%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET643+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.eaVKrWA9sR true
% Computer : n031.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 04:52:33 PM UTC 2025
% Result : Theorem 0.52s 0.76s
% Output : Refutation 0.52s
% 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 : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 111 ( 8 ~; 6 |; 0 &; 88 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 23 !; 0 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_type_type,type,
relation_type: $i > $i > $i ).
thf(sk__11_type,type,
sk__11: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(cross_product_type,type,
cross_product: $i > $i > $i ).
thf(set_type_type,type,
set_type: $i ).
thf(sk__12_type,type,
sk__12: $i ).
thf(ilf_type_type,type,
ilf_type: $i > $i > $o ).
thf(prove_relset_1_5,conjecture,
! [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(zf_stmt_0,negated_conjecture,
~ ! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ( ilf_type @ ( cross_product @ B @ C ) @ ( relation_type @ B @ C ) ) ) ),
inference('cnf.neg',[status(esa)],[prove_relset_1_5]) ).
thf(zip_derived_cl42,plain,
~ ( ilf_type @ ( cross_product @ sk__11 @ sk__12 ) @ ( relation_type @ sk__11 @ sk__12 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(p10,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ( subset @ B @ B ) ) ).
thf(zip_derived_cl19,plain,
! [X0: $i] :
( ( subset @ X0 @ X0 )
| ~ ( ilf_type @ X0 @ set_type ) ),
inference(cnf,[status(esa)],[p10]) ).
thf(p19,axiom,
! [B: $i] : ( ilf_type @ B @ set_type ) ).
thf(zip_derived_cl40,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl418,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl40]) ).
thf(p1,axiom,
! [B: $i] :
( ( ilf_type @ B @ set_type )
=> ! [C: $i] :
( ( ilf_type @ C @ set_type )
=> ! [D: $i] :
( ( ilf_type @ D @ set_type )
=> ( ( subset @ B @ ( cross_product @ C @ D ) )
=> ( ilf_type @ B @ ( relation_type @ C @ D ) ) ) ) ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( ilf_type @ X0 @ set_type )
| ~ ( subset @ X1 @ ( cross_product @ X0 @ X2 ) )
| ( ilf_type @ X1 @ ( relation_type @ X0 @ X2 ) )
| ~ ( ilf_type @ X2 @ set_type )
| ~ ( ilf_type @ X1 @ set_type ) ),
inference(cnf,[status(esa)],[p1]) ).
thf(zip_derived_cl40_001,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_002,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl40_003,plain,
! [X0: $i] : ( ilf_type @ X0 @ set_type ),
inference(cnf,[status(esa)],[p19]) ).
thf(zip_derived_cl413,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X1 @ ( cross_product @ X0 @ X2 ) )
| ( ilf_type @ X1 @ ( relation_type @ X0 @ X2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl40,zip_derived_cl40,zip_derived_cl40]) ).
thf(zip_derived_cl419,plain,
! [X0: $i,X1: $i] : ( ilf_type @ ( cross_product @ X1 @ X0 ) @ ( relation_type @ X1 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl418,zip_derived_cl413]) ).
thf(zip_derived_cl427,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl42,zip_derived_cl419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SET643+3 : TPTP v9.2.0. Released v2.2.0.
% 0.06/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eaVKrWA9sR true
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 12:58:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.76 % Solved by fo/fo6_bce.sh.
% 0.52/0.76 % BCE start: 44
% 0.52/0.76 % BCE eliminated: 0
% 0.52/0.76 % PE start: 44
% 0.52/0.76 logic: eq
% 0.52/0.76 % PE eliminated: 0
% 0.52/0.76 % done 16 iterations in 0.033s
% 0.52/0.76 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.52/0.76 % SZS output start Refutation
% See solution above
% 0.52/0.76
% 0.52/0.76
% 0.52/0.76 % Terminating...
% 0.54/0.84 % Runner terminated.
% 1.75/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------