TSTP Solution File: SET646+3 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET646+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uQrxaet9R5 true
% Computer : n027.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 16:15:17 EDT 2023
% Result : Theorem 10.39s 2.20s
% Output : Refutation 10.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 76 ( 26 unt; 16 typ; 0 def)
% Number of atoms : 156 ( 8 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 539 ( 54 ~; 52 |; 5 &; 389 @)
% ( 7 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 108 ( 0 ^; 108 !; 0 ?; 108 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordered_pair_type,type,
ordered_pair: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(singleton_type,type,
singleton: $i > $i ).
thf(empty_type,type,
empty: $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(sk__11_type,type,
sk__11: $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(member_type,type,
member: $i > $i > $o ).
thf(power_set_type,type,
power_set: $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(sk__5_type,type,
sk__5: $i > $i > $i ).
thf(member_type_type,type,
member_type: $i > $i ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( member @ ( ordered_pair @ B @ C ) @ ( cross_product @ D @ E ) )
<=> ( ( member @ B @ D )
& ( member @ C @ E ) ) ) ) ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( member @ X2 @ X3 )
| ~ ( member @ X0 @ X1 )
| ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) )
| ~ ( ilf_type @ X3 @ set_type )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(p25,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl53,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( member @ X2 @ X3 )
| ~ ( member @ X0 @ X1 )
| ( member @ ( ordered_pair @ X2 @ X0 ) @ ( cross_product @ X3 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(p17,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( member @ B @ ( power_set @ C ) )
<=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( member @ D @ B )
=> ( member @ D @ C ) ) ) ) ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(zip_derived_cl53_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl724,plain,
! [X0: $i,X1: $i] :
( ( member @ ( sk__5 @ X0 @ X1 ) @ X1 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl53,zip_derived_cl53]) ).
thf(p5,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( D
= ( singleton @ C ) )
<=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( member @ E @ D )
<=> ( E = C ) ) ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( X1
!= ( singleton @ X0 ) )
| ( X2 = X0 )
| ~ ( member @ X2 @ X1 )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X3 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(zip_derived_cl53_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_008,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_009,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl579,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1
!= ( singleton @ X0 ) )
| ( X2 = X0 )
| ~ ( member @ X2 @ X1 ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl580,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( singleton @ X0 ) )
| ( X1 = X0 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl579]) ).
thf(zip_derived_cl726,plain,
! [X0: $i,X1: $i] :
( ( member @ ( singleton @ X0 ) @ ( power_set @ X1 ) )
| ( ( sk__5 @ X1 @ ( singleton @ X0 ) )
= X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl724,zip_derived_cl580]) ).
thf(zip_derived_cl35,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p17]) ).
thf(zip_derived_cl53_010,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_011,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl657,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ ( sk__5 @ X0 @ X1 ) @ X0 )
| ( member @ X1 @ ( power_set @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl6120,plain,
! [X0: $i,X1: $i] :
( ( member @ ( singleton @ X0 ) @ ( power_set @ X1 ) )
| ~ ( member @ X0 @ X1 )
| ( member @ ( singleton @ X0 ) @ ( power_set @ X1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl726,zip_derived_cl657]) ).
thf(zip_derived_cl6131,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X0 @ X1 )
| ( member @ ( singleton @ X0 ) @ ( power_set @ X1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl6120]) ).
thf(p19,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ~ ( empty @ C )
& ( ilf_type @ C @ set_type ) )
=> ( ( ilf_type @ B @ ( member_type @ C ) )
<=> ( member @ B @ C ) ) ) ) ).
thf(zip_derived_cl39,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl53_012,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_013,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl744,plain,
! [X0: $i,X1: $i] :
( ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ( ilf_type @ X1 @ ( member_type @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl53,zip_derived_cl53]) ).
thf(p21,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( empty @ B )
<=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ~ ( member @ C @ B ) ) ) ) ).
thf(zip_derived_cl44,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 )
| ~ ( ilf_type @ X1 @ set_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p21]) ).
thf(zip_derived_cl53_014,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_015,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl553,plain,
! [X0: $i,X1: $i] :
( ~ ( empty @ X0 )
| ~ ( member @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl745,plain,
! [X0: $i,X1: $i] :
( ( ilf_type @ X1 @ ( member_type @ X0 ) )
| ~ ( member @ X1 @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl744,zip_derived_cl553]) ).
thf(p12,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( subset_type @ B ) )
<=> ( ilf_type @ C @ ( member_type @ ( power_set @ B ) ) ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p12]) ).
thf(zip_derived_cl53_016,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_017,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl640,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( member_type @ ( power_set @ X1 ) ) )
| ( ilf_type @ X0 @ ( subset_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl21,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl746,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ ( power_set @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl640]) ).
thf(zip_derived_cl6173,plain,
! [X0: $i,X1: $i] :
( ~ ( member @ X1 @ X0 )
| ( ilf_type @ ( singleton @ X1 ) @ ( subset_type @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6131,zip_derived_cl746]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ! [D: $i] :
( ( ilf_type @ D @ ( subset_type @ ( cross_product @ B @ C ) ) )
=> ( ilf_type @ D @ ( relation_type @ B @ C ) ) )
& ! [E: $i] :
( ( ilf_type @ E @ ( relation_type @ B @ C ) )
=> ( ilf_type @ E @ ( subset_type @ ( cross_product @ B @ C ) ) ) ) ) ) ) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(zip_derived_cl53_018,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl53_019,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p25]) ).
thf(zip_derived_cl567,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl53,zip_derived_cl53]) ).
thf(zip_derived_cl6196,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( member @ X2 @ ( cross_product @ X1 @ X0 ) )
| ( ilf_type @ ( singleton @ X2 ) @ ( relation_type @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6173,zip_derived_cl567]) ).
thf(prove_relset_1_8,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( ( member @ D @ B )
& ( member @ E @ C ) )
=> ( ilf_type @ ( singleton @ ( ordered_pair @ D @ E ) ) @ ( relation_type @ B @ C ) ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ! [E: $i] :
( ( ilf_type @ E @ set_type )
=> ( ( ( member @ D @ B )
& ( member @ E @ C ) )
=> ( ilf_type @ ( singleton @ ( ordered_pair @ D @ E ) ) @ ( relation_type @ B @ C ) ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_8]) ).
thf(zip_derived_cl58,plain,
~ ( ilf_type @ ( singleton @ ( ordered_pair @ sk__13 @ sk__14 ) ) @ ( relation_type @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6268,plain,
~ ( member @ ( ordered_pair @ sk__13 @ sk__14 ) @ ( cross_product @ sk__11 @ sk__12 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6196,zip_derived_cl58]) ).
thf(zip_derived_cl6279,plain,
( ~ ( member @ sk__14 @ sk__12 )
| ~ ( member @ sk__13 @ sk__11 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl547,zip_derived_cl6268]) ).
thf(zip_derived_cl57,plain,
member @ sk__14 @ sk__12,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
member @ sk__13 @ sk__11,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6282,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl6279,zip_derived_cl57,zip_derived_cl56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET646+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.uQrxaet9R5 true
% 0.17/0.35 % Computer : n027.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 14:47:05 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.22/0.64 % Total configuration time : 435
% 0.22/0.64 % Estimated wc time : 1092
% 0.22/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.38/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 10.39/2.20 % Solved by fo/fo6_bce.sh.
% 10.39/2.20 % BCE start: 61
% 10.39/2.20 % BCE eliminated: 0
% 10.39/2.20 % PE start: 61
% 10.39/2.20 logic: eq
% 10.39/2.20 % PE eliminated: 0
% 10.39/2.20 % done 668 iterations in 1.422s
% 10.39/2.20 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 10.39/2.20 % SZS output start Refutation
% See solution above
% 10.39/2.20
% 10.39/2.20
% 10.39/2.20 % Terminating...
% 10.39/2.26 % Runner terminated.
% 10.39/2.27 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------