TSTP Solution File: SET382-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET382-6 : 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.4N3XnnKr8G true
% Computer : n029.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 16:14:01 EDT 2023
% Result : Unsatisfiable 11.00s 2.28s
% Output : Refutation 11.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET382-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4N3XnnKr8G true
% 0.15/0.37 % Computer : n029.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Sat Aug 26 15:49:25 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.38 % Running in FO mode
% 0.23/0.67 % Total configuration time : 435
% 0.23/0.67 % Estimated wc time : 1092
% 0.23/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.23/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 11.00/2.28 % Solved by fo/fo13.sh.
% 11.00/2.28 % done 1477 iterations in 1.467s
% 11.00/2.28 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 11.00/2.28 % SZS output start Refutation
% 11.00/2.28 thf(universal_class_type, type, universal_class: $i).
% 11.00/2.28 thf(member_type, type, member: $i > $i > $o).
% 11.00/2.28 thf(x_type, type, x: $i).
% 11.00/2.28 thf(intersection_type, type, intersection: $i > $i > $i).
% 11.00/2.28 thf(subclass_type, type, subclass: $i > $i > $o).
% 11.00/2.28 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 11.00/2.28 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 11.00/2.28 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 11.00/2.28 thf(not_subclass_members1, axiom,
% 11.00/2.28 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 11.00/2.28 thf(zip_derived_cl1, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 11.00/2.28 | (subclass @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [not_subclass_members1])).
% 11.00/2.28 thf(prove_corollary_1_to_relation_property2_1, conjecture,
% 11.00/2.28 (~( subclass @ x @ ( cross_product @ universal_class @ universal_class ) ))).
% 11.00/2.28 thf(zf_stmt_0, negated_conjecture,
% 11.00/2.28 (subclass @ x @ ( cross_product @ universal_class @ universal_class )),
% 11.00/2.28 inference('cnf.neg', [status(esa)],
% 11.00/2.28 [prove_corollary_1_to_relation_property2_1])).
% 11.00/2.28 thf(zip_derived_cl112, plain,
% 11.00/2.28 ( (subclass @ x @ (cross_product @ universal_class @ universal_class))),
% 11.00/2.28 inference('cnf', [status(esa)], [zf_stmt_0])).
% 11.00/2.28 thf(subclass_members, axiom,
% 11.00/2.28 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 11.00/2.28 thf(zip_derived_cl0, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [subclass_members])).
% 11.00/2.28 thf(zip_derived_cl133, plain,
% 11.00/2.28 (![X0 : $i]:
% 11.00/2.28 (~ (member @ X0 @ x)
% 11.00/2.28 | (member @ X0 @ (cross_product @ universal_class @ universal_class)))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl0])).
% 11.00/2.28 thf(zip_derived_cl272, plain,
% 11.00/2.28 (![X0 : $i]:
% 11.00/2.28 ( (subclass @ x @ X0)
% 11.00/2.28 | (member @ (not_subclass_element @ x @ X0) @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl133])).
% 11.00/2.28 thf(zip_derived_cl1, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 11.00/2.28 | (subclass @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [not_subclass_members1])).
% 11.00/2.28 thf(intersection3, axiom,
% 11.00/2.28 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 11.00/2.28 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 11.00/2.28 thf(zip_derived_cl22, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 (~ (member @ X0 @ X1)
% 11.00/2.28 | ~ (member @ X0 @ X2)
% 11.00/2.28 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 11.00/2.28 inference('cnf', [status(esa)], [intersection3])).
% 11.00/2.28 thf(zip_derived_cl369, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 ( (subclass @ X0 @ X1)
% 11.00/2.28 | ~ (member @ (not_subclass_element @ X0 @ X1) @ X2)
% 11.00/2.28 | (member @ (not_subclass_element @ X0 @ X1) @
% 11.00/2.28 (intersection @ X0 @ X2)))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl22])).
% 11.00/2.28 thf(zip_derived_cl8295, plain,
% 11.00/2.28 (![X0 : $i]:
% 11.00/2.28 ( (subclass @ x @ X0)
% 11.00/2.28 | (subclass @ x @ X0)
% 11.00/2.28 | (member @ (not_subclass_element @ x @ X0) @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class))))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl272, zip_derived_cl369])).
% 11.00/2.28 thf(zip_derived_cl8332, plain,
% 11.00/2.28 (![X0 : $i]:
% 11.00/2.28 ( (member @ (not_subclass_element @ x @ X0) @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)))
% 11.00/2.28 | (subclass @ x @ X0))),
% 11.00/2.28 inference('simplify', [status(thm)], [zip_derived_cl8295])).
% 11.00/2.28 thf(not_subclass_members2, axiom,
% 11.00/2.28 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 11.00/2.28 ( subclass @ X @ Y ))).
% 11.00/2.28 thf(zip_derived_cl2, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 11.00/2.28 | (subclass @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [not_subclass_members2])).
% 11.00/2.28 thf(zip_derived_cl8380, plain,
% 11.00/2.28 (( (subclass @ x @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)))
% 11.00/2.28 | (subclass @ x @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class))))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl8332, zip_derived_cl2])).
% 11.00/2.28 thf(zip_derived_cl8382, plain,
% 11.00/2.28 ( (subclass @ x @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)))),
% 11.00/2.28 inference('simplify', [status(thm)], [zip_derived_cl8380])).
% 11.00/2.28 thf(subclass_implies_equal, axiom,
% 11.00/2.28 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 11.00/2.28 thf(zip_derived_cl6, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 11.00/2.28 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 11.00/2.28 thf(zip_derived_cl8385, plain,
% 11.00/2.28 ((~ (subclass @
% 11.00/2.28 (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)) @
% 11.00/2.28 x)
% 11.00/2.28 | ((x)
% 11.00/2.28 = (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class))))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl8382, zip_derived_cl6])).
% 11.00/2.28 thf(zip_derived_cl1, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 11.00/2.28 | (subclass @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [not_subclass_members1])).
% 11.00/2.28 thf(intersection1, axiom,
% 11.00/2.28 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 11.00/2.28 thf(zip_derived_cl20, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [intersection1])).
% 11.00/2.28 thf(zip_derived_cl183, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 11.00/2.28 | (member @
% 11.00/2.28 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 11.00/2.28 thf(zip_derived_cl2, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 11.00/2.28 | (subclass @ X0 @ X1))),
% 11.00/2.28 inference('cnf', [status(esa)], [not_subclass_members2])).
% 11.00/2.28 thf(zip_derived_cl2590, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]:
% 11.00/2.28 ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 11.00/2.28 | (subclass @ (intersection @ X0 @ X1) @ X0))),
% 11.00/2.28 inference('s_sup-', [status(thm)], [zip_derived_cl183, zip_derived_cl2])).
% 11.00/2.28 thf(zip_derived_cl2602, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X0 @ X1) @ X0)),
% 11.00/2.28 inference('simplify', [status(thm)], [zip_derived_cl2590])).
% 11.00/2.28 thf(zip_derived_cl8386, plain,
% 11.00/2.28 (((x)
% 11.00/2.28 = (intersection @ x @
% 11.00/2.28 (cross_product @ universal_class @ universal_class)))),
% 11.00/2.28 inference('demod', [status(thm)],
% 11.00/2.28 [zip_derived_cl8385, zip_derived_cl2602])).
% 11.00/2.28 thf(prove_corollary_1_to_relation_property2_2, conjecture,
% 11.00/2.28 (( restrict @ x @ universal_class @ universal_class ) = ( x ))).
% 11.00/2.28 thf(zf_stmt_1, negated_conjecture,
% 11.00/2.28 (( restrict @ x @ universal_class @ universal_class ) != ( x )),
% 11.00/2.28 inference('cnf.neg', [status(esa)],
% 11.00/2.28 [prove_corollary_1_to_relation_property2_2])).
% 11.00/2.28 thf(zip_derived_cl113, plain,
% 11.00/2.28 (((restrict @ x @ universal_class @ universal_class) != (x))),
% 11.00/2.28 inference('cnf', [status(esa)], [zf_stmt_1])).
% 11.00/2.28 thf(restriction1, axiom,
% 11.00/2.28 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 11.00/2.28 ( restrict @ Xr @ X @ Y ))).
% 11.00/2.28 thf(zip_derived_cl27, plain,
% 11.00/2.28 (![X0 : $i, X1 : $i, X2 : $i]:
% 11.00/2.28 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 11.00/2.28 = (restrict @ X0 @ X1 @ X2))),
% 11.00/2.28 inference('cnf', [status(esa)], [restriction1])).
% 11.00/2.28 thf(zip_derived_cl118, plain,
% 11.00/2.28 (((intersection @ x @ (cross_product @ universal_class @ universal_class))
% 11.00/2.28 != (x))),
% 11.00/2.28 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl27])).
% 11.00/2.28 thf(zip_derived_cl8387, plain, ($false),
% 11.00/2.28 inference('simplify_reflect-', [status(thm)],
% 11.00/2.28 [zip_derived_cl8386, zip_derived_cl118])).
% 11.00/2.28
% 11.00/2.28 % SZS output end Refutation
% 11.00/2.28
% 11.00/2.28
% 11.00/2.28 % Terminating...
% 11.00/2.41 % Runner terminated.
% 11.00/2.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------