%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM390+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v0PgFGemX4 true
% Computer : n013.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 04:46:52 PM UTC 2025
% Result : Theorem 0.19s 1.05s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 75 ( 5 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 178 ( 23 ~; 20 |; 6 &; 113 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 0 ^; 33 !; 0 ?; 33 :)
% Comments :
%------------------------------------------------------------------------------
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(proper_subset_type,type,
proper_subset: $i > $i > $o ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(sk__14_type,type,
sk__14: $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(t22_ordinal1,conjecture,
! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( ( ( subset @ A @ B )
& ( in @ B @ C ) )
=> ( in @ A @ C ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( ordinal @ C )
=> ( ( ( subset @ A @ B )
& ( in @ B @ C ) )
=> ( in @ A @ C ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t22_ordinal1]) ).
thf(zip_derived_cl56,plain,
in @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_ordinal1,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( subset @ B @ A ) ) ).
thf(zip_derived_cl66,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( subset @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[t7_ordinal1]) ).
thf(zip_derived_cl312,plain,
~ ( subset @ sk__15 @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl66]) ).
thf(zip_derived_cl56_001,plain,
in @ sk__14 @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(zip_derived_cl310,plain,
( ( subset @ sk__14 @ sk__15 )
| ~ ( epsilon_transitive @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl10]) ).
thf(zip_derived_cl54,plain,
ordinal @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl276,plain,
epsilon_transitive @ sk__15,
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl3]) ).
thf(zip_derived_cl313,plain,
subset @ sk__14 @ sk__15,
inference(demod,[status(thm)],[zip_derived_cl310,zip_derived_cl276]) ).
thf(zip_derived_cl57,plain,
subset @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t1_xboole_1,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( subset @ A @ B )
& ( subset @ B @ C ) )
=> ( subset @ A @ C ) ) ).
thf(zip_derived_cl51,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_cl317,plain,
! [X0: $i] :
( ~ ( subset @ sk__14 @ X0 )
| ( subset @ sk__13 @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl51]) ).
thf(zip_derived_cl322,plain,
subset @ sk__13 @ sk__15,
inference('s_sup-',[status(thm)],[zip_derived_cl313,zip_derived_cl317]) ).
thf(d8_xboole_0,axiom,
! [A: $i,B: $i] :
( ( proper_subset @ A @ B )
<=> ( ( subset @ A @ B )
& ( A != B ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ( proper_subset @ X0 @ X1 )
| ( X0 = X1 )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[d8_xboole_0]) ).
thf(zip_derived_cl54_002,plain,
ordinal @ sk__15,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t21_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ( ( proper_subset @ A @ B )
=> ( in @ A @ B ) ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( ordinal @ X0 )
| ( in @ X1 @ X0 )
| ~ ( proper_subset @ X1 @ X0 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[t21_ordinal1]) ).
thf(zip_derived_cl277,plain,
! [X0: $i] :
( ~ ( epsilon_transitive @ X0 )
| ~ ( proper_subset @ X0 @ sk__15 )
| ( in @ X0 @ sk__15 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl54,zip_derived_cl52]) ).
thf(zip_derived_cl383,plain,
! [X0: $i] :
( ~ ( subset @ X0 @ sk__15 )
| ( X0 = sk__15 )
| ~ ( epsilon_transitive @ X0 )
| ( in @ X0 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl277]) ).
thf(zip_derived_cl395,plain,
( ( sk__13 = sk__15 )
| ~ ( epsilon_transitive @ sk__13 )
| ( in @ sk__13 @ sk__15 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl383]) ).
thf(zip_derived_cl53,plain,
epsilon_transitive @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl55,plain,
~ ( in @ sk__13 @ sk__15 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl398,plain,
sk__13 = sk__15,
inference(demod,[status(thm)],[zip_derived_cl395,zip_derived_cl53,zip_derived_cl55]) ).
thf(zip_derived_cl57_003,plain,
subset @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl406,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl312,zip_derived_cl398,zip_derived_cl57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.26 % Problem : NUM390+1 : TPTP v9.2.0. Released v3.2.0.
% 0.10/0.28 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v0PgFGemX4 true
% 0.12/0.53 % Computer : n013.cluster.edu
% 0.12/0.53 % Model : x86_64 x86_64
% 0.12/0.53 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.53 % Memory : 8042.1875MB
% 0.12/0.53 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.53 % CPULimit : 300
% 0.12/0.53 % WCLimit : 300
% 0.12/0.53 % DateTime : Wed Oct 1 16:48:38 EDT 2025
% 0.19/0.54 % CPUTime :
% 0.19/0.54 % Running portfolio for 300 s
% 0.19/0.54 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % Number of cores: 8
% 0.19/0.54 % Python version: Python 3.6.8
% 0.19/0.55 % Running in FO mode
% 0.19/0.81 % Total configuration time : 435
% 0.19/0.81 % Estimated wc time : 1092
% 0.19/0.81 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.95 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.96 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.96 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.96 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.98 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.98 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.98 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.19/1.05 % Solved by fo/fo6_bce.sh.
% 0.19/1.05 % BCE start: 68
% 0.19/1.05 % BCE eliminated: 8
% 0.19/1.05 % PE start: 60
% 0.19/1.05 logic: eq
% 0.19/1.05 % PE eliminated: 1
% 0.19/1.05 % done 103 iterations in 0.040s
% 0.19/1.05 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.19/1.05 % SZS output start Refutation
% See solution above
% 0.19/1.05
% 0.19/1.05
% 0.19/1.05 % Terminating...
% 1.34/1.19 % Runner terminated.
% 1.34/1.20 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------