TSTP Solution File: SET101-6 by Zipperpin---2.1.9999

View Problem - Process Solution

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% File     : Zipperpin---2.1.9999
% Problem  : SET101-6 : 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.6mBjKTRnnz true

% Computer : n027.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 16:12:45 EDT 2023

% Result   : Unsatisfiable 0.20s 0.76s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET101-6 : 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.6mBjKTRnnz true
% 0.13/0.34  % Computer : n027.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 09:09:19 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
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.20/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76  % Solved by fo/fo3_bce.sh.
% 0.20/0.76  % BCE start: 42
% 0.20/0.76  % BCE eliminated: 2
% 0.20/0.76  % PE start: 40
% 0.20/0.76  logic: eq
% 0.20/0.76  % PE eliminated: 10
% 0.20/0.76  % done 29 iterations in 0.021s
% 0.20/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.76  % SZS output start Refutation
% 0.20/0.76  thf(universal_class_type, type, universal_class: $i).
% 0.20/0.76  thf(member_type, type, member: $i > $i > $o).
% 0.20/0.76  thf(x_type, type, x: $i).
% 0.20/0.76  thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.20/0.76  thf(y_type, type, y: $i).
% 0.20/0.76  thf(singleton_type, type, singleton: $i > $i).
% 0.20/0.76  thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.20/0.76  thf(unordered_pair2, axiom,
% 0.20/0.76    (( ~( member @ X @ universal_class ) ) | 
% 0.20/0.76     ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.20/0.76  thf(zip_derived_cl6, plain,
% 0.20/0.76      (![X0 : $i, X1 : $i]:
% 0.20/0.76         (~ (member @ X0 @ universal_class)
% 0.20/0.76          |  (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.20/0.76      inference('cnf', [status(esa)], [unordered_pair2])).
% 0.20/0.76  thf(prove_singleton_member_of_ordered_pair_1, conjecture,
% 0.20/0.76    (member @ ( singleton @ x ) @ ( ordered_pair @ x @ y ))).
% 0.20/0.76  thf(zf_stmt_0, negated_conjecture,
% 0.20/0.76    (~( member @ ( singleton @ x ) @ ( ordered_pair @ x @ y ) )),
% 0.20/0.76    inference('cnf.neg', [status(esa)],
% 0.20/0.76              [prove_singleton_member_of_ordered_pair_1])).
% 0.20/0.76  thf(zip_derived_cl41, plain,
% 0.20/0.76      (~ (member @ (singleton @ x) @ (ordered_pair @ x @ y))),
% 0.20/0.76      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.76  thf(ordered_pair, axiom,
% 0.20/0.76    (( unordered_pair @
% 0.20/0.76       ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.20/0.76     ( ordered_pair @ X @ Y ))).
% 0.20/0.76  thf(zip_derived_cl10, plain,
% 0.20/0.76      (![X0 : $i, X1 : $i]:
% 0.20/0.76         ((unordered_pair @ (singleton @ X0) @ 
% 0.20/0.76           (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.20/0.76      inference('cnf', [status(esa)], [ordered_pair])).
% 0.20/0.76  thf(zip_derived_cl212, plain,
% 0.20/0.76      (~ (member @ (singleton @ x) @ 
% 0.20/0.76          (unordered_pair @ (singleton @ x) @ 
% 0.20/0.76           (unordered_pair @ x @ (singleton @ y))))),
% 0.20/0.76      inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl10])).
% 0.20/0.76  thf(zip_derived_cl218, plain,
% 0.20/0.76      (~ (member @ (singleton @ x) @ universal_class)),
% 0.20/0.76      inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl212])).
% 0.20/0.76  thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.20/0.76  thf(zip_derived_cl9, plain,
% 0.20/0.76      (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.20/0.76      inference('cnf', [status(esa)], [singleton_set])).
% 0.20/0.76  thf(unordered_pairs_in_universal, axiom,
% 0.20/0.76    (member @ ( unordered_pair @ X @ Y ) @ universal_class)).
% 0.20/0.76  thf(zip_derived_cl8, plain,
% 0.20/0.76      (![X0 : $i, X1 : $i]:
% 0.20/0.76          (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 0.20/0.76      inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 0.20/0.76  thf(zip_derived_cl188, plain,
% 0.20/0.76      (![X0 : $i]:  (member @ (singleton @ X0) @ universal_class)),
% 0.20/0.76      inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl8])).
% 0.20/0.76  thf(zip_derived_cl219, plain, ($false),
% 0.20/0.76      inference('demod', [status(thm)], [zip_derived_cl218, zip_derived_cl188])).
% 0.20/0.76  
% 0.20/0.76  % SZS output end Refutation
% 0.20/0.76  
% 0.20/0.76  
% 0.20/0.76  % Terminating...
% 1.60/0.85  % Runner terminated.
% 1.60/0.86  % Zipperpin 1.5 exiting
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