the_carrier @ sk__148 ) ) )
| ~ ( element @ sk__149 @ ( powerset @ ( the_carrier @ sk__148 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl206,zip_derived_cl3683]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl497,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl207,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl4331,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl497,zip_derived_cl207]) ).
thf(zip_derived_cl528_001,plain,
element @ sk__149 @ ( powerset @ ( the_carrier @ sk__148 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6324,plain,
( ( set_intersection2 @ sk__149 @ ( the_carrier @ sk__148 ) )
!= sk__149 ),
inference(demod,[status(thm)],[zip_derived_cl6318,zip_derived_cl4331,zip_derived_cl528]) ).
thf(zip_derived_cl6325,plain,
( ( sk__149 != sk__149 )
| ( ( powerset @ ( the_carrier @ sk__148 ) )
!= ( powerset @ ( the_carrier @ sk__148 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl4746,zip_derived_cl6324]) ).
thf(zip_derived_cl6327,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl6325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEU307+2 : TPTP v9.2.0. Released v3.3.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lMOEZcB5eH true
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Wed Oct 1 16:01:23 EDT 2025
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.58/0.71 % Total configuration time : 435
% 0.58/0.71 % Estimated wc time : 1092
% 0.58/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.82 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.83 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 7.02/2.03 % Solved by fo/fo3_bce.sh.
% 7.02/2.03 % BCE start: 529
% 7.02/2.03 % BCE eliminated: 6
% 7.02/2.03 % PE start: 523
% 7.02/2.03 logic: eq
% 7.02/2.03 % PE eliminated: -84
% 7.02/2.03 % done 766 iterations in 1.187s
% 7.02/2.03 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.02/2.03 % SZS output start Refutation
% See solution above
% 7.02/2.03
% 7.02/2.03
% 7.02/2.03 % Terminating...
% 7.28/2.23 % Runner terminated.
% 7.28/2.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------