%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU174+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.QVNV9LIW3P true
% Computer : n002.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 04:53:43 PM UTC 2025
% Result : Theorem 0.63s 0.92s
% Output : Refutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 90 ( 21 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 291 ( 38 ~; 31 |; 5 &; 206 @)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 53 ( 0 ^; 51 !; 2 ?; 53 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__8_type,type,
sk__8: $i ).
thf(sk__2_type,type,
sk__2: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__5_type,type,
sk__5: $i > $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(sk__7_type,type,
sk__7: $i ).
thf(subset_complement_type,type,
subset_complement: $i > $i > $i ).
thf(empty_set_type,type,
empty_set: $i ).
thf(complements_of_subsets_type,type,
complements_of_subsets: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(t6_boole,axiom,
! [A: $i] :
( ( empty @ A )
=> ( A = empty_set ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(existence_m1_subset_1,axiom,
! [A: $i] :
? [B: $i] : ( element @ B @ A ) ).
thf(zip_derived_cl14,plain,
! [X0: $i] : ( element @ ( sk__2 @ X0 ) @ X0 ),
inference(cnf,[status(esa)],[existence_m1_subset_1]) ).
thf(zip_derived_cl221,plain,
! [X0: $i] :
( ( empty @ X0 )
| ( in @ ( sk__2 @ X0 ) @ X0 ) ),
inference('sup+',[status(thm)],[zip_derived_cl27,zip_derived_cl14]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl36,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(t46_setfam_1,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ),
inference('cnf.neg',[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl32,plain,
( ( complements_of_subsets @ sk__7 @ sk__8 )
= empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(involutiveness_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ( complements_of_subsets @ A @ ( complements_of_subsets @ A @ B ) )
= B ) ) ).
thf(zip_derived_cl18,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X1 @ ( complements_of_subsets @ X1 @ X0 ) )
= X0 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[involutiveness_k7_setfam_1]) ).
thf(zip_derived_cl345,plain,
( ( ( complements_of_subsets @ sk__7 @ empty_set )
= sk__8 )
| ~ ( element @ sk__8 @ ( powerset @ ( powerset @ sk__7 ) ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl32,zip_derived_cl18]) ).
thf(zip_derived_cl30,plain,
element @ sk__8 @ ( powerset @ ( powerset @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl346,plain,
( ( complements_of_subsets @ sk__7 @ empty_set )
= sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl345,zip_derived_cl30]) ).
thf(zip_derived_cl30_001,plain,
element @ sk__8 @ ( powerset @ ( powerset @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d8_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ! [C: $i] :
( ( element @ C @ ( powerset @ ( powerset @ A ) ) )
=> ( ( C
= ( complements_of_subsets @ A @ B ) )
<=> ! [D: $i] :
( ( element @ D @ ( powerset @ A ) )
=> ( ( in @ D @ C )
<=> ( in @ ( subset_complement @ A @ D ) @ B ) ) ) ) ) ) ).
thf(zip_derived_cl4,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ X1 ) ) )
| ( X0
!= ( complements_of_subsets @ X1 @ X2 ) )
| ( in @ ( subset_complement @ X1 @ X3 ) @ X2 )
| ~ ( in @ X3 @ X0 )
| ~ ( element @ X3 @ ( powerset @ X1 ) )
| ~ ( element @ X2 @ ( powerset @ ( powerset @ X1 ) ) ) ),
inference(cnf,[status(esa)],[d8_setfam_1]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__7 ) ) )
| ~ ( element @ X1 @ ( powerset @ sk__7 ) )
| ~ ( in @ X1 @ sk__8 )
| ( in @ ( subset_complement @ sk__7 @ X1 ) @ X0 )
| ( sk__8
!= ( complements_of_subsets @ sk__7 @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl4]) ).
thf(zip_derived_cl30_002,plain,
element @ sk__8 @ ( powerset @ ( powerset @ sk__7 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl238,plain,
! [X0: $i] :
( ( element @ X0 @ ( powerset @ sk__7 ) )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl33]) ).
thf(zip_derived_cl542,plain,
! [X0: $i,X1: $i] :
( ( sk__8
!= ( complements_of_subsets @ sk__7 @ X0 ) )
| ( in @ ( subset_complement @ sk__7 @ X1 ) @ X0 )
| ~ ( in @ X1 @ sk__8 )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__7 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl207,zip_derived_cl238]) ).
thf(zip_derived_cl544,plain,
! [X0: $i] :
( ( sk__8 != sk__8 )
| ~ ( element @ empty_set @ ( powerset @ ( powerset @ sk__7 ) ) )
| ~ ( in @ X0 @ sk__8 )
| ( in @ ( subset_complement @ sk__7 @ X0 ) @ empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl346,zip_derived_cl542]) ).
thf(rc2_subset_1,axiom,
! [A: $i] :
? [B: $i] :
( ( empty @ B )
& ( element @ B @ ( powerset @ A ) ) ) ).
thf(zip_derived_cl22,plain,
! [X0: $i] : ( element @ ( sk__5 @ X0 ) @ ( powerset @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl23,plain,
! [X0: $i] : ( empty @ ( sk__5 @ X0 ) ),
inference(cnf,[status(esa)],[rc2_subset_1]) ).
thf(zip_derived_cl35_003,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X0 ) ),
inference(cnf,[status(esa)],[t6_boole]) ).
thf(zip_derived_cl196,plain,
! [X0: $i] :
( ( sk__5 @ X0 )
= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl35]) ).
thf(zip_derived_cl214,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl22,zip_derived_cl196]) ).
thf(zip_derived_cl546,plain,
! [X0: $i] :
( ( sk__8 != sk__8 )
| ~ ( in @ X0 @ sk__8 )
| ( in @ ( subset_complement @ sk__7 @ X0 ) @ empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl544,zip_derived_cl214]) ).
thf(zip_derived_cl547,plain,
! [X0: $i] :
( ( in @ ( subset_complement @ sk__7 @ X0 ) @ empty_set )
| ~ ( in @ X0 @ sk__8 ) ),
inference(simplify,[status(thm)],[zip_derived_cl546]) ).
thf(zip_derived_cl568,plain,
! [X0: $i] :
( ~ ( empty @ empty_set )
| ~ ( in @ X0 @ sk__8 ) ),
inference('sup+',[status(thm)],[zip_derived_cl36,zip_derived_cl547]) ).
thf(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl16,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(zip_derived_cl573,plain,
! [X0: $i] :
~ ( in @ X0 @ sk__8 ),
inference(demod,[status(thm)],[zip_derived_cl568,zip_derived_cl16]) ).
thf(zip_derived_cl670,plain,
empty @ sk__8,
inference('sup-',[status(thm)],[zip_derived_cl221,zip_derived_cl573]) ).
thf(zip_derived_cl681,plain,
sk__8 = empty_set,
inference('sup+',[status(thm)],[zip_derived_cl35,zip_derived_cl670]) ).
thf(zip_derived_cl31,plain,
sk__8 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl682,plain,
$false,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl681,zip_derived_cl31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU174+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.QVNV9LIW3P true
% 0.15/0.35 % Computer : n002.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 16:03:23 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.59/0.67 % Total configuration time : 435
% 0.59/0.68 % Estimated wc time : 1092
% 0.59/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.62/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.63/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.63/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.63/0.92 % Solved by fo/fo3_bce.sh.
% 0.63/0.92 % BCE start: 38
% 0.63/0.92 % BCE eliminated: 0
% 0.63/0.92 % PE start: 38
% 0.63/0.92 logic: eq
% 0.63/0.92 % PE eliminated: 0
% 0.63/0.92 % done 172 iterations in 0.098s
% 0.63/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.63/0.92 % SZS output start Refutation
% See solution above
% 0.63/0.92
% 0.63/0.92
% 0.63/0.92 % Terminating...
% 0.65/1.01 % Runner terminated.
% 0.65/1.02 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------