%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU257+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b0uB3X2gQv true
% Computer : n026.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 04:54:02 PM UTC 2025
% Result : Theorem 0.56s 0.79s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 61 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 0 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 419 ( 81 ~; 67 |; 4 &; 250 @)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 0 ^; 35 !; 0 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(well_ordering_type,type,
well_ordering: $i > $o ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(well_founded_relation_type,type,
well_founded_relation: $i > $o ).
thf(sk__type,type,
sk_: $i ).
thf(relation_restriction_type,type,
relation_restriction: $i > $i > $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(connected_type,type,
connected: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(dt_k2_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ A )
=> ( relation @ ( relation_restriction @ A @ B ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i] :
( ~ ( relation @ X0 )
| ( relation @ ( relation_restriction @ X0 @ X1 ) ) ),
inference(cnf,[status(esa)],[dt_k2_wellord1]) ).
thf(t22_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( reflexive @ B )
=> ( reflexive @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i] :
( ~ ( reflexive @ X0 )
| ( reflexive @ ( relation_restriction @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t22_wellord1]) ).
thf(t24_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( transitive @ B )
=> ( transitive @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zip_derived_cl14,plain,
! [X0: $i,X1: $i] :
( ~ ( transitive @ X0 )
| ( transitive @ ( relation_restriction @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t24_wellord1]) ).
thf(t25_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( antisymmetric @ B )
=> ( antisymmetric @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zip_derived_cl15,plain,
! [X0: $i,X1: $i] :
( ~ ( antisymmetric @ X0 )
| ( antisymmetric @ ( relation_restriction @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t25_wellord1]) ).
thf(t23_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( connected @ B )
=> ( connected @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zip_derived_cl13,plain,
! [X0: $i,X1: $i] :
( ~ ( connected @ X0 )
| ( connected @ ( relation_restriction @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t23_wellord1]) ).
thf(t31_wellord1,axiom,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( well_founded_relation @ B )
=> ( well_founded_relation @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zip_derived_cl16,plain,
! [X0: $i,X1: $i] :
( ~ ( well_founded_relation @ X0 )
| ( well_founded_relation @ ( relation_restriction @ X0 @ X1 ) )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[t31_wellord1]) ).
thf(d4_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( well_ordering @ A )
<=> ( ( reflexive @ A )
& ( transitive @ A )
& ( antisymmetric @ A )
& ( connected @ A )
& ( well_founded_relation @ A ) ) ) ) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ~ ( reflexive @ X0 )
| ~ ( transitive @ X0 )
| ~ ( antisymmetric @ X0 )
| ~ ( connected @ X0 )
| ~ ( well_founded_relation @ X0 )
| ( well_ordering @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(t32_wellord1,conjecture,
! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( well_ordering @ B )
=> ( well_ordering @ ( relation_restriction @ B @ A ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i,B: $i] :
( ( relation @ B )
=> ( ( well_ordering @ B )
=> ( well_ordering @ ( relation_restriction @ B @ A ) ) ) ),
inference('cnf.neg',[status(esa)],[t32_wellord1]) ).
thf(zip_derived_cl18,plain,
~ ( well_ordering @ ( relation_restriction @ sk__1 @ sk_ ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl111,plain,
( ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( well_founded_relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( connected @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( antisymmetric @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl1,zip_derived_cl18]) ).
thf(zip_derived_cl159,plain,
( ~ ( relation @ sk__1 )
| ~ ( well_founded_relation @ sk__1 )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( antisymmetric @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( connected @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl111]) ).
thf(zip_derived_cl17,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl112,plain,
( ~ ( relation @ sk__1 )
| ( well_founded_relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl2]) ).
thf(zip_derived_cl17_001,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl120,plain,
well_founded_relation @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl17]) ).
thf(zip_derived_cl160,plain,
( ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( antisymmetric @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( connected @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl159,zip_derived_cl17,zip_derived_cl120]) ).
thf(zip_derived_cl207,plain,
( ~ ( relation @ sk__1 )
| ~ ( connected @ sk__1 )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( antisymmetric @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl160]) ).
thf(zip_derived_cl17_002,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_003,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl113,plain,
( ~ ( relation @ sk__1 )
| ( connected @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl3]) ).
thf(zip_derived_cl17_004,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl123,plain,
connected @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl113,zip_derived_cl17]) ).
thf(zip_derived_cl208,plain,
( ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( antisymmetric @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl207,zip_derived_cl17,zip_derived_cl123]) ).
thf(zip_derived_cl211,plain,
( ~ ( relation @ sk__1 )
| ~ ( antisymmetric @ sk__1 )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl208]) ).
thf(zip_derived_cl17_005,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_006,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl114,plain,
( ~ ( relation @ sk__1 )
| ( antisymmetric @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl4]) ).
thf(zip_derived_cl17_007,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl124,plain,
antisymmetric @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl114,zip_derived_cl17]) ).
thf(zip_derived_cl212,plain,
( ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( transitive @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl211,zip_derived_cl17,zip_derived_cl124]) ).
thf(zip_derived_cl215,plain,
( ~ ( relation @ sk__1 )
| ~ ( transitive @ sk__1 )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl212]) ).
thf(zip_derived_cl17_008,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_009,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl115,plain,
( ~ ( relation @ sk__1 )
| ( transitive @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).
thf(zip_derived_cl17_010,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl125,plain,
transitive @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl115,zip_derived_cl17]) ).
thf(zip_derived_cl216,plain,
( ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) )
| ~ ( reflexive @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference(demod,[status(thm)],[zip_derived_cl215,zip_derived_cl17,zip_derived_cl125]) ).
thf(zip_derived_cl219,plain,
( ~ ( relation @ sk__1 )
| ~ ( reflexive @ sk__1 )
| ~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ) ),
inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl216]) ).
thf(zip_derived_cl17_011,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl19_012,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl6,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl116,plain,
( ~ ( relation @ sk__1 )
| ( reflexive @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl19,zip_derived_cl6]) ).
thf(zip_derived_cl17_013,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl126,plain,
reflexive @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl116,zip_derived_cl17]) ).
thf(zip_derived_cl220,plain,
~ ( relation @ ( relation_restriction @ sk__1 @ sk_ ) ),
inference(demod,[status(thm)],[zip_derived_cl219,zip_derived_cl17,zip_derived_cl126]) ).
thf(zip_derived_cl223,plain,
~ ( relation @ sk__1 ),
inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl220]) ).
thf(zip_derived_cl17_014,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl224,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl223,zip_derived_cl17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU257+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.b0uB3X2gQv true
% 0.13/0.36 % Computer : n026.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:15:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.79 % Solved by fo/fo3_bce.sh.
% 0.56/0.79 % BCE start: 20
% 0.56/0.79 % BCE eliminated: 0
% 0.56/0.79 % PE start: 20
% 0.56/0.79 logic: eq
% 0.56/0.79 % PE eliminated: 1
% 0.56/0.79 % done 33 iterations in 0.024s
% 0.56/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.79 % SZS output start Refutation
% See solution above
% 0.56/0.79
% 0.56/0.79
% 0.56/0.79 % Terminating...
% 0.56/0.85 % Runner terminated.
% 1.82/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------