%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET518-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GRrWreLS6C true
% Computer : n021.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 04:52:12 PM UTC 2025
% Result : Unsatisfiable 278.15s 40.38s
% Output : Refutation 278.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET518-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.GRrWreLS6C true
% 0.13/0.35 % Computer : n021.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 : Wed Oct 1 12:57:38 EDT 2025
% 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
% 0.21/0.36 % Running in FO mode
% 0.54/0.65 % Total configuration time : 435
% 0.54/0.65 % Estimated wc time : 1092
% 0.54/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 278.15/40.38 % Solved by fo/fo5.sh.
% 278.15/40.38 % done 20004 iterations in 39.598s
% 278.15/40.38 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 278.15/40.38 % SZS output start Refutation
% 278.15/40.38 thf(universal_class_type, type, universal_class: $i).
% 278.15/40.38 thf(null_class_type, type, null_class: $i).
% 278.15/40.38 thf(member_type, type, member: $i > $i > $o).
% 278.15/40.38 thf(x_type, type, x: $i).
% 278.15/40.38 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 278.15/40.38 thf(complement_type, type, complement: $i > $i).
% 278.15/40.38 thf(intersection_type, type, intersection: $i > $i > $i).
% 278.15/40.38 thf(subclass_type, type, subclass: $i > $i > $o).
% 278.15/40.38 thf(y_type, type, y: $i).
% 278.15/40.38 thf(regular_type, type, regular: $i > $i).
% 278.15/40.38 thf(regularity1, axiom,
% 278.15/40.38 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 278.15/40.38 thf(zip_derived_cl65, plain,
% 278.15/40.38 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 278.15/40.38 inference('cnf', [status(esa)], [regularity1])).
% 278.15/40.38 thf(unordered_pair_member, axiom,
% 278.15/40.38 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 278.15/40.38 ( ( U ) = ( Y ) ))).
% 278.15/40.38 thf(zip_derived_cl7, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 278.15/40.39 | ((X0) = (X1))
% 278.15/40.39 | ((X0) = (X2)))),
% 278.15/40.39 inference('cnf', [status(esa)], [unordered_pair_member])).
% 278.15/40.39 thf(zip_derived_cl239, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (((unordered_pair @ X1 @ X0) = (null_class))
% 278.15/40.39 | ((regular @ (unordered_pair @ X1 @ X0)) = (X0))
% 278.15/40.39 | ((regular @ (unordered_pair @ X1 @ X0)) = (X1)))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl7])).
% 278.15/40.39 thf(regularity2, axiom,
% 278.15/40.39 (( ( X ) = ( null_class ) ) |
% 278.15/40.39 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 278.15/40.39 thf(zip_derived_cl66, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (((X0) = (null_class))
% 278.15/40.39 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 278.15/40.39 inference('cnf', [status(esa)], [regularity2])).
% 278.15/40.39 thf(zip_derived_cl5278, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (((intersection @ (unordered_pair @ X1 @ X0) @ X0) = (null_class))
% 278.15/40.39 | ((regular @ (unordered_pair @ X1 @ X0)) = (X1))
% 278.15/40.39 | ((unordered_pair @ X1 @ X0) = (null_class))
% 278.15/40.39 | ((unordered_pair @ X1 @ X0) = (null_class)))),
% 278.15/40.39 inference('sup+', [status(thm)], [zip_derived_cl239, zip_derived_cl66])).
% 278.15/40.39 thf(zip_derived_cl5308, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (((unordered_pair @ X1 @ X0) = (null_class))
% 278.15/40.39 | ((regular @ (unordered_pair @ X1 @ X0)) = (X1))
% 278.15/40.39 | ((intersection @ (unordered_pair @ X1 @ X0) @ X0) = (null_class)))),
% 278.15/40.39 inference('simplify', [status(thm)], [zip_derived_cl5278])).
% 278.15/40.39 thf(prove_no_cycles_length_2_2, conjecture, (~( member @ y @ x ))).
% 278.15/40.39 thf(zf_stmt_0, negated_conjecture, (member @ y @ x),
% 278.15/40.39 inference('cnf.neg', [status(esa)], [prove_no_cycles_length_2_2])).
% 278.15/40.39 thf(zip_derived_cl113, plain, ( (member @ y @ x)),
% 278.15/40.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 278.15/40.39 thf(zip_derived_cl113, plain, ( (member @ y @ x)),
% 278.15/40.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 278.15/40.39 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 278.15/40.39 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 278.15/40.39 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 278.15/40.39 thf(subclass_members, axiom,
% 278.15/40.39 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 278.15/40.39 thf(zip_derived_cl0, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 278.15/40.39 inference('cnf', [status(esa)], [subclass_members])).
% 278.15/40.39 thf(zip_derived_cl114, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 278.15/40.39 thf(zip_derived_cl118, plain, ( (member @ y @ universal_class)),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl114])).
% 278.15/40.39 thf(unordered_pair2, axiom,
% 278.15/40.39 (( ~( member @ X @ universal_class ) ) |
% 278.15/40.39 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 278.15/40.39 thf(zip_derived_cl8, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (~ (member @ X0 @ universal_class)
% 278.15/40.39 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 278.15/40.39 inference('cnf', [status(esa)], [unordered_pair2])).
% 278.15/40.39 thf(zip_derived_cl294, plain,
% 278.15/40.39 (![X0 : $i]: (member @ y @ (unordered_pair @ y @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl118, zip_derived_cl8])).
% 278.15/40.39 thf(intersection3, axiom,
% 278.15/40.39 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 278.15/40.39 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 278.15/40.39 thf(zip_derived_cl22, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (member @ X0 @ X1)
% 278.15/40.39 | ~ (member @ X0 @ X2)
% 278.15/40.39 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 278.15/40.39 inference('cnf', [status(esa)], [intersection3])).
% 278.15/40.39 thf(zip_derived_cl752, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ y @ (intersection @ (unordered_pair @ y @ X0) @ X1))
% 278.15/40.39 | ~ (member @ y @ X1))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl294, zip_derived_cl22])).
% 278.15/40.39 thf(zip_derived_cl1686, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (member @ y @ (intersection @ (unordered_pair @ y @ X0) @ x))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl113, zip_derived_cl752])).
% 278.15/40.39 thf(zip_derived_cl347172, plain,
% 278.15/40.39 (( (member @ y @ null_class)
% 278.15/40.39 | ((regular @ (unordered_pair @ y @ x)) = (y))
% 278.15/40.39 | ((unordered_pair @ y @ x) = (null_class)))),
% 278.15/40.39 inference('sup+', [status(thm)], [zip_derived_cl5308, zip_derived_cl1686])).
% 278.15/40.39 thf(zip_derived_cl65, plain,
% 278.15/40.39 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 278.15/40.39 inference('cnf', [status(esa)], [regularity1])).
% 278.15/40.39 thf(zip_derived_cl114, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 278.15/40.39 thf(zip_derived_cl226, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl114])).
% 278.15/40.39 thf(zip_derived_cl65, plain,
% 278.15/40.39 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 278.15/40.39 inference('cnf', [status(esa)], [regularity1])).
% 278.15/40.39 thf(complement1, axiom,
% 278.15/40.39 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 278.15/40.39 thf(zip_derived_cl23, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 278.15/40.39 inference('cnf', [status(esa)], [complement1])).
% 278.15/40.39 thf(zip_derived_cl230, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (((complement @ X0) = (null_class))
% 278.15/40.39 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 278.15/40.39 thf(zip_derived_cl299, plain,
% 278.15/40.39 ((((complement @ universal_class) = (null_class))
% 278.15/40.39 | ((complement @ universal_class) = (null_class)))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl226, zip_derived_cl230])).
% 278.15/40.39 thf(zip_derived_cl300, plain,
% 278.15/40.39 (((complement @ universal_class) = (null_class))),
% 278.15/40.39 inference('simplify', [status(thm)], [zip_derived_cl299])).
% 278.15/40.39 thf(zip_derived_cl23, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 278.15/40.39 inference('cnf', [status(esa)], [complement1])).
% 278.15/40.39 thf(zip_derived_cl301, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl300, zip_derived_cl23])).
% 278.15/40.39 thf(zip_derived_cl114, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 278.15/40.39 thf(zip_derived_cl307, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 278.15/40.39 inference('clc', [status(thm)], [zip_derived_cl301, zip_derived_cl114])).
% 278.15/40.39 thf(zip_derived_cl347368, plain,
% 278.15/40.39 ((((regular @ (unordered_pair @ y @ x)) = (y))
% 278.15/40.39 | ((unordered_pair @ y @ x) = (null_class)))),
% 278.15/40.39 inference('demod', [status(thm)],
% 278.15/40.39 [zip_derived_cl347172, zip_derived_cl307])).
% 278.15/40.39 thf(zip_derived_cl66, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (((X0) = (null_class))
% 278.15/40.39 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 278.15/40.39 inference('cnf', [status(esa)], [regularity2])).
% 278.15/40.39 thf(zip_derived_cl347986, plain,
% 278.15/40.39 ((((intersection @ (unordered_pair @ y @ x) @ y) = (null_class))
% 278.15/40.39 | ((unordered_pair @ y @ x) = (null_class))
% 278.15/40.39 | ((unordered_pair @ y @ x) = (null_class)))),
% 278.15/40.39 inference('sup+', [status(thm)], [zip_derived_cl347368, zip_derived_cl66])).
% 278.15/40.39 thf(zip_derived_cl348029, plain,
% 278.15/40.39 ((((unordered_pair @ y @ x) = (null_class))
% 278.15/40.39 | ((intersection @ (unordered_pair @ y @ x) @ y) = (null_class)))),
% 278.15/40.39 inference('simplify', [status(thm)], [zip_derived_cl347986])).
% 278.15/40.39 thf(prove_no_cycles_length_2_1, conjecture, (~( member @ x @ y ))).
% 278.15/40.39 thf(zf_stmt_1, negated_conjecture, (member @ x @ y),
% 278.15/40.39 inference('cnf.neg', [status(esa)], [prove_no_cycles_length_2_1])).
% 278.15/40.39 thf(zip_derived_cl112, plain, ( (member @ x @ y)),
% 278.15/40.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 278.15/40.39 thf(zip_derived_cl112, plain, ( (member @ x @ y)),
% 278.15/40.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 278.15/40.39 thf(zip_derived_cl114, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 278.15/40.39 thf(zip_derived_cl117, plain, ( (member @ x @ universal_class)),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl114])).
% 278.15/40.39 thf(unordered_pair3, axiom,
% 278.15/40.39 (( ~( member @ Y @ universal_class ) ) |
% 278.15/40.39 ( member @ Y @ ( unordered_pair @ X @ Y ) ))).
% 278.15/40.39 thf(zip_derived_cl9, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (~ (member @ X0 @ universal_class)
% 278.15/40.39 | (member @ X0 @ (unordered_pair @ X1 @ X0)))),
% 278.15/40.39 inference('cnf', [status(esa)], [unordered_pair3])).
% 278.15/40.39 thf(zip_derived_cl368, plain,
% 278.15/40.39 (![X0 : $i]: (member @ x @ (unordered_pair @ X0 @ x))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 278.15/40.39 thf(zip_derived_cl22, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (member @ X0 @ X1)
% 278.15/40.39 | ~ (member @ X0 @ X2)
% 278.15/40.39 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 278.15/40.39 inference('cnf', [status(esa)], [intersection3])).
% 278.15/40.39 thf(zip_derived_cl748, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 ( (member @ x @ (intersection @ (unordered_pair @ X0 @ x) @ X1))
% 278.15/40.39 | ~ (member @ x @ X1))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl22])).
% 278.15/40.39 thf(zip_derived_cl1634, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (member @ x @ (intersection @ (unordered_pair @ X0 @ x) @ y))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl748])).
% 278.15/40.39 thf(zip_derived_cl351995, plain,
% 278.15/40.39 (( (member @ x @ null_class) | ((unordered_pair @ y @ x) = (null_class)))),
% 278.15/40.39 inference('sup+', [status(thm)],
% 278.15/40.39 [zip_derived_cl348029, zip_derived_cl1634])).
% 278.15/40.39 thf(zip_derived_cl307, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 278.15/40.39 inference('clc', [status(thm)], [zip_derived_cl301, zip_derived_cl114])).
% 278.15/40.39 thf(zip_derived_cl352027, plain, (((unordered_pair @ y @ x) = (null_class))),
% 278.15/40.39 inference('demod', [status(thm)],
% 278.15/40.39 [zip_derived_cl351995, zip_derived_cl307])).
% 278.15/40.39 thf(zip_derived_cl368, plain,
% 278.15/40.39 (![X0 : $i]: (member @ x @ (unordered_pair @ X0 @ x))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl117, zip_derived_cl9])).
% 278.15/40.39 thf(zip_derived_cl112, plain, ( (member @ x @ y)),
% 278.15/40.39 inference('cnf', [status(esa)], [zf_stmt_1])).
% 278.15/40.39 thf(zip_derived_cl22, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (member @ X0 @ X1)
% 278.15/40.39 | ~ (member @ X0 @ X2)
% 278.15/40.39 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 278.15/40.39 inference('cnf', [status(esa)], [intersection3])).
% 278.15/40.39 thf(zip_derived_cl750, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 ( (member @ x @ (intersection @ y @ X0)) | ~ (member @ x @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl22])).
% 278.15/40.39 thf(zip_derived_cl760, plain,
% 278.15/40.39 (![X0 : $i]:
% 278.15/40.39 (member @ x @ (intersection @ y @ (unordered_pair @ X0 @ x)))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl368, zip_derived_cl750])).
% 278.15/40.39 thf(zip_derived_cl352090, plain,
% 278.15/40.39 ( (member @ x @ (intersection @ y @ null_class))),
% 278.15/40.39 inference('sup+', [status(thm)],
% 278.15/40.39 [zip_derived_cl352027, zip_derived_cl760])).
% 278.15/40.39 thf(zip_derived_cl65, plain,
% 278.15/40.39 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 278.15/40.39 inference('cnf', [status(esa)], [regularity1])).
% 278.15/40.39 thf(intersection2, axiom,
% 278.15/40.39 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 278.15/40.39 thf(zip_derived_cl21, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i, X2 : $i]:
% 278.15/40.39 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 278.15/40.39 inference('cnf', [status(esa)], [intersection2])).
% 278.15/40.39 thf(zip_derived_cl420, plain,
% 278.15/40.39 (![X0 : $i, X1 : $i]:
% 278.15/40.39 (((intersection @ X1 @ X0) = (null_class))
% 278.15/40.39 | (member @ (regular @ (intersection @ X1 @ X0)) @ X0))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl21])).
% 278.15/40.39 thf(zip_derived_cl307, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 278.15/40.39 inference('clc', [status(thm)], [zip_derived_cl301, zip_derived_cl114])).
% 278.15/40.39 thf(zip_derived_cl13171, plain,
% 278.15/40.39 (![X0 : $i]: ((intersection @ X0 @ null_class) = (null_class))),
% 278.15/40.39 inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl307])).
% 278.15/40.39 thf(zip_derived_cl307, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 278.15/40.39 inference('clc', [status(thm)], [zip_derived_cl301, zip_derived_cl114])).
% 278.15/40.39 thf(zip_derived_cl352234, plain, ($false),
% 278.15/40.39 inference('demod', [status(thm)],
% 278.15/40.39 [zip_derived_cl352090, zip_derived_cl13171, zip_derived_cl307])).
% 278.15/40.39
% 278.15/40.39 % SZS output end Refutation
% 278.15/40.39
% 278.15/40.39
% 278.15/40.39 % Terminating...
% 278.66/40.44 % Runner terminated.
% 278.66/40.45 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------