TSTP Solution File: SET203-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET203-6 : 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.39Pr0B1nBE true
% Computer : n022.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 16:13:26 EDT 2023
% Result : Unsatisfiable 1.11s 0.80s
% Output : Refutation 1.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET203-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.39Pr0B1nBE true
% 0.15/0.36 % Computer : n022.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 10:57:25 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.68 % Total configuration time : 435
% 0.23/0.68 % Estimated wc time : 1092
% 0.23/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.11/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.11/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.11/0.80 % Solved by fo/fo3_bce.sh.
% 1.11/0.80 % BCE start: 30
% 1.11/0.80 % BCE eliminated: 0
% 1.11/0.80 % PE start: 30
% 1.11/0.80 logic: eq
% 1.11/0.80 % PE eliminated: 9
% 1.11/0.80 % done 26 iterations in 0.020s
% 1.11/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.11/0.80 % SZS output start Refutation
% 1.11/0.80 thf(universal_class_type, type, universal_class: $i).
% 1.11/0.80 thf(member_type, type, member: $i > $i > $o).
% 1.11/0.80 thf(u_type, type, u: $i).
% 1.11/0.80 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.11/0.80 thf(y_type, type, y: $i).
% 1.11/0.80 thf(singleton_type, type, singleton: $i > $i).
% 1.11/0.80 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.11/0.80 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.11/0.80 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.11/0.80 thf(x_type, type, x: $i).
% 1.11/0.80 thf(v_type, type, v: $i).
% 1.11/0.80 thf(prove_corollary_to_X_product_property1_3, conjecture,
% 1.11/0.80 (member @
% 1.11/0.80 ( ordered_pair @ u @ v ) @
% 1.11/0.80 ( cross_product @ universal_class @ universal_class ))).
% 1.11/0.80 thf(zf_stmt_0, negated_conjecture,
% 1.11/0.80 (~( member @
% 1.11/0.80 ( ordered_pair @ u @ v ) @
% 1.11/0.80 ( cross_product @ universal_class @ universal_class ) )),
% 1.11/0.80 inference('cnf.neg', [status(esa)],
% 1.11/0.80 [prove_corollary_to_X_product_property1_3])).
% 1.11/0.80 thf(zip_derived_cl27, plain,
% 1.11/0.80 (~ (member @ (ordered_pair @ u @ v) @
% 1.11/0.80 (cross_product @ universal_class @ universal_class))),
% 1.11/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.11/0.80 thf(ordered_pair, axiom,
% 1.11/0.80 (( unordered_pair @
% 1.11/0.80 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.11/0.80 ( ordered_pair @ X @ Y ))).
% 1.11/0.80 thf(zip_derived_cl6, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i]:
% 1.11/0.80 ((unordered_pair @ (singleton @ X0) @
% 1.11/0.80 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.11/0.80 inference('cnf', [status(esa)], [ordered_pair])).
% 1.11/0.80 thf(zip_derived_cl157, plain,
% 1.11/0.80 (~ (member @
% 1.11/0.80 (unordered_pair @ (singleton @ u) @
% 1.11/0.80 (unordered_pair @ u @ (singleton @ v))) @
% 1.11/0.80 (cross_product @ universal_class @ universal_class))),
% 1.11/0.80 inference('demod', [status(thm)], [zip_derived_cl27, zip_derived_cl6])).
% 1.11/0.80 thf(cartesian_product3, axiom,
% 1.11/0.80 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 1.11/0.80 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 1.11/0.80 thf(zip_derived_cl9, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.11/0.80 (~ (member @ X0 @ X1)
% 1.11/0.80 | ~ (member @ X2 @ X3)
% 1.11/0.80 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 1.11/0.80 inference('cnf', [status(esa)], [cartesian_product3])).
% 1.11/0.80 thf(zip_derived_cl6, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i]:
% 1.11/0.80 ((unordered_pair @ (singleton @ X0) @
% 1.11/0.80 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.11/0.80 inference('cnf', [status(esa)], [ordered_pair])).
% 1.11/0.80 thf(zip_derived_cl165, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.11/0.80 (~ (member @ X0 @ X1)
% 1.11/0.80 | ~ (member @ X2 @ X3)
% 1.11/0.80 | (member @
% 1.11/0.80 (unordered_pair @ (singleton @ X0) @
% 1.11/0.80 (unordered_pair @ X0 @ (singleton @ X2))) @
% 1.11/0.80 (cross_product @ X1 @ X3)))),
% 1.11/0.80 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl6])).
% 1.11/0.80 thf(zip_derived_cl170, plain,
% 1.11/0.80 ((~ (member @ v @ universal_class) | ~ (member @ u @ universal_class))),
% 1.11/0.80 inference('sup+', [status(thm)], [zip_derived_cl157, zip_derived_cl165])).
% 1.11/0.80 thf(prove_corollary_to_X_product_property1_2, conjecture,
% 1.11/0.80 (~( member @ v @ y ))).
% 1.11/0.80 thf(zf_stmt_1, negated_conjecture, (member @ v @ y),
% 1.11/0.80 inference('cnf.neg', [status(esa)],
% 1.11/0.80 [prove_corollary_to_X_product_property1_2])).
% 1.11/0.80 thf(zip_derived_cl28, plain, ( (member @ v @ y)),
% 1.11/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.11/0.80 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.11/0.80 thf(zip_derived_cl1, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.11/0.80 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.11/0.80 thf(subclass_members, axiom,
% 1.11/0.80 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.11/0.80 thf(zip_derived_cl0, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.11/0.80 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.11/0.80 inference('cnf', [status(esa)], [subclass_members])).
% 1.11/0.80 thf(zip_derived_cl141, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i]:
% 1.11/0.80 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.11/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.11/0.80 thf(zip_derived_cl152, plain, ( (member @ v @ universal_class)),
% 1.11/0.80 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl141])).
% 1.11/0.80 thf(prove_corollary_to_X_product_property1_1, conjecture,
% 1.11/0.80 (~( member @ u @ x ))).
% 1.11/0.80 thf(zf_stmt_2, negated_conjecture, (member @ u @ x),
% 1.11/0.80 inference('cnf.neg', [status(esa)],
% 1.11/0.80 [prove_corollary_to_X_product_property1_1])).
% 1.11/0.80 thf(zip_derived_cl29, plain, ( (member @ u @ x)),
% 1.11/0.80 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.11/0.80 thf(zip_derived_cl141, plain,
% 1.11/0.80 (![X0 : $i, X1 : $i]:
% 1.11/0.80 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 1.11/0.80 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.11/0.80 thf(zip_derived_cl151, plain, ( (member @ u @ universal_class)),
% 1.11/0.80 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl141])).
% 1.11/0.80 thf(zip_derived_cl172, plain, ($false),
% 1.11/0.80 inference('demod', [status(thm)],
% 1.11/0.80 [zip_derived_cl170, zip_derived_cl152, zip_derived_cl151])).
% 1.11/0.80
% 1.11/0.80 % SZS output end Refutation
% 1.11/0.80
% 1.11/0.80
% 1.11/0.80 % Terminating...
% 1.45/0.87 % Runner terminated.
% 1.45/0.88 % Zipperpin 1.5 exiting
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