%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM395+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.OwkLOXM5Kf true
% Computer : n017.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 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 1 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 8 ~; 4 |; 2 &; 17 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(empty_set_type,type,
empty_set: $i ).
thf(l18_ordinal1,axiom,
( ( epsilon_connected @ empty_set )
& ( epsilon_transitive @ empty_set ) ) ).
thf(zip_derived_cl51,plain,
epsilon_transitive @ empty_set,
inference(cnf,[status(esa)],[l18_ordinal1]) ).
thf(cc2_ordinal1,axiom,
! [A: $i] :
( ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) )
=> ( ordinal @ A ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i] :
( ( ordinal @ X0 )
| ~ ( epsilon_connected @ X0 )
| ~ ( epsilon_transitive @ X0 ) ),
inference(cnf,[status(esa)],[cc2_ordinal1]) ).
thf(zip_derived_cl198,plain,
( ~ ( epsilon_connected @ empty_set )
| ( ordinal @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl51,zip_derived_cl13]) ).
thf(t27_ordinal1,conjecture,
ordinal @ empty_set ).
thf(zf_stmt_0,negated_conjecture,
~ ( ordinal @ empty_set ),
inference('cnf.neg',[status(esa)],[t27_ordinal1]) ).
thf(zip_derived_cl46,plain,
~ ( ordinal @ empty_set ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl218,plain,
( ( empty_set != empty_set )
| ~ ( epsilon_connected @ empty_set ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl198,zip_derived_cl46]) ).
thf(zip_derived_cl273,plain,
~ ( epsilon_connected @ empty_set ),
inference(simplify,[status(thm)],[zip_derived_cl218]) ).
thf(zip_derived_cl50,plain,
epsilon_connected @ empty_set,
inference(cnf,[status(esa)],[l18_ordinal1]) ).
thf(zip_derived_cl277,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl273,zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM395+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OwkLOXM5Kf true
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 16:32:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.44/0.63 % Total configuration time : 435
% 0.44/0.63 % Estimated wc time : 1092
% 0.44/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.74 % Solved by fo/fo6_bce.sh.
% 0.54/0.74 % BCE start: 52
% 0.54/0.74 % BCE eliminated: 6
% 0.54/0.74 % PE start: 46
% 0.54/0.74 logic: eq
% 0.54/0.74 % PE eliminated: 5
% 0.54/0.74 % done 16 iterations in 0.018s
% 0.54/0.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.54/0.74 % SZS output start Refutation
% See solution above
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 % Terminating...
% 0.64/0.84 % Runner terminated.
% 1.61/0.85 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------