TSTP Solution File: SET050-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET050-6 : 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.7bIDNrvfhj true
% Computer : n026.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 16:12:10 EDT 2023
% Result : Unsatisfiable 0.80s 0.78s
% Output : Refutation 0.80s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET050-6 : 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.7bIDNrvfhj true
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 10:43:03 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.80/0.78 % Solved by fo/fo3_bce.sh.
% 0.80/0.78 % BCE start: 49
% 0.80/0.78 % BCE eliminated: 4
% 0.80/0.78 % PE start: 45
% 0.80/0.78 logic: eq
% 0.80/0.78 % PE eliminated: 11
% 0.80/0.78 % done 27 iterations in 0.020s
% 0.80/0.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.80/0.78 % SZS output start Refutation
% 0.80/0.78 thf(universal_class_type, type, universal_class: $i).
% 0.80/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.80/0.78 thf(x_type, type, x: $i).
% 0.80/0.78 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.80/0.78 thf(u_type, type, u: $i).
% 0.80/0.78 thf(y_type, type, y: $i).
% 0.80/0.78 thf(v_type, type, v: $i).
% 0.80/0.78 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.80/0.78 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.80/0.78 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.80/0.78 thf(prove_corollary_1_to_unordered_pair_2, conjecture,
% 0.80/0.78 (member @ x @ ( unordered_pair @ x @ y ))).
% 0.80/0.78 thf(zf_stmt_0, negated_conjecture,
% 0.80/0.78 (~( member @ x @ ( unordered_pair @ x @ y ) )),
% 0.80/0.78 inference('cnf.neg', [status(esa)], [prove_corollary_1_to_unordered_pair_2])).
% 0.80/0.78 thf(zip_derived_cl47, plain, (~ (member @ x @ (unordered_pair @ x @ y))),
% 0.80/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.80/0.78 thf(unordered_pair2, axiom,
% 0.80/0.78 (( ~( member @ X @ universal_class ) ) |
% 0.80/0.78 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.80/0.78 thf(zip_derived_cl6, plain,
% 0.80/0.78 (![X0 : $i, X1 : $i]:
% 0.80/0.78 (~ (member @ X0 @ universal_class)
% 0.80/0.78 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.80/0.78 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.80/0.78 thf(zip_derived_cl236, plain, (~ (member @ x @ universal_class)),
% 0.80/0.78 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl6])).
% 0.80/0.78 thf(cartesian_product1, axiom,
% 0.80/0.78 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.80/0.78 ( member @ U @ X ))).
% 0.80/0.78 thf(zip_derived_cl11, plain,
% 0.80/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.80/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.80/0.78 | (member @ X0 @ X2))),
% 0.80/0.78 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.80/0.78 thf(prove_corollary_1_to_unordered_pair_1, conjecture,
% 0.80/0.78 (~( member @ ( ordered_pair @ x @ y ) @ ( cross_product @ u @ v ) ))).
% 0.80/0.78 thf(zf_stmt_1, negated_conjecture,
% 0.80/0.78 (member @ ( ordered_pair @ x @ y ) @ ( cross_product @ u @ v )),
% 0.80/0.78 inference('cnf.neg', [status(esa)], [prove_corollary_1_to_unordered_pair_1])).
% 0.80/0.78 thf(zip_derived_cl48, plain,
% 0.80/0.78 ( (member @ (ordered_pair @ x @ y) @ (cross_product @ u @ v))),
% 0.80/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.80/0.78 thf(zip_derived_cl228, plain, ( (member @ x @ u)),
% 0.80/0.78 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl48])).
% 0.80/0.78 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.80/0.78 thf(zip_derived_cl1, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.80/0.78 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.80/0.78 thf(subclass_members, axiom,
% 0.80/0.78 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.80/0.78 thf(zip_derived_cl0, plain,
% 0.80/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.80/0.78 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.80/0.78 inference('cnf', [status(esa)], [subclass_members])).
% 0.80/0.78 thf(zip_derived_cl210, plain,
% 0.80/0.78 (![X0 : $i, X1 : $i]:
% 0.80/0.78 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.80/0.78 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 0.80/0.78 thf(zip_derived_cl230, plain, ( (member @ x @ universal_class)),
% 0.80/0.78 inference('sup-', [status(thm)], [zip_derived_cl228, zip_derived_cl210])).
% 0.80/0.78 thf(zip_derived_cl238, plain, ($false),
% 0.80/0.78 inference('demod', [status(thm)], [zip_derived_cl236, zip_derived_cl230])).
% 0.80/0.78
% 0.80/0.78 % SZS output end Refutation
% 0.80/0.78
% 0.80/0.78
% 0.80/0.78 % Terminating...
% 1.55/0.86 % Runner terminated.
% 1.55/0.87 % Zipperpin 1.5 exiting
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