%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET677+3 : TPTP v9.2.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V3jiiE5gCW true
% Computer : n017.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 04:52:39 PM UTC 2025
% Result : Theorem 0.37s 0.77s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 76 ( 20 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 289 ( 30 ~; 23 |; 4 &; 215 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(range_type,type,
range: $i > $i > $i > $i ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__13_type,type,
sk__13: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(identity_relation_of_type,type,
identity_relation_of: $i > $i ).
thf(identity_relation_of_type_type,type,
identity_relation_of_type: $i > $i ).
thf(domain_type,type,
domain: $i > $i > $i > $i ).
thf(prove_relset_1_44,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
=> ( ( subset @ ( identity_relation_of @ B ) @ C )
=> ( ( B
= ( domain @ B @ B @ C ) )
& ( B
= ( range @ B @ B @ C ) ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
=> ( ( subset @ ( identity_relation_of @ B ) @ C )
=> ( ( B
= ( domain @ B @ B @ C ) )
& ( B
= ( range @ B @ B @ C ) ) ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_44]) ).
thf(zip_derived_cl65,plain,
subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p2,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 @ ( identity_relation_of @ C ) @ D )
=> ( ( subset @ C @ ( domain @ B @ C @ D ) )
& ( C
= ( range @ B @ C @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ ( identity_relation_of @ X0 ) @ X1 )
| ( X0
= ( range @ X2 @ X0 @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p2]) ).
thf(p34,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl63,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl63_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ ( identity_relation_of @ X0 ) @ X1 )
| ( X0
= ( range @ X2 @ X0 @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl63,zip_derived_cl63]) ).
thf(zip_derived_cl596,plain,
! [X0: $i] :
( ( sk__13
= ( range @ X0 @ sk__13 @ sk__14 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ X0 @ sk__13 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl592]) ).
thf(zip_derived_cl65_002,plain,
subset @ ( identity_relation_of @ sk__13 ) @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ ( relation_type @ C @ B ) )
=> ( ( subset @ ( identity_relation_of @ C ) @ D )
=> ( ( C
= ( domain @ C @ B @ D ) )
& ( subset @ C @ ( range @ C @ B @ D ) ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ ( identity_relation_of @ X0 ) @ X1 )
| ( X0
= ( domain @ X0 @ X2 @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl63_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl63_004,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl578,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ ( identity_relation_of @ X0 ) @ X1 )
| ( X0
= ( domain @ X0 @ X2 @ X1 ) )
| ~ ( ilf_type @ X1 @ ( relation_type @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl63,zip_derived_cl63]) ).
thf(zip_derived_cl579,plain,
! [X0: $i] :
( ( sk__13
= ( domain @ sk__13 @ X0 @ sk__14 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl578]) ).
thf(zip_derived_cl66,plain,
( ( sk__13
!= ( domain @ sk__13 @ sk__13 @ sk__14 ) )
| ( sk__13
!= ( range @ sk__13 @ sk__13 @ sk__14 ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl611,plain,
( ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__13 ) )
| ( sk__13 != sk__13 )
| ( sk__13
!= ( range @ sk__13 @ sk__13 @ sk__14 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl579,zip_derived_cl66]) ).
thf(zip_derived_cl613,plain,
( ( sk__13
!= ( range @ sk__13 @ sk__13 @ sk__14 ) )
| ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__13 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl611]) ).
thf(zip_derived_cl67,plain,
ilf_type @ sk__14 @ ( identity_relation_of_type @ sk__13 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p5,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ( ilf_type @ C @ ( identity_relation_of_type @ B ) )
<=> ( ilf_type @ C @ ( relation_type @ B @ B ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p5]) ).
thf(zip_derived_cl63_005,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl63_006,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p34]) ).
thf(zip_derived_cl622,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8,zip_derived_cl63,zip_derived_cl63]) ).
thf(zip_derived_cl624,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__13 ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl622]) ).
thf(zip_derived_cl628,plain,
( sk__13
!= ( range @ sk__13 @ sk__13 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl613,zip_derived_cl624]) ).
thf(zip_derived_cl644,plain,
( ~ ( ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__13 ) )
| ( sk__13 != sk__13 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl596,zip_derived_cl628]) ).
thf(zip_derived_cl624_007,plain,
ilf_type @ sk__14 @ ( relation_type @ sk__13 @ sk__13 ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl622]) ).
thf(zip_derived_cl646,plain,
sk__13 != sk__13,
inference(demod,[status(thm)],[zip_derived_cl644,zip_derived_cl624]) ).
thf(zip_derived_cl647,plain,
$false,
inference(simplify,[status(thm)],[zip_derived_cl646]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : SET677+3 : TPTP v9.2.0. Released v2.2.0.
% 0.04/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V3jiiE5gCW true
% 0.09/0.31 % Computer : n017.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 13:15:23 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.31 % Number of cores: 8
% 0.13/0.32 % Python version: Python 3.6.8
% 0.13/0.32 % Running in FO mode
% 0.36/0.56 % Total configuration time : 435
% 0.36/0.56 % Estimated wc time : 1092
% 0.36/0.56 % Estimated cpu time (7 cpus) : 156.0
% 0.36/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.37/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.37/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.37/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.37/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.37/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.37/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.37/0.77 % Solved by fo/fo6_bce.sh.
% 0.37/0.77 % BCE start: 68
% 0.37/0.77 % BCE eliminated: 0
% 0.37/0.77 % PE start: 68
% 0.37/0.77 logic: eq
% 0.37/0.77 % PE eliminated: 0
% 0.37/0.77 % done 47 iterations in 0.040s
% 0.37/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.37/0.77 % SZS output start Refutation
% See solution above
% 0.37/0.77
% 0.37/0.77
% 0.37/0.77 % Terminating...
% 1.37/0.93 % Runner terminated.
% 1.37/0.93 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------