TSTP Solution File: SET199-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET199-6 : 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.nA5v43l56i true
% Computer : n026.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 16:13:24 EDT 2023
% Result : Unsatisfiable 15.79s 2.91s
% Output : Refutation 15.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET199-6 : 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.nA5v43l56i true
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 11:49:33 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 15.79/2.91 % Solved by fo/fo1_lcnf.sh.
% 15.79/2.91 % done 2547 iterations in 2.105s
% 15.79/2.91 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 15.79/2.91 % SZS output start Refutation
% 15.79/2.91 thf(member_type, type, member: $i > $i > $o).
% 15.79/2.91 thf(z_type, type, z: $i).
% 15.79/2.91 thf(intersection_type, type, intersection: $i > $i > $i).
% 15.79/2.91 thf(subclass_type, type, subclass: $i > $i > $o).
% 15.79/2.91 thf(x_type, type, x: $i).
% 15.79/2.91 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 15.79/2.91 thf(y_type, type, y: $i).
% 15.79/2.91 thf(prove_greatest_lower_bound_3, conjecture,
% 15.79/2.91 (subclass @ z @ ( intersection @ x @ y ))).
% 15.79/2.91 thf(zf_stmt_0, negated_conjecture,
% 15.79/2.91 (~( subclass @ z @ ( intersection @ x @ y ) )),
% 15.79/2.91 inference('cnf.neg', [status(esa)], [prove_greatest_lower_bound_3])).
% 15.79/2.91 thf(zip_derived_cl114, plain, (~ (subclass @ z @ (intersection @ x @ y))),
% 15.79/2.91 inference('cnf', [status(esa)], [zf_stmt_0])).
% 15.79/2.91 thf(not_subclass_members1, axiom,
% 15.79/2.91 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 15.79/2.91 thf(zip_derived_cl1, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (((member @ (not_subclass_element @ X0 @ X1) @ X0) | (subclass @
% 15.79/2.91 X0 @ X1)))),
% 15.79/2.91 inference('cnf', [status(esa)], [not_subclass_members1])).
% 15.79/2.91 thf(zip_derived_cl122, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 15.79/2.91 thf(intersection3, axiom,
% 15.79/2.91 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 15.79/2.91 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 15.79/2.91 thf(zip_derived_cl22, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (((((~) @ (member @ X0 @ X1))) | (((~) @ (member @ X0 @ X2))) |
% 15.79/2.91 (member @ X0 @ (intersection @ X1 @ X2))))),
% 15.79/2.91 inference('cnf', [status(esa)], [intersection3])).
% 15.79/2.91 thf(zip_derived_cl476, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ X0 @ X1)
% 15.79/2.91 | ~ (member @ X0 @ X2)
% 15.79/2.91 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 15.79/2.91 thf(intersection1, axiom,
% 15.79/2.91 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 15.79/2.91 thf(zip_derived_cl20, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 15.79/2.91 X0 @ X1)))),
% 15.79/2.91 inference('cnf', [status(esa)], [intersection1])).
% 15.79/2.91 thf(zip_derived_cl296, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 15.79/2.91 thf(zip_derived_cl122, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 15.79/2.91 thf(zip_derived_cl297, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 15.79/2.91 X1)
% 15.79/2.91 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl297, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 15.79/2.91 X1)
% 15.79/2.91 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl122])).
% 15.79/2.91 thf(not_subclass_members2, axiom,
% 15.79/2.91 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 15.79/2.91 ( subclass @ X @ Y ))).
% 15.79/2.91 thf(zip_derived_cl2, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (((((~) @ (member @ (not_subclass_element @ X0 @ X1) @ X1))) |
% 15.79/2.91 (subclass @ X0 @ X1)))),
% 15.79/2.91 inference('cnf', [status(esa)], [not_subclass_members2])).
% 15.79/2.91 thf(zip_derived_cl137, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 15.79/2.91 thf(prove_greatest_lower_bound_1, conjecture, (~( subclass @ z @ x ))).
% 15.79/2.91 thf(zf_stmt_1, negated_conjecture, (subclass @ z @ x),
% 15.79/2.91 inference('cnf.neg', [status(esa)], [prove_greatest_lower_bound_1])).
% 15.79/2.91 thf(zip_derived_cl112, plain, ( (subclass @ z @ x)),
% 15.79/2.91 inference('cnf', [status(esa)], [zf_stmt_1])).
% 15.79/2.91 thf(subclass_members, axiom,
% 15.79/2.91 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 15.79/2.91 thf(zip_derived_cl0, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 15.79/2.91 (member @ X2 @ X1)))),
% 15.79/2.91 inference('cnf', [status(esa)], [subclass_members])).
% 15.79/2.91 thf(zip_derived_cl115, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 15.79/2.91 thf(zip_derived_cl116, plain,
% 15.79/2.91 (![X0 : $i]: (~ (member @ X0 @ z) | (member @ X0 @ x))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl115])).
% 15.79/2.91 thf(zip_derived_cl138, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ X0 @ x)
% 15.79/2.91 | ~ (member @ (not_subclass_element @ X0 @ x) @ z))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl116])).
% 15.79/2.91 thf(zip_derived_cl2366, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ (intersection @ z @ X0) @ x)
% 15.79/2.91 | (subclass @ (intersection @ z @ X0) @ x))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl138])).
% 15.79/2.91 thf(zip_derived_cl2391, plain,
% 15.79/2.91 (![X0 : $i]: (subclass @ (intersection @ z @ X0) @ x)),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl2366])).
% 15.79/2.91 thf(zip_derived_cl115, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 15.79/2.91 thf(zip_derived_cl2393, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ X1 @ (intersection @ z @ X0)) | (member @ X1 @ x))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl2391, zip_derived_cl115])).
% 15.79/2.91 thf(zip_derived_cl122, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 15.79/2.91 thf(zip_derived_cl2398, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ z @ X0) @ X1) @ x)
% 15.79/2.91 | (subclass @ (intersection @ z @ X0) @ X1))),
% 15.79/2.91 inference('s_sup+', [status(thm)],
% 15.79/2.91 [zip_derived_cl2393, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl476, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ X0 @ X1)
% 15.79/2.91 | ~ (member @ X0 @ X2)
% 15.79/2.91 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl22])).
% 15.79/2.91 thf(zip_derived_cl137, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 15.79/2.91 thf(zip_derived_cl480, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 15.79/2.91 X0)
% 15.79/2.91 | ~ (member @
% 15.79/2.91 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 15.79/2.91 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl137])).
% 15.79/2.91 thf(zip_derived_cl5525, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (subclass @ (intersection @ z @ X1) @ (intersection @ X0 @ x))
% 15.79/2.91 | ~ (member @
% 15.79/2.91 (not_subclass_element @ (intersection @ z @ X1) @
% 15.79/2.91 (intersection @ X0 @ x)) @
% 15.79/2.91 X0)
% 15.79/2.91 | (subclass @ (intersection @ z @ X1) @ (intersection @ X0 @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl2398, zip_derived_cl480])).
% 15.79/2.91 thf(zip_derived_cl5556, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @
% 15.79/2.91 (not_subclass_element @ (intersection @ z @ X1) @
% 15.79/2.91 (intersection @ X0 @ x)) @
% 15.79/2.91 X0)
% 15.79/2.91 | (subclass @ (intersection @ z @ X1) @ (intersection @ X0 @ x)))),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl5525])).
% 15.79/2.91 thf(zip_derived_cl6870, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ (intersection @ z @ X0) @ (intersection @ z @ x))
% 15.79/2.91 | (subclass @ (intersection @ z @ X0) @ (intersection @ z @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl297, zip_derived_cl5556])).
% 15.79/2.91 thf(zip_derived_cl6891, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 (subclass @ (intersection @ z @ X0) @ (intersection @ z @ x))),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl6870])).
% 15.79/2.91 thf(zip_derived_cl115, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 15.79/2.91 thf(zip_derived_cl6959, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ X1 @ (intersection @ z @ X0))
% 15.79/2.91 | (member @ X1 @ (intersection @ z @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl6891, zip_derived_cl115])).
% 15.79/2.91 thf(zip_derived_cl6964, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ X1 @ X0)
% 15.79/2.91 | ~ (member @ X1 @ z)
% 15.79/2.91 | (member @ X1 @ (intersection @ z @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl476, zip_derived_cl6959])).
% 15.79/2.91 thf(zip_derived_cl6985, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (member @ X0 @ (intersection @ z @ x)) | ~ (member @ X0 @ z))),
% 15.79/2.91 inference('condensation', [status(thm)], [zip_derived_cl6964])).
% 15.79/2.91 thf(zip_derived_cl137, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 15.79/2.91 thf(zip_derived_cl6996, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ (intersection @ z @ x)) @ z)
% 15.79/2.91 | (subclass @ X0 @ (intersection @ z @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl6985, zip_derived_cl137])).
% 15.79/2.91 thf(zip_derived_cl8325, plain,
% 15.79/2.91 (( (subclass @ z @ (intersection @ z @ x))
% 15.79/2.91 | (subclass @ z @ (intersection @ z @ x)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl122, zip_derived_cl6996])).
% 15.79/2.91 thf(zip_derived_cl8328, plain, ( (subclass @ z @ (intersection @ z @ x))),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl8325])).
% 15.79/2.91 thf(zip_derived_cl297, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 15.79/2.91 X1)
% 15.79/2.91 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl137, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 15.79/2.91 thf(zip_derived_cl2364, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ (intersection @ X0 @ X1) @ X0))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl137])).
% 15.79/2.91 thf(zip_derived_cl2389, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X0 @ X1) @ X0)),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl2364])).
% 15.79/2.91 thf(subclass_implies_equal, axiom,
% 15.79/2.91 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 15.79/2.91 thf(zip_derived_cl6, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (subclass @ X1 @ X0))) |
% 15.79/2.91 (((X0) = (X1)))))),
% 15.79/2.91 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 15.79/2.91 thf(zip_derived_cl170, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | (((X0) = (X1))))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 15.79/2.91 thf(zip_derived_cl171, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 15.79/2.91 inference('simplify nested equalities', [status(thm)],
% 15.79/2.91 [zip_derived_cl170])).
% 15.79/2.91 thf(zip_derived_cl2722, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ (intersection @ X0 @ X1))
% 15.79/2.91 | ((intersection @ X0 @ X1) = (X0)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl2389, zip_derived_cl171])).
% 15.79/2.91 thf(zip_derived_cl8336, plain, (((intersection @ z @ x) = (z))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl8328, zip_derived_cl2722])).
% 15.79/2.91 thf(intersection2, axiom,
% 15.79/2.91 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 15.79/2.91 thf(zip_derived_cl21, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 15.79/2.91 X0 @ X2)))),
% 15.79/2.91 inference('cnf', [status(esa)], [intersection2])).
% 15.79/2.91 thf(zip_derived_cl307, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl21])).
% 15.79/2.91 thf(zip_derived_cl122, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 15.79/2.91 thf(zip_derived_cl308, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 15.79/2.91 X0)
% 15.79/2.91 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl307, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl8376, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ z @ X0) @ x)
% 15.79/2.91 | (subclass @ z @ X0))),
% 15.79/2.91 inference('s_sup+', [status(thm)],
% 15.79/2.91 [zip_derived_cl8336, zip_derived_cl308])).
% 15.79/2.91 thf(zip_derived_cl8336, plain, (((intersection @ z @ x) = (z))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl8328, zip_derived_cl2722])).
% 15.79/2.91 thf(zip_derived_cl297, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @
% 15.79/2.91 X1)
% 15.79/2.91 | (subclass @ (intersection @ X1 @ X0) @ X2))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl296, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl137, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 15.79/2.91 thf(prove_greatest_lower_bound_2, conjecture, (~( subclass @ z @ y ))).
% 15.79/2.91 thf(zf_stmt_2, negated_conjecture, (subclass @ z @ y),
% 15.79/2.91 inference('cnf.neg', [status(esa)], [prove_greatest_lower_bound_2])).
% 15.79/2.91 thf(zip_derived_cl113, plain, ( (subclass @ z @ y)),
% 15.79/2.91 inference('cnf', [status(esa)], [zf_stmt_2])).
% 15.79/2.91 thf(zip_derived_cl115, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 15.79/2.91 thf(zip_derived_cl117, plain,
% 15.79/2.91 (![X0 : $i]: (~ (member @ X0 @ z) | (member @ X0 @ y))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl115])).
% 15.79/2.91 thf(zip_derived_cl139, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ X0 @ y)
% 15.79/2.91 | ~ (member @ (not_subclass_element @ X0 @ y) @ z))),
% 15.79/2.91 inference('s_sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl117])).
% 15.79/2.91 thf(zip_derived_cl2367, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ (intersection @ z @ X0) @ y)
% 15.79/2.91 | (subclass @ (intersection @ z @ X0) @ y))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl139])).
% 15.79/2.91 thf(zip_derived_cl2392, plain,
% 15.79/2.91 (![X0 : $i]: (subclass @ (intersection @ z @ X0) @ y)),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl2367])).
% 15.79/2.91 thf(zip_derived_cl115, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 15.79/2.91 thf(zip_derived_cl2415, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 (~ (member @ X1 @ (intersection @ z @ X0)) | (member @ X1 @ y))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl2392, zip_derived_cl115])).
% 15.79/2.91 thf(zip_derived_cl122, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 15.79/2.91 | (subclass @ X0 @ X1))),
% 15.79/2.91 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 15.79/2.91 thf(zip_derived_cl2529, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ (intersection @ z @ X0) @ X1) @ y)
% 15.79/2.91 | (subclass @ (intersection @ z @ X0) @ X1))),
% 15.79/2.91 inference('s_sup+', [status(thm)],
% 15.79/2.91 [zip_derived_cl2415, zip_derived_cl122])).
% 15.79/2.91 thf(zip_derived_cl8400, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (member @ (not_subclass_element @ z @ X0) @ y)
% 15.79/2.91 | (subclass @ z @ X0))),
% 15.79/2.91 inference('s_sup+', [status(thm)],
% 15.79/2.91 [zip_derived_cl8336, zip_derived_cl2529])).
% 15.79/2.91 thf(zip_derived_cl480, plain,
% 15.79/2.91 (![X0 : $i, X1 : $i, X2 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 15.79/2.91 X0)
% 15.79/2.91 | ~ (member @
% 15.79/2.91 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 15.79/2.91 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 15.79/2.91 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl137])).
% 15.79/2.91 thf(zip_derived_cl9827, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 ( (subclass @ z @ (intersection @ X0 @ y))
% 15.79/2.91 | ~ (member @ (not_subclass_element @ z @ (intersection @ X0 @ y)) @
% 15.79/2.91 X0)
% 15.79/2.91 | (subclass @ z @ (intersection @ X0 @ y)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl8400, zip_derived_cl480])).
% 15.79/2.91 thf(zip_derived_cl9829, plain,
% 15.79/2.91 (![X0 : $i]:
% 15.79/2.91 (~ (member @ (not_subclass_element @ z @ (intersection @ X0 @ y)) @ X0)
% 15.79/2.91 | (subclass @ z @ (intersection @ X0 @ y)))),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl9827])).
% 15.79/2.91 thf(zip_derived_cl11815, plain,
% 15.79/2.91 (( (subclass @ z @ (intersection @ x @ y))
% 15.79/2.91 | (subclass @ z @ (intersection @ x @ y)))),
% 15.79/2.91 inference('s_sup-', [status(thm)],
% 15.79/2.91 [zip_derived_cl8376, zip_derived_cl9829])).
% 15.79/2.91 thf(zip_derived_cl11834, plain, ( (subclass @ z @ (intersection @ x @ y))),
% 15.79/2.91 inference('simplify', [status(thm)], [zip_derived_cl11815])).
% 15.79/2.91 thf(zip_derived_cl12000, plain, ($false),
% 15.79/2.91 inference('demod', [status(thm)],
% 15.79/2.91 [zip_derived_cl114, zip_derived_cl11834])).
% 15.79/2.91
% 15.79/2.91 % SZS output end Refutation
% 15.79/2.91
% 15.79/2.91
% 15.79/2.91 % Terminating...
% 16.31/2.98 % Runner terminated.
% 16.31/3.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------