%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET154-6 : 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.47plNl86Ia true
% Computer : n014.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 04:51:43 PM UTC 2025
% Result : Unsatisfiable 43.24s 6.81s
% Output : Refutation 43.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : SET154-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.03/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.47plNl86Ia true
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:20:08 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.17/0.32 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.67 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 43.24/6.81 % Solved by fo/fo5.sh.
% 43.24/6.81 % done 5959 iterations in 6.057s
% 43.24/6.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 43.24/6.81 % SZS output start Refutation
% 43.24/6.81 thf(universal_class_type, type, universal_class: $i).
% 43.24/6.81 thf(union_type, type, union: $i > $i > $i).
% 43.24/6.81 thf(null_class_type, type, null_class: $i).
% 43.24/6.81 thf(domain_of_type, type, domain_of: $i > $i).
% 43.24/6.81 thf(member_type, type, member: $i > $i > $o).
% 43.24/6.81 thf(x_type, type, x: $i).
% 43.24/6.81 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 43.24/6.81 thf(complement_type, type, complement: $i > $i).
% 43.24/6.81 thf(identity_relation_type, type, identity_relation: $i).
% 43.24/6.81 thf(singleton_type, type, singleton: $i > $i).
% 43.24/6.81 thf(intersection_type, type, intersection: $i > $i > $i).
% 43.24/6.81 thf(subclass_type, type, subclass: $i > $i > $o).
% 43.24/6.81 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 43.24/6.81 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 43.24/6.81 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 43.24/6.81 thf(diagonalise_type, type, diagonalise: $i > $i).
% 43.24/6.81 thf(regular_type, type, regular: $i > $i).
% 43.24/6.81 thf(prove_union_with_complement_1, conjecture,
% 43.24/6.81 (( union @ ( complement @ x ) @ x ) = ( universal_class ))).
% 43.24/6.81 thf(zf_stmt_0, negated_conjecture,
% 43.24/6.81 (( union @ ( complement @ x ) @ x ) != ( universal_class )),
% 43.24/6.81 inference('cnf.neg', [status(esa)], [prove_union_with_complement_1])).
% 43.24/6.81 thf(zip_derived_cl112, plain,
% 43.24/6.81 (((union @ (complement @ x) @ x) != (universal_class))),
% 43.24/6.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.24/6.81 thf(not_subclass_members1, axiom,
% 43.24/6.81 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 43.24/6.81 thf(zip_derived_cl1, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 43.24/6.81 | (subclass @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [not_subclass_members1])).
% 43.24/6.81 thf(intersection1, axiom,
% 43.24/6.81 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 43.24/6.81 thf(zip_derived_cl20, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [intersection1])).
% 43.24/6.81 thf(zip_derived_cl273, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 43.24/6.81 | (member @
% 43.24/6.81 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 43.24/6.81 thf(regularity1, axiom,
% 43.24/6.81 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 43.24/6.81 thf(zip_derived_cl65, plain,
% 43.24/6.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [regularity1])).
% 43.24/6.81 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 43.24/6.81 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 43.24/6.81 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 43.24/6.81 thf(subclass_members, axiom,
% 43.24/6.81 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 43.24/6.81 thf(zip_derived_cl0, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [subclass_members])).
% 43.24/6.81 thf(zip_derived_cl114, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 43.24/6.81 thf(zip_derived_cl177, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl114])).
% 43.24/6.81 thf(zip_derived_cl65, plain,
% 43.24/6.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [regularity1])).
% 43.24/6.81 thf(complement1, axiom,
% 43.24/6.81 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 43.24/6.81 thf(zip_derived_cl23, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [complement1])).
% 43.24/6.81 thf(zip_derived_cl181, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (((complement @ X0) = (null_class))
% 43.24/6.81 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 43.24/6.81 thf(zip_derived_cl289, plain,
% 43.24/6.81 ((((complement @ universal_class) = (null_class))
% 43.24/6.81 | ((complement @ universal_class) = (null_class)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl177, zip_derived_cl181])).
% 43.24/6.81 thf(zip_derived_cl290, plain,
% 43.24/6.81 (((complement @ universal_class) = (null_class))),
% 43.24/6.81 inference('simplify', [status(thm)], [zip_derived_cl289])).
% 43.24/6.81 thf(zip_derived_cl23, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [complement1])).
% 43.24/6.81 thf(zip_derived_cl291, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl290, zip_derived_cl23])).
% 43.24/6.81 thf(zip_derived_cl114, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 43.24/6.81 thf(zip_derived_cl296, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 43.24/6.81 inference('clc', [status(thm)], [zip_derived_cl291, zip_derived_cl114])).
% 43.24/6.81 thf(zip_derived_cl4504, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ null_class @ X1) @ X0)),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl296])).
% 43.24/6.81 thf(zip_derived_cl1, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 43.24/6.81 | (subclass @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [not_subclass_members1])).
% 43.24/6.81 thf(zip_derived_cl296, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 43.24/6.81 inference('clc', [status(thm)], [zip_derived_cl291, zip_derived_cl114])).
% 43.24/6.81 thf(zip_derived_cl297, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl296])).
% 43.24/6.81 thf(subclass_implies_equal, axiom,
% 43.24/6.81 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 43.24/6.81 thf(zip_derived_cl6, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 43.24/6.81 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 43.24/6.81 thf(zip_derived_cl348, plain,
% 43.24/6.81 (![X0 : $i]: (((null_class) = (X0)) | ~ (subclass @ X0 @ null_class))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl6])).
% 43.24/6.81 thf(zip_derived_cl4545, plain,
% 43.24/6.81 (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl4504, zip_derived_cl348])).
% 43.24/6.81 thf(diagonalisation, axiom,
% 43.24/6.81 (( complement @ ( domain_of @ ( intersection @ Xr @ identity_relation ) ) ) =
% 43.24/6.81 ( diagonalise @ Xr ))).
% 43.24/6.81 thf(zip_derived_cl75, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 ((complement @ (domain_of @ (intersection @ X0 @ identity_relation)))
% 43.24/6.81 = (diagonalise @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [diagonalisation])).
% 43.24/6.81 thf(zip_derived_cl4631, plain,
% 43.24/6.81 (((complement @ (domain_of @ null_class)) = (diagonalise @ null_class))),
% 43.24/6.81 inference('sup+', [status(thm)], [zip_derived_cl4545, zip_derived_cl75])).
% 43.24/6.81 thf(zip_derived_cl65, plain,
% 43.24/6.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [regularity1])).
% 43.24/6.81 thf(zip_derived_cl4545, plain,
% 43.24/6.81 (![X0 : $i]: ((null_class) = (intersection @ null_class @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl4504, zip_derived_cl348])).
% 43.24/6.81 thf(restriction1, axiom,
% 43.24/6.81 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 43.24/6.81 ( restrict @ Xr @ X @ Y ))).
% 43.24/6.81 thf(zip_derived_cl27, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 43.24/6.81 = (restrict @ X0 @ X1 @ X2))),
% 43.24/6.81 inference('cnf', [status(esa)], [restriction1])).
% 43.24/6.81 thf(zip_derived_cl4630, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]: ((null_class) = (restrict @ null_class @ X1 @ X0))),
% 43.24/6.81 inference('sup+', [status(thm)], [zip_derived_cl4545, zip_derived_cl27])).
% 43.24/6.81 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 43.24/6.81 thf(zip_derived_cl11, plain,
% 43.24/6.81 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [singleton_set])).
% 43.24/6.81 thf(domain1, axiom,
% 43.24/6.81 (( ( restrict @ X @ ( singleton @ Z ) @ universal_class ) != ( null_class ) ) |
% 43.24/6.81 ( ~( member @ Z @ ( domain_of @ X ) ) ))).
% 43.24/6.81 thf(zip_derived_cl29, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (((restrict @ X0 @ (singleton @ X1) @ universal_class) != (null_class))
% 43.24/6.81 | ~ (member @ X1 @ (domain_of @ X0)))),
% 43.24/6.81 inference('cnf', [status(esa)], [domain1])).
% 43.24/6.81 thf(zip_derived_cl300, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (((restrict @ X1 @ (unordered_pair @ X0 @ X0) @ universal_class)
% 43.24/6.81 != (null_class))
% 43.24/6.81 | ~ (member @ X0 @ (domain_of @ X1)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl29])).
% 43.24/6.81 thf(zip_derived_cl4718, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (((null_class) != (null_class))
% 43.24/6.81 | ~ (member @ X0 @ (domain_of @ null_class)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl4630, zip_derived_cl300])).
% 43.24/6.81 thf(zip_derived_cl4722, plain,
% 43.24/6.81 (![X0 : $i]: ~ (member @ X0 @ (domain_of @ null_class))),
% 43.24/6.81 inference('simplify', [status(thm)], [zip_derived_cl4718])).
% 43.24/6.81 thf(zip_derived_cl4798, plain, (((domain_of @ null_class) = (null_class))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl4722])).
% 43.24/6.81 thf(zip_derived_cl4802, plain,
% 43.24/6.81 (((complement @ null_class) = (diagonalise @ null_class))),
% 43.24/6.81 inference('demod', [status(thm)],
% 43.24/6.81 [zip_derived_cl4631, zip_derived_cl4798])).
% 43.24/6.81 thf(zip_derived_cl1, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 43.24/6.81 | (subclass @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [not_subclass_members1])).
% 43.24/6.81 thf(complement2, axiom,
% 43.24/6.81 (( ~( member @ Z @ universal_class ) ) |
% 43.24/6.81 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 43.24/6.81 thf(zip_derived_cl24, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (member @ X0 @ universal_class)
% 43.24/6.81 | (member @ X0 @ (complement @ X1))
% 43.24/6.81 | (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [complement2])).
% 43.24/6.81 thf(zip_derived_cl376, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ( (subclass @ universal_class @ X0)
% 43.24/6.81 | (member @ (not_subclass_element @ universal_class @ X0) @ X1)
% 43.24/6.81 | (member @ (not_subclass_element @ universal_class @ X0) @
% 43.24/6.81 (complement @ X1)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl24])).
% 43.24/6.81 thf(zip_derived_cl7218, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 ( (member @ (not_subclass_element @ universal_class @ X0) @
% 43.24/6.81 (diagonalise @ null_class))
% 43.24/6.81 | (member @ (not_subclass_element @ universal_class @ X0) @
% 43.24/6.81 null_class)
% 43.24/6.81 | (subclass @ universal_class @ X0))),
% 43.24/6.81 inference('sup+', [status(thm)], [zip_derived_cl4802, zip_derived_cl376])).
% 43.24/6.81 thf(zip_derived_cl296, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 43.24/6.81 inference('clc', [status(thm)], [zip_derived_cl291, zip_derived_cl114])).
% 43.24/6.81 thf(zip_derived_cl7225, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 ( (member @ (not_subclass_element @ universal_class @ X0) @
% 43.24/6.81 (diagonalise @ null_class))
% 43.24/6.81 | (subclass @ universal_class @ X0))),
% 43.24/6.81 inference('demod', [status(thm)], [zip_derived_cl7218, zip_derived_cl296])).
% 43.24/6.81 thf(not_subclass_members2, axiom,
% 43.24/6.81 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 43.24/6.81 ( subclass @ X @ Y ))).
% 43.24/6.81 thf(zip_derived_cl2, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 43.24/6.81 | (subclass @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [not_subclass_members2])).
% 43.24/6.81 thf(zip_derived_cl37736, plain,
% 43.24/6.81 (( (subclass @ universal_class @ (diagonalise @ null_class))
% 43.24/6.81 | (subclass @ universal_class @ (diagonalise @ null_class)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl7225, zip_derived_cl2])).
% 43.24/6.81 thf(zip_derived_cl37740, plain,
% 43.24/6.81 ( (subclass @ universal_class @ (diagonalise @ null_class))),
% 43.24/6.81 inference('simplify', [status(thm)], [zip_derived_cl37736])).
% 43.24/6.81 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 43.24/6.81 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 43.24/6.81 thf(zip_derived_cl6, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 43.24/6.81 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 43.24/6.81 thf(zip_derived_cl166, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (((X0) = (universal_class)) | ~ (subclass @ universal_class @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 43.24/6.81 thf(zip_derived_cl38179, plain,
% 43.24/6.81 (((diagonalise @ null_class) = (universal_class))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl37740, zip_derived_cl166])).
% 43.24/6.81 thf(zip_derived_cl38217, plain,
% 43.24/6.81 (((union @ (complement @ x) @ x) != (diagonalise @ null_class))),
% 43.24/6.81 inference('demod', [status(thm)],
% 43.24/6.81 [zip_derived_cl112, zip_derived_cl38179])).
% 43.24/6.81 thf(zip_derived_cl65, plain,
% 43.24/6.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [regularity1])).
% 43.24/6.81 thf(intersection2, axiom,
% 43.24/6.81 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 43.24/6.81 thf(zip_derived_cl21, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 43.24/6.81 inference('cnf', [status(esa)], [intersection2])).
% 43.24/6.81 thf(zip_derived_cl279, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (((intersection @ X1 @ X0) = (null_class))
% 43.24/6.81 | (member @ (regular @ (intersection @ X1 @ X0)) @ X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl21])).
% 43.24/6.81 thf(zip_derived_cl65, plain,
% 43.24/6.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 43.24/6.81 inference('cnf', [status(esa)], [regularity1])).
% 43.24/6.81 thf(zip_derived_cl20, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [intersection1])).
% 43.24/6.81 thf(zip_derived_cl275, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (((intersection @ X1 @ X0) = (null_class))
% 43.24/6.81 | (member @ (regular @ (intersection @ X1 @ X0)) @ X1))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl20])).
% 43.24/6.81 thf(zip_derived_cl23, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [complement1])).
% 43.24/6.81 thf(zip_derived_cl4753, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 (((intersection @ (complement @ X0) @ X1) = (null_class))
% 43.24/6.81 | ~ (member @ (regular @ (intersection @ (complement @ X0) @ X1)) @
% 43.24/6.81 X0))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl23])).
% 43.24/6.81 thf(zip_derived_cl44850, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 (((intersection @ (complement @ X0) @ X0) = (null_class))
% 43.24/6.81 | ((intersection @ (complement @ X0) @ X0) = (null_class)))),
% 43.24/6.81 inference('sup-', [status(thm)], [zip_derived_cl279, zip_derived_cl4753])).
% 43.24/6.81 thf(zip_derived_cl44887, plain,
% 43.24/6.81 (![X0 : $i]: ((intersection @ (complement @ X0) @ X0) = (null_class))),
% 43.24/6.81 inference('simplify', [status(thm)], [zip_derived_cl44850])).
% 43.24/6.81 thf(union, axiom,
% 43.24/6.81 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 43.24/6.81 ( union @ X @ Y ))).
% 43.24/6.81 thf(zip_derived_cl25, plain,
% 43.24/6.81 (![X0 : $i, X1 : $i]:
% 43.24/6.81 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 43.24/6.81 = (union @ X0 @ X1))),
% 43.24/6.81 inference('cnf', [status(esa)], [union])).
% 43.24/6.81 thf(zip_derived_cl44958, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 ((complement @ null_class) = (union @ (complement @ X0) @ X0))),
% 43.24/6.81 inference('sup+', [status(thm)], [zip_derived_cl44887, zip_derived_cl25])).
% 43.24/6.81 thf(zip_derived_cl4802, plain,
% 43.24/6.81 (((complement @ null_class) = (diagonalise @ null_class))),
% 43.24/6.81 inference('demod', [status(thm)],
% 43.24/6.81 [zip_derived_cl4631, zip_derived_cl4798])).
% 43.24/6.81 thf(zip_derived_cl45059, plain,
% 43.24/6.81 (![X0 : $i]:
% 43.24/6.81 ((diagonalise @ null_class) = (union @ (complement @ X0) @ X0))),
% 43.24/6.81 inference('demod', [status(thm)],
% 43.24/6.81 [zip_derived_cl44958, zip_derived_cl4802])).
% 43.24/6.81 thf(zip_derived_cl45191, plain,
% 43.24/6.81 (((diagonalise @ null_class) != (diagonalise @ null_class))),
% 43.24/6.81 inference('demod', [status(thm)],
% 43.24/6.81 [zip_derived_cl38217, zip_derived_cl45059])).
% 43.24/6.81 thf(zip_derived_cl45192, plain, ($false),
% 43.24/6.81 inference('simplify', [status(thm)], [zip_derived_cl45191])).
% 43.24/6.81
% 43.24/6.81 % SZS output end Refutation
% 43.24/6.81
% 43.24/6.81
% 43.24/6.81 % Terminating...
% 43.73/6.86 % Runner terminated.
% 43.73/6.89 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------