TSTP Solution File: SEU326+2 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU326+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIo6Vd1tza 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 Aug 31 19:12:10 EDT 2023
% Result : Theorem 1.62s 0.98s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 75 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 130 ( 58 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 415 ( 69 ~; 45 |; 9 &; 280 @)
% ( 4 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 0 ^; 89 !; 0 ?; 89 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__9_type,type,
sk__9: $i ).
thf(sk__10_type,type,
sk__10: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__4_type,type,
sk__4: $i > $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(complements_of_subsets_type,type,
complements_of_subsets: $i > $i > $i ).
thf(sk__type,type,
sk_: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
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_cl17,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(t2_xboole_1,axiom,
! [A: $i] : ( subset @ empty_set @ A ) ).
thf(zip_derived_cl26,plain,
! [X0: $i] : ( subset @ empty_set @ X0 ),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
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] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl82,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( powerset @ X0 ) )
| ( in @ empty_set @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl2]) ).
thf(zip_derived_cl101,plain,
! [X0: $i] : ( in @ empty_set @ ( powerset @ X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl82]) ).
thf(t1_subset,axiom,
! [A: $i,B: $i] :
( ( in @ A @ B )
=> ( element @ A @ B ) ) ).
thf(zip_derived_cl25,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl104,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl25]) ).
thf(dt_k7_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( element @ ( complements_of_subsets @ A @ B ) @ ( powerset @ ( powerset @ A ) ) ) ) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i] :
( ( element @ ( complements_of_subsets @ X0 @ X1 ) @ ( powerset @ ( powerset @ X0 ) ) )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[dt_k7_setfam_1]) ).
thf(zip_derived_cl17_001,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_cl17_002,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(fc1_xboole_0,axiom,
empty @ empty_set ).
thf(zip_derived_cl14,plain,
empty @ empty_set,
inference(cnf,[status(esa)],[fc1_xboole_0]) ).
thf(d1_xboole_0,axiom,
! [A: $i] :
( ( A = empty_set )
<=> ! [B: $i] :
~ ( in @ B @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ( X0 = empty_set )
| ( in @ ( sk_ @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(l71_subset_1,axiom,
! [A: $i,B: $i] :
( ! [C: $i] :
( ( in @ C @ A )
=> ( in @ C @ B ) )
=> ( element @ A @ ( powerset @ B ) ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( in @ ( sk__4 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
thf(zip_derived_cl20,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
thf(zip_derived_cl336,plain,
! [X0: $i] :
( ( element @ X0 @ ( powerset @ X0 ) )
| ( element @ X0 @ ( powerset @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl19,zip_derived_cl20]) ).
thf(zip_derived_cl337,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl336]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl27,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl453,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference('sup-',[status(thm)],[zip_derived_cl337,zip_derived_cl27]) ).
thf(zip_derived_cl2_003,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ( in @ X0 @ X2 )
| ( X2
!= ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[d1_zfmisc_1]) ).
thf(zip_derived_cl559,plain,
! [X0: $i,X1: $i] :
( ( X1
!= ( powerset @ X0 ) )
| ( in @ X0 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl453,zip_derived_cl2]) ).
thf(zip_derived_cl25_004,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ X1 )
| ~ ( in @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t1_subset]) ).
thf(zip_derived_cl789,plain,
! [X0: $i,X1: $i] :
( ( X0
!= ( powerset @ X1 ) )
| ( element @ X1 @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl559,zip_derived_cl25]) ).
thf(t5_subset,axiom,
! [A: $i,B: $i,C: $i] :
~ ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) )
& ( empty @ C ) ) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X2 )
| ~ ( element @ X1 @ ( powerset @ X2 ) ) ),
inference(cnf,[status(esa)],[t5_subset]) ).
thf(zip_derived_cl921,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( ( powerset @ X0 )
!= ( powerset @ X1 ) )
| ~ ( empty @ X0 )
| ~ ( in @ X2 @ X1 ) ),
inference('sup-',[status(thm)],[zip_derived_cl789,zip_derived_cl35]) ).
thf(zip_derived_cl927,plain,
! [X0: $i,X1: $i] :
( ( X0 = empty_set )
| ~ ( empty @ X1 )
| ( ( powerset @ X1 )
!= ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl921]) ).
thf(zip_derived_cl968,plain,
! [X0: $i] :
( ( ( powerset @ empty_set )
!= ( powerset @ X0 ) )
| ( X0 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl927]) ).
thf(t10_tops_2,conjecture,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ( ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) )
& ~ ( ( ( complements_of_subsets @ A @ B )
!= empty_set )
& ( 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 ) )
& ~ ( ( ( complements_of_subsets @ A @ B )
!= empty_set )
& ( B = empty_set ) ) ) ),
inference('cnf.neg',[status(esa)],[t10_tops_2]) ).
thf(zip_derived_cl43,plain,
element @ sk__10 @ ( powerset @ ( powerset @ sk__9 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t46_setfam_1,axiom,
! [A: $i,B: $i] :
( ( element @ B @ ( powerset @ ( powerset @ A ) ) )
=> ~ ( ( B != empty_set )
& ( ( complements_of_subsets @ A @ B )
= empty_set ) ) ) ).
thf(zip_derived_cl30,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X0 @ X1 )
!= empty_set )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl117,plain,
( ( sk__10 = empty_set )
| ( ( complements_of_subsets @ sk__9 @ sk__10 )
!= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl30]) ).
thf(zip_derived_cl44,plain,
( ( sk__10 != empty_set )
| ( ( complements_of_subsets @ sk__9 @ sk__10 )
!= empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118,plain,
( ( complements_of_subsets @ sk__9 @ sk__10 )
!= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl44]) ).
thf(zip_derived_cl47,plain,
( ( ( complements_of_subsets @ sk__9 @ sk__10 )
= empty_set )
| ( sk__10 = empty_set ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl118_005,plain,
( ( complements_of_subsets @ sk__9 @ sk__10 )
!= empty_set ),
inference(clc,[status(thm)],[zip_derived_cl117,zip_derived_cl44]) ).
thf(zip_derived_cl119,plain,
( ( empty_set != empty_set )
| ( sk__10 = empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl47,zip_derived_cl118]) ).
thf(zip_derived_cl120,plain,
sk__10 = empty_set,
inference(simplify,[status(thm)],[zip_derived_cl119]) ).
thf(zip_derived_cl125,plain,
( ( complements_of_subsets @ sk__9 @ empty_set )
!= empty_set ),
inference(demod,[status(thm)],[zip_derived_cl118,zip_derived_cl120]) ).
thf(zip_derived_cl980,plain,
! [X0: $i] :
( ( ( complements_of_subsets @ sk__9 @ X0 )
!= empty_set )
| ( ( powerset @ empty_set )
!= ( powerset @ X0 ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl968,zip_derived_cl125]) ).
thf(zip_derived_cl1096,plain,
! [X0: $i] :
( ( X0 != empty_set )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__9 ) ) )
| ( ( powerset @ empty_set )
!= ( powerset @ ( complements_of_subsets @ sk__9 @ X0 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl980]) ).
thf(zip_derived_cl20_006,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ( in @ ( sk__4 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[l71_subset_1]) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( X1 != empty_set ) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
thf(zip_derived_cl326,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ( X0 != empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl0]) ).
thf(zip_derived_cl1097,plain,
! [X0: $i] :
( ( ( powerset @ empty_set )
!= ( powerset @ ( complements_of_subsets @ sk__9 @ X0 ) ) )
| ( X0 != empty_set ) ),
inference(clc,[status(thm)],[zip_derived_cl1096,zip_derived_cl326]) ).
thf(zip_derived_cl1098,plain,
! [X0: $i] :
( ( ( powerset @ empty_set )
!= ( powerset @ X0 ) )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__9 ) ) )
| ( ( complements_of_subsets @ sk__9 @ X0 )
!= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1097]) ).
thf(zip_derived_cl30_007,plain,
! [X0: $i,X1: $i] :
( ( ( complements_of_subsets @ X0 @ X1 )
!= empty_set )
| ( X1 = empty_set )
| ~ ( element @ X1 @ ( powerset @ ( powerset @ X0 ) ) ) ),
inference(cnf,[status(esa)],[t46_setfam_1]) ).
thf(zip_derived_cl1099,plain,
! [X0: $i] :
( ( ( complements_of_subsets @ sk__9 @ X0 )
!= empty_set )
| ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__9 ) ) ) ),
inference(clc,[status(thm)],[zip_derived_cl1098,zip_derived_cl30]) ).
thf(zip_derived_cl1106,plain,
! [X0: $i] :
( ~ ( element @ X0 @ ( powerset @ ( powerset @ sk__9 ) ) )
| ( ( complements_of_subsets @ sk__9 @ ( complements_of_subsets @ sk__9 @ X0 ) )
!= empty_set ) ),
inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl1099]) ).
thf(zip_derived_cl1187,plain,
( ( complements_of_subsets @ sk__9 @ ( complements_of_subsets @ sk__9 @ empty_set ) )
!= empty_set ),
inference('sup-',[status(thm)],[zip_derived_cl104,zip_derived_cl1106]) ).
thf(zip_derived_cl1195,plain,
( ( empty_set != empty_set )
| ~ ( element @ empty_set @ ( powerset @ ( powerset @ sk__9 ) ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl1187]) ).
thf(zip_derived_cl104_008,plain,
! [X0: $i] : ( element @ empty_set @ ( powerset @ X0 ) ),
inference('sup-',[status(thm)],[zip_derived_cl101,zip_derived_cl25]) ).
thf(zip_derived_cl1198,plain,
empty_set != empty_set,
inference(demod,[status(thm)],[zip_derived_cl1195,zip_derived_cl104]) ).
thf(zip_derived_cl1199,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl1198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU326+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IIo6Vd1tza true
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.19/0.35 % DateTime : Wed Aug 23 15:36:26 EDT 2023
% 0.19/0.35 % CPUTime :
% 0.19/0.35 % Running portfolio for 300 s
% 0.19/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.35 % Number of cores: 8
% 0.19/0.35 % Python version: Python 3.6.8
% 0.19/0.35 % Running in FO mode
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.62/0.98 % Solved by fo/fo4.sh.
% 1.62/0.98 % done 426 iterations in 0.193s
% 1.62/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.62/0.98 % SZS output start Refutation
% See solution above
% 1.62/0.98
% 1.62/0.98
% 1.62/0.98 % Terminating...
% 1.71/1.05 % Runner terminated.
% 1.71/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------