%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU261+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.z50swxw2I6 true
% Computer : n006.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 0.51s 0.75s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 79 ( 48 unt; 0 typ; 0 def)
% Number of atoms : 212 ( 0 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 474 ( 104 ~; 101 |; 13 &; 237 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(transitive_type,type,
transitive: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(connected_type,type,
connected: $i > $o ).
thf(well_ordering_type,type,
well_ordering: $i > $o ).
thf(sk__2_type,type,
sk__2: $i ).
thf(sk__1_type,type,
sk__1: $i ).
thf(well_founded_relation_type,type,
well_founded_relation: $i > $o ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(relation_isomorphism_type,type,
relation_isomorphism: $i > $i > $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(sk__3_type,type,
sk__3: $i ).
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_cl0,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(t54_wellord1,conjecture,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( well_ordering @ A )
& ( relation_isomorphism @ A @ B @ C ) )
=> ( well_ordering @ B ) ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
~ ! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( ( well_ordering @ A )
& ( relation_isomorphism @ A @ B @ C ) )
=> ( well_ordering @ B ) ) ) ) ),
inference('cnf.neg',[status(esa)],[t54_wellord1]) ).
thf(zip_derived_cl17,plain,
~ ( well_ordering @ sk__2 ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
( ~ ( relation @ sk__2 )
| ~ ( well_founded_relation @ sk__2 )
| ~ ( connected @ sk__2 )
| ~ ( antisymmetric @ sk__2 )
| ~ ( transitive @ sk__2 )
| ~ ( reflexive @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl0,zip_derived_cl17]) ).
thf(zip_derived_cl19,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl15,plain,
function @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16,plain,
relation_isomorphism @ sk__1 @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(t53_wellord1,axiom,
! [A: $i] :
( ( relation @ A )
=> ! [B: $i] :
( ( relation @ B )
=> ! [C: $i] :
( ( ( relation @ C )
& ( function @ C ) )
=> ( ( relation_isomorphism @ A @ B @ C )
=> ( ( ( reflexive @ A )
=> ( reflexive @ B ) )
& ( ( transitive @ A )
=> ( transitive @ B ) )
& ( ( connected @ A )
=> ( connected @ B ) )
& ( ( antisymmetric @ A )
=> ( antisymmetric @ B ) )
& ( ( well_founded_relation @ A )
=> ( well_founded_relation @ B ) ) ) ) ) ) ) ).
thf(zip_derived_cl8,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( well_founded_relation @ X1 )
| ( well_founded_relation @ X0 )
| ~ ( relation_isomorphism @ X1 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t53_wellord1]) ).
thf(zip_derived_cl20,plain,
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__3 )
| ~ ( function @ sk__3 )
| ( well_founded_relation @ sk__2 )
| ~ ( well_founded_relation @ sk__1 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl8]) ).
thf(zip_derived_cl25,plain,
( ~ ( relation @ sk__2 )
| ~ ( well_founded_relation @ sk__1 )
| ( well_founded_relation @ sk__2 )
| ~ ( relation @ sk__3 )
| ~ ( relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl20]) ).
thf(zip_derived_cl19_001,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl1,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( well_founded_relation @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl36,plain,
( ~ ( relation @ sk__1 )
| ( well_founded_relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl1]) ).
thf(zip_derived_cl13,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl41,plain,
well_founded_relation @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl13]) ).
thf(zip_derived_cl14,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_002,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl45,plain,
well_founded_relation @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl19,zip_derived_cl41,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl15_003,plain,
function @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_004,plain,
relation_isomorphism @ sk__1 @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl10,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( connected @ X1 )
| ( connected @ X0 )
| ~ ( relation_isomorphism @ X1 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t53_wellord1]) ).
thf(zip_derived_cl22,plain,
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__3 )
| ~ ( function @ sk__3 )
| ( connected @ sk__2 )
| ~ ( connected @ sk__1 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl10]) ).
thf(zip_derived_cl27,plain,
( ~ ( relation @ sk__2 )
| ~ ( connected @ sk__1 )
| ( connected @ sk__2 )
| ~ ( relation @ sk__3 )
| ~ ( relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl22]) ).
thf(zip_derived_cl19_005,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_006,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl37,plain,
( ~ ( relation @ sk__1 )
| ( connected @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl2]) ).
thf(zip_derived_cl13_007,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl42,plain,
connected @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl37,zip_derived_cl13]) ).
thf(zip_derived_cl14_008,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_009,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl48,plain,
connected @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl27,zip_derived_cl19,zip_derived_cl42,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl15_010,plain,
function @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_011,plain,
relation_isomorphism @ sk__1 @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl9,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( antisymmetric @ X1 )
| ( antisymmetric @ X0 )
| ~ ( relation_isomorphism @ X1 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t53_wellord1]) ).
thf(zip_derived_cl21,plain,
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__3 )
| ~ ( function @ sk__3 )
| ( antisymmetric @ sk__2 )
| ~ ( antisymmetric @ sk__1 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl9]) ).
thf(zip_derived_cl26,plain,
( ~ ( relation @ sk__2 )
| ~ ( antisymmetric @ sk__1 )
| ( antisymmetric @ sk__2 )
| ~ ( relation @ sk__3 )
| ~ ( relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl21]) ).
thf(zip_derived_cl19_012,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_013,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl38,plain,
( ~ ( relation @ sk__1 )
| ( antisymmetric @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl3]) ).
thf(zip_derived_cl13_014,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl43,plain,
antisymmetric @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl13]) ).
thf(zip_derived_cl14_015,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_016,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
antisymmetric @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl26,zip_derived_cl19,zip_derived_cl43,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl15_017,plain,
function @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_018,plain,
relation_isomorphism @ sk__1 @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl11,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( transitive @ X1 )
| ( transitive @ X0 )
| ~ ( relation_isomorphism @ X1 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t53_wellord1]) ).
thf(zip_derived_cl23,plain,
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__3 )
| ~ ( function @ sk__3 )
| ( transitive @ sk__2 )
| ~ ( transitive @ sk__1 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl11]) ).
thf(zip_derived_cl28,plain,
( ~ ( relation @ sk__2 )
| ~ ( transitive @ sk__1 )
| ( transitive @ sk__2 )
| ~ ( relation @ sk__3 )
| ~ ( relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl23]) ).
thf(zip_derived_cl19_019,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_020,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl39,plain,
( ~ ( relation @ sk__1 )
| ( transitive @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl4]) ).
thf(zip_derived_cl13_021,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl44,plain,
transitive @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl13]) ).
thf(zip_derived_cl14_022,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_023,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl49,plain,
transitive @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl28,zip_derived_cl19,zip_derived_cl44,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl15_024,plain,
function @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl16_025,plain,
relation_isomorphism @ sk__1 @ sk__2 @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl12,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( relation @ X0 )
| ~ ( reflexive @ X1 )
| ( reflexive @ X0 )
| ~ ( relation_isomorphism @ X1 @ X0 @ X2 )
| ~ ( function @ X2 )
| ~ ( relation @ X2 )
| ~ ( relation @ X1 ) ),
inference(cnf,[status(esa)],[t53_wellord1]) ).
thf(zip_derived_cl24,plain,
( ~ ( relation @ sk__1 )
| ~ ( relation @ sk__3 )
| ~ ( function @ sk__3 )
| ( reflexive @ sk__2 )
| ~ ( reflexive @ sk__1 )
| ~ ( relation @ sk__2 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl16,zip_derived_cl12]) ).
thf(zip_derived_cl29,plain,
( ~ ( relation @ sk__2 )
| ~ ( reflexive @ sk__1 )
| ( reflexive @ sk__2 )
| ~ ( relation @ sk__3 )
| ~ ( relation @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl15,zip_derived_cl24]) ).
thf(zip_derived_cl19_026,plain,
relation @ sk__2,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl18_027,plain,
well_ordering @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( reflexive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl40,plain,
( ~ ( relation @ sk__1 )
| ( reflexive @ sk__1 ) ),
inference('dp-resolution',[status(thm)],[zip_derived_cl18,zip_derived_cl5]) ).
thf(zip_derived_cl13_028,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl46,plain,
reflexive @ sk__1,
inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl13]) ).
thf(zip_derived_cl14_029,plain,
relation @ sk__3,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl13_030,plain,
relation @ sk__1,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
reflexive @ sk__2,
inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl19,zip_derived_cl46,zip_derived_cl14,zip_derived_cl13]) ).
thf(zip_derived_cl51,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl19,zip_derived_cl45,zip_derived_cl48,zip_derived_cl47,zip_derived_cl49,zip_derived_cl50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEU261+1 : TPTP v9.2.0. Released v3.3.0.
% 0.09/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z50swxw2I6 true
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 16:06:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.43/0.61 % Total configuration time : 435
% 0.43/0.61 % Estimated wc time : 1092
% 0.43/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.75 % Solved by fo/fo6_bce.sh.
% 0.51/0.75 % BCE start: 20
% 0.51/0.75 % BCE eliminated: 0
% 0.51/0.75 % PE start: 20
% 0.51/0.75 logic: neq
% 0.51/0.75 % PE eliminated: 5
% 0.51/0.75 % done 14 iterations in 0.016s
% 0.51/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.51/0.75 % SZS output start Refutation
% See solution above
% 0.51/0.75
% 0.51/0.75
% 0.51/0.75 % Terminating...
% 0.58/0.82 % Runner terminated.
% 1.82/0.84 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------