TSTP Solution File: SET507-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET507-6 : 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.v291x1xB51 true
% Computer : n012.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 16:14:27 EDT 2023
% Result : Unsatisfiable 0.19s 0.78s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET507-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.v291x1xB51 true
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 11:58:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % Running portfolio for 300 s
% 0.12/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Number of cores: 8
% 0.12/0.34 % Python version: Python 3.6.8
% 0.12/0.35 % Running in FO mode
% 0.19/0.64 % Total configuration time : 435
% 0.19/0.64 % Estimated wc time : 1092
% 0.19/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.78 % Solved by fo/fo6_bce.sh.
% 0.19/0.78 % BCE start: 113
% 0.19/0.78 % BCE eliminated: 1
% 0.19/0.78 % PE start: 112
% 0.19/0.78 logic: eq
% 0.19/0.78 % PE eliminated: 19
% 0.19/0.78 % done 175 iterations in 0.072s
% 0.19/0.78 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.19/0.78 % SZS output start Refutation
% 0.19/0.78 thf(universal_class_type, type, universal_class: $i).
% 0.19/0.78 thf(null_class_type, type, null_class: $i).
% 0.19/0.78 thf(image_type, type, image: $i > $i > $i).
% 0.19/0.78 thf(member_type, type, member: $i > $i > $o).
% 0.19/0.78 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.19/0.78 thf(complement_type, type, complement: $i > $i).
% 0.19/0.78 thf(compose_type, type, compose: $i > $i > $i).
% 0.19/0.78 thf(singleton_type, type, singleton: $i > $i).
% 0.19/0.78 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.19/0.78 thf(rotate_type, type, rotate: $i > $i).
% 0.19/0.78 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.19/0.78 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.19/0.78 thf(inductive_type, type, inductive: $i > $o).
% 0.19/0.78 thf(omega_type, type, omega: $i).
% 0.19/0.78 thf(regular_type, type, regular: $i > $i).
% 0.19/0.78 thf(compose2, axiom,
% 0.19/0.78 (( ~( member @ ( ordered_pair @ Y @ Z ) @ ( compose @ Yr @ Xr ) ) ) |
% 0.19/0.78 ( member @ Z @ ( image @ Yr @ ( image @ Xr @ ( singleton @ Y ) ) ) ))).
% 0.19/0.78 thf(zip_derived_cl57, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.78 (~ (member @ (ordered_pair @ X0 @ X1) @ (compose @ X2 @ X3))
% 0.19/0.78 | (member @ X1 @ (image @ X2 @ (image @ X3 @ (singleton @ X0)))))),
% 0.19/0.78 inference('cnf', [status(esa)], [compose2])).
% 0.19/0.78 thf(omega_is_inductive1, axiom, (inductive @ omega)).
% 0.19/0.78 thf(zip_derived_cl49, plain, ( (inductive @ omega)),
% 0.19/0.78 inference('cnf', [status(esa)], [omega_is_inductive1])).
% 0.19/0.78 thf(inductive1, axiom,
% 0.19/0.78 (( ~( inductive @ X ) ) | ( member @ null_class @ X ))).
% 0.19/0.78 thf(zip_derived_cl46, plain,
% 0.19/0.78 (![X0 : $i]: (~ (inductive @ X0) | (member @ null_class @ X0))),
% 0.19/0.78 inference('cnf', [status(esa)], [inductive1])).
% 0.19/0.78 thf(zip_derived_cl473, plain, ( (member @ null_class @ omega)),
% 0.19/0.78 inference('dp-resolution', [status(thm)],
% 0.19/0.78 [zip_derived_cl49, zip_derived_cl46])).
% 0.19/0.78 thf(prove_universal_class_not_subclass_of_null_class_1, conjecture,
% 0.19/0.78 (~( subclass @ universal_class @ null_class ))).
% 0.19/0.78 thf(zf_stmt_0, negated_conjecture, (subclass @ universal_class @ null_class),
% 0.19/0.78 inference('cnf.neg', [status(esa)],
% 0.19/0.78 [prove_universal_class_not_subclass_of_null_class_1])).
% 0.19/0.78 thf(zip_derived_cl112, plain, ( (subclass @ universal_class @ null_class)),
% 0.19/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.19/0.78 thf(subclass_implies_equal, axiom,
% 0.19/0.78 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.19/0.78 thf(zip_derived_cl6, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 0.19/0.78 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 0.19/0.78 thf(zip_derived_cl506, plain,
% 0.19/0.78 ((~ (subclass @ null_class @ universal_class)
% 0.19/0.78 | ((universal_class) = (null_class)))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl6])).
% 0.19/0.78 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.19/0.78 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.19/0.78 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.19/0.78 thf(zip_derived_cl511, plain, (((universal_class) = (null_class))),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl506, zip_derived_cl3])).
% 0.19/0.78 thf(zip_derived_cl516, plain, ( (member @ universal_class @ omega)),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl473, zip_derived_cl511])).
% 0.19/0.78 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.19/0.78 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.19/0.78 thf(subclass_members, axiom,
% 0.19/0.78 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.19/0.78 thf(zip_derived_cl0, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.78 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.19/0.78 inference('cnf', [status(esa)], [subclass_members])).
% 0.19/0.78 thf(zip_derived_cl496, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.19/0.78 thf(zip_derived_cl564, plain,
% 0.19/0.78 ( (member @ universal_class @ universal_class)),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl496])).
% 0.19/0.78 thf(zip_derived_cl564, plain,
% 0.19/0.78 ( (member @ universal_class @ universal_class)),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl496])).
% 0.19/0.78 thf(regularity2, axiom,
% 0.19/0.78 (( ( X ) = ( null_class ) ) |
% 0.19/0.78 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.19/0.78 thf(zip_derived_cl66, plain,
% 0.19/0.78 (![X0 : $i]:
% 0.19/0.78 (((X0) = (null_class))
% 0.19/0.78 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.19/0.78 inference('cnf', [status(esa)], [regularity2])).
% 0.19/0.78 thf(zip_derived_cl511, plain, (((universal_class) = (null_class))),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl506, zip_derived_cl3])).
% 0.19/0.78 thf(zip_derived_cl511, plain, (((universal_class) = (null_class))),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl506, zip_derived_cl3])).
% 0.19/0.78 thf(zip_derived_cl573, plain,
% 0.19/0.78 (![X0 : $i]:
% 0.19/0.78 (((X0) = (universal_class))
% 0.19/0.78 | ((intersection @ X0 @ (regular @ X0)) = (universal_class)))),
% 0.19/0.78 inference('demod', [status(thm)],
% 0.19/0.78 [zip_derived_cl66, zip_derived_cl511, zip_derived_cl511])).
% 0.19/0.78 thf(intersection1, axiom,
% 0.19/0.78 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.19/0.78 thf(zip_derived_cl20, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.78 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.19/0.78 inference('cnf', [status(esa)], [intersection1])).
% 0.19/0.78 thf(zip_derived_cl574, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (((X0) = (universal_class))
% 0.19/0.78 | ~ (member @ X1 @ universal_class)
% 0.19/0.78 | (member @ X1 @ X0))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl573, zip_derived_cl20])).
% 0.19/0.78 thf(zip_derived_cl590, plain,
% 0.19/0.78 (![X0 : $i]:
% 0.19/0.78 (((X0) = (universal_class)) | (member @ universal_class @ X0))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl574])).
% 0.19/0.78 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.19/0.78 thf(zip_derived_cl11, plain,
% 0.19/0.78 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.19/0.78 inference('cnf', [status(esa)], [singleton_set])).
% 0.19/0.78 thf(unordered_pair_member, axiom,
% 0.19/0.78 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.19/0.78 ( ( U ) = ( Y ) ))).
% 0.19/0.78 thf(zip_derived_cl7, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.19/0.78 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.19/0.78 | ((X0) = (X1))
% 0.19/0.78 | ((X0) = (X2)))),
% 0.19/0.78 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.19/0.78 thf(zip_derived_cl518, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.19/0.78 thf(zip_derived_cl519, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl518])).
% 0.19/0.78 thf(zip_derived_cl599, plain,
% 0.19/0.78 (![X0 : $i]:
% 0.19/0.78 (((singleton @ X0) = (universal_class)) | ((universal_class) = (X0)))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl590, zip_derived_cl519])).
% 0.19/0.78 thf(zip_derived_cl519, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl518])).
% 0.19/0.78 thf(zip_derived_cl608, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (((universal_class) = (X0))
% 0.19/0.78 | ((X1) = (X0))
% 0.19/0.78 | ~ (member @ X1 @ universal_class))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl599, zip_derived_cl519])).
% 0.19/0.78 thf(zip_derived_cl656, plain,
% 0.19/0.78 (![X0 : $i]: (((universal_class) = (X0)) | ((universal_class) = (X0)))),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl608])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(rotate2, axiom,
% 0.19/0.78 (( ~( member @
% 0.19/0.78 ( ordered_pair @ ( ordered_pair @ U @ V ) @ W ) @ ( rotate @ X ) ) ) |
% 0.19/0.78 ( member @ ( ordered_pair @ ( ordered_pair @ V @ W ) @ U ) @ X ))).
% 0.19/0.78 thf(zip_derived_cl32, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.19/0.78 (~ (member @ (ordered_pair @ (ordered_pair @ X0 @ X1) @ X2) @
% 0.19/0.78 (rotate @ X3))
% 0.19/0.78 | (member @ (ordered_pair @ (ordered_pair @ X1 @ X2) @ X0) @ X3))),
% 0.19/0.78 inference('cnf', [status(esa)], [rotate2])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl564, plain,
% 0.19/0.78 ( (member @ universal_class @ universal_class)),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl516, zip_derived_cl496])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl738, plain, (![X3 : $i]: (member @ universal_class @ X3)),
% 0.19/0.78 inference('demod', [status(thm)],
% 0.19/0.78 [zip_derived_cl32, zip_derived_cl662, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl662, zip_derived_cl564, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl662])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl765, plain, (![X1 : $i]: (member @ X1 @ universal_class)),
% 0.19/0.78 inference('demod', [status(thm)],
% 0.19/0.78 [zip_derived_cl57, zip_derived_cl662, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl738, zip_derived_cl662, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl662])).
% 0.19/0.78 thf(complement1, axiom,
% 0.19/0.78 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.19/0.78 thf(zip_derived_cl23, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.19/0.78 inference('cnf', [status(esa)], [complement1])).
% 0.19/0.78 thf(zip_derived_cl662, plain, (![X0 : $i]: ((universal_class) = (X0))),
% 0.19/0.78 inference('simplify', [status(thm)], [zip_derived_cl656])).
% 0.19/0.78 thf(zip_derived_cl681, plain,
% 0.19/0.78 (![X0 : $i, X1 : $i]:
% 0.19/0.78 (~ (member @ X0 @ universal_class) | ~ (member @ X0 @ X1))),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl23, zip_derived_cl662])).
% 0.19/0.78 thf(zip_derived_cl765, plain, (![X1 : $i]: (member @ X1 @ universal_class)),
% 0.19/0.78 inference('demod', [status(thm)],
% 0.19/0.78 [zip_derived_cl57, zip_derived_cl662, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl738, zip_derived_cl662, zip_derived_cl662,
% 0.19/0.78 zip_derived_cl662])).
% 0.19/0.78 thf(zip_derived_cl800, plain, (![X0 : $i, X1 : $i]: ~ (member @ X0 @ X1)),
% 0.19/0.78 inference('demod', [status(thm)], [zip_derived_cl681, zip_derived_cl765])).
% 0.19/0.78 thf(zip_derived_cl801, plain, ($false),
% 0.19/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl765, zip_derived_cl800])).
% 0.19/0.78
% 0.19/0.78 % SZS output end Refutation
% 0.19/0.78
% 0.19/0.78
% 0.19/0.78 % Terminating...
% 1.59/0.85 % Runner terminated.
% 1.59/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------