TSTP Solution File: SET013-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET013-2 : 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.18x8AzPzYZ true
% Computer : n005.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 16:11:41 EDT 2023
% Result : Unsatisfiable 62.47s 9.59s
% Output : Refutation 62.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.18x8AzPzYZ true
% 0.14/0.35 % Computer : n005.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 11:20:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.63/0.69 % Total configuration time : 435
% 0.63/0.69 % Estimated wc time : 1092
% 0.63/0.69 % Estimated cpu time (7 cpus) : 156.0
% 0.67/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.67/0.75 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.67/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.67/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 62.47/9.59 % Solved by fo/fo3_bce.sh.
% 62.47/9.59 % BCE start: 24
% 62.47/9.59 % BCE eliminated: 0
% 62.47/9.59 % PE start: 24
% 62.47/9.59 logic: neq
% 62.47/9.59 % PE eliminated: 0
% 62.47/9.59 % done 7695 iterations in 8.811s
% 62.47/9.59 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 62.47/9.59 % SZS output start Refutation
% 62.47/9.59 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 62.47/9.59 thf(intersection_type, type, intersection: $i > $i > $i).
% 62.47/9.59 thf(ds_type, type, ds: $i).
% 62.47/9.59 thf(subset_type, type, subset: $i > $i > $o).
% 62.47/9.59 thf(bs_type, type, bs: $i).
% 62.47/9.59 thf(cs_type, type, cs: $i).
% 62.47/9.59 thf(member_type, type, member: $i > $i > $o).
% 62.47/9.59 thf(as_type, type, as: $i).
% 62.47/9.59 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 62.47/9.59 thf(subsets_are_set_equal_sets, axiom,
% 62.47/9.59 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 62.47/9.59 ( equal_sets @ Set2 @ Set1 ))).
% 62.47/9.59 thf(zip_derived_cl14, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 62.47/9.59 thf(prove_c_equals_d, conjecture, (equal_sets @ cs @ ds)).
% 62.47/9.59 thf(zf_stmt_0, negated_conjecture, (~( equal_sets @ cs @ ds )),
% 62.47/9.59 inference('cnf.neg', [status(esa)], [prove_c_equals_d])).
% 62.47/9.59 thf(zip_derived_cl23, plain, (~ (equal_sets @ cs @ ds)),
% 62.47/9.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 62.47/9.59 thf(zip_derived_cl78, plain, ((~ (subset @ cs @ ds) | ~ (subset @ ds @ cs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl23])).
% 62.47/9.59 thf(intersection_of_b_and_a_is_d, axiom,
% 62.47/9.59 (equal_sets @ ( intersection @ bs @ as ) @ ds)).
% 62.47/9.59 thf(zip_derived_cl22, plain, ( (equal_sets @ (intersection @ bs @ as) @ ds)),
% 62.47/9.59 inference('cnf', [status(esa)], [intersection_of_b_and_a_is_d])).
% 62.47/9.59 thf(set_equal_sets_are_subsets1, axiom,
% 62.47/9.59 (( ~( equal_sets @ Subset @ Superset ) ) | ( subset @ Subset @ Superset ))).
% 62.47/9.59 thf(zip_derived_cl12, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)], [set_equal_sets_are_subsets1])).
% 62.47/9.59 thf(zip_derived_cl54, plain, ( (subset @ (intersection @ bs @ as) @ ds)),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl12])).
% 62.47/9.59 thf(membership_in_subsets, axiom,
% 62.47/9.59 (( ~( member @ Element @ Subset ) ) |
% 62.47/9.59 ( ~( subset @ Subset @ Superset ) ) | ( member @ Element @ Superset ))).
% 62.47/9.59 thf(zip_derived_cl1, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)], [membership_in_subsets])).
% 62.47/9.59 thf(zip_derived_cl205, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ ds) | ~ (member @ X0 @ (intersection @ bs @ as)))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl1])).
% 62.47/9.59 thf(member_of_both_is_member_of_intersection, axiom,
% 62.47/9.59 (( ~( member @ X @ Xs ) ) | ( ~( member @ X @ Ys ) ) |
% 62.47/9.59 ( member @ X @ ( intersection @ Xs @ Ys ) ))).
% 62.47/9.59 thf(zip_derived_cl9, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1)
% 62.47/9.59 | ~ (member @ X0 @ X2)
% 62.47/9.59 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_both_is_member_of_intersection])).
% 62.47/9.59 thf(zip_derived_cl239, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ ds) | ~ (member @ X0 @ as) | ~ (member @ X0 @ bs))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl205, zip_derived_cl9])).
% 62.47/9.59 thf(subsets_axiom2, axiom,
% 62.47/9.59 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 62.47/9.59 ( subset @ Subset @ Superset ))).
% 62.47/9.59 thf(zip_derived_cl3, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 62.47/9.59 | (subset @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom2])).
% 62.47/9.59 thf(zip_derived_cl625, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 (~ (member @ (member_of_1_not_of_2 @ X0 @ ds) @ bs)
% 62.47/9.59 | ~ (member @ (member_of_1_not_of_2 @ X0 @ ds) @ as)
% 62.47/9.59 | (subset @ X0 @ ds))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl239, zip_derived_cl3])).
% 62.47/9.59 thf(intersection_of_a_and_b_is_c, axiom,
% 62.47/9.59 (equal_sets @ ( intersection @ as @ bs ) @ cs)).
% 62.47/9.59 thf(zip_derived_cl21, plain, ( (equal_sets @ (intersection @ as @ bs) @ cs)),
% 62.47/9.59 inference('cnf', [status(esa)], [intersection_of_a_and_b_is_c])).
% 62.47/9.59 thf(set_equal_sets_are_subsets2, axiom,
% 62.47/9.59 (( ~( equal_sets @ Superset @ Subset ) ) | ( subset @ Subset @ Superset ))).
% 62.47/9.59 thf(zip_derived_cl13, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X1 @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [set_equal_sets_are_subsets2])).
% 62.47/9.59 thf(zip_derived_cl33, plain, ( (subset @ cs @ (intersection @ as @ bs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl13])).
% 62.47/9.59 thf(zip_derived_cl1, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)], [membership_in_subsets])).
% 62.47/9.59 thf(zip_derived_cl162, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ (intersection @ as @ bs)) | ~ (member @ X0 @ cs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 62.47/9.59 thf(member_of_intersection_is_member_of_set2, axiom,
% 62.47/9.59 (( ~( member @ X @ ( intersection @ Xs @ Ys ) ) ) | ( member @ X @ Ys ))).
% 62.47/9.59 thf(zip_derived_cl11, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_intersection_is_member_of_set2])).
% 62.47/9.59 thf(zip_derived_cl1095, plain,
% 62.47/9.59 (![X0 : $i]: (~ (member @ X0 @ cs) | (member @ X0 @ bs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl11])).
% 62.47/9.59 thf(subsets_axiom1, axiom,
% 62.47/9.59 (( subset @ Subset @ Superset ) |
% 62.47/9.59 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 62.47/9.59 thf(zip_derived_cl2, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 ( (subset @ X0 @ X1)
% 62.47/9.59 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom1])).
% 62.47/9.59 thf(zip_derived_cl1126, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ (member_of_1_not_of_2 @ cs @ X0) @ bs)
% 62.47/9.59 | (subset @ cs @ X0))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl1095, zip_derived_cl2])).
% 62.47/9.59 thf(zip_derived_cl52055, plain,
% 62.47/9.59 (( (subset @ cs @ ds)
% 62.47/9.59 | ~ (member @ (member_of_1_not_of_2 @ cs @ ds) @ as)
% 62.47/9.59 | (subset @ cs @ ds))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl625, zip_derived_cl1126])).
% 62.47/9.59 thf(zip_derived_cl52074, plain,
% 62.47/9.59 ((~ (member @ (member_of_1_not_of_2 @ cs @ ds) @ as)
% 62.47/9.59 | (subset @ cs @ ds))),
% 62.47/9.59 inference('simplify', [status(thm)], [zip_derived_cl52055])).
% 62.47/9.59 thf(zip_derived_cl162, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ (intersection @ as @ bs)) | ~ (member @ X0 @ cs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl1])).
% 62.47/9.59 thf(member_of_intersection_is_member_of_set1, axiom,
% 62.47/9.59 (( ~( member @ X @ ( intersection @ Xs @ Ys ) ) ) | ( member @ X @ Xs ))).
% 62.47/9.59 thf(zip_derived_cl10, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_intersection_is_member_of_set1])).
% 62.47/9.59 thf(zip_derived_cl1094, plain,
% 62.47/9.59 (![X0 : $i]: (~ (member @ X0 @ cs) | (member @ X0 @ as))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl10])).
% 62.47/9.59 thf(zip_derived_cl2, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 ( (subset @ X0 @ X1)
% 62.47/9.59 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom1])).
% 62.47/9.59 thf(zip_derived_cl1110, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ (member_of_1_not_of_2 @ cs @ X0) @ as)
% 62.47/9.59 | (subset @ cs @ X0))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl1094, zip_derived_cl2])).
% 62.47/9.59 thf(zip_derived_cl52114, plain, ( (subset @ cs @ ds)),
% 62.47/9.59 inference('clc', [status(thm)], [zip_derived_cl52074, zip_derived_cl1110])).
% 62.47/9.59 thf(zip_derived_cl52115, plain, (~ (subset @ ds @ cs)),
% 62.47/9.59 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl52114])).
% 62.47/9.59 thf(zip_derived_cl22, plain, ( (equal_sets @ (intersection @ bs @ as) @ ds)),
% 62.47/9.59 inference('cnf', [status(esa)], [intersection_of_b_and_a_is_d])).
% 62.47/9.59 thf(zip_derived_cl13, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X1 @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [set_equal_sets_are_subsets2])).
% 62.47/9.59 thf(zip_derived_cl55, plain, ( (subset @ ds @ (intersection @ bs @ as))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 62.47/9.59 thf(zip_derived_cl1, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)], [membership_in_subsets])).
% 62.47/9.59 thf(zip_derived_cl209, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ (intersection @ bs @ as)) | ~ (member @ X0 @ ds))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1])).
% 62.47/9.59 thf(zip_derived_cl11, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_intersection_is_member_of_set2])).
% 62.47/9.59 thf(zip_derived_cl1581, plain,
% 62.47/9.59 (![X0 : $i]: (~ (member @ X0 @ ds) | (member @ X0 @ as))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl11])).
% 62.47/9.59 thf(zip_derived_cl2, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 ( (subset @ X0 @ X1)
% 62.47/9.59 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom1])).
% 62.47/9.59 thf(zip_derived_cl1617, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ (member_of_1_not_of_2 @ ds @ X0) @ as)
% 62.47/9.59 | (subset @ ds @ X0))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl1581, zip_derived_cl2])).
% 62.47/9.59 thf(zip_derived_cl21, plain, ( (equal_sets @ (intersection @ as @ bs) @ cs)),
% 62.47/9.59 inference('cnf', [status(esa)], [intersection_of_a_and_b_is_c])).
% 62.47/9.59 thf(zip_derived_cl12, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)], [set_equal_sets_are_subsets1])).
% 62.47/9.59 thf(zip_derived_cl32, plain, ( (subset @ (intersection @ as @ bs) @ cs)),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl12])).
% 62.47/9.59 thf(zip_derived_cl1, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 62.47/9.59 inference('cnf', [status(esa)], [membership_in_subsets])).
% 62.47/9.59 thf(zip_derived_cl117, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ cs) | ~ (member @ X0 @ (intersection @ as @ bs)))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl1])).
% 62.47/9.59 thf(zip_derived_cl9, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ X1)
% 62.47/9.59 | ~ (member @ X0 @ X2)
% 62.47/9.59 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_both_is_member_of_intersection])).
% 62.47/9.59 thf(zip_derived_cl118, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ cs) | ~ (member @ X0 @ bs) | ~ (member @ X0 @ as))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 62.47/9.59 thf(zip_derived_cl3, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 62.47/9.59 | (subset @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom2])).
% 62.47/9.59 thf(zip_derived_cl576, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 (~ (member @ (member_of_1_not_of_2 @ X0 @ cs) @ as)
% 62.47/9.59 | ~ (member @ (member_of_1_not_of_2 @ X0 @ cs) @ bs)
% 62.47/9.59 | (subset @ X0 @ cs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl3])).
% 62.47/9.59 thf(zip_derived_cl209, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ X0 @ (intersection @ bs @ as)) | ~ (member @ X0 @ ds))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl1])).
% 62.47/9.59 thf(zip_derived_cl10, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i, X2 : $i]:
% 62.47/9.59 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 62.47/9.59 inference('cnf', [status(esa)],
% 62.47/9.59 [member_of_intersection_is_member_of_set1])).
% 62.47/9.59 thf(zip_derived_cl1580, plain,
% 62.47/9.59 (![X0 : $i]: (~ (member @ X0 @ ds) | (member @ X0 @ bs))),
% 62.47/9.59 inference('sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl10])).
% 62.47/9.59 thf(zip_derived_cl2, plain,
% 62.47/9.59 (![X0 : $i, X1 : $i]:
% 62.47/9.59 ( (subset @ X0 @ X1)
% 62.47/9.59 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 62.47/9.59 inference('cnf', [status(esa)], [subsets_axiom1])).
% 62.47/9.59 thf(zip_derived_cl1601, plain,
% 62.47/9.59 (![X0 : $i]:
% 62.47/9.59 ( (member @ (member_of_1_not_of_2 @ ds @ X0) @ bs)
% 62.47/9.59 | (subset @ ds @ X0))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl1580, zip_derived_cl2])).
% 62.47/9.59 thf(zip_derived_cl86665, plain,
% 62.47/9.59 (( (subset @ ds @ cs)
% 62.47/9.59 | ~ (member @ (member_of_1_not_of_2 @ ds @ cs) @ as)
% 62.47/9.59 | (subset @ ds @ cs))),
% 62.47/9.59 inference('sup+', [status(thm)], [zip_derived_cl576, zip_derived_cl1601])).
% 62.47/9.59 thf(zip_derived_cl52115, plain, (~ (subset @ ds @ cs)),
% 62.47/9.59 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl52114])).
% 62.47/9.59 thf(zip_derived_cl52115, plain, (~ (subset @ ds @ cs)),
% 62.47/9.59 inference('demod', [status(thm)], [zip_derived_cl78, zip_derived_cl52114])).
% 62.47/9.59 thf(zip_derived_cl86683, plain,
% 62.47/9.59 (~ (member @ (member_of_1_not_of_2 @ ds @ cs) @ as)),
% 62.47/9.59 inference('demod', [status(thm)],
% 62.47/9.59 [zip_derived_cl86665, zip_derived_cl52115, zip_derived_cl52115])).
% 62.47/9.59 thf(zip_derived_cl89516, plain, ( (subset @ ds @ cs)),
% 62.47/9.59 inference('sup-', [status(thm)],
% 62.47/9.59 [zip_derived_cl1617, zip_derived_cl86683])).
% 62.47/9.59 thf(zip_derived_cl89555, plain, ($false),
% 62.47/9.59 inference('demod', [status(thm)],
% 62.47/9.59 [zip_derived_cl52115, zip_derived_cl89516])).
% 62.47/9.59
% 62.47/9.59 % SZS output end Refutation
% 62.47/9.59
% 62.47/9.59
% 62.47/9.59 % Terminating...
% 62.47/9.65 % Runner terminated.
% 62.47/9.65 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------