%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU309+1 : 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.5krHaYVhRv true
% Computer : n022.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 04:54:12 PM UTC 2025
% Result : Theorem 0.44s 1.13s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 52 ( 26 unt; 0 typ; 0 def)
% Number of atoms : 96 ( 35 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 460 ( 41 ~; 30 |; 3 &; 375 @)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(cast_as_carrier_subset_type,type,
cast_as_carrier_subset: $i > $i ).
thf(subset_intersection2_type,type,
subset_intersection2: $i > $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(set_intersection2_type,type,
set_intersection2: $i > $i > $i ).
thf(subset_difference_type,type,
subset_difference: $i > $i > $i > $i ).
thf(set_difference_type,type,
set_difference: $i > $i > $i ).
thf(one_sorted_str_type,type,
one_sorted_str: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(the_carrier_type,type,
the_carrier: $i > $i ).
thf(sk__6_type,type,
sk__6: $i ).
thf(t22_pre_topc,conjecture,
! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) )
= B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( one_sorted_str @ A )
=> ! [B: $i] :
( ( element @ B @ ( powerset @ ( the_carrier @ A ) ) )
=> ( ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ ( subset_difference @ ( the_carrier @ A ) @ ( cast_as_carrier_subset @ A ) @ B ) )
= B ) ) ),
inference('cnf.neg',[status(esa)],[t22_pre_topc]) ).
thf(zip_derived_cl124,plain,
one_sorted_str @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t15_pre_topc,axiom,
! [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(zip_derived_cl122,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( the_carrier @ X1 ) ) )
| ( ( subset_intersection2 @ ( the_carrier @ X1 ) @ X0 @ ( cast_as_carrier_subset @ X1 ) )
= X0 )
| ~ ( one_sorted_str @ X1 ) ),
inference(cnf,[status(esa)],[t15_pre_topc]) ).
thf(zip_derived_cl587,plain,
! [X0: $i] :
( ( ( subset_intersection2 @ ( the_carrier @ sk__5 ) @ X0 @ ( cast_as_carrier_subset @ sk__5 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( the_carrier @ sk__5 ) ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl122]) ).
thf(zip_derived_cl124_001,plain,
one_sorted_str @ sk__5,
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_cl42,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_cl585,plain,
( ( cast_as_carrier_subset @ sk__5 )
= ( the_carrier @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl42]) ).
thf(zip_derived_cl585_002,plain,
( ( cast_as_carrier_subset @ sk__5 )
= ( the_carrier @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl42]) ).
thf(zip_derived_cl1491,plain,
! [X0: $i] :
( ( ( subset_intersection2 @ ( cast_as_carrier_subset @ sk__5 ) @ X0 @ ( cast_as_carrier_subset @ sk__5 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl585,zip_derived_cl585]) ).
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_cl119,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_cl1495,plain,
! [X0: $i] :
( ( X0
= ( set_intersection2 @ X0 @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ ( cast_as_carrier_subset @ sk__5 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl1491,zip_derived_cl119]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl121,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl131,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl580,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl1502,plain,
! [X0: $i] :
( ( X0
= ( set_intersection2 @ X0 @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1495,zip_derived_cl580]) ).
thf(zip_derived_cl1503,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ( X0
= ( set_intersection2 @ X0 @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl1502]) ).
thf(dt_k6_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ A ) )
& ( element @ C @ ( powerset @ A ) ) )
=> ( element @ ( subset_difference @ A @ B @ C ) @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( element @ ( subset_difference @ X1 @ X0 @ X2 ) @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k6_subset_1]) ).
thf(redefinition_k6_subset_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( element @ B @ ( powerset @ A ) )
& ( element @ C @ ( powerset @ A ) ) )
=> ( ( subset_difference @ A @ B @ C )
= ( set_difference @ B @ C ) ) ) ).
thf(zip_derived_cl120,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( ( subset_difference @ X1 @ X0 @ X2 )
= ( set_difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_subset_1]) ).
thf(zip_derived_cl120_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ X1 ) )
| ( ( subset_difference @ X1 @ X0 @ X2 )
= ( set_difference @ X0 @ X2 ) ) ),
inference(cnf,[status(esa)],[redefinition_k6_subset_1]) ).
thf(zip_derived_cl125,plain,
( ( subset_difference @ ( the_carrier @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ ( subset_difference @ ( the_carrier @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) )
!= sk__6 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl585_004,plain,
( ( cast_as_carrier_subset @ sk__5 )
= ( the_carrier @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl42]) ).
thf(zip_derived_cl585_005,plain,
( ( cast_as_carrier_subset @ sk__5 )
= ( the_carrier @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl42]) ).
thf(zip_derived_cl1419,plain,
( ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) )
!= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl125,zip_derived_cl585,zip_derived_cl585]) ).
thf(zip_derived_cl1441,plain,
( ( ( set_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) )
!= sk__6 )
| ~ ( element @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ ( cast_as_carrier_subset @ sk__5 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1419]) ).
thf(zip_derived_cl580_006,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl1444,plain,
( ( ( set_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) )
!= sk__6 )
| ~ ( element @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1441,zip_derived_cl580]) ).
thf(zip_derived_cl1752,plain,
( ( ( set_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( set_difference @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) )
!= sk__6 )
| ~ ( element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ ( cast_as_carrier_subset @ sk__5 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl120,zip_derived_cl1444]) ).
thf(t48_xboole_1,axiom,
! [A: $i,B: $i] :
( ( set_difference @ A @ ( set_difference @ A @ B ) )
= ( set_intersection2 @ A @ B ) ) ).
thf(zip_derived_cl132,plain,
! [X0: $i,X1: $i] :
( ( set_difference @ X0 @ ( set_difference @ X0 @ X1 ) )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t48_xboole_1]) ).
thf(commutativity_k3_xboole_0,axiom,
! [A: $i,B: $i] :
( ( set_intersection2 @ A @ B )
= ( set_intersection2 @ B @ A ) ) ).
thf(zip_derived_cl40,plain,
! [X0: $i,X1: $i] :
( ( set_intersection2 @ X1 @ X0 )
= ( set_intersection2 @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[commutativity_k3_xboole_0]) ).
thf(zip_derived_cl126,plain,
element @ sk__6 @ ( powerset @ ( the_carrier @ sk__5 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl585_007,plain,
( ( cast_as_carrier_subset @ sk__5 )
= ( the_carrier @ sk__5 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl124,zip_derived_cl42]) ).
thf(zip_derived_cl711,plain,
element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl585]) ).
thf(zip_derived_cl580_008,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl1753,plain,
( ( ( set_intersection2 @ sk__6 @ ( cast_as_carrier_subset @ sk__5 ) )
!= sk__6 )
| ~ ( element @ ( subset_difference @ ( cast_as_carrier_subset @ sk__5 ) @ ( cast_as_carrier_subset @ sk__5 ) @ sk__6 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl1752,zip_derived_cl132,zip_derived_cl40,zip_derived_cl711,zip_derived_cl580]) ).
thf(zip_derived_cl1761,plain,
( ~ ( element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ~ ( element @ ( cast_as_carrier_subset @ sk__5 ) @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) )
| ( ( set_intersection2 @ sk__6 @ ( cast_as_carrier_subset @ sk__5 ) )
!= sk__6 ) ),
inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl1753]) ).
thf(zip_derived_cl711_009,plain,
element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl585]) ).
thf(zip_derived_cl580_010,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl121,zip_derived_cl131]) ).
thf(zip_derived_cl1763,plain,
( ( set_intersection2 @ sk__6 @ ( cast_as_carrier_subset @ sk__5 ) )
!= sk__6 ),
inference(demod,[status(thm)],[zip_derived_cl1761,zip_derived_cl711,zip_derived_cl580]) ).
thf(zip_derived_cl1766,plain,
( ( sk__6 != sk__6 )
| ~ ( element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1503,zip_derived_cl1763]) ).
thf(zip_derived_cl711_011,plain,
element @ sk__6 @ ( powerset @ ( cast_as_carrier_subset @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl126,zip_derived_cl585]) ).
thf(zip_derived_cl1767,plain,
sk__6 != sk__6,
inference(demod,[status(thm)],[zip_derived_cl1766,zip_derived_cl711]) ).
thf(zip_derived_cl1768,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1767]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU309+1 : TPTP v9.2.0. Released v3.3.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.5krHaYVhRv true
% 0.09/0.31 % Computer : n022.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Wed Oct 1 16:05:23 EDT 2025
% 0.09/0.32 % CPUTime :
% 0.09/0.32 % Running portfolio for 300 s
% 0.09/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33 % Number of cores: 8
% 0.09/0.34 % Python version: Python 3.6.8
% 0.09/0.35 % Running in FO mode
% 0.43/0.66 % Total configuration time : 435
% 0.43/0.66 % Estimated wc time : 1092
% 0.43/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.43/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.43/0.84 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.43/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.43/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.43/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.87 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.44/0.88 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.44/1.13 % Solved by fo/fo3_bce.sh.
% 0.44/1.13 % BCE start: 139
% 0.44/1.13 % BCE eliminated: 15
% 0.44/1.13 % PE start: 124
% 0.44/1.13 logic: eq
% 0.44/1.13 % PE eliminated: 1
% 0.44/1.13 % done 450 iterations in 0.231s
% 0.44/1.13 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.44/1.13 % SZS output start Refutation
% See solution above
% 0.44/1.13
% 0.44/1.13
% 0.44/1.13 % Terminating...
% 2.29/1.28 % Runner terminated.
% 2.29/1.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------