TSTP Solution File: SEU261+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3D6aNZKxXv true
% Computer : n001.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 Aug 31 19:11:40 EDT 2023
% Result : Theorem 0.23s 0.85s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 88 ( 44 unt; 12 typ; 0 def)
% Number of atoms : 200 ( 0 equ; 0 cnn)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 448 ( 99 ~; 92 |; 13 &; 225 @)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 31 ( 0 ^; 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(function_type,type,
function: $i > $o ).
thf(relation_isomorphism_type,type,
relation_isomorphism: $i > $i > $i > $o ).
thf(connected_type,type,
connected: $i > $o ).
thf(antisymmetric_type,type,
antisymmetric: $i > $o ).
thf(transitive_type,type,
transitive: $i > $o ).
thf(well_ordering_type,type,
well_ordering: $i > $o ).
thf(sk__4_type,type,
sk__4: $i ).
thf(well_founded_relation_type,type,
well_founded_relation: $i > $o ).
thf(sk__5_type,type,
sk__5: $i ).
thf(reflexive_type,type,
reflexive: $i > $o ).
thf(relation_type,type,
relation: $i > $o ).
thf(sk__6_type,type,
sk__6: $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_cl6,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( reflexive @ 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_cl34,plain,
relation_isomorphism @ sk__4 @ sk__5 @ sk__6,
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_cl30,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_cl82,plain,
( ~ ( relation @ sk__4 )
| ~ ( relation @ sk__6 )
| ~ ( function @ sk__6 )
| ( reflexive @ sk__5 )
| ~ ( reflexive @ sk__4 )
| ~ ( relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl30]) ).
thf(zip_derived_cl31,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33,plain,
function @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
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(zip_derived_cl4,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( antisymmetric @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl34_001,plain,
relation_isomorphism @ sk__4 @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl27,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_cl52,plain,
( ~ ( relation @ sk__4 )
| ~ ( relation @ sk__6 )
| ~ ( function @ sk__6 )
| ( antisymmetric @ sk__5 )
| ~ ( antisymmetric @ sk__4 )
| ~ ( relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl27]) ).
thf(zip_derived_cl31_002,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_003,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_004,plain,
function @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl53,plain,
( ( antisymmetric @ sk__5 )
| ~ ( antisymmetric @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl52,zip_derived_cl31,zip_derived_cl32,zip_derived_cl33,zip_derived_cl37]) ).
thf(zip_derived_cl55,plain,
( ~ ( relation @ sk__4 )
| ~ ( well_ordering @ sk__4 )
| ( antisymmetric @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl53]) ).
thf(zip_derived_cl31_005,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36,plain,
well_ordering @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl56,plain,
antisymmetric @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl31,zip_derived_cl36]) ).
thf(zip_derived_cl59,plain,
( ~ ( relation @ sk__5 )
| ( well_ordering @ sk__5 )
| ~ ( well_founded_relation @ sk__5 )
| ~ ( connected @ sk__5 )
| ~ ( transitive @ sk__5 )
| ~ ( reflexive @ sk__5 ) ),
inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl56]) ).
thf(zip_derived_cl37_006,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl35,plain,
~ ( well_ordering @ sk__5 ),
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_cl34_007,plain,
relation_isomorphism @ sk__4 @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl26,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_cl46,plain,
( ~ ( relation @ sk__4 )
| ~ ( relation @ sk__6 )
| ~ ( function @ sk__6 )
| ( well_founded_relation @ sk__5 )
| ~ ( well_founded_relation @ sk__4 )
| ~ ( relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl26]) ).
thf(zip_derived_cl31_008,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_009,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_010,plain,
function @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_011,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl47,plain,
( ( well_founded_relation @ sk__5 )
| ~ ( well_founded_relation @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl31,zip_derived_cl32,zip_derived_cl33,zip_derived_cl37]) ).
thf(zip_derived_cl49,plain,
( ~ ( relation @ sk__4 )
| ~ ( well_ordering @ sk__4 )
| ( well_founded_relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl47]) ).
thf(zip_derived_cl31_012,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_013,plain,
well_ordering @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl50,plain,
well_founded_relation @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl49,zip_derived_cl31,zip_derived_cl36]) ).
thf(zip_derived_cl60,plain,
( ~ ( connected @ sk__5 )
| ~ ( transitive @ sk__5 )
| ~ ( reflexive @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl59,zip_derived_cl37,zip_derived_cl35,zip_derived_cl50]) ).
thf(zip_derived_cl3,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( connected @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl34_014,plain,
relation_isomorphism @ sk__4 @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl28,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_cl64,plain,
( ~ ( relation @ sk__4 )
| ~ ( relation @ sk__6 )
| ~ ( function @ sk__6 )
| ( connected @ sk__5 )
| ~ ( connected @ sk__4 )
| ~ ( relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl28]) ).
thf(zip_derived_cl31_015,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_016,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_017,plain,
function @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_018,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl65,plain,
( ( connected @ sk__5 )
| ~ ( connected @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl64,zip_derived_cl31,zip_derived_cl32,zip_derived_cl33,zip_derived_cl37]) ).
thf(zip_derived_cl67,plain,
( ~ ( relation @ sk__4 )
| ~ ( well_ordering @ sk__4 )
| ( connected @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl65]) ).
thf(zip_derived_cl31_019,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_020,plain,
well_ordering @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl68,plain,
connected @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl67,zip_derived_cl31,zip_derived_cl36]) ).
thf(zip_derived_cl70,plain,
( ~ ( transitive @ sk__5 )
| ~ ( reflexive @ sk__5 ) ),
inference(demod,[status(thm)],[zip_derived_cl60,zip_derived_cl68]) ).
thf(zip_derived_cl5,plain,
! [X0: $i] :
( ~ ( well_ordering @ X0 )
| ( transitive @ X0 )
| ~ ( relation @ X0 ) ),
inference(cnf,[status(esa)],[d4_wellord1]) ).
thf(zip_derived_cl34_021,plain,
relation_isomorphism @ sk__4 @ sk__5 @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl29,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_cl73,plain,
( ~ ( relation @ sk__4 )
| ~ ( relation @ sk__6 )
| ~ ( function @ sk__6 )
| ( transitive @ sk__5 )
| ~ ( transitive @ sk__4 )
| ~ ( relation @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl34,zip_derived_cl29]) ).
thf(zip_derived_cl31_022,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl32_023,plain,
relation @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl33_024,plain,
function @ sk__6,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl37_025,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl74,plain,
( ( transitive @ sk__5 )
| ~ ( transitive @ sk__4 ) ),
inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl31,zip_derived_cl32,zip_derived_cl33,zip_derived_cl37]) ).
thf(zip_derived_cl76,plain,
( ~ ( relation @ sk__4 )
| ~ ( well_ordering @ sk__4 )
| ( transitive @ sk__5 ) ),
inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl74]) ).
thf(zip_derived_cl31_026,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_027,plain,
well_ordering @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl77,plain,
transitive @ sk__5,
inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl31,zip_derived_cl36]) ).
thf(zip_derived_cl79,plain,
~ ( reflexive @ sk__5 ),
inference(demod,[status(thm)],[zip_derived_cl70,zip_derived_cl77]) ).
thf(zip_derived_cl37_028,plain,
relation @ sk__5,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl83,plain,
~ ( reflexive @ sk__4 ),
inference(demod,[status(thm)],[zip_derived_cl82,zip_derived_cl31,zip_derived_cl32,zip_derived_cl33,zip_derived_cl79,zip_derived_cl37]) ).
thf(zip_derived_cl84,plain,
( ~ ( relation @ sk__4 )
| ~ ( well_ordering @ sk__4 ) ),
inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl83]) ).
thf(zip_derived_cl31_029,plain,
relation @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl36_030,plain,
well_ordering @ sk__4,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl85,plain,
$false,
inference(demod,[status(thm)],[zip_derived_cl84,zip_derived_cl31,zip_derived_cl36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU261+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3D6aNZKxXv true
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 23 17:28:24 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.66 % Total configuration time : 435
% 0.23/0.66 % Estimated wc time : 1092
% 0.23/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.85 % Solved by fo/fo4.sh.
% 0.23/0.85 % done 49 iterations in 0.029s
% 0.23/0.85 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.23/0.85 % SZS output start Refutation
% See solution above
% 0.23/0.85
% 0.23/0.85
% 0.23/0.85 % Terminating...
% 1.47/0.97 % Runner terminated.
% 1.47/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------