%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET517-6 : 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.lTT0R0PM1O true
% Computer : n002.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 04:52:11 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.90s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET517-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.lTT0R0PM1O true
% 0.13/0.35 % Computer : n002.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 13:18:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.56/0.65 % Total configuration time : 435
% 0.56/0.65 % Estimated wc time : 1092
% 0.56/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.81 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.58/0.90 % Solved by fo/fo5.sh.
% 0.58/0.90 % done 307 iterations in 0.112s
% 0.58/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.90 % SZS output start Refutation
% 0.58/0.90 thf(universal_class_type, type, universal_class: $i).
% 0.58/0.90 thf(null_class_type, type, null_class: $i).
% 0.58/0.90 thf(member_type, type, member: $i > $i > $o).
% 0.58/0.90 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 0.58/0.90 thf(complement_type, type, complement: $i > $i).
% 0.58/0.90 thf(member_of_type, type, member_of: $i > $i).
% 0.58/0.90 thf(singleton_type, type, singleton: $i > $i).
% 0.58/0.90 thf(intersection_type, type, intersection: $i > $i > $i).
% 0.58/0.90 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.58/0.90 thf(x_type, type, x: $i).
% 0.58/0.90 thf(regular_type, type, regular: $i > $i).
% 0.58/0.90 thf(prove_not_singleton_of_set_1, conjecture,
% 0.58/0.90 (( singleton @ ( member_of @ x ) ) != ( x ))).
% 0.58/0.90 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.90 (( singleton @ ( member_of @ x ) ) = ( x )),
% 0.58/0.90 inference('cnf.neg', [status(esa)], [prove_not_singleton_of_set_1])).
% 0.58/0.90 thf(zip_derived_cl112, plain, (((singleton @ (member_of @ x)) = (x))),
% 0.58/0.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.90 thf(prove_not_singleton_of_set_2, conjecture, (( member_of @ x ) != ( x ))).
% 0.58/0.90 thf(zf_stmt_1, negated_conjecture, (( member_of @ x ) = ( x )),
% 0.58/0.90 inference('cnf.neg', [status(esa)], [prove_not_singleton_of_set_2])).
% 0.58/0.90 thf(zip_derived_cl113, plain, (((member_of @ x) = (x))),
% 0.58/0.90 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.90 thf(zip_derived_cl114, plain, (((singleton @ x) = (x))),
% 0.58/0.90 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl113])).
% 0.58/0.90 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 0.58/0.90 thf(zip_derived_cl11, plain,
% 0.58/0.90 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 0.58/0.90 inference('cnf', [status(esa)], [singleton_set])).
% 0.58/0.90 thf(zip_derived_cl125, plain, (((unordered_pair @ x @ x) = (x))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl11])).
% 0.58/0.90 thf(zip_derived_cl125, plain, (((unordered_pair @ x @ x) = (x))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl11])).
% 0.58/0.90 thf(unordered_pairs_in_universal, axiom,
% 0.58/0.90 (member @ ( unordered_pair @ X @ Y ) @ universal_class)).
% 0.58/0.90 thf(zip_derived_cl10, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 (member @ (unordered_pair @ X0 @ X1) @ universal_class)),
% 0.58/0.90 inference('cnf', [status(esa)], [unordered_pairs_in_universal])).
% 0.58/0.90 thf(zip_derived_cl126, plain, ( (member @ x @ universal_class)),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl10])).
% 0.58/0.90 thf(unordered_pair2, axiom,
% 0.58/0.90 (( ~( member @ X @ universal_class ) ) |
% 0.58/0.90 ( member @ X @ ( unordered_pair @ X @ Y ) ))).
% 0.58/0.90 thf(zip_derived_cl8, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 (~ (member @ X0 @ universal_class)
% 0.58/0.90 | (member @ X0 @ (unordered_pair @ X0 @ X1)))),
% 0.58/0.90 inference('cnf', [status(esa)], [unordered_pair2])).
% 0.58/0.90 thf(zip_derived_cl277, plain,
% 0.58/0.90 (![X0 : $i]: (member @ x @ (unordered_pair @ x @ X0))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl8])).
% 0.58/0.90 thf(zip_derived_cl302, plain, ( (member @ x @ x)),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl277])).
% 0.58/0.90 thf(regularity1, axiom,
% 0.58/0.90 (( ( X ) = ( null_class ) ) | ( member @ ( regular @ X ) @ X ))).
% 0.58/0.90 thf(zip_derived_cl65, plain,
% 0.58/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.58/0.90 inference('cnf', [status(esa)], [regularity1])).
% 0.58/0.90 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 0.58/0.90 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 0.58/0.90 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 0.58/0.90 thf(subclass_members, axiom,
% 0.58/0.90 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.58/0.90 thf(zip_derived_cl0, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.90 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.58/0.90 inference('cnf', [status(esa)], [subclass_members])).
% 0.58/0.90 thf(zip_derived_cl115, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.58/0.90 thf(zip_derived_cl181, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (((X0) = (null_class)) | (member @ (regular @ X0) @ universal_class))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl115])).
% 0.58/0.90 thf(zip_derived_cl65, plain,
% 0.58/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.58/0.90 inference('cnf', [status(esa)], [regularity1])).
% 0.58/0.90 thf(complement1, axiom,
% 0.58/0.90 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 0.58/0.90 thf(zip_derived_cl23, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.58/0.90 inference('cnf', [status(esa)], [complement1])).
% 0.58/0.90 thf(zip_derived_cl184, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (((complement @ X0) = (null_class))
% 0.58/0.90 | ~ (member @ (regular @ (complement @ X0)) @ X0))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl23])).
% 0.58/0.90 thf(zip_derived_cl309, plain,
% 0.58/0.90 ((((complement @ universal_class) = (null_class))
% 0.58/0.90 | ((complement @ universal_class) = (null_class)))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl181, zip_derived_cl184])).
% 0.58/0.90 thf(zip_derived_cl314, plain,
% 0.58/0.90 (((complement @ universal_class) = (null_class))),
% 0.58/0.90 inference('simplify', [status(thm)], [zip_derived_cl309])).
% 0.58/0.90 thf(zip_derived_cl23, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 0.58/0.90 inference('cnf', [status(esa)], [complement1])).
% 0.58/0.90 thf(zip_derived_cl315, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (~ (member @ X0 @ null_class) | ~ (member @ X0 @ universal_class))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl314, zip_derived_cl23])).
% 0.58/0.90 thf(zip_derived_cl115, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i]:
% 0.58/0.90 ( (member @ X1 @ universal_class) | ~ (member @ X1 @ X0))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 0.58/0.90 thf(zip_derived_cl345, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.58/0.90 inference('clc', [status(thm)], [zip_derived_cl315, zip_derived_cl115])).
% 0.58/0.90 thf(zip_derived_cl65, plain,
% 0.58/0.90 (![X0 : $i]: (((X0) = (null_class)) | (member @ (regular @ X0) @ X0))),
% 0.58/0.90 inference('cnf', [status(esa)], [regularity1])).
% 0.58/0.90 thf(zip_derived_cl125, plain, (((unordered_pair @ x @ x) = (x))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl114, zip_derived_cl11])).
% 0.58/0.90 thf(unordered_pair_member, axiom,
% 0.58/0.90 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 0.58/0.90 ( ( U ) = ( Y ) ))).
% 0.58/0.90 thf(zip_derived_cl7, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.90 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 0.58/0.90 | ((X0) = (X1))
% 0.58/0.90 | ((X0) = (X2)))),
% 0.58/0.90 inference('cnf', [status(esa)], [unordered_pair_member])).
% 0.58/0.90 thf(zip_derived_cl225, plain,
% 0.58/0.90 (![X0 : $i]: (~ (member @ X0 @ x) | ((X0) = (x)) | ((X0) = (x)))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl7])).
% 0.58/0.90 thf(zip_derived_cl227, plain,
% 0.58/0.90 (![X0 : $i]: (((X0) = (x)) | ~ (member @ X0 @ x))),
% 0.58/0.90 inference('simplify', [status(thm)], [zip_derived_cl225])).
% 0.58/0.90 thf(zip_derived_cl230, plain,
% 0.58/0.90 ((((x) = (null_class)) | ((regular @ x) = (x)))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl227])).
% 0.58/0.90 thf(regularity2, axiom,
% 0.58/0.90 (( ( X ) = ( null_class ) ) |
% 0.58/0.90 ( ( intersection @ X @ ( regular @ X ) ) = ( null_class ) ))).
% 0.58/0.90 thf(zip_derived_cl66, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 (((X0) = (null_class))
% 0.58/0.90 | ((intersection @ X0 @ (regular @ X0)) = (null_class)))),
% 0.58/0.90 inference('cnf', [status(esa)], [regularity2])).
% 0.58/0.90 thf(zip_derived_cl457, plain,
% 0.58/0.90 ((((intersection @ x @ x) = (null_class))
% 0.58/0.90 | ((x) = (null_class))
% 0.58/0.90 | ((x) = (null_class)))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl230, zip_derived_cl66])).
% 0.58/0.90 thf(zip_derived_cl459, plain,
% 0.58/0.90 ((((x) = (null_class)) | ((intersection @ x @ x) = (null_class)))),
% 0.58/0.90 inference('simplify', [status(thm)], [zip_derived_cl457])).
% 0.58/0.90 thf(zip_derived_cl302, plain, ( (member @ x @ x)),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl277])).
% 0.58/0.90 thf(zip_derived_cl302, plain, ( (member @ x @ x)),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl125, zip_derived_cl277])).
% 0.58/0.90 thf(intersection3, axiom,
% 0.58/0.90 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 0.58/0.90 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 0.58/0.90 thf(zip_derived_cl22, plain,
% 0.58/0.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.90 (~ (member @ X0 @ X1)
% 0.58/0.90 | ~ (member @ X0 @ X2)
% 0.58/0.90 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 0.58/0.90 inference('cnf', [status(esa)], [intersection3])).
% 0.58/0.90 thf(zip_derived_cl727, plain,
% 0.58/0.90 (![X0 : $i]:
% 0.58/0.90 ( (member @ x @ (intersection @ x @ X0)) | ~ (member @ x @ X0))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl22])).
% 0.58/0.90 thf(zip_derived_cl752, plain, ( (member @ x @ (intersection @ x @ x))),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl727])).
% 0.58/0.90 thf(zip_derived_cl762, plain,
% 0.58/0.90 (( (member @ x @ null_class) | ((x) = (null_class)))),
% 0.58/0.90 inference('sup+', [status(thm)], [zip_derived_cl459, zip_derived_cl752])).
% 0.58/0.90 thf(zip_derived_cl345, plain, (![X0 : $i]: ~ (member @ X0 @ null_class)),
% 0.58/0.90 inference('clc', [status(thm)], [zip_derived_cl315, zip_derived_cl115])).
% 0.58/0.90 thf(zip_derived_cl766, plain, (((x) = (null_class))),
% 0.58/0.90 inference('clc', [status(thm)], [zip_derived_cl762, zip_derived_cl345])).
% 0.58/0.90 thf(zip_derived_cl788, plain, (![X0 : $i]: ~ (member @ X0 @ x)),
% 0.58/0.90 inference('demod', [status(thm)], [zip_derived_cl345, zip_derived_cl766])).
% 0.58/0.90 thf(zip_derived_cl938, plain, ($false),
% 0.58/0.90 inference('sup-', [status(thm)], [zip_derived_cl302, zip_derived_cl788])).
% 0.58/0.90
% 0.58/0.90 % SZS output end Refutation
% 0.58/0.90
% 0.58/0.90
% 0.58/0.90 % Terminating...
% 0.59/0.97 % Runner terminated.
% 0.59/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------