%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET096-7 : 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.g1wlWaPx5C true
% Computer : n012.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 04:51:34 PM UTC 2025
% Result : Unsatisfiable 0.42s 0.98s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET096-7 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.05/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.g1wlWaPx5C true
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 13:07:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33 % Number of cores: 8
% 0.10/0.33 % Python version: Python 3.6.8
% 0.10/0.33 % Running in FO mode
% 0.39/0.58 % Total configuration time : 435
% 0.39/0.58 % Estimated wc time : 1092
% 0.39/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.40/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.40/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.40/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.41/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.42/0.77 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.42/0.98 % Solved by fo/fo3_bce.sh.
% 0.42/0.98 % BCE start: 76
% 0.42/0.98 % BCE eliminated: 2
% 0.42/0.98 % PE start: 74
% 0.42/0.98 logic: eq
% 0.42/0.98 % PE eliminated: 9
% 0.42/0.98 % done 180 iterations in 0.173s
% 0.42/0.98 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.42/0.98 % SZS output start Refutation
% 0.42/0.98 thf(null_class_type, type, null_class: $i).
% 0.42/0.98 thf(member_type, type, member: $i > $i > $o).
% 0.42/0.98 thf(y_type, type, y: $i).
% 0.42/0.98 thf(x_type, type, x: $i).
% 0.42/0.98 thf(singleton_type, type, singleton: $i > $i).
% 0.42/0.98 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.42/0.98 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.42/0.98 thf(corollary_of_null_class_is_subclass, axiom,
% 0.42/0.98 (( ~( subclass @ X @ null_class ) ) | ( ( X ) = ( null_class ) ))).
% 0.42/0.98 thf(zip_derived_cl47, plain,
% 0.42/0.98 (![X0 : $i]: (~ (subclass @ X0 @ null_class) | ((X0) = (null_class)))),
% 0.42/0.98 inference('cnf', [status(esa)], [corollary_of_null_class_is_subclass])).
% 0.42/0.98 thf(prove_two_subsets_of_singleton_1, conjecture,
% 0.42/0.98 (~( subclass @ x @ ( singleton @ y ) ))).
% 0.42/0.98 thf(zf_stmt_0, negated_conjecture, (subclass @ x @ ( singleton @ y )),
% 0.42/0.98 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_1])).
% 0.42/0.98 thf(zip_derived_cl75, plain, ( (subclass @ x @ (singleton @ y))),
% 0.42/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/0.98 thf(subclass_members, axiom,
% 0.42/0.98 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 0.42/0.98 thf(zip_derived_cl0, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.42/0.98 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 0.42/0.98 inference('cnf', [status(esa)], [subclass_members])).
% 0.42/0.98 thf(zip_derived_cl297, plain,
% 0.42/0.98 (![X0 : $i]: ( (member @ X0 @ (singleton @ y)) | ~ (member @ X0 @ x))),
% 0.42/0.98 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl0])).
% 0.42/0.98 thf(only_member_in_singleton, axiom,
% 0.42/0.98 (( ~( member @ Y @ ( singleton @ X ) ) ) | ( ( Y ) = ( X ) ))).
% 0.42/0.98 thf(zip_derived_cl67, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i]:
% 0.42/0.98 (~ (member @ X0 @ (singleton @ X1)) | ((X0) = (X1)))),
% 0.42/0.98 inference('cnf', [status(esa)], [only_member_in_singleton])).
% 0.42/0.98 thf(zip_derived_cl478, plain,
% 0.42/0.98 (![X0 : $i]: (~ (member @ X0 @ x) | ((X0) = (y)))),
% 0.42/0.98 inference('sup-', [status(thm)], [zip_derived_cl297, zip_derived_cl67])).
% 0.42/0.98 thf(not_subclass_members1, axiom,
% 0.42/0.98 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.42/0.98 thf(zip_derived_cl1, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i]:
% 0.42/0.98 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.42/0.98 | (subclass @ X0 @ X1))),
% 0.42/0.98 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.42/0.98 thf(zip_derived_cl484, plain,
% 0.42/0.98 (![X0 : $i]:
% 0.42/0.98 (((not_subclass_element @ x @ X0) = (y)) | (subclass @ x @ X0))),
% 0.42/0.98 inference('sup+', [status(thm)], [zip_derived_cl478, zip_derived_cl1])).
% 0.42/0.98 thf(zip_derived_cl1, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i]:
% 0.42/0.98 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.42/0.98 | (subclass @ X0 @ X1))),
% 0.42/0.98 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.42/0.98 thf(zip_derived_cl575, plain,
% 0.42/0.98 (![X0 : $i]:
% 0.42/0.98 ( (member @ y @ x) | (subclass @ x @ X0) | (subclass @ x @ X0))),
% 0.42/0.98 inference('sup+', [status(thm)], [zip_derived_cl484, zip_derived_cl1])).
% 0.42/0.98 thf(zip_derived_cl578, plain,
% 0.42/0.98 (![X0 : $i]: ( (subclass @ x @ X0) | (member @ y @ x))),
% 0.42/0.98 inference('simplify', [status(thm)], [zip_derived_cl575])).
% 0.42/0.98 thf(property_of_singletons2, axiom,
% 0.42/0.98 (( ~( member @ X @ Y ) ) | ( subclass @ ( singleton @ X ) @ Y ))).
% 0.42/0.98 thf(zip_derived_cl72, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i]:
% 0.42/0.98 (~ (member @ X0 @ X1) | (subclass @ (singleton @ X0) @ X1))),
% 0.42/0.98 inference('cnf', [status(esa)], [property_of_singletons2])).
% 0.42/0.98 thf(zip_derived_cl661, plain,
% 0.42/0.98 (![X0 : $i]: ( (subclass @ x @ X0) | (subclass @ (singleton @ y) @ x))),
% 0.42/0.98 inference('sup-', [status(thm)], [zip_derived_cl578, zip_derived_cl72])).
% 0.42/0.98 thf(zip_derived_cl75, plain, ( (subclass @ x @ (singleton @ y))),
% 0.42/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.42/0.98 thf(subclass_implies_equal, axiom,
% 0.42/0.98 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.42/0.98 thf(zip_derived_cl6, plain,
% 0.42/0.98 (![X0 : $i, X1 : $i]:
% 0.42/0.98 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 0.42/0.98 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 0.42/0.98 thf(zip_derived_cl322, plain,
% 0.42/0.98 ((((x) = (singleton @ y)) | ~ (subclass @ (singleton @ y) @ x))),
% 0.42/0.98 inference('sup-', [status(thm)], [zip_derived_cl75, zip_derived_cl6])).
% 0.42/0.98 thf(prove_two_subsets_of_singleton_3, conjecture,
% 0.42/0.98 (( singleton @ y ) = ( x ))).
% 0.42/0.98 thf(zf_stmt_1, negated_conjecture, (( singleton @ y ) != ( x )),
% 0.42/0.98 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_3])).
% 0.42/0.98 thf(zip_derived_cl73, plain, (((singleton @ y) != (x))),
% 0.42/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.42/0.98 thf(zip_derived_cl325, plain, (~ (subclass @ (singleton @ y) @ x)),
% 0.42/0.98 inference('simplify_reflect-', [status(thm)],
% 0.42/0.98 [zip_derived_cl322, zip_derived_cl73])).
% 0.42/0.98 thf(zip_derived_cl674, plain, (![X0 : $i]: (subclass @ x @ X0)),
% 0.42/0.98 inference('clc', [status(thm)], [zip_derived_cl661, zip_derived_cl325])).
% 0.42/0.98 thf(zip_derived_cl680, plain, (((x) = (null_class))),
% 0.42/0.98 inference('sup+', [status(thm)], [zip_derived_cl47, zip_derived_cl674])).
% 0.42/0.98 thf(prove_two_subsets_of_singleton_2, conjecture, (( x ) = ( null_class ))).
% 0.42/0.98 thf(zf_stmt_2, negated_conjecture, (( x ) != ( null_class )),
% 0.42/0.98 inference('cnf.neg', [status(esa)], [prove_two_subsets_of_singleton_2])).
% 0.42/0.98 thf(zip_derived_cl74, plain, (((x) != (null_class))),
% 0.42/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.42/0.98 thf(zip_derived_cl682, plain, ($false),
% 0.42/0.98 inference('simplify_reflect-', [status(thm)],
% 0.42/0.98 [zip_derived_cl680, zip_derived_cl74])).
% 0.42/0.98
% 0.42/0.98 % SZS output end Refutation
% 0.42/0.98
% 0.42/0.98
% 0.42/0.98 % Terminating...
% 2.28/1.20 % Runner terminated.
% 2.33/1.22 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------