%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET676+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.Hejb1XlIZl 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 Oct 2 04:52:39 PM UTC 2025
% Result : Theorem 0.58s 0.81s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 29 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 110 ( 8 ~; 6 |; 0 &; 89 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 ^; 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(identity_relation_of_type_type,type,
identity_relation_of_type: $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(prove_relset_1_41,conjecture,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ B @ B ) @ ( identity_relation_of_type @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( ilf_type @ ( cross_product @ B @ B ) @ ( identity_relation_of_type @ B ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_41]) ).
thf(zip_derived_cl40,plain,
~ ( ilf_type @ ( cross_product @ sk__11 @ sk__11 ) @ ( identity_relation_of_type @ sk__11 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ ( cross_product @ B @ C ) @ ( relation_type @ B @ C ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(p19,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl38,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl38_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl43,plain,
! [X0: $i,X1: $i] : ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl38,zip_derived_cl38]) ).
thf(p4,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_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p4]) ).
thf(zip_derived_cl38_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl38_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl67,plain,
! [X0: $i,X1: $i] :
( ~ ( ilf_type @ X0 @ ( relation_type @ X1 @ X1 ) )
| ( ilf_type @ X0 @ ( identity_relation_of_type @ X1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl38,zip_derived_cl38]) ).
thf(zip_derived_cl68,plain,
! [X0: $i] : ( ilf_type @ ( cross_product @ X0 @ X0 ) @ ( identity_relation_of_type @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl67]) ).
thf(zip_derived_cl86,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET676+3 : TPTP v9.2.0. Released v2.2.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Hejb1XlIZl true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Wed Oct 1 13:19:23 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.49/0.64 % Total configuration time : 435
% 0.49/0.64 % Estimated wc time : 1092
% 0.49/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.81 % Solved by fo/fo1_av.sh.
% 0.58/0.81 % done 34 iterations in 0.018s
% 0.58/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.81 % SZS output start Refutation
% See solution above
% 0.58/0.81
% 0.58/0.81
% 0.58/0.81 % Terminating...
% 0.61/0.87 % Runner terminated.
% 1.84/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------