TSTP Solution File: SET245-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET245-6 : 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.cbU3Zuzp76 true
% Computer : n016.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 16:13:34 EDT 2023
% Result : Unsatisfiable 1.38s 0.96s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET245-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.cbU3Zuzp76 true
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:25:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/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
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.67/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.38/0.96 % Solved by fo/fo6_bce.sh.
% 1.38/0.96 % BCE start: 113
% 1.38/0.96 % BCE eliminated: 1
% 1.38/0.96 % PE start: 112
% 1.38/0.96 logic: eq
% 1.38/0.96 % PE eliminated: 19
% 1.38/0.96 % done 276 iterations in 0.227s
% 1.38/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.96 % SZS output start Refutation
% 1.38/0.96 thf(universal_class_type, type, universal_class: $i).
% 1.38/0.96 thf(null_class_type, type, null_class: $i).
% 1.38/0.96 thf(member_type, type, member: $i > $i > $o).
% 1.38/0.96 thf(x_type, type, x: $i).
% 1.38/0.96 thf(complement_type, type, complement: $i > $i).
% 1.38/0.96 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.38/0.96 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.38/0.96 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 1.38/0.96 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.38/0.96 thf(y_type, type, y: $i).
% 1.38/0.96 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.38/0.96 thf(regular_type, type, regular: $i > $i).
% 1.38/0.96 thf(prove_restriction_with_null_class1_1, conjecture,
% 1.38/0.96 (( restrict @ null_class @ x @ y ) = ( null_class ))).
% 1.38/0.96 thf(zf_stmt_0, negated_conjecture,
% 1.38/0.96 (( restrict @ null_class @ x @ y ) != ( null_class )),
% 1.38/0.96 inference('cnf.neg', [status(esa)], [prove_restriction_with_null_class1_1])).
% 1.38/0.96 thf(zip_derived_cl112, plain,
% 1.38/0.96 (((restrict @ null_class @ x @ y) != (null_class))),
% 1.38/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/0.96 thf(restriction1, axiom,
% 1.38/0.96 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 1.38/0.96 ( restrict @ Xr @ X @ Y ))).
% 1.38/0.96 thf(zip_derived_cl27, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 1.38/0.96 = (restrict @ X0 @ X1 @ X2))),
% 1.38/0.96 inference('cnf', [status(esa)], [restriction1])).
% 1.38/0.96 thf(zip_derived_cl684, plain,
% 1.38/0.96 (((intersection @ null_class @ (cross_product @ x @ y)) != (null_class))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl27])).
% 1.38/0.96 thf(not_subclass_members1, axiom,
% 1.38/0.96 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.38/0.96 thf(zip_derived_cl1, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.38/0.96 | (subclass @ X0 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.38/0.96 thf(intersection1, axiom,
% 1.38/0.96 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.38/0.96 thf(zip_derived_cl20, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [intersection1])).
% 1.38/0.96 thf(zip_derived_cl559, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 1.38/0.96 | (member @
% 1.38/0.96 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 1.38/0.96 thf(regularity1, axiom,
% 1.38/0.96 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.38/0.96 thf(zip_derived_cl65, plain,
% 1.38/0.96 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.38/0.96 inference('cnf', [status(esa)], [regularity1])).
% 1.38/0.96 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.38/0.96 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.38/0.96 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.38/0.96 thf(subclass_members, axiom,
% 1.38/0.96 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.38/0.96 thf(zip_derived_cl0, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.96 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [subclass_members])).
% 1.38/0.96 thf(zip_derived_cl493, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.38/0.96 thf(zip_derived_cl526, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl493])).
% 1.38/0.96 thf(zip_derived_cl65, plain,
% 1.38/0.96 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.38/0.96 inference('cnf', [status(esa)], [regularity1])).
% 1.38/0.96 thf(complement1, axiom,
% 1.38/0.96 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.38/0.96 thf(zip_derived_cl23, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [complement1])).
% 1.38/0.96 thf(zip_derived_cl529, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (((complement @ X0) = (null_class))
% 1.38/0.96 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 1.38/0.96 thf(zip_derived_cl554, plain,
% 1.38/0.96 ((((complement @ universal_class) = (null_class))
% 1.38/0.96 | ((complement @ universal_class) = (null_class)))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl526, zip_derived_cl529])).
% 1.38/0.96 thf(zip_derived_cl555, plain,
% 1.38/0.96 (((complement @ universal_class) = (null_class))),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl554])).
% 1.38/0.96 thf(zip_derived_cl23, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [complement1])).
% 1.38/0.96 thf(zip_derived_cl556, plain,
% 1.38/0.96 (![X0 : $i]:
% 1.38/0.96 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl555, zip_derived_cl23])).
% 1.38/0.96 thf(zip_derived_cl493, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.38/0.96 thf(zip_derived_cl563, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl493])).
% 1.38/0.96 thf(zip_derived_cl1475, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ null_class @ X1) @ X0)),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl559, zip_derived_cl563])).
% 1.38/0.96 thf(zip_derived_cl1, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.38/0.96 | (subclass @ X0 @ X1))),
% 1.38/0.96 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.38/0.96 thf(zip_derived_cl563, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.38/0.96 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl493])).
% 1.38/0.96 thf(zip_derived_cl564, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl563])).
% 1.38/0.96 thf(subclass_implies_equal, axiom,
% 1.38/0.96 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 1.38/0.96 thf(zip_derived_cl6, plain,
% 1.38/0.96 (![X0 : $i, X1 : $i]:
% 1.38/0.96 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 1.38/0.96 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 1.38/0.96 thf(zip_derived_cl572, plain,
% 1.38/0.96 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((null_class) = (X0)))),
% 1.38/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl564, zip_derived_cl6])).
% 1.38/0.96 thf(zip_derived_cl1509, plain,
% 1.38/0.96 (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 1.38/0.96 inference('s_sup-', [status(thm)],
% 1.38/0.96 [zip_derived_cl1475, zip_derived_cl572])).
% 1.38/0.96 thf(zip_derived_cl1512, plain, (((null_class) != (null_class))),
% 1.38/0.96 inference('demod', [status(thm)], [zip_derived_cl684, zip_derived_cl1509])).
% 1.38/0.96 thf(zip_derived_cl1513, plain, ($false),
% 1.38/0.96 inference('simplify', [status(thm)], [zip_derived_cl1512])).
% 1.38/0.96
% 1.38/0.96 % SZS output end Refutation
% 1.38/0.96
% 1.38/0.96
% 1.38/0.96 % Terminating...
% 1.80/1.10 % Runner terminated.
% 1.80/1.10 % Zipperpin 1.5 exiting
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