%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM078-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AhXF3RQNwx true
% Computer : n013.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 04:45:51 PM UTC 2025
% Result : Unsatisfiable 0.55s 0.81s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM078-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AhXF3RQNwx true
% 0.13/0.33 % Computer : n013.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Oct 1 16:27:53 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % Running portfolio for 300 s
% 0.13/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.55/0.81 % Solved by fo/fo6_bce.sh.
% 0.55/0.81 % BCE start: 161
% 0.55/0.81 % BCE eliminated: 3
% 0.55/0.81 % PE start: 158
% 0.55/0.81 logic: eq
% 0.55/0.81 % PE eliminated: 27
% 0.55/0.81 % done 162 iterations in 0.109s
% 0.55/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.81 % SZS output start Refutation
% 0.55/0.81 thf(universal_class_type, type, universal_class: $i).
% 0.55/0.81 thf(null_class_type, type, null_class: $i).
% 0.55/0.81 thf(member_type, type, member: $i > $i > $o).
% 0.55/0.81 thf(u_type, type, u: $i).
% 0.55/0.81 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.55/0.81 thf(complement_type, type, complement: $i > $i).
% 0.55/0.81 thf(singleton_type, type, singleton: $i > $i).
% 0.55/0.81 thf(y_type, type, y: $i).
% 0.55/0.81 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.55/0.81 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.55/0.81 thf(regular_type, type, regular: $i > $i).
% 0.55/0.81 thf(prove_corollary_2_to_well_ordering_property7_3, conjecture,
% 0.55/0.81 (~( member @ u @ ( intersection @ u @ y ) ))).
% 0.55/0.81 thf(zf_stmt_0, negated_conjecture, (member @ u @ ( intersection @ u @ y )),
% 0.55/0.81 inference('cnf.neg', [status(esa)],
% 0.55/0.81 [prove_corollary_2_to_well_ordering_property7_3])).
% 0.55/0.81 thf(zip_derived_cl160, plain, ( (member @ u @ (intersection @ u @ y))),
% 0.55/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.81 thf(intersection1, axiom,
% 0.55/0.81 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 0.55/0.81 thf(zip_derived_cl20, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.81 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 0.55/0.81 inference('cnf', [status(esa)], [intersection1])).
% 0.55/0.81 thf(zip_derived_cl804, plain, ( (member @ u @ u)),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl20])).
% 0.55/0.81 thf(regularity1, axiom,
% 0.55/0.81 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.55/0.81 thf(zip_derived_cl65, plain,
% 0.55/0.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [regularity1])).
% 0.55/0.81 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.55/0.81 thf(zip_derived_cl11, plain,
% 0.55/0.81 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [singleton_set])).
% 0.55/0.81 thf(unordered_pair_member, axiom,
% 0.55/0.81 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.55/0.81 ( ( U ) = ( Y ) ))).
% 0.55/0.81 thf(zip_derived_cl7, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.81 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.55/0.81 | ((X0) = (X1))
% 0.55/0.81 | ((X0) = (X2)))),
% 0.55/0.81 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.55/0.81 thf(zip_derived_cl778, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 0.55/0.81 thf(zip_derived_cl779, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 0.55/0.81 inference('simplify', [status(thm)], [zip_derived_cl778])).
% 0.55/0.81 thf(zip_derived_cl829, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ((regular @ (singleton @ X0)) = (X0)))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl779])).
% 0.55/0.81 thf(zip_derived_cl65, plain,
% 0.55/0.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [regularity1])).
% 0.55/0.81 thf(zip_derived_cl1020, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ((singleton @ X0) = (null_class))
% 0.55/0.81 | (member @ X0 @ (singleton @ X0)))),
% 0.55/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl829, zip_derived_cl65])).
% 0.55/0.81 thf(zip_derived_cl1023, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 ( (member @ X0 @ (singleton @ X0)) | ((singleton @ X0) = (null_class)))),
% 0.55/0.81 inference('simplify', [status(thm)], [zip_derived_cl1020])).
% 0.55/0.81 thf(zip_derived_cl829, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ((regular @ (singleton @ X0)) = (X0)))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl779])).
% 0.55/0.81 thf(regularity2, axiom,
% 0.55/0.81 (( ( X ) = ( null_class ) ) |
% 0.55/0.81 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.55/0.81 thf(zip_derived_cl66, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((X0) = (null_class))
% 0.55/0.81 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.55/0.81 inference('cnf', [status(esa)], [regularity2])).
% 0.55/0.81 thf(zip_derived_cl1021, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ((singleton @ X0) = (null_class))
% 0.55/0.81 | ((intersection @ (singleton @ X0) @ X0) = (null_class)))),
% 0.55/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl829, zip_derived_cl66])).
% 0.55/0.81 thf(zip_derived_cl1024, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((intersection @ (singleton @ X0) @ X0) = (null_class))
% 0.55/0.81 | ((singleton @ X0) = (null_class)))),
% 0.55/0.81 inference('simplify', [status(thm)], [zip_derived_cl1021])).
% 0.55/0.81 thf(intersection3, axiom,
% 0.55/0.81 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 0.55/0.81 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.55/0.81 thf(zip_derived_cl22, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.81 (~ (member @ X0 @ X1)
% 0.55/0.81 | ~ (member @ X0 @ X2)
% 0.55/0.81 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.55/0.81 inference('cnf', [status(esa)], [intersection3])).
% 0.55/0.81 thf(zip_derived_cl1054, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ~ (member @ X1 @ (singleton @ X0))
% 0.55/0.81 | ~ (member @ X1 @ X0)
% 0.55/0.81 | (member @ X1 @ null_class))),
% 0.55/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl1024, zip_derived_cl22])).
% 0.55/0.81 thf(zip_derived_cl65, plain,
% 0.55/0.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [regularity1])).
% 0.55/0.81 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.55/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.55/0.81 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.55/0.81 thf(subclass_members, axiom,
% 0.55/0.81 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.55/0.81 thf(zip_derived_cl0, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/0.81 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.55/0.81 inference('cnf', [status(esa)], [subclass_members])).
% 0.55/0.81 thf(zip_derived_cl759, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.81 thf(zip_derived_cl827, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl759])).
% 0.55/0.81 thf(zip_derived_cl65, plain,
% 0.55/0.81 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [regularity1])).
% 0.55/0.81 thf(complement1, axiom,
% 0.55/0.81 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.55/0.81 thf(zip_derived_cl23, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.55/0.81 inference('cnf', [status(esa)], [complement1])).
% 0.55/0.81 thf(zip_derived_cl833, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((complement @ X0) = (null_class))
% 0.55/0.81 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 0.55/0.81 thf(zip_derived_cl872, plain,
% 0.55/0.81 ((((complement @ universal_class) = (null_class))
% 0.55/0.81 | ((complement @ universal_class) = (null_class)))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl827, zip_derived_cl833])).
% 0.55/0.81 thf(zip_derived_cl874, plain,
% 0.55/0.81 (((complement @ universal_class) = (null_class))),
% 0.55/0.81 inference('simplify', [status(thm)], [zip_derived_cl872])).
% 0.55/0.81 thf(zip_derived_cl23, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.55/0.81 inference('cnf', [status(esa)], [complement1])).
% 0.55/0.81 thf(zip_derived_cl875, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl874, zip_derived_cl23])).
% 0.55/0.81 thf(zip_derived_cl759, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.81 thf(zip_derived_cl894, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.55/0.81 inference('clc', [status(thm)], [zip_derived_cl875, zip_derived_cl759])).
% 0.55/0.81 thf(zip_derived_cl1059, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ~ (member @ X1 @ (singleton @ X0))
% 0.55/0.81 | ~ (member @ X1 @ X0))),
% 0.55/0.81 inference('demod', [status(thm)], [zip_derived_cl1054, zip_derived_cl894])).
% 0.55/0.81 thf(zip_derived_cl1078, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (((singleton @ X0) = (null_class))
% 0.55/0.81 | ((singleton @ X0) = (null_class))
% 0.55/0.81 | ~ (member @ X0 @ X0))),
% 0.55/0.81 inference('s_sup-', [status(thm)],
% 0.55/0.81 [zip_derived_cl1023, zip_derived_cl1059])).
% 0.55/0.81 thf(zip_derived_cl1082, plain,
% 0.55/0.81 (![X0 : $i]: (~ (member @ X0 @ X0) | ((singleton @ X0) = (null_class)))),
% 0.55/0.81 inference('simplify', [status(thm)], [zip_derived_cl1078])).
% 0.55/0.81 thf(zip_derived_cl1090, plain, (((singleton @ u) = (null_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)],
% 0.55/0.81 [zip_derived_cl804, zip_derived_cl1082])).
% 0.55/0.81 thf(zip_derived_cl11, plain,
% 0.55/0.81 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.55/0.81 inference('cnf', [status(esa)], [singleton_set])).
% 0.55/0.81 thf(unordered_pair2, axiom,
% 0.55/0.81 (( ~( member @ X @ universal_class ) ) |
% 0.55/0.81 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.55/0.81 thf(zip_derived_cl8, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X0 @ universal_class)
% 0.55/0.81 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.55/0.81 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.55/0.81 thf(zip_derived_cl785, plain,
% 0.55/0.81 (![X0 : $i]:
% 0.55/0.81 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 0.55/0.81 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl8])).
% 0.55/0.81 thf(zip_derived_cl1096, plain,
% 0.55/0.81 ((~ (member @ u @ universal_class) | (member @ u @ null_class))),
% 0.55/0.81 inference('s_sup+', [status(thm)],
% 0.55/0.81 [zip_derived_cl1090, zip_derived_cl785])).
% 0.55/0.81 thf(zip_derived_cl160, plain, ( (member @ u @ (intersection @ u @ y))),
% 0.55/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/0.81 thf(zip_derived_cl759, plain,
% 0.55/0.81 (![X0 : $i, X1 : $i]:
% 0.55/0.81 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.55/0.81 thf(zip_derived_cl763, plain, ( (member @ u @ universal_class)),
% 0.55/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl759])).
% 0.55/0.81 thf(zip_derived_cl1106, plain, ( (member @ u @ null_class)),
% 0.55/0.81 inference('demod', [status(thm)], [zip_derived_cl1096, zip_derived_cl763])).
% 0.55/0.81 thf(zip_derived_cl894, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.55/0.81 inference('clc', [status(thm)], [zip_derived_cl875, zip_derived_cl759])).
% 0.55/0.81 thf(zip_derived_cl1121, plain, ($false),
% 0.55/0.81 inference('s_sup-', [status(thm)],
% 0.55/0.81 [zip_derived_cl1106, zip_derived_cl894])).
% 0.55/0.81
% 0.55/0.81 % SZS output end Refutation
% 0.55/0.81
% 0.55/0.81
% 0.55/0.81 % Terminating...
% 0.57/0.88 % Runner terminated.
% 0.57/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------