%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM411+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.n2RNV70nWA true
% Computer : n022.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 0.57s 0.81s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 163 ( 25 ~; 20 |; 5 &; 105 @)
% ( 1 <=>; 7 =>; 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 : 10 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 0 ^; 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk__16_type,type,
sk__16: $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(sk__18_type,type,
sk__18: $i ).
thf(transfinite_sequence_type,type,
transfinite_sequence: $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(transfinite_sequence_of_type,type,
transfinite_sequence_of: $i > $i > $o ).
thf(sk__17_type,type,
sk__17: $i ).
thf(relation_type,type,
relation: $i > $o ).
thf(t47_ordinal1,conjecture,
! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ! [C: $i] :
( ( transfinite_sequence_of @ C @ A )
=> ( transfinite_sequence_of @ C @ B ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( subset @ A @ B )
=> ! [C: $i] :
( ( transfinite_sequence_of @ C @ A )
=> ( transfinite_sequence_of @ C @ B ) ) ),
inference('cnf.neg',[status(esa)],[t47_ordinal1]) ).
thf(zip_derived_cl84,plain,
transfinite_sequence_of @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( transfinite_sequence_of @ X0 @ X1 )
| ( subset @ ( relation_rng @ X0 ) @ X1 )
| ~ ( transfinite_sequence @ X0 )
| ~ ( function @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d8_ordinal1]) ).
thf(zip_derived_cl372,plain,
( ~ ( relation @ sk__18 )
| ~ ( function @ sk__18 )
| ~ ( transfinite_sequence @ sk__18 )
| ( subset @ ( relation_rng @ sk__18 ) @ sk__16 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl13]) ).
thf(zip_derived_cl84_001,plain,
transfinite_sequence_of @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(dt_m1_ordinal1,axiom,
! [A: $i,B: $i] :
( ( transfinite_sequence_of @ B @ A )
=> ( ( relation @ B )
& ( function @ B )
& ( transfinite_sequence @ B ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ( relation @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl373,plain,
relation @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl14]) ).
thf(zip_derived_cl84_002,plain,
transfinite_sequence_of @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( function @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl374,plain,
function @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl15]) ).
thf(zip_derived_cl84_003,plain,
transfinite_sequence_of @ sk__18 @ sk__16,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ( transfinite_sequence @ X0 )
| ~ ( transfinite_sequence_of @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[dt_m1_ordinal1]) ).
thf(zip_derived_cl375,plain,
transfinite_sequence @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl16]) ).
thf(zip_derived_cl459,plain,
subset @ ( relation_rng @ sk__18 ) @ sk__16,
inference(demod,[status(thm)],[zip_derived_cl372,zip_derived_cl373,zip_derived_cl374,zip_derived_cl375]) ).
thf(t1_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ).
thf(zip_derived_cl78,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( subset @ X0 @ X1 )
| ~ ( subset @ X1 @ X2 )
| ( subset @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t1_xboole_1]) ).
thf(zip_derived_cl460,plain,
! [X0: $i] :
( ~ ( subset @ sk__16 @ X0 )
| ( subset @ ( relation_rng @ sk__18 ) @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl459,zip_derived_cl78]) ).
thf(zip_derived_cl12,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(zip_derived_cl83,plain,
~ ( transfinite_sequence_of @ sk__18 @ sk__17 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl364,plain,
( ~ ( relation @ sk__18 )
| ~ ( function @ sk__18 )
| ~ ( transfinite_sequence @ sk__18 )
| ~ ( subset @ ( relation_rng @ sk__18 ) @ sk__17 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl12,zip_derived_cl83]) ).
thf(zip_derived_cl373_004,plain,
relation @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl14]) ).
thf(zip_derived_cl374_005,plain,
function @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl15]) ).
thf(zip_derived_cl375_006,plain,
transfinite_sequence @ sk__18,
inference('dp-resolution',[status(thm)],[zip_derived_cl84,zip_derived_cl16]) ).
thf(zip_derived_cl506,plain,
~ ( subset @ ( relation_rng @ sk__18 ) @ sk__17 ),
inference(demod,[status(thm)],[zip_derived_cl364,zip_derived_cl373,zip_derived_cl374,zip_derived_cl375]) ).
thf(zip_derived_cl507,plain,
~ ( subset @ sk__16 @ sk__17 ),
inference('s_sup-',[status(thm)],[zip_derived_cl460,zip_derived_cl506]) ).
thf(zip_derived_cl82,plain,
subset @ sk__16 @ sk__17,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl510,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl507,zip_derived_cl82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM411+1 : TPTP v9.2.0. Released v3.2.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.n2RNV70nWA true
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 16:49:08 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.56/0.68 % Total configuration time : 435
% 0.56/0.68 % Estimated wc time : 1092
% 0.56/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % Solved by fo/fo6_bce.sh.
% 0.57/0.81 % BCE start: 90
% 0.57/0.81 % BCE eliminated: 10
% 0.57/0.81 % PE start: 80
% 0.57/0.81 logic: eq
% 0.57/0.81 % PE eliminated: 15
% 0.57/0.81 % done 83 iterations in 0.033s
% 0.57/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.81 % SZS output start Refutation
% See solution above
% 0.57/0.81
% 0.57/0.81
% 0.57/0.81 % Terminating...
% 1.58/0.88 % Runner terminated.
% 1.58/0.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------