TSTP Solution File: SET104-7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET104-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M9IoaTNDfu true

% Computer : n016.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 16:12:47 EDT 2023

% Result   : Unsatisfiable 0.21s 0.80s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET104-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.M9IoaTNDfu true
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 09:08:56 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.64  % Total configuration time : 435
% 0.21/0.64  % Estimated wc time : 1092
% 0.21/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.80  % Solved by fo/fo3_bce.sh.
% 0.21/0.80  % BCE start: 72
% 0.21/0.80  % BCE eliminated: 1
% 0.21/0.80  % PE start: 71
% 0.21/0.80  logic: eq
% 0.21/0.80  % PE eliminated: 0
% 0.21/0.80  % done 88 iterations in 0.045s
% 0.21/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.80  % SZS output start Refutation
% 0.21/0.80  thf(universal_class_type, type, universal_class: $i).
% 0.21/0.80  thf(null_class_type, type, null_class: $i).
% 0.21/0.80  thf(member_type, type, member: $i > $i > $o).
% 0.21/0.80  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.80  thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.80  thf(y_type, type, y: $i).
% 0.21/0.80  thf(x_type, type, x: $i).
% 0.21/0.80  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.21/0.80  thf(unordered_pair_equals_singleton2, axiom,
% 0.21/0.80    (( member @ X @ universal_class ) | 
% 0.21/0.80     ( ( unordered_pair @ X @ Y ) = ( singleton @ Y ) ))).
% 0.21/0.80  thf(zip_derived_cl44, plain,
% 0.21/0.80      (![X0 : $i, X1 : $i]:
% 0.21/0.80         ( (member @ X0 @ universal_class)
% 0.21/0.80          | ((unordered_pair @ X0 @ X1) = (singleton @ X1)))),
% 0.21/0.80      inference('cnf', [status(esa)], [unordered_pair_equals_singleton2])).
% 0.21/0.80  thf(prove_property_2_of_ordered_pair_2, conjecture,
% 0.21/0.80    (( unordered_pair @ null_class @ ( singleton @ ( singleton @ y ) ) ) =
% 0.21/0.80     ( ordered_pair @ x @ y ))).
% 0.21/0.80  thf(zf_stmt_0, negated_conjecture,
% 0.21/0.80    (( unordered_pair @ null_class @ ( singleton @ ( singleton @ y ) ) ) !=
% 0.21/0.80     ( ordered_pair @ x @ y )),
% 0.21/0.80    inference('cnf.neg', [status(esa)], [prove_property_2_of_ordered_pair_2])).
% 0.21/0.80  thf(zip_derived_cl71, plain,
% 0.21/0.80      (((unordered_pair @ null_class @ (singleton @ (singleton @ y)))
% 0.21/0.80         != (ordered_pair @ x @ y))),
% 0.21/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.80  thf(ordered_pair, axiom,
% 0.21/0.80    (( unordered_pair @
% 0.21/0.80       ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.21/0.80     ( ordered_pair @ X @ Y ))).
% 0.21/0.80  thf(zip_derived_cl12, plain,
% 0.21/0.80      (![X0 : $i, X1 : $i]:
% 0.21/0.80         ((unordered_pair @ (singleton @ X0) @ 
% 0.21/0.80           (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.21/0.80      inference('cnf', [status(esa)], [ordered_pair])).
% 0.21/0.80  thf(singleton_is_null_class, axiom,
% 0.21/0.80    (( member @ X @ universal_class ) | ( ( singleton @ X ) = ( null_class ) ))).
% 0.21/0.80  thf(zip_derived_cl58, plain,
% 0.21/0.80      (![X0 : $i]:
% 0.21/0.80         ( (member @ X0 @ universal_class) | ((singleton @ X0) = (null_class)))),
% 0.21/0.80      inference('cnf', [status(esa)], [singleton_is_null_class])).
% 0.21/0.80  thf(prove_property_2_of_ordered_pair_3, conjecture,
% 0.21/0.80    (member @ x @ universal_class)).
% 0.21/0.80  thf(zf_stmt_1, negated_conjecture, (~( member @ x @ universal_class )),
% 0.21/0.80    inference('cnf.neg', [status(esa)], [prove_property_2_of_ordered_pair_3])).
% 0.21/0.80  thf(zip_derived_cl70, plain, (~ (member @ x @ universal_class)),
% 0.21/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.80  thf(zip_derived_cl341, plain, (((singleton @ x) = (null_class))),
% 0.21/0.80      inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl70])).
% 0.21/0.80  thf(zip_derived_cl405, plain,
% 0.21/0.80      (((unordered_pair @ null_class @ (singleton @ (singleton @ y)))
% 0.21/0.80         != (unordered_pair @ null_class @ 
% 0.21/0.80             (unordered_pair @ x @ (singleton @ y))))),
% 0.21/0.80      inference('demod', [status(thm)],
% 0.21/0.80                [zip_derived_cl71, zip_derived_cl12, zip_derived_cl341])).
% 0.21/0.80  thf(zip_derived_cl481, plain,
% 0.21/0.80      ((((unordered_pair @ null_class @ (singleton @ (singleton @ y)))
% 0.21/0.80          != (unordered_pair @ null_class @ (singleton @ (singleton @ y))))
% 0.21/0.80        |  (member @ x @ universal_class))),
% 0.21/0.80      inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl405])).
% 0.21/0.80  thf(zip_derived_cl70, plain, (~ (member @ x @ universal_class)),
% 0.21/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.80  thf(zip_derived_cl490, plain,
% 0.21/0.80      (((unordered_pair @ null_class @ (singleton @ (singleton @ y)))
% 0.21/0.80         != (unordered_pair @ null_class @ (singleton @ (singleton @ y))))),
% 0.21/0.80      inference('demod', [status(thm)], [zip_derived_cl481, zip_derived_cl70])).
% 0.21/0.80  thf(zip_derived_cl491, plain, ($false),
% 0.21/0.80      inference('simplify', [status(thm)], [zip_derived_cl490])).
% 0.21/0.80  
% 0.21/0.80  % SZS output end Refutation
% 0.21/0.80  
% 0.21/0.80  
% 0.21/0.80  % Terminating...
% 1.13/0.86  % Runner terminated.
% 1.13/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------