TSTP Solution File: SET122-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W2ead8mVjN true
% Computer : n024.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 16:12:55 EDT 2023
% Result : Unsatisfiable 1.34s 0.89s
% Output : Refutation 1.34s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET122-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W2ead8mVjN true
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 08:58:24 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.21/0.61 % Total configuration time : 435
% 0.21/0.61 % Estimated wc time : 1092
% 0.21/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.34/0.89 % Solved by fo/fo4.sh.
% 1.34/0.89 % done 195 iterations in 0.105s
% 1.34/0.89 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.34/0.89 % SZS output start Refutation
% 1.34/0.89 thf(universal_class_type, type, universal_class: $i).
% 1.34/0.89 thf(member_type, type, member: $i > $i > $o).
% 1.34/0.89 thf(second_type, type, second: $i > $i).
% 1.34/0.89 thf(x_type, type, x: $i).
% 1.34/0.89 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.34/0.89 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.34/0.89 thf(y_type, type, y: $i).
% 1.34/0.89 thf(first_type, type, first: $i > $i).
% 1.34/0.89 thf(existence_of_1st_and_2nd_5, axiom,
% 1.34/0.89 (( ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) = ( X ) ) |
% 1.34/0.89 ( ( second @ X ) = ( X ) ))).
% 1.34/0.89 thf(zip_derived_cl14, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 (((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0))
% 1.34/0.89 | ((second @ X0) = (X0)))),
% 1.34/0.89 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_5])).
% 1.34/0.89 thf(existence_of_1st_and_2nd_3, axiom,
% 1.34/0.89 (( member @
% 1.34/0.89 ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) @
% 1.34/0.89 ( cross_product @ universal_class @ universal_class ) ) |
% 1.34/0.89 ( ( second @ X ) = ( X ) ))).
% 1.34/0.89 thf(zip_derived_cl12, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ( (member @ (ordered_pair @ (first @ X0) @ (second @ X0)) @
% 1.34/0.89 (cross_product @ universal_class @ universal_class))
% 1.34/0.89 | ((second @ X0) = (X0)))),
% 1.34/0.89 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_3])).
% 1.34/0.89 thf(zip_derived_cl352, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 ( (member @ X0 @ (cross_product @ universal_class @ universal_class))
% 1.34/0.89 | ((second @ X0) = (X0))
% 1.34/0.89 | ((second @ X0) = (X0)))),
% 1.34/0.89 inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl12])).
% 1.34/0.89 thf(zip_derived_cl363, plain,
% 1.34/0.89 (![X0 : $i]:
% 1.34/0.89 (((second @ X0) = (X0))
% 1.34/0.89 | (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 1.34/0.89 inference('simplify', [status(thm)], [zip_derived_cl352])).
% 1.34/0.89 thf(cartesian_product2, axiom,
% 1.34/0.89 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.34/0.89 ( member @ V @ Y ))).
% 1.34/0.89 thf(zip_derived_cl1, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.34/0.89 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.34/0.89 | (member @ X1 @ X3))),
% 1.34/0.89 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.34/0.89 thf(zip_derived_cl478, plain,
% 1.34/0.89 (![X0 : $i, X1 : $i]:
% 1.34/0.89 (((second @ (ordered_pair @ X1 @ X0)) = (ordered_pair @ X1 @ X0))
% 1.34/0.89 | (member @ X0 @ universal_class))),
% 1.34/0.89 inference('sup-', [status(thm)], [zip_derived_cl363, zip_derived_cl1])).
% 1.34/0.89 thf(prove_corollary_2_to_OP_determines_components2_2, conjecture,
% 1.34/0.89 (( second @ ( ordered_pair @ x @ y ) ) = ( ordered_pair @ x @ y ))).
% 1.34/0.89 thf(zf_stmt_0, negated_conjecture,
% 1.34/0.89 (( second @ ( ordered_pair @ x @ y ) ) != ( ordered_pair @ x @ y )),
% 1.34/0.89 inference('cnf.neg', [status(esa)],
% 1.34/0.89 [prove_corollary_2_to_OP_determines_components2_2])).
% 1.34/0.89 thf(zip_derived_cl22, plain,
% 1.34/0.89 (((second @ (ordered_pair @ x @ y)) != (ordered_pair @ x @ y))),
% 1.34/0.89 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.34/0.89 thf(zip_derived_cl913, plain,
% 1.34/0.89 ((((ordered_pair @ x @ y) != (ordered_pair @ x @ y))
% 1.34/0.89 | (member @ y @ universal_class))),
% 1.34/0.89 inference('sup-', [status(thm)], [zip_derived_cl478, zip_derived_cl22])).
% 1.34/0.89 thf(prove_corollary_2_to_OP_determines_components2_1, conjecture,
% 1.34/0.89 (member @ y @ universal_class)).
% 1.34/0.89 thf(zf_stmt_1, negated_conjecture, (~( member @ y @ universal_class )),
% 1.34/0.89 inference('cnf.neg', [status(esa)],
% 1.34/0.89 [prove_corollary_2_to_OP_determines_components2_1])).
% 1.34/0.89 thf(zip_derived_cl23, plain, (~ (member @ y @ universal_class)),
% 1.34/0.89 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.34/0.89 thf(zip_derived_cl922, plain,
% 1.34/0.89 (((ordered_pair @ x @ y) != (ordered_pair @ x @ y))),
% 1.34/0.89 inference('demod', [status(thm)], [zip_derived_cl913, zip_derived_cl23])).
% 1.34/0.89 thf(zip_derived_cl923, plain, ($false),
% 1.34/0.89 inference('simplify', [status(thm)], [zip_derived_cl922])).
% 1.34/0.89
% 1.34/0.89 % SZS output end Refutation
% 1.34/0.89
% 1.34/0.89
% 1.34/0.89 % Terminating...
% 1.34/0.92 % Runner terminated.
% 1.59/0.94 % Zipperpin 1.5 exiting
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