TSTP Solution File: SET113-7 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET113-7 : 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.v6n9TtUiFA true
% Computer : n013.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 16:12:50 EDT 2023
% Result : Unsatisfiable 1.20s 0.84s
% Output : Refutation 1.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET113-7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v6n9TtUiFA true
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 15:55:17 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % 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
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.20/0.84 % Solved by fo/fo3_bce.sh.
% 1.20/0.84 % BCE start: 80
% 1.20/0.84 % BCE eliminated: 0
% 1.20/0.84 % PE start: 80
% 1.20/0.84 logic: eq
% 1.20/0.84 % PE eliminated: 7
% 1.20/0.84 % done 119 iterations in 0.100s
% 1.20/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.20/0.84 % SZS output start Refutation
% 1.20/0.84 thf(universal_class_type, type, universal_class: $i).
% 1.20/0.84 thf(member_type, type, member: $i > $i > $o).
% 1.20/0.84 thf(second_type, type, second: $i > $i).
% 1.20/0.84 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.20/0.84 thf(singleton_type, type, singleton: $i > $i).
% 1.20/0.84 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.20/0.84 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.20/0.84 thf(x_type, type, x: $i).
% 1.20/0.84 thf(first_type, type, first: $i > $i).
% 1.20/0.84 thf(existence_of_1st_and_2nd_2, axiom,
% 1.20/0.84 (( member @
% 1.20/0.84 ( ordered_pair @ ( first @ X ) @ ( second @ X ) ) @
% 1.20/0.84 ( cross_product @ universal_class @ universal_class ) ) |
% 1.20/0.84 ( ( first @ X ) = ( X ) ))).
% 1.20/0.84 thf(zip_derived_cl72, plain,
% 1.20/0.84 (![X0 : $i]:
% 1.20/0.84 ( (member @ (ordered_pair @ (first @ X0) @ (second @ X0)) @
% 1.20/0.84 (cross_product @ universal_class @ universal_class))
% 1.20/0.84 | ((first @ X0) = (X0)))),
% 1.20/0.84 inference('cnf', [status(esa)], [existence_of_1st_and_2nd_2])).
% 1.20/0.84 thf(ordered_pair, axiom,
% 1.20/0.84 (( unordered_pair @
% 1.20/0.84 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 1.20/0.84 ( ordered_pair @ X @ Y ))).
% 1.20/0.84 thf(zip_derived_cl12, plain,
% 1.20/0.84 (![X0 : $i, X1 : $i]:
% 1.20/0.84 ((unordered_pair @ (singleton @ X0) @
% 1.20/0.84 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.20/0.84 inference('cnf', [status(esa)], [ordered_pair])).
% 1.20/0.84 thf(zip_derived_cl803, plain,
% 1.20/0.84 (![X0 : $i]:
% 1.20/0.84 ( (member @
% 1.20/0.84 (unordered_pair @ (singleton @ (first @ X0)) @
% 1.20/0.84 (unordered_pair @ (first @ X0) @ (singleton @ (second @ X0)))) @
% 1.20/0.84 (cross_product @ universal_class @ universal_class))
% 1.20/0.84 | ((first @ X0) = (X0)))),
% 1.20/0.84 inference('demod', [status(thm)], [zip_derived_cl72, zip_derived_cl12])).
% 1.20/0.84 thf(prove_unique_1st_and_2nd_in_pair_of_non_sets1_1, conjecture,
% 1.20/0.84 (member @
% 1.20/0.84 ( ordered_pair @ ( first @ x ) @ ( second @ x ) ) @
% 1.20/0.84 ( cross_product @ universal_class @ universal_class ))).
% 1.20/0.84 thf(zf_stmt_0, negated_conjecture,
% 1.20/0.84 (~( member @
% 1.20/0.84 ( ordered_pair @ ( first @ x ) @ ( second @ x ) ) @
% 1.20/0.84 ( cross_product @ universal_class @ universal_class ) )),
% 1.20/0.84 inference('cnf.neg', [status(esa)],
% 1.20/0.84 [prove_unique_1st_and_2nd_in_pair_of_non_sets1_1])).
% 1.20/0.84 thf(zip_derived_cl79, plain,
% 1.20/0.84 (~ (member @ (ordered_pair @ (first @ x) @ (second @ x)) @
% 1.20/0.84 (cross_product @ universal_class @ universal_class))),
% 1.20/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.20/0.84 thf(zip_derived_cl12, plain,
% 1.20/0.84 (![X0 : $i, X1 : $i]:
% 1.20/0.84 ((unordered_pair @ (singleton @ X0) @
% 1.20/0.84 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 1.20/0.84 inference('cnf', [status(esa)], [ordered_pair])).
% 1.20/0.84 thf(zip_derived_cl488, plain,
% 1.20/0.84 (~ (member @
% 1.20/0.84 (unordered_pair @ (singleton @ (first @ x)) @
% 1.20/0.84 (unordered_pair @ (first @ x) @ (singleton @ (second @ x)))) @
% 1.20/0.84 (cross_product @ universal_class @ universal_class))),
% 1.20/0.84 inference('demod', [status(thm)], [zip_derived_cl79, zip_derived_cl12])).
% 1.20/0.84 thf(zip_derived_cl911, plain, (((first @ x) = (x))),
% 1.20/0.84 inference('sup-', [status(thm)], [zip_derived_cl803, zip_derived_cl488])).
% 1.20/0.84 thf(prove_unique_1st_in_pair_of_non_sets, conjecture,
% 1.20/0.84 (( first @ x ) = ( x ))).
% 1.20/0.84 thf(zf_stmt_1, negated_conjecture, (( first @ x ) != ( x )),
% 1.20/0.84 inference('cnf.neg', [status(esa)], [prove_unique_1st_in_pair_of_non_sets])).
% 1.20/0.84 thf(zip_derived_cl78, plain, (((first @ x) != (x))),
% 1.20/0.84 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.20/0.84 thf(zip_derived_cl921, plain, ($false),
% 1.20/0.84 inference('simplify_reflect-', [status(thm)],
% 1.20/0.84 [zip_derived_cl911, zip_derived_cl78])).
% 1.20/0.84
% 1.20/0.84 % SZS output end Refutation
% 1.20/0.84
% 1.20/0.84
% 1.20/0.84 % Terminating...
% 1.20/0.87 % Runner terminated.
% 1.54/0.88 % Zipperpin 1.5 exiting
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