%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM156-1 : 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.iZmbdr3GGv 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 04:45:56 PM UTC 2025
% Result : Unsatisfiable 27.25s 4.53s
% Output : Refutation 27.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM156-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iZmbdr3GGv true
% 0.14/0.35 % Computer : n021.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 : Wed Oct 1 16:39:08 EDT 2025
% 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
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.64 % Total configuration time : 435
% 0.56/0.64 % Estimated wc time : 1092
% 0.56/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.59/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 27.25/4.53 % Solved by fo/fo1_lcnf.sh.
% 27.25/4.53 % done 4420 iterations in 3.725s
% 27.25/4.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.25/4.53 % SZS output start Refutation
% 27.25/4.53 thf(universal_class_type, type, universal_class: $i).
% 27.25/4.53 thf(union_type, type, union: $i > $i > $i).
% 27.25/4.53 thf(null_class_type, type, null_class: $i).
% 27.25/4.53 thf(image_type, type, image: $i > $i > $i).
% 27.25/4.53 thf(member_type, type, member: $i > $i > $o).
% 27.25/4.53 thf(successor_relation_type, type, successor_relation: $i).
% 27.25/4.53 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 27.25/4.53 thf(complement_type, type, complement: $i > $i).
% 27.25/4.53 thf(singleton_type, type, singleton: $i > $i).
% 27.25/4.53 thf(intersection_type, type, intersection: $i > $i > $i).
% 27.25/4.53 thf(kind_1_ordinals_type, type, kind_1_ordinals: $i).
% 27.25/4.53 thf(subclass_type, type, subclass: $i > $i > $o).
% 27.25/4.53 thf(inductive_type, type, inductive: $i > $o).
% 27.25/4.53 thf(omega_type, type, omega: $i).
% 27.25/4.53 thf(ordinal_numbers_type, type, ordinal_numbers: $i).
% 27.25/4.53 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 27.25/4.53 thf(zip_derived_cl11, plain,
% 27.25/4.53 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 27.25/4.53 inference('cnf', [status(esa)], [singleton_set])).
% 27.25/4.53 thf(unordered_pair2, axiom,
% 27.25/4.53 (( ~( member @ X @ universal_class ) ) |
% 27.25/4.53 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 27.25/4.53 thf(zip_derived_cl8, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (((((~) @ (member @ X0 @ universal_class))) | (member @ X0 @
% 27.25/4.53 (unordered_pair @ X0 @ X1))))),
% 27.25/4.53 inference('cnf', [status(esa)], [unordered_pair2])).
% 27.25/4.53 thf(zip_derived_cl244, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (~ (member @ X0 @ universal_class)
% 27.25/4.53 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl8])).
% 27.25/4.53 thf(zip_derived_cl247, plain,
% 27.25/4.53 (![X0 : $i]:
% 27.25/4.53 (~ (member @ X0 @ universal_class) | (member @ X0 @ (singleton @ X0)))),
% 27.25/4.53 inference('s_sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl244])).
% 27.25/4.53 thf(kind_1_ordinals, axiom,
% 27.25/4.53 (( union @
% 27.25/4.53 ( singleton @ null_class ) @
% 27.25/4.53 ( image @ successor_relation @ ordinal_numbers ) ) =
% 27.25/4.53 ( kind_1_ordinals ))).
% 27.25/4.53 thf(zip_derived_cl137, plain,
% 27.25/4.53 (((union @ (singleton @ null_class) @
% 27.25/4.53 (image @ successor_relation @ ordinal_numbers)) = (kind_1_ordinals))),
% 27.25/4.53 inference('cnf', [status(esa)], [kind_1_ordinals])).
% 27.25/4.53 thf(union, axiom,
% 27.25/4.53 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 27.25/4.53 ( union @ X @ Y ))).
% 27.25/4.53 thf(zip_derived_cl25, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 27.25/4.53 = (union @ X0 @ X1))),
% 27.25/4.53 inference('cnf', [status(esa)], [union])).
% 27.25/4.53 thf(omega_is_inductive1, axiom, (inductive @ omega)).
% 27.25/4.53 thf(zip_derived_cl49, plain, ( (inductive @ omega)),
% 27.25/4.53 inference('cnf', [status(esa)], [omega_is_inductive1])).
% 27.25/4.53 thf(inductive1, axiom,
% 27.25/4.53 (( ~( inductive @ X ) ) | ( member @ null_class @ X ))).
% 27.25/4.53 thf(zip_derived_cl46, plain,
% 27.25/4.53 (![X0 : $i]: (((((~) @ (inductive @ X0))) | (member @ null_class @ X0)))),
% 27.25/4.53 inference('cnf', [status(esa)], [inductive1])).
% 27.25/4.53 thf(zip_derived_cl195, plain,
% 27.25/4.53 (![X0 : $i]: (~ (inductive @ X0) | (member @ null_class @ X0))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl46])).
% 27.25/4.53 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 27.25/4.53 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 27.25/4.53 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 27.25/4.53 thf(subclass_members, axiom,
% 27.25/4.53 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 27.25/4.53 thf(zip_derived_cl0, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.25/4.53 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (member @ X2 @ X0))) |
% 27.25/4.53 (member @ X2 @ X1)))),
% 27.25/4.53 inference('cnf', [status(esa)], [subclass_members])).
% 27.25/4.53 thf(zip_derived_cl159, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.25/4.53 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl0])).
% 27.25/4.53 thf(zip_derived_cl160, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl159])).
% 27.25/4.53 thf(zip_derived_cl196, plain,
% 27.25/4.53 (![X0 : $i]:
% 27.25/4.53 (~ (inductive @ X0) | (member @ null_class @ universal_class))),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl160])).
% 27.25/4.53 thf(zip_derived_cl202, plain, ( (member @ null_class @ universal_class)),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl196])).
% 27.25/4.53 thf(complement2, axiom,
% 27.25/4.53 (( ~( member @ Z @ universal_class ) ) |
% 27.25/4.53 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 27.25/4.53 thf(zip_derived_cl24, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (((((~) @ (member @ X0 @ universal_class))) |
% 27.25/4.53 (member @ X0 @ (complement @ X1)) | (member @ X0 @ X1)))),
% 27.25/4.53 inference('cnf', [status(esa)], [complement2])).
% 27.25/4.53 thf(zip_derived_cl579, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (~ (member @ X0 @ universal_class)
% 27.25/4.53 | (member @ X0 @ (complement @ X1))
% 27.25/4.53 | (member @ X0 @ X1))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 27.25/4.53 thf(zip_derived_cl587, plain,
% 27.25/4.53 (![X0 : $i]:
% 27.25/4.53 ( (member @ null_class @ (complement @ X0))
% 27.25/4.53 | (member @ null_class @ X0))),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl202, zip_derived_cl579])).
% 27.25/4.53 thf(zip_derived_cl698, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 ( (member @ null_class @ (union @ X1 @ X0))
% 27.25/4.53 | (member @ null_class @
% 27.25/4.53 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 27.25/4.53 inference('s_sup+', [status(thm)], [zip_derived_cl25, zip_derived_cl587])).
% 27.25/4.53 thf(intersection1, axiom,
% 27.25/4.53 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 27.25/4.53 thf(zip_derived_cl20, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.25/4.53 (((((~) @ (member @ X0 @ (intersection @ X1 @ X2)))) | (member @
% 27.25/4.53 X0 @ X1)))),
% 27.25/4.53 inference('cnf', [status(esa)], [intersection1])).
% 27.25/4.53 thf(zip_derived_cl401, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 27.25/4.53 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl20])).
% 27.25/4.53 thf(zip_derived_cl10851, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 ( (member @ null_class @ (union @ X1 @ X0))
% 27.25/4.53 | (member @ null_class @ (complement @ X1)))),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl698, zip_derived_cl401])).
% 27.25/4.53 thf(zip_derived_cl22036, plain,
% 27.25/4.53 (( (member @ null_class @ kind_1_ordinals)
% 27.25/4.53 | (member @ null_class @ (complement @ (singleton @ null_class))))),
% 27.25/4.53 inference('s_sup+', [status(thm)],
% 27.25/4.53 [zip_derived_cl137, zip_derived_cl10851])).
% 27.25/4.53 thf(prove_null_class_is_kind_1_1, conjecture,
% 27.25/4.53 (member @ null_class @ kind_1_ordinals)).
% 27.25/4.53 thf(zf_stmt_0, negated_conjecture,
% 27.25/4.53 (~( member @ null_class @ kind_1_ordinals )),
% 27.25/4.53 inference('cnf.neg', [status(esa)], [prove_null_class_is_kind_1_1])).
% 27.25/4.53 thf(zip_derived_cl158, plain, (~ (member @ null_class @ kind_1_ordinals)),
% 27.25/4.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 27.25/4.53 thf(zip_derived_cl22047, plain,
% 27.25/4.53 ( (member @ null_class @ (complement @ (singleton @ null_class)))),
% 27.25/4.53 inference('demod', [status(thm)],
% 27.25/4.53 [zip_derived_cl22036, zip_derived_cl158])).
% 27.25/4.53 thf(complement1, axiom,
% 27.25/4.53 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 27.25/4.53 thf(zip_derived_cl23, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (((((~) @ (member @ X0 @ (complement @ X1)))) |
% 27.25/4.53 (((~) @ (member @ X0 @ X1)))))),
% 27.25/4.53 inference('cnf', [status(esa)], [complement1])).
% 27.25/4.53 thf(zip_derived_cl325, plain,
% 27.25/4.53 (![X0 : $i, X1 : $i]:
% 27.25/4.53 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 27.25/4.53 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl23])).
% 27.25/4.53 thf(zip_derived_cl22061, plain,
% 27.25/4.53 (~ (member @ null_class @ (singleton @ null_class))),
% 27.25/4.53 inference('s_sup-', [status(thm)],
% 27.25/4.53 [zip_derived_cl22047, zip_derived_cl325])).
% 27.25/4.53 thf(zip_derived_cl22078, plain, (~ (member @ null_class @ universal_class)),
% 27.25/4.53 inference('s_sup-', [status(thm)],
% 27.25/4.53 [zip_derived_cl247, zip_derived_cl22061])).
% 27.25/4.53 thf(zip_derived_cl202, plain, ( (member @ null_class @ universal_class)),
% 27.25/4.53 inference('s_sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl196])).
% 27.25/4.53 thf(zip_derived_cl22085, plain, ($false),
% 27.25/4.53 inference('demod', [status(thm)],
% 27.25/4.53 [zip_derived_cl22078, zip_derived_cl202])).
% 27.25/4.53
% 27.25/4.53 % SZS output end Refutation
% 27.25/4.53
% 27.25/4.53
% 27.25/4.53 % Terminating...
% 27.25/4.58 % Runner terminated.
% 27.25/4.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------