TSTP Solution File: SET166-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t5Yh2jTfeA true

% Computer : n008.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 16:13:08 EDT 2023

% Result   : Unsatisfiable 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET166-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.t5Yh2jTfeA true
% 0.14/0.33  % Computer : n008.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 16:01:33 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.34  % Python version: Python 3.6.8
% 0.14/0.34  % Running in FO mode
% 0.21/0.63  % Total configuration time : 435
% 0.21/0.63  % Estimated wc time : 1092
% 0.21/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.77  % Solved by fo/fo3_bce.sh.
% 0.21/0.77  % BCE start: 30
% 0.21/0.77  % BCE eliminated: 1
% 0.21/0.77  % PE start: 29
% 0.21/0.77  logic: eq
% 0.21/0.77  % PE eliminated: 0
% 0.21/0.77  % done 43 iterations in 0.026s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% 0.21/0.77  thf(universal_class_type, type, universal_class: $i).
% 0.21/0.77  thf(union_type, type, union: $i > $i > $i).
% 0.21/0.77  thf(member_type, type, member: $i > $i > $o).
% 0.21/0.77  thf(x_type, type, x: $i).
% 0.21/0.77  thf(complement_type, type, complement: $i > $i).
% 0.21/0.77  thf(intersection_type, type, intersection: $i > $i > $i).
% 0.21/0.77  thf(subclass_type, type, subclass: $i > $i > $o).
% 0.21/0.77  thf(y_type, type, y: $i).
% 0.21/0.77  thf(z_type, type, z: $i).
% 0.21/0.77  thf(prove_members_of_union1_2, conjecture, (member @ x @ y)).
% 0.21/0.77  thf(zf_stmt_0, negated_conjecture, (~( member @ x @ y )),
% 0.21/0.77    inference('cnf.neg', [status(esa)], [prove_members_of_union1_2])).
% 0.21/0.77  thf(zip_derived_cl28, plain, (~ (member @ x @ y)),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.77  thf(complement2, axiom,
% 0.21/0.77    (( ~( member @ Z @ universal_class ) ) | 
% 0.21/0.77     ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 0.21/0.77  thf(zip_derived_cl14, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         (~ (member @ X0 @ universal_class)
% 0.21/0.77          |  (member @ X0 @ (complement @ X1))
% 0.21/0.77          |  (member @ X0 @ X1))),
% 0.21/0.77      inference('cnf', [status(esa)], [complement2])).
% 0.21/0.77  thf(intersection3, axiom,
% 0.21/0.77    (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) | 
% 0.21/0.77     ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.21/0.77  thf(zip_derived_cl12, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77         (~ (member @ X0 @ X1)
% 0.21/0.77          | ~ (member @ X0 @ X2)
% 0.21/0.77          |  (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.21/0.77      inference('cnf', [status(esa)], [intersection3])).
% 0.21/0.77  thf(prove_members_of_union1_1, conjecture,
% 0.21/0.77    (~( member @ x @ ( union @ y @ z ) ))).
% 0.21/0.77  thf(zf_stmt_1, negated_conjecture, (member @ x @ ( union @ y @ z )),
% 0.21/0.77    inference('cnf.neg', [status(esa)], [prove_members_of_union1_1])).
% 0.21/0.77  thf(zip_derived_cl29, plain, ( (member @ x @ (union @ y @ z))),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77  thf(union, axiom,
% 0.21/0.77    (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 0.21/0.77     ( union @ X @ Y ))).
% 0.21/0.77  thf(zip_derived_cl15, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 0.21/0.77           = (union @ X0 @ X1))),
% 0.21/0.77      inference('cnf', [status(esa)], [union])).
% 0.21/0.77  thf(zip_derived_cl126, plain,
% 0.21/0.77      ( (member @ x @ 
% 0.21/0.77         (complement @ (intersection @ (complement @ y) @ (complement @ z))))),
% 0.21/0.77      inference('demod', [status(thm)], [zip_derived_cl29, zip_derived_cl15])).
% 0.21/0.77  thf(complement1, axiom,
% 0.21/0.77    (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.21/0.77  thf(zip_derived_cl13, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.21/0.77      inference('cnf', [status(esa)], [complement1])).
% 0.21/0.77  thf(zip_derived_cl135, plain,
% 0.21/0.77      (~ (member @ x @ (intersection @ (complement @ y) @ (complement @ z)))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl13])).
% 0.21/0.77  thf(zip_derived_cl145, plain,
% 0.21/0.77      ((~ (member @ x @ (complement @ z)) | ~ (member @ x @ (complement @ y)))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl135])).
% 0.21/0.77  thf(zip_derived_cl14, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         (~ (member @ X0 @ universal_class)
% 0.21/0.77          |  (member @ X0 @ (complement @ X1))
% 0.21/0.77          |  (member @ X0 @ X1))),
% 0.21/0.77      inference('cnf', [status(esa)], [complement2])).
% 0.21/0.77  thf(zip_derived_cl174, plain,
% 0.21/0.77      ((~ (member @ x @ (complement @ y))
% 0.21/0.77        |  (member @ x @ z)
% 0.21/0.77        | ~ (member @ x @ universal_class))),
% 0.21/0.77      inference('sup+', [status(thm)], [zip_derived_cl145, zip_derived_cl14])).
% 0.21/0.77  thf(prove_members_of_union1_3, conjecture, (member @ x @ z)).
% 0.21/0.77  thf(zf_stmt_2, negated_conjecture, (~( member @ x @ z )),
% 0.21/0.77    inference('cnf.neg', [status(esa)], [prove_members_of_union1_3])).
% 0.21/0.77  thf(zip_derived_cl27, plain, (~ (member @ x @ z)),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.77  thf(zip_derived_cl29, plain, ( (member @ x @ (union @ y @ z))),
% 0.21/0.77      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.77  thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.21/0.77  thf(zip_derived_cl1, plain, (![X0 : $i]:  (subclass @ X0 @ universal_class)),
% 0.21/0.77      inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.21/0.77  thf(subclass_members, axiom,
% 0.21/0.77    (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.21/0.77  thf(zip_derived_cl0, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.77         (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) |  (member @ X2 @ X1))),
% 0.21/0.77      inference('cnf', [status(esa)], [subclass_members])).
% 0.21/0.77  thf(zip_derived_cl114, plain,
% 0.21/0.77      (![X0 : $i, X1 : $i]:
% 0.21/0.77         ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.21/0.77  thf(zip_derived_cl123, plain, ( (member @ x @ universal_class)),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl114])).
% 0.21/0.77  thf(zip_derived_cl175, plain, (~ (member @ x @ (complement @ y))),
% 0.21/0.77      inference('demod', [status(thm)],
% 0.21/0.77                [zip_derived_cl174, zip_derived_cl27, zip_derived_cl123])).
% 0.21/0.77  thf(zip_derived_cl178, plain,
% 0.21/0.77      (( (member @ x @ y) | ~ (member @ x @ universal_class))),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl175])).
% 0.21/0.77  thf(zip_derived_cl123, plain, ( (member @ x @ universal_class)),
% 0.21/0.77      inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl114])).
% 0.21/0.77  thf(zip_derived_cl179, plain, ( (member @ x @ y)),
% 0.21/0.77      inference('demod', [status(thm)], [zip_derived_cl178, zip_derived_cl123])).
% 0.21/0.77  thf(zip_derived_cl181, plain, ($false),
% 0.21/0.77      inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl179])).
% 0.21/0.77  
% 0.21/0.77  % SZS output end Refutation
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 1.23/0.84  % Runner terminated.
% 1.23/0.85  % Zipperpin 1.5 exiting
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