TSTP Solution File: SET191-6 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET191-6 : 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.FJR3Uzrqpu true
% Computer : n004.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 16:13:21 EDT 2023
% Result : Unsatisfiable 1.36s 0.96s
% Output : Refutation 1.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET191-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.FJR3Uzrqpu true
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sat Aug 26 14:49:22 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.68 % Total configuration time : 435
% 0.22/0.68 % Estimated wc time : 1092
% 0.22/0.68 % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.98/0.77 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.98/0.77 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.98/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.98/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.98/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.36/0.96 % Solved by fo/fo6_bce.sh.
% 1.36/0.96 % BCE start: 114
% 1.36/0.96 % BCE eliminated: 1
% 1.36/0.96 % PE start: 113
% 1.36/0.96 logic: eq
% 1.36/0.96 % PE eliminated: 19
% 1.36/0.96 % done 272 iterations in 0.193s
% 1.36/0.96 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.36/0.96 % SZS output start Refutation
% 1.36/0.96 thf(universal_class_type, type, universal_class: $i).
% 1.36/0.96 thf(union_type, type, union: $i > $i > $i).
% 1.36/0.96 thf(member_type, type, member: $i > $i > $o).
% 1.36/0.96 thf(x_type, type, x: $i).
% 1.36/0.96 thf(complement_type, type, complement: $i > $i).
% 1.36/0.96 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.36/0.96 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.36/0.96 thf(y_type, type, y: $i).
% 1.36/0.96 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.36/0.96 thf(prove_subclass_property8_2, conjecture, (subclass @ x @ y)).
% 1.36/0.96 thf(zf_stmt_0, negated_conjecture, (~( subclass @ x @ y )),
% 1.36/0.96 inference('cnf.neg', [status(esa)], [prove_subclass_property8_2])).
% 1.36/0.96 thf(zip_derived_cl113, plain, (~ (subclass @ x @ y)),
% 1.36/0.96 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.36/0.96 thf(not_subclass_members1, axiom,
% 1.36/0.96 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.36/0.96 thf(zip_derived_cl1, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.36/0.96 | (subclass @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.36/0.96 thf(complement2, axiom,
% 1.36/0.96 (( ~( member @ Z @ universal_class ) ) |
% 1.36/0.96 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.36/0.96 thf(zip_derived_cl24, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X0 @ universal_class)
% 1.36/0.96 | (member @ X0 @ (complement @ X1))
% 1.36/0.96 | (member @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [complement2])).
% 1.36/0.96 thf(zip_derived_cl24, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X0 @ universal_class)
% 1.36/0.96 | (member @ X0 @ (complement @ X1))
% 1.36/0.96 | (member @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [complement2])).
% 1.36/0.96 thf(intersection3, axiom,
% 1.36/0.96 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 1.36/0.96 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 1.36/0.96 thf(zip_derived_cl22, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.96 (~ (member @ X0 @ X1)
% 1.36/0.96 | ~ (member @ X0 @ X2)
% 1.36/0.96 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 1.36/0.96 inference('cnf', [status(esa)], [intersection3])).
% 1.36/0.96 thf(prove_subclass_property8_1, conjecture,
% 1.36/0.96 (( union @ ( complement @ x ) @ y ) != ( universal_class ))).
% 1.36/0.96 thf(zf_stmt_1, negated_conjecture,
% 1.36/0.96 (( union @ ( complement @ x ) @ y ) = ( universal_class )),
% 1.36/0.96 inference('cnf.neg', [status(esa)], [prove_subclass_property8_1])).
% 1.36/0.96 thf(zip_derived_cl112, plain,
% 1.36/0.96 (((union @ (complement @ x) @ y) = (universal_class))),
% 1.36/0.96 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.36/0.96 thf(union, axiom,
% 1.36/0.96 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 1.36/0.96 ( union @ X @ Y ))).
% 1.36/0.96 thf(zip_derived_cl25, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 1.36/0.96 = (union @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [union])).
% 1.36/0.96 thf(complement1, axiom,
% 1.36/0.96 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.36/0.96 thf(zip_derived_cl23, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [complement1])).
% 1.36/0.96 thf(zip_derived_cl564, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.96 (~ (member @ X2 @ (union @ X1 @ X0))
% 1.36/0.96 | ~ (member @ X2 @
% 1.36/0.96 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl23])).
% 1.36/0.96 thf(zip_derived_cl582, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 (~ (member @ X0 @ universal_class)
% 1.36/0.96 | ~ (member @ X0 @
% 1.36/0.96 (intersection @ (complement @ (complement @ x)) @
% 1.36/0.96 (complement @ y))))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl564])).
% 1.36/0.96 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.36/0.96 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.36/0.96 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.36/0.96 thf(subclass_members, axiom,
% 1.36/0.96 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.36/0.96 thf(zip_derived_cl0, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.36/0.96 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [subclass_members])).
% 1.36/0.96 thf(zip_derived_cl495, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.36/0.96 thf(zip_derived_cl590, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 ~ (member @ X0 @
% 1.36/0.96 (intersection @ (complement @ (complement @ x)) @ (complement @ y)))),
% 1.36/0.96 inference('clc', [status(thm)], [zip_derived_cl582, zip_derived_cl495])).
% 1.36/0.96 thf(zip_derived_cl591, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 (~ (member @ X0 @ (complement @ y))
% 1.36/0.96 | ~ (member @ X0 @ (complement @ (complement @ x))))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl590])).
% 1.36/0.96 thf(zip_derived_cl600, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 ( (member @ X0 @ y)
% 1.36/0.96 | ~ (member @ X0 @ universal_class)
% 1.36/0.96 | ~ (member @ X0 @ (complement @ (complement @ x))))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl591])).
% 1.36/0.96 thf(zip_derived_cl495, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.36/0.96 thf(zip_derived_cl635, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 (~ (member @ X0 @ (complement @ (complement @ x)))
% 1.36/0.96 | (member @ X0 @ y))),
% 1.36/0.96 inference('clc', [status(thm)], [zip_derived_cl600, zip_derived_cl495])).
% 1.36/0.96 thf(zip_derived_cl636, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 ( (member @ X0 @ (complement @ x))
% 1.36/0.96 | ~ (member @ X0 @ universal_class)
% 1.36/0.96 | (member @ X0 @ y))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl635])).
% 1.36/0.96 thf(zip_derived_cl23, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [complement1])).
% 1.36/0.96 thf(zip_derived_cl1114, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 ( (member @ X0 @ y)
% 1.36/0.96 | ~ (member @ X0 @ universal_class)
% 1.36/0.96 | ~ (member @ X0 @ x))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl636, zip_derived_cl23])).
% 1.36/0.96 thf(zip_derived_cl495, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.36/0.96 thf(zip_derived_cl1264, plain,
% 1.36/0.96 (![X0 : $i]: (~ (member @ X0 @ x) | (member @ X0 @ y))),
% 1.36/0.96 inference('clc', [status(thm)], [zip_derived_cl1114, zip_derived_cl495])).
% 1.36/0.96 thf(not_subclass_members2, axiom,
% 1.36/0.96 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.36/0.96 ( subclass @ X @ Y ))).
% 1.36/0.96 thf(zip_derived_cl2, plain,
% 1.36/0.96 (![X0 : $i, X1 : $i]:
% 1.36/0.96 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.36/0.96 | (subclass @ X0 @ X1))),
% 1.36/0.96 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.36/0.96 thf(zip_derived_cl1266, plain,
% 1.36/0.96 (![X0 : $i]:
% 1.36/0.96 (~ (member @ (not_subclass_element @ X0 @ y) @ x)
% 1.36/0.96 | (subclass @ X0 @ y))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl1264, zip_derived_cl2])).
% 1.36/0.96 thf(zip_derived_cl1271, plain, (( (subclass @ x @ y) | (subclass @ x @ y))),
% 1.36/0.96 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl1266])).
% 1.36/0.96 thf(zip_derived_cl1272, plain, ( (subclass @ x @ y)),
% 1.36/0.96 inference('simplify', [status(thm)], [zip_derived_cl1271])).
% 1.36/0.96 thf(zip_derived_cl1277, plain, ($false),
% 1.36/0.96 inference('demod', [status(thm)], [zip_derived_cl113, zip_derived_cl1272])).
% 1.36/0.96
% 1.36/0.96 % SZS output end Refutation
% 1.36/0.96
% 1.36/0.96
% 1.36/0.96 % Terminating...
% 1.58/1.07 % Runner terminated.
% 1.58/1.08 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------