%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET162-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4i2I2TQ2hA 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 Oct 2 04:51:44 PM UTC 2025
% Result : Unsatisfiable 96.04s 14.26s
% Output : Refutation 96.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SET162-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.04/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.4i2I2TQ2hA true
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 12:58:53 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.30 % Running in FO mode
% 0.15/0.54 % Total configuration time : 435
% 0.15/0.54 % Estimated wc time : 1092
% 0.15/0.54 % Estimated cpu time (7 cpus) : 156.0
% 0.63/0.61 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.63/0.61 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.63/0.61 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.63/0.61 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.09/0.64 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.09/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 96.04/14.26 % Solved by fo/fo6_bce.sh.
% 96.04/14.26 % BCE start: 113
% 96.04/14.26 % BCE eliminated: 1
% 96.04/14.26 % PE start: 112
% 96.04/14.26 logic: eq
% 96.04/14.26 % PE eliminated: 19
% 96.04/14.26 % done 3862 iterations in 13.620s
% 96.04/14.26 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 96.04/14.26 % SZS output start Refutation
% 96.04/14.26 thf(universal_class_type, type, universal_class: $i).
% 96.04/14.26 thf(union_type, type, union: $i > $i > $i).
% 96.04/14.26 thf(null_class_type, type, null_class: $i).
% 96.04/14.26 thf(member_type, type, member: $i > $i > $o).
% 96.04/14.26 thf(x_type, type, x: $i).
% 96.04/14.26 thf(complement_type, type, complement: $i > $i).
% 96.04/14.26 thf(intersection_type, type, intersection: $i > $i > $i).
% 96.04/14.26 thf(subclass_type, type, subclass: $i > $i > $o).
% 96.04/14.26 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 96.04/14.26 thf(regular_type, type, regular: $i > $i).
% 96.04/14.26 thf(prove_union_with_null_class_1, conjecture,
% 96.04/14.26 (( union @ null_class @ x ) = ( x ))).
% 96.04/14.26 thf(zf_stmt_0, negated_conjecture, (( union @ null_class @ x ) != ( x )),
% 96.04/14.26 inference('cnf.neg', [status(esa)], [prove_union_with_null_class_1])).
% 96.04/14.26 thf(zip_derived_cl112, plain, (((union @ null_class @ x) != (x))),
% 96.04/14.26 inference('cnf', [status(esa)], [zf_stmt_0])).
% 96.04/14.26 thf(complement2, axiom,
% 96.04/14.26 (( ~( member @ Z @ universal_class ) ) |
% 96.04/14.26 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 96.04/14.26 thf(zip_derived_cl24, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ universal_class)
% 96.04/14.26 | (member @ X0 @ (complement @ X1))
% 96.04/14.26 | (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement2])).
% 96.04/14.26 thf(not_subclass_members2, axiom,
% 96.04/14.26 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 96.04/14.26 ( subclass @ X @ Y ))).
% 96.04/14.26 thf(zip_derived_cl2, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members2])).
% 96.04/14.26 thf(zip_derived_cl622, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 96.04/14.26 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 96.04/14.26 universal_class)
% 96.04/14.26 | (subclass @ X1 @ (complement @ X0)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 96.04/14.26 thf(not_subclass_members1, axiom,
% 96.04/14.26 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 96.04/14.26 thf(zip_derived_cl1, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members1])).
% 96.04/14.26 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 96.04/14.26 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 96.04/14.26 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 96.04/14.26 thf(subclass_members, axiom,
% 96.04/14.26 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 96.04/14.26 thf(zip_derived_cl0, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 96.04/14.26 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [subclass_members])).
% 96.04/14.26 thf(zip_derived_cl493, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 96.04/14.26 thf(zip_derived_cl510, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ X1)
% 96.04/14.26 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 96.04/14.26 thf(zip_derived_cl2158, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X1 @ (complement @ X0))
% 96.04/14.26 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 96.04/14.26 inference('clc', [status(thm)], [zip_derived_cl622, zip_derived_cl510])).
% 96.04/14.26 thf(regularity1, axiom,
% 96.04/14.26 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 96.04/14.26 thf(zip_derived_cl65, plain,
% 96.04/14.26 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 96.04/14.26 inference('cnf', [status(esa)], [regularity1])).
% 96.04/14.26 thf(zip_derived_cl493, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 96.04/14.26 thf(zip_derived_cl526, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl493])).
% 96.04/14.26 thf(zip_derived_cl65, plain,
% 96.04/14.26 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 96.04/14.26 inference('cnf', [status(esa)], [regularity1])).
% 96.04/14.26 thf(complement1, axiom,
% 96.04/14.26 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 96.04/14.26 thf(zip_derived_cl23, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement1])).
% 96.04/14.26 thf(zip_derived_cl529, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 (((complement @ X0) = (null_class))
% 96.04/14.26 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 96.04/14.26 thf(zip_derived_cl556, plain,
% 96.04/14.26 ((((complement @ universal_class) = (null_class))
% 96.04/14.26 | ((complement @ universal_class) = (null_class)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl526, zip_derived_cl529])).
% 96.04/14.26 thf(zip_derived_cl557, plain,
% 96.04/14.26 (((complement @ universal_class) = (null_class))),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl556])).
% 96.04/14.26 thf(zip_derived_cl23, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement1])).
% 96.04/14.26 thf(zip_derived_cl562, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl23])).
% 96.04/14.26 thf(zip_derived_cl493, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 96.04/14.26 thf(zip_derived_cl570, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 96.04/14.26 inference('clc', [status(thm)], [zip_derived_cl562, zip_derived_cl493])).
% 96.04/14.26 thf(zip_derived_cl2174, plain,
% 96.04/14.26 (![X0 : $i]: (subclass @ X0 @ (complement @ null_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)],
% 96.04/14.26 [zip_derived_cl2158, zip_derived_cl570])).
% 96.04/14.26 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 96.04/14.26 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 96.04/14.26 thf(subclass_implies_equal, axiom,
% 96.04/14.26 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 96.04/14.26 thf(zip_derived_cl6, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 96.04/14.26 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 96.04/14.26 thf(zip_derived_cl499, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 (~ (subclass @ universal_class @ X0) | ((X0) = (universal_class)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 96.04/14.26 thf(zip_derived_cl2266, plain,
% 96.04/14.26 (((complement @ null_class) = (universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)],
% 96.04/14.26 [zip_derived_cl2174, zip_derived_cl499])).
% 96.04/14.26 thf(union, axiom,
% 96.04/14.26 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 96.04/14.26 ( union @ X @ Y ))).
% 96.04/14.26 thf(zip_derived_cl25, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 96.04/14.26 = (union @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [union])).
% 96.04/14.26 thf(zip_derived_cl2281, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 ((complement @ (intersection @ universal_class @ (complement @ X0)))
% 96.04/14.26 = (union @ null_class @ X0))),
% 96.04/14.26 inference('s_sup+', [status(thm)], [zip_derived_cl2266, zip_derived_cl25])).
% 96.04/14.26 thf(zip_derived_cl510, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ X1)
% 96.04/14.26 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 96.04/14.26 thf(zip_derived_cl1, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members1])).
% 96.04/14.26 thf(intersection3, axiom,
% 96.04/14.26 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 96.04/14.26 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 96.04/14.26 thf(zip_derived_cl22, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 96.04/14.26 (~ (member @ X0 @ X1)
% 96.04/14.26 | ~ (member @ X0 @ X2)
% 96.04/14.26 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 96.04/14.26 inference('cnf', [status(esa)], [intersection3])).
% 96.04/14.26 thf(zip_derived_cl2, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members2])).
% 96.04/14.26 thf(zip_derived_cl606, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 96.04/14.26 X0)
% 96.04/14.26 | ~ (member @
% 96.04/14.26 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 96.04/14.26 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 96.04/14.26 thf(zip_derived_cl2013, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ (intersection @ X1 @ X0))
% 96.04/14.26 | ~ (member @
% 96.04/14.26 (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @ X1)
% 96.04/14.26 | (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl606])).
% 96.04/14.26 thf(zip_derived_cl2032, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X0 @ (intersection @ X1 @ X0)) @
% 96.04/14.26 X1)
% 96.04/14.26 | (subclass @ X0 @ (intersection @ X1 @ X0)))),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl2013])).
% 96.04/14.26 thf(zip_derived_cl44563, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ (intersection @ universal_class @ X0))
% 96.04/14.26 | (subclass @ X0 @ (intersection @ universal_class @ X0)))),
% 96.04/14.26 inference('s_sup-', [status(thm)],
% 96.04/14.26 [zip_derived_cl510, zip_derived_cl2032])).
% 96.04/14.26 thf(zip_derived_cl44684, plain,
% 96.04/14.26 (![X0 : $i]: (subclass @ X0 @ (intersection @ universal_class @ X0))),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl44563])).
% 96.04/14.26 thf(zip_derived_cl1, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members1])).
% 96.04/14.26 thf(intersection2, axiom,
% 96.04/14.26 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 96.04/14.26 thf(zip_derived_cl21, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 96.04/14.26 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 96.04/14.26 inference('cnf', [status(esa)], [intersection2])).
% 96.04/14.26 thf(zip_derived_cl581, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i, X2 : $i]:
% 96.04/14.26 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 96.04/14.26 | (member @
% 96.04/14.26 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 96.04/14.26 thf(zip_derived_cl2, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members2])).
% 96.04/14.26 thf(zip_derived_cl1779, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ (intersection @ X1 @ X0) @ X0)
% 96.04/14.26 | (subclass @ (intersection @ X1 @ X0) @ X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl2])).
% 96.04/14.26 thf(zip_derived_cl1795, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X1 @ X0) @ X0)),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl1779])).
% 96.04/14.26 thf(zip_derived_cl6, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 96.04/14.26 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 96.04/14.26 thf(zip_derived_cl1858, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (subclass @ X0 @ (intersection @ X1 @ X0))
% 96.04/14.26 | ((intersection @ X1 @ X0) = (X0)))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1795, zip_derived_cl6])).
% 96.04/14.26 thf(zip_derived_cl44985, plain,
% 96.04/14.26 (![X0 : $i]: ((intersection @ universal_class @ X0) = (X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)],
% 96.04/14.26 [zip_derived_cl44684, zip_derived_cl1858])).
% 96.04/14.26 thf(zip_derived_cl45256, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 ((complement @ (complement @ X0)) = (union @ null_class @ X0))),
% 96.04/14.26 inference('demod', [status(thm)],
% 96.04/14.26 [zip_derived_cl2281, zip_derived_cl44985])).
% 96.04/14.26 thf(zip_derived_cl46127, plain, (((complement @ (complement @ x)) != (x))),
% 96.04/14.26 inference('demod', [status(thm)],
% 96.04/14.26 [zip_derived_cl112, zip_derived_cl45256])).
% 96.04/14.26 thf(zip_derived_cl1, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members1])).
% 96.04/14.26 thf(zip_derived_cl2158, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X1 @ (complement @ X0))
% 96.04/14.26 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 96.04/14.26 inference('clc', [status(thm)], [zip_derived_cl622, zip_derived_cl510])).
% 96.04/14.26 thf(zip_derived_cl23, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement1])).
% 96.04/14.26 thf(zip_derived_cl2170, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X1 @ (complement @ (complement @ X0)))
% 96.04/14.26 | ~ (member @
% 96.04/14.26 (not_subclass_element @ X1 @ (complement @ (complement @ X0))) @
% 96.04/14.26 X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl2158, zip_derived_cl23])).
% 96.04/14.26 thf(zip_derived_cl54442, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ (complement @ (complement @ X0)))
% 96.04/14.26 | (subclass @ X0 @ (complement @ (complement @ X0))))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2170])).
% 96.04/14.26 thf(zip_derived_cl54522, plain,
% 96.04/14.26 (![X0 : $i]: (subclass @ X0 @ (complement @ (complement @ X0)))),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl54442])).
% 96.04/14.26 thf(zip_derived_cl6, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 96.04/14.26 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 96.04/14.26 thf(zip_derived_cl54592, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 (~ (subclass @ (complement @ (complement @ X0)) @ X0)
% 96.04/14.26 | ((X0) = (complement @ (complement @ X0))))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl54522, zip_derived_cl6])).
% 96.04/14.26 thf(zip_derived_cl24, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ universal_class)
% 96.04/14.26 | (member @ X0 @ (complement @ X1))
% 96.04/14.26 | (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement2])).
% 96.04/14.26 thf(zip_derived_cl1, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members1])).
% 96.04/14.26 thf(zip_derived_cl23, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [complement1])).
% 96.04/14.26 thf(zip_derived_cl494, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ (complement @ X0) @ X1)
% 96.04/14.26 | ~ (member @ (not_subclass_element @ (complement @ X0) @ X1) @ X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 96.04/14.26 thf(zip_derived_cl623, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (member @
% 96.04/14.26 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @ X0)
% 96.04/14.26 | ~ (member @
% 96.04/14.26 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 96.04/14.26 universal_class)
% 96.04/14.26 | (subclass @ (complement @ (complement @ X0)) @ X1))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl494])).
% 96.04/14.26 thf(zip_derived_cl510, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ X0 @ X1)
% 96.04/14.26 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl493])).
% 96.04/14.26 thf(zip_derived_cl2222, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 ( (subclass @ (complement @ (complement @ X0)) @ X1)
% 96.04/14.26 | (member @
% 96.04/14.26 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 96.04/14.26 X0))),
% 96.04/14.26 inference('clc', [status(thm)], [zip_derived_cl623, zip_derived_cl510])).
% 96.04/14.26 thf(zip_derived_cl2, plain,
% 96.04/14.26 (![X0 : $i, X1 : $i]:
% 96.04/14.26 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 96.04/14.26 | (subclass @ X0 @ X1))),
% 96.04/14.26 inference('cnf', [status(esa)], [not_subclass_members2])).
% 96.04/14.26 thf(zip_derived_cl2254, plain,
% 96.04/14.26 (![X0 : $i]:
% 96.04/14.26 ( (subclass @ (complement @ (complement @ X0)) @ X0)
% 96.04/14.26 | (subclass @ (complement @ (complement @ X0)) @ X0))),
% 96.04/14.26 inference('s_sup-', [status(thm)], [zip_derived_cl2222, zip_derived_cl2])).
% 96.04/14.26 thf(zip_derived_cl2261, plain,
% 96.04/14.26 (![X0 : $i]: (subclass @ (complement @ (complement @ X0)) @ X0)),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl2254])).
% 96.04/14.26 thf(zip_derived_cl54625, plain,
% 96.04/14.26 (![X0 : $i]: ((X0) = (complement @ (complement @ X0)))),
% 96.04/14.26 inference('demod', [status(thm)],
% 96.04/14.26 [zip_derived_cl54592, zip_derived_cl2261])).
% 96.04/14.26 thf(zip_derived_cl54654, plain, (((x) != (x))),
% 96.04/14.26 inference('demod', [status(thm)],
% 96.04/14.26 [zip_derived_cl46127, zip_derived_cl54625])).
% 96.04/14.26 thf(zip_derived_cl54655, plain, ($false),
% 96.04/14.26 inference('simplify', [status(thm)], [zip_derived_cl54654])).
% 96.04/14.26
% 96.04/14.26 % SZS output end Refutation
% 96.04/14.26
% 96.04/14.26
% 96.04/14.26 % Terminating...
% 96.78/14.39 % Runner terminated.
% 96.78/14.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------