TSTP Solution File: SET195-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET195-6 : 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.oVou8p5XQc true
% Computer : n011.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 16:13:22 EDT 2023
% Result : Unsatisfiable 81.86s 12.36s
% Output : Refutation 81.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET195-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.oVou8p5XQc true
% 0.13/0.35 % Computer : n011.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 12:15:24 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.20/0.67 % Total configuration time : 435
% 0.20/0.67 % Estimated wc time : 1092
% 0.20/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.86/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.10/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.10/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.10/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.10/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.10/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.10/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 81.86/12.36 % Solved by fo/fo6_bce.sh.
% 81.86/12.36 % BCE start: 113
% 81.86/12.36 % BCE eliminated: 1
% 81.86/12.36 % PE start: 112
% 81.86/12.36 logic: eq
% 81.86/12.36 % PE eliminated: 19
% 81.86/12.36 % done 4690 iterations in 11.617s
% 81.86/12.36 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 81.86/12.36 % SZS output start Refutation
% 81.86/12.36 thf(universal_class_type, type, universal_class: $i).
% 81.86/12.36 thf(union_type, type, union: $i > $i > $i).
% 81.86/12.36 thf(null_class_type, type, null_class: $i).
% 81.86/12.36 thf(member_type, type, member: $i > $i > $o).
% 81.86/12.36 thf(y_type, type, y: $i).
% 81.86/12.36 thf(complement_type, type, complement: $i > $i).
% 81.86/12.36 thf(intersection_type, type, intersection: $i > $i > $i).
% 81.86/12.36 thf(subclass_type, type, subclass: $i > $i > $o).
% 81.86/12.36 thf(x_type, type, x: $i).
% 81.86/12.36 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 81.86/12.36 thf(regular_type, type, regular: $i > $i).
% 81.86/12.36 thf(prove_lattice_upper_bound2_1, conjecture,
% 81.86/12.36 (subclass @ y @ ( union @ x @ y ))).
% 81.86/12.36 thf(zf_stmt_0, negated_conjecture, (~( subclass @ y @ ( union @ x @ y ) )),
% 81.86/12.36 inference('cnf.neg', [status(esa)], [prove_lattice_upper_bound2_1])).
% 81.86/12.36 thf(zip_derived_cl112, plain, (~ (subclass @ y @ (union @ x @ y))),
% 81.86/12.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 81.86/12.36 thf(not_subclass_members1, axiom,
% 81.86/12.36 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(union, axiom,
% 81.86/12.36 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 81.86/12.36 ( union @ X @ Y ))).
% 81.86/12.36 thf(zip_derived_cl25, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 81.86/12.36 = (union @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [union])).
% 81.86/12.36 thf(complement2, axiom,
% 81.86/12.36 (( ~( member @ Z @ universal_class ) ) |
% 81.86/12.36 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 81.86/12.36 thf(zip_derived_cl24, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ universal_class)
% 81.86/12.36 | (member @ X0 @ (complement @ X1))
% 81.86/12.36 | (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement2])).
% 81.86/12.36 thf(not_subclass_members2, axiom,
% 81.86/12.36 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 81.86/12.36 ( subclass @ X @ Y ))).
% 81.86/12.36 thf(zip_derived_cl2, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members2])).
% 81.86/12.36 thf(zip_derived_cl614, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0)
% 81.86/12.36 | ~ (member @ (not_subclass_element @ X1 @ (complement @ X0)) @
% 81.86/12.36 universal_class)
% 81.86/12.36 | (subclass @ X1 @ (complement @ X0)))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl2])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 81.86/12.36 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 81.86/12.36 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 81.86/12.36 thf(subclass_members, axiom,
% 81.86/12.36 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 81.86/12.36 thf(zip_derived_cl0, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [subclass_members])).
% 81.86/12.36 thf(zip_derived_cl495, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 81.86/12.36 thf(zip_derived_cl521, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X0 @ X1)
% 81.86/12.36 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl495])).
% 81.86/12.36 thf(zip_derived_cl2136, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X1 @ (complement @ X0))
% 81.86/12.36 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 81.86/12.36 inference('clc', [status(thm)], [zip_derived_cl614, zip_derived_cl521])).
% 81.86/12.36 thf(zip_derived_cl2175, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @ X2 @ (union @ X1 @ X0))
% 81.86/12.36 | (member @ (not_subclass_element @ X2 @ (union @ X1 @ X0)) @
% 81.86/12.36 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 81.86/12.36 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl2136])).
% 81.86/12.36 thf(zip_derived_cl24, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ universal_class)
% 81.86/12.36 | (member @ X0 @ (complement @ X1))
% 81.86/12.36 | (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement2])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(complement1, axiom,
% 81.86/12.36 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 81.86/12.36 thf(zip_derived_cl23, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement1])).
% 81.86/12.36 thf(zip_derived_cl497, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ (complement @ X0) @ X1)
% 81.86/12.36 | ~ (member @ (not_subclass_element @ (complement @ X0) @ X1) @ X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl23])).
% 81.86/12.36 thf(zip_derived_cl615, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @
% 81.86/12.36 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @ X0)
% 81.86/12.36 | ~ (member @
% 81.86/12.36 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 81.86/12.36 universal_class)
% 81.86/12.36 | (subclass @ (complement @ (complement @ X0)) @ X1))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl497])).
% 81.86/12.36 thf(zip_derived_cl521, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X0 @ X1)
% 81.86/12.36 | (member @ (not_subclass_element @ X0 @ X1) @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl495])).
% 81.86/12.36 thf(zip_derived_cl2220, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ (complement @ (complement @ X0)) @ X1)
% 81.86/12.36 | (member @
% 81.86/12.36 (not_subclass_element @ (complement @ (complement @ X0)) @ X1) @
% 81.86/12.36 X0))),
% 81.86/12.36 inference('clc', [status(thm)], [zip_derived_cl615, zip_derived_cl521])).
% 81.86/12.36 thf(zip_derived_cl2, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members2])).
% 81.86/12.36 thf(zip_derived_cl2249, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 ( (subclass @ (complement @ (complement @ X0)) @ X0)
% 81.86/12.36 | (subclass @ (complement @ (complement @ X0)) @ X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl2220, zip_derived_cl2])).
% 81.86/12.36 thf(zip_derived_cl2260, plain,
% 81.86/12.36 (![X0 : $i]: (subclass @ (complement @ (complement @ X0)) @ X0)),
% 81.86/12.36 inference('simplify', [status(thm)], [zip_derived_cl2249])).
% 81.86/12.36 thf(subclass_implies_equal, axiom,
% 81.86/12.36 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 81.86/12.36 thf(zip_derived_cl6, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 81.86/12.36 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 81.86/12.36 thf(zip_derived_cl2265, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 (~ (subclass @ X0 @ (complement @ (complement @ X0)))
% 81.86/12.36 | ((complement @ (complement @ X0)) = (X0)))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl2260, zip_derived_cl6])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(zip_derived_cl2136, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X1 @ (complement @ X0))
% 81.86/12.36 | (member @ (not_subclass_element @ X1 @ (complement @ X0)) @ X0))),
% 81.86/12.36 inference('clc', [status(thm)], [zip_derived_cl614, zip_derived_cl521])).
% 81.86/12.36 thf(zip_derived_cl23, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement1])).
% 81.86/12.36 thf(zip_derived_cl2149, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X1 @ (complement @ (complement @ X0)))
% 81.86/12.36 | ~ (member @
% 81.86/12.36 (not_subclass_element @ X1 @ (complement @ (complement @ X0))) @
% 81.86/12.36 X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl2136, zip_derived_cl23])).
% 81.86/12.36 thf(zip_derived_cl3862, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 ( (subclass @ X0 @ (complement @ (complement @ X0)))
% 81.86/12.36 | (subclass @ X0 @ (complement @ (complement @ X0))))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl2149])).
% 81.86/12.36 thf(zip_derived_cl3879, plain,
% 81.86/12.36 (![X0 : $i]: (subclass @ X0 @ (complement @ (complement @ X0)))),
% 81.86/12.36 inference('simplify', [status(thm)], [zip_derived_cl3862])).
% 81.86/12.36 thf(zip_derived_cl3918, plain,
% 81.86/12.36 (![X0 : $i]: ((complement @ (complement @ X0)) = (X0))),
% 81.86/12.36 inference('demod', [status(thm)],
% 81.86/12.36 [zip_derived_cl2265, zip_derived_cl3879])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(intersection2, axiom,
% 81.86/12.36 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 81.86/12.36 thf(zip_derived_cl21, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 81.86/12.36 inference('cnf', [status(esa)], [intersection2])).
% 81.86/12.36 thf(zip_derived_cl557, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 81.86/12.36 | (member @
% 81.86/12.36 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 81.86/12.36 thf(zip_derived_cl21, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 81.86/12.36 inference('cnf', [status(esa)], [intersection2])).
% 81.86/12.36 thf(zip_derived_cl1487, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 81.86/12.36 ( (subclass @ (intersection @ X3 @ (intersection @ X1 @ X0)) @ X2)
% 81.86/12.36 | (member @
% 81.86/12.36 (not_subclass_element @
% 81.86/12.36 (intersection @ X3 @ (intersection @ X1 @ X0)) @ X2) @
% 81.86/12.36 X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl21])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(intersection1, axiom,
% 81.86/12.36 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 81.86/12.36 thf(zip_derived_cl20, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [intersection1])).
% 81.86/12.36 thf(zip_derived_cl541, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 81.86/12.36 | (member @
% 81.86/12.36 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 81.86/12.36 thf(zip_derived_cl23, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement1])).
% 81.86/12.36 thf(zip_derived_cl1306, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @ (intersection @ (complement @ X0) @ X2) @ X1)
% 81.86/12.36 | ~ (member @
% 81.86/12.36 (not_subclass_element @
% 81.86/12.36 (intersection @ (complement @ X0) @ X2) @ X1) @
% 81.86/12.36 X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl541, zip_derived_cl23])).
% 81.86/12.36 thf(zip_derived_cl22318, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @
% 81.86/12.36 (intersection @ (complement @ X0) @ (intersection @ X2 @ X0)) @ X1)
% 81.86/12.36 | (subclass @
% 81.86/12.36 (intersection @ (complement @ X0) @ (intersection @ X2 @ X0)) @
% 81.86/12.36 X1))),
% 81.86/12.36 inference('s_sup-', [status(thm)],
% 81.86/12.36 [zip_derived_cl1487, zip_derived_cl1306])).
% 81.86/12.36 thf(zip_derived_cl22413, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (subclass @
% 81.86/12.36 (intersection @ (complement @ X0) @ (intersection @ X2 @ X0)) @ X1)),
% 81.86/12.36 inference('simplify', [status(thm)], [zip_derived_cl22318])).
% 81.86/12.36 thf(zip_derived_cl1, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 81.86/12.36 | (subclass @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [not_subclass_members1])).
% 81.86/12.36 thf(regularity1, axiom,
% 81.86/12.36 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 81.86/12.36 thf(zip_derived_cl65, plain,
% 81.86/12.36 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 81.86/12.36 inference('cnf', [status(esa)], [regularity1])).
% 81.86/12.36 thf(zip_derived_cl495, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 81.86/12.36 thf(zip_derived_cl546, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl495])).
% 81.86/12.36 thf(zip_derived_cl65, plain,
% 81.86/12.36 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 81.86/12.36 inference('cnf', [status(esa)], [regularity1])).
% 81.86/12.36 thf(zip_derived_cl23, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement1])).
% 81.86/12.36 thf(zip_derived_cl550, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 (((complement @ X0) = (null_class))
% 81.86/12.36 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 81.86/12.36 thf(zip_derived_cl592, plain,
% 81.86/12.36 ((((complement @ universal_class) = (null_class))
% 81.86/12.36 | ((complement @ universal_class) = (null_class)))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl546, zip_derived_cl550])).
% 81.86/12.36 thf(zip_derived_cl593, plain,
% 81.86/12.36 (((complement @ universal_class) = (null_class))),
% 81.86/12.36 inference('simplify', [status(thm)], [zip_derived_cl592])).
% 81.86/12.36 thf(zip_derived_cl23, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 81.86/12.36 inference('cnf', [status(esa)], [complement1])).
% 81.86/12.36 thf(zip_derived_cl594, plain,
% 81.86/12.36 (![X0 : $i]:
% 81.86/12.36 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl593, zip_derived_cl23])).
% 81.86/12.36 thf(zip_derived_cl495, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 81.86/12.36 thf(zip_derived_cl606, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 81.86/12.36 inference('clc', [status(thm)], [zip_derived_cl594, zip_derived_cl495])).
% 81.86/12.36 thf(zip_derived_cl607, plain, (![X0 : $i]: (subclass @ null_class @ X0)),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl606])).
% 81.86/12.36 thf(zip_derived_cl6, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 81.86/12.36 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 81.86/12.36 thf(zip_derived_cl619, plain,
% 81.86/12.36 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((null_class) = (X0)))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl607, zip_derived_cl6])).
% 81.86/12.36 thf(zip_derived_cl23816, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ((null_class)
% 81.86/12.36 = (intersection @ (complement @ X0) @ (intersection @ X1 @ X0)))),
% 81.86/12.36 inference('s_sup-', [status(thm)],
% 81.86/12.36 [zip_derived_cl22413, zip_derived_cl619])).
% 81.86/12.36 thf(intersection3, axiom,
% 81.86/12.36 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 81.86/12.36 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 81.86/12.36 thf(zip_derived_cl22, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X0 @ X1)
% 81.86/12.36 | ~ (member @ X0 @ X2)
% 81.86/12.36 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 81.86/12.36 inference('cnf', [status(esa)], [intersection3])).
% 81.86/12.36 thf(zip_derived_cl39195, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X2 @ (complement @ X0))
% 81.86/12.36 | ~ (member @ X2 @ (intersection @ X1 @ X0))
% 81.86/12.36 | (member @ X2 @ null_class))),
% 81.86/12.36 inference('s_sup+', [status(thm)],
% 81.86/12.36 [zip_derived_cl23816, zip_derived_cl22])).
% 81.86/12.36 thf(zip_derived_cl606, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 81.86/12.36 inference('clc', [status(thm)], [zip_derived_cl594, zip_derived_cl495])).
% 81.86/12.36 thf(zip_derived_cl39355, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X2 @ (complement @ X0))
% 81.86/12.36 | ~ (member @ X2 @ (intersection @ X1 @ X0)))),
% 81.86/12.36 inference('demod', [status(thm)],
% 81.86/12.36 [zip_derived_cl39195, zip_derived_cl606])).
% 81.86/12.36 thf(zip_derived_cl39447, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 (~ (member @ X1 @ X0)
% 81.86/12.36 | ~ (member @ X1 @ (intersection @ X2 @ (complement @ X0))))),
% 81.86/12.36 inference('s_sup-', [status(thm)],
% 81.86/12.36 [zip_derived_cl3918, zip_derived_cl39355])).
% 81.86/12.36 thf(zip_derived_cl58414, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 81.86/12.36 ( (subclass @ X2 @ (union @ X1 @ X0))
% 81.86/12.36 | ~ (member @ (not_subclass_element @ X2 @ (union @ X1 @ X0)) @ X0))),
% 81.86/12.36 inference('s_sup-', [status(thm)],
% 81.86/12.36 [zip_derived_cl2175, zip_derived_cl39447])).
% 81.86/12.36 thf(zip_derived_cl69260, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]:
% 81.86/12.36 ( (subclass @ X0 @ (union @ X1 @ X0))
% 81.86/12.36 | (subclass @ X0 @ (union @ X1 @ X0)))),
% 81.86/12.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl58414])).
% 81.86/12.36 thf(zip_derived_cl69340, plain,
% 81.86/12.36 (![X0 : $i, X1 : $i]: (subclass @ X0 @ (union @ X1 @ X0))),
% 81.86/12.36 inference('simplify', [status(thm)], [zip_derived_cl69260])).
% 81.86/12.36 thf(zip_derived_cl69409, plain, ($false),
% 81.86/12.36 inference('demod', [status(thm)],
% 81.86/12.36 [zip_derived_cl112, zip_derived_cl69340])).
% 81.86/12.36
% 81.86/12.36 % SZS output end Refutation
% 81.86/12.36
% 81.86/12.36
% 81.86/12.36 % Terminating...
% 81.87/12.41 % Runner terminated.
% 81.87/12.42 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------