TSTP Solution File: SET082-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET082-7 : 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.q3QUf8IHzb true
% Computer : n023.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 16:12:32 EDT 2023
% Result : Unsatisfiable 0.57s 0.79s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET082-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.14/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.q3QUf8IHzb true
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 15:49:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.21/0.35 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.55/0.63 % Total configuration time : 435
% 0.55/0.63 % Estimated wc time : 1092
% 0.55/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.79 % Solved by fo/fo4.sh.
% 0.57/0.79 % done 62 iterations in 0.027s
% 0.57/0.79 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.79 % SZS output start Refutation
% 0.57/0.79 thf(universal_class_type, type, universal_class: $i).
% 0.57/0.79 thf(null_class_type, type, null_class: $i).
% 0.57/0.79 thf(member_type, type, member: $i > $i > $o).
% 0.57/0.79 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.57/0.79 thf(singleton_type, type, singleton: $i > $i).
% 0.57/0.79 thf(x_type, type, x: $i).
% 0.57/0.79 thf(prove_singleton_is_null_class_1, conjecture,
% 0.57/0.79 (member @ x @ universal_class)).
% 0.57/0.79 thf(zf_stmt_0, negated_conjecture, (~( member @ x @ universal_class )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [prove_singleton_is_null_class_1])).
% 0.57/0.79 thf(zip_derived_cl22, plain, (~ (member @ x @ universal_class)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.79 thf(null_unordered_pair, axiom,
% 0.57/0.79 (( ( unordered_pair @ X @ Y ) = ( null_class ) ) |
% 0.57/0.79 ( member @ X @ universal_class ) | ( member @ Y @ universal_class ))).
% 0.57/0.79 thf(zip_derived_cl11, plain,
% 0.57/0.79 (![X0 : $i, X1 : $i]:
% 0.57/0.79 (((unordered_pair @ X0 @ X1) = (null_class))
% 0.57/0.79 | (member @ X0 @ universal_class)
% 0.57/0.79 | (member @ X1 @ universal_class))),
% 0.57/0.79 inference('cnf', [status(esa)], [null_unordered_pair])).
% 0.57/0.79 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.57/0.79 thf(zip_derived_cl1, plain,
% 0.57/0.79 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.57/0.79 inference('cnf', [status(esa)], [singleton_set])).
% 0.57/0.79 thf(zip_derived_cl174, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (((null_class) = (singleton @ X0))
% 0.57/0.79 | (member @ X0 @ universal_class)
% 0.57/0.79 | (member @ X0 @ universal_class))),
% 0.57/0.79 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 0.57/0.79 thf(zip_derived_cl200, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 ( (member @ X0 @ universal_class) | ((null_class) = (singleton @ X0)))),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl174])).
% 0.57/0.79 thf(unordered_pair_equals_singleton2, axiom,
% 0.57/0.79 (( member @ X @ universal_class ) |
% 0.57/0.79 ( ( unordered_pair @ X @ Y ) = ( singleton @ Y ) ))).
% 0.57/0.79 thf(zip_derived_cl10, plain,
% 0.57/0.79 (![X0 : $i, X1 : $i]:
% 0.57/0.79 ( (member @ X0 @ universal_class)
% 0.57/0.79 | ((unordered_pair @ X0 @ X1) = (singleton @ X1)))),
% 0.57/0.79 inference('cnf', [status(esa)], [unordered_pair_equals_singleton2])).
% 0.57/0.79 thf(zip_derived_cl22, plain, (~ (member @ x @ universal_class)),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.79 thf(zip_derived_cl96, plain,
% 0.57/0.79 (![X0 : $i]: ((unordered_pair @ x @ X0) = (singleton @ X0))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl22])).
% 0.57/0.79 thf(unordered_pair_equals_singleton1, axiom,
% 0.57/0.79 (( member @ Y @ universal_class ) |
% 0.57/0.79 ( ( unordered_pair @ X @ Y ) = ( singleton @ X ) ))).
% 0.57/0.79 thf(zip_derived_cl9, plain,
% 0.57/0.79 (![X0 : $i, X1 : $i]:
% 0.57/0.79 ( (member @ X0 @ universal_class)
% 0.57/0.79 | ((unordered_pair @ X1 @ X0) = (singleton @ X1)))),
% 0.57/0.79 inference('cnf', [status(esa)], [unordered_pair_equals_singleton1])).
% 0.57/0.79 thf(corollary_to_set_in_its_singleton, axiom,
% 0.57/0.79 (( ~( member @ X @ universal_class ) ) |
% 0.57/0.79 ( ( singleton @ X ) != ( null_class ) ))).
% 0.57/0.79 thf(zip_derived_cl18, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (~ (member @ X0 @ universal_class)
% 0.57/0.79 | ((singleton @ X0) != (null_class)))),
% 0.57/0.79 inference('cnf', [status(esa)], [corollary_to_set_in_its_singleton])).
% 0.57/0.79 thf(zip_derived_cl44, plain,
% 0.57/0.79 (![X0 : $i, X1 : $i]:
% 0.57/0.79 (((unordered_pair @ X1 @ X0) = (singleton @ X1))
% 0.57/0.79 | ((singleton @ X0) != (null_class)))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl18])).
% 0.57/0.79 thf(zip_derived_cl117, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (((singleton @ X0) = (singleton @ x))
% 0.57/0.79 | ((singleton @ X0) != (null_class)))),
% 0.57/0.79 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl44])).
% 0.57/0.79 thf(prove_singleton_is_null_class_2, conjecture,
% 0.57/0.79 (( singleton @ x ) = ( null_class ))).
% 0.57/0.79 thf(zf_stmt_1, negated_conjecture, (( singleton @ x ) != ( null_class )),
% 0.57/0.79 inference('cnf.neg', [status(esa)], [prove_singleton_is_null_class_2])).
% 0.57/0.79 thf(zip_derived_cl21, plain, (((singleton @ x) != (null_class))),
% 0.57/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.79 thf(zip_derived_cl143, plain,
% 0.57/0.79 (![X0 : $i]:
% 0.57/0.79 (((singleton @ X0) != (null_class))
% 0.57/0.79 | ((singleton @ X0) != (null_class)))),
% 0.57/0.79 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl21])).
% 0.57/0.79 thf(zip_derived_cl173, plain,
% 0.57/0.79 (![X0 : $i]: ((singleton @ X0) != (null_class))),
% 0.57/0.79 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 0.57/0.79 thf(zip_derived_cl201, plain, (![X0 : $i]: (member @ X0 @ universal_class)),
% 0.57/0.79 inference('simplify_reflect-', [status(thm)],
% 0.57/0.79 [zip_derived_cl200, zip_derived_cl173])).
% 0.57/0.79 thf(zip_derived_cl218, plain, ($false),
% 0.57/0.79 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl201])).
% 0.57/0.79
% 0.57/0.79 % SZS output end Refutation
% 0.57/0.79
% 0.57/0.79
% 0.57/0.79 % Terminating...
% 1.57/0.84 % Runner terminated.
% 1.57/0.85 % Zipperpin 1.5 exiting
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