TSTP Solution File: SET084-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET084-6 : 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.G2pvqX47YV 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 16:12:33 EDT 2023
% Result : Unsatisfiable 0.21s 0.75s
% Output : Refutation 0.21s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET084-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.G2pvqX47YV true
% 0.17/0.35 % Computer : n027.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Sat Aug 26 13:32:50 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.17/0.35 % Running portfolio for 300 s
% 0.17/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.36 % Number of cores: 8
% 0.17/0.36 % Python version: Python 3.6.8
% 0.17/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /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
% 0.21/0.75 % Solved by fo/fo6_bce.sh.
% 0.21/0.75 % BCE start: 94
% 0.21/0.75 % BCE eliminated: 0
% 0.21/0.75 % PE start: 94
% 0.21/0.75 logic: eq
% 0.21/0.75 % PE eliminated: 16
% 0.21/0.75 % done 33 iterations in 0.028s
% 0.21/0.75 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.75 % SZS output start Refutation
% 0.21/0.75 thf(universal_class_type, type, universal_class: $i).
% 0.21/0.75 thf(member_type, type, member: $i > $i > $o).
% 0.21/0.75 thf(x_type, type, x: $i).
% 0.21/0.75 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.21/0.75 thf(y_type, type, y: $i).
% 0.21/0.75 thf(singleton_type, type, singleton: $i > $i).
% 0.21/0.75 thf(prove_singleton_identified_by_element2_1, conjecture,
% 0.21/0.75 (( singleton @ x ) != ( singleton @ y ))).
% 0.21/0.75 thf(zf_stmt_0, negated_conjecture, (( singleton @ x ) = ( singleton @ y )),
% 0.21/0.75 inference('cnf.neg', [status(esa)],
% 0.21/0.75 [prove_singleton_identified_by_element2_1])).
% 0.21/0.75 thf(zip_derived_cl91, plain, (((singleton @ x) = (singleton @ y))),
% 0.21/0.75 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.21/0.75 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.21/0.75 thf(zip_derived_cl11, plain,
% 0.21/0.75 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.21/0.75 inference('cnf', [status(esa)], [singleton_set])).
% 0.21/0.75 thf(unordered_pair2, axiom,
% 0.21/0.75 (( ~( member @ X @ universal_class ) ) |
% 0.21/0.75 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.21/0.75 thf(zip_derived_cl8, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i]:
% 0.21/0.75 (~ (member @ X0 @ universal_class)
% 0.21/0.75 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.21/0.75 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.21/0.75 thf(zip_derived_cl448, plain,
% 0.21/0.75 (![X0 : $i]:
% 0.21/0.75 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.21/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.21/0.75 thf(zip_derived_cl458, plain,
% 0.21/0.75 ((~ (member @ y @ universal_class) | (member @ y @ (singleton @ x)))),
% 0.21/0.75 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl448])).
% 0.21/0.75 thf(prove_singleton_identified_by_element2_2, conjecture,
% 0.21/0.75 (~( member @ y @ universal_class ))).
% 0.21/0.75 thf(zf_stmt_1, negated_conjecture, (member @ y @ universal_class),
% 0.21/0.75 inference('cnf.neg', [status(esa)],
% 0.21/0.75 [prove_singleton_identified_by_element2_2])).
% 0.21/0.75 thf(zip_derived_cl92, plain, ( (member @ y @ universal_class)),
% 0.21/0.75 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.21/0.75 thf(zip_derived_cl459, plain, ( (member @ y @ (singleton @ x))),
% 0.21/0.75 inference('demod', [status(thm)], [zip_derived_cl458, zip_derived_cl92])).
% 0.21/0.75 thf(zip_derived_cl11, plain,
% 0.21/0.75 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.21/0.75 inference('cnf', [status(esa)], [singleton_set])).
% 0.21/0.75 thf(unordered_pair_member, axiom,
% 0.21/0.75 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.21/0.75 ( ( U ) = ( Y ) ))).
% 0.21/0.75 thf(zip_derived_cl7, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.21/0.75 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.21/0.75 | ((X0) = (X1))
% 0.21/0.75 | ((X0) = (X2)))),
% 0.21/0.75 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.21/0.75 thf(zip_derived_cl438, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i]:
% 0.21/0.75 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.21/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.21/0.75 thf(zip_derived_cl439, plain,
% 0.21/0.75 (![X0 : $i, X1 : $i]:
% 0.21/0.75 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.21/0.75 inference('simplify', [status(thm)], [zip_derived_cl438])).
% 0.21/0.75 thf(zip_derived_cl462, plain, (((y) = (x))),
% 0.21/0.75 inference('s_sup-', [status(thm)], [zip_derived_cl459, zip_derived_cl439])).
% 0.21/0.75 thf(prove_singleton_identified_by_element2_3, conjecture, (( x ) = ( y ))).
% 0.21/0.75 thf(zf_stmt_2, negated_conjecture, (( x ) != ( y )),
% 0.21/0.75 inference('cnf.neg', [status(esa)],
% 0.21/0.75 [prove_singleton_identified_by_element2_3])).
% 0.21/0.75 thf(zip_derived_cl93, plain, (((x) != (y))),
% 0.21/0.75 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.21/0.75 thf(zip_derived_cl464, plain, ($false),
% 0.21/0.75 inference('simplify_reflect-', [status(thm)],
% 0.21/0.75 [zip_derived_cl462, zip_derived_cl93])).
% 0.21/0.75
% 0.21/0.75 % SZS output end Refutation
% 0.21/0.75
% 0.21/0.75
% 0.21/0.75 % Terminating...
% 1.39/0.86 % Runner terminated.
% 1.39/0.87 % Zipperpin 1.5 exiting
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