TSTP Solution File: SET073-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET073-6 : 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.0eNSgcWL31 true
% Computer : n009.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 16:12:26 EDT 2023
% Result : Unsatisfiable 0.56s 0.80s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET073-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.0eNSgcWL31 true
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:53:35 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.80 % Solved by fo/fo6_bce.sh.
% 0.56/0.80 % BCE start: 93
% 0.56/0.80 % BCE eliminated: 0
% 0.56/0.80 % PE start: 93
% 0.56/0.80 logic: eq
% 0.56/0.80 % PE eliminated: 16
% 0.56/0.80 % done 127 iterations in 0.070s
% 0.56/0.80 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.80 % SZS output start Refutation
% 0.56/0.80 thf(universal_class_type, type, universal_class: $i).
% 0.56/0.80 thf(union_type, type, union: $i > $i > $i).
% 0.56/0.80 thf(null_class_type, type, null_class: $i).
% 0.56/0.80 thf(member_type, type, member: $i > $i > $o).
% 0.56/0.80 thf(x_type, type, x: $i).
% 0.56/0.80 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.56/0.80 thf(complement_type, type, complement: $i > $i).
% 0.56/0.80 thf(y_type, type, y: $i).
% 0.56/0.80 thf(singleton_type, type, singleton: $i > $i).
% 0.56/0.80 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.56/0.80 thf(rotate_type, type, rotate: $i > $i).
% 0.56/0.80 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.56/0.80 thf(regular_type, type, regular: $i > $i).
% 0.56/0.80 thf(union, axiom,
% 0.56/0.80 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 0.56/0.80 ( union @ X @ Y ))).
% 0.56/0.80 thf(zip_derived_cl25, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 0.56/0.80 = (union @ X0 @ X1))),
% 0.56/0.80 inference('cnf', [status(esa)], [union])).
% 0.56/0.80 thf(complement1, axiom,
% 0.56/0.80 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.56/0.80 thf(zip_derived_cl23, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.56/0.80 inference('cnf', [status(esa)], [complement1])).
% 0.56/0.80 thf(zip_derived_cl530, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.80 (~ (member @ X2 @ (union @ X1 @ X0))
% 0.56/0.80 | ~ (member @ X2 @
% 0.56/0.80 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl23])).
% 0.56/0.80 thf(prove_corollary_to_unordered_pair_axiom1_2, conjecture,
% 0.56/0.80 (( unordered_pair @ x @ y ) != ( null_class ))).
% 0.56/0.80 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.80 (( unordered_pair @ x @ y ) = ( null_class )),
% 0.56/0.80 inference('cnf.neg', [status(esa)],
% 0.56/0.80 [prove_corollary_to_unordered_pair_axiom1_2])).
% 0.56/0.80 thf(zip_derived_cl92, plain, (((unordered_pair @ x @ y) = (null_class))),
% 0.56/0.80 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.80 thf(unordered_pair2, axiom,
% 0.56/0.80 (( ~( member @ X @ universal_class ) ) |
% 0.56/0.80 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.56/0.80 thf(zip_derived_cl8, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (member @ X0 @ universal_class)
% 0.56/0.80 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.56/0.80 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.56/0.80 thf(zip_derived_cl449, plain,
% 0.56/0.80 ((~ (member @ x @ universal_class) | (member @ x @ null_class))),
% 0.56/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl92, zip_derived_cl8])).
% 0.56/0.80 thf(prove_corollary_to_unordered_pair_axiom1_1, conjecture,
% 0.56/0.80 (~( member @ x @ universal_class ))).
% 0.56/0.80 thf(zf_stmt_1, negated_conjecture, (member @ x @ universal_class),
% 0.56/0.80 inference('cnf.neg', [status(esa)],
% 0.56/0.80 [prove_corollary_to_unordered_pair_axiom1_1])).
% 0.56/0.80 thf(zip_derived_cl91, plain, ( (member @ x @ universal_class)),
% 0.56/0.80 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.80 thf(zip_derived_cl450, plain, ( (member @ x @ null_class)),
% 0.56/0.80 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl91])).
% 0.56/0.80 thf(zip_derived_cl450, plain, ( (member @ x @ null_class)),
% 0.56/0.80 inference('demod', [status(thm)], [zip_derived_cl449, zip_derived_cl91])).
% 0.56/0.80 thf(regularity2, axiom,
% 0.56/0.80 (( ( X ) = ( null_class ) ) |
% 0.56/0.80 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.56/0.80 thf(zip_derived_cl66, plain,
% 0.56/0.80 (![X0 : $i]:
% 0.56/0.80 (((X0) = (null_class))
% 0.56/0.80 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.56/0.80 inference('cnf', [status(esa)], [regularity2])).
% 0.56/0.80 thf(intersection1, axiom,
% 0.56/0.80 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.56/0.80 thf(zip_derived_cl20, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.80 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.56/0.80 inference('cnf', [status(esa)], [intersection1])).
% 0.56/0.80 thf(zip_derived_cl536, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (((X0) = (null_class))
% 0.56/0.80 | ~ (member @ X1 @ null_class)
% 0.56/0.80 | (member @ X1 @ X0))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl66, zip_derived_cl20])).
% 0.56/0.80 thf(zip_derived_cl560, plain,
% 0.56/0.80 (![X0 : $i]: (((X0) = (null_class)) | (member @ x @ X0))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl536])).
% 0.56/0.80 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.56/0.80 thf(zip_derived_cl11, plain,
% 0.56/0.80 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [singleton_set])).
% 0.56/0.80 thf(unordered_pair_member, axiom,
% 0.56/0.80 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.56/0.80 ( ( U ) = ( Y ) ))).
% 0.56/0.80 thf(zip_derived_cl7, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.80 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.56/0.80 | ((X0) = (X1))
% 0.56/0.80 | ((X0) = (X2)))),
% 0.56/0.80 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.56/0.80 thf(zip_derived_cl439, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.56/0.80 thf(zip_derived_cl441, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl439])).
% 0.56/0.80 thf(zip_derived_cl564, plain,
% 0.56/0.80 (![X0 : $i]: (((singleton @ X0) = (null_class)) | ((x) = (X0)))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl560, zip_derived_cl441])).
% 0.56/0.80 thf(zip_derived_cl441, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl439])).
% 0.56/0.80 thf(zip_derived_cl576, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (((x) = (X0)) | ((X1) = (X0)) | ~ (member @ X1 @ null_class))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl441])).
% 0.56/0.80 thf(zip_derived_cl596, plain, (![X0 : $i]: (((x) = (X0)) | ((x) = (X0)))),
% 0.56/0.80 inference('s_sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl576])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl657, plain,
% 0.56/0.80 (![X2 : $i]: (~ (member @ X2 @ x) | ~ (member @ X2 @ x))),
% 0.56/0.80 inference('demod', [status(thm)],
% 0.56/0.80 [zip_derived_cl530, zip_derived_cl598, zip_derived_cl598,
% 0.56/0.80 zip_derived_cl598, zip_derived_cl598])).
% 0.56/0.80 thf(zip_derived_cl658, plain, (![X2 : $i]: ~ (member @ X2 @ x)),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl657])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(rotate2, axiom,
% 0.56/0.80 (( ~( member @
% 0.56/0.80 ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) |
% 0.56/0.80 ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ))).
% 0.56/0.80 thf(zip_derived_cl32, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.80 (~ (member @ (ordered_pair @ (ordered_pair @ X0 @ X1) @ X2) @
% 0.56/0.80 (rotate @ X3))
% 0.56/0.80 | (member @ (ordered_pair @ (ordered_pair @ X1 @ X2) @ X0) @ X3))),
% 0.56/0.80 inference('cnf', [status(esa)], [rotate2])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(ordered_pair, axiom,
% 0.56/0.80 (( unordered_pair @
% 0.56/0.80 ( singleton @ X ) @ ( unordered_pair @ X @ ( singleton @ Y ) ) ) =
% 0.56/0.80 ( ordered_pair @ X @ Y ))).
% 0.56/0.80 thf(zip_derived_cl12, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 ((unordered_pair @ (singleton @ X0) @
% 0.56/0.80 (unordered_pair @ X0 @ (singleton @ X1))) = (ordered_pair @ X0 @ X1))),
% 0.56/0.80 inference('cnf', [status(esa)], [ordered_pair])).
% 0.56/0.80 thf(zip_derived_cl8, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (member @ X0 @ universal_class)
% 0.56/0.80 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.56/0.80 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.56/0.80 thf(zip_derived_cl462, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (~ (member @ (singleton @ X1) @ universal_class)
% 0.56/0.80 | (member @ (singleton @ X1) @ (ordered_pair @ X1 @ X0)))),
% 0.56/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl8])).
% 0.56/0.80 thf(zip_derived_cl11, plain,
% 0.56/0.80 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.56/0.80 inference('cnf', [status(esa)], [singleton_set])).
% 0.56/0.80 thf(unordered_pairs_in_universal, axiom,
% 0.56/0.80 (member @ ( unordered_pair @ X @ Y ) @ universal_class)).
% 0.56/0.80 thf(zip_derived_cl10, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 0.56/0.80 inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 0.56/0.80 thf(zip_derived_cl431, plain,
% 0.56/0.80 (![X0 : $i]: (member @ (singleton @ X0) @ universal_class)),
% 0.56/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl10])).
% 0.56/0.80 thf(zip_derived_cl466, plain,
% 0.56/0.80 (![X0 : $i, X1 : $i]:
% 0.56/0.80 (member @ (singleton @ X1) @ (ordered_pair @ X1 @ X0))),
% 0.56/0.80 inference('demod', [status(thm)], [zip_derived_cl462, zip_derived_cl431])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl675, plain, ( (member @ x @ x)),
% 0.56/0.80 inference('demod', [status(thm)],
% 0.56/0.80 [zip_derived_cl466, zip_derived_cl598, zip_derived_cl598])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl598, plain, (![X0 : $i]: ((x) = (X0))),
% 0.56/0.80 inference('simplify', [status(thm)], [zip_derived_cl596])).
% 0.56/0.80 thf(zip_derived_cl681, plain, (![X3 : $i]: (member @ x @ X3)),
% 0.56/0.80 inference('demod', [status(thm)],
% 0.56/0.80 [zip_derived_cl32, zip_derived_cl598, zip_derived_cl598,
% 0.56/0.80 zip_derived_cl598, zip_derived_cl675, zip_derived_cl598,
% 0.56/0.80 zip_derived_cl598])).
% 0.56/0.80 thf(zip_derived_cl685, plain, (![X0 : $i, X1 : $i]: (member @ X0 @ X1)),
% 0.56/0.80 inference('s_sup+', [status(thm)], [zip_derived_cl598, zip_derived_cl681])).
% 0.56/0.80 thf(zip_derived_cl692, plain, ($false),
% 0.56/0.80 inference('demod', [status(thm)], [zip_derived_cl658, zip_derived_cl685])).
% 0.56/0.80
% 0.56/0.80 % SZS output end Refutation
% 0.56/0.80
% 0.56/0.80
% 0.56/0.80 % Terminating...
% 1.63/1.01 % Runner terminated.
% 1.63/1.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------