%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM388+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.BAnR1SU4dL true
% Computer : n011.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 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 67 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 176 ( 22 ~; 19 |; 5 &; 116 @)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 38 ( 0 ^; 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
thf(epsilon_transitive_type,type,
epsilon_transitive: $i > $o ).
thf(element_type,type,
element: $i > $i > $o ).
thf(powerset_type,type,
powerset: $i > $i ).
thf(subset_type,type,
subset: $i > $i > $o ).
thf(sk__13_type,type,
sk__13: $i ).
thf(sk__14_type,type,
sk__14: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(sk__15_type,type,
sk__15: $i ).
thf(epsilon_connected_type,type,
epsilon_connected: $i > $o ).
thf(ordinal_type,type,
ordinal: $i > $o ).
thf(empty_type,type,
empty: $i > $o ).
thf(t19_ordinal1,conjecture,
! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( epsilon_transitive @ C )
=> ( ( ( in @ C @ A )
& ( in @ A @ B ) )
=> ( in @ C @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( ordinal @ A )
=> ! [B: $i] :
( ( ordinal @ B )
=> ! [C: $i] :
( ( epsilon_transitive @ C )
=> ( ( ( in @ C @ A )
& ( in @ A @ B ) )
=> ( in @ C @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t19_ordinal1]) ).
thf(zip_derived_cl49,plain,
in @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
ordinal @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(cc1_ordinal1,axiom,
! [A: $i] :
( ( ordinal @ A )
=> ( ( epsilon_transitive @ A )
& ( epsilon_connected @ A ) ) ) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ( epsilon_transitive @ X0 )
| ~ ( ordinal @ X0 ) ),
inference(cnf,[status(esa)],[cc1_ordinal1]) ).
thf(zip_derived_cl235,plain,
epsilon_transitive @ sk__14,
inference('dp-resolution',[status(thm)],[zip_derived_cl50,zip_derived_cl2]) ).
thf(d2_ordinal1,axiom,
! [A: $i] :
( ( epsilon_transitive @ A )
<=> ! [B: $i] :
( ( in @ B @ A )
=> ( subset @ B @ A ) ) ) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ( subset @ X0 @ X1 )
| ~ ( epsilon_transitive @ X1 ) ),
inference(cnf,[status(esa)],[d2_ordinal1]) ).
thf(t3_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ ( powerset @ B ) )
<=> ( subset @ A @ B ) ) ).
thf(zip_derived_cl54,plain,
! [X0: $i,X1: $i] :
( ( element @ X0 @ ( powerset @ X1 ) )
| ~ ( subset @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t3_subset]) ).
thf(zip_derived_cl238,plain,
! [X0: $i,X1: $i] :
( ~ ( epsilon_transitive @ X0 )
| ~ ( in @ X1 @ X0 )
| ( element @ X1 @ ( powerset @ X0 ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl9,zip_derived_cl54]) ).
thf(zip_derived_cl250,plain,
! [X0: $i] :
( ( element @ X0 @ ( powerset @ sk__14 ) )
| ~ ( in @ X0 @ sk__14 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl235,zip_derived_cl238]) ).
thf(t4_subset,axiom,
! [A: $i,B: $i,C: $i] :
( ( ( in @ A @ B )
& ( element @ B @ ( powerset @ C ) ) )
=> ( element @ A @ C ) ) ).
thf(zip_derived_cl55,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( element @ X1 @ ( powerset @ X2 ) )
| ( element @ X0 @ X2 ) ),
inference(cnf,[status(esa)],[t4_subset]) ).
thf(zip_derived_cl343,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ sk__14 )
| ~ ( in @ X1 @ X0 )
| ( element @ X1 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl55]) ).
thf(zip_derived_cl351,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( element @ X0 @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl343]) ).
thf(t2_subset,axiom,
! [A: $i,B: $i] :
( ( element @ A @ B )
=> ( ( empty @ B )
| ( in @ A @ B ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ( in @ X0 @ X1 )
| ( empty @ X1 )
| ~ ( element @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[t2_subset]) ).
thf(zip_derived_cl377,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( in @ X0 @ sk__14 )
| ( empty @ sk__14 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl52]) ).
thf(zip_derived_cl49_001,plain,
in @ sk__13 @ sk__14,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t7_boole,axiom,
! [A: $i,B: $i] :
~ ( ( in @ A @ B )
& ( empty @ B ) ) ).
thf(zip_derived_cl58,plain,
! [X0: $i,X1: $i] :
( ~ ( in @ X0 @ X1 )
| ~ ( empty @ X1 ) ),
inference(cnf,[status(esa)],[t7_boole]) ).
thf(zip_derived_cl272,plain,
~ ( empty @ sk__14 ),
inference('s_sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl58]) ).
thf(zip_derived_cl378,plain,
! [X0: $i] :
( ~ ( in @ X0 @ sk__13 )
| ( in @ X0 @ sk__14 ) ),
inference(demod,[status(thm)],[zip_derived_cl377,zip_derived_cl272]) ).
thf(zip_derived_cl47,plain,
~ ( in @ sk__15 @ sk__14 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl384,plain,
~ ( in @ sk__15 @ sk__13 ),
inference('s_sup-',[status(thm)],[zip_derived_cl378,zip_derived_cl47]) ).
thf(zip_derived_cl48,plain,
in @ sk__15 @ sk__13,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl386,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl384,zip_derived_cl48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM388+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.BAnR1SU4dL true
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Oct 1 16:31:08 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
% 0.12/0.35 % Running in FO mode
% 0.52/0.63 % Total configuration time : 435
% 0.52/0.63 % Estimated wc time : 1092
% 0.52/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.75 % Solved by fo/fo6_bce.sh.
% 0.53/0.75 % BCE start: 60
% 0.53/0.75 % BCE eliminated: 6
% 0.53/0.75 % PE start: 54
% 0.53/0.75 logic: eq
% 0.53/0.75 % PE eliminated: 6
% 0.53/0.75 % done 86 iterations in 0.038s
% 0.53/0.75 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.75 % SZS output start Refutation
% See solution above
% 0.53/0.75
% 0.53/0.75
% 0.53/0.75 % Terminating...
% 0.58/0.84 % Runner terminated.
% 1.56/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------