TSTP Solution File: NUM089-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM089-1 : 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.04Hceq8u1o true
% Computer : n032.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 12:39:12 EDT 2023
% Result : Unsatisfiable 23.74s 3.93s
% Output : Refutation 23.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM089-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.04Hceq8u1o true
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Fri Aug 25 16:48:58 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % Running portfolio for 300 s
% 0.11/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.31 % Number of cores: 8
% 0.11/0.31 % Python version: Python 3.6.8
% 0.11/0.31 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.16/0.62 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 23.74/3.93 % Solved by fo/fo6_bce.sh.
% 23.74/3.93 % BCE start: 163
% 23.74/3.93 % BCE eliminated: 3
% 23.74/3.93 % PE start: 160
% 23.74/3.93 logic: eq
% 23.74/3.93 % PE eliminated: 26
% 23.74/3.93 % done 2526 iterations in 3.339s
% 23.74/3.93 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 23.74/3.93 % SZS output start Refutation
% 23.74/3.93 thf(universal_class_type, type, universal_class: $i).
% 23.74/3.93 thf(null_class_type, type, null_class: $i).
% 23.74/3.93 thf(domain_of_type, type, domain_of: $i > $i).
% 23.74/3.93 thf(member_type, type, member: $i > $i > $o).
% 23.74/3.93 thf(y_type, type, y: $i).
% 23.74/3.93 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 23.74/3.93 thf(complement_type, type, complement: $i > $i).
% 23.74/3.93 thf(z_type, type, z: $i).
% 23.74/3.93 thf(singleton_type, type, singleton: $i > $i).
% 23.74/3.93 thf(xr_type, type, xr: $i).
% 23.74/3.93 thf(intersection_type, type, intersection: $i > $i > $i).
% 23.74/3.93 thf(subclass_type, type, subclass: $i > $i > $o).
% 23.74/3.93 thf(restrict_type, type, restrict: $i > $i > $i > $i).
% 23.74/3.93 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 23.74/3.93 thf(v_type, type, v: $i).
% 23.74/3.93 thf(u_type, type, u: $i).
% 23.74/3.93 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 23.74/3.93 thf(regular_type, type, regular: $i > $i).
% 23.74/3.93 thf(section_type, type, section: $i > $i > $i > $o).
% 23.74/3.93 thf(cartesian_product3, axiom,
% 23.74/3.93 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 23.74/3.93 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 23.74/3.93 thf(zip_derived_cl15, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.74/3.93 (~ (member @ X0 @ X1)
% 23.74/3.93 | ~ (member @ X2 @ X3)
% 23.74/3.93 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 23.74/3.93 inference('cnf', [status(esa)], [cartesian_product3])).
% 23.74/3.93 thf(restriction1, axiom,
% 23.74/3.93 (( intersection @ Xr @ ( cross_product @ X @ Y ) ) =
% 23.74/3.93 ( restrict @ Xr @ X @ Y ))).
% 23.74/3.93 thf(zip_derived_cl27, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 ((intersection @ X0 @ (cross_product @ X1 @ X2))
% 23.74/3.93 = (restrict @ X0 @ X1 @ X2))),
% 23.74/3.93 inference('cnf', [status(esa)], [restriction1])).
% 23.74/3.93 thf(intersection3, axiom,
% 23.74/3.93 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 23.74/3.93 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 23.74/3.93 thf(zip_derived_cl22, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 (~ (member @ X0 @ X1)
% 23.74/3.93 | ~ (member @ X0 @ X2)
% 23.74/3.93 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 23.74/3.93 inference('cnf', [status(esa)], [intersection3])).
% 23.74/3.93 thf(zip_derived_cl921, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.74/3.93 (~ (member @ X3 @ X2)
% 23.74/3.93 | ~ (member @ X3 @ (cross_product @ X1 @ X0))
% 23.74/3.93 | (member @ X3 @ (restrict @ X2 @ X1 @ X0)))),
% 23.74/3.93 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl22])).
% 23.74/3.93 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 23.74/3.93 thf(zip_derived_cl11, plain,
% 23.74/3.93 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 23.74/3.93 inference('cnf', [status(esa)], [singleton_set])).
% 23.74/3.93 thf(unordered_pair2, axiom,
% 23.74/3.93 (( ~( member @ X @ universal_class ) ) |
% 23.74/3.93 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 23.74/3.93 thf(zip_derived_cl8, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X0 @ universal_class)
% 23.74/3.93 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 23.74/3.93 inference('cnf', [status(esa)], [unordered_pair2])).
% 23.74/3.93 thf(zip_derived_cl786, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 23.74/3.93 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 23.74/3.93 thf(prove_sections_property1_4, conjecture, (~( member @ v @ y ))).
% 23.74/3.93 thf(zf_stmt_0, negated_conjecture, (member @ v @ y),
% 23.74/3.93 inference('cnf.neg', [status(esa)], [prove_sections_property1_4])).
% 23.74/3.93 thf(zip_derived_cl161, plain, ( (member @ v @ y)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.74/3.93 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 23.74/3.93 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 23.74/3.93 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 23.74/3.93 thf(subclass_members, axiom,
% 23.74/3.93 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 23.74/3.93 thf(zip_derived_cl0, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 23.74/3.93 inference('cnf', [status(esa)], [subclass_members])).
% 23.74/3.93 thf(zip_derived_cl762, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 23.74/3.93 thf(zip_derived_cl776, plain, ( (member @ v @ universal_class)),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl762])).
% 23.74/3.93 thf(zip_derived_cl15, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.74/3.93 (~ (member @ X0 @ X1)
% 23.74/3.93 | ~ (member @ X2 @ X3)
% 23.74/3.93 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 23.74/3.93 inference('cnf', [status(esa)], [cartesian_product3])).
% 23.74/3.93 thf(prove_sections_property1_3, conjecture, (~( member @ u @ z ))).
% 23.74/3.93 thf(zf_stmt_1, negated_conjecture, (member @ u @ z),
% 23.74/3.93 inference('cnf.neg', [status(esa)], [prove_sections_property1_3])).
% 23.74/3.93 thf(zip_derived_cl160, plain, ( (member @ u @ z)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 23.74/3.93 thf(zip_derived_cl762, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 23.74/3.93 thf(zip_derived_cl775, plain, ( (member @ u @ universal_class)),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl762])).
% 23.74/3.93 thf(domain2, axiom,
% 23.74/3.93 (( ~( member @ Z @ universal_class ) ) |
% 23.74/3.93 ( ( restrict @ X @ ( singleton @ Z ) @ universal_class ) = ( null_class ) ) |
% 23.74/3.93 ( member @ Z @ ( domain_of @ X ) ))).
% 23.74/3.93 thf(zip_derived_cl30, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X0 @ universal_class)
% 23.74/3.93 | ((restrict @ X1 @ (singleton @ X0) @ universal_class)
% 23.74/3.93 = (null_class))
% 23.74/3.93 | (member @ X0 @ (domain_of @ X1)))),
% 23.74/3.93 inference('cnf', [status(esa)], [domain2])).
% 23.74/3.93 thf(zip_derived_cl921, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 23.74/3.93 (~ (member @ X3 @ X2)
% 23.74/3.93 | ~ (member @ X3 @ (cross_product @ X1 @ X0))
% 23.74/3.93 | (member @ X3 @ (restrict @ X2 @ X1 @ X0)))),
% 23.74/3.93 inference('s_sup+', [status(thm)], [zip_derived_cl27, zip_derived_cl22])).
% 23.74/3.93 thf(zip_derived_cl11141, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 ( (member @ X0 @ (domain_of @ X1))
% 23.74/3.93 | ~ (member @ X0 @ universal_class)
% 23.74/3.93 | ~ (member @ X2 @ X1)
% 23.74/3.93 | ~ (member @ X2 @
% 23.74/3.93 (cross_product @ (singleton @ X0) @ universal_class))
% 23.74/3.93 | (member @ X2 @ null_class))),
% 23.74/3.93 inference('s_sup+', [status(thm)], [zip_derived_cl30, zip_derived_cl921])).
% 23.74/3.93 thf(regularity1, axiom,
% 23.74/3.93 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 23.74/3.93 thf(zip_derived_cl65, plain,
% 23.74/3.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 23.74/3.93 inference('cnf', [status(esa)], [regularity1])).
% 23.74/3.93 thf(zip_derived_cl762, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 23.74/3.93 thf(zip_derived_cl829, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl762])).
% 23.74/3.93 thf(zip_derived_cl65, plain,
% 23.74/3.93 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 23.74/3.93 inference('cnf', [status(esa)], [regularity1])).
% 23.74/3.93 thf(complement1, axiom,
% 23.74/3.93 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 23.74/3.93 thf(zip_derived_cl23, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 23.74/3.93 inference('cnf', [status(esa)], [complement1])).
% 23.74/3.93 thf(zip_derived_cl833, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (((complement @ X0) = (null_class))
% 23.74/3.93 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 23.74/3.93 thf(zip_derived_cl879, plain,
% 23.74/3.93 ((((complement @ universal_class) = (null_class))
% 23.74/3.93 | ((complement @ universal_class) = (null_class)))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl829, zip_derived_cl833])).
% 23.74/3.93 thf(zip_derived_cl880, plain,
% 23.74/3.93 (((complement @ universal_class) = (null_class))),
% 23.74/3.93 inference('simplify', [status(thm)], [zip_derived_cl879])).
% 23.74/3.93 thf(zip_derived_cl23, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 23.74/3.93 inference('cnf', [status(esa)], [complement1])).
% 23.74/3.93 thf(zip_derived_cl895, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl880, zip_derived_cl23])).
% 23.74/3.93 thf(zip_derived_cl762, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 23.74/3.93 thf(zip_derived_cl912, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 23.74/3.93 inference('clc', [status(thm)], [zip_derived_cl895, zip_derived_cl762])).
% 23.74/3.93 thf(zip_derived_cl11143, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 ( (member @ X0 @ (domain_of @ X1))
% 23.74/3.93 | ~ (member @ X0 @ universal_class)
% 23.74/3.93 | ~ (member @ X2 @ X1)
% 23.74/3.93 | ~ (member @ X2 @
% 23.74/3.93 (cross_product @ (singleton @ X0) @ universal_class)))),
% 23.74/3.93 inference('demod', [status(thm)],
% 23.74/3.93 [zip_derived_cl11141, zip_derived_cl912])).
% 23.74/3.93 thf(zip_derived_cl11210, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 ( (member @ u @ (domain_of @ X0))
% 23.74/3.93 | ~ (member @ X1 @ X0)
% 23.74/3.93 | ~ (member @ X1 @
% 23.74/3.93 (cross_product @ (singleton @ u) @ universal_class)))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl775, zip_derived_cl11143])).
% 23.74/3.93 thf(zip_derived_cl11244, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 (~ (member @ X0 @ universal_class)
% 23.74/3.93 | ~ (member @ X1 @ (singleton @ u))
% 23.74/3.93 | (member @ u @ (domain_of @ X2))
% 23.74/3.93 | ~ (member @ (ordered_pair @ X1 @ X0) @ X2))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl15, zip_derived_cl11210])).
% 23.74/3.93 thf(zip_derived_cl11496, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i]:
% 23.74/3.93 (~ (member @ X0 @ (singleton @ u))
% 23.74/3.93 | (member @ u @ (domain_of @ X1))
% 23.74/3.93 | ~ (member @ (ordered_pair @ X0 @ v) @ X1))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl776, zip_derived_cl11244])).
% 23.74/3.93 thf(zip_derived_cl13943, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (~ (member @ u @ universal_class)
% 23.74/3.93 | (member @ u @ (domain_of @ X0))
% 23.74/3.93 | ~ (member @ (ordered_pair @ u @ v) @ X0))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl786, zip_derived_cl11496])).
% 23.74/3.93 thf(zip_derived_cl775, plain, ( (member @ u @ universal_class)),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl762])).
% 23.74/3.93 thf(zip_derived_cl13955, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 ( (member @ u @ (domain_of @ X0))
% 23.74/3.93 | ~ (member @ (ordered_pair @ u @ v) @ X0))),
% 23.74/3.93 inference('demod', [status(thm)],
% 23.74/3.93 [zip_derived_cl13943, zip_derived_cl775])).
% 23.74/3.93 thf(prove_sections_property1_1, conjecture, (~( section @ xr @ y @ z ))).
% 23.74/3.93 thf(zf_stmt_2, negated_conjecture, (section @ xr @ y @ z),
% 23.74/3.93 inference('cnf.neg', [status(esa)], [prove_sections_property1_1])).
% 23.74/3.93 thf(zip_derived_cl158, plain, ( (section @ xr @ y @ z)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_2])).
% 23.74/3.93 thf(section2, axiom,
% 23.74/3.93 (( ~( section @ Xr @ Y @ Z ) ) |
% 23.74/3.93 ( subclass @ ( domain_of @ ( restrict @ Xr @ Z @ Y ) ) @ Y ))).
% 23.74/3.93 thf(zip_derived_cl131, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 (~ (section @ X0 @ X1 @ X2)
% 23.74/3.93 | (subclass @ (domain_of @ (restrict @ X0 @ X2 @ X1)) @ X1))),
% 23.74/3.93 inference('cnf', [status(esa)], [section2])).
% 23.74/3.93 thf(zip_derived_cl701, plain,
% 23.74/3.93 ( (subclass @ (domain_of @ (restrict @ xr @ z @ y)) @ y)),
% 23.74/3.93 inference('dp-resolution', [status(thm)],
% 23.74/3.93 [zip_derived_cl158, zip_derived_cl131])).
% 23.74/3.93 thf(zip_derived_cl0, plain,
% 23.74/3.93 (![X0 : $i, X1 : $i, X2 : $i]:
% 23.74/3.93 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 23.74/3.93 inference('cnf', [status(esa)], [subclass_members])).
% 23.74/3.93 thf(zip_derived_cl810, plain,
% 23.74/3.93 (![X0 : $i]:
% 23.74/3.93 (~ (member @ X0 @ (domain_of @ (restrict @ xr @ z @ y)))
% 23.74/3.93 | (member @ X0 @ y))),
% 23.74/3.93 inference('s_sup-', [status(thm)], [zip_derived_cl701, zip_derived_cl0])).
% 23.74/3.93 thf(zip_derived_cl14039, plain,
% 23.74/3.93 ((~ (member @ (ordered_pair @ u @ v) @ (restrict @ xr @ z @ y))
% 23.74/3.93 | (member @ u @ y))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl13955, zip_derived_cl810])).
% 23.74/3.93 thf(prove_sections_property1_5, conjecture, (member @ u @ y)).
% 23.74/3.93 thf(zf_stmt_3, negated_conjecture, (~( member @ u @ y )),
% 23.74/3.93 inference('cnf.neg', [status(esa)], [prove_sections_property1_5])).
% 23.74/3.93 thf(zip_derived_cl162, plain, (~ (member @ u @ y)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_3])).
% 23.74/3.93 thf(zip_derived_cl14067, plain,
% 23.74/3.93 (~ (member @ (ordered_pair @ u @ v) @ (restrict @ xr @ z @ y))),
% 23.74/3.93 inference('demod', [status(thm)],
% 23.74/3.93 [zip_derived_cl14039, zip_derived_cl162])).
% 23.74/3.93 thf(zip_derived_cl14069, plain,
% 23.74/3.93 ((~ (member @ (ordered_pair @ u @ v) @ (cross_product @ z @ y))
% 23.74/3.93 | ~ (member @ (ordered_pair @ u @ v) @ xr))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl921, zip_derived_cl14067])).
% 23.74/3.93 thf(prove_sections_property1_2, conjecture,
% 23.74/3.93 (~( member @ ( ordered_pair @ u @ v ) @ xr ))).
% 23.74/3.93 thf(zf_stmt_4, negated_conjecture, (member @ ( ordered_pair @ u @ v ) @ xr),
% 23.74/3.93 inference('cnf.neg', [status(esa)], [prove_sections_property1_2])).
% 23.74/3.93 thf(zip_derived_cl159, plain, ( (member @ (ordered_pair @ u @ v) @ xr)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_4])).
% 23.74/3.93 thf(zip_derived_cl14070, plain,
% 23.74/3.93 (~ (member @ (ordered_pair @ u @ v) @ (cross_product @ z @ y))),
% 23.74/3.93 inference('demod', [status(thm)],
% 23.74/3.93 [zip_derived_cl14069, zip_derived_cl159])).
% 23.74/3.93 thf(zip_derived_cl14071, plain, ((~ (member @ v @ y) | ~ (member @ u @ z))),
% 23.74/3.93 inference('s_sup-', [status(thm)],
% 23.74/3.93 [zip_derived_cl15, zip_derived_cl14070])).
% 23.74/3.93 thf(zip_derived_cl161, plain, ( (member @ v @ y)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_0])).
% 23.74/3.93 thf(zip_derived_cl160, plain, ( (member @ u @ z)),
% 23.74/3.93 inference('cnf', [status(esa)], [zf_stmt_1])).
% 23.74/3.93 thf(zip_derived_cl14072, plain, ($false),
% 23.74/3.93 inference('demod', [status(thm)],
% 23.74/3.93 [zip_derived_cl14071, zip_derived_cl161, zip_derived_cl160])).
% 23.74/3.93
% 23.74/3.93 % SZS output end Refutation
% 23.74/3.93
% 23.74/3.93
% 23.74/3.93 % Terminating...
% 24.49/4.04 % Runner terminated.
% 24.49/4.04 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------