TSTP Solution File: SET053-6 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET053-6 : 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.W5EOE9oIIK 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 16:12:10 EDT 2023

% Result   : Unsatisfiable 0.17s 0.79s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SET053-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W5EOE9oIIK true
% 0.13/0.32  % Computer : n001.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 300
% 0.13/0.32  % DateTime : Sat Aug 26 09:29:45 EDT 2023
% 0.13/0.32  % CPUTime  : 
% 0.13/0.32  % Running portfolio for 300 s
% 0.13/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.32  % Number of cores: 8
% 0.17/0.32  % Python version: Python 3.6.8
% 0.17/0.33  % Running in FO mode
% 0.17/0.59  % Total configuration time : 435
% 0.17/0.59  % Estimated wc time : 1092
% 0.17/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.17/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.17/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.17/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.17/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.17/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.17/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.17/0.79  % Solved by fo/fo3_bce.sh.
% 0.17/0.79  % BCE start: 49
% 0.17/0.79  % BCE eliminated: 4
% 0.17/0.79  % PE start: 45
% 0.17/0.79  logic: eq
% 0.17/0.79  % PE eliminated: 11
% 0.17/0.79  % done 43 iterations in 0.038s
% 0.17/0.79  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.17/0.79  % SZS output start Refutation
% 0.17/0.79  thf(universal_class_type, type, universal_class: $i).
% 0.17/0.79  thf(member_type, type, member: $i > $i > $o).
% 0.17/0.79  thf(u_type, type, u: $i).
% 0.17/0.79  thf(x_type, type, x: $i).
% 0.17/0.79  thf(v_type, type, v: $i).
% 0.17/0.79  thf(y_type, type, y: $i).
% 0.17/0.79  thf(subclass_type, type, subclass: $i > $i > $o).
% 0.17/0.79  thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.17/0.79  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.17/0.79  thf(prove_corollary_2_to_cartesian_product_2, conjecture,
% 0.17/0.79    (member @ v @ universal_class)).
% 0.17/0.79  thf(zf_stmt_0, negated_conjecture, (~( member @ v @ universal_class )),
% 0.17/0.79    inference('cnf.neg', [status(esa)],
% 0.17/0.79              [prove_corollary_2_to_cartesian_product_2])).
% 0.17/0.79  thf(zip_derived_cl47, plain, (~ (member @ v @ universal_class)),
% 0.17/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.17/0.79  thf(cartesian_product2, axiom,
% 0.17/0.79    (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) | 
% 0.17/0.79     ( member @ V @ Y ))).
% 0.17/0.79  thf(zip_derived_cl12, plain,
% 0.17/0.79      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.17/0.79         (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.17/0.79          |  (member @ X1 @ X3))),
% 0.17/0.79      inference('cnf', [status(esa)], [cartesian_product2])).
% 0.17/0.79  thf(prove_corollary_2_to_cartesian_product_1, conjecture,
% 0.17/0.79    (~( member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y ) ))).
% 0.17/0.79  thf(zf_stmt_1, negated_conjecture,
% 0.17/0.79    (member @ ( ordered_pair @ u @ v ) @ ( cross_product @ x @ y )),
% 0.17/0.79    inference('cnf.neg', [status(esa)],
% 0.17/0.79              [prove_corollary_2_to_cartesian_product_1])).
% 0.17/0.79  thf(zip_derived_cl48, plain,
% 0.17/0.79      ( (member @ (ordered_pair @ u @ v) @ (cross_product @ x @ y))),
% 0.17/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.17/0.79  thf(zip_derived_cl253, plain, ( (member @ v @ y)),
% 0.17/0.79      inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl48])).
% 0.17/0.79  thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.17/0.79  thf(zip_derived_cl1, plain, (![X0 : $i]:  (subclass @ X0 @ universal_class)),
% 0.17/0.79      inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.17/0.79  thf(subclass_members, axiom,
% 0.17/0.79    (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.17/0.79  thf(zip_derived_cl0, plain,
% 0.17/0.79      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.17/0.79         (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) |  (member @ X2 @ X1))),
% 0.17/0.79      inference('cnf', [status(esa)], [subclass_members])).
% 0.17/0.79  thf(zip_derived_cl209, plain,
% 0.17/0.79      (![X0 : $i, X1 : $i]:
% 0.17/0.79         ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.17/0.79      inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.17/0.79  thf(zip_derived_cl256, plain, ( (member @ v @ universal_class)),
% 0.17/0.79      inference('sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl209])).
% 0.17/0.79  thf(zip_derived_cl257, plain, ($false),
% 0.17/0.79      inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl256])).
% 0.17/0.79  
% 0.17/0.79  % SZS output end Refutation
% 0.17/0.79  
% 0.17/0.79  
% 0.17/0.79  % Terminating...
% 1.87/0.90  % Runner terminated.
% 1.87/0.92  % Zipperpin 1.5 exiting
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