TSTP Solution File: SET664+3 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET664+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.HicWdwCxZ4 true
% Computer : n007.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 16:15:24 EDT 2023
% Result : Theorem 0.97s 0.77s
% Output : Refutation 0.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 22
% Syntax : Number of formulae : 55 ( 18 unt; 14 typ; 0 def)
% Number of atoms : 96 ( 15 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 294 ( 30 ~; 28 |; 3 &; 209 @)
% ( 1 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 55 ( 0 ^; 55 !; 0 ?; 55 :)
% Comments :
%------------------------------------------------------------------------------
thf(empty_set_type,type,
empty_set: $i ).
thf(range_of_type,type,
range_of: $i > $i ).
thf(subset_type_type,type,
subset_type: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(relation_like_type,type,
relation_like: $i > $o ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(domain_of_type,type,
domain_of: $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(binary_relation_type_type,type,
binary_relation_type: $i ).
thf(prove_relset_1_27,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ C @ B ) )
=> ( ( ilf_type @ D @ ( relation_type @ C @ empty_set ) )
=> ( D = empty_set ) ) ) ) ) ).
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 @ ( relation_type @ C @ B ) )
=> ( ( ilf_type @ D @ ( relation_type @ C @ empty_set ) )
=> ( D = empty_set ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_27]) ).
thf(zip_derived_cl63,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p3,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ B @ C ) )
=> ( ( subset @ ( domain_of @ D ) @ B )
& ( subset @ ( range_of @ D ) @ C ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( subset @ ( range_of @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p3]) ).
thf(p33,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl59,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl59_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl655,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( subset @ ( range_of @ X1 ) @ X0 )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl657,plain,
subset @ ( range_of @ sk__14 ) @ empty_set,
inference('s_sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl655]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( subset @ B @ empty_set )
=> ( B = empty_set ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ empty_set )
| ( X0 = empty_set )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl59_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl649,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ empty_set )
| ( X0 = empty_set ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl59]) ).
thf(zip_derived_cl666,plain,
( ( range_of @ sk__14 )
= empty_set ),
inference('s_sup-',[status(thm)],[zip_derived_cl657,zip_derived_cl649]) ).
thf(p2,axiom,
! [B: $i] :
( ( ilf_type @ B @ binary_relation_type )
=> ( ( ( ( domain_of @ B )
= empty_set )
| ( ( range_of @ B )
= empty_set ) )
=> ( B = empty_set ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( ( range_of @ X0 )
!= empty_set )
| ( X0 = empty_set )
| ~ ( ilf_type @ X0 @ binary_relation_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(zip_derived_cl668,plain,
( ( empty_set != empty_set )
| ( sk__14 = empty_set )
| ~ ( ilf_type @ sk__14 @ binary_relation_type ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl666,zip_derived_cl2]) ).
thf(zip_derived_cl669,plain,
( ~ ( ilf_type @ sk__14 @ binary_relation_type )
| ( sk__14 = empty_set ) ),
inference(simplify,[status(thm)],[zip_derived_cl668]) ).
thf(zip_derived_cl62,plain,
sk__14 != empty_set,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl670,plain,
~ ( ilf_type @ sk__14 @ binary_relation_type ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl669,zip_derived_cl62]) ).
thf(zip_derived_cl61,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__12 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p6,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_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p6]) ).
thf(zip_derived_cl59_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl59_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl671,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl59,zip_derived_cl59]) ).
thf(p28,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 ) ) )
=> ( relation_like @ D ) ) ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p28]) ).
thf(zip_derived_cl59_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl59_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl697,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( relation_like @ X1 )
| ~ ( ilf_type @ X1 @ ( subset_type @ ( cross_product @ X2 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl59,zip_derived_cl59]) ).
thf(zip_derived_cl698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X2 @ ( relation_type @ X1 @ X0 ) )
| ( relation_like @ X2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl671,zip_derived_cl697]) ).
thf(zip_derived_cl702,plain,
relation_like @ sk__14,
inference('s_sup-',[status(thm)],[zip_derived_cl61,zip_derived_cl698]) ).
thf(p13,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ( ilf_type @ B @ binary_relation_type )
<=> ( ( relation_like @ B )
& ( ilf_type @ B @ set_type ) ) ) ) ).
thf(zip_derived_cl21,plain,
! [X0: $i] :
( ~ ( relation_like @ X0 )
| ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p13]) ).
thf(zip_derived_cl688,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( ilf_type @ X0 @ set_type )
| ~ ( relation_like @ X0 ) ),
inference(simplify,[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl59_007,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p33]) ).
thf(zip_derived_cl689,plain,
! [X0: $i] :
( ( ilf_type @ X0 @ binary_relation_type )
| ~ ( relation_like @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl688,zip_derived_cl59]) ).
thf(zip_derived_cl704,plain,
ilf_type @ sk__14 @ binary_relation_type,
inference('s_sup-',[status(thm)],[zip_derived_cl702,zip_derived_cl689]) ).
thf(zip_derived_cl708,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl670,zip_derived_cl704]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET664+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HicWdwCxZ4 true
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 11:47:56 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.66 % Total configuration time : 435
% 0.21/0.66 % Estimated wc time : 1092
% 0.21/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.97/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.97/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.97/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.97/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.97/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.97/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.97/0.77 % Solved by fo/fo6_bce.sh.
% 0.97/0.77 % BCE start: 65
% 0.97/0.77 % BCE eliminated: 3
% 0.97/0.77 % PE start: 62
% 0.97/0.77 logic: eq
% 0.97/0.77 % PE eliminated: 0
% 0.97/0.77 % done 50 iterations in 0.033s
% 0.97/0.77 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.97/0.77 % SZS output start Refutation
% See solution above
% 0.97/0.77
% 0.97/0.77
% 0.97/0.77 % Terminating...
% 1.57/0.86 % Runner terminated.
% 1.57/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------