%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM410+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OTEEtyoz8s true
% Computer : n024.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 04:46:53 PM UTC 2025
% Result : Theorem 0.56s 0.86s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 61 ( 1 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 164 ( 27 ~; 21 |; 5 &; 102 @)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 19 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(element_type,type,
element: $i > $i > $o ).
thf(transfinite_sequence_of_type,type,
transfinite_sequence_of: $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(transfinite_sequence_type,type,
transfinite_sequence: $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__16_type,type,
sk__16: $i ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl84,plain,
! [X0: $i,X1: $i] :
( ( subset @ X0 @ X1 )
| ~ ( element @ X0 @ ( powerset @ X1 ) ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(d8_ordinal1,axiom,
! [A: $i,B: $i] :
( ( ( relation @ B )
& ( function @ B )
& ( transfinite_sequence @ B ) )
=> ( ( transfinite_sequence_of @ B @ A )
<=> ( subset @ ( relation_rng @ B ) @ A ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( subset @ ( relation_rng @ X0 ) @ X1 )
| ( transfinite_sequence_of @ X0 @ X1 )
| ~ ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_ordinal1]) ).
thf(t46_ordinal1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( ordinal @ ( relation_dom @ A ) )
=> ( transfinite_sequence_of @ A @ ( relation_rng @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( ordinal @ ( relation_dom @ A ) )
=> ( transfinite_sequence_of @ A @ ( relation_rng @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t46_ordinal1]) ).
thf(zip_derived_cl88,plain,
~ ( transfinite_sequence_of @ sk__16 @ ( relation_rng @ sk__16 ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl409,plain,
( ~ ( relation @ sk__16 )
| ~ ( function @ sk__16 )
| ~ ( transfinite_sequence @ sk__16 )
| ~ ( subset @ ( relation_rng @ sk__16 ) @ ( relation_rng @ sk__16 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl14,zip_derived_cl88]) ).
thf(zip_derived_cl422,plain,
( ~ ( element @ ( relation_rng @ sk__16 ) @ ( powerset @ ( relation_rng @ sk__16 ) ) )
| ~ ( transfinite_sequence @ sk__16 )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl409]) ).
thf(zip_derived_cl87,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl587,plain,
( ~ ( element @ ( relation_rng @ sk__16 ) @ ( powerset @ ( relation_rng @ sk__16 ) ) )
| ~ ( transfinite_sequence @ sk__16 ) ),
inference(demod,[status(thm)],[zip_derived_cl422,zip_derived_cl87,zip_derived_cl86]) ).
thf(reflexivity_r1_tarski,axiom,
! [A: $i,B: $i] : ( subset @ A @ A ) ).
thf(zip_derived_cl81,plain,
! [X0: $i] : ( subset @ X0 @ X0 ),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
thf(zip_derived_cl85,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl417,plain,
! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl81,zip_derived_cl85]) ).
thf(zip_derived_cl717,plain,
~ ( transfinite_sequence @ sk__16 ),
inference(demod,[status(thm)],[zip_derived_cl587,zip_derived_cl417]) ).
thf(zip_derived_cl89,plain,
ordinal @ ( relation_dom @ sk__16 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d7_ordinal1,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( transfinite_sequence @ A )
<=> ( ordinal @ ( relation_dom @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i] :
( ~ ( ordinal @ ( relation_dom @ X0 ) )
| ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d7_ordinal1]) ).
thf(zip_derived_cl507,plain,
! [X0: $i] :
( ( ( relation_dom @ sk__16 )
!= ( relation_dom @ X0 ) )
| ~ ( relation @ X0 )
| ~ ( function @ X0 )
| ( transfinite_sequence @ X0 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl89,zip_derived_cl12]) ).
thf(zip_derived_cl817,plain,
( ( transfinite_sequence @ sk__16 )
| ~ ( function @ sk__16 )
| ~ ( relation @ sk__16 ) ),
inference(eq_res,[status(thm)],[zip_derived_cl507]) ).
thf(zip_derived_cl87_001,plain,
function @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl86_002,plain,
relation @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl818,plain,
transfinite_sequence @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl817,zip_derived_cl87,zip_derived_cl86]) ).
thf(zip_derived_cl822,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl717,zip_derived_cl818]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM410+1 : TPTP v9.2.0. Released v3.2.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.OTEEtyoz8s true
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 16:15:38 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.34 % Running in FO mode
% 0.53/0.65 % Total configuration time : 435
% 0.53/0.65 % Estimated wc time : 1092
% 0.53/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.56/0.86 % Solved by fo/fo6_bce.sh.
% 0.56/0.86 % BCE start: 95
% 0.56/0.86 % BCE eliminated: 10
% 0.56/0.86 % PE start: 85
% 0.56/0.86 logic: eq
% 0.56/0.86 % PE eliminated: -10
% 0.56/0.86 % done 106 iterations in 0.103s
% 0.56/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.86 % SZS output start Refutation
% See solution above
% 0.56/0.86
% 0.56/0.86
% 0.56/0.86 % Terminating...
% 0.60/0.96 % Runner terminated.
% 0.60/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------