TSTP Solution File: SET135-6 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET135-6 : 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.8UW5Ts9YEc 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 16:12:58 EDT 2023
% Result : Unsatisfiable 1.42s 1.07s
% Output : Refutation 1.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SET135-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8UW5Ts9YEc 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 16:19:10 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.15/0.37 % Running portfolio for 300 s
% 0.15/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.24/0.66 % Total configuration time : 435
% 0.24/0.66 % Estimated wc time : 1092
% 0.24/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.24/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.24/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.24/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.92/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.92/0.82 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.42/1.06 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 1.42/1.07 % Solved by fo/fo1_lcnf.sh.
% 1.42/1.07 % done 293 iterations in 0.184s
% 1.42/1.07 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/1.07 % SZS output start Refutation
% 1.42/1.07 thf(universal_class_type, type, universal_class: $i).
% 1.42/1.07 thf(union_type, type, union: $i > $i > $i).
% 1.42/1.07 thf(null_class_type, type, null_class: $i).
% 1.42/1.07 thf(member_type, type, member: $i > $i > $o).
% 1.42/1.07 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.42/1.07 thf(complement_type, type, complement: $i > $i).
% 1.42/1.07 thf(set_builder_type, type, set_builder: $i > $i > $i).
% 1.42/1.07 thf(u_type, type, u: $i).
% 1.42/1.07 thf(singleton_type, type, singleton: $i > $i).
% 1.42/1.07 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.42/1.07 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.42/1.07 thf(z_type, type, z: $i).
% 1.42/1.07 thf(x_type, type, x: $i).
% 1.42/1.07 thf(regular_type, type, regular: $i > $i).
% 1.42/1.07 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.42/1.07 thf(zip_derived_cl11, plain,
% 1.42/1.07 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.42/1.07 inference('cnf', [status(esa)], [singleton_set])).
% 1.42/1.07 thf(unordered_pair_member, axiom,
% 1.42/1.07 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.42/1.07 ( ( U ) = ( Y ) ))).
% 1.42/1.07 thf(zip_derived_cl7, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ (unordered_pair @ X1 @ X2)))) |
% 1.42/1.07 (((X0) = (X1))) | (((X0) = (X2)))))),
% 1.42/1.07 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.42/1.07 thf(zip_derived_cl166, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.42/1.07 | (((X0) = (X1)))
% 1.42/1.07 | (((X0) = (X2))))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
% 1.42/1.07 thf(zip_derived_cl167, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.42/1.07 | ((X0) = (X1))
% 1.42/1.07 | ((X0) = (X2)))),
% 1.42/1.07 inference('simplify nested equalities', [status(thm)],
% 1.42/1.07 [zip_derived_cl166])).
% 1.42/1.07 thf(zip_derived_cl171, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl167])).
% 1.42/1.07 thf(zip_derived_cl172, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.42/1.07 inference('simplify', [status(thm)], [zip_derived_cl171])).
% 1.42/1.07 thf(regularity1, axiom,
% 1.42/1.07 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 1.42/1.07 thf(zip_derived_cl65, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (((((X0) = (null_class))) | (member @ (regular @ X0) @ X0)))),
% 1.42/1.07 inference('cnf', [status(esa)], [regularity1])).
% 1.42/1.07 thf(zip_derived_cl155, plain,
% 1.42/1.07 (![X0 : $i]: ( (((X0) = (null_class))) | (member @ (regular @ X0) @ X0))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl65])).
% 1.42/1.07 thf(zip_derived_cl156, plain,
% 1.42/1.07 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.42/1.07 inference('simplify nested equalities', [status(thm)],
% 1.42/1.07 [zip_derived_cl155])).
% 1.42/1.07 thf(zip_derived_cl175, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (((regular @ (singleton @ X0)) = (X0))
% 1.42/1.07 | ((singleton @ X0) = (null_class)))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl172, zip_derived_cl156])).
% 1.42/1.07 thf(zip_derived_cl156, plain,
% 1.42/1.07 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.42/1.07 inference('simplify nested equalities', [status(thm)],
% 1.42/1.07 [zip_derived_cl155])).
% 1.42/1.07 thf(zip_derived_cl190, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (((singleton @ X0) = (null_class))
% 1.42/1.07 | ((singleton @ X0) = (null_class))
% 1.42/1.07 | (member @ X0 @ (singleton @ X0)))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl175, zip_derived_cl156])).
% 1.42/1.07 thf(zip_derived_cl192, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 1.42/1.07 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 1.42/1.07 thf(definition_of_set_builder, axiom,
% 1.42/1.07 (( union @ ( singleton @ X ) @ Y ) = ( set_builder @ X @ Y ))).
% 1.42/1.07 thf(zip_derived_cl91, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ((union @ (singleton @ X0) @ X1) = (set_builder @ X0 @ X1))),
% 1.42/1.07 inference('cnf', [status(esa)], [definition_of_set_builder])).
% 1.42/1.07 thf(union, axiom,
% 1.42/1.07 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 1.42/1.07 ( union @ X @ Y ))).
% 1.42/1.07 thf(zip_derived_cl25, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 1.42/1.07 = (union @ X0 @ X1))),
% 1.42/1.07 inference('cnf', [status(esa)], [union])).
% 1.42/1.07 thf(prove_corollary_3_to_member_of_triple_1, conjecture,
% 1.42/1.07 (~( member @ u @ universal_class ))).
% 1.42/1.07 thf(zf_stmt_0, negated_conjecture, (member @ u @ universal_class),
% 1.42/1.07 inference('cnf.neg', [status(esa)],
% 1.42/1.07 [prove_corollary_3_to_member_of_triple_1])).
% 1.42/1.07 thf(zip_derived_cl92, plain, ( (member @ u @ universal_class)),
% 1.42/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.42/1.07 thf(complement2, axiom,
% 1.42/1.07 (( ~( member @ Z @ universal_class ) ) |
% 1.42/1.07 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.42/1.07 thf(zip_derived_cl24, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ universal_class))) |
% 1.42/1.07 (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 1.42/1.07 inference('cnf', [status(esa)], [complement2])).
% 1.42/1.07 thf(zip_derived_cl395, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ universal_class)
% 1.42/1.07 | (member @ X0 @ (complement @ X1))
% 1.42/1.07 | (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 1.42/1.07 thf(zip_derived_cl407, plain,
% 1.42/1.07 (![X0 : $i]: ( (member @ u @ (complement @ X0)) | (member @ u @ X0))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl395])).
% 1.42/1.07 thf(zip_derived_cl411, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (union @ X1 @ X0))
% 1.42/1.07 | (member @ u @
% 1.42/1.07 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl407])).
% 1.42/1.07 thf(intersection1, axiom,
% 1.42/1.07 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.42/1.07 thf(zip_derived_cl20, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 1.42/1.07 X0 @ X1)))),
% 1.42/1.07 inference('cnf', [status(esa)], [intersection1])).
% 1.42/1.07 thf(zip_derived_cl259, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 1.42/1.07 thf(zip_derived_cl468, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (union @ X1 @ X0)) | (member @ u @ (complement @ X1)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl411, zip_derived_cl259])).
% 1.42/1.07 thf(zip_derived_cl483, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (set_builder @ X1 @ X0))
% 1.42/1.07 | (member @ u @ (complement @ (singleton @ X1))))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl468])).
% 1.42/1.07 thf(prove_corollary_3_to_member_of_triple_2, conjecture,
% 1.42/1.07 (( set_builder @ x @ ( set_builder @ u @ ( set_builder @ z @ null_class ) ) ) !=
% 1.42/1.07 ( null_class ))).
% 1.42/1.07 thf(zf_stmt_1, negated_conjecture,
% 1.42/1.07 (( set_builder @ x @ ( set_builder @ u @ ( set_builder @ z @ null_class ) ) ) =
% 1.42/1.07 ( null_class )),
% 1.42/1.07 inference('cnf.neg', [status(esa)],
% 1.42/1.07 [prove_corollary_3_to_member_of_triple_2])).
% 1.42/1.07 thf(zip_derived_cl93, plain,
% 1.42/1.07 (((set_builder @ x @ (set_builder @ u @ (set_builder @ z @ null_class)))
% 1.42/1.07 = (null_class))),
% 1.42/1.07 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.42/1.07 thf(zip_derived_cl91, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ((union @ (singleton @ X0) @ X1) = (set_builder @ X0 @ X1))),
% 1.42/1.07 inference('cnf', [status(esa)], [definition_of_set_builder])).
% 1.42/1.07 thf(zip_derived_cl411, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (union @ X1 @ X0))
% 1.42/1.07 | (member @ u @
% 1.42/1.07 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl407])).
% 1.42/1.07 thf(intersection2, axiom,
% 1.42/1.07 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 1.42/1.07 thf(zip_derived_cl21, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 1.42/1.07 X0 @ X2)))),
% 1.42/1.07 inference('cnf', [status(esa)], [intersection2])).
% 1.42/1.07 thf(zip_derived_cl269, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])).
% 1.42/1.07 thf(zip_derived_cl469, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (union @ X1 @ X0)) | (member @ u @ (complement @ X0)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl411, zip_derived_cl269])).
% 1.42/1.07 thf(zip_derived_cl511, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 ( (member @ u @ (set_builder @ X1 @ X0))
% 1.42/1.07 | (member @ u @ (complement @ X0)))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl91, zip_derived_cl469])).
% 1.42/1.07 thf(zip_derived_cl514, plain,
% 1.42/1.07 (( (member @ u @ null_class)
% 1.42/1.07 | (member @ u @
% 1.42/1.07 (complement @ (set_builder @ u @ (set_builder @ z @ null_class)))))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl511])).
% 1.42/1.07 thf(zip_derived_cl156, plain,
% 1.42/1.07 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.42/1.07 inference('simplify nested equalities', [status(thm)],
% 1.42/1.07 [zip_derived_cl155])).
% 1.42/1.07 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.42/1.07 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.42/1.07 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.42/1.07 thf(subclass_members, axiom,
% 1.42/1.07 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.42/1.07 thf(zip_derived_cl0, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 1.42/1.07 (member @ X2 @ X1)))),
% 1.42/1.07 inference('cnf', [status(esa)], [subclass_members])).
% 1.42/1.07 thf(zip_derived_cl94, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.42/1.07 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 1.42/1.07 thf(zip_derived_cl95, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl94])).
% 1.42/1.07 thf(zip_derived_cl157, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl95])).
% 1.42/1.07 thf(zip_derived_cl156, plain,
% 1.42/1.07 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 1.42/1.07 inference('simplify nested equalities', [status(thm)],
% 1.42/1.07 [zip_derived_cl155])).
% 1.42/1.07 thf(complement1, axiom,
% 1.42/1.07 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.42/1.07 thf(zip_derived_cl23, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 1.42/1.07 (((~) @ (member @ X0 @ X1)))))),
% 1.42/1.07 inference('cnf', [status(esa)], [complement1])).
% 1.42/1.07 thf(zip_derived_cl194, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.42/1.07 thf(zip_derived_cl197, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (((complement @ X0) = (null_class))
% 1.42/1.07 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl194])).
% 1.42/1.07 thf(zip_derived_cl242, plain,
% 1.42/1.07 ((((complement @ universal_class) = (null_class))
% 1.42/1.07 | ((complement @ universal_class) = (null_class)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl157, zip_derived_cl197])).
% 1.42/1.07 thf(zip_derived_cl246, plain,
% 1.42/1.07 (((complement @ universal_class) = (null_class))),
% 1.42/1.07 inference('simplify', [status(thm)], [zip_derived_cl242])).
% 1.42/1.07 thf(zip_derived_cl194, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.42/1.07 thf(zip_derived_cl253, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl246, zip_derived_cl194])).
% 1.42/1.07 thf(zip_derived_cl95, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl94])).
% 1.42/1.07 thf(zip_derived_cl286, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.42/1.07 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl95])).
% 1.42/1.07 thf(zip_derived_cl515, plain,
% 1.42/1.07 ( (member @ u @
% 1.42/1.07 (complement @ (set_builder @ u @ (set_builder @ z @ null_class))))),
% 1.42/1.07 inference('demod', [status(thm)], [zip_derived_cl514, zip_derived_cl286])).
% 1.42/1.07 thf(zip_derived_cl194, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.42/1.07 thf(zip_derived_cl521, plain,
% 1.42/1.07 (~ (member @ u @ (set_builder @ u @ (set_builder @ z @ null_class)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl515, zip_derived_cl194])).
% 1.42/1.07 thf(zip_derived_cl583, plain,
% 1.42/1.07 ( (member @ u @ (complement @ (singleton @ u)))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl483, zip_derived_cl521])).
% 1.42/1.07 thf(zip_derived_cl194, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 1.42/1.07 thf(zip_derived_cl591, plain, (~ (member @ u @ (singleton @ u))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl583, zip_derived_cl194])).
% 1.42/1.07 thf(zip_derived_cl701, plain, (((singleton @ u) = (null_class))),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl192, zip_derived_cl591])).
% 1.42/1.07 thf(zip_derived_cl11, plain,
% 1.42/1.07 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.42/1.07 inference('cnf', [status(esa)], [singleton_set])).
% 1.42/1.07 thf(unordered_pair2, axiom,
% 1.42/1.07 (( ~( member @ X @ universal_class ) ) |
% 1.42/1.07 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 1.42/1.07 thf(zip_derived_cl8, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @
% 1.42/1.07 (unordered_pair @ X0 @ X1))))),
% 1.42/1.07 inference('cnf', [status(esa)], [unordered_pair2])).
% 1.42/1.07 thf(zip_derived_cl186, plain,
% 1.42/1.07 (![X0 : $i, X1 : $i]:
% 1.42/1.07 (~ (member @ X0 @ universal_class)
% 1.42/1.07 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 1.42/1.07 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 1.42/1.07 thf(zip_derived_cl189, plain,
% 1.42/1.07 (![X0 : $i]:
% 1.42/1.07 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl186])).
% 1.42/1.07 thf(zip_derived_cl946, plain,
% 1.42/1.07 ((~ (member @ u @ universal_class) | (member @ u @ null_class))),
% 1.42/1.07 inference('s_sup+', [status(thm)], [zip_derived_cl701, zip_derived_cl189])).
% 1.42/1.07 thf(zip_derived_cl92, plain, ( (member @ u @ universal_class)),
% 1.42/1.07 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.42/1.07 thf(zip_derived_cl951, plain, ( (member @ u @ null_class)),
% 1.42/1.07 inference('demod', [status(thm)], [zip_derived_cl946, zip_derived_cl92])).
% 1.42/1.07 thf(zip_derived_cl286, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 1.42/1.07 inference('clc', [status(thm)], [zip_derived_cl253, zip_derived_cl95])).
% 1.42/1.07 thf(zip_derived_cl956, plain, ($false),
% 1.42/1.07 inference('s_sup-', [status(thm)], [zip_derived_cl951, zip_derived_cl286])).
% 1.42/1.07
% 1.42/1.07 % SZS output end Refutation
% 1.42/1.07
% 1.42/1.07
% 1.42/1.07 % Terminating...
% 1.64/1.17 % Runner terminated.
% 1.64/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------