%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : TOP021+1 : TPTP v9.2.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ge6wtmwXNM true
% Computer : n023.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 05:08:42 PM UTC 2025
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 118 ( 8 ~; 6 |; 2 &; 99 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(apply_type,type,
apply: $i > $i > $i ).
thf(sk__type,type,
sk_: $i ).
thf(the_projection_function_type,type,
the_projection_function: $i > $i > $i > $i ).
thf(the_product_top_space_over_type,type,
the_product_top_space_over: $i > $i > $i ).
thf(sk__2_type,type,
sk__2: $i ).
thf(an_open_function_from_onto_type,type,
an_open_function_from_onto: $i > $i > $i > $o ).
thf(a_locally_compact_top_space_type,type,
a_locally_compact_top_space: $i > $o ).
thf(a_continuous_function_from_onto_type,type,
a_continuous_function_from_onto: $i > $i > $i > $o ).
thf(sk__1_type,type,
sk__1: $i ).
thf(kelley_5_19a,conjecture,
! [X1: $i,A1: $i] :
( ( a_locally_compact_top_space @ ( the_product_top_space_over @ X1 @ A1 ) )
=> ! [A: $i] : ( a_locally_compact_top_space @ ( apply @ X1 @ A ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [X1: $i,A1: $i] :
( ( a_locally_compact_top_space @ ( the_product_top_space_over @ X1 @ A1 ) )
=> ! [A: $i] : ( a_locally_compact_top_space @ ( apply @ X1 @ A ) ) ),
inference('cnf.neg',[status(esa)],[kelley_5_19a]) ).
thf(zip_derived_cl4,plain,
~ ( a_locally_compact_top_space @ ( apply @ sk_ @ sk__1 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
a_locally_compact_top_space @ ( the_product_top_space_over @ sk_ @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(kelley_3_2,axiom,
! [A: $i,X: $i,A1: $i,X1: $i] : ( an_open_function_from_onto @ ( the_projection_function @ A @ X @ A1 ) @ ( the_product_top_space_over @ X1 @ A1 ) @ ( apply @ X1 @ A ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : ( an_open_function_from_onto @ ( the_projection_function @ X0 @ X1 @ X2 ) @ ( the_product_top_space_over @ X3 @ X2 ) @ ( apply @ X3 @ X0 ) ),
inference(cnf,[status(esa)],[kelley_3_2]) ).
thf(kelley_p90a,axiom,
! [A: $i,X: $i,A1: $i] : ( a_continuous_function_from_onto @ ( the_projection_function @ A @ X @ A1 ) @ ( the_product_top_space_over @ X @ A1 ) @ ( apply @ X @ A ) ) ).
thf(zip_derived_cl0,plain,
! [X0: $i,X1: $i,X2: $i] : ( a_continuous_function_from_onto @ ( the_projection_function @ X0 @ X1 @ X2 ) @ ( the_product_top_space_over @ X1 @ X2 ) @ ( apply @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[kelley_p90a]) ).
thf(kelley_p_147e,axiom,
! [F: $i,A: $i,B: $i] :
( ( ( an_open_function_from_onto @ F @ A @ B )
& ( a_continuous_function_from_onto @ F @ A @ B )
& ( a_locally_compact_top_space @ A ) )
=> ( a_locally_compact_top_space @ B ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_locally_compact_top_space @ X0 )
| ~ ( an_open_function_from_onto @ X1 @ X0 @ X2 )
| ~ ( a_continuous_function_from_onto @ X1 @ X0 @ X2 )
| ( a_locally_compact_top_space @ X2 ) ),
inference(cnf,[status(esa)],[kelley_p_147e]) ).
thf(zip_derived_cl5,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( a_locally_compact_top_space @ ( apply @ X1 @ X0 ) )
| ~ ( an_open_function_from_onto @ ( the_projection_function @ X0 @ X1 @ X2 ) @ ( the_product_top_space_over @ X1 @ X2 ) @ ( apply @ X1 @ X0 ) )
| ~ ( a_locally_compact_top_space @ ( the_product_top_space_over @ X1 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl2]) ).
thf(zip_derived_cl6,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( a_locally_compact_top_space @ ( the_product_top_space_over @ X1 @ X0 ) )
| ( a_locally_compact_top_space @ ( apply @ X1 @ X2 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).
thf(zip_derived_cl7,plain,
! [X0: $i] : ( a_locally_compact_top_space @ ( apply @ sk_ @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl6]) ).
thf(zip_derived_cl8,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : TOP021+1 : TPTP v9.2.0. Released v3.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ge6wtmwXNM true
% 0.13/0.35 % Computer : n023.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 15:41:53 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % 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
% 0.55/0.68 % Total configuration time : 435
% 0.55/0.68 % Estimated wc time : 1092
% 0.55/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.77 % Solved by fo/fo6_bce.sh.
% 0.55/0.77 % BCE start: 5
% 0.55/0.77 % BCE eliminated: 0
% 0.55/0.77 % PE start: 5
% 0.55/0.77 logic: neq
% 0.55/0.77 % PE eliminated: 2
% 0.55/0.77 % done 3 iterations in 0.006s
% 0.55/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77
% 0.55/0.77
% 0.55/0.77 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------